936/5 - 1386. Let -21/5*v**5 + 0 - g*v**3 + 0*v**2 + 27/5*v**4 + 0*v = 0. Calculate v.
0, 2/7, 1
Suppose 197*q - 274 = 453 + 61. Suppose 0*y - 3*y = 0. Factor -2/9*w**q + 2/3*w**2 + 0*w**3 + y + 4/9*w.
-2*w*(w - 2)*(w + 1)**2/9
Factor 2*h**2 - 110 + 27*h - 8*h - 41*h + 34*h.
2*(h - 5)*(h + 11)
Let 1/5*c**2 + 0*c + 1/5*c**4 + 0 + 2/5*c**3 = 0. Calculate c.
-1, 0
Suppose 9*t + 62*t + t - 12*t**2 - 52*t**3 - 10*t**5 + 28*t**4 + 6*t**5 = 0. What is t?
-1, 0, 2, 3
Suppose -3*j + m + 4 = 0, 69*m - 28 = -j + 64*m. Let 0*d - d**j - d**2 + 55/4*d**4 + 7*d**5 + 0 = 0. What is d?
-2, -1/4, 0, 2/7
Suppose -w - 5*f + 5 = 0, 3*w + 2*f = w + 10. Suppose p - w = -2*b, -4*p = -5*b + 10 + 35. Suppose o - 2/3*o**4 - 2/3 - 2*o**3 + 4/3*o**2 + o**b = 0. What is o?
-1, 2/3, 1
Let x be 18/(-3)*1/2. Let q = 5 + x. Factor 5*m**2 - 4*m + 0*m**2 - 8 - m**q.
4*(m - 2)*(m + 1)
Let h(z) be the third derivative of -8*z**7/105 - z**6/2 + 16*z**5/3 - 25*z**4/2 + 28*z**3/3 + 133*z**2 - 2. What is p in h(p) = 0?
-7, 1/4, 1, 2
Let v be 174/261*3/(-21)*(-14)/4. Factor -4/3*b + v*b**2 + 1.
(b - 3)*(b - 1)/3
Let z(p) = -8*p**2 - 6*p + 11. Let x(g) = g**2 - g**2 - 3*g**2 + 5 - 2*g - 1. Let n(f) = -11*x(f) + 4*z(f). Factor n(t).
t*(t - 2)
Let d(p) be the first derivative of -p**4 - 36*p**3 - 102*p**2 - 100*p + 73. Factor d(r).
-4*(r + 1)**2*(r + 25)
Let f(h) be the second derivative of h**5/5 - h**4/12 - 8*h**3/3 + 2*h**2 - 13*h + 4. Suppose f(k) = 0. Calculate k.
-2, 1/4, 2
Let n(b) be the second derivative of -3*b**5/20 + 3*b**4/4 + 59*b. Factor n(p).
-3*p**2*(p - 3)
Let h(i) be the second derivative of i**6/165 - 4*i**5/55 + i**4/3 - 8*i**3/11 + 9*i**2/11 - i + 11. Factor h(b).
2*(b - 3)**2*(b - 1)**2/11
Let g(l) be the second derivative of -l**5/5 + 5*l**4/3 - 8*l**3/3 - 103*l. Factor g(u).
-4*u*(u - 4)*(u - 1)
Let t(h) be the second derivative of -1/135*h**6 + 0*h**2 + 1/189*h**7 + 5/54*h**4 + 0 - 2/27*h**3 + 17*h - 1/30*h**5. Factor t(n).
2*n*(n - 1)**3*(n + 2)/9
Let k = 295 + -292. Determine h so that -5/2 - k*h - 1/2*h**2 = 0.
-5, -1
Let n = 8869561/840 - 10559. Let i(p) be the third derivative of 0*p**6 + 0*p - n*p**7 + 0*p**3 + 0*p**4 - 1/672*p**8 + 0*p**5 - 10*p**2 + 0. Factor i(x).
-x**4*(2*x + 1)/4
Let k(o) be the second derivative of -o**7/3 + 19*o**6/60 + 177*o**5/40 - 329*o**4/24 + 191*o**3/12 - 15*o**2/2 - 2*o - 141. Suppose k(x) = 0. What is x?
-3, 1/4, 1, 10/7
Factor -40/3*u - 8/9 - 50*u**2.
-2*(15*u + 2)**2/9
Factor -28*n**2 + 78*n**2 - 26*n**2 - 46 - 22*n**2 + 44*n.
2*(n - 1)*(n + 23)
Let d(p) = 24*p - 114. Let o be d(5). Let h(n) be the third derivative of 0*n + 0 + 0*n**3 + 1/15*n**5 + 0*n**4 + 1/30*n**o + 4*n**2. Factor h(f).
