 q**4 - 4*q**2 + 3*q - 5. Let c(x) = 5*b(x) - 8*u(x). Determine t so that c(t) = 0.
-1, 0, 1
Suppose -185 = 6*w - 1865. Suppose -t**5 + w*t**3 + t**4 - 280*t**3 = 0. What is t?
0, 1
Let h(x) be the second derivative of 5*x**6/6 + 7*x**5/4 + 5*x**4/6 + 15*x. Solve h(r) = 0.
-1, -2/5, 0
Let a(x) be the second derivative of -x**4/4 + 9*x**3 - 51*x**2/2 + 88*x. Factor a(d).
-3*(d - 17)*(d - 1)
Let v be 10 + 1 + (-846)/78. Determine t so that 2/13 - 4/13*t**2 + v*t**4 + 0*t**3 + 0*t = 0.
-1, 1
Let t(g) be the first derivative of -g**3 - 6*g**2 - 9*g + 112. Suppose t(p) = 0. What is p?
-3, -1
Let a be (-1272)/(-60) + -21 - (-14)/30. Solve 2/3*s**4 + 0*s**3 + 0*s - 4/3*s**2 + a = 0.
-1, 1
Let 36*f**2 + 46*f + 50 - 33*f**4 - 6*f**3 + 43*f + 31*f + 30*f**4 + 46 = 0. Calculate f.
-2, 4
Suppose 6*v - 4*l = 3*v + 311, 3*v = -3*l + 318. Let -6*d**4 + 100*d**2 - 35*d**5 + 29*d - 9*d + v*d**3 - 4*d**4 = 0. What is d?
-1, -2/7, 0, 2
Let z(y) be the second derivative of y**6/30 + 7*y**5/15 + 8*y**4/3 + 8*y**3 - 9*y**2/2 - 10*y. Let x(j) be the first derivative of z(j). Factor x(p).
4*(p + 2)**2*(p + 3)
Let r = 9061 - 9061. Factor 2/13*l**3 + 0 + r*l**2 + 0*l.
2*l**3/13
Determine k so that -15/2*k + 1/4*k**2 + 0 = 0.
0, 30
Let n(r) = -2*r - 2. Let t be n(-17). Let p be 0/(2/10 + t/40). Factor 1/5*l + p - 4/5*l**2.
-l*(4*l - 1)/5
Let q be ((-10)/24)/((-85)/(-68)*(-8)/6). Find a, given that 7/4*a + 3/2 + q*a**2 = 0.
-6, -1
Let h(r) be the first derivative of -r**6/60 - 2*r**5/25 - r**4/20 + 2*r**3/15 + 3*r**2/20 - 175. Find c, given that h(c) = 0.
-3, -1, 0, 1
Let l be -5 - ((-28)/12)/(4/12). Let b(f) be the first derivative of -4 - 2/3*f**l + 2/9*f**3 + 0*f. Find o such that b(o) = 0.
0, 2
Factor 17 - 16*w**2 - 1 + 1 + 14*w**3 - 5 - 10*w.
2*(w - 1)**2*(7*w + 6)
Let w(u) = -94*u**2 - 190*u - 22. Let r(t) = -13*t**2 - 27*t - 3. Let i(y) = 22*r(y) - 3*w(y). Factor i(l).
-4*l*(l + 6)
Let d(x) be the third derivative of x**9/332640 - x**8/55440 + x**7/27720 - 19*x**5/60 - 14*x**2. Let s(b) be the third derivative of d(b). Solve s(t) = 0.
0, 1
Let x(h) be the first derivative of 19*h**3 + 177*h**2/2 + 18*h + 293. Find v, given that x(v) = 0.
-3, -2/19
Let m(b) be the third derivative of -b**8/6720 + b**7/504 - 7*b**6/720 + b**5/40 - 23*b**4/24 - 33*b**2. Let k(t) be the second derivative of m(t). Factor k(u).
-(u - 3)*(u - 1)**2
Let a be (12/18)/((-32)/(-12)). Factor -1/2*m**2 + 0 + 1/4*m + 1/2*m**4 - a*m**5 + 0*m**3.
-m*(m - 1)**3*(m + 1)/4
Factor 14/5*j - 14/5*j**2 - 6/5*j**3 + 6/5.
-2*(j - 1)*(j + 3)*(3*j + 1)/5
Let a(t) be the third derivative of t**5/60 - 23*t**4/24 + 23*t**3/3 - 20*t**2. Let n be a(21). Determine m so that 4/3 - 4/3*m**3 - 4*m + n*m**2 = 0.
1
Suppose -143 = -h - 59. Let c be ((h/(-54))/(-7))/(2/6). Find k such that -c - 20/3*k**3 - 2*k**4 - 8*k**2 - 4*k = 0.
