(u + 1)**2*(3*u - 1)/5
Let c(l) be the second derivative of -226*l + 0*l**2 + 1/240*l**5 + 0 - 1/24*l**4 - 2/9*l**3. Determine k, given that c(k) = 0.
-2, 0, 8
Factor -2/3*v**2 + 2/3*v**4 + 8/3*v**3 + 0 - 8/3*v.
2*v*(v - 1)*(v + 1)*(v + 4)/3
Let s be 85/20*(-124)/(-1054). Factor -r**3 + s*r**4 + 0 + 0*r**2 + 0*r.
r**3*(r - 2)/2
Suppose 6*v**5 + 0*v + 20*v**3 + 43/2*v**4 + 0 + 9/2*v**2 = 0. What is v?
-9/4, -1, -1/3, 0
Let y(x) be the second derivative of -4/3*x**2 + 1/54*x**4 + x - 11/27*x**3 + 106. Solve y(g) = 0.
-1, 12
Factor 0*z**2 + 10/9*z**5 + 0 - 104/9*z**4 + 40/9*z**3 + 0*z.
2*z**3*(z - 10)*(5*z - 2)/9
Let h(b) be the second derivative of 0*b**3 - 11/15*b**6 - 10 + 2/7*b**7 - 2*b**5 + 0*b**2 - 2*b - 1/2*b**4. What is w in h(w) = 0?
-1, -1/6, 0, 3
Let m(s) be the third derivative of s**7/70 - 5*s**6/8 - 72*s**5/5 - 153*s**4/2 - 3629*s**2. Factor m(o).
3*o*(o - 34)*(o + 3)*(o + 6)
Let m(h) be the third derivative of -h**6/480 + 17*h**5/240 - 37*h**4/48 + 11*h**3/3 - 2557*h**2 + 2. Solve m(r) = 0 for r.
2, 4, 11
Let h(q) be the first derivative of q**5/20 - 5*q**4/8 + 3*q**3/4 + 4348. Solve h(f) = 0.
0, 1, 9
Let a be 0*((-273)/(-52) + -5). Let y(z) be the first derivative of -17 + 1/10*z**5 + 1/6*z**3 + 1/4*z**4 + a*z**2 + 0*z. Let y(n) = 0. What is n?
-1, 0
Let a(h) be the second derivative of h**7/105 - 11*h**6/75 + 18*h**5/25 - 16*h**4/15 - 32*h**3/15 + 48*h**2/5 + 7392*h. Factor a(m).
2*(m - 6)*(m - 2)**3*(m + 1)/5
Let m(o) be the first derivative of 2*o**3/21 - o**2/7 - 12*o - 929. Factor m(s).
2*(s - 7)*(s + 6)/7
Let o(n) be the second derivative of 100/3*n**3 + 30*n**2 - 35/12*n**4 - 4 + 47*n. Suppose o(a) = 0. What is a?
-2/7, 6
Let q = -1655 + 5165/3. Factor 0 - 1/6*p**4 - q*p**2 + 20/3*p**3 + 0*p.
-p**2*(p - 20)**2/6
Let v(z) be the third derivative of 2/9*z**3 + 1/9*z**4 + 0 + 1/360*z**6 + 0*z + 1/36*z**5 - 65*z**2. Factor v(c).
(c + 1)*(c + 2)**2/3
Factor -675*s**2 + 1054*s**4 - 477*s**4 - 497*s**4 + 250*s - 280*s**3 + 625.
5*(s - 5)*(s - 1)*(4*s + 5)**2
Let n(b) be the first derivative of 2/51*b**3 + 6/17*b**2 - 217 + 16/17*b. Factor n(a).
2*(a + 2)*(a + 4)/17
Let g = 239 + -239. Factor 88 + 8*s**3 - s**5 - 24 + g*s**3 + 5*s**4 - 32*s - 44*s**2.
-(s - 4)**2*(s - 1)*(s + 2)**2
Let g be -1*3 - (-2 - 18/378*49). Find h such that -16/3*h + 16*h**2 + g*h**3 + 0 - 4*h**4 = 0.
-2, 0, 1/3, 2
Suppose -60 - 141 = -45*v - 22*v. Let f(h) be the first derivative of -11 - 5/8*h**2 - 1/3*h**v - 1/4*h. Factor f(d).
-(d + 1)*(4*d + 1)/4
Let m(t) be the first derivative of -38/9*t - 2/27*t**3 - 20/9*t**2 + 16. Let m(w) = 0. What is w?
-19, -1
Factor -5*l**3 - 84*l**2 - 83*l**2 - 217925*l + 217295*l + 44*l**2 + 272.
