
Suppose 2*c**2 - 19*c**2 - 104 + 2*c**3 - 96*c - c**2 = 0. What is c?
-2, 13
Let c = 27 - 25. Factor -2*g + 10*g - 31*g**c + 5*g**4 - g**2 + 34*g**3 - 15*g**4.
-2*g*(g - 2)*(g - 1)*(5*g - 2)
Let x(i) be the second derivative of -2*i**7/105 + 7*i**6/75 + 3*i**5/5 - 67*i**4/30 - 136*i**3/15 - 48*i**2/5 + 23*i + 2. Suppose x(d) = 0. Calculate d.
-3, -1, -1/2, 4
Let k be (-2)/4*-6 - (-33)/(-66)*0. Solve -2/13*y**4 + 0 + 2/13*y**5 + 0*y**2 + 0*y**k + 0*y = 0.
0, 1
Let -126150/7*i - 2/7*i**3 + 870/7*i**2 + 6097250/7 = 0. Calculate i.
145
What is k in -54/11*k**4 + 20/11*k**5 - 148/11*k**2 + 10/11 - 12/11*k - 200/11*k**3 = 0?
-1, -1/2, 1/5, 5
Let m be (((-8)/40)/((-2)/(-15)))/(-18). Suppose 1/6 - m*g**2 + 1/12*g = 0. Calculate g.
-1, 2
Let f(o) be the second derivative of -1/20*o**5 + 1/3*o**3 + 4*o - 1/12*o**4 + 0 + 0*o**2. Solve f(p) = 0.
-2, 0, 1
Let h be 12/9*(-45)/(-20). Solve -3*w**2 + 0*w**h - 12*w**2 + 75*w - 125 + 0*w**3 + w**3 = 0 for w.
5
Suppose -8 = 2*i + 2*i. Let j be (-9)/45*(i + -1 + 0). Factor -6/5*p**2 + 0 + 3/5*p**3 + j*p.
3*p*(p - 1)**2/5
Let k(q) be the second derivative of q**6/300 - q**5/150 - q**4/30 + 5*q**2 - 12*q. Let d(i) be the first derivative of k(i). Solve d(p) = 0 for p.
-1, 0, 2
Let x(s) be the second derivative of -s**5/80 - 5*s**4/24 - 11*s**3/8 - 9*s**2/2 + 2*s + 40. Let x(w) = 0. What is w?
-4, -3
Let y(g) = g - 12. Let v be y(15). Suppose 15*x - 9*x**2 - 12*x**4 - 15*x**v - 3 + 18*x**4 + 6*x**4 = 0. Calculate x.
-1, 1/4, 1
Let i = 606 + -602. Let c = 1 - -3. Factor 2*o**5 - c*o + 0*o + 2*o + 4*o**2 - 4*o**i + 0*o.
2*o*(o - 1)**3*(o + 1)
Solve -18 - 260*v**2 - 18 + 55*v + 9 + v**3 + 231*v**2 = 0 for v.
1, 27
Let v be -3*(0/(-5) + 16/(-6)). Determine p so that 6*p - 3 - v + 11 + 8*p**2 + 2*p**3 = 0.
-3, -1, 0
Solve 726 - 2825*o**3 - 10400*o + 220*o**4 - 5*o**5 + 9010*o**2 + 3897 - 623 = 0.
1, 2, 20
Let s(f) be the first derivative of f**6/30 - f**5/50 - f**4/20 + f**3/30 + 941. Let s(m) = 0. Calculate m.
-1, 0, 1/2, 1
Suppose -2*r + 1035 = 3*r. Let 207 - 3*j**2 - r - 4*j = 0. What is j?
-4/3, 0
Factor -26/5*u - 2/5*u**2 + 0.
-2*u*(u + 13)/5
Suppose 2*l + 4*g - 28 = 0, 0 = -2*l - 0*g - 2*g + 18. What is w in -6 - 7 - 5*w**l + 3 - 25*w**3 - 35*w - 45*w**2 = 0?
-2, -1
Let r(s) be the first derivative of 29 - 2/105*s**5 + 2/21*s**4 + 0*s**2 + 0*s - 2/21*s**3. Factor r(l).
-2*l**2*(l - 3)*(l - 1)/21
Let p = -52 + 55. Factor -5*w**2 - w**3 + p*w**3 + 5 - 3*w**3 - 4*w**3 + 5*w.
-5*(w - 1)*(w + 1)**2
Let o = 41/630 - 1/105. Let m(h) be the first derivative of -1/6*h**4 + 1/3*h + 1/6*h**2 - 4 - 2/9*h**3 + 1/15*h**5 + o*h**6. Find q such that m(q) = 0.
-1, 1
Let f = 202 - 22. Let d = -898/5 + f. Let -d - 12/5*s**2 + 2*s - 6/5*s**5 - 4/5*s**3 + 14/5*s**4 = 0. Calculate s.
