29*g**2 + 7*g + 6 + 4*g + 84*g**3 = 0.
-1, -2/7, -1/4
Let u(b) be the second derivative of -3*b**8/1120 - b**7/840 + b**6/240 - b**4/2 - 12*b. Let c(z) be the third derivative of u(z). Factor c(v).
-3*v*(2*v + 1)*(3*v - 1)
Let l(m) be the first derivative of -2*m**3 + 9/2*m**2 + 1 - 4*m + 1/4*m**4. Let h(p) be the first derivative of l(p). What is k in h(k) = 0?
1, 3
Let z(h) be the second derivative of -h**6/60 + 5*h**4/24 - h**2 + 29*h. Suppose z(a) = 0. Calculate a.
-2, -1, 1, 2
Let h(t) be the first derivative of t**4/4 - 224*t**3/9 - 25*t**2/2 + 85. Determine j so that h(j) = 0.
-1/3, 0, 75
Let k(j) = -3*j - 2 + 5*j + 0*j**2 + 6*j**2. Let c(i) = i**3 + 13*i**2 + 5*i - 5. Let x be 4*-5*9/(-60) - 1. Let h(l) = x*c(l) - 5*k(l). Solve h(q) = 0.
0, 2
Factor 2/21*y**3 - 6/7*y**2 + 0 - 20/21*y.
2*y*(y - 10)*(y + 1)/21
Suppose -2*j + 4 = -0*j, 2*m - 4*j + 6 = 0. Factor m + 5*o**3 - 3*o**2 - 11 - 5*o + 13*o**2.
5*(o - 1)*(o + 1)*(o + 2)
Let d = -2 + 2. Factor l + 11*l - 7*l - 5*l**3 - 5 + 5*l**2 + d*l.
-5*(l - 1)**2*(l + 1)
What is n in -95 + 25/2*n**2 - 465/2*n = 0?
-2/5, 19
Let s = 12 - 57. Let m be ((-15)/s)/((-1)/(-6)). Factor -4*c**2 + 3*c + 5*c - 3 + 2*c**m - 5.
-2*(c - 2)**2
Let a(w) = w**2 - 3*w - 10. Let i be a(5). Let z(g) be the second derivative of 0*g**2 - 1/30*g**5 + i - 1/9*g**4 - g - 1/9*g**3. Factor z(f).
-2*f*(f + 1)**2/3
Let g(n) = -n + 17. Let j be g(2). Suppose 26*c**3 + 0*c**4 - 25*c - j*c**3 + 14*c**3 + 5*c**4 - 5*c**2 = 0. Calculate c.
-5, -1, 0, 1
Let g(w) be the second derivative of -2/105*w**6 - 30*w + 0 + 0*w**2 + 0*w**3 + 2/35*w**5 - 1/21*w**4. Factor g(b).
-4*b**2*(b - 1)**2/7
Let p(t) = -154*t**5 - 460*t**4 - 92*t**3 + 14*t**2 + 14. Let u(z) = 31*z**5 + 92*z**4 + 18*z**3 - 3*z**2 - 3. Let o(c) = -3*p(c) - 14*u(c). Factor o(f).
4*f**3*(f + 3)*(7*f + 2)
Let z(j) be the first derivative of 2*j**3 + 13 + 0*j - 9/4*j**2 - 3/8*j**4. What is v in z(v) = 0?
0, 1, 3
Let u = 16777/5 + -3353. Suppose 5*i - 17 = -v, 0*v + 3*v = -5*i + 21. Factor -8/5*r - u + 4/5*r**v.
4*(r - 3)*(r + 1)/5
Determine n so that -1/7*n**3 + 444/7*n**2 - 65712/7*n + 3241792/7 = 0.
148
Determine m, given that 0*m + 0*m**4 + 0*m**2 - 2/17*m**5 + 8/17*m**3 + 0 = 0.
-2, 0, 2
Let k(q) be the second derivative of -5*q**4/12 + 100*q**3/3 - 1000*q**2 + 49*q. Factor k(u).
-5*(u - 20)**2
Let b(q) be the third derivative of q**6/280 - 89*q**5/140 + 43*q**4/7 - 170*q**3/7 - 697*q**2. Factor b(j).
3*(j - 85)*(j - 2)**2/7
Let g = -3 - 2. Let i(w) = -5*w + 1. Let z be i(g). Factor -40*x + z*x + 16*x - 2*x**2.
-2*x*(x - 1)
Let m(k) be the first derivative of -4/15*k + 16 + 1/5*k**2 - 2/45*k**3. Factor m(q).
-2*(q - 2)*(q - 1)/15
Suppose 31*p = 14*p - 2*p. Suppose -2/11*d**2 + 2/11 + p*d = 0. What is d?
-1, 1
Suppose -6*r + 8*r = 350. Let l be (9/10)/(5*42/r). Factor -l*s + 3/8*s**2 + 3/8.
