g*t**2 - t**3.
-4*t**2*(t - 2)
Let o = -7 + 9. Suppose 3*j**2 + 2 + 5*j**o - 12*j**2 - j + 3*j**2 = 0. What is j?
-2, 1
Find p such that -31/5*p**2 - 28/5*p + 4/5 - 8/5*p**3 = 0.
-2, 1/8
Find q such that -33/7*q + 12/7*q**2 + 18/7 = 0.
3/4, 2
Suppose -5 = -2*k + 3. Let u(o) = -2*o**3 + 13*o**2 + 4*o - 7. Let b(a) = -9*a - 70 + 244 + 3*a**3 - 27*a**2 - 159. Let n(m) = k*b(m) + 9*u(m). Factor n(p).
-3*(p - 1)**2*(2*p + 1)
Let q(r) be the third derivative of -r**7/315 - 11*r**6/45 - 14*r**5/15 - 56*r**2 + 2. Solve q(t) = 0.
-42, -2, 0
Suppose 5*u - j - 150 = 0, -u = -2*u - 4*j + 30. Let k be (-4)/(-12) - (-38)/u. Find x, given that -4*x**3 - k - 28/5*x**4 + 4*x + 36/5*x**2 = 0.
-1, 2/7, 1
Let h(i) be the first derivative of -i**5/5 - 3*i**4/4 + 8*i**3 - 14*i**2 - 73. Factor h(y).
-y*(y - 2)**2*(y + 7)
Let x(g) = 9*g**3 - 4*g**2 - 13*g - 11. Let d = 2 + 1. Let b(h) = 7*h + h**2 + h**2 - 4*h**d - 4 - h**3 + 10. Let p(m) = -11*b(m) - 6*x(m). Factor p(a).
a*(a + 1)**2
Factor -13*a**3 - a**4 + 20*a**2 + 19*a**3 + 40*a**2 - 2*a**4 - 26*a + 98*a.
-3*a*(a - 6)*(a + 2)**2
Let n(x) be the first derivative of x**6/4 + 39*x**5/10 + 81*x**4/4 + 46*x**3 + 42*x**2 + 884. Factor n(b).
3*b*(b + 2)**3*(b + 7)/2
Let b(y) be the first derivative of -121*y**4/4 - 11*y**3 + 36*y**2 - 16*y + 79. Suppose b(x) = 0. What is x?
-1, 4/11
Let m be -1*4*(91/(-28) - -2). Let 40*z**2 + 3*z - 5*z + 10 + 0*z**5 - 5*z**m - 10*z**4 + 10*z**3 + 37*z = 0. What is z?
-1, 2
Suppose -q - 62 = 3*d, -5*q = -2*d - 2*q - 45. Let f = -19 - d. Factor 8/3 + 2/3*j**f - 8/3*j.
2*(j - 2)**2/3
Suppose -46 = 9*o - 154. Let q be o/(-8)*16/(-36). Factor 0*d**3 - 2/3*d**2 + 0*d + 0 + q*d**4.
2*d**2*(d - 1)*(d + 1)/3
Factor -9/8*x + 3/2 - 3/8*x**2.
-3*(x - 1)*(x + 4)/8
Let b(v) be the second derivative of -11/14*v**3 - 3/14*v**5 - 3/70*v**6 - 9/14*v**2 + 3*v + 4 - 23/42*v**4 - 1/294*v**7. Solve b(i) = 0 for i.
-3, -1
Let m(q) be the second derivative of 40/27*q**3 - 25/9*q**2 - 1/135*q**6 - 4/45*q**5 + 16*q - 1/9*q**4 + 0. Let m(d) = 0. What is d?
-5, 1
Let c(s) = -161*s + 4*s**3 + 57 + 70*s**2 - 7*s**3 + 4*s**3 + 33. Let h(m) = -14*m**2 + 32*m - 18. Let g(a) = -4*c(a) - 22*h(a). Factor g(u).
-4*(u - 3)**2*(u - 1)
Let p(n) = -n**2 + 2. Let x be p(0). Suppose 3*v + 0*o - 3 = 3*o, 0 = x*v - 4*o + 2. Solve 2*m**v + 0*m**3 - 5*m**4 + 4*m**4 = 0 for m.
0, 2
Let k(m) be the second derivative of -11*m**5/20 + m**4/12 + 17*m**3/6 + 10*m. Let f(o) = 16*o**3 - 2*o**2 - 25*o. Let g(n) = 5*f(n) + 7*k(n). Factor g(b).
3*b*(b - 2)*(b + 1)
Factor 10*h**3 - 44*h**2 - 90*h - 26*h**3 + 13*h**3 + 137*h**2.
-3*h*(h - 30)*(h - 1)
Suppose 7 = 21*q - 56. Suppose 3/4 - 3/4*m**q - 3/4*m**2 + 3/4*m = 0. Calculate m.
