y**d - 2/7*y**2 - 2*y**3 - 16/7*y**4 + 0*y = 0. What is y?
-1/4, 0, 1
Let f(w) be the second derivative of -w**5/150 + w**4/30 - 4*w**2/15 + 2*w - 1198. Suppose f(p) = 0. Calculate p.
-1, 2
Factor 26/7*o**3 - 72/7 - 74/7*o**2 - 480/7*o.
2*(o - 6)*(o + 3)*(13*o + 2)/7
Let t(w) be the third derivative of w**8/126 + 337*w**7/315 - 267*w**6/20 + 543*w**5/10 - 273*w**4/4 + 4*w**2 - 7*w + 36. Suppose t(g) = 0. Calculate g.
-91, 0, 3/4, 3
Factor 2/13*r**2 - 36/13*r + 90/13.
2*(r - 15)*(r - 3)/13
Let r be (8/20)/(5/525). Let i = 797 - 500. Determine x, given that i - r + 4*x**2 + 219 - 88*x + 10 = 0.
11
Suppose 27 = 68*g + 12*g - 133. Find d, given that 1/4*d**2 + 4 - g*d = 0.
4
Let r(s) = -2*s**2 - 254*s - 220. Let q(g) = 2*g**2 + 257*g + 215. Let j(a) = 4*q(a) + 5*r(a). Let j(i) = 0. Calculate i.
-120, -1
Suppose -200/3*m + 50/3*m**3 + 16/3 - 8*m**4 + 92/3*m**2 = 0. What is m?
-2, 1/12, 2
Let d(l) = -l**2 + 16*l + 35. Let h be d(22). Let b = h + 101. Factor 11*o**4 - 18*o**b - o**3 + 8*o**4.
o**3*(o - 1)
Let g be (-33 - 7 - -16)/(-8). Factor -3/2*i**2 + 0 + g*i - 3/2*i**3.
-3*i*(i - 1)*(i + 2)/2
Suppose -8*g + 115*g = -7 + 102 + 226. What is s in -249/7*s + 12*s**4 - 30/7 - 594/7*s**2 - 291/7*s**g = 0?
-1, -2/7, -1/4, 5
Let p(t) be the first derivative of -4*t**3/3 + 432*t**2 - 1342. Factor p(j).
-4*j*(j - 216)
Factor 550 - 166 - 11*v**2 + 3*v**2 - 128*v + 4*v**3.
4*(v - 4)**2*(v + 6)
Let i(r) be the first derivative of 15*r**3 + 70*r + 93 + 115/2*r**2. Factor i(y).
5*(y + 1)*(9*y + 14)
Let n(k) be the first derivative of -13*k**3/3 + 25*k**2/2 + 55*k + 108. Let r(g) = -3*g**2 + g + 1. Let y(v) = n(v) - 5*r(v). Factor y(p).
2*(p + 5)**2
Let v(u) = -2*u**3 + 998*u**2 + 4008*u + 3980. Let r(h) = -10*h**3 + 4990*h**2 + 20042*h + 19911. Let b(k) = 4*r(k) - 19*v(k). What is n in b(n) = 0?
-2, 503
Let q(r) be the third derivative of r**8/448 + r**7/20 - 7*r**6/32 - r**5/2 + 31*r**4/8 - 8*r**3 + 4598*r**2. Solve q(z) = 0.
-16, -2, 1, 2
Let o(m) be the third derivative of -9*m**7/70 - 3*m**6 + 371*m**5/20 - 103*m**4/4 + 16*m**3 + 465*m**2. Suppose o(c) = 0. Calculate c.
-16, 1/3, 2
Let o = 6711 - 6711. Let g(z) be the second derivative of -9*z**4 + 17*z + 8/7*z**7 + 0 + 291/20*z**5 - 36/5*z**6 + o*z**2 + 2*z**3. Factor g(k).
3*k*(k - 2)**2*(4*k - 1)**2
Factor 70/9 - 68/9*a - 2/9*a**2.
-2*(a - 1)*(a + 35)/9
Let x be (-8)/3 - (-4)/6. Let u(p) = 3*p**2 + 3*p - 4. Let f be u(x). Factor -11*k**f + 102*k**2 - 32*k**3 - 4*k**3 - 192*k + 53*k**2 + 3*k**4.
3*k*(k - 4)**3
Let d(r) = 3*r**4 + 275*r**3 + 265*r**2 - 263*r - 280. Let g(o) = o**3 + 2*o**2 - 4*o + 1. Let z(v) = d(v) + 4*g(v). Solve z(h) = 0 for h.
