*a**2 - 40/3*a**3 = 0. Calculate a.
-3, -1/4, 1
Let b(h) be the third derivative of h**7/630 - 7*h**6/180 + 2*h**5/9 + 7*h**4/4 - 49*h**3/2 - 405*h**2. Find a such that b(a) = 0.
-3, 3, 7
What is d in d**4 + 15*d - 18*d**2 + 26*d**4 + 3*d**4 - 12*d**4 - 12*d**3 - 3*d**5 = 0?
-1, 0, 1, 5
Let w(h) be the first derivative of 13 + 1/12*h**3 + 1/8*h**2 - 1/2*h. Factor w(z).
(z - 1)*(z + 2)/4
Let b(u) be the first derivative of -2*u**5/45 + 11*u**4/6 + 47. Factor b(w).
-2*w**3*(w - 33)/9
Let y(r) be the third derivative of r**6/240 - r**5/24 - 23*r**2 - 17*r. Factor y(m).
m**2*(m - 5)/2
Let r = 3125 + -3121. Let -2/15 - 14/15*m**r + 16/15*m**2 - 8/15*m**5 + 4/15*m + 4/15*m**3 = 0. What is m?
-1, 1/4, 1
Let o(p) be the third derivative of -p**6/60 + p**5/30 + 5*p**4/6 + 8*p**3/3 + 263*p**2. Factor o(i).
-2*(i - 4)*(i + 1)*(i + 2)
Let c(i) be the third derivative of i**8/84 - 2*i**7/105 - 7*i**6/30 + i**5/15 + i**4 + 3*i**2 + 182*i. Suppose c(y) = 0. Calculate y.
-2, -1, 0, 1, 3
Let o be 12/(-84) - (-9)/21. Let g(h) be the first derivative of -2/7*h + 1/14*h**4 + 3/7*h**2 - o*h**3 - 9. Factor g(p).
2*(p - 1)**3/7
Suppose -t + 3*q = -8, 4*q = -5*t - 0 + 2. Factor 4*x**3 + 8*x**3 - 25*x**2 - 8 + 29*x**t + 4*x**4 - 12*x.
4*(x - 1)*(x + 1)**2*(x + 2)
Let d(k) be the second derivative of -49*k**6/30 - 7*k**5/5 - k**4/3 - k + 60. What is j in d(j) = 0?
-2/7, 0
Let t(h) be the third derivative of h**6/120 + h**5/60 + 2*h**2 + 6*h. Let b(q) = -2*q**3 - 6*q**2. Let a(d) = b(d) + 4*t(d). Factor a(r).
2*r**2*(r - 1)
Let a(s) = 9*s + 186. Let d be a(-20). Let c(g) be the first derivative of 0*g + 3/2*g**2 + g**3 + d. Factor c(n).
3*n*(n + 1)
Let z be (10*48/(-140))/(3/((-42)/20)). Find r such that -3/5*r**3 + z*r**2 - 3/5*r**4 + 12/5*r + 0 = 0.
-2, -1, 0, 2
Let u(z) be the third derivative of z**6/120 - z**5/5 + 5*z**4/6 + 128*z**2 - 1. Suppose u(a) = 0. What is a?
0, 2, 10
Let w(p) = p + 3. Let r be w(2). Let 12*k**2 + k - 24*k**5 - 4*k + 33*k**r - 12*k**4 - 6*k**3 = 0. What is k?
-1, 0, 1/3, 1
Let 0*s**2 + 1/5*s**4 + 4/5*s + 0 - 3/5*s**3 = 0. Calculate s.
-1, 0, 2
Let j(l) be the third derivative of -l**8/672 + l**7/105 + l**6/20 + l**5/60 - 11*l**4/48 - l**3/2 + 178*l**2. Find p, given that j(p) = 0.
-1, 1, 6
Let o(g) be the first derivative of g**6/12 + 11*g**5/20 + g**4/3 + 19*g + 37. Let b(d) be the first derivative of o(d). Determine r so that b(r) = 0.
-4, -2/5, 0
Let x(v) be the third derivative of -v**8/12600 + v**6/2700 - 7*v**3/6 - 14*v**2. Let h(r) be the first derivative of x(r). Solve h(o) = 0 for o.
-1, 0, 1
Let q = 2/2495 - -996/2495. Let m = 26/55 + -3/11. Solve -q*k + m*k**2 + 0 = 0.
0, 2
Let y = 823/5 + -164. Let m = y - 2/5. Factor 2/5*x + 0 + 1/5*x**4 - 3/5*x**3 - 1/5*x**2 + m*x**5.
x*(x - 1)**2*(x + 1)*(x + 2)/5
Let x be -1*(-6)/3 - 0. Let a = -67/69 + 30/23. Factor 0*l - a*l**x + 1/3.