-1, 1
Let m = -5 - -9. Determine u, given that -3*u**2 + 3/4*u - 3/2*u**3 + 3/2*u**m + 3/2 + 3/4*u**5 = 0.
-2, -1, 1
Let n(k) be the third derivative of -k**7/945 + 4*k**6/135 - 29*k**5/270 + 7*k**4/54 + 582*k**2 - k. Factor n(u).
-2*u*(u - 14)*(u - 1)**2/9
Suppose 0 = 3*j + 2*q - 3*q, 5*j - q = -2. Let x(o) = 5*o**2 + 2*o - 5. Let l(f) = f**2 + f - 1. Let v(r) = j*x(r) + 2*l(r). Factor v(c).
-3*(c - 1)*(c + 1)
Determine o, given that 25*o**5 + 11625*o**3 - 90*o - 18055*o**2 + 5380*o + 1069*o**4 + 368*o**4 - 322*o**4 = 0.
-23, 0, 2/5, 1
Let w be (-40)/(-16) - (-42)/28. Let 0*y**2 + 0*y + 5/2*y**w + 0 - 5*y**3 = 0. Calculate y.
0, 2
Let c(o) be the first derivative of -2/3*o**3 - 2*o**2 + 0*o + 4 - 38/5*o**5 + 15/2*o**4 + 7/3*o**6. Factor c(d).
2*d*(d - 1)**3*(7*d + 2)
Let a be 2 - 1 - (37 + -43). Let w(s) be the second derivative of -2/5*s**2 + 0 - 1/15*s**4 - 4/15*s**3 + a*s. Let w(t) = 0. What is t?
-1
Let n(r) be the first derivative of 2*r**3/21 + 44*r**2/7 - 184*r/7 + 284. Factor n(l).
2*(l - 2)*(l + 46)/7
Factor -5/4*w + 1/4*w**3 - 1/4*w**2 - 3/4.
(w - 3)*(w + 1)**2/4
Solve -3*a**3 - 6*a + a**3 + 30*a**2 - 222*a + a**3 + 3*a = 0.
0, 15
Let r(i) be the third derivative of 0*i**3 - 1/120*i**6 - 1/210*i**7 + 0 + 0*i**4 + 1/336*i**8 + 1/60*i**5 + 0*i - 6*i**2. Factor r(d).
d**2*(d - 1)**2*(d + 1)
Let g(y) be the first derivative of y**5/5 + 7*y**4/4 - y**3/3 - 7*y**2/2 - 9. Suppose g(r) = 0. Calculate r.
-7, -1, 0, 1
Let w = -7429 + 111437/15. Determine f, given that 4/15 + 2/5*f + w*f**2 = 0.
-2, -1
Let i(z) = -9*z**2 + 4*z + 70. Let f(s) = 5*s**2 - 2*s - 35. Let g(j) = 7*f(j) + 4*i(j). Suppose g(v) = 0. Calculate v.
-5, 7
Let d(v) be the first derivative of v**4/4 - 8*v**3/3 + 13*v**2/2 - 6*v - 142. Factor d(f).
(f - 6)*(f - 1)**2
Let 12/5*x**2 + 6/5*x**3 - 12/5 - 6/5*x = 0. Calculate x.
-2, -1, 1
Let n(v) be the first derivative of 8/9*v**3 + 0*v**2 + 0*v + 0*v**4 - 2/15*v**5 + 51. Suppose n(i) = 0. What is i?
-2, 0, 2
Let a(r) be the third derivative of -r**5/60 + 5*r**4/6 - 50*r**3/3 - 2*r**2 - 362. Factor a(f).
-(f - 10)**2
Let u be 13 + (-9 - (-6 + 1)) + -6. Factor -s**2 - 1/2*s**u + 1 + 1/2*s.
-(s - 1)*(s + 1)*(s + 2)/2
Let p = -14224 + 14228. Suppose 5*a**3 - 7/6*a**p - 5/2*a**2 - 20/3*a + 2 = 0. What is a?
-1, 2/7, 2, 3
Let j(b) = 34*b**2 + 62*b - 78. Let h(o) = -2*o**2 + o. Let s(q) = -36*h(q) - 2*j(q). What is a in s(a) = 0?
1, 39
Let u(a) be the second derivative of -5*a**7/42 + 2*a**6/3 + 21*a**5/4 + 5*a**4/3 - 70*a**3/3 - 119*a. Let u(s) = 0. Calculate s.
-2, 0, 1, 7
Suppose s = 3*s - 4. Suppose -s*t + 3*t - 2*y = 4, 0 = -5*t + 3*y + 13. Suppose -l**3 + 2*l**2 + t*l - 2*l - l**3 = 0. Calculate l.
