or 7/2*g - v*g**4 - 1/2*g**5 + 3/2 - 3*g**3 + g**2.
-(g - 1)*(g + 1)**3*(g + 3)/2
Let q(m) be the first derivative of -106 + 1/36*m**4 + 5/27*m**3 - 13/18*m**2 + 7/9*m. Factor q(d).
(d - 1)**2*(d + 7)/9
Let w(a) be the second derivative of -5*a**7/168 + 9*a**6/40 - 3*a**5/16 - 103*a**4/48 + 11*a**3/2 - 9*a**2/2 - 7*a - 9. Suppose w(q) = 0. What is q?
-2, 2/5, 1, 3
Let n be ((-8)/578)/((-4301)/(-289) - 15). Factor 12/17*p**3 - 26/17*p**2 - n*p**4 + 24/17*p - 8/17.
-2*(p - 2)**2*(p - 1)**2/17
Let i(t) be the third derivative of 5*t**8/336 - 5*t**7/42 - 7*t**6/24 + 41*t**5/12 - 25*t**4/4 + 2*t**2 - 5728*t + 1. Determine v so that i(v) = 0.
-3, 0, 1, 2, 5
Let g(b) = 2*b**4 + 2*b**3 - 21*b**2 - 59*b - 38. Let j = -101 + 107. Let p(s) = -s**2 + s + 2. Let f(d) = j*p(d) + 2*g(d). Factor f(o).
4*(o - 4)*(o + 1)*(o + 2)**2
Let p = -3 - -24. Suppose -3*f + p = 6. Let -195*n**4 + 4 - 174*n**2 - 45*n**f - 11 - 13 - 120*n - 111*n**2 - 335*n**3 = 0. What is n?
-1, -2/3
Let n(j) = -j - 1. Let p(v) be the first derivative of v**3/3 + 15*v**2/2 - 6*v + 131. Let l(c) = -10*n(c) - 2*p(c). Solve l(t) = 0.
-11, 1
Suppose -6*g + 19*g + 25*g = -52*g. Let k(m) be the third derivative of 5/24*m**4 - 1/24*m**6 + 5/6*m**3 + 0*m - 1/12*m**5 - 17*m**2 + g. What is r in k(r) = 0?
-1, 1
Let x(q) = q**3 + 2*q**2 - 3*q - 6. Let y be x(-3). Let u be y/(-12)*(-2 - -2). Solve -1/2*v**3 + u*v + 7/2*v**2 + 0 = 0.
0, 7
Let x = 7023/14006 - 10/7003. Find u, given that -31/8*u**4 - x*u**5 + 25/8 + 83/4*u**2 - 35/2*u - 2*u**3 = 0.
-5, 1/4, 1
Let n = 121/95 + -9857/3040. Let p = n - -695/288. Solve 1/9*t**3 + 5/9*t - p*t**2 - 2/9 = 0.
1, 2
Let d(h) = 1885*h - 13190. Let s be d(7). Let r(a) be the first derivative of 75*a**3 + 5*a**s - 145/2*a**2 - 135/4*a**4 + 30*a + 4. Factor r(y).
5*(y - 3)*(y - 1)**2*(5*y - 2)
Let q be 14 + 1 - (789 + -778). Let -2/9*k + 10/9*k**q - 46/9*k**3 + 50/9*k**2 - 4/3 = 0. Calculate k.
-2/5, 1, 3
Let a be (12/(-33))/(4/(-44)). Factor -2*g**2 - 257*g**3 + 3*g**4 - 4*g**a - 4*g + 255*g**3 + 9*g**2.
-g*(g - 1)**2*(g + 4)
Suppose -52*s + 2068 = -8*s. Factor 24 + s*j + 31*j - 24*j**2 - 82*j + 4*j**3.
4*(j - 6)*(j - 1)*(j + 1)
Let g(k) be the first derivative of -k**4/4 + 2*k**3/3 - k**2/2 + 694. Solve g(l) = 0 for l.
0, 1
Let r(g) be the first derivative of 32*g**3 - 663/2*g**2 - 3/4*g**4 - 1734*g - 18. Solve r(p) = 0.
-2, 17
Let u(d) be the second derivative of d**4/3 - 614*d**3/3 - 616*d**2 - 276*d. Factor u(v).
4*(v - 308)*(v + 1)
Let f(o) be the second derivative of o**4/6 - 6962*o**3/3 + 12117361*o**2 + 10521*o. Factor f(k).
2*(k - 3481)**2
Let w(c) be the first derivative of -140*c**2 + 3920*c + 21 + 5/3*c**3. Find h, given that w(h) = 0.
28
Factor 80 + 1381 + 3*n**2 + 2166*n + 2284 + 715 + 2011.
