pose -12/5*m + 2/5*m**2 + 16/5 = 0. What is m?
2, 4
Let o(s) be the second derivative of 1/210*s**7 - 1/100*s**5 + 0*s**2 - 1/150*s**6 + 0 + 0*s**3 + 1/60*s**4 - 21*s. Factor o(i).
i**2*(i - 1)**2*(i + 1)/5
Let d(t) = -5*t**2 - 8 - 64*t + 56*t + 4*t**2. Let r be d(-6). Suppose 70*s + 12*s**3 - 66*s + 4*s**r + 8*s**2 + 4*s**2 = 0. Calculate s.
-1, 0
Suppose -17*k - 7*k = -0*k. Find g, given that -2/21*g + 4/21*g**4 - 4/21*g**2 + 2/21*g**5 + 0 + k*g**3 = 0.
-1, 0, 1
Factor 7*f + f**4 + 320*f**2 - 641*f**2 + 318*f**2 + 6 - 3*f**3.
(f - 3)*(f - 2)*(f + 1)**2
Suppose 3*q - 32 + 5 = -4*l, -2*l = 4*q - 26. Factor 3*j**3 - 7*j**5 + 2*j**5 + 5*j**l + 10*j**2 + 7*j**3.
-5*j**2*(j - 2)*(j + 1)**2
Let p = -20 - -25. Suppose 4*i + p*m = 10, 6*m - 6 = -3*i + 3*m. Determine o so that -8 + i + 73*o - 4*o**3 - 61*o = 0.
-2, 1
Factor -5/2*t**4 - 60*t**3 - 605/2 - 415*t**2 - 660*t.
-5*(t + 1)**2*(t + 11)**2/2
Let u be 48/32*16/6. Suppose -8 + 8*i + 0 - i**2 - 12 + u = 0. What is i?
4
Solve 2/15*v**2 - 764/15*v + 72962/15 = 0.
191
Suppose -5*m + 6 = -4*v + 2*v, 2*v + 6 = 3*m. Let o(l) be the second derivative of -l + 1/6*l**4 + 2*l**2 + m - l**3. Factor o(i).
2*(i - 2)*(i - 1)
Factor 15/2 - 1/2*t**2 - 7*t.
-(t - 1)*(t + 15)/2
Let x(n) be the first derivative of n**7/210 + n**6/75 - n**4/30 - n**3/30 + 40*n + 21. Let j(y) be the first derivative of x(y). Factor j(i).
i*(i - 1)*(i + 1)**3/5
Let q(v) be the first derivative of v**5/3 - 5*v**4/12 - 10*v**3/9 - 152. Factor q(k).
5*k**2*(k - 2)*(k + 1)/3
Let n(m) be the first derivative of -4*m**3/3 + 124*m**2 - 244*m - 310. Find t, given that n(t) = 0.
1, 61
Factor -3 - 5 - 6250*b**2 + 6260*b**2 + 2*b.
2*(b + 1)*(5*b - 4)
Let y = -7944 - -7944. Factor 0*u - 1/3*u**4 + 1/3*u**3 + y*u**2 + 0.
-u**3*(u - 1)/3
Let o(h) be the third derivative of h**8/90720 + h**7/3780 - 7*h**6/3240 + 17*h**5/60 + 3*h**2. Let d(j) be the third derivative of o(j). Factor d(x).
2*(x - 1)*(x + 7)/9
Let o = 184/7 - 1451/56. Let r(k) be the first derivative of 5 + o*k**2 + 0*k + 1/2*k**3 + 3/16*k**4. Factor r(c).
3*c*(c + 1)**2/4
Solve 33/7*h**2 + 72/7 - 3/7*h**3 - 102/7*h = 0.
1, 4, 6
Let w(q) be the second derivative of -1/66*q**4 + 0 - 1/110*q**5 + 0*q**2 - 5*q + 0*q**3. Solve w(n) = 0.
-1, 0
Let h = -46 - -52. Suppose 0 = h*u + u. Solve 0*v**2 + 0 - 1/3*v**5 + 0*v**3 - 1/3*v**4 + u*v = 0 for v.
-1, 0
Suppose -28 = -4*s + 2*x, -2*x - 9 = 5*s - 26. Determine w, given that 1/4*w**4 + 1/4 + 2*w**3 - 1/2*w**2 - w - w**s = 0.
-1, 1/4, 1
Let v = 1162/45 - 128/5. Factor 2/9*g**5 - 2/3*g + 4/9*g**3 - 2/3*g**4 + 4/9*g**2 + v.
2*(g - 1)**4*(g + 1)/9
Let f(i) be the first derivative of 1/2*i**3 - 3/2*i**2 + 1/4*i**4 + 3*i - 5 - 3/20*i**5. Let n(r) be the first derivative of f(r). Solve n(u) = 0 for u.
