 + 90*a**2 + 7*a**4 = 0. What is a?
-2, -1, -1/5
Suppose -107 = 5*w - 2. Let r(l) = -l**2 + l + 9. Let h(d) = 9 - 18 + 4 + 6. Let b(z) = w*h(z) + 3*r(z). Factor b(g).
-3*(g - 2)*(g + 1)
Let d = 250/897 - -2/69. Find q, given that -d + 4/13*q**2 + 2/13*q - 2/13*q**3 = 0.
-1, 1, 2
Let v be -2*(-6)/4 - 639/426. What is n in 0 + v*n**3 - 1/2*n - n**2 = 0?
-1/3, 0, 1
Let l(z) = -2*z**3 - 19*z**2 + 12*z. Let o be l(-10). Let c be ((-2)/o)/(7/28). Suppose -2/5*u + 0 + u**2 - u**4 + c*u**3 = 0. Calculate u.
-1, 0, 2/5, 1
Let g(v) be the first derivative of -v**3/9 - 19*v**2/6 + 20*v/3 - 23. Factor g(l).
-(l - 1)*(l + 20)/3
Let t(u) be the second derivative of u**4/42 + 6*u**3/7 + 81*u**2/7 + 11*u + 2. Let t(s) = 0. Calculate s.
-9
Find d such that 0 - 1/3*d**4 + 8/3*d**3 + 0*d**2 + 0*d = 0.
0, 8
Suppose 83*o - 86*o = -45. Let z = -8 - -13. Solve -v**2 - 9*v + o*v - z*v + 0*v**2 = 0 for v.
0, 1
Let u(o) = -199*o**2 + 23*o + 9. Let l(d) = -50*d**2 + 6*d + 2. Let q(g) = -9*l(g) + 2*u(g). Factor q(y).
4*y*(13*y - 2)
Let c(p) be the first derivative of p**7/168 - p**6/24 + 3*p**5/80 + 3*p**4/16 + 24*p + 8. Let z(u) be the first derivative of c(u). Factor z(k).
k**2*(k - 3)**2*(k + 1)/4
Let t(f) be the second derivative of -3*f**7/11 - 59*f**6/165 + 71*f**5/110 + 21*f**4/22 - 8*f**3/33 - 4*f**2/11 + 97*f - 2. Suppose t(j) = 0. What is j?
-1, -2/9, 2/7, 1
Let b(t) be the second derivative of -t**5/4 - 25*t**4/12 + 125*t**3/6 + 625*t**2/2 + 142*t. Factor b(u).
-5*(u - 5)*(u + 5)**2
Let p(o) be the first derivative of -o**5 + 15*o**4/2 + 35*o**3/3 - 90*o**2 - 180*o - 306. Determine h so that p(h) = 0.
-2, -1, 3, 6
Let k(r) = 39 + 35*r + 87*r - 2 - 3 + 22*r**2. Let h(o) = 2*o**2 + 11*o + 3. Let y(d) = -68*h(d) + 6*k(d). Factor y(t).
-4*t*(t + 4)
Let l(j) be the first derivative of 2/3*j**6 + 57*j**4 - 20 + 536/3*j**3 + 312*j**2 + 288*j + 48/5*j**5. Suppose l(r) = 0. What is r?
-3, -2
Let n(q) be the third derivative of -q**8/1176 + 2*q**7/735 + 2*q**6/105 - 3*q**5/35 + 3*q**4/28 + 861*q**2. Let n(a) = 0. Calculate a.
-3, 0, 1, 3
Let w(d) be the first derivative of -9 + 5/4*d**4 - 4*d + 7/3*d**3 - 4*d**2. Solve w(z) = 0 for z.
-2, -2/5, 1
Suppose h + 2 = -2, 26 = 2*t - 5*h. Suppose 3 = 2*j - t*q, 2*q = 2 - 0. Factor -3 + 2*p**j + 4*p**2 + 5 - 2*p + 0*p**2 - 6*p**2.
2*(p - 1)**2*(p + 1)
Let j(t) be the third derivative of -77*t**6/480 - 29*t**5/120 - t**4/12 + 278*t**2. Determine v so that j(v) = 0.
-4/7, -2/11, 0
Let s = 2 + 0. Let a be 25/250 - (-52)/280. Find z, given that a*z**3 + 4/7*z**s - 2/7*z**4 + 0 + 0*z = 0.
-1, 0, 2
Let m(a) = 5*a - 15. Let v be m(4). Suppose -v*p - 3*r + 25 = 0, -18 = 4*p - 4*r - 6. Factor 2/11*o**3 - 4/11*o**p + 2/11*o + 0.
2*o*(o - 1)**2/11
Let f = 32 + -27. Factor 25*w**3 - w**2 - 4*w**2 - f*w**2 + 5 + 5 - 25*w.
