 6/7 = 0. Calculate m.
-3, -1
Let b(p) be the second derivative of p**7/168 + 151*p**6/120 + 3749*p**5/40 + 19533*p**4/8 - 85833*p**3/8 + 132651*p**2/8 + 424*p. Factor b(w).
(w - 1)**2*(w + 51)**3/4
Let q(x) be the second derivative of 0*x**5 - 3/2*x**2 + 3*x + 0*x**3 + 0*x**4 + 0 + 1/720*x**6. Let c(j) be the first derivative of q(j). Factor c(g).
g**3/6
Let z(b) be the third derivative of 25*b**2 - 5/24*b**6 + 1/14*b**4 + 0*b + 0 + 4/21*b**3 - 3/14*b**5. Determine c so that z(c) = 0.
-2/5, 2/7
Let i be 6/2 + -4 + 1. Factor 8*n**4 + 4*n + 2*n**4 + 14*n**3 + i*n**2 - 10*n**2 - 18*n**3.
2*n*(n - 1)*(n + 1)*(5*n - 2)
Let y(b) be the first derivative of -2*b**3/33 - 15*b**2/11 + 32*b/11 + 249. Factor y(a).
-2*(a - 1)*(a + 16)/11
Let x(l) be the second derivative of -l**5/90 + 2*l**4/27 - 4*l**3/27 + l - 6. Factor x(y).
-2*y*(y - 2)**2/9
Find y such that 36*y**2 + 15 - 15 + 239*y**3 + 29*y - 235*y**3 + 27*y = 0.
-7, -2, 0
Let t(n) be the first derivative of 0*n + 0*n**4 + 0*n**2 + 11/3*n**3 - 14 + 1/60*n**6 + 1/30*n**5. Let f(v) be the third derivative of t(v). Factor f(o).
2*o*(3*o + 2)
Let q(g) be the third derivative of 0*g - 1/20*g**5 - 1/3*g**3 + 2*g**2 + 1/42*g**7 + 7/24*g**4 + 0 - 7/120*g**6. What is x in q(x) = 0?
-1, 2/5, 1
Factor -162*k**5 - 6220*k - 6503*k**2 - 39641*k**2 - 18868*k - 7849*k**3 + 3708*k**4 - 2171*k**3 - 7166*k**3.
-2*k*(k + 1)**2*(9*k - 112)**2
Let b = -26/3 - -61/6. Factor 3/4*k**2 + b*k + 0.
3*k*(k + 2)/4
Suppose 7*p - 196 + 56 = 0. Let 0*j - 9*j - 35*j**2 + p - 6*j = 0. Calculate j.
-1, 4/7
Let w = 83/1533 + 3/73. Let q(t) be the first derivative of 4/7*t + 3/7*t**2 - 6 + w*t**3. Determine y so that q(y) = 0.
-2, -1
Solve -28*o**4 - 22*o**3 + 736*o**2 + 747 + 7*o**3 + 2080*o - o**3 + 853 + 2*o**5 = 0 for o.
-2, 10
Solve 3*f**4 - f**5 - 2201*f**2 - 2*f + 2198*f**2 - f**3 + 4*f = 0.
-1, 0, 1, 2
Let u(f) be the first derivative of -2*f**5/5 + f**4 - 2*f**3/3 - 49. Factor u(z).
-2*z**2*(z - 1)**2
Let r(q) be the first derivative of q**3/15 - 23*q**2/10 - 10*q + 123. Factor r(v).
(v - 25)*(v + 2)/5
Suppose 4*c + 48 = 2*f, 30*c - 33*c = 3*f + 18. Suppose -2/3*b**2 + 1/2 + 1/3*b**3 - 1/3*b + 1/6*b**f = 0. What is b?
-3, -1, 1
Solve 9*t**2 - 4*t**2 - t**3 + 19*t**2 = 0 for t.
0, 24
Let q(l) be the second derivative of l**4/6 - 7*l**3/3 + 6*l**2 + 2*l. Let x be q(6). Suppose 2/7*m + x - 2/7*m**4 + 6/7*m**3 - 6/7*m**2 = 0. What is m?
0, 1
Let c(u) be the first derivative of u**4 + 0*u**3 + 0*u**2 + 36 + 0*u + 4/5*u**5. Determine l, given that c(l) = 0.
-1, 0
Let p(c) be the second derivative of 0 - 11*c + 0*c**2 + 1/5*c**5 + 0*c**3 + 1/3*c**4. Factor p(n).
4*n**2*(n + 1)
Let s(p) = -5*p**2 - 174*p + 3. Let z(v) = 9*v**2 + 348*v - 5. Let h(y) = 5*s(y) + 3*z(y). Factor h(b).