4*f**2*(f + 1)
Let o(x) = -x**3 - 10*x**2 - 9*x + 3. Let s be o(-9). Suppose -2*m + 5 + s = 0. Factor 12*b**3 + 2*b + 0*b**2 + 2*b**2 + b**m + 7*b**4 + 2*b**5 + 6*b**2.
2*b*(b + 1)**4
Let f(l) = 11*l**2 - 51*l + 54. Let u(h) = -3*h**2 + 17*h - 18. Let m(i) = -2*f(i) - 7*u(i). Solve m(o) = 0 for o.
-18, 1
Let p = 650/29 - 6358/87. Let x = p - -51. Suppose 0*q + 0 - x*q**2 = 0. Calculate q.
0
Let n(z) be the first derivative of z**7/105 + 3*z**6/140 + z**5/105 - 3*z**2 - 3. Let h(f) be the second derivative of n(f). Suppose h(w) = 0. What is w?
-1, -2/7, 0
Let n(x) be the third derivative of -x**6/60 - 3*x**5/5 - 11*x**4/4 - 16*x**3/3 + 176*x**2 - x. Factor n(w).
-2*(w + 1)**2*(w + 16)
Let c be ((792/55)/(-4) + 3)/(3/(-10)). Solve -12/7 + 16/7*p - 4/7*p**c = 0.
1, 3
Let r(w) be the second derivative of w**4/126 - 2*w**3/21 + 8*w**2/21 - 113*w. Factor r(v).
2*(v - 4)*(v - 2)/21
Let g(w) be the first derivative of -2 + 0*w**3 + 0*w**4 + 0*w**5 + 0*w + 0*w**2 + 2/3*w**6. Factor g(v).
4*v**5
Suppose 26 = 3*v + 4*f - 14, -5*v = 5*f - 65. Let m(p) = -p**2 - 5*p + 8. Let d be m(-6). Factor n + n + 11*n**2 - v*n**2 + 2*n**d.
n*(n + 2)
Suppose -2*h - z - 1 = 0, -19 = -5*h - 4*z - 29. Solve -1/7*w**h + 2/7 - 1/7*w = 0.
-2, 1
Let j(f) be the second derivative of 9*f + 1/42*f**4 + 2/21*f**3 + 0*f**2 + 0. Suppose j(h) = 0. What is h?
-2, 0
Let p = -5729/6 + 955. Let l(o) be the first derivative of -1/2*o**4 + 0*o**2 - 2 + p*o**6 + 0*o + 1/5*o**5 + 0*o**3. Let l(n) = 0. Calculate n.
-2, 0, 1
Let p(h) be the first derivative of 2*h**5/25 - h**4/20 - 2*h**3/15 + h**2/10 - 124. Factor p(f).
f*(f - 1)*(f + 1)*(2*f - 1)/5
Factor 51*o + 30/7*o**2 - 36/7.
3*(o + 12)*(10*o - 1)/7
Let n(y) be the first derivative of -y**8/12600 + y**7/6300 + 2*y**3/3 + 19. Let j(i) be the third derivative of n(i). Factor j(t).
-2*t**3*(t - 1)/15
Let b = -6330 + 6330. Let b + 2/5*u**3 + 0*u**2 + 0*u = 0. Calculate u.
0
Let u(j) = -5*j**5 - 15*j**4 + 180*j**3 + 190*j**2 - 5*j. Let x(v) = 3*v**5 + 8*v**4 - 91*v**3 - 96*v**2 + 2*v. Let q(g) = 2*u(g) + 5*x(g). Factor q(a).
5*a**2*(a - 4)*(a + 1)*(a + 5)
What is b in -308*b**3 + 739*b**2 + 160 + 1100*b + 63*b**3 + 1081*b**2 = 0?
-2/7, 8
Factor 2 - 24*o - 25*o**3 - 32*o + 28*o**2 + 30 + 49*o**3 - 28*o**3.
-4*(o - 4)*(o - 2)*(o - 1)
Let c = 182/3 - 60. Let b(v) be the first derivative of -8*v**2 + 8 + 32*v + c*v**3. Solve b(i) = 0.
4
Let w = 33 + -30. Let a be 4/(-36)*-1*w. Factor 1/3 + 2/3*d + a*d**2.
(d + 1)**2/3
Find j such that -2/11*j**4 + 26/11*j**2 - 24/11*j**3 + 0 + 0*j = 0.
-13, 0, 1
Suppose -5*d + s = 4*s - 1588, -3*s = -d + 332. Factor d*w - 310*w - 2*w**4 + 2*w**3 - 4*w**3 + 6*w**2 + 4.
-2*(w - 2)*(w + 1)**3
Let f = 7 + -8. Let a be (-7 + 12)*(f - -2). Find w, given that 4*w - w**4 - 2*w**a + 3*w**4 + w**2 + 6*w**3 - 7*w**2 - 4*w**2 = 0.
