 -7*(-18)/(-45). Factor 4*c - 5*c**3 - 44*c**2 + 21*c**3 + 4*c**n + 86*c**2.
2*c*(c + 2)*(10*c + 1)
Let q = 1029 + -1025. Let j(o) be the second derivative of 0*o**2 + 0*o**4 + q*o - 5/6*o**6 + 1/4*o**5 + 0*o**3 + 0. Suppose j(d) = 0. What is d?
0, 1/5
Let c(m) be the second derivative of m**6/120 + 11*m**5/20 + 23*m**4/3 + 122*m**3/3 + 102*m**2 - 251*m + 3. Suppose c(t) = 0. What is t?
-34, -6, -2
Find a, given that 1/6*a**4 - 59/6 + 10*a + 29/3*a**2 - 10*a**3 = 0.
-1, 1, 59
Let r(i) be the second derivative of -i**5/120 + 59*i**4/72 - 70*i**3/3 - 75*i**2 - i + 26. Factor r(l).
-(l - 30)**2*(l + 1)/6
Let j(k) be the second derivative of 1/30*k**6 - 1/9*k**3 + 1/12*k**4 + 0 + 102*k + 2/15*k**5 + 0*k**2. What is t in j(t) = 0?
-2, -1, 0, 1/3
Solve -588 - 43/3*i**2 + 322*i + 1/6*i**3 = 0 for i.
2, 42
Let s(i) be the first derivative of i**5/10 + i**4 + 4*i**3 + 8*i**2 + 5*i - 62. Let d(q) be the first derivative of s(q). Factor d(g).
2*(g + 2)**3
Let a(v) be the third derivative of -v**6/720 - 23*v**5/360 + 53*v**4/144 + 25*v**3/12 + 1444*v**2. Factor a(f).
-(f - 3)*(f + 1)*(f + 25)/6
Let l(a) be the second derivative of -a**4/72 - 5*a**3/4 - 11*a**2/3 + 1484*a. Factor l(z).
-(z + 1)*(z + 44)/6
Let -13*i - 10*i**2 + 28*i**2 - 14*i**2 - 11*i = 0. What is i?
0, 6
Let v(k) be the first derivative of -k**6/3 + 18*k**5/5 - 7*k**4/2 - 6*k**3 + 8*k**2 + 1433. Solve v(l) = 0.
-1, 0, 1, 8
Let r(m) be the third derivative of m**7/1260 + m**6/360 - m**5/5 + 2*m**4/3 + 7*m**3/6 - 30*m**2 - 1. Let p(f) be the second derivative of r(f). Factor p(z).
2*(z - 3)*(z + 4)
Let l(r) = 12*r**4 - 4*r**3 - 168*r**2 + 190*r - 5. Let k(s) = 5*s**4 - 2*s**3 - 85*s**2 + 94*s - 2. Let x(y) = 5*k(y) - 2*l(y). Let x(p) = 0. Calculate p.
-9, 0, 1, 10
Determine x so that -81/5*x**3 - 6/5*x**4 + 714/5*x**2 + 96 - 1296/5*x = 0.
-20, 1/2, 2, 4
Let o be 8/6 - (0 - -1). Let n = 696601/3 - 232200. Determine s, given that -n*s**2 + 2/3*s - o = 0.
1
Let w = -6/12685 + 12697/25370. Solve 5/2*a + 0 - w*a**3 + 2*a**2 = 0 for a.
-1, 0, 5
Suppose -9 = 4*q + 2*j - 285, -2*j = 4. Let 85*g**2 - 92 - 97 + 335 - 92 - 94 - q*g + 25*g**3 = 0. What is g?
-4, -2/5, 1
Let z(r) be the third derivative of -2*r**7/105 - 41*r**6/15 - 828*r**5/5 - 16399*r**4/3 - 316342*r**3/3 - 21*r**2 + 43*r + 2. Let z(f) = 0. Calculate f.