-1, -1/3
Suppose -2*g - 3*g + d = -21, -2*g + 30 = 5*d. Let t(b) be the second derivative of 0*b**2 - 1/9*b**3 - 3*b + 0 + 5/36*b**4 + 1/20*b**g. Factor t(k).
k*(k + 2)*(3*k - 1)/3
Let x(t) be the third derivative of t**5/15 - 16*t**4 + 1536*t**3 - 76*t**2. Determine z so that x(z) = 0.
48
Suppose 2*p - 15 = -p. Suppose 20 = 4*j + g, -j + 2*g + 4 = 2*j. Factor -o**5 + 0*o**4 - o**4 - o**2 + p*o**3 - 4 + 2*o**j - 8*o.
-(o - 2)**2*(o + 1)**3
Let x(l) = -2*l - 2. Suppose -5*h = u - 5 + 17, -4*h + 4*u = 0. Let b be x(h). Factor -2/9*d**b + 8/9 + 2/3*d.
-2*(d - 4)*(d + 1)/9
Let s be 5 + 570/(-135) + (-2)/3. Let p(d) be the second derivative of 5*d + s*d**3 + 0*d**2 - 1/36*d**4 + 0. Factor p(h).
-h*(h - 2)/3
Let l(i) be the third derivative of -1/90*i**6 - 1/15*i**5 + 0*i**4 + 0*i**3 + 0*i + 15*i**2 + 0. Solve l(v) = 0 for v.
-3, 0
Suppose 5*h = k - 1 - 8, -3*k - h = -11. Let b(u) be the second derivative of 0*u**2 - 1/60*u**k + 9*u + 0*u**3 + 0. Solve b(l) = 0 for l.
0
Let c = 7604/3339 - -4/477. Let w(o) be the second derivative of 7*o - c*o**2 + 8/21*o**3 - 1/42*o**4 + 0. Determine l, given that w(l) = 0.
4
Determine l so that -3/2*l**3 + 0 + 3*l + 3/2*l**2 = 0.
-1, 0, 2
Let j(a) = 6*a**5 + 33*a**4 + 24*a**3 - 18*a**2 - 33*a - 15. Let g(u) = -u**5 - u**3 + u**2 + u - 1. Let d(k) = -3*g(k) + j(k). What is p in d(p) = 0?
-2, -1, -2/3, 1
Find r such that -1/4*r**4 + 9/4*r + 1/4*r**5 + 5/2*r**2 - 5/2*r**3 - 9/4 = 0.
-3, -1, 1, 3
Let t(q) be the second derivative of q**7/70 + q**6/5 - 3*q**5/100 - q**4/2 + 786*q. Suppose t(k) = 0. What is k?
-10, -1, 0, 1
Let z(h) be the first derivative of h**3 - 45*h**2/2 + 42*h - 12. Solve z(y) = 0.
1, 14
Let s = -181 + 1273/7. Factor 0 - 12/7*j + s*j**2.
6*j*(j - 2)/7
Let k be -16 + 92/(-16) + 22. Factor 3/2*n**4 - 9/4*n - 7/2*n**3 + 4*n**2 + 1/2 - k*n**5.
-(n - 2)*(n - 1)**4/4
Suppose -5*s - 106 + 121 = 0. Let u(b) be the first derivative of -7 + 2/21*b**s - 1/7*b**2 + 0*b. Factor u(l).
2*l*(l - 1)/7
Let h(p) be the first derivative of p**5/20 + 5*p**4/8 + 3*p**3 + 27*p**2/4 + 27*p/4 - 20. Let h(u) = 0. Calculate u.
-3, -1
Suppose -57/2*i**3 + 6*i**4 - 12*i - 6 + 81/2*i**2 = 0. What is i?
-1/4, 1, 2
Let z(a) be the third derivative of 9*a**7/280 - 3*a**6/8 + 43*a**5/80 + 37*a**4/8 + 15*a**3/2 + 32*a**2. Suppose z(q) = 0. What is q?
-2/3, 3, 5
Let j(m) be the third derivative of -m**5/4 - 157*m**4/4 + 63*m**3/2 - 92*m**2. Factor j(p).
-3*(p + 63)*(5*p - 1)
Let y(h) be the third derivative of 0 + 1/300*h**7 + 13*h**2 - 1/600*h**6 + 0*h**3 + 0*h + 0*h**5 + 0*h**4. Solve y(r) = 0 for r.
0, 2/7
Suppose f - 22 = -3*x, -2*x = 5*f - 5*x - 20. Suppose 3*s + 5*n + f = 0, -3*s + 2*n + 34 = 6. Suppose -8*l**2 - 4*l**3 + 5 + 0 + 3 - 2*l + s*l = 0. Calculate l.
