5/60 - p**4/12 + p**3/2 + 2*p**2 + 25*p. Let h(b) be the first derivative of j(b). Factor h(m).
-(m - 1)*(m + 3)
Solve 0 - 21/4*i**2 - 11/2*i**3 + 0*i - 1/4*i**4 = 0 for i.
-21, -1, 0
Let x = 859066/9 - 95330. Let z = 122 - x. Let 0*i**2 + 2/3*i + 4/9 - z*i**3 = 0. What is i?
-1, 2
Let x be (17 - 17)/(2*1). Let j(l) be the third derivative of 0*l**3 + 0*l**5 + 0*l**4 - 4*l**2 + x*l + 0 - 1/720*l**6. Factor j(r).
-r**3/6
Let s(i) be the third derivative of 0*i**4 + 4/45*i**7 + 1/45*i**5 + 0 + 2/63*i**8 + 0*i - 22*i**2 + 7/90*i**6 + 0*i**3. Determine h so that s(h) = 0.
-1, -1/2, -1/4, 0
Let k(o) be the second derivative of 2*o**6/75 - 11*o**5/100 - o**4/20 + 8*o**3/15 + 2*o**2/5 + 25*o - 3. Factor k(r).
(r - 2)**2*(r + 1)*(4*r + 1)/5
Let c be (4 - 10)/(1 + -7 + 2). Let v(k) be the second derivative of -c*k**2 + 0 + 7/6*k**3 - 3*k + 1/20*k**5 - 5/12*k**4. Factor v(b).
(b - 3)*(b - 1)**2
Let i(t) be the first derivative of -125*t**6/33 - 10*t**5 + 265*t**4/22 + 258*t**3/11 - 432*t**2/11 + 216*t/11 - 21. Find l, given that i(l) = 0.
-2, 3/5
Let r(z) be the second derivative of 0 - 23*z + 0*z**3 + 0*z**2 - 1/28*z**4. Factor r(k).
-3*k**2/7
Let w(g) be the second derivative of -1/42*g**4 - 6/7*g**3 - 28*g + 0 - 81/7*g**2. Factor w(k).
-2*(k + 9)**2/7
Let h be (48/(-36))/((-2)/(-48)). Let m be 6/h*12/(-9). What is z in m*z**4 + 13/4*z**2 + 3*z + 3/2*z**3 + 1 = 0?
-2, -1
Suppose 0 = 3*g, -l - 5*g + 3 = -6*g. Let b(u) be the third derivative of 0*u**l + 1/105*u**5 + 0*u - 8*u**2 + 0 + 1/14*u**4. Determine r so that b(r) = 0.
-3, 0
Let g(j) be the first derivative of -j**6/180 - j**5/54 + j**4/54 + 13*j**2/2 + 12. Let t(f) be the second derivative of g(f). Let t(l) = 0. What is l?
-2, 0, 1/3
Find o, given that 1/4*o**3 + 3/8*o**4 - 1/8 - 3/8*o - 1/4*o**2 + 1/8*o**5 = 0.
-1, 1
Let 2/5*h**4 - 2/5*h**3 - 32/5*h**2 + 0 - 8*h = 0. What is h?
-2, 0, 5
Solve -2 + 4*y**2 - 11/3*y + 5/3*y**3 = 0.
-3, -2/5, 1
Suppose -390 = -19*i - 59*i. Let z(m) be the first derivative of 3/4*m**4 - m**3 + 0*m + 0*m**2 - 1/2*m**6 - 11 + 3/5*m**i. Factor z(g).
-3*g**2*(g - 1)**2*(g + 1)
Let o = -544 + 544. Suppose -4*m + 17 = c, 7*c - 2*c = 5*m - 15. Find x such that -3*x**3 + 2 - 2*x**4 - 4*x + o + 3*x**3 + m*x**3 = 0.
-1, 1
Suppose 7*r - 990 = -11*r. Suppose -8*l - r = -71. Let 7/4*a - 1/2 + a**l = 0. Calculate a.
-2, 1/4
Let t(x) be the second derivative of x**7/14 - 3*x**5/20 + 202*x - 1. Determine i so that t(i) = 0.
-1, 0, 1
Let x(c) be the third derivative of c**5/210 + c**4/42 - c**3/7 + 32*c**2. What is l in x(l) = 0?
-3, 1
Let b be 124/(-10) - (-14)/35. Let l be (b + 11)*4*-1. Solve 34*k**2 + 3*k**5 + 21*k**l + 57*k**3 - 7*k**2 + 12 + 48*k**2 + 48*k = 0 for k.