-(l - 1)*(l + 1)/3
Suppose 11294*q = 11268*q. Suppose -2/17*u**4 + 4/17*u**3 + q*u + 0 - 2/17*u**2 = 0. Calculate u.
0, 1
Suppose -2*m - 5 = -j - m, -25 = 5*j + 5*m. Let v be 15/1 + -7 - 3. Solve -1/2*g + g**4 + 0 + 1/2*g**v + j*g**3 - g**2 = 0 for g.
-1, 0, 1
Let q(w) = -110*w**2 + 715*w - 375. Let f(a) = 5 + 2168*a - 10*a**2 - 39 - 2103*a. Let p(d) = -45*f(d) + 4*q(d). Let p(y) = 0. What is y?
1/2, 6
Let k(v) be the third derivative of -v**7/525 + v**6/100 + 7*v**5/150 - 9*v**4/20 + 6*v**3/5 - 125*v**2. Determine l so that k(l) = 0.
-3, 1, 2, 3
Let f(t) be the second derivative of 0*t**2 + 0 - 4/3*t**3 + 1/10*t**5 + 1/30*t**6 - 1/3*t**4 + 26*t. Factor f(w).
w*(w - 2)*(w + 2)**2
Let h(f) be the third derivative of 0*f**3 + 1/390*f**5 + 8*f**2 + 0*f + 1/78*f**4 + 0. Factor h(r).
2*r*(r + 2)/13
Let g(z) be the third derivative of -10*z**2 + 1/56*z**8 + 0 - 3/80*z**6 - 7/40*z**5 + 0*z**3 - 1/8*z**4 + 0*z + 2/35*z**7. Find v, given that g(v) = 0.
-2, -1/2, 0, 1
Suppose -7 = 4*n - 5*n. Suppose 1 = -2*v + n. Suppose 4*f**5 - 2*f**5 + 3*f**4 - v*f**3 + 5*f**3 + f**4 = 0. Calculate f.
-1, 0
Let b(n) = -n**2 + 7*n + 7. Let r be b(6). Let 11*a**3 - 4*a**5 - 3*a**4 + 3*a**4 - 16*a - 7*a**4 + 4 + r*a**2 - a**4 = 0. What is a?
-2, 1/2, 1
Let f(q) be the second derivative of -q**5/150 + 7*q**4/90 - 8*q**3/45 - 16*q**2/15 - 39*q - 2. Factor f(o).
-2*(o - 4)**2*(o + 1)/15
Let b = -49233/5 - -9847. Solve 32/5*c + 2/5*c**5 - 16/5*c**3 + 16/5*c**2 - 32/5 - b*c**4 = 0.
-2, 1, 2
Let h(w) = 2*w**2 - 14*w + 16. Let p(m) = 4*m**2 - 26*m + 28. Let x(i) = -7*h(i) + 4*p(i). Suppose x(t) = 0. What is t?
0, 3
Factor -3/4*w**2 + 219/2*w - 15987/4.
-3*(w - 73)**2/4
Suppose 0 = 3*h + t + 4*t + 6, 0 = -t. Let k be 6 - (96/(-10))/h. Solve 9/5 + k*r + 1/5*r**2 = 0.
-3
Factor -5*l**2 + 2/3*l**3 - 16/3*l - 4/3 + 5/3*l**4.
(l - 2)*(l + 1)**2*(5*l + 2)/3
Let i be (-1)/(2/4)*(-236 - -20). Factor -2*z**4 - 2592 - i*z**2 - 48*z**3 + 92*z - 919*z - 901*z.
-2*(z + 6)**4
Determine f so that 65*f**2 + 35*f**4 + f**5 + 4*f**5 + 75*f**3 + 35 - 35 + 20*f = 0.
-4, -1, 0
Let d = 1501/616 + -101/77. Let 2*k**5 + 3*k**4 - 1/8 - 7/8*k**3 - d*k - 23/8*k**2 = 0. Calculate k.
-1, -1/4, 1
Let c(j) be the second derivative of j**7/70 - 6*j**6/25 + 51*j**5/100 + 17*j**4/10 - 18*j**3/5 - 12*j**2 + 319*j - 2. Solve c(h) = 0 for h.
-1, 2, 10
Factor 51/4*s**2 - 3/8*s**3 - 195/8*s + 12.
-3*(s - 32)*(s - 1)**2/8
Let x(z) be the first derivative of -z**6/36 + z**4/4 + 4*z**3/9 + z**2/4 - 42. Factor x(v).
-v*(v - 3)*(v + 1)**3/6
Factor -2/3*x**2 - 16/3*x - 10.
-2*(x + 3)*(x + 5)/3
Let h(g) be the first derivative of g**7/4620 - g**6/495 + g**5/165 - 16*g**3/3 + 4. Let c(p) be the third derivative of h(p). Factor c(z).
