e of -a**5/40 + 21*a**4/16 + 11*a**3/2 + a**2 - 15. Determine v, given that x(v) = 0.
-1, 22
Let l(v) be the first derivative of v**4/10 + 8*v**3/5 + 48*v**2/5 + 4*v - 8. Let f(d) be the first derivative of l(d). Find r, given that f(r) = 0.
-4
Let c be ((-12)/2 - 3) + 9. Let g(n) be the second derivative of -1/30*n**6 + 1/84*n**7 + 1/40*n**5 + 0*n**3 + c*n**2 + 0 + 0*n**4 + 5*n. Factor g(y).
y**3*(y - 1)**2/2
Let l(a) be the second derivative of -a**7/168 - a**6/24 + a**5/16 + 25*a**4/48 - a**3/6 - 5*a**2/2 + 433*a. Determine p, given that l(p) = 0.
-5, -2, -1, 1, 2
Let i(d) = d**2 + 85*d + 750. Let z be i(-75). Determine l, given that 4/13*l + 2/13*l**5 + z - 10/13*l**4 + 18/13*l**3 - 14/13*l**2 = 0.
0, 1, 2
Let m = 4833 + -7730. Let c = m - -20327/7. Factor c*z**4 - 72/7*z**3 + 0 - 6/7*z - 45/7*z**2.
3*z*(z - 2)*(4*z + 1)**2/7
Let k(x) be the second derivative of -x**4/24 - x**3/3 - 2*x - 49. Factor k(w).
-w*(w + 4)/2
Let a(j) be the second derivative of -j**6/50 - 3*j**5/50 + 3*j**4/5 + 4*j**3/5 - 48*j**2/5 + 25*j. What is u in a(u) = 0?
-4, -2, 2
Let h(c) = -1. Let z(n) = 18*n**4 - 50*n**3 - 12*n**2 + 8. Let y(i) = -8*h(i) - z(i). Factor y(f).
-2*f**2*(f - 3)*(9*f + 2)
Let z = -32849/7 + 4695. Factor 0*b + z*b**3 + 0 - b**4 - 4/7*b**2.
-b**2*(b - 2)*(7*b - 2)/7
Let a(g) = g**2 - 23*g + 111. Let p be a(8). Let c be ((-12)/8)/(p/12). Factor -5/2*s**c - 5 - 15/2*s.
-5*(s + 1)*(s + 2)/2
Let f = -1 - -1. Let b be 6/8*(4 - f). Let 11*a + 104*a**2 - 63*a + 5 - 29 - 28*a**b = 0. Calculate a.
-2/7, 1, 3
Let 11*o - 1 + 6*o**3 + 27*o**2 - 9*o + 19 + 37*o = 0. What is o?
-2, -3/2, -1
Suppose 4*r - 12 = 0, 2*v + 0*v + 3*r = 17. Suppose -4*h + 9*h - 15 = 0, -1 = v*m - 3*h. Let -1/5*y**m - 1/5*y**3 + 0 + 0*y = 0. Calculate y.
-1, 0
Suppose 0 = -19*w + 21*w + 12, 3*m + 3*w + 18 = 0. Solve -2/5*c + 2/5*c**3 + m*c**2 + 0 = 0.
-1, 0, 1
Suppose 0 = -11*x + 99 - 22. Factor -6*l**2 + x*l + 9*l**3 - 3*l - 3*l**4 - 3*l**4 - 25*l**3.
-2*l*(l + 1)*(l + 2)*(3*l - 1)
Let l(y) be the first derivative of -y**5/70 + y**4/21 + 6*y + 42. Let p(b) be the first derivative of l(b). Factor p(a).
-2*a**2*(a - 2)/7
Let j(d) be the third derivative of -d**7/945 + d**6/108 - 4*d**5/135 + d**4/27 - 2*d**2 + 25*d. Factor j(w).
-2*w*(w - 2)**2*(w - 1)/9
Let a(p) = p**3 - 2*p**2 - 2*p - 1. Let z be a(3). Suppose -5*d + 31 = 3*x, 8*x - 4*x = 2*d - z. Find o such that 8*o - 4 + 3*o**2 - 6*o**2 + o**x - 2 = 0.
1, 3
Let v(z) = -14*z**4 - 12*z**3 - 17*z**2 + 12*z + 20. Let c(o) = 5*o**4 + 4*o**3 + 6*o**2 - 4*o - 7. Let b(u) = 11*c(u) + 4*v(u). Factor b(f).
-(f - 1)*(f + 1)**2*(f + 3)
Let t(i) = 14*i**5 - 7*i**4 - 41*i**3 - 25*i**2 + 10*i. Let l(w) = 8*w**5 - 3*w**4 - 21*w**3 - 13*w**2 + 6*w. Let k(q) = 5*l(q) - 3*t(q). Solve k(j) = 0.