-2, -1
Let l(f) be the first derivative of -f**6/24 + 7*f**5/20 + f**4/8 - 7*f**3/6 - f**2/8 + 7*f/4 + 94. What is m in l(m) = 0?
-1, 1, 7
Let q(j) be the third derivative of -2/105*j**7 + 38*j**2 + 1/24*j**4 - 1/15*j**5 + 0*j + 0 + 1/336*j**8 + 0*j**3 + 1/20*j**6. Determine z, given that q(z) = 0.
0, 1
What is s in 176*s**4 - 72*s**3 - 13*s - 3*s - 208*s**4 - 64*s**2 - 5*s**5 = 0?
-2, -2/5, 0
Let t(m) be the third derivative of -2*m**7/105 + 2*m**6/15 + 26*m**5/15 - 10*m**4 - 150*m**3 + 73*m**2 - m. Solve t(q) = 0 for q.
-3, 5
Let c(n) be the third derivative of -n**8/756 - 2*n**7/135 - 17*n**6/270 - 17*n**5/135 - n**4/9 + 54*n**2. Find y, given that c(y) = 0.
-3, -2, -1, 0
Let r(m) be the third derivative of -m**6/600 - 3*m**5/100 - 7*m**4/60 - 8*m**2 - 7. Find n such that r(n) = 0.
-7, -2, 0
Let t be 14 + (-35)/(6300/2080). Suppose -28/9*f**2 - 2/9*f**5 + t*f + 2/9*f**4 + 4/3*f**3 - 2/3 = 0. Calculate f.
-3, 1
Suppose -p = 11 - 31. Factor 0*q**2 + 4*q**2 + 50 + p*q - 6*q**2 + 4*q**2.
2*(q + 5)**2
Let z(j) be the third derivative of j**6/420 + 3*j**5/70 - 11*j**4/42 + 93*j**2. Factor z(f).
2*f*(f - 2)*(f + 11)/7
Let w(u) be the first derivative of u**6/8 + 18*u**5/5 + 129*u**4/8 + 31*u**3 + 243*u**2/8 + 15*u + 83. Factor w(y).
3*(y + 1)**4*(y + 20)/4
Let z(a) = 5*a**4 - 4*a**3 - 5*a**2 + 4*a - 4. Let x(f) = f**4 - f**3 - f**2 + f - 1. Let q(m) = 4*x(m) - z(m). Factor q(b).
-b**2*(b - 1)*(b + 1)
Let s(a) = -a. Let o(w) = 2*w**2 - 4*w. Let c(h) = -h**3 + 14*h**2 + 16*h - 16. Suppose 4*j - 25 = 35. Let x be c(j). Let i(g) = x*o(g) + 2*s(g). Factor i(f).
-2*f*(f - 1)
Let h(y) be the first derivative of -y**4/2 + 4*y**3 - 3*y**2 - 20*y + 122. Factor h(d).
-2*(d - 5)*(d - 2)*(d + 1)
Let f(o) be the first derivative of -28*o**4/5 + 204*o**3/5 + 176*o**2/5 + 48*o/5 - 35. Determine t, given that f(t) = 0.
-2/7, -1/4, 6
Suppose 45*r + 6 = 39*r. Let i be 22/5 + r + (-9)/(-15). Suppose -392/9*f**i - 8/9 + 94/9*f**2 + 8/3*f - 56/3*f**3 = 0. Calculate f.
-1/2, 2/7
Let i be (-1)/((21/(-6))/(-7)). Let a be 1/i*(-40)/10. Solve 0*f**2 - 6*f**3 + 0*f**5 - 2*f**5 + 3*f**4 + 2*f**a + 3*f**4 = 0.
0, 1
Let h(u) be the third derivative of u**7/6720 + u**6/480 + u**5/192 - u**3/6 + 36*u**2. Let a(j) be the first derivative of h(j). Solve a(l) = 0.
-5, -1, 0
Let l = -112112/3 + 37372. Let g(h) = -h**2 + 1. Let c be g(1). Factor -l*m**5 + 0 - 4/3*m + 0*m**2 + c*m**4 + 8/3*m**3.
-4*m*(m - 1)**2*(m + 1)**2/3
Let m(o) be the third derivative of 0*o + o**2 - 1/200*o**6 + 1/10*o**4 - 4/5*o**3 - 49 + 1/50*o**5. Suppose m(b) = 0. What is b?
-2, 2
Factor 10*w + 5*w**2 - 46 + 32 + 5*w - 36.
5*(w - 2)*(w + 5)
Let l(z) be the third derivative of -z**6/120 + 7*z**5/40 - 3*z**4/4 + 13*z**3/3 + z**2 + 3. Let f(s) be the first derivative of l(s). Factor f(w).
