0 - 3/7*g + 3/7*g**3 + 0*g**2 = 0.
-1, 0, 1
Let i(b) be the second derivative of -b**6/900 + 7*b**5/300 - 17*b**3/3 - 3*b. Let c(l) be the second derivative of i(l). Factor c(w).
-2*w*(w - 7)/5
Let j(s) = s**2 + 43*s + 122. Let t be j(-40). What is m in -4/3*m - t - 2/9*m**2 = 0?
-3
Let i(o) be the third derivative of -o**7/1400 - o**6/600 + o**5/100 - 14*o**3/3 + 32*o**2. Let k(y) be the first derivative of i(y). Solve k(v) = 0.
-2, 0, 1
Let g(d) be the first derivative of d**7/2240 + d**6/960 - d**5/320 - d**4/64 + 11*d**3/3 + 4. Let m(k) be the third derivative of g(k). Factor m(t).
3*(t - 1)*(t + 1)**2/8
Let p = 6 + -1. Suppose 3*b - 32 = -3*w - w, p*w = -b + 40. Solve 3*f - w*f**2 + 4*f - 5*f = 0.
0, 1/4
Let l(a) be the third derivative of a**5/720 + 7*a**4/288 + a**3/12 + a**2. Find y such that l(y) = 0.
-6, -1
Let u(l) = -l**2 - 21*l - 33. Let k = 27 + -18. Let q(p) = 22*p + 3*p**2 - k*p + 30*p + 67. Let a(z) = 3*q(z) + 5*u(z). Find o such that a(o) = 0.
-3
Let f(h) be the second derivative of h**7/168 + h**6/6 + 3*h**5/2 - h**3/2 - 3*h**2 - 4*h - 3. Let i(b) be the second derivative of f(b). Factor i(q).
5*q*(q + 6)**2
Suppose -7*k + 17*k - 30 = 0. Factor -4*a + 7*a**k + 7*a + 3*a - 14*a**2 - a**4 + 2*a.
-a*(a - 4)*(a - 2)*(a - 1)
Let p(v) be the third derivative of v**5/60 + v**4/12 - 5*v**3/6 - 36*v**2. Let q be p(2). Factor 0 - 2*l**4 - 3/2*l**q - l + 9/2*l**2.
-l*(l - 1)*(l + 2)*(4*l - 1)/2
Let i(r) be the third derivative of r**7/42 - 7*r**6/12 + 3*r**5 - 85*r**4/12 + 55*r**3/6 + 817*r**2. Factor i(l).
5*(l - 11)*(l - 1)**3
Let f = -4/1217 - -14632/8519. Find d, given that 9/7 - f*d + 3/7*d**2 = 0.
1, 3
Suppose -480 = 3*x - 7*x + 4*w, -2*x + 252 = -5*w. Let a = x - 113. Solve 0*b**2 + 2/9*b**5 - 2/9*b**4 - 4/9*b**a + 0*b + 0 = 0 for b.
-1, 0, 2
Let -117708*a + 3*a**3 + 117709*a - 4*a**3 = 0. What is a?
-1, 0, 1
Let c(z) = z**3 - 16*z**2 + 51*z - 33. Let b be c(12). Factor 3/4*l**2 + b - 3*l.
3*(l - 2)**2/4
Let f(y) = y**3 - 10*y**2 - 2*y + 20. Let t = -25 - -35. Let u be f(t). Factor -1/2*a**2 + 0*a**3 - 1/4*a**5 + u + 1/4*a + 1/2*a**4.
-a*(a - 1)**3*(a + 1)/4
Suppose 0 = -33*u + 36*u - 147. Suppose -u + 28 = -7*k. Factor -5/3*p + 5*p**2 - 5 + 5/3*p**k.
5*(p - 1)*(p + 1)*(p + 3)/3
Find u such that -80/19 - 2/19*u**3 + 72/19*u - 12/19*u**2 = 0.
-10, 2
Let g(t) = t - 4. Let s be g(6). Solve -1 - 1 + 2 - 21*b - 3*b**3 + 9 + 15*b**s = 0 for b.
1, 3
Suppose 0 = 2*m - 0*m - 6. Factor -12 - 7*g**2 - 66*g + m*g**2 + 82*g.
-4*(g - 3)*(g - 1)
Suppose -5*v + 36 = -3*a - a, 0 = -3*v + 3*a + 21. Let g be (-8 + 2)/((-5)/v). Find w, given that 3*w + 27/5*w**3 + g*w**2 - 6/5 = 0.
-1, 2/9
Let n(j) = -j**3 + 23*j**2 + 3*j - 56. Let w be n(23). Let s be 1 - -6 - ((w - 2) + -7). Find y such that -75/4*y**s - 3 - 18*y - 135/4*y**2 = 0.