5*(w - 1)*(w + 1)*(5*w - 2)
Factor -69*t**2 - 79*t - 2*t**4 - t**4 + 112*t + 39*t**3.
-3*t*(t - 11)*(t - 1)**2
Let k(o) be the first derivative of o**4 - 52*o**3/3 + 110*o**2 - 300*o + 58. Let k(m) = 0. What is m?
3, 5
Let p(k) = -k**2 - 7*k + 1. Let j(o) = o**2 + 40*o + 25. Let u(i) = j(i) + 2*p(i). Factor u(c).
-(c - 27)*(c + 1)
Let j(x) be the third derivative of -x**8/1008 - x**7/315 + x**6/18 - 2*x**5/15 - 159*x**2 - 2*x. Factor j(l).
-l**2*(l - 2)**2*(l + 6)/3
Let y = 6 - 4. Let w be 2*(5 - (-5)/(-2)). Solve -4*q + 0*q**2 - w*q**2 + 2*q**y + q = 0 for q.
-1, 0
Let r = -292/11 - -617/22. Let l(w) = 3*w**2 + w. Let a be l(-1). Factor -1/2*i**a + r - i.
-(i - 1)*(i + 3)/2
Let y(j) be the third derivative of j**6/45 - 7*j**5/90 + j**4/18 + j**3/9 + j**2 - 212. Factor y(l).
2*(l - 1)**2*(4*l + 1)/3
Let q(s) = s**2 - 15*s + 31. Let g be q(7). Let i = g - -27. Factor 3/5 + 6/5*l + 3/5*l**i.
3*(l + 1)**2/5
Solve 0*n - 1/2*n**3 + 0 - 7/2*n**2 = 0.
-7, 0
Let d(k) be the third derivative of k**5/70 - k**4/28 - 6*k**3/7 + 133*k**2. Factor d(u).
6*(u - 3)*(u + 2)/7
Let g be (5 - 0) + (1 - (9 + (-108)/30)). Solve 1/5*x**2 - 4/5 + g*x = 0 for x.
-4, 1
Suppose 0 = -4*h + 12. Suppose 36 = -h*j + 9*j. Factor -5*m**2 - 4*m**2 + 3 + m**3 - 4*m**3 - j - 9*m.
-3*(m + 1)**3
Let t be (3/6)/((4 + -3)/2). Suppose -7 = -4*p + 5. Suppose -t - u**2 + 3/2*u**p - 7/2*u = 0. Calculate u.
-1, -1/3, 2
Let b(h) = 2*h**3 - 7*h**2 - 51*h - 39. Let n(c) = c**3 + 2*c**2 - c - 1. Let j(d) = -b(d) + 3*n(d). Factor j(v).
(v + 1)*(v + 6)**2
Let k(x) be the first derivative of -x**6/24 + 2*x**5/5 + 5*x**4/4 + x**3/6 - 19*x**2/8 - 5*x/2 - 76. Solve k(w) = 0 for w.
-1, 1, 10
Let k be ((-34)/(-119))/((-4)/(-7)). Let f(s) be the second derivative of -1/24*s**4 + 0 - s + 1/4*s**3 - k*s**2. Determine t, given that f(t) = 0.
1, 2
Factor 1/2*x**3 - 1/2*x**2 - 2*x + 2.
(x - 2)*(x - 1)*(x + 2)/2
Let x(c) = -3*c**3 + 28*c**2 - 27*c - 50. Let y(u) = -12*u**3 + 111*u**2 - 108*u - 201. Let w(k) = -15*x(k) + 4*y(k). Factor w(q).
-3*(q - 6)*(q - 3)*(q + 1)
Let f be (8/(-5))/(-6 + (-112)/(-20)). Solve -7*q**2 - 45*q**f - 30*q**3 + 17*q**2 + 21*q**2 + 10*q - 6*q**2 = 0 for q.
-1, -1/3, 0, 2/3
Let v(l) be the second derivative of l**7/945 + l**6/270 - 5*l**2 - 3*l. Let k(p) be the first derivative of v(p). Determine u so that k(u) = 0.
-2, 0
Let q be (6/(-16))/((-38)/4 - -8). Let 7/4*l + 5/4*l**2 + q*l**3 + 3/4 = 0. Calculate l.
-3, -1
Let i(m) be the second derivative of -1/12*m**4 + 0*m**2 - 10*m - 5/6*m**3 + 0. Factor i(x).
-x*(x + 5)
Let k be 2016/(-78) + 2/(-13). Let r(w) = w**4 + 5*w**3 - 6*w**2 + 3*w. Let a(m) = 4*m**4 + 21*m**3 - 25*m**2 + 13*m. Let g(p) = k*r(p) + 6*a(p). Factor g(f).