-1, 0, 5
Let q(r) be the first derivative of r**5/20 - 5*r**4/16 + 2. What is c in q(c) = 0?
0, 5
Let p(d) = 10 - d + 7*d - d - 28. Let o be p(4). Find c such that 0 + c**o - 1/7*c**5 - 9/7*c**3 - 2/7*c + 5/7*c**4 = 0.
0, 1, 2
Let o(b) = -16*b**3 + 94*b**2 + 60*b + 12. Let u(m) = -16*m**3 + 92*m**2 + 61*m + 13. Let y(x) = 6*o(x) - 5*u(x). Solve y(h) = 0.
-1/4, 7
Let m = 1649 + -1649. What is y in 7/6*y**3 + m - 3/2*y**2 + 1/3*y = 0?
0, 2/7, 1
Let w(v) = v**2 + 2*v - 5. Let a be w(-3). Let n be 0/1 + (0 - a). Factor -n + 3*z + z**2 - 4*z + z**3 + z**2.
(z - 1)*(z + 1)*(z + 2)
Let x(y) be the first derivative of y**5/80 + 7*y**4/48 - 17*y**3/24 + 9*y**2/8 + 18*y + 37. Let g(r) be the first derivative of x(r). Factor g(d).
(d - 1)**2*(d + 9)/4
Factor -250*b**3 - 14*b - 114*b + 4*b**4 - 112*b**2 + 234*b**3.
4*b*(b - 8)*(b + 2)**2
Suppose 3 = -4*r + 5*s, 0 = r - 96*s + 93*s + 6. Determine p, given that -1/3*p**4 + p**r + 0 + 0*p**2 + 0*p = 0.
0, 3
Let i(m) be the first derivative of 0*m + 1/8*m**4 - 26 + 4/3*m**3 + 4*m**2. Find p such that i(p) = 0.
-4, 0
Suppose 10*t**4 - 60 - 8*t**4 - 34*t**3 + 47*t**2 + 11*t**2 + 49*t - 15*t = 0. What is t?
-1, 1, 2, 15
Factor -2/5 + 0*t + 0*t**3 - 2/5*t**4 + 4/5*t**2.
-2*(t - 1)**2*(t + 1)**2/5
Let j(g) be the first derivative of g**7/21 - g**6/5 + 3*g**5/10 - g**4/6 - 4*g - 18. Let c(t) be the first derivative of j(t). Suppose c(o) = 0. What is o?
0, 1
Let w(p) = p**2 - 33*p + 22. Let m be w(32). Let v be (1 - 21/27) + m/(-36). Solve v*n**3 - 1/2*n**4 + 1/2*n**2 + 0*n + 0 - 1/2*n**5 = 0.
-1, 0, 1
Let x = -233 - -239. Let z(a) be the third derivative of 0 - 1/330*a**x + 1/330*a**5 + 0*a**3 + 0*a**4 + 0*a - 5*a**2 + 1/1155*a**7. Factor z(h).
2*h**2*(h - 1)**2/11
Let u(z) be the third derivative of z**8/1512 - z**6/135 - z**5/135 + z**4/36 + 2*z**3/27 + 20*z**2. What is j in u(j) = 0?
-1, 1, 2
Let -11250 + 81*o - 62*o + 159*o - 2*o**2 - 33*o + 155*o = 0. Calculate o.
75
Determine w so that 11*w - 55 - 4*w**2 + 30*w + 14*w + 3 + w = 0.
1, 13
Solve 49079*p**5 - 46 - 62 - 49070*p**5 + 293*p**2 - 173*p**3 - 237*p**4 + 112*p = 0 for p.
-1, 2/3, 27
Let x be ((-45)/(-75))/(2/5). Let -3*g + x*g**2 + 0 = 0. What is g?
0, 2
Let o(f) be the third derivative of 1/630*f**7 - 7*f**2 + 0*f**4 + 0*f + 1/18*f**3 - 1/90*f**5 + 0 + 0*f**6. Factor o(h).
(h - 1)**2*(h + 1)**2/3
Let w(u) be the second derivative of 2*u**6/15 - u**4 + 4*u**3/3 - 110*u. Factor w(s).
4*s*(s - 1)**2*(s + 2)
Let c(f) be the first derivative of f**6/18 - f**5/3 + f**4/6 + 14*f**3/9 - f**2/2 - 3*f - 53. Suppose c(x) = 0. What is x?
-1, 1, 3
Let v(j) be the first derivative of -2/13*j**2 + 0*j + 19 - 1/26*j**4 + 2/13*j**3. Factor v(i).
-2*i*(i - 2)*(i - 1)/13
Let c be (-10 - -5 - -5)/(10 + -13). Factor -2/13*l + c + 8/13*l**3 - 6/13*l**2.