2*b*(b + 87)
Let j = -80079/7 + 11441. Find s such that j + 34/7*s**2 - 10/7*s**3 - 32/7*s = 0.
2/5, 1, 2
Let t be (0 + -1)*-2*98/140. Factor 0*m + 0 + t*m**3 - 2/5*m**4 - 1/5*m**5 - 4/5*m**2.
-m**2*(m - 1)**2*(m + 4)/5
Suppose -3*y + 5*r - 6*r = -7, 3*y + 5*r = -1. Suppose -3/2*i**3 + 0 - 3/2*i + y*i**2 = 0. What is i?
0, 1
Find s, given that -9/2*s**3 + 1/2*s**4 + 21/2*s**2 + 3 - 19/2*s = 0.
1, 6
Let s(j) be the third derivative of -3*j**2 + 0*j - 3/2*j**4 - 2/5*j**5 - 1/30*j**6 - 8/3*j**3 + 0. Determine v so that s(v) = 0.
-4, -1
Let q be 1 + (2 + -3 - -4). Let b be 4 - (4 + (2 - 4)). Determine t so that -5*t - 3*t + 6*t**3 + 3 - b*t + q*t - 3*t**2 = 0.
-1, 1/2, 1
Let w(d) = -23*d**2 + 413*d - 1072. Let r(y) = -8*y**2 + 138*y - 357. Let q(f) = 8*r(f) - 3*w(f). Factor q(k).
5*(k - 24)*(k - 3)
Let a(s) be the first derivative of -3*s**5/25 + 9*s**4/20 + s**3/5 - 9*s**2/10 + 18. Factor a(i).
-3*i*(i - 3)*(i - 1)*(i + 1)/5
Let v(g) be the second derivative of g**6/2 + 7*g**5/4 - 185*g**4/12 + 85*g**3/6 + 25*g**2 - 99*g + 1. Determine n, given that v(n) = 0.
-5, -1/3, 1, 2
Let k(a) be the second derivative of 100/3*a**3 - 5/2*a**4 + 0 - 125/2*a**2 - 2*a**5 - 1/6*a**6 + 12*a. Factor k(q).
-5*(q - 1)**2*(q + 5)**2
Let k(o) be the second derivative of o**6/6 + o**5/3 - 35*o**4/24 + 5*o**3/3 - 39*o**2/2 + 34*o. Let d(p) be the first derivative of k(p). Solve d(m) = 0.
-2, 1/2
Factor -20/3 - 64/3*s**2 + 74/3*s + 10/3*s**3.
2*(s - 5)*(s - 1)*(5*s - 2)/3
Let g = 6164 - 6164. Solve 3/5*r**3 + g*r**2 + 0 + 0*r = 0.
0
Let v(c) be the first derivative of -1/8*c**2 + 8 + 1/2*c - 1/12*c**3. Factor v(d).
-(d - 1)*(d + 2)/4
Let c be (6/(-18))/(1/(-9)). Factor c*x**2 + 5*x - 5*x**2 - 4*x**2 + x**2.
-5*x*(x - 1)
Let q = 2116 - 10577/5. Factor -q - 3/5*i + 3/5*i**2 + 3/5*i**3.
3*(i - 1)*(i + 1)**2/5
Let r(i) be the third derivative of i**6/780 - i**5/130 + i**4/52 - i**3/39 + 57*i**2. Factor r(m).
2*(m - 1)**3/13
Let u(i) = 3*i**5 + i**3 + i**2 + i. Let k(o) = -75*o**5 + 603*o**4 - 1469*o**3 + 1299*o**2 - 382*o + 36. Let c(s) = -5*k(s) + 10*u(s). Solve c(q) = 0.
2/9, 1, 3
Let b(a) be the first derivative of 2*a**5/5 - 10*a**4 + 52*a**3 + 220*a**2 + 242*a - 108. What is t in b(t) = 0?
-1, 11
Let c(x) be the third derivative of x**6/10 - 11*x**5/30 - x**4/6 + 109*x**2. Factor c(k).
2*k*(k - 2)*(6*k + 1)
Suppose -17*m + m = 0. Suppose 35 = 5*l + 5*v, -5 = -m*v - v. Find z, given that 2/3*z + 0 - 4/3*z**l + 2/3*z**3 = 0.
0, 1
Suppose r - g + 4 = 10, 22 = 3*r - 4*g. Factor -5*h**2 + 6*h + 21*h**r + 3 - 5*h**2 - 8*h**2.
3*(h + 1)**2
Let c(p) = -12*p**3 - 11*p + 11. Let w(j) be the first derivative of -1/4*j**4 - 1/2*j**2 - 5 + j + 0*j**3. Let n(g) = -2*c(g) + 22*w(g). Factor n(u).
2*u**3
Let t(l) be the first derivative of -l**4/22 - 10*l**3/33 + 8*l**2/11 + 96*l/11 - 67. Find x, given that t(x) = 0.