-1, -2/5
Factor 0*m**2 - 24*m - 557 + 584 + 0*m**2 - 2*m**2 - m**2.
-3*(m - 1)*(m + 9)
Let m(q) be the first derivative of 3*q**5/40 - 3*q**4/16 + 3*q**2/8 - 3*q/8 - 31. Let m(f) = 0. What is f?
-1, 1
Let r(v) be the first derivative of -3*v**2 + v**5 + 20*v - 5*v**3 + 5*v**4 - 7 - 5*v**5 - 7*v**2 + 3*v**5. Solve r(n) = 0.
-1, 1, 2
Let k(v) be the third derivative of -v**6/6 - 13*v**5/12 - 55*v**4/24 - 5*v**3/3 - 118*v**2. Factor k(q).
-5*(q + 1)*(q + 2)*(4*q + 1)
Factor 57*i**4 - 5*i**3 + 5*i**5 - 145*i**4 + 51*i**4 + 52*i**4 - 15*i**2.
5*i**2*(i - 1)*(i + 1)*(i + 3)
Let b(r) be the first derivative of -3*r**5/80 - 3*r**4/16 + 3*r**2/2 + 5*r + 10. Let q(t) be the first derivative of b(t). Let q(n) = 0. Calculate n.
-2, 1
Let z(r) be the third derivative of -r**7/1575 + r**6/300 + r**5/75 - 7*r**4/45 + 8*r**3/15 + 590*r**2. Factor z(h).
-2*(h - 2)**3*(h + 3)/15
Let j(l) be the second derivative of -l**4/24 - 19*l**3/6 - 18*l**2 + 4*l - 10. Find p such that j(p) = 0.
-36, -2
Let r(m) be the third derivative of -1/70*m**5 + 0*m + 0*m**3 + 0 - 1/420*m**6 - 1/42*m**4 - 27*m**2. Factor r(k).
-2*k*(k + 1)*(k + 2)/7
Suppose -597 = -3*n - 2*x, 0*n + n + 5*x = 212. Let h = n + -195. Factor 0 + 0*d + 4/7*d**3 + 1/7*d**h.
d**2*(4*d + 1)/7
Let t be 9/21*(-1315)/(-45). Let c = t - 69/7. Factor 2 - c*w + 2/3*w**2.
2*(w - 3)*(w - 1)/3
Suppose a + 5 = 3*v, 2*v - 4*a - 7 = -17. Let 144*t**2 - 15*t**4 - 12*t + 69*t - 48 + v*t + 21*t**3 = 0. Calculate t.
-2, -1, 2/5, 4
Let c(g) = g**3 - 6*g**2 - g + 11. Let q be c(6). Suppose 0*o - 8*o + 4*o**5 - 20*o**2 + 41*o**q - o**5 - 124*o**4 + 108*o**3 = 0. What is o?
-2/11, 0, 1
Let g be 33/(-18) - (-60)/24. Find d such that 0*d**2 - 2/3*d**4 + g - 4/3*d**3 + 4/3*d = 0.
-1, 1
Let h(w) be the first derivative of -w**6/180 + w**5/20 + w**4/3 + 16*w**3/3 - 21. Let g(i) be the third derivative of h(i). Suppose g(l) = 0. What is l?
-1, 4
Suppose 0 = 5*z - 16 - 84. Factor 54*n - n**5 + z*n**4 - 9*n**4 + 10*n + 16*n**2 - 36*n**3.
-n*(n - 4)**3*(n + 1)
Let d = 3/1235 + 67349/237120. Let q = 3/64 + d. Solve 0 + 0*y**4 + 0*y - 1/3*y**3 + q*y**5 + 0*y**2 = 0.
-1, 0, 1
Factor 58 - 171*z - 72 + 153*z + 3*z**2 - 67.
3*(z - 9)*(z + 3)
Suppose 3 = -h + 1. Let w(d) = -d**3 + 2*d. Let j be w(h). Find p, given that -2*p**4 + 2*p + 2*p**4 - 2*p**3 + 5*p**j - 2*p**2 - 3*p**4 = 0.
-1, 0, 1
Let n be (-1)/(-4) + 31/4 - -1. Solve 10 + 60*k + 3*k**4 + 54*k**2 + 21*k**3 + 2 + 3 + n = 0.
-2, -1
Suppose -3784/3*h - 968/3 + 344/3*h**3 - 1174*h**2 - 8/3*h**4 = 0. What is h?
-1/2, 22
Suppose 32 = t + 29. Let k be 2/(-2 - (-48)/22). Factor -3*c**3 - 2*c**2 + k*c**t - 2 + 4*c**2 - 8*c.