2*l*(l - 1)*(4*l + 1)/13
Let o(r) be the second derivative of r**7/14 - r**6/2 + 21*r**5/20 + r**4/4 - 4*r**3 + 6*r**2 + 10*r - 3. Let o(h) = 0. Calculate h.
-1, 1, 2
Let y(n) be the first derivative of 4*n**5/5 - 28*n**4 + 100*n**3 + 8*n**2 - 400*n + 404. Determine j so that y(j) = 0.
-1, 2, 25
Let f(q) = 3*q**2 - 9*q - 8. Let w be -1 - 2/(2/(-9)). Let i(p) = 2*p**2 - 6*p - 5. Let j(c) = w*i(c) - 5*f(c). Solve j(s) = 0.
0, 3
Let h be (-18)/36*-6*(-4)/(-6). Find i, given that -6/19*i**5 - 44/19*i**4 - 84/19*i**h - 104/19*i**3 + 0 - 18/19*i = 0.
-3, -1, -1/3, 0
Let y(o) be the third derivative of o**6/420 + 17*o**5/210 + 9*o**4/28 - 15*o**3/7 + 2*o**2 + 188*o. Find x such that y(x) = 0.
-15, -3, 1
Let v(m) = 3*m**4 + 4*m**3 - 9*m**2 - 2*m. Let r = 82 - 85. Let l(f) = 2*f**4 + 4*f**3 - 8*f**2 - f. Let n(i) = r*v(i) + 4*l(i). What is k in n(k) = 0?
0, 1, 2
Let h(k) = -2*k**2 + 15*k - 12. Let l be h(6). Solve -4*m**3 + 2*m + 2*m**4 + 10*m**3 + l*m**2 + 0*m**3 = 0 for m.
-1, 0
Factor 2*d**3 - 32*d**2 - 15*d**2 + 29*d**2.
2*d**2*(d - 9)
Factor 7/2*p**2 + 1/8*p**3 - 59/8*p + 15/4.
(p - 1)**2*(p + 30)/8
Let t(z) be the third derivative of -z**5/480 - z**4/96 + 5*z**3/16 - 36*z**2. Factor t(c).
-(c - 3)*(c + 5)/8
Let f = 1345 - 4025/3. Determine n so that f - 8/3*n - 2/3*n**2 = 0.
-5, 1
Let r(g) = -g**2 - 4*g + 1. Let j be r(-3). Suppose 31 = 5*q + j*d, q + 9 = 2*d + d. Find c such that 8 + 9*c - 5 + 3*c**2 - q*c = 0.
-1
Find j such that j**2 + 5/7*j - 2/7 = 0.
-1, 2/7
Let n be (-20)/(-12)*(-24)/(-5). Let w(o) be the first derivative of 8*o**3 - 6*o - n + 3/2*o**2 + 15/4*o**4. Find x, given that w(x) = 0.
-1, 2/5
Let z = 1462/4359 - 3/1453. Factor -z*b - 1/6 - 1/6*b**2.
-(b + 1)**2/6
Factor 32/17*d + 2/17*d**2 + 128/17.
2*(d + 8)**2/17
Factor -219/5*p**2 - 3/5*p**3 - 45 + 447/5*p.
-3*(p - 1)**2*(p + 75)/5
What is h in -18/7*h**3 - 200/7*h - 120/7*h**2 + 0 = 0?
-10/3, 0
Suppose 10*f = 14*f - 68. Solve 875*w**2 - f*w + w - 879*w**2 - 16 = 0.
-2
Let g(k) be the second derivative of -k**7/1680 + k**6/120 - 3*k**5/80 + 29*k**3/6 + 20*k. Let o(c) be the second derivative of g(c). Solve o(y) = 0.
0, 3
Let p be (-3 - -1)*784/(-32). What is v in -4 + 77*v**4 - 12*v**3 - 5*v**3 - 73*v**2 + p*v**5 + 29*v + 0 - 61*v = 0?
-1, -2/7, 1
Let m(f) be the second derivative of 0 - 1/3*f**3 - 1/60*f**5 - 3/2*f**2 - 1/8*f**4 - 4*f. Let u(h) be the first derivative of m(h). Factor u(d).
-(d + 1)*(d + 2)
Let r(u) be the first derivative of 3*u**5/5 + 119*u**4/12 - 100*u**3/9 - 14*u**2/3 + 447. What is z in r(z) = 0?
-14, -2/9, 0, 1
Factor -85*w**3 + 8*w - 8*w**2 + 168*w**3 - 89*w**3.
-2*w*(w + 2)*(3*w - 2)
Suppose 3/7*i**2 + 60/7*i - 132/7 = 0. Calculate i.
-22, 2
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