-4, 3
Suppose 29 = 5*n - 16. Let h be (-12)/(-32) - 26/(-16). Factor -5*w**3 - h*w + 16*w**2 - 4*w + 8*w**2 - 4 - n*w**3.
-2*(w - 1)**2*(7*w + 2)
Let v(r) = r**3 + 36*r**2 - 112*r + 197. Let x be v(-39). Factor -4/3*u**x + 0 + 2/3*u + 2/3*u**3.
2*u*(u - 1)**2/3
Let i be 9/5 - (186/124 + (-1)/(-10)). Find k such that 0*k + 1/5*k**4 + 1/5*k**3 - 1/5*k**5 - i*k**2 + 0 = 0.
-1, 0, 1
Let o = -419 + 421. Let l(h) be the first derivative of -1/21*h**6 + 0*h**2 + 0*h - 2/35*h**5 - o + 0*h**4 + 0*h**3. Solve l(d) = 0.
-1, 0
Suppose l = 7*l - 12. Factor -7*m**4 - 21*m**3 + 4*m + 12*m**3 + 14*m**2 - 2*m**l.
-m*(m - 1)*(m + 2)*(7*m + 2)
Suppose 0 = -0*j - 5*j, -12 = -4*r + j. Let p(v) be the third derivative of 4/39*v**r - 5/39*v**4 + 0*v - 5*v**2 + 5/78*v**5 + 0. Suppose p(n) = 0. Calculate n.
2/5
Let d(u) be the first derivative of 4/5*u**5 + 1/18*u**6 + 52/9*u**3 - 8*u**2 + 47/12*u**4 - 64/3*u - 26. Factor d(t).
(t - 1)*(t + 1)*(t + 4)**3/3
Solve -1/10*k**2 - 6/5 - 4/5*k = 0.
-6, -2
Let v(y) be the second derivative of -y**5/10 + y**4/12 - y**2/2 - 5*y. Let k be v(-1). Factor -n**2 - k + n**3 - 69*n + 68*n + 3.
(n - 1)**2*(n + 1)
Let r(o) = o**2 - 7*o + 31. Let j be r(14). Let a = j - 127. Factor 3*b**a - 3/2*b**3 + 3/2*b - 3.
-3*(b - 2)*(b - 1)*(b + 1)/2
Let r(i) be the second derivative of 0 - 1/3*i**4 + 30*i - 2/3*i**3 + 0*i**2. Factor r(k).
-4*k*(k + 1)
Let v(u) be the second derivative of u**6/225 + 2*u**5/75 + 2*u**4/45 + 3*u + 39. Determine h, given that v(h) = 0.
-2, 0
Factor 81/7*o - 87/7*o**2 + 6/7.
-3*(o - 1)*(29*o + 2)/7
Let a be -6*(-92)/96 + -5. Determine b, given that 0 + 0*b - a*b**2 - 3/8*b**3 = 0.
-2, 0
Factor 9/2 + 15/8*k - 1/4*k**2 - 1/8*k**3.
-(k - 4)*(k + 3)**2/8
Suppose i + 4*u - 18 = 0, -32 = -2*i - 2*u - 8. Factor 19 + 13 + i*z**3 + 5*z**5 + 15*z**4 - 32.
5*z**3*(z + 1)*(z + 2)
Factor 7*v**2 + 73 + 74*v + 2*v**2 - 7*v**2 - 3*v**2 + 2*v**2.
(v + 1)*(v + 73)
Let i(q) = -63*q**2 - 369*q + 225. Let n = 3 - 7. Let v be 497/15 - n/(-30). Let s(b) = 4*b**2 + 23*b - 14. Let l(u) = v*s(u) + 2*i(u). Factor l(p).
3*(p + 4)*(2*p - 1)
Factor -145*b**2 + 28*b**2 + b**4 + 50*b + 63*b**3 + 7*b - 4*b**4.
-3*b*(b - 19)*(b - 1)**2
Let z(k) be the third derivative of -k**6/180 - k**5/15 - 5*k**4/36 - 292*k**2. Determine t so that z(t) = 0.
-5, -1, 0
Suppose v + r + 4 = 17, -r + 25 = 2*v. Suppose -4*t + 4*q = 3*q - v, -4*q = t + 14. Suppose 0*l**t + l**2 + 0*l**2 - 2*l**2 = 0. What is l?
0
Let v(o) be the second derivative of -1/15*o**6 - 59/3*o**4 + 34*o - 81*o**2 - 2*o**5 + 0 - 60*o**3. Factor v(q).
-2*(q + 1)**2*(q + 9)**2
Let k(q) = -4*q**3 - 25*q**2 - 27*q - 124. Let u be k(-6). Fact