-(l + 8)*(l + 17)*(5*l - 2)
What is j in 266/3*j**2 + 1/3*j**4 - 337/12*j**3 - 893/12*j + 27/2 = 0?
1/4, 1, 2, 81
Let i(c) = -c**3 + 11*c**2 - 23*c - 1. Let q be 2/(-1 - 15/(-12)). Let r be i(q). Factor -12*b**3 - 20*b + 5 - 6 + r + 2*b**4 + 24*b**2.
2*(b - 3)*(b - 1)**3
Suppose -34*i = 27*i + 42*i - 515. Let l be 1 + -7 + 10 - 14/4. Factor 0*f**4 + 0*f**2 + 0 + 1/2*f**i - l*f**3 + 0*f.
f**3*(f - 1)*(f + 1)/2
Let s(t) be the second derivative of 0*t**3 + 67*t + 5/168*t**7 + 0*t**5 + 1/8*t**6 + 0*t**2 + 0 - 5/12*t**4. Find h such that s(h) = 0.
-2, 0, 1
Let h = 14 - 10. Suppose -6*w + 257 = 53. Determine i, given that 3*i**h + 4*i**5 + 35*i - w*i - 5*i**3 + 2*i**2 - 5*i**2 = 0.
-1, 0, 1/4, 1
Let p(y) be the second derivative of 0*y**3 + y**2 + 99 - 1/12*y**4 + 0*y**5 + 1/240*y**6 - y. Find c, given that p(c) = 0.
-2, 2
Let k(a) be the third derivative of a**8/4032 + a**7/1008 + a**5/60 + 11*a**4/6 + a**2 + 8. Let b(r) be the third derivative of k(r). Factor b(j).
5*j*(j + 1)
Let k(t) be the second derivative of -98*t + 0*t**2 - 1/150*t**5 + 0 - 1/90*t**4 + 2/45*t**3. Suppose k(j) = 0. Calculate j.
-2, 0, 1
Suppose -15*j + 18*j + 5*y - 2682 = 0, -5*j - 2*y = -4451. Factor 30 + 5*b - j*b**2 + 8*b**3 - 3*b**3 + 869*b**2.
5*(b - 3)*(b - 2)*(b + 1)
Let m(o) be the first derivative of 75/2*o**2 - 72*o - 8 - o**3. Factor m(l).
-3*(l - 24)*(l - 1)
Factor -16 - 68/9*m + 2/9*m**2.
2*(m - 36)*(m + 2)/9
Let s(v) = -7*v**2 - 32*v. Let w(d) = -15*d**2 - 65*d. Suppose -3 = m + 5*b - 4*b, 2*m - 4*b = 0. Let f(n) = m*w(n) + 5*s(n). Factor f(k).
-5*k*(k + 6)
Let m(q) = q**2 + 3*q - 9. Let o(y) = 8*y**2 - 1237*y - 399505. Let p(h) = -18*m(h) + 2*o(h). Determine g so that p(g) = 0.
-632
Suppose 28*y - 80 - 63 = 109. Let x(c) be the second derivative of 35/6*c**3 + 25/12*c**4 + 0 + 1/4*c**5 + 15/2*c**2 - y*c. Factor x(r).
5*(r + 1)**2*(r + 3)
Let m(u) be the third derivative of -u**5/360 - 79*u**4/72 - 154*u**3/9 - 3*u**2 - 17*u - 4. Suppose m(z) = 0. What is z?
-154, -4
Let d(c) be the first derivative of -c**5 - 5*c**4/4 + 10*c**3/3 - 4471. Find z such that d(z) = 0.
-2, 0, 1
Let t(j) be the first derivative of j**5 + 75*j**4/4 - 5*j**3/3 - 75*j**2/2 - 289. What is i in t(i) = 0?
-15, -1, 0, 1
Let j = 4264 + -4260. Let y(z) be the second derivative of 14*z + 3/8*z**2 - 1/4*z**j + 3/8*z**3 + 0. Find l such that y(l) = 0.
-1/4, 1
Let r(f) be the second derivative of -49*f**6/50 + 3927*f**5/20 - 2549*f**4/5 + 2114*f**3/5 - 792*f**2/5 + 2340*f. Determine b so that r(b) = 0.
2/7, 1, 132
Let n(g) be the first derivative of 3*g**4/4 + 4*g**3 - 285*g**2/2 - 594*g + 1289. Let n(a) = 0. Calculate a.
-11, -2, 9
Let n(t) = -10*t**2 - t + 11. Let o(a) be the first derivative of 1/3*a**3 - 22 - a + 0*a**2. Let x(m) = 4*n(m) + 36*o(m). Factor x(q).