-2, -1, 1
Let v = 74 - 79. Let c(f) = -f + 3*f**4 - 2*f**4 - 1 - f**3 + 2*f - f**2. Let a(x) = 10*x**3 - 20*x**2 + 10*x - 5. Let d(s) = v*c(s) + a(s). Factor d(r).
-5*r*(r - 1)**3
Let i(z) = z**2 + 1. Let s(q) = -30*q**2 - 15*q - 5. Let x(d) = -25*i(d) - s(d). Factor x(f).
5*(f - 1)*(f + 4)
Factor 51/2*g**2 + 0 + 7/2*g**3 + 7*g.
g*(g + 7)*(7*g + 2)/2
Suppose 12 = 2*u + 2*u. Suppose 8*b - 3*b + 5 = -5*v, v = -4*b + 5. Find f such that 16*f**2 - 43*f + 27*f - b*f**3 - 2*f**u = 0.
0, 2
Factor -37*q + 102*q + 50 + 11*q**2 - q**2 - 6*q**3 + q**3.
-5*(q - 5)*(q + 1)*(q + 2)
Let z = -526/3 - -527/3. Let u = 136/207 + 2/207. Let u - d + z*d**2 = 0. What is d?
1, 2
Let k(c) be the third derivative of -c**9/1008 + c**8/245 - 11*c**7/1960 + c**6/420 + c**3 - 6*c**2. Let i(j) be the first derivative of k(j). Factor i(l).
-3*l**2*(l - 1)**2*(7*l - 2)/7
Let 24/11*z**2 - 2/11*z**3 + 96/11 - 8*z = 0. Calculate z.
2, 4, 6
Let d = -4499 - -49493/11. Find p such that -2/11*p**2 + 0 + d*p = 0.
0, 2
Suppose -10*o - 16 = 34. Let y be (0 - (-2)/o) + (-27)/(-30). Find u, given that y + 3/4*u**3 - 3/4*u - 1/4*u**4 - 1/4*u**2 = 0.
-1, 1, 2
Let x(p) = -p**2 - p - 1. Let o(g) = -16*g**2 - 20*g - 16. Let n(k) = o(k) - 12*x(k). What is v in n(v) = 0?
-1
Let x = 43 + -38. Suppose -63*z**3 - 27*z**3 + 540*z**2 + x*z**4 - 1015*z - 65*z = 0. What is z?
0, 6
Suppose -x = 5*l - 29, 0 = x - 2*x + 2*l - 6. Let f be (-17)/(-7) - (x + (-75)/21). Let h**f - 3/8*h + 0 + 3/8*h**3 = 0. Calculate h.
-3, 0, 1/3
Let x(u) be the third derivative of u**5/30 - u**4/24 + 2*u**3/3 + 12*u**2. Let r be x(2). Factor 9 - 3*n + r*n + 2*n**3 + 15*n**2 + 14*n + n**3.
3*(n + 1)**2*(n + 3)
Let f(a) be the third derivative of -a**7/490 - a**6/20 - 13*a**5/140 - 21*a**2 - 2. Factor f(y).
-3*y**2*(y + 1)*(y + 13)/7
Let o(p) be the third derivative of -p**7/3780 + p**5/180 - 7*p**4/24 + 7*p**2. Let j(x) be the second derivative of o(x). Solve j(y) = 0.
-1, 1
Let o(b) = 12*b**2 - 24*b. Suppose -2 - 3 = -t. Let f(g) = 4*g**2 - 8*g. Let v(n) = t*o(n) - 14*f(n). What is h in v(h) = 0?
0, 2
Determine o, given that -32*o**2 + 19*o**3 - 249*o - 33*o**2 + 40 - 4*o**3 - 245*o + 504*o = 0.
-2/3, 1, 4
Find c such that -2*c**2 - 8/3 + 5*c - 1/3*c**3 = 0.
-8, 1
Factor 5/2*f**2 - 2/3*f**3 + 11/12 - 8/3*f - 1/12*f**4.
-(f - 1)**3*(f + 11)/12
Let k(m) be the second derivative of -m**7/56 - 31*m**6/40 - 531*m**5/40 - 891*m**4/8 - 3645*m**3/8 - 6561*m**2/8 + 33*m + 7. Determine q so that k(q) = 0.
-9, -3, -1
Let i(u) be the second derivative of 1/2*u**4 + 0 - 5*u + 6/5*u**3 + 3/5*u**2. What is r in i(r) = 0?
-1, -1/5
Let x be -2*(-3)/393*-1. Let k = 1562/655 - x. Let 4/5*g**3 - 12/5*g**2 - 4/5*