2*z*(z - 2)**2/11
Factor 14/3 + 4*r - 4*r**3 - 16/3*r**2 + 2/3*r**4.
2*(r - 7)*(r - 1)*(r + 1)**2/3
Let l be 10/(-55) + 5440/(-5610)*(-18)/52. Factor -l*a**2 + 8/13*a - 2/13*a**3 + 8/13.
-2*(a - 2)*(a + 1)*(a + 2)/13
Solve -4/9*c**5 - 76/9*c**2 + 4/9*c**3 + 0 + 0*c + 76/9*c**4 = 0.
-1, 0, 1, 19
Let l be (-2)/(-5) - (-24)/15. Let p = -38/33 - -20/11. Factor -2/3*q**l + p + 8/3*q - 8/3*q**3.
-2*(q - 1)*(q + 1)*(4*q + 1)/3
Suppose 8 = 2*b + q, -3*b - 3*q + 2 + 7 = 0. Factor -1/10*z**b + 1/5*z**2 + 7/10*z - 3/5*z**3 + 3/10 - 1/2*z**4.
-(z - 1)*(z + 1)**3*(z + 3)/10
Suppose -u - 4*n + 20 = 0, 2*u + n = -u + 49. Let b(i) = -i**3 + 3*i**2 - 1. Let j be b(2). Factor 2*k**4 - 4*k**j - 16*k**2 + u*k**2.
2*k**3*(k - 2)
Let m = -694 + 696. Let i(t) be the second derivative of -3/4*t**4 - 1/20*t**6 + 3*t - t**3 - 3/4*t**m - 3/10*t**5 + 0. Solve i(x) = 0.
-1
Let y = 26 + -21. Factor -5*j**2 - 20 - j + 16*j + y*j.
-5*(j - 2)**2
Let a(x) = -6*x**2 + 11*x + 12. Let q = -33 + 15. Let j = -36 - q. Let d(l) = -21*l**2 + 39*l + 42. Let k(b) = j*a(b) + 5*d(b). Find i such that k(i) = 0.
-1, 2
Let z = 17 - 11. Suppose -z*d = -0 - 18. Suppose 6/5 - d*x + 12/5*x**2 - 3/5*x**3 = 0. What is x?
1, 2
Suppose 3 = a - 2*a. Let h be a*(96/(-45) + 2). Factor 0 + h*g**2 + 4/5*g.
2*g*(g + 2)/5
Let o(u) be the first derivative of u**6/144 - 11*u**5/360 + 7*u**4/144 - u**3/36 + 9*u**2 + 10. Let s(y) be the second derivative of o(y). Factor s(c).
(c - 1)**2*(5*c - 1)/6
Let l(w) = w**2 + 11*w - 15 + 5*w + 3 - 3*w. Let h be l(-14). Factor 0 + 1/3*y**h + 2/3*y.
y*(y + 2)/3
Let x = -19 - -21. Let -2*g**2 - 3*g**2 + 8*g**2 + g**x = 0. What is g?
0
Let r(h) be the first derivative of -h**5 + 5*h**4/2 + 95*h**3/3 + 70*h**2 + 60*h + 16. Let r(j) = 0. Calculate j.
-2, -1, 6
What is f in -26/7*f + 2/7*f**4 - 24/7 + 22/7*f**2 + 26/7*f**3 = 0?
-12, -1, 1
Let h(d) be the second derivative of d**5/5 - 29*d**4/3 + 36*d**3 - 64*d - 2. Determine t, given that h(t) = 0.
0, 2, 27
Let f be ((-44)/(3608/123))/(1*6/(-8)). Factor -1/6*k**f + 1/2 - 1/3*k.
-(k - 1)*(k + 3)/6
Let z(q) = q + 2. Let b(n) = 2*n**2 + 2*n - 4. Let l(i) = b(i) + 4*z(i). Suppose l(x) = 0. Calculate x.
-2, -1
Let m(n) = n**3 - 4*n**2 - n + 5. Let l be m(5). Let 31*v**3 - l*v**2 - 15*v**3 - 11*v**3 - 30*v = 0. What is v?
-1, 0, 6
Let v(p) be the third derivative of 4*p**7/35 + 41*p**6/30 - 109*p**5/15 + 71*p**4/6 - 6*p**3 - 693*p**2. Factor v(n).
4*(n - 1)**2*(n + 9)*(6*n - 1)
Factor 240807 + 50*y**2 - 15*y**3 - 5*y**4 + 120*y - 240807.
-5*y*(y - 3)*(y + 2)*(y + 4)
Suppose 8 = -4*d + 2*d, 4*x - 5*d = -84. Let a = 31 + x. Factor -5*g**3 + 20*g**3 - 3*g**5 + 2*g**5 + 10*g**2 - 4*g**a.
-5*g**2*(g 