3*(n + 3)*(n + 719)
Let n(j) be the first derivative of 2*j**3/21 - 81*j**2/7 - 680*j/7 + 9495. Determine y so that n(y) = 0.
-4, 85
Let u(r) be the second derivative of 2*r**6/15 - 183*r**5/5 + 181*r**4/3 + 122*r**3 - 364*r**2 - 1004*r. Factor u(y).
4*(y - 182)*(y - 1)**2*(y + 1)
Factor 10*d**3 + 0 + 32/3*d**4 + 2/3*d**5 + 0*d + 0*d**2.
2*d**3*(d + 1)*(d + 15)/3
Let z(x) be the second derivative of 13/36*x**4 + 0 + 5*x**2 + 2/9*x**3 + 7/30*x**5 + x. Let b(t) be the first derivative of z(t). Factor b(s).
2*(3*s + 1)*(7*s + 2)/3
Let u(v) be the third derivative of -v**7/168 + v**6/240 + 3*v**5/16 - 3*v**4/16 + 5359*v**2. What is s in u(s) = 0?
-3, 0, 2/5, 3
Let m(j) = j**4 - 3*j**2 + j + 1. Let s(z) = 9*z**4 - 3*z**3 - 54*z**2 + 90*z - 42. Let v(x) = 6*m(x) - s(x). Factor v(k).
-3*(k - 2)**2*(k - 1)*(k + 4)
Let x(a) be the third derivative of -2/9*a**4 + 0 - 83*a**2 + 0*a - 1/45*a**6 - 1/630*a**7 - 5/18*a**3 - 1/10*a**5. Let x(t) = 0. What is t?
-5, -1
Factor -24*h**2 + 0 - 1/5*h**4 - 21/5*h**3 - 20*h.
-h*(h + 1)*(h + 10)**2/5
Factor 3208/21*d**2 + 536/21 - 2/21*d**5 + 2132/21*d**3 + 102*d + 176/7*d**4.
-2*(d - 268)*(d + 1)**4/21
Let o(g) be the first derivative of 43*g**5/20 + 61*g**4/16 + 3*g**3/2 + 1139. Factor o(n).
n**2*(n + 1)*(43*n + 18)/4
Let b(k) be the third derivative of -k**7/5040 - k**6/160 - k**5/30 + k**4/8 - k**3 - 39*k**2. Let i(y) be the second derivative of b(y). Factor i(j).
-(j + 1)*(j + 8)/2
Determine k so that 0 + 0*k + 2/17*k**4 - 66/17*k**3 + 0*k**2 = 0.
0, 33
Let q(x) be the first derivative of x**6/27 + 38*x**5/45 + 17*x**4/6 + 98*x**3/27 + 16*x**2/9 + 696. Factor q(n).
2*n*(n + 1)**3*(n + 16)/9
Let g(a) be the third derivative of a**6/240 + 257*a**5/40 + 66049*a**4/16 + 16974593*a**3/12 - 789*a**2. Determine f, given that g(f) = 0.
-257
Let j(v) = v**2 - 8*v - 75. Let n be j(17). Suppose f + 5*m - 23 = -3*f, -3*f + 2*m = 0. Factor 3*h**3 + 78*h - 6*h**f - n*h + 0*h**3.
3*h**2*(h - 2)
Let p be 5/20 + 2*35/40. Let o(s) = s**2 + 2*s - 2. Let q(n) = -9*n**2 - 16*n + 26. Let u(b) = p*q(b) + 22*o(b). Factor u(i).
4*(i + 1)*(i + 2)
Let f be 8/1 + 27 + -29. Suppose -2*g + 4*c + 14 = 0, 0 = 2*g - 55*c + 59*c - f. Suppose 3/2*r**2 - 1/2*r**g - 1/2*r**3 + r - 3/2*r**4 + 0 = 0. What is r?
-2, -1, 0, 1
Suppose n - 2 = 0, 65*j - 68*j - n + 77 = 0. Let p(c) be the third derivative of j*c**2 + 30*c**3 + 0 + 0*c - 5/2*c**4 + 1/12*c**5. Factor p(q).
5*(q - 6)**2
Let n(m) = 7*m + 619. Let z be n(-86). Let w(o) be the third derivative of 0 + 1/24*o**6 + 0*o + z*o**2 + 0*o**5 + 0*o**3 + 0*o**4. Suppose w(c) = 0. What is c?
0
Let y(z) = -12*z - 3*z - 2 - z**2 - 12. Let n be y(-7). Factor n*q**2 + 4 - 6*q + 4*q + 41*q**2 - 85*q**2.
-2*(q - 1)*(q + 2)
Let u(w) = 4 - 33*w + 23*w + 2*w**2 + 4. Let x be u(4). Factor -6/17 - 12/17*v**2 + x*v**3 - 16/17*v + 2/17*v**4.
