et q(k) be the first derivative of k**4/24 + k**3/12 - 3*k**2/2 + 38*k - 128. Let u(o) be the first derivative of q(o). Factor u(r).
(r - 2)*(r + 3)/2
Let f be 1 + 3 - ((-91)/(-7) + -9). Solve 2*n**2 - 43*n + f - 69*n - 8 + 56*n**2 = 0.
-2/29, 2
Let 236*a**4 - 400*a - 128 - 253*a**3 + 95*a**3 - 108*a**2 - 36*a**5 + 594*a**3 = 0. What is a?
-1, -4/9, 1, 8
Let q(f) = -f**2 - f - 1. Let y be 13/(-4) - 2/(-8). Let r be (0 - 7/(-42)) + (-30)/(-36). Let l(c) = 6*c**2 + 4*c - 5. Let x(u) = r*l(u) + y*q(u). Factor x(d).
(d + 1)*(9*d - 2)
Let b(d) be the first derivative of d**8/4200 - d**7/280 + 7*d**6/1800 + 112*d**3/3 + 203. Let g(k) be the third derivative of b(k). Let g(l) = 0. What is l?
0, 1/2, 7
Factor 21600/17*t - 96/17*t**3 + 360/17*t**2 + 2/17*t**4 + 0.
2*t*(t - 30)**2*(t + 12)/17
Let y(c) be the first derivative of 4*c**3/3 - 70*c**2 + 784*c - 424. Suppose y(q) = 0. What is q?
7, 28
Suppose 0 = -10*w + 8*w - 40. Let o be (-3 + (-51)/(-15))*w/(-2). Solve o*t**3 + 12*t**4 - 4*t**5 + 3*t**3 - 15*t**3 = 0.
0, 1, 2
Let l(x) be the third derivative of -3*x**6/20 + 37*x**5/4 - 617*x**4/8 - 54*x**3 - 19*x**2 - 33*x. Factor l(y).
-3*(y - 27)*(y - 4)*(6*y + 1)
Determine d, given that 7424*d - 3425865 - 603*d**2 + 599*d**2 - 18871 = 0.
928
Let f be (2/(-4) + (-434)/(-756))*(-333)/(-185). Factor -16/15*n**2 + 4/5*n**3 - f*n**5 + 2/5*n + 0*n**4 + 0.
-2*n*(n - 1)**3*(n + 3)/15
Let j(p) = -p**2 + 2*p + 3. Let s be j(3). Let z = 14626 - 14623. Let -1/3*q + s + 1/3*q**z + 0*q**2 = 0. What is q?
-1, 0, 1
Suppose 14469*u = 13484*u + 2955. Determine s, given that 2*s**2 - 10/3 - 1/3*s**u - s = 0.
-1, 2, 5
Let v be (88/(-22))/((-4)/(-9))*1/(-7). Let h(o) be the first derivative of -1/3*o**3 - v*o - 34 + 15/14*o**2 + 1/28*o**4. Find c, given that h(c) = 0.
1, 3
Factor -2614*r**4 + 22867622082 - 39*r**5 - 1280532*r**3 - 65*r**5 - 278443116*r**2 - 22587895818*r + 102*r**5.
-2*(r - 1)*(r + 327)**4
Suppose -1102 = 201*f - 230*f. Suppose -f*s + 28*s = -30. What is t in 6/11 - 2/11*t**s + 2/11*t - 6/11*t**2 = 0?
-3, -1, 1
Suppose -11*d**2 - 12720*d - 4599080 - 5513320 + 7*d**2 = 0. What is d?
-1590
Let v(x) be the second derivative of 2 + 3/100*x**5 + 3/2*x**2 - 26*x - 9/10*x**3 + 3/20*x**4. Factor v(n).
3*(n - 1)**2*(n + 5)/5
Let b(q) = 2*q**2 + q - 1. Let y(o) be the third derivative of -o**6/20 + 3*o**5/20 + o**4/4 - 5*o**3/6 + 28*o**2. Let t(z) = 5*b(z) - y(z). Factor t(u).
u*(2*u + 1)*(3*u - 1)
Let z(r) be the second derivative of -r**6/6 - 912*r**5 - 1386240*r**4 - 52*r - 22. Find a such that z(a) = 0.
-1824, 0
Factor -18/7*d**2 + 96/7*d + 128 - 2/7*d**3.
-2*(d - 7)*(d + 8)**2/7
Let u(p) = -69*p**2 + 22 + 18*p**2 - 117*p + 36*p**2 + 14. Let x(s) = -4*s**2 - 29*s + 9. Let q = 30 - 35. Let l(v) = q*u(v) + 21*x(v). Factor l(m).