-1, 1
Let q be (-4)/(-2) - (-16 + 16). Let -15*y + 20 - 45*y**5 - 10 - 5*y**2 + 140*y**3 - 85*y**q = 0. Calculate y.
-2, -1/3, 1/3, 1
Let r(z) be the first derivative of -z**4/9 - 4*z**3/9 - 2*z**2/3 - 4*z/9 + 111. Let r(o) = 0. What is o?
-1
Let k(b) be the third derivative of b**7/840 - b**6/120 + b**5/120 + b**4/24 - b**3/8 - 97*b**2. Solve k(n) = 0.
-1, 1, 3
Factor -2/3*s**3 + 8/3*s - 1/3*s**4 + s**2 + 4/3.
-(s - 2)*(s + 1)**2*(s + 2)/3
Suppose -8*b = 11 - 35. Let p be -2*(b + -2 + -2). Suppose 8/3*y**5 + 2/3*y - 8/3*y**4 - 2*y**3 + 0 + 4/3*y**p = 0. Calculate y.
-1/2, 0, 1
Factor 98 - 40*q + 3*q**3 - 4*q**3 + 5*q**3 - 74 + 14*q**2 - 2*q**4.
-2*(q - 2)**2*(q - 1)*(q + 3)
Let u(k) be the second derivative of k**7/6300 - k**5/300 + k**4/90 - k**3 + 10*k. Let z(w) be the second derivative of u(w). Suppose z(t) = 0. What is t?
-2, 1
Let d(z) = 9*z**4 + 19*z**3 - 11*z**2 - 35*z + 30. Let l(k) = -k**4 - k**3 - k**2. Let i(j) = d(j) + 4*l(j). What is u in i(u) = 0?
-3, -2, 1
Let v = 56 + -277/5. Let k(u) be the first derivative of v*u**4 + 3/25*u**5 + 5 + 3/5*u**2 + u**3 + 0*u. Suppose k(n) = 0. Calculate n.
-2, -1, 0
Let a(z) be the first derivative of 0*z**3 + 0*z**2 - 3/4*z**4 + 0*z - 19. Factor a(s).
-3*s**3
Let 7*o**4 - 19*o - 8*o**4 + 6*o**4 - 55*o**3 + 139*o - 70*o**2 + 0*o**4 = 0. Calculate o.
-2, 0, 1, 12
Let f(i) be the first derivative of -1/4*i**2 + 0*i - 1/10*i**5 + 1/6*i**3 + 1/8*i**4 - 2. Factor f(m).
-m*(m - 1)**2*(m + 1)/2
Factor 4 - 14/3*a + 2/3*a**2.
2*(a - 6)*(a - 1)/3
Let y(f) be the second derivative of f**5/390 - f**4/39 + 4*f**3/39 + 7*f**2/2 + 8*f. Let n(s) be the first derivative of y(s). Factor n(d).
2*(d - 2)**2/13
Let p = 15 + -60. Let x = p - -407/9. Factor 2/3*h - 4/9 + 0*h**4 + 4/9*h**2 - 8/9*h**3 + x*h**5.
2*(h - 1)**3*(h + 1)*(h + 2)/9
Let m = 124 - 79. Let c(f) = 23*f**2 + 16*f - 20. Let l(k) = -255*k**2 - 175*k + 220. Let h(x) = m*c(x) + 4*l(x). Determine w so that h(w) = 0.
-2, 2/3
Let f(c) = -c - 2. Let a be f(0). Let k be (3 + a)*(0 - -3). Factor -27*h**k + 27*h**3 - 8*h**4 + 4*h**5.
4*h**4*(h - 2)
Let m = 41 + -37. Let v(y) be the first derivative of 0*y + 0*y**2 + 2/11*y**5 + 4/33*y**3 - m + 7/22*y**4. Factor v(p).
2*p**2*(p + 1)*(5*p + 2)/11
Let v be (0 + (-3)/(-132))*(-664)/(-25). Let k = -1/275 + v. Factor k*q**3 + 0 + 0*q + 3/5*q**2.
3*q**2*(q + 1)/5
Suppose -16 = -5*o - 4*y, 2*o = o - 4*y. Find x such that -2*x**o + 3*x**4 + 14*x**3 - 16*x**3 = 0.
0, 2
Find q such that -1/2*q**3 + 1/4*q**4 - 1/4 + 1/2*q + 0*q**2 = 0.
-1, 1
Let o(u) be the third derivative of u**6/480 + 7*u**5/240 - 17*u**4/96 + 3*u**3/8 - 16*u**2 + 2*u. What is i in o(i) = 0?
-9, 1
Let m(q) be the third derivative of -q**5/12 - 5*q**4/3 - 40*q**3/3 - 164*q**2. Factor m(p).
