g(t) be the first derivative of 2*t**4/5 - 2*t**3/15 - 4*t**2/5 + 2*t/5 - 70. Let g(w) = 0. What is w?
-1, 1/4, 1
Let r(a) be the first derivative of -4*a**5/5 - 19*a**4/6 - 14*a**3/3 - 3*a**2 - 2*a/3 - 12. Find v such that r(v) = 0.
-1, -1/6
Let g(n) be the third derivative of n**6/300 + n**5/75 - n**4/15 - 8*n**3/15 - n**2 - 12. Factor g(t).
2*(t - 2)*(t + 2)**2/5
Suppose h + 3*h = 32. Let z be (h/(-12))/(2/(-9)). Factor 33*j + 12 + 39*j**2 + 15*j + z*j**3 + 6*j**3.
3*(j + 2)**2*(3*j + 1)
Suppose -2*h = -7 - 1. Suppose -3*j = 4*s - 3, 2*j + 0 = h*s - 18. Suppose b**2 + 20*b**3 + 4*b**2 + s*b**2 = 0. What is b?
-2/5, 0
Let p(x) = x**2 - 183*x + 7444. Let m be p(122). Suppose 0 - 17/4*g**m - 1/4*g**4 + 2*g + 5/2*g**3 = 0. Calculate g.
0, 1, 8
Let o be (-5)/(-3)*((-840)/50)/(-7). Determine p so that 1/4*p**5 + 2 + 7/2*p**2 - p**o - 5*p + 1/4*p**3 = 0.
-2, 1, 2
Let w(r) be the third derivative of r**6/540 + 17*r**5/270 - 19*r**4/54 - 20*r**2. Factor w(l).
2*l*(l - 2)*(l + 19)/9
Let x be (-8)/14 - 450/(-126). Find o such that -2*o**2 - o**5 + 3*o**4 + 0*o**4 - 3*o**x + 3*o**2 = 0.
0, 1
Let p be 1*(5 + (-8)/4). Suppose -50*w - 140 = -85*w. Find v, given that 8/3 - 8/3*v - 22/3*v**2 + w*v**p + 6*v**4 = 0.
-1, 2/3
Let g(z) be the second derivative of 5*z**7/42 + 59*z**6/3 + 1198*z**5 + 90820*z**4/3 + 592040*z**3/3 + 548720*z**2 + 395*z. Factor g(t).
5*(t + 2)**2*(t + 38)**3
Factor -1164*q**2 - 15552 - 9504*q + 88*q**3 - 4/3*q**4.
-4*(q - 36)**2*(q + 3)**2/3
Let i(n) be the first derivative of -n**7/63 + n**6/45 + 7*n - 6. Let r(j) be the first derivative of i(j). Factor r(o).
-2*o**4*(o - 1)/3
Let w(t) = 14*t + 3. Let p be w(-2). Let y be (20/p)/((-3)/45). Factor -6*i**5 + 3*i**5 - 6 + 0*i**3 + y*i**3 - 9*i + 6*i**2.
-3*(i - 2)*(i - 1)*(i + 1)**3
Let t be -1*(-1 + (-2)/(-3)). Let m = 2/13095 - -4363/13095. Solve -m*z - t + 2/3*z**2 = 0 for z.
-1/2, 1
Let t = -2753 - -2763. Let g(q) be the first derivative of -5/3*q**3 + 2 - 20*q - t*q**2. Find l, given that g(l) = 0.
-2
Let z(v) = v**3 + 4*v**2 - 3*v + 4. Let y be z(-5). Let b be 2/y + 3 + 3 + -5. Factor 0*h**3 - h**5 - b*h**4 + 0 + 0*h + 0*h**2.
-h**4*(3*h + 2)/3
Let x(t) = t - 1. Let h be x(7). Suppose h*j = 5*j. Factor -n**4 + 4*n**3 - 3*n**3 + j*n**4.
-n**3*(n - 1)
Let k(w) be the first derivative of w**7/840 - w**5/240 - 2*w**2 - 14. Let s(f) be the second derivative of k(f). Solve s(v) = 0.
-1, 0, 1
Let p(y) be the first derivative of 0*y**3 - 2/15*y**5 - 1/6*y**4 - 15 + 0*y + 0*y**2. Let p(m) = 0. Calculate m.
-1, 0
Let w = 17 - 27. Let l be 12/w*(-10)/4. Suppose 5*f**3 + l*f**4 + 6*f**2 - 5*f**3 - 9*f**2 = 0. Calculate f.
-1, 0, 1
Let t(n) be the second derivative of 5/2*n**2 + 5/12*n**4 - 5/3*n**3 + 0 - 32*n. Factor t(r).
5*(r - 1)**2
Let x(u) be the third derivative of u**5/60 - 5*u**4/24 + u**3 + 83*u**2. Suppose x(w) = 0. Calculate w.