-1, 1/3, 1
Let a be -24*(-8)/15 - (-15)/(-3). Let l = a + -263/35. Factor -1/7 - 1/7*w**2 + l*w.
-(w - 1)**2/7
Let m(y) be the second derivative of -1/10*y**2 + 0 - 1/50*y**5 + 1/30*y**3 + 1/210*y**7 + 1/30*y**4 - 20*y - 1/150*y**6. Find x, given that m(x) = 0.
-1, 1
Let r(m) = 8*m**3 + 10*m**2 + 150*m + 70. Let g(d) = -d**3 + d - 1. Let y(a) = 44*g(a) + 2*r(a). Solve y(x) = 0 for x.
-3, -2/7, 4
Let y = 575/574 - -35/82. Solve -y*c**4 + 6/7*c**5 + 0 - 8/7*c**3 + 0*c + 8/7*c**2 = 0 for c.
-1, 0, 2/3, 2
Let n be 18/8 - 2 - -12*(-5)/(-1680). What is m in 12/7*m**3 + n*m**4 - 12/7*m - 10/7 + 8/7*m**2 = 0?
-5, -1, 1
Let i(q) be the second derivative of 21*q - 1/7*q**2 + 0*q**3 + 1/42*q**4 + 0. Factor i(d).
2*(d - 1)*(d + 1)/7
Let s = -18201 + 18203. Let x**s - 1/2*x - 1/2 - 1/2*x**4 + x**3 - 1/2*x**5 = 0. What is x?
-1, 1
Suppose 16/7 + 4/7*z**3 + 20/7*z**2 + 32/7*z = 0. What is z?
-2, -1
Let g(a) be the third derivative of 0 - 6*a**2 + 0*a + 0*a**3 - 1/285*a**5 + 1/228*a**4 + 1/1140*a**6. Factor g(n).
2*n*(n - 1)**2/19
Let y(o) be the third derivative of 0*o**3 + 0*o + 14*o**2 + 5/168*o**8 - 1/15*o**7 + 0*o**5 + 0 + 0*o**4 + 1/30*o**6. Factor y(g).
2*g**3*(g - 1)*(5*g - 2)
Let j be ((-4)/(-980))/(-1 - (-7 + 3)). Let l(d) be the third derivative of 0*d**4 + 2*d**2 + 1/210*d**6 + 0*d + 0*d**3 - 1/210*d**5 - j*d**7 + 0. Factor l(y).
-2*y**2*(y - 1)**2/7
Let i(a) = -14*a + 168. Let y be i(12). Factor -9/2*p + y + 3/2*p**3 - 3*p**2.
3*p*(p - 3)*(p + 1)/2
Let z(n) = -7*n**3 - 8*n**2 + 5*n + 8. Let g(d) = 15*d**3 + 15*d**2 - 10*d - 15. Let p(b) = 2*g(b) + 5*z(b). Determine v, given that p(v) = 0.
-2, -1, 1
Let k be 1/60*2730/24. Let y = -9/16 + k. Factor -2/3*s**3 + 5/3*s**2 - y*s + 1/3.
-(s - 1)**2*(2*s - 1)/3
Let f(x) = 2*x**3 + 5*x**2 - 5*x - 2. Let g be f(-3). Factor -9*l**4 - 14*l + 2*l + 9*l**3 + 2*l**4 + 4*l**g.
-3*l*(l - 2)**2*(l + 1)
Let t be 0 + (40/(-48))/((-4)/102). Let b = t + -21. Factor 0 - 1/2*r**3 - b*r**2 - 1/4*r**4 + 0*r.
-r**2*(r + 1)**2/4
Suppose -6*p = 2*p - 5*p. Let a(o) be the first derivative of 0*o**3 + o**4 - 1/3*o**6 - o**2 + 0*o - 4 + p*o**5. What is y in a(y) = 0?
-1, 0, 1
Let j(u) be the third derivative of 1/6*u**5 - 20/3*u**3 + 25/6*u**4 - 5/24*u**6 - 7*u**2 + 0*u + 0. Determine a so that j(a) = 0.
-2, 2/5, 2
Find l, given that 2*l - 1/4*l**2 - 1 - 3/4*l**3 = 0.
-2, 2/3, 1
Let d(y) be the second derivative of y**6/30 - 11*y**4/12 - 3*y**3 - 4*y**2 - 45*y + 1. Find x such that d(x) = 0.
-2, -1, 4
Let t(n) be the first derivative of n**8/2100 - n**7/1050 - n**6/150 + n**5/30 - n**4/15 - 5*n**3 + 4. Let y(w) be the third derivative of t(w). Factor y(s).