-5*(p + 4)**2
Let b(g) be the first derivative of -g**5/210 + g**4/42 - g**3/21 - 19*g**2/2 + 8. Let m(h) be the second derivative of b(h). Determine s so that m(s) = 0.
1
Let u be -2 - (-2)/((-10)/(-25)). Let c(y) be the second derivative of 1/48*y**u + 0 + 1/48*y**4 + 0*y**2 + y + 1/160*y**5. Solve c(v) = 0 for v.
-1, 0
Let p be 10/(600/54)*20/45. Factor -1/5*m + 1/5*m**3 + p*m**2 - 2/5.
(m - 1)*(m + 1)*(m + 2)/5
Suppose 2*z + 2 - 4 = 0, -3*g + 4*z + 5 = 0. Let i be g/(-15) + 77/35. Find v, given that 16/11 - 56/11*v - 4/11*v**i + 14/11*v**3 = 0.
-2, 2/7, 2
Let q(y) be the second derivative of -y**6/10 + 3*y**5/20 + 3*y**4/4 - 5*y**3/2 + 3*y**2 + 780*y. Factor q(t).
-3*(t - 1)**3*(t + 2)
Let k(i) be the second derivative of -i**4/15 - 131*i**3/30 + 33*i**2/10 + 68*i. Factor k(r).
-(r + 33)*(4*r - 1)/5
Factor 9/5*b + 54/5 - 3/5*b**2.
-3*(b - 6)*(b + 3)/5
Suppose -20 = -4*h + 5*j, -239*h + j = -234*h - 4. Let q(i) be the second derivative of -i**2 - 1/10*i**5 - 1/2*i**4 - 3*i - i**3 + h. Factor q(k).
-2*(k + 1)**3
Suppose -3*f + 22 = -5*q, 14 - 4 = -5*q. Let y(n) be the third derivative of 0 - 8*n**2 - 1/6*n**f - 4/3*n**3 + 1/15*n**5 + 0*n. Factor y(b).
4*(b - 2)*(b + 1)
Let m be (-21)/12*2*-2. Let f = m - 4. Solve -g + 4*g**3 + 4*g - 7*g**f = 0.
-1, 0, 1
Let t(d) be the second derivative of 0*d**3 - 5/48*d**4 - 3*d + 0*d**2 + 0. Solve t(g) = 0.
0
Let t(g) be the second derivative of g**4/24 - 35*g**3/4 - 2*g + 83. Let t(x) = 0. What is x?
0, 105
Let r(w) be the first derivative of -2*w**2 + 8*w + w**4 - 12 - 8/3*w**3. Factor r(g).
4*(g - 2)*(g - 1)*(g + 1)
Let w(o) be the second derivative of -o**5/10 + o**4/3 + 8*o**3/3 - 20*o + 3. Factor w(j).
-2*j*(j - 4)*(j + 2)
Suppose 3*l = -5*w - 57, 2*w - 4*l = w + 7. Let x = w - -12. Factor 6*s**2 - 15*s**2 + x*s**5 - 3*s**2 + 18*s**3 + 3*s - 12*s**4.
3*s*(s - 1)**4
Let l = -13846/5 - -2770. Solve 0 + 2/5*s + 0*s**4 - l*s**3 + 2/5*s**5 + 0*s**2 = 0.
-1, 0, 1
Let s be (-2)/(3/(-4)*(-48)/(-54)). Let k(f) be the first derivative of 9/20*f**4 - 12/5*f**2 + 2 - 12/5*f - 1/5*f**s. Suppose k(o) = 0. Calculate o.
-1, -2/3, 2
Let q(a) = a**4 + 2*a**3 + a**2 + 2. Let z(u) = -u**4 - 4*u**3 - u**2 - 3. Let i(l) = -3*q(l) - 2*z(l). Factor i(k).
-k**2*(k - 1)**2
Suppose 0*v - 3 = v. Let g(w) = -6*w**2 - 3*w + 6. Let m(o) = 4*o**2 - 2*o - 2 + 0*o - 9*o**2 + 7. Let q(i) = v*m(i) + 2*g(i). Factor q(f).
3*(f - 1)*(f + 1)
Let a(d) be the first derivative of 16 + 4/15*d**2 + 16/15*d - 4/45*d**3 - 1/30*d**4. Factor a(j).
-2*(j - 2)*(j + 2)**2/15
Let l(v) be the third derivative of -v**7/75 + 8*v**6/75 - 17*v**5/75 + 3*v**3/5 + 97*v**2. Solve l(j) = 0.
-3/7, 1, 3
Let d = 8590 - 146026/17. Determine r so that -4/17*r**3 + 0 + d*r + 6/17*r**4 - 6/17*r**