-92, -1, 1
Let t(i) be the second derivative of -1/80*i**6 + 85*i + 3/32*i**5 - 1/16*i**4 - 1/2*i**3 + 0*i**2 + 0. Factor t(w).
-3*w*(w - 4)*(w - 2)*(w + 1)/8
Let 57584/5*p - 4/5*p**4 - 55696/5 + 488/5*p**3 - 15828/5*p**2 = 0. Calculate p.
2, 59
Factor -135805*n + 986526*n**2 - 2*n**3 - 984836*n**2 - 3*n**3 - 1197160.
-5*(n - 173)**2*(n + 8)
Factor 50 - 177*u**2 + 22*u**2 + 4137*u - 4622*u + 50*u**3.
5*(u - 5)*(u + 2)*(10*u - 1)
Let l(r) = r**3 - 3*r**2 - 18*r + 63. Let o be l(4). Suppose -3*w = 5*m, -6*m = w - o*m. Find h such that w - 3/2*h - h**2 = 0.
-3/2, 0
Suppose -297*n**2 + 45*n**4 - 16*n**3 + 317*n**2 - 13*n**3 - 71*n**3 = 0. Calculate n.
0, 2/9, 2
Let x(h) be the third derivative of h**6/30 - 4*h**5 - 42*h**4 - 512*h**3/3 - 206*h**2. Solve x(t) = 0.
-2, 64
Let x(c) be the second derivative of c**7/30 - 13*c**6/180 - c**5/45 - 9*c**4 - 76*c. Let y(l) be the third derivative of x(l). Suppose y(n) = 0. Calculate n.
-1/21, 2/3
Suppose 21*b + 10 = 23*b. Let x(s) = s**2 + s - 1. Let r(k) = -5*k**2 - 12*k + 15. Let d(h) = b*r(h) + 30*x(h). Determine y so that d(y) = 0.
3
Suppose -59 = 5*t + 6. Let s = -13 - t. Determine a, given that -1/4*a**2 + 1/2*a + s = 0.
0, 2
Let h(q) = 2*q**5 + q**3 + 5*q - 1. Let b(g) = 7*g**5 + 3*g**4 - 6*g**3 + 5*g**2 + 15*g - 3. Let a(w) = -4*b(w) + 12*h(w). What is f in a(f) = 0?
-5, 0, 1
Let q(y) be the first derivative of y**4/20 + 8*y**3/5 - 51*y**2/10 - 147*y + 12. Let p(x) be the first derivative of q(x). Suppose p(n) = 0. What is n?
-17, 1
Suppose -3*w = 4*f - 77, -2*w - f - 3*f + 50 = 0. Suppose -w*m - 16 = -70. Determine a so that -a + 3/2 + 1/6*a**m = 0.
3
Let p(a) be the second derivative of -9/2*a**3 + 0*a**2 + 0 - 5/6*a**4 - 5/24*a**5 - 1/72*a**6 + a. Let q(j) be the second derivative of p(j). Factor q(m).
-5*(m + 1)*(m + 4)
Let m(x) be the first derivative of 47 - 4/3*x**3 - 56*x**2 - 784*x. Factor m(v).
-4*(v + 14)**2
Let a(o) be the third derivative of 1/40*o**5 - 3*o**3 - 1/16*o**4 + 2*o**2 + 0 - 13*o. Factor a(j).
3*(j - 4)*(j + 3)/2
Let v = 15 + -12. What is z in -7*z**2 + 2 + 12*z - 49*z - 9*z**v + 9*z**4 + 21*z + 21*z = 0?
-2/3, -1/3, 1
Let k(j) be the second derivative of -19/3*j**3 - 2 - 5*j**2 - 17/10*j**5 - 4/15*j**6 + 16*j - 9/2*j**4. Solve k(b) = 0 for b.
-5/4, -1
Find c, given that 9 + 588*c**3 + 122*c**4 - 241*c - 2*c**2 + c**5 - 348*c**3 - 47 - 82 = 0.
-120, -1, 1
Let u = 629/3045 - 4/609. Let a(q) be the first derivative of -4/3*q**3 + 10 + 0*q**2 + 0*q**4 + u*q**5 + 0*q. Factor a(v).
v**2*(v - 2)*(v + 2)
Let k = 224 - 222. Factor -4*i**2 - 2408*i - k + 2 + 2352*i.
-4*i*(i + 14)
Let s(p) be the second derivative of -p**4/42 - 76*p**3/21 + 83*p**2 + 4246*p + 1. Find f such that s(f) = 0.
-83, 7
Let p(a) be the second derivative of 0*a**4 - 1/6*a**2 + 1/9*a**3 + 1/90*a**6 + 2 - 1/30*a**5 + 3*a. Factor p(l).