2, 3
Suppose 4*z = -z + 15. Let m be (1 + z)/(-1 - -3). Factor 1 + 19*l**3 + 15*l**3 - 2*l - 37*l**3 + l - 5*l**m.
-(l + 1)**2*(3*l - 1)
Let c = 32 - -5. Factor -w + 34*w**2 - 7*w - c*w**2 + 2*w.
-3*w*(w + 2)
Find m, given that -7/5*m**4 + 0 + 0*m**2 + 1/5*m**5 + 0*m + 12/5*m**3 = 0.
0, 3, 4
Let k be ((-1)/1)/(-1*(-2 + (-75)/(-30))). Determine f, given that 0*f + 8/5*f**k + 0 + 16/5*f**3 + 2*f**4 + 2/5*f**5 = 0.
-2, -1, 0
Let u(q) = 1. Let s(c) = c**3 + 16*c**2 - c - 7. Let b be s(-16). Let p(m) = b + 10*m**2 + 2*m**3 + 19*m + 0*m - 5*m. Let g(o) = -p(o) + 3*u(o). Factor g(j).
-2*(j + 1)**2*(j + 3)
Let o be (133/1064)/(2/8*10). Let d(g) be the third derivative of -1/160*g**6 + 0*g**3 + 0 + 0*g + 1/280*g**7 - o*g**5 - 6*g**2 + 1/8*g**4. Factor d(b).
3*b*(b - 2)*(b - 1)*(b + 2)/4
Let l = 9 - 4. Suppose 0 = -5*g + 50 - l. Determine y, given that -13*y**4 - 2*y**3 - 7*y**2 + g*y**5 - 8*y**4 + 17*y**3 + 4*y**2 = 0.
0, 1/3, 1
Suppose 0 = 3*v + 5*f - 11, 3*f = 2*v - 305 + 304. Solve -243/2 - 3/2*b**v - 27*b = 0.
-9
Let q(y) = 7*y**3 + 5*y**2 - 10*y. Suppose 2*n - 4*n = 80. Let t(z) = z**3 + z**2 - z. Let g(h) = n*t(h) + 5*q(h). Factor g(l).
-5*l*(l + 1)*(l + 2)
Let z(g) be the third derivative of g**6/480 - 13*g**5/480 - 7*g**4/192 - 85*g**2 + g. Factor z(o).
o*(o - 7)*(2*o + 1)/8
What is g in 8/3 + 5/6*g**2 - 11/3*g + 1/6*g**3 = 0?
-8, 1, 2
Let t(g) = -g**2 - 16*g - 12. Let x(j) = j - 4. Let h be x(-11). Let b be t(h). Determine c, given that -4*c**3 + 6*c**b + 2*c**2 - c - 2*c**3 - 2 + c**3 = 0.
-2, -1, 1
Let l = -2/51 - -161/204. Let i = 65 + -129/2. Let -1/4*g**3 + l*g + i + 0*g**2 = 0. Calculate g.
-1, 2
Let q(p) = p**3 + 2*p**2 + 3*p - 4. Let h be q(1). Let r be h - (15/12)/((-2)/(-3)). Find a such that 1/8*a**2 - r*a**5 + 0 + 1/8*a**3 + 0*a - 1/8*a**4 = 0.
-1, 0, 1
Let j(w) be the first derivative of -w**6/80 - w**5/40 + w**4/16 + w**3/4 - 19*w**2/2 + 25. Let d(u) be the second derivative of j(u). Factor d(v).
-3*(v - 1)*(v + 1)**2/2
Let p(n) = -n + 5. Let j be p(0). Let u be 4/(-8)*0 + j. Solve 63/2*c**3 - 33/2*c**2 + 15/2*c**u + 0 + 3*c - 51/2*c**4 = 0.
0, 2/5, 1
Let n(j) = 2*j**2 + 4*j - 5. Let r be ((-5)/(-2))/((-6)/(-12))*1. Let c(y) = 9*y**2 + 21*y - 24. Let f(a) = r*c(a) - 24*n(a). Factor f(w).
-3*w*(w - 3)
Let n(v) be the third derivative of -v**8/672 - 2*v**7/105 - 7*v**6/240 - 3*v**2. Determine s, given that n(s) = 0.
-7, -1, 0
Let c(u) = u**4 + u**3 - u**2 - u + 1. Let g(p) = -11*p**3 + 34*p**2 - 43*p + 19. Let m(f) = -c(f) - g(f). Find s, given that m(s) = 0.
1, 2, 5
Let r(a) be the first derivative of -a**3/7 - 96*a**2/7 - 3072*a/7 + 27. Determine i, given that r(i) = 0.
-32
Let n be 5 + 1030/(-80) - -8. Factor 1/4 + 3/8*k**3 - 1/8*k**4 - n*k**2 - 3/8*k.
