*j**5 + j**3 + 7/3*j**z = 0 for j.
-3, -2, 0, 1
Factor -62/11*p**2 - 2/11*p**3 + 458/11*p + 518/11.
-2*(p - 7)*(p + 1)*(p + 37)/11
Suppose 4*f - 102 = -o - 65, -2*o + 46 = f. Let l be (38 - 39)/((-2)/o). Let 15 + 3/2*c**2 + l*c = 0. Calculate c.
-5, -2
Let p(h) = h**3 - 24*h**2 + 2*h - 46. Let t be p(24). Let c be 17/136*(t + 0). Factor -1/4 + c*a**2 + 0*a.
(a - 1)*(a + 1)/4
Let y(t) = -52*t + 13. Let j be y(2). Let r be -2*(5/(-7) - (-26)/j). Let 11/6*b - 17/6*b**r - 1/3 - 4/3*b**5 + 10/3*b**4 - 1/3*b**3 = 0. What is b?
-1, 1/2, 2
Factor 9/7*x**2 - 3 + 1/7*x**3 + 11/7*x.
(x - 1)*(x + 3)*(x + 7)/7
Let z = 23 - 19. Suppose -i = -z + 1. Factor -9*v**3 + 0*v**i - v**3 - 3*v**4 + 4*v**3 - 3*v**2.
-3*v**2*(v + 1)**2
Suppose -212/21*z**2 + 80/21*z**4 + 152/21*z - 2/3*z**5 - 62/21*z**3 + 208/21 = 0. Calculate z.
-1, 2, 26/7
Let n(c) be the first derivative of 3*c**4/10 - 596*c**3/15 - 599*c**2/15 - 40*c/3 + 1606. Determine v, given that n(v) = 0.
-1/3, 100
Let g(w) be the second derivative of -29/6*w**3 - 13/12*w**4 - 6*w - 4 + 1/20*w**5 - 15/2*w**2. Factor g(p).
(p - 15)*(p + 1)**2
Let b(i) = 2*i**3 - 9*i**2 - 2*i - 11. Let h be b(5). Determine c, given that -2346 - 84*c**2 - h*c**3 - 2345 + 4691 = 0.
-21, 0
Let a(m) be the first derivative of -m**4/8 + 181*m**3/6 - 1978*m**2 - 12696*m - 797. Factor a(k).
-(k - 92)**2*(k + 3)/2
Let -340 - 42*o**2 + 724 - 799*o**3 + 120*o + 796*o**3 = 0. What is o?
-16, -2, 4
Let u = 431563/111 + -3888. Let w = u - -14/37. Factor 0 + 0*c - w*c**2.
-c**2/3
Let x(b) be the second derivative of -9*b + 1 - 5/27*b**4 + 0*b**2 + 8/27*b**3 + 1/135*b**6 + 1/90*b**5. Find r such that x(r) = 0.
-4, 0, 1, 2
Let q = -55074 - -440601/8. Determine u, given that 0 + q*u**5 - 3/2*u**4 - 3/2*u + 6*u**2 - 33/8*u**3 = 0.
-2, 0, 1/3, 1, 2
Let j be ((-583)/44 + 12)*(-128)/40. Factor 4*q**2 + 2/3*q**j + 2/3 + 8/3*q**3 + 8/3*q.
2*(q + 1)**4/3
Let s(u) = -16*u**2 - 943*u + 62. Let t be s(-59). Let g(f) be the first derivative of 3/4*f**2 + 1/4*f**t + 3/4*f + 9. Determine p, given that g(p) = 0.
-1
Suppose 3027*a + 1728 = 3099*a. Let v(o) be the third derivative of -1/42*o**4 - a*o**2 - 1/7*o**3 + 1/210*o**5 + 0*o + 0. Factor v(b).
2*(b - 3)*(b + 1)/7
Let q(u) be the third derivative of 0*u**3 + 0*u**4 + 2 - 67*u**2 + 1/84*u**5 + 1/840*u**6 + 0*u. Determine b, given that q(b) = 0.
-5, 0
Suppose -13*d - 17*d = -d + 55*d. Suppose d - 5/2*m**2 + 0*m**4 + 5/4*m**5 + 0*m - 15/4*m**3 = 0. What is m?
-1, 0, 2
Let k = 134 + -132. Solve -19*d**4 + 24*d - k*d**3 - 15*d**4 + 32*d**4 + 16*d**2 = 0.
-2, 0, 3
Let d(k) be the third derivative of -1/220*k**6 - 1/110*k**5 + 2 + 0*k**3 - 1/1155*k**7 - 1/132*k**4 + 0*k - 8*k**2. Let d(v) = 0. Calculate v.