3*(s - 1)**2/8
Suppose 3*c = 3*u + 2*u - 5, 0 = -4*c + 5*u. Suppose 0 = 5*h + 4*z - 173, -c*h - 5*z = -0*h - 175. Factor -h*y - y**3 + 33*y - y**2.
-y**2*(y + 1)
Let q(k) be the first derivative of -45 + 0*k + 28/17*k**4 - 2/17*k**2 + 10/51*k**3 + 98/85*k**5. Determine n so that q(n) = 0.
-1, -2/7, 0, 1/7
Let r(u) = 2*u**2 + 5*u + 7. Let p(k) = k**2 + 4*k + 6. Let a(o) = 2*o - 3. Let m be (2 + -1 + 4)*1. Let x be a(m). Let c(t) = x*p(t) - 6*r(t). Factor c(y).
-y*(5*y + 2)
Let w(s) be the third derivative of s**7/1995 + s**6/190 + 3*s**5/190 - s**4/57 - 4*s**3/19 + 3*s**2 + 14*s. Find o, given that w(o) = 0.
-3, -2, 1
Suppose 5*h - 159 = 176. Solve -230*u**3 + 35*u**4 - 40*u**5 + h + 45*u**2 + 68 - 215*u**4 + 270*u = 0.
-3/2, -1, 1
Suppose -5*l - 2*f - 2*f = -6, 4*l + 4*f = 4. Let r be 2 + l + 90/(-24). Factor -1 + r*n**2 + 0*n.
(n - 2)*(n + 2)/4
Suppose -4*w + 3*w + y = 3, -4*w + y - 27 = 0. Let x(v) = -9*v + 2. Let b be x(w). Factor -2*k**2 - b + 3*k**2 + 75 + 2*k.
(k + 1)**2
Let q(f) be the second derivative of -f**7/42 + 4*f**6/15 - f**5 + 4*f**4/3 - 102*f. Factor q(b).
-b**2*(b - 4)*(b - 2)**2
Let g be (0 - 1)/((-21)/14 + 1). Factor q**2 + 12*q + 16*q**4 + 32*q**3 - 3*q**g - 8*q + 22*q**2.
4*q*(q + 1)*(2*q + 1)**2
Let z(c) be the third derivative of c**6/40 - 47*c**5/20 + 475*c**4/8 + 1875*c**3/2 + 63*c**2 + 6. Suppose z(l) = 0. What is l?
-3, 25
Let a be 5 + 4*2*39/(-104). What is b in -8/3*b + 2/3 - 1/6*b**5 + 7/6*b**4 - 19/6*b**3 + 25/6*b**a = 0?
1, 2
Let v = -50 + 53. Factor v*w**4 - 7*w - 8*w**4 + 10*w**3 + 0*w + 5 - 3*w.
-5*(w - 1)**3*(w + 1)
Factor 498*i**2 + 17*i - 12 - i**4 - 250*i**2 - 247*i**2 - 5*i**3.
-(i - 1)**2*(i + 3)*(i + 4)
Let f be (-14)/3*(-137)/1918. Factor 0 + f*a**2 + 0*a + 1/3*a**3.
a**2*(a + 1)/3
Let n = -6 - -4. Let j be 1/(n*1/(-4)). Suppose u**3 + 0*u**3 + 4*u**j + 5*u**3 - u**5 - u**5 = 0. What is u?
-1, 0, 2
Let i(j) be the second derivative of 11*j**7/28 - 3*j**6/80 - 3*j**5/80 - j - 10. Factor i(k).
3*k**3*(4*k - 1)*(11*k + 2)/8
Let n(x) be the third derivative of -x**5/20 + 27*x**4/8 - 13*x**3 + 78*x**2. Factor n(y).
-3*(y - 26)*(y - 1)
Let c(m) be the third derivative of m**6/840 - 3*m**5/140 - 100*m**2. Find q, given that c(q) = 0.
0, 9
Let c(z) = -z - 2. Let j be c(0). Let q be ((-9)/(-6))/((-3)/j). Let b(n) = 5*n**3 - 7*n**2 + 3*n + 1. Let w(k) = k**2. Let a(l) = q*b(l) - 2*w(l). Factor a(x).
(x - 1)**2*(5*x + 1)
Let r(q) be the second derivative of -22*q - 1/15*q**6 - 3*q**4 + 0 - 8*q**2 - 20/3*q**3 - 7/10*q**5. Solve r(z) = 0 for z.
-2, -1
Suppose 0 = 2*g + 2*q, -2*q - 40 = -3*g - 25. Let x(y) be the first derivative of 0*y**3 - 3/4*y**4 + 0*y - 3/5*y**5 - g + 0*y**2. Factor x(k).