(l - 1)**3*(l + 1)/3
Let i(k) = k**3 + 13*k**2 - 61*k - 721. Let u be i(-13). Let o(z) be the first derivative of -12*z**2 + u*z + 19 + 2/3*z**3. Determine m so that o(m) = 0.
6
Suppose -f - k + 22 = 0, 6*f - k = 2*f + 98. Let r be 1/f*231 - 7. Factor 343/8 + r*m**2 - 1/8*m**3 - 147/8*m.
-(m - 7)**3/8
Factor 0 + 4*x + 2/5*x**2.
2*x*(x + 10)/5
Let i(n) = 15*n**2 - 54*n - 144. Let w(b) = -7*b**2 - 2 + 5*b**2 + b - 2*b + 3*b**2. Let a(c) = i(c) - 18*w(c). Factor a(z).
-3*(z + 6)**2
Let k(c) be the third derivative of 0*c + 8 + 1/1260*c**7 - 5*c**2 + 1/90*c**5 - 1/144*c**6 + 0*c**3 + 0*c**4. Find m, given that k(m) = 0.
0, 1, 4
Let b(y) be the second derivative of -y**5/25 - 5*y**4/3 + 496*y**3/15 - 1056*y**2/5 + 4*y - 86. Determine i, given that b(i) = 0.
-33, 4
Factor -2*t - 2/5*t**2 + 12/5.
-2*(t - 1)*(t + 6)/5
Let l(r) be the first derivative of -2*r**3/9 + r**2 + 80*r/3 - 1552. Find d, given that l(d) = 0.
-5, 8
Let a = -12/512065 + 8193076/1536195. Factor a*s - 4/3*s**2 - 2/3*s**4 + 0 - 10/3*s**3.
-2*s*(s - 1)*(s + 2)*(s + 4)/3
Let w(x) be the first derivative of 0*x**2 - 7/15*x**5 - x**3 - 5/4*x**4 - 84 + 0*x - 1/18*x**6. Find n such that w(n) = 0.
-3, -1, 0
Let p(m) be the third derivative of -65*m**2 + 0 - 1/12*m**4 + 0*m + 1/840*m**8 + 4/525*m**7 + 1/75*m**6 - 2/15*m**3 - 1/75*m**5. Solve p(o) = 0.
-2, -1, 1
Let w = -40 + 102. Factor -63*i + 42*i**4 - 20*i**4 - 98*i**2 - 2*i**4 + 81 + i**5 + w*i**3 - 3*i**4.
(i - 1)**2*(i + 1)*(i + 9)**2
Let j be (11/4)/1*(-4657 + 4659). Suppose 1 - 15/2*p**3 - 14*p**2 - j*p = 0. Calculate p.
-1, 2/15
Let w = 491658 + -491656. Find j such that -40/3*j - 1/6*j**w - 800/3 = 0.
-40
Let v(r) = -r**3 - 31*r**2 - 30*r. Let z(y) = 12*y**2 + 33*y**2 - 30*y - 74*y**2 - y**2. Let q(f) = -3*v(f) + 2*z(f). Factor q(d).
3*d*(d + 1)*(d + 10)
Let t(r) be the second derivative of r**4/48 - 235*r**3/24 + 2075*r. Solve t(a) = 0.
0, 235
Let d(r) be the first derivative of -r**3/3 + 2*r + 41. Let f(z) = -9*z**2 - 36*z - 62. Let n(j) = -5*d(j) + f(j). Find o, given that n(o) = 0.
-6, -3
Let p be (-1)/(55/10 + -6). Let z(f) = 19*f**2 - 55*f - 144. Let b(o) = -6*o**2 + 18*o + 48. Let i(c) = p*z(c) + 7*b(c). Find k such that i(k) = 0.
-2, 6
Let b be (304/95)/((-225)/(-125)). Factor b + 7396/9*n**2 - 688/9*n.
4*(43*n - 2)**2/9
Let w(b) = b**3 - b**2 + b - 1. Let a(j) = -4*j**3 + 26*j**2 + 115*j + 105. Let d = -30 - -20. Let z(i) = d*w(i) - 2*a(i). Solve z(v) = 0.
-10, -1
Let w(m) = -59*m - 145. Let n be w(7). Let u = -2229/4 - n. Factor -3/4*a**4 + 0*a + 3/2*a**3 + 0 - u*a**2.
-3*a**2*(a - 1)**2/4
Let p(q) be the third derivative of 46*q**2 - 5/24*q**5 + 35/48*q**4 + 0*q + 0*q**3 + 0. Factor p(b).
-5*b*(5*b - 7)/2
Suppose 6*u + 106*r = 111*r - 51, -3*r = -5*u - 25. Solve 2/11*v**3 