-2, 0, 1
Let m(i) be the third derivative of i**7/105 + 3*i**6/10 + 4*i**5 + 175*i**4/6 + 125*i**3 + 2*i**2 - 1. Factor m(p).
2*(p + 3)*(p + 5)**3
Suppose -8*y = -11*y + 9. Factor 8*k + 24*k**2 - 14*k**4 - 3*k**3 - 17*k**y + 2*k**3.
-2*k*(k - 1)*(k + 2)*(7*k + 2)
Let f be -7*(3/(-4) + (-940)/(-1680)). Let -f*h**4 + 28/3*h + 8 - 20/3*h**2 - 28/3*h**3 = 0. Calculate h.
-6, -1, 1
Suppose 3*p + 21 = 3*w, 0 = 23*p - 19*p - w + 1. Determine c, given that 0 + 27*c**p + 0*c - 9/2*c**3 - 6*c**4 + 3/2*c**5 = 0.
-2, 0, 3
Suppose 32*a - 37*a = -5*q + 50, 5*q = -a + 20. Factor 9/4*d**3 + 0*d - 3/2*d**4 + 0*d**2 - 3/4*d**q + 0.
-3*d**3*(d - 1)*(d + 3)/4
Let v(g) be the first derivative of 4*g + 2/15*g**6 - 3 - g**5 - 14/3*g**3 + 4*g**2 + 3*g**4. Let n(y) be the first derivative of v(y). Factor n(r).
4*(r - 2)*(r - 1)**3
Let p(h) = h**3 + 13*h**2 + 17*h - 50. Let g be p(-11). Factor 0 + 0*m**2 - 1/4*m**3 + 0*m - 1/4*m**g + 1/2*m**4.
-m**3*(m - 1)**2/4
What is u in 426/5*u**2 - 2584/5*u + 68/5*u**3 + 2/5*u**4 + 2888/5 = 0?
-19, 2
Let y(x) be the third derivative of x**7/210 + x**6/40 - 7*x**5/60 - 5*x**4/8 + 3*x**3 - 50*x**2 + 4. Determine b so that y(b) = 0.
-3, 1, 2
Let d = -684 - -684. Let t(n) be the third derivative of 0*n + 1/30*n**6 + d + 0*n**4 + 0*n**3 + 1/15*n**5 - 3*n**2. Let t(k) = 0. What is k?
-1, 0
Let q(n) = -74*n**2 - 22*n + 12. Let u(o) = 6*o**2 - 1. Let y(s) = -q(s) - 12*u(s). Let y(j) = 0. Calculate j.
-11, 0
Factor -4/3*j**2 + 12*j + 0.
-4*j*(j - 9)/3
Suppose -3/2*k**4 + 0 - 33/2*k**2 - 9*k - 9*k**3 = 0. Calculate k.
-3, -2, -1, 0
Let u = -18 - -30. Let g = 12 - u. Factor 2*l + g*l + 16*l - 2*l**2 + 5*l**2 + 27.
3*(l + 3)**2
Let p(v) = v. Let j(m) = -5*m**2 + 32*m - 45. Let r(x) = j(x) - 2*p(x). Solve r(t) = 0 for t.
3
Let p(z) be the first derivative of -3*z**4/22 - 20*z**3/11 + 117*z**2/11 + 414. Factor p(k).
-6*k*(k - 3)*(k + 13)/11
Let j(z) = 4*z**5 + 4*z**3 + 6*z**2 + z. Let q = -26 - -23. Let g(d) = -d**5 - d**4 - d**3 - d**2 - d. Let c(x) = q*g(x) - j(x). Factor c(a).
-a*(a - 2)*(a - 1)**2*(a + 1)
Let d(y) be the third derivative of -1/120*y**5 - 1/4*y**4 - 3*y**3 - 2*y**2 + 0*y + 0. Factor d(l).
-(l + 6)**2/2
Factor -4*t - 6 - 1/6*t**3 + 11/6*t**2.
-(t - 6)**2*(t + 1)/6
Let v(f) = -f**3 + 64*f**2 + 63*f + 131. Let r be v(65). Suppose -r + 4/3*q**2 + 11/3*q = 0. What is q?
-3, 1/4
Let c(f) = -2*f**3 + 330*f**2 + 36957*f + 1367631. Let o(a) = 5*a**3 - 659*a**2 - 73912*a - 2735262. Let s(w) = 14*c(w) + 6*o(w). Factor s(n).
2*(n + 111)**3
Let -4*g**3 - 8 + 8/3*g + 2/3*g**4 + 6*g**2 = 0. What is g?
-1, 2, 3
Let c(a) = 21*a**2 + 34*a + 1. Let m(k) = -61*k**2 - 104*k - 1. Let x(o) = -7*c(o) - 2*m(o). Suppose x(j) = 0. What is j?
-1, -1/5
Let p(h) be the first derivative of h**3/21 