-1, 0
Let n(f) = -f**2 + 35*f + 1. Let h(g) = g**2 - 371*g - 2. Let d(q) = h(q) + 2*n(q). Solve d(u) = 0.
-301, 0
Let a(w) be the third derivative of 13*w**7/2100 - 127*w**6/400 + 2651*w**5/600 + 143*w**4/16 - 15*w**3 - 6427*w**2. Determine b, given that a(b) = 0.
-1, 4/13, 15
Let u = 264 + -217. Suppose -4*m**2 + u + 253*m + 1 - 249*m = 0. Calculate m.
-3, 4
Let f = 1799809/48 - 37496. Let b(u) be the second derivative of 0 - 3/10*u**6 - 39*u + 3/20*u**5 + 0*u**3 - f*u**4 + 0*u**2. Suppose b(d) = 0. What is d?
0, 1/6
Let k(m) be the first derivative of -m**4/14 + m**3/7 + 18*m**2/7 - 100*m - 2. Let w(i) be the first derivative of k(i). Suppose w(y) = 0. Calculate y.
-2, 3
Suppose -78*v + 69*v - 28 = -208. Let t(r) be the second derivative of -r**4 + 0*r**2 + 0 + 1/2*r**3 - v*r + 9/20*r**5. Solve t(q) = 0 for q.
0, 1/3, 1
Let x = 571 + -568. Factor -l**3 + 0*l**x + 19*l**2 - 4*l - 24*l**2.
-l*(l + 1)*(l + 4)
Factor 481*w - 229*w + 353*w + 1045*w - 3*w**2.
-3*w*(w - 550)
Let r(s) be the first derivative of s**6/6 + 6*s**5/5 + 11*s**4/4 + 2*s**3 + 1236. Let r(m) = 0. Calculate m.
-3, -2, -1, 0
Let x = -1/37611 - -75227/188055. Suppose 0*h + 0 - 16/5*h**3 + 0*h**2 + x*h**4 = 0. Calculate h.
0, 8
Suppose 0 = -3*n + 5*s - 6*s + 19, 2*n + 3*s - 22 = 0. What is d in -n + 9*d**3 - 13*d**3 - 16*d + 2 - 8*d**2 - 9*d**2 = 0?
-3, -1, -1/4
Let d = -8435/18 + 2813/6. Let b(o) be the second derivative of -1/36*o**6 + 0*o**2 + d*o**3 - 23/72*o**4 + 7/40*o**5 - 4*o + 0 - 1/252*o**7. Factor b(l).
-l*(l - 1)**3*(l + 8)/6
Let h(d) be the first derivative of -7/16*d**3 - 9/16*d**2 + d - 3/160*d**5 + 5 - 5/32*d**4. Let g(q) be the first derivative of h(q). Factor g(j).
-3*(j + 1)**2*(j + 3)/8
Let n(d) be the second derivative of d**7/840 - d**6/360 - d**5/60 - 43*d**3/2 - 28*d - 2. Let w(u) be the second derivative of n(u). Factor w(h).
h*(h - 2)*(h + 1)
Let w(d) be the first derivative of 4*d**5/5 + 11*d**4 + 152*d**3/3 + 80*d**2 + 9839. Factor w(t).
4*t*(t + 2)*(t + 4)*(t + 5)
Let r(d) = -3*d**3 - 1989*d**2 + 12043*d - 18129. Let k(s) = 230*s**3 + 153155*s**2 - 927310*s + 1395930. Let q(z) = -2*k(z) - 155*r(z). Factor q(a).
5*(a - 3)**2*(a + 403)
Let g(b) be the third derivative of 0*b + 5*b**3 - 1/8*b**6 + b**2 + 1/42*b**7 + 35/24*b**4 - 1/4*b**5 + 45. Factor g(q).
5*(q - 3)*(q - 2)*(q + 1)**2
Let s(r) be the second derivative of 91*r**5/10 + 25*r**4/2 - 28*r**3/3 - 12*r**2 + 437*r. Factor s(i).
2*(i + 1)*(7*i + 2)*(13*i - 6)
Factor -57*n**3 - 1440*n + 161*n**3 - 54*n**3 - 198*n**2 + 57835 - 53*n**3 + 9365.
-3*(n - 14)*(n + 40)**2
Let g(h) = 40*h**5 - 74*h**4 + 42*h**3 + 4*h - 10. Let a(b) = b**5 + 2*b**4 + b**2 + 2*b - 5. Let n(j) = -2*a(j) + g(j). Factor n(m).
2*m**2*(m - 1)**2*(19*m - 1)
What is y in 3*y**3 - 687*y**2 - 211146*y + 103708*y + 148430*y - 188160 = 0?