2*(c - 1)*(c + 1)*(4*c + 1)
Suppose 3*k + 7*q - 4*q - 450 = 0, 4*q = -20. Suppose 113*v**2 + 151*v**3 - 1200*v + 7*v**2 + 4000 - k*v**3 = 0. Calculate v.
10
Let k be 178/216 + 86/(-1161). Factor -3/2*p**4 + 3/4*p - k*p**5 + 0 + 3/2*p**2 + 0*p**3.
-3*p*(p - 1)*(p + 1)**3/4
Let p = 143 + -141. Solve 1/2*u**p - 5/2 - 2*u = 0 for u.
-1, 5
Let h(t) be the third derivative of t**6/60 + t**5/20 - t**4/6 + t**3/2 - t**2 + 41*t. Let f be h(1). Factor 36/5*c**3 + 0 + 0*c + 12/5*c**2 + 27/5*c**f.
3*c**2*(3*c + 2)**2/5
Let s(t) be the first derivative of 0*t**2 + 1/5*t - 1/15*t**3 + 4. Factor s(c).
-(c - 1)*(c + 1)/5
Find g, given that 16/9*g**2 + 4/9*g - 4/9*g**3 - 16/9*g**4 + 0 = 0.
-1, -1/4, 0, 1
Let y(h) be the third derivative of h**6/360 - h**5/10 - 13*h**4/24 - 10*h**3/9 + 10*h**2 + 1. Factor y(v).
(v - 20)*(v + 1)**2/3
Factor -59*a - 185*a**2 - 18*a**2 + 3*a**2 + 79*a - 16*a.
-4*a*(50*a - 1)
Suppose 5618 + 300*j - 88*j + 3*j**2 - j**2 - 2*j**2 + 2*j**2 = 0. Calculate j.
-53
Let q(h) be the first derivative of -h**4 + 4*h**3 + 8*h**2 - 48*h + 63. Determine s so that q(s) = 0.
-2, 2, 3
Let r(x) be the first derivative of -x**4/30 - 4*x**3/9 - 5*x**2/3 - 240. Factor r(i).
-2*i*(i + 5)**2/15
Let q be (-18)/(-4)*8/12. Let u(p) = -p**2 - 1. Let s(k) = -8*k**2 + k - 5. Let r(y) = q*s(y) - 21*u(y). Factor r(a).
-3*(a - 2)*(a + 1)
Let o(c) be the second derivative of -c**5/70 - 5*c**4/6 + 181*c. Factor o(j).
-2*j**2*(j + 35)/7
Find q such that 9*q**5 - 15 + 24*q + 69*q**4 - 1 + 183*q**2 - 16 + 183*q**3 - 4 = 0.
-3, -2, -1, 1/3
Let h(b) be the first derivative of -b**3/12 - 61*b**2/4 + 123*b/4 + 128. Factor h(f).
-(f - 1)*(f + 123)/4
Let c(h) be the first derivative of -81/8*h**2 - 3/16*h**4 - 41 + 9/4*h**3 + 81/4*h. Factor c(m).
-3*(m - 3)**3/4
Let r(l) = -l**3 + 7*l**2 - 6*l + 1. Let x be r(6). Suppose -j - x = -3. Factor 4*k**2 + 2*k**2 - 9*k**3 + 0*k**j.
-3*k**2*(3*k - 2)
Let a(l) be the third derivative of -1/18*l**5 + 1/6*l**4 + 1/180*l**6 + 0*l**3 - 28*l**2 + 0*l + 0. Let a(m) = 0. What is m?
0, 2, 3
Let j be ((-70)/(-28))/(1/2). Factor -j*t + 34*t + 72 - 180 + 7*t - 3*t**2.
-3*(t - 6)**2
Determine w so that 115*w**2 - 4 - 5 - 114*w**2 = 0.
-3, 3
Determine l, given that 54*l - 18 - 6*l**3 - 77/2*l**2 + 9/2*l**4 = 0.
-3, 2/3, 3
Let p(a) be the second derivative of a**8/448 - 3*a**7/280 - a**6/120 - a**4/2 + 8*a. Let o(k) be the third derivative of p(k). Factor o(z).
3*z*(z - 2)*(5*z + 1)
Suppose -12*r + 13*r + 1 = 0. Let w(j) = -j**2 + 1. Let z(b) = -9*b**2 - 21*b - 12. Let g(c) = r*z(c) - 3*w(c). Factor g(k).
3*(k + 1)*(4*k + 3)
Factor -66/7*k**2 - 27/7*k**3 + 0 - 24/7*k.
-3*k*(k + 2)*(9*k + 4)/7
What is v in 1174*v**4 - 15*v**3 - 208*v - 170 - 22 - 1175*v**4 - 84*v**2 = 0?
-4, -3
Let o be 7/4 + 6/24. Find b, given that -2*b + 2*b**4 + 4*b**o + 6*b**4