-3*(m + 3)*(3*m - 1)
Let p(s) be the second derivative of 19/24*s**3 - 3/80*s**5 - 8 + 11/48*s**4 - s + 5/8*s**2. Factor p(l).
-(l - 5)*(l + 1)*(3*l + 1)/4
Let g(t) = -4*t**4 - 124*t**3 - 542*t**2 + 2016*t - 864. Let v(c) = c**3 + 2*c**2 + 6*c. Let b(n) = g(n) + 2*v(n). Determine o, given that b(o) = 0.
-24, -9, 1/2, 2
Let s = -549 - -549. Let x(p) be the third derivative of s - 1/150*p**5 + 2/15*p**4 + 52*p**2 + 0*p - 16/15*p**3. Let x(d) = 0. What is d?
4
Let l(d) be the first derivative of -d**3/3 - 403*d**2 - 162409*d + 946. Determine m so that l(m) = 0.
-403
Let a(i) = -i - 4. Let h be 5/15 - 76/12. Let p be a(h). Find v such that 8*v**2 - v**4 + 3*v**p - 9*v**2 + v**3 = 0.
-1, 0, 2
Determine i, given that -8/3*i**5 + 92*i + 404/3*i**3 + 26*i**4 - 880/3*i**2 + 130/3 = 0.
-5, -1/4, 1, 13
What is c in -688205 + 1728*c**2 - 1050*c + 4760*c - 1733*c**2 = 0?
371
Let g = 43 + -41. Factor 2*k**g + 8 + 0*k**4 - k**4 + 0*k**4 + 8*k + 4*k - 3*k**3.
-(k - 2)*(k + 1)*(k + 2)**2
Factor -12400463 - 5311*g + 5*g**2 - 19579*g + 43376068.
5*(g - 2489)**2
Factor -44*n**4 - 46*n**4 - 348*n**2 - 117*n**4 - 480*n + 204*n**4 + 129*n**3.
-3*n*(n - 40)*(n - 4)*(n + 1)
Factor 570*c**2 + 3*c**4 - 471*c**2 - 751*c**2 - 309*c**3 - 2943*c - 1283*c**2.
3*c*(c - 109)*(c + 3)**2
Factor -2232 + 166*d - 51*d**2 + 194*d - 28*d**2 + 108*d**2 - 27*d**2.
2*(d - 6)*(d + 186)
Let q(n) be the third derivative of n**7/5 - 2*n**6/3 + 17*n**5/30 + n**4/6 - 181*n**2 + 1. Find v, given that q(v) = 0.
-2/21, 0, 1
Suppose -11 = -8*r + 29. Suppose -r*y = -3*y. Factor -10*a - 2*a**2 - 5 + 4*a**3 - 2*a**3 - 1 + y*a**3.
2*(a - 3)*(a + 1)**2
Let k(s) = s**2 + 12*s - 121. Let i be k(10). Let x = i + -295/3. Solve -2/3*t**2 + 2/3*t + x*t**4 + 0 - 2/3*t**3 = 0 for t.
-1, 0, 1
Suppose 16 = -2*b + 62. Let n = b - 12. Find m, given that -25*m**4 + n*m**4 + 8*m - 3*m**2 - 33*m**2 + 2 + 40*m**3 = 0.
-1/7, 1
Let d be (-212)/(-5194)*42/8. Let n(m) be the third derivative of 27*m**2 + d*m**3 + 0*m + 0 - 1/28*m**4 - 1/140*m**5. Factor n(b).
-3*(b - 1)*(b + 3)/7
Factor -46/3*i - 20/3*i**2 - 2/3*i**3 - 28/3.
-2*(i + 1)*(i + 2)*(i + 7)/3
Let n be 11/(55/10) - -4. Suppose -r + 4*i + n + 0 = 0, 0 = -5*i. Determine d, given that -3 + 15/2*d + 3/2*d**3 - r*d**2 = 0.
1, 2
Suppose -38 = 7*t - 3. Let a = t + 9. Find i such that 2/3*i**3 - 1/3 - 1/3*i**a - 1/3*i**5 + 2/3*i**2 - 1/3*i = 0.
-1, 1
Let n(g) be the second derivative of 0 - 19/6*g**4 + 1/5*g**5 + 9*g**2 + 8/3*g**3 + 289*g. Solve n(s) = 0.
-1/2, 1, 9
Let v(f) be the first derivative of 2*f**5/15 - 5*f**4/4 + 7*f**3/9 - 1827. Factor v(i).
i**2*(i - 7)*(2*i - 1)/3
Factor 1/2*s**4 + 0 - 7/4*s**3 - 53/4*s**2 + 7*s.
s*(s - 7)*(s + 4)*(2*s - 1)/4
Let x(f) be the first derivative of -33*f**3/8 - 87*f**2 - 21*f/2 - 2007. Factor x(a).