-3*(w - 6)*(w - 1)
Let q be (2535/(-26))/(-15) - 6. Factor 1/2 + r + q*r**2.
(r + 1)**2/2
Factor 52/7*s - 12/7 - 16/7*s**2.
-4*(s - 3)*(4*s - 1)/7
Let q = -3 + 10. Suppose h - 2*a - 10 = 0, 0 = -5*h + a - q + 30. Let -3*m**2 - 5*m**2 + h*m - 18 - 16*m + 6*m**2 = 0. What is m?
-3
Factor 2*h - 61*h**2 - 12 + 0*h - 43*h**2 + 106*h**2.
2*(h - 2)*(h + 3)
Let 6450*g**2 + 766 + 2415*g**3 - 735*g**4 - 174 - 9100*g**3 - 266 - 126 - 1980*g = 0. What is g?
-10, 2/7, 1/3
Let f(m) be the first derivative of m**4/7 - 20*m**3/21 - 94. Suppose f(h) = 0. Calculate h.
0, 5
Let k(x) be the first derivative of 2*x**7/735 + 13*x**6/630 + 11*x**5/210 + x**4/21 + 10*x**3/3 - 10. Let v(w) be the third derivative of k(w). Factor v(z).
4*(z + 1)*(z + 2)*(4*z + 1)/7
Factor -7*z**2 - 7*z + 5*z**2 + 5*z - 364*z.
-2*z*(z + 183)
Let c(q) be the first derivative of -8*q**6/27 + 82*q**5/45 - 77*q**4/18 + 130*q**3/27 - 23*q**2/9 + 4*q/9 - 452. Determine h, given that c(h) = 0.
1/8, 1, 2
Let q(l) be the second derivative of -l**4/3 + 2*l**3 + 20*l**2 - 37*l - 2. Factor q(r).
-4*(r - 5)*(r + 2)
Let w = 1125 + -5609/5. Factor -2*o**2 - 2/5*o**3 - 8/5 - w*o.
-2*(o + 1)*(o + 2)**2/5
What is l in 24/7*l**2 + 16/7*l + 12/7*l**3 + 2/7*l**4 + 0 = 0?
-2, 0
Let i(l) be the second derivative of -5*l**4/12 - 5*l**3/3 + 20*l**2 + 2*l - 70. Find r, given that i(r) = 0.
-4, 2
Let s(o) be the first derivative of -o**5/240 + o**4/48 + o**3/8 - 19*o**2/2 + 13. Let c(a) be the second derivative of s(a). Let c(m) = 0. Calculate m.
-1, 3
Let r(f) = 5*f**4 - 11*f**3 - 11*f**2 + 23*f + 6. Let j(c) = -6*c**4 + 12*c**3 + 12*c**2 - 26*c - 6. Let m(x) = 6*j(x) + 7*r(x). Find l, given that m(l) = 0.
-3, -2, -1, 1
Let c(q) be the second derivative of -5/8*q**2 - 1/48*q**4 - q + 1/4*q**3 + 0. Factor c(t).
-(t - 5)*(t - 1)/4
Let k(a) be the third derivative of a**10/50400 - a**8/2240 - a**7/840 - 3*a**5/20 - 7*a**2. Let t(s) be the third derivative of k(s). Factor t(q).
3*q*(q - 2)*(q + 1)**2
Suppose -779*o**3 + 156*o - 23*o**2 - 61*o**2 - 54 - 22 + 783*o**3 = 0. What is o?
1, 19
Let r(c) = -2*c**2 - 1. Let h be r(3). Let x = h + 21. Suppose -x*v**3 + 0*v**3 + 11 + 4*v**4 + 2*v**5 - 4*v**2 - 11 = 0. What is v?
-2, -1, 0, 1
Let n(a) = a**2 + 5*a + 6. Let c be n(-5). Suppose 2*x**4 + 13*x**2 + 31*x**2 - 72*x - 16*x**3 + 12 + c + 24*x = 0. Calculate x.
1, 3
Let n(h) be the third derivative of -h**9/241920 - h**8/13440 + h**6/90 - 4*h**5/15 - 12*h**2. Let o(s) be the third derivative of n(s). Factor o(l).
-(l - 2)*(l + 4)**2/4
Let s(j) be the first derivative of j**8/3360 + j**7/840 + 11*j**3/3 - 12. Let c(z) be the third derivative of s(z). Determine r, given that c(r) = 0.
-2, 0
Suppose -2*c + 4 + 5 = 3*g, 12 = 4*g + c. Factor 8/5 - 4/5*x**g + 16/5*x**2 - 4*x.