-4*(q - 1)*(q + 2)
Let l(w) be the third derivative of -w**5/12 + 415*w**4/8 - 1235*w**3/3 + 657*w**2 - w. Factor l(o).
-5*(o - 247)*(o - 2)
Let k(w) be the second derivative of -w**6/150 - 57*w**5/50 - 3569*w**4/60 - 3006*w**3/5 - 1458*w**2 + 1265*w + 2. Factor k(m).
-(m + 1)*(m + 5)*(m + 54)**2/5
Let l(u) be the first derivative of -u**3/12 - 233*u**2/8 - 986. Factor l(d).
-d*(d + 233)/4
Suppose -4*i = 4*y + 12, -35*y + 2*i = -36*y - 11. What is o in -20/7*o + 0 - 4/7*o**y - 16/7*o**4 + 24/7*o**3 + 16/7*o**2 = 0?
-5, -1, 0, 1
Let b(z) be the second derivative of z**6/720 - z**5/20 + 3*z**4/4 - 11*z**3/6 - 3*z**2 + 107*z. Let o(l) be the second derivative of b(l). Factor o(x).
(x - 6)**2/2
Let m(c) = -3*c**2 - 202*c - 9970. Let n(p) = -p**2 - p + 15. Let i(d) = -3*m(d) + 6*n(d). Factor i(z).
3*(z + 100)**2
Let j(q) = -2*q**3 + q. Let n be -3 - (18/(-15)*-5 - 3). Let c(m) = -5*m**3 + 3*m**2 - 13*m + 12. Let b(d) = n*j(d) + 2*c(d). Factor b(a).
2*(a - 2)*(a - 1)*(a + 6)
Let x(a) = -a**3 + 2*a. Let w = -109 - -110. Let k(z) = -3*z**3 + 5*z**2 - 4*z + 4. Let p(v) = w*k(v) - 2*x(v). Factor p(i).
-(i - 2)**2*(i - 1)
Let z(k) = -k**2 + 13*k + 27. Let j be z(-12). Let l = j + 823/3. Solve i + 0 + 1/3*i**3 - l*i**2 = 0 for i.
0, 1, 3
Let i(h) = 5*h**3 - 51*h**2 + 37*h + 16. Let b(v) = -7*v**3 + 72*v**2 - 55*v - 24. Let t(j) = -7*b(j) - 10*i(j). Determine s so that t(s) = 0.
-1, 8
Let s(j) be the first derivative of 2*j**3/39 + 12*j**2/13 - 170*j/13 - 10054. Factor s(y).
2*(y - 5)*(y + 17)/13
Let j(g) be the first derivative of 6/7*g**2 - 22/21*g**3 - 57 - 1/7*g**4 + 0*g. Factor j(d).
-2*d*(d + 6)*(2*d - 1)/7
Let z be 45/75*(4 + 1). Factor -129*j + 1 - 5*j**3 + 4*j**z + 3*j**2 - 1 + 127*j.
-j*(j - 2)*(j - 1)
Let r(f) = -15*f - 70. Let p be r(-6). Solve -5*n**2 - p*n**4 - 22*n**5 + 6*n**3 + 28*n**5 + 5*n**2 = 0 for n.
0, 1/3, 3
Let -6904 - 908*m**2 + 11268*m**2 + 12*m**3 - 682*m + 4290*m - 164*m = 0. Calculate m.
-863, -1, 2/3
Let u be (-4 - 0) + (-5 - -4)*4. Let j be 0 + 18/(-12)*u/6. Suppose 120*r**2 - 4*r**4 - 33*r**2 - 38*r**2 - 37*r**j - 8*r = 0. Calculate r.
-2, 0, 1
Factor -444/17*m - 2/17*m**2 + 896/17.
-2*(m - 2)*(m + 224)/17
Determine p, given that -203522*p**2 - 1235*p + p + 3 + 40*p - 11 - 1358*p = 0.
-2/319
Let l(y) = y**2 - 9*y + 2. Let p be l(9). Let s(a) be the first derivative of -6 + a**3 - 10*a**2 - 10 + 13*a**p. Factor s(t).
3*t*(t + 2)
Let y be ((-7)/(-2) - 2)*20/60*6. Let c(m) be the first derivative of 0*m + 16/11*m**y - 16/11*m**2 + 2/55*m**5 + 20 - 9/22*m**4. Factor c(r).
2*r*(r - 4)**2*(r - 1)/11
Let z = 77/46 - 1/138. Let g be 2/8 - ((-116)/48 + -4). Let z*x**2 + g*x + 20/3 = 0. Calculate x.
-2
Let f = 1348400 + -1348400. Let -2/3*q**3 + f*q + 0 + 18*q**2 = 0. What is q?
0, 27
Let m(r) be the third de