-3*(a + 14)*(33*a + 2)/8
Let s(n) be the second derivative of n**8/23520 + n**7/245 + n**6/72 - 95*n**4/12 - 276*n. Let c(x) be the third derivative of s(x). Find k such that c(k) = 0.
-35, -1, 0
Let i(d) = -d**2 - 8*d - 13. Let f be i(-5). Suppose -4*t + 2 = 3*z, -z - 6 = -t - f. Suppose 3/7*j**t - 6/7*j**3 + 6/7*j - 3/7*j**4 + 0 = 0. What is j?
-2, -1, 0, 1
Let y(u) = -4*u - 39. Let m be y(-11). Suppose 4*s**4 + s**2 + 22 - 12*s**3 - 21*s**2 - m - 1 + 12*s = 0. Calculate s.
-1, 1, 4
Let a be (-310)/70 + (2 - (-22)/(-14)). Let f be (8/a - -1)*-2. What is t in f*t + t - 2*t**5 - 29*t**3 + 4*t - 3*t - 8 + 22*t**2 + 13*t**4 = 0?
-1/2, 1, 2
Let p be ((-15)/(-10))/((-33)/22). Let k be 186/(-93)*(1 + 3*p). Let -20/3*q**k - 344/9*q**3 - 928/9*q**2 - 4/9*q**5 - 128*q - 512/9 = 0. Calculate q.
-4, -2, -1
Suppose 637*a - 114 = -114. Let a*b - 2/3*b**2 + 1/3*b**4 + 0*b**3 + 1/3 = 0. Calculate b.
-1, 1
Let c(a) = 636*a + 3821. Let x be c(-6). Let o(i) be the first derivative of -2/3*i**3 + 27 + 0*i + x*i**2. Let o(j) = 0. What is j?
0, 5
Suppose -14*f - 67 = -18*f + 3*g, 2*g = -2. Factor 2*x**5 + 10*x**4 + 16*x**3 - 14*x**3 + f*x**3 + 13*x**2 + 4*x + x**2.
2*x*(x + 1)**3*(x + 2)
Let p(y) be the first derivative of 0*y + 1/12*y**4 - 4 - 2/3*y**3 + 3*y**2 + 1/30*y**5. Let r(w) be the second derivative of p(w). Factor r(i).
2*(i - 1)*(i + 2)
Determine j so that 1/2*j**5 - 392*j - 789/4*j**3 + 0 - 1567/4*j**4 + 1961/2*j**2 = 0.
-2, 0, 1/2, 1, 784
Let p(z) = -15*z**3 + 465*z**2 - 16884*z + 16428. Let f(c) = -17*c**3 + 468*c**2 - 16886*c + 16428. Let o(v) = -6*f(v) + 7*p(v). Suppose o(g) = 0. Calculate g.
1, 74
Determine o, given that -12*o**4 + 3*o**5 - 896*o**2 - 27*o**4 + 1855*o**2 - 839*o**2 + 114*o**3 - 576*o = 0.
-2, 0, 3, 4, 8
Suppose -5*i - 807*b = -806*b + 10, i + 3*b = -58. Find h, given that -2/5*h**i - 4/5*h + 0 = 0.
-2, 0
Suppose -88066 = 526*o - 89118. Let 2/3*h**o + 0*h - 8/3 = 0. What is h?
-2, 2
Let x(h) = -h**2. Let j(s) = -8*s**2 + 92*s - 1058. Let r be 3*-1*29/(-87). Let w(b) = r*j(b) - 6*x(b). Let w(y) = 0. Calculate y.
23
Let m be (-36)/(-17) - (-28)/(-238). Let -37 + 16*w**m + 67 - 30 - 4*w**4 = 0. What is w?
-2, 0, 2
Let q(c) be the second derivative of c**5/170 + 43*c**4/34 + 1365*c**3/17 - 4225*c**2/17 + 2*c - 217. Determine m, given that q(m) = 0.
-65, 1
Let g(a) be the first derivative of 4*a**5/5 - 26*a**4 + 364*a**3/3 - 132*a**2 + 290. Suppose g(o) = 0. What is o?
0, 1, 3, 22
Let d = -11826 + 11836. Let z(a) be the second derivative of -5/6*a**3 + d*a**2 - 5/3*a**4 + 1/4*a**5 - 10*a + 0. Factor z(j).
5*(j - 4)*(j - 1)*(j + 1)
Suppose -28 = -4*h + 3*y, 3*y + 36 - 24 = 0. Let j(g) be the second derivative of -h*g 