0, 1
Let l be ((-3)/(-18)*-4)/((-2)/6). Let r(f) be the first derivative of -3 - f + 1/4*f**l - 1/8*f**4 + 1/2*f**3 - 1/10*f**5. Factor r(z).
-(z - 1)**2*(z + 1)*(z + 2)/2
Let x be (-134577)/(-570)*(-2)/12*-5. Let p = 198 - x. Factor 5/4*b**2 + p*b - 5/2.
5*(b - 1)*(b + 2)/4
Let z be 4 + 61/(-15) + (-6)/(-15). Suppose 1/3 + z*m**2 + 2/3*m = 0. Calculate m.
-1
Factor -3 - 20*u + 6*u + u**3 + u**2 - 27 + 6.
(u - 4)*(u + 2)*(u + 3)
Suppose d - 15 = -4*d. Factor -3*l**2 + d*l - 5*l + 14*l.
-3*l*(l - 4)
Let g(t) be the first derivative of 2*t**3 + 0*t**4 + 1/1620*t**6 - 1/270*t**5 + 0*t + 0*t**2 + 6. Let y(u) be the third derivative of g(u). Factor y(h).
2*h*(h - 2)/9
Let s(j) be the third derivative of j**5/330 - 5*j**4/66 + 3*j**3/11 - 52*j**2. Determine p so that s(p) = 0.
1, 9
Suppose -8*v = -22*v. Let y(u) be the third derivative of -1/280*u**7 + 0*u**3 + 0 + v*u - 6*u**2 + 7/480*u**6 - 1/48*u**5 + 1/96*u**4. Factor y(b).
-b*(b - 1)**2*(3*b - 1)/4
Let x(y) = y**2 - 11*y - 12. Suppose b = 5*b - 48. Let u be x(b). Factor 0*d**4 + 0*d**2 + 0 + 1/5*d**5 + u*d - 1/5*d**3.
d**3*(d - 1)*(d + 1)/5
Let u(p) = p**2 + 4*p + 8. Let i be u(-6). Determine y, given that 9*y + 9*y - i + 3*y**2 + 20 = 0.
-6, 0
Let f(w) be the third derivative of 0*w + 3/140*w**5 - 2*w**2 - 1/280*w**6 - 3/56*w**4 + 1/14*w**3 + 0. Factor f(i).
-3*(i - 1)**3/7
Suppose 0*v - 3276 = 7*v. Let w = -4202/9 - v. What is z in 56/9*z - 44/9*z**2 + w*z**3 - 16/9 = 0?
2/5, 2
Suppose 0 = 2*j - 2 - 2. Let a be -2*-2*(-1 + j). Factor -3 - 3*f**2 + 1 - 5*f + f**3 + 6*f**a - 5*f**4.
(f - 2)*(f + 1)**3
Let m(r) be the third derivative of -r**8/280 + r**7/25 + r**6/50 - 7*r**5/25 - r**4/20 + 7*r**3/5 + r**2 + 26*r. Find f such that m(f) = 0.
-1, 1, 7
Find d, given that 12 + 1451*d**2 - 975*d**2 + 256*d**5 - 136*d + 176*d**3 - 512*d**3 - 704*d**4 = 0.
-1, 1/4, 3
Let r be (-14 + 15)*10/2. Let z(x) be the first derivative of -3/5*x**r + 5 + 3/2*x**2 + x**3 - 3/4*x**4 + 0*x. Suppose z(y) = 0. What is y?
-1, 0, 1
Let s(p) be the first derivative of -3*p**4/32 - 7*p**3/8 - 33*p**2/16 - 15*p/8 - 80. What is r in s(r) = 0?
-5, -1
Let o = -48 - -48. Let v(z) be the second derivative of -1/2*z**4 + 0 + 9/20*z**5 - 7*z + 0*z**2 + o*z**3. Factor v(b).
3*b**2*(3*b - 2)
Let f = -5177/3 - -1726. Let o(l) be the first derivative of f*l**3 + 2*l - 3/2*l**2 - 7. Suppose o(i) = 0. Calculate i.
1, 2
Let -1945/4*z + 905/4*z**2 - 5*z**3 + 215/2 = 0. Calculate z.
1/4, 2, 43
Let k(j) = 8*j**3 + 37*j**2 - 98*j + 17. Let h(v) = -3*v**3 - 12*v**2 + 33*v - 6. Let b(u) = 17*h(u) + 6*k(u). Solve b(q) = 0.
0, 3
Let a be (-46)/10 - (4/(-9))/((-14)/(-189)). Determine g, given that a*g + 8/5*g**2 - 1/5 = 0.
-1, 1/8
Let k(x) be the first derivative of -x**4/12 + 19*x**3/9 + x**2/6 - 19*x/3 - 82. Factor k(w).
-(w - 19)*(w - 1)*(w + 1)/3
Let p be (18/(-45))/(3/(-45)). Let z(j) be the second 