-3*k**3*(k + 1)
Let s(z) be the third derivative of -z**5/150 - 7*z**4/4 + 6*z**2 - 5*z. Find j such that s(j) = 0.
-105, 0
Let v(k) = k**2 - k + 1. Let t be 12*5/(-10)*-1. Let j(u) = 4*u**2 - u. Let c(q) = t*v(q) - 2*j(q). Factor c(o).
-2*(o - 1)*(o + 3)
Let x be -1*(-1)/(4/(-36)). Let n = -7 - x. Suppose -4*r**4 - 11*r**3 + 2*r**2 - r**n - 2*r**3 + 3 - r + 14*r = 0. Calculate r.
-3, -1, -1/4, 1
Solve -4*t**3 + 0*t + 0*t**2 + 2/3*t**5 + 0 + 10/3*t**4 = 0.
-6, 0, 1
Let j(g) = 21*g**2 + 1023*g + 678. Let f(t) = -2*t**2. Let y(i) = 6*f(i) + j(i). Determine o so that y(o) = 0.
-113, -2/3
Let t(l) be the first derivative of -3*l**5/10 + 57*l**4/8 - 17*l**3 + 397. Let t(y) = 0. What is y?
0, 2, 17
Let o(n) be the second derivative of 0*n**2 - n**3 + 3/4*n**5 + 0 - 3/4*n**4 + 3*n. Factor o(t).
3*t*(t - 1)*(5*t + 2)
Let d = -505 - -2005/4. Let z = 4 + d. Solve 0*f**3 + 1/2*f**4 + 0 - 1/2*f**2 - z*f + 1/4*f**5 = 0.
-1, 0, 1
Let f(v) = -9*v - 3. Let a(k) = -5*k - 1. Let u(l) = -5*a(l) + 3*f(l). Let z be u(-3). Suppose 5*t**2 + 8*t**3 + 5*t**4 - t**2 + 0*t**z - t**4 = 0. What is t?
-1, 0
Let a(w) be the second derivative of -8*w**2 - 24*w + 1/3*w**4 + 1/10*w**5 - 4/3*w**3 + 0. Solve a(j) = 0.
-2, 2
Suppose w - 5 = -2. Factor -6 + w*t**2 + 0 + 6 - 9*t.
3*t*(t - 3)
Suppose 0 = 73*z - 68*z - 30. Suppose -2*o + z = -0*o. Determine i so that 1/2*i**4 + 0*i + 0 - i**2 + 1/2*i**o = 0.
-2, 0, 1
Let w(c) = -c**2 + 6*c - 9. Let d be w(3). Let -t**5 - 4/3*t**4 + 0*t - 4/9*t**3 + d + 0*t**2 = 0. What is t?
-2/3, 0
Let t(z) be the first derivative of -z**3/6 - z**2 + 152. Let t(k) = 0. What is k?
-4, 0
Suppose 2*t - 2*a - 42 = 0, 2 = 2*a + 12. Let j be 16/(-45) + t/20. Factor j*p**2 + 2/3*p**3 + 0 + 0*p.
2*p**2*(3*p + 2)/9
Let p(n) = n**3 - 7*n**2 + 5*n + 12. Let v be p(6). Let -v + 4*d + 0*d + 22 - 2*d**2 = 0. Calculate d.
-2, 4
Suppose 3*i - 10 - 11 = 0. Factor 15*j**4 + i*j - 2*j - 15*j**2 + 0*j - 5*j**3.
5*j*(j - 1)*(j + 1)*(3*j - 1)
Let d(h) be the first derivative of 2*h**3/15 - 29*h**2/5 - 179. Suppose d(s) = 0. What is s?
0, 29
Suppose 4*h - 8*h = -24. Let n be 4/h + (-26)/(-42). Determine y so that 12/7 + 12/7*y - 12/7*y**3 - n*y**2 - 3/7*y**4 = 0.
-2, -1, 1
Let k be -3 + 17 + -7 - (-3 + -3)/(-3). Find m, given that 92/5*m**4 - 28/5*m**k - 112/5*m**2 - 24/5*m**3 + 0 + 32/5*m = 0.
-1, 0, 2/7, 2
Factor -5*u - 6 + 8 - u**3 - 6*u**2 + 10*u**2.
-(u - 2)*(u - 1)**2
Suppose 2*o - 15 = -2*o + v, -3*o + 8 = -4*v. Let c(t) be the first derivative of -10*t + 10/3*t**3 + 6 + 5/2*t**2 - 5/4*t**o. Factor c(w).
-5*(w - 2)*(w - 1)*(w + 1)
Let 0 - 6/11*x**3 + 0*x - 2/11*x**5 - 2/11*x**2 - 6/11*x**4 = 0. What is x?
-1, 0
Let a(u) be the first derivative of u**4/24 - u**3/6 + u**2/4 - u/6 - 