4*(s - 1)**3*(s + 2)/5
Factor -221*p**5 + 56600*p**3 - 36000*p**4 - 33760*p**2 + 313*p**5 + 533*p**5 - 896 + 8976*p.
(p - 56)*(5*p - 2)**4
Let o(l) = -l**3 + 8*l**2 + 3*l - 9. Let a be o(8). Factor 7*d**2 + 5*d**3 - a*d + 13 - 3 + 13*d**2 - 100.
5*(d - 2)*(d + 3)**2
Let f(q) be the third derivative of q**7/90 - q**6/30 - 5*q**5/36 - q**4/12 + 12*q**2 + 7*q. Factor f(k).
k*(k - 3)*(k + 1)*(7*k + 2)/3
Let p(v) be the first derivative of v**4/10 + 8*v**3/5 - 13*v**2/5 + 250. Factor p(z).
2*z*(z - 1)*(z + 13)/5
Let c be 5/10*(-2 + 2). Suppose c = -2*b + 5*b + 4*i - 25, 2*b + 4*i - 22 = 0. What is u in -3 + 4*u**2 + b - 7*u**2 = 0?
0
Let t(z) = -3*z**2 + z - 1. Let q(m) = 2*m**2 + 1. Suppose 0 = 6*i - i. Suppose -20 = -i*d - 4*d. Let c(s) = d*q(s) + 3*t(s). Factor c(p).
(p + 1)*(p + 2)
Let r(n) be the third derivative of -n**8/1680 + n**6/120 - n**4/30 - 8*n**2. Determine u, given that r(u) = 0.
-2, -1, 0, 1, 2
Let o(m) = -120*m**4 + 120*m**3 - 65. Let i(k) = 24*k + 7. Let v be i(-3). Let h(t) = 11*t**4 - 11*t**3 + 6. Let z(q) = v*h(q) - 6*o(q). Factor z(b).
5*b**3*(b - 1)
Suppose 2*h - 16 = 4*g, -3*h - 5*g - 17 = -4*h. Suppose 2*i + h*p = 8, -2*p - 3 = -4*i + 1. Let -z**2 + 2*z - i*z**3 + 3/2*z**4 - 1/2 = 0. Calculate z.
-1, 1/3, 1
Let l(u) be the second derivative of -u**6/120 + 3*u**5/40 - u**4/4 - u**3 + u. Let s(x) be the second derivative of l(x). Find k, given that s(k) = 0.
1, 2
Let b be (0/((-2)/(4 + -2)))/2. Let o(u) be the second derivative of 5*u - 2*u**2 - 1/3*u**4 - 4/3*u**3 + b. Factor o(l).
-4*(l + 1)**2
Let s(x) be the third derivative of -17/48*x**4 + 0*x + 18*x**2 - 2/15*x**5 + 0 + 1/2*x**3 + 7/240*x**6. Let s(j) = 0. Calculate j.
-1, 2/7, 3
Let h(s) be the third derivative of 1/20*s**5 + 0*s + 6*s**2 - 1/70*s**7 - 1/24*s**4 + 0 + 1/24*s**6 - 1/84*s**8 + 0*s**3. Suppose h(q) = 0. What is q?
-1, 0, 1/4, 1
Determine v so that 954*v + 602*v**2 + 14/3*v**4 - 324 + 290/3*v**3 = 0.
-9, -3, 2/7
Determine z, given that -22 - 11 - 111*z - 8 - 3*z**2 - 67 = 0.
-36, -1
Let b(i) be the second derivative of i**6/150 + i**5/25 + i**4/20 + 53*i. Suppose b(t) = 0. What is t?
-3, -1, 0
Factor 3*q**3 - 81 - 14*q + 2*q + 109*q**2 - 100*q**2 - 15*q.
3*(q - 3)*(q + 3)**2
Factor -26 + 3*t**2 - 46 - 42*t + 27.
3*(t - 15)*(t + 1)
Let n(a) be the third derivative of -a**6/600 - a**5/300 - 2*a**2 + 22. What is x in n(x) = 0?
-1, 0
Let n = -4 - -4. Suppose 0 = f - n*f. What is x in 27*x**2 + 21*x + 6 - 2*x**3 + 3*x**4 + 17*x**3 + 0*x + f*x**4 = 0?
-2, -1
Suppose 0 = 2*p + 2*g, -2*p - 3*p = -2*g - 21. Suppose -16 + p*w**2 + w**2 + w**2 - w**2 = 0. What is w?
-2, 2
Let a(y) = -y**2 + y - 2. Let m(n) = -2*n**4 - 3*n**3 + 23*n**2 - 22*n + 18. Suppose 62*k - 2 = 61*k. Let r(g) = k*m(g) + 14*a(g). Solve r(v) = 0.
-4, 1/2, 1
Let h(t) be the third derivative of 9*t**6/40 + 51*t**5/2 + 337*t**4/8 + 28*t**