5, 112
Let l(b) be the second derivative of 2*b**7/315 - 49*b**6/360 + 13*b**5/15 - b**4/2 + 30*b**2 - 25*b + 1. Let t(a) be the first derivative of l(a). Factor t(u).
u*(u - 6)**2*(4*u - 1)/3
Let i = -2/4231 + 4235/8462. Let -i*m**2 - 2*m - 2 = 0. Calculate m.
-2
Let o(h) = -17*h**2 - 33*h + 1064. Let n be o(7). Factor 8/7*a + 2/7*a**2 + n.
2*a*(a + 4)/7
Let h(w) be the second derivative of 0*w**2 + 2*w + 1/16*w**4 + 0*w**3 - 1/80*w**5 + 110. Let h(m) = 0. Calculate m.
0, 3
Factor -8*w**2 + 6*w**2 - w - 5*w.
-2*w*(w + 3)
Let s(t) be the third derivative of t**6/180 + 41*t**5/90 + 143*t**4/36 - 185*t**3/9 - 847*t**2. Find y such that s(y) = 0.
-37, -5, 1
Let i**4 + 150*i**2 + 226*i - 49*i**2 + 170*i - 56*i**3 + i**4 + 237*i**2 = 0. Calculate i.
-1, 0, 11, 18
Suppose -3*x - 33 = -6*x. Suppose -x = -5*r + n, r = -r - 3*n + 1. Factor -20*u**2 + 52*u**r - 20*u**2 + 8*u - 16*u**2.
-4*u*(u - 2)
Let c(r) = 15*r**4 - 73*r**3 - 18*r**2 + 16*r. Let o(v) = -14*v**4 + 80*v**3 + 18*v**2 - 16*v. Let y(j) = -2*c(j) - 3*o(j). Find q such that y(q) = 0.
-1/2, 0, 1/3, 8
Let i(a) be the first derivative of -4*a**5/5 + 31*a**4 - 448*a**3/3 + 216*a**2 - 699. Solve i(n) = 0.
0, 2, 27
Let l be ((-136)/(-51))/(((-12)/(-32) + -3)/(24/(-32))). Determine j, given that 0 - 2/21*j**3 + 0*j + 2/21*j**5 - l*j**2 + 16/21*j**4 = 0.
-8, -1, 0, 1
Let m(y) be the first derivative of 133 + 1/21*y**3 - y**2 - 15/7*y. Determine b so that m(b) = 0.
-1, 15
What is r in -40/19*r**2 - 16/19*r**3 - 32/19*r + 0 - 2/19*r**4 = 0?
-4, -2, 0
Suppose 4*k - 68 = -h + 9, -2*k = -3*h + 175. Suppose -6 = h*p - 128. Find a such that 35/4*a - 5/4*a**p - 15 = 0.
3, 4
Let r(z) = 3*z**5 - 9*z**4 + 9*z**3 - 15*z**2 + 9*z - 18. Let k(y) = -2*y**5 + 5*y**4 - 4*y**3 + 9*y**2 - 5*y + 10. Let u(t) = 9*k(t) + 5*r(t). Solve u(m) = 0.
-1, 0, 2
What is i in 72/11 - 6/11*i**3 + 24/11*i - 18/11*i**2 = 0?
-3, -2, 2
Suppose 0 = 30*s - 44*s + 28. Suppose 3*y + 1 - 8*y + 4*y**s - 5*y + 10*y**3 + 0*y - 5 = 0. Calculate y.
-1, -2/5, 1
Let w(f) be the third derivative of f**6/30 + 1413*f**5/5 + 1996569*f**4/2 + 1880767998*f**3 - 2*f**2 + 775. Find z such that w(z) = 0.
-1413
Let k(r) be the second derivative of -169*r**6/90 - 52*r**5/5 - 24*r**4 - 79*r**3/6 + r + 50. Let y(d) be the second derivative of k(d). Factor y(h).
-4*(13*h + 12)**2
Let f(a) = -a**5 + a**4 + a**3 - a**2 - 1. Let z(s) = -9*s**5 + 39*s**4 - 135*s**3 + 285*s**2 - 288*s + 102. Let r(h) = -6*f(h) + z(h). What is m in r(m) = 0?
1, 2, 3
Let z be (1 - (3 - -2)) + 0 + 8. Factor 30 - z*h + 3*h**2 + 39*h + 2*h**2.
5*(h + 1)*(h + 6)
Suppose -5*o + 14*o - 6*o = 0. Suppose -5*h - 16*g + 18*g - 6 = o, -4*h - g = -3. Factor 1/4*x**2 + h*x + 0.
x**2/4
Solve 2/7*m**4 - 768/7*m**2 