-2*f**2*(f - 1)*(f + 3)
Let r be (-97)/679*(-105)/5. Find q such that -24/13 + 8/13*q + 2/13*q**4 - 12/13*q**r + 18/13*q**2 = 0.
-1, 2, 3
Let m(i) be the second derivative of 0*i**3 - 1/100*i**5 + 1/30*i**4 + 0 + 0*i**2 + 21*i - 1/150*i**6. Suppose m(b) = 0. Calculate b.
-2, 0, 1
Let c(y) be the first derivative of 5*y**4/4 - 190*y**3/3 + 990*y**2 - 3240*y - 300. Suppose c(l) = 0. What is l?
2, 18
Let x be (-18)/(-54) - 31/(-15). Determine h so that -1/5*h**4 + x*h - 4/5 + 6/5*h**3 - 13/5*h**2 = 0.
1, 2
Let a(r) be the third derivative of -r**6/24 + 4*r**5/15 + 17*r**4/24 - 2*r**3/3 - 5*r**2 + 6*r. Find z such that a(z) = 0.
-1, 1/5, 4
Suppose 13*k - 10 = 8*k. Let s(f) be the third derivative of -4/15*f**3 - 1/50*f**5 + 0*f + 0 + 2/15*f**4 + k*f**2. Factor s(w).
-2*(w - 2)*(3*w - 2)/5
Let c(h) = -4*h**3 - 5*h**3 - 2*h**4 + 3*h**3 - 4*h**2 + 3. Let g(v) = -4*v**4 - 12*v**3 - 8*v**2 + 5. Let a(p) = 5*c(p) - 3*g(p). What is s in a(s) = 0?
-2, -1, 0
Factor -24*d - 12*d**2 - 11*d**3 - 16 - 7*d**3 - 7*d**3 + 23*d**3.
-2*(d + 2)**3
Let f(n) be the second derivative of n**5/40 - 11*n**4/12 + 35*n**3/3 - 50*n**2 - 145*n. Solve f(r) = 0 for r.
2, 10
Find c, given that -16/7*c**2 - 20/7*c + 0 + 4/7*c**3 = 0.
-1, 0, 5
Suppose 2*r - 3*z - 16 - 3 = 0, -3*r + 4*z + 26 = 0. Factor 0*f**4 + f**2 + 2*f**2 - f**r - 2*f**4.
-2*f**2*(f - 1)*(f + 1)
Let c be -3*12*4/(-18). Let n(p) be the first derivative of c*p - 1/4*p**4 + 2*p**2 + 6 - 2/3*p**3. Solve n(r) = 0.
-2, 2
Let y(u) be the second derivative of -55*u**4/12 + 15*u**3/2 + 5*u**2 - 176*u. Factor y(j).
-5*(j - 1)*(11*j + 2)
Let x(r) = r**5 + 3*r**4 - 3*r**3 + 3*r**2. Let z(o) = -9*o**5 - 24*o**4 + 24*o**3 - 25*o**2. Let q(v) = -51*x(v) - 6*z(v). Suppose q(f) = 0. Calculate f.
0, 1
Let p(v) be the third derivative of -v**8/4480 - v**7/840 - v**6/480 + 3*v**4/8 + 21*v**2. Let z(c) be the second derivative of p(c). Factor z(t).
-3*t*(t + 1)**2/2
Let g(v) be the third derivative of 0 - 1/105*v**7 + 2*v**4 - 1/10*v**6 - 1/30*v**5 - 21*v**2 - 16/3*v**3 + 0*v. Determine k so that g(k) = 0.
-4, 1
Let v(y) = y**5 - 3*y**4 + 37*y**3 - 5*y**2 - 5*y. Let l(x) = -4*x**4 + 36*x**3 - 4*x**2 - 4*x. Let b(p) = 5*l(p) - 4*v(p). Factor b(g).
-4*g**3*(g - 2)*(g + 4)
Find i such that 100*i**4 - 297*i**4 - 3 - 6*i**2 + 100*i**4 + 8*i + 98*i**4 = 0.
-3, 1
Let g be -3 - (-6 - 203/(-70)). Let r(b) be the first derivative of 0*b + g*b**4 + 0*b**3 - 1/5*b**2 - 2. Factor r(m).
2*m*(m - 1)*(m + 1)/5
Suppose -m = -3*m. Suppose 2*h + 4*t - 14 = m, t - 26 + 9 = -5*h. Determine f, given that -6*f + 10*f**h - 3 - 1 - 8*f**3 = 0.
-1, 2
Suppose 0 = 4*n - 7 - 65. Let u = -15 + n. Determine v so that 0*v**5 - 7*v**2 - 6*v + 4 - v**2 - 6*v**5 + 4*v**4 + 12*v**u = 0.
-1, 2/3, 1
Suppose -3