-(k - 2)*(k - 1)**2*(k + 1)/8
Let z(o) be the third derivative of o**5/40 + 11*o**4/4 + 121*o**3 + 13*o**2 + o. Factor z(d).
3*(d + 22)**2/2
Let o(j) = -87*j**2 + 114*j - 420. Let f(w) = -13*w**2 + 16*w - 60. Let r(y) = 27*f(y) - 4*o(y). Factor r(k).
-3*(k - 2)*(k + 10)
Factor -234/7*b + 58/7 + 8/7*b**2.
2*(b - 29)*(4*b - 1)/7
Let o(q) = q**2 - q - 7. Let c be o(-3). Let f(t) be the third derivative of 4*t**2 + 0 + 0*t**c + 0*t**3 + 1/80*t**6 + 0*t + 1/140*t**7 + 0*t**4. Factor f(y).
3*y**3*(y + 1)/2
Suppose t + 17 - 35 = 0. Solve -31*f**3 - 11*f**5 - 13*f**4 + 8*f**5 + 3*f**2 - 6*f**4 + t*f = 0 for f.
-3, -1, 0, 2/3
Let v(k) = k**3 + 2*k**2 - 2*k + 24. Let d be v(-4). Factor d*y + 3/8*y**5 + 9/8*y**3 - 9/8*y**4 + 0 - 3/8*y**2.
3*y**2*(y - 1)**3/8
Let 3*m - 3/8*m**4 + 0 - 3/4*m**3 + 3/2*m**2 = 0. What is m?
-2, 0, 2
Let n(h) be the first derivative of -3*h**5/35 + 3*h**4/7 - 5*h**3/7 + 3*h**2/7 - 47. Let n(m) = 0. What is m?
0, 1, 2
Let h(g) be the first derivative of -g**6/11 - 4*g**5/55 + g**4/22 - 119. Solve h(d) = 0 for d.
-1, 0, 1/3
Determine b so that -2/3*b + 2/3*b**3 + 32/3*b**2 - 32/3 = 0.
-16, -1, 1
Factor -15*z**2 - 1/3*z**4 + 52/3*z - 20/3 + 14/3*z**3.
-(z - 10)*(z - 2)*(z - 1)**2/3
Let u(d) = -6*d**2 - 11*d. Suppose -o + 19 = 2*y, 4*y - o - 2*o = 23. Let m(x) = -9*x**2 - 17*x. Let z(i) = y*u(i) - 5*m(i). Factor z(g).
-3*g*(g + 1)
Let z be 27*1 + -6 + 8. Let a = z + -25. Suppose 0*j**3 + 0*j + 0 + 1/2*j**a + 0*j**2 = 0. What is j?
0
Find f such that 125/11*f - 1/11*f**4 - 75/11*f**2 + 0 + 15/11*f**3 = 0.
0, 5
Suppose -2*u - 2*u = -16. Factor -u*w**3 - 24 + w**4 - 7*w**3 - w**3 + 3*w**4 - 60*w**2 - 68*w.
4*(w - 6)*(w + 1)**3
Let r(i) be the third derivative of i**7/2520 - i**5/120 - i**4/36 - 2*i**3 - 15*i**2. Let x(d) be the first derivative of r(d). Factor x(t).
(t - 2)*(t + 1)**2/3
Let c be (16/4)/(205/82). Factor -c - 2*p - 2/5*p**2.
-2*(p + 1)*(p + 4)/5
Let d be (0 - (-3)/1) + -1. Factor -3*s**3 - 4*s**3 - 2*s**2 + d + 6*s**3 + s + 0*s.
-(s - 1)*(s + 1)*(s + 2)
Let m = 5782 - 40450/7. Factor 2/7*t**4 - m*t**3 + 0*t + 0 + 72/7*t**2.
2*t**2*(t - 6)**2/7
Let c = -87 - -89. Suppose 169*m**c + 5*m + 15*m - 167*m**2 = 0. What is m?
-10, 0
Let i(a) be the second derivative of a**5/80 - a**4/4 + 7*a**3/8 - 5*a**2/4 + 254*a - 1. Let i(l) = 0. What is l?
1, 10
Suppose 0 = y - 4*g + 2*g - 11, -g + 8 = 4*y. Factor 0 + 4/5*h**y - 2/5*h**2 - 2/5*h**4 + 0*h.
-2*h**2*(h - 1)**2/5
Suppose -16/3*f**2 + 2/3*f**3 + 5/3*f**4 + 0*f + 0 = 0. What is f?
-2, 0, 8/5
Suppose -4*s + 2*s = -j - 91, -61 = -2*s - 5*j. Let i = s + -125/3. Let -i + 2*x - 2/3*x**3 + 0*x**2 = 0. What is x?
-2, 1
Let d(o) be 