2*(v - 3)*(v + 1)**3/17
Let x(g) = -g**5 + 2*g**4 + g**3 + g + 1. Let c(v) = -v**5 + 88*v**4 + 587*v**3 + 1204*v**2 + 1013*v + 305. Let y(f) = c(f) + x(f). Factor y(l).
-2*(l - 51)*(l + 1)**3*(l + 3)
Let y be (7 - -21 - (-2754)/(-99)) + (-4011)/(-264). What is l in 15/4*l**2 + 3/2 + y*l = 0?
-4, -1/10
Let q(w) be the third derivative of w**6/40 - 78*w**5/5 - 26*w**2 - 3. Factor q(f).
3*f**2*(f - 312)
Let q be (31 - 24480/792)*(-2)/(8/(-22)). Suppose -1/10 - y**2 + 1/10*y**5 + 1/2*y + y**3 - q*y**4 = 0. What is y?
1
Let h = 267 - 266. Let u be (h - -1 - 2)/2. Suppose u + 2/13*y**2 + 2/13*y**4 + 0*y - 4/13*y**3 = 0. What is y?
0, 1
Let o(n) be the third derivative of -1/1344*n**8 + 0 + n**2 - 1/420*n**7 + 1/96*n**4 + 0*n**6 + 1/120*n**5 + 0*n**3 - 56*n. Find r, given that o(r) = 0.
-1, 0, 1
Let o(w) be the third derivative of -4/9*w**3 - 4*w**2 + 0 - 1/4*w**4 - 1/60*w**5 + 1/180*w**6 - 7*w. Determine d so that o(d) = 0.
-2, -1/2, 4
Let q(b) = 2*b. Let x(v) = 477*v - 903*v - v**2 + 451*v. Let s(u) = 24*q(u) - 3*x(u). Factor s(d).
3*d*(d - 9)
Let f(t) = -3*t**3 - 18*t**2 + 15*t - 14. Let r(k) = -5*k**3 - 17*k**2 + 13*k - 16. Let a(v) = 5*f(v) - 4*r(v). Factor a(h).
(h - 3)*(h - 1)*(5*h - 2)
Let d = 897 + -542. Let q = 359 - d. Factor -4*l**3 - 4/3*l**q - 1/3 - 13/3*l**2 - 2*l.
-(l + 1)**2*(2*l + 1)**2/3
Suppose -181 = 24*k - 301. Let r(a) be the first derivative of 32 + 0*a + 7*a**k + 5/6*a**6 + 45/2*a**4 + 20*a**2 + 100/3*a**3. Factor r(f).
5*f*(f + 1)*(f + 2)**3
Let x be ((2159/51)/((-1)/3))/90. Let q = 47/18 + x. Solve -2/5*b**2 - 6/5*b**4 + 0*b + 2/5*b**5 + 0 + q*b**3 = 0 for b.
0, 1
Find c, given that -91 + 1/3*c**2 - 88/3*c = 0.
-3, 91
Let 28062*d - 28 + 28096*d - 6*d**2 - 56112*d = 0. What is d?
2/3, 7
Let k be (-68)/(-119) - 1359*(-6)/63. Let x be (-13)/k + 37/70. Factor x*u**2 + 1/7*u**3 - 1/7*u**4 - 1/7*u - 2/7.
-(u - 2)*(u - 1)*(u + 1)**2/7
Let z(c) be the first derivative of -c**6/60 + 4*c**5/45 + 5*c**4/36 - 2*c**3/3 + 235*c**2/2 - 216. Let n(y) be the second derivative of z(y). Factor n(b).
-2*(b - 3)*(b + 1)*(3*b - 2)/3
Let b(h) be the third derivative of 2809/4*h**4 - 53/10*h**5 + 0 + 1/60*h**6 + 0*h - 233*h**2 - 148877/3*h**3. Factor b(o).
2*(o - 53)**3
Let t(r) be the second derivative of -r**4/6 - 126*r**3 - 377*r**2 - 688*r. Factor t(z).
-2*(z + 1)*(z + 377)
Let l be 3910/345*(-48)/(-272). Factor 36/11*z**3 + 72/11 - 150/11*z**l - 408/11*z.
6*(z - 6)*(z + 2)*(6*z - 1)/11
Suppose -4*g + 5*g + 2*i + 4 = 0, 0 = i + 2. Let g + 2*n**3 - 4 + 17*n**4 - 2*n**2 - 16*n**4 - 8*n - n**2 = 0. Calculate n.
-2, -1, 2
Suppose -7*q + 2*q + 40 = -q. Let d(c) be the second derivative of -q*c - 5/2*c*