-23, -13
Let v(g) be the second derivative of g**5/80 + 85*g**4/48 + 41*g**3/4 + 6*g - 2. Factor v(t).
t*(t + 3)*(t + 82)/4
Let h(q) = 5*q**4 - 3*q**3 + q**2 - q - 1. Let o(c) = 55*c**4 - 260*c**3 - 975*c**2 - 760*c - 10. Let d(k) = -10*h(k) + o(k). Factor d(z).
5*z*(z - 50)*(z + 1)*(z + 3)
Let a = 4107/5492 + 3/1373. Let r(l) be the first derivative of 18 - a*l - 1/12*l**3 - 1/2*l**2. Find t such that r(t) = 0.
-3, -1
Let d(s) be the second derivative of -8/5*s**5 - 22/3*s**4 - 38*s - 2/15*s**6 + 0 - 18*s**2 - 16*s**3. Solve d(g) = 0.
-3, -1
Let c(s) be the second derivative of -s**5/20 + 2*s**4/3 - 7*s**3/6 + s + 142. Let c(h) = 0. Calculate h.
0, 1, 7
Let f(d) = 10*d + 123. Let l be f(-12). Factor 39*b**2 + 124 + 3*b**3 + 133*b - 253*b - 16 - 3*b**l - 3*b**3.
-3*(b - 9)*(b - 2)**2
Let s(c) = 6*c + 41. Let p be s(-7). Let m be 1*(-3)/6*0/p. Determine r, given that 0*r**4 - 1/2*r + r**3 - 1/2*r**5 + 0*r**2 + m = 0.
-1, 0, 1
Determine k, given that 1551/7*k + 1548/7 + 3/7*k**2 = 0.
-516, -1
What is r in -4720*r**2 - 6112*r - 3*r**5 + 176*r**2 - 176*r**4 - 1488*r**3 - 12770 + 9698 + 5*r**5 = 0?
-2, 96
Let o = -75 + 75. Let u(c) be the third derivative of 0*c**5 + 0*c - 1/420*c**7 - 1/1344*c**8 + 36*c**2 + 0*c**3 + 1/160*c**6 + 0 + o*c**4. Factor u(l).
-l**3*(l - 1)*(l + 3)/4
Let q = -51 - -57. Suppose -3*b + q = -2*b - s, 0 = 2*b - 5*s - 21. Factor -4*o**2 - 32*o**3 + 1 + 3 - 4*o + 36*o**b.
4*(o - 1)**2*(o + 1)
Let v(b) be the first derivative of -b**7/315 + 17*b**6/720 - b**5/90 - b**2 + 194*b - 282. Let k(r) be the second derivative of v(r). Factor k(x).
-x**2*(x - 4)*(4*x - 1)/6
Factor 266/15*k**3 + 0 - 272/15*k**2 + 8/15*k - 22/5*k**4.
-2*k*(k - 2)**2*(33*k - 1)/15
Let b(s) be the first derivative of 4*s**3/3 + 136*s**2 + 268*s + 1268. Factor b(y).
4*(y + 1)*(y + 67)
Suppose -2*t - 3*o = 7, 2*t - 4*o + o - 23 = 0. Let x(d) = 260*d + 1823. Let c be x(-7). Factor 4*g**4 + g**4 - 2*g**c + 5*g**3 - 8*g**t - 6*g**5.
-3*g**3*(g + 1)*(2*g - 1)
Let t = -53604/5 + 10732. Factor 4/5*r**2 + 12*r + t.
4*(r + 1)*(r + 14)/5
Let i(t) be the third derivative of -t**5/80 + 329*t**4/16 - 108241*t**3/8 + 12*t**2 + 31*t. Determine j so that i(j) = 0.
329
Let g(j) = -j**2 + 15*j - 17. Let o be g(5). Let f = o - 31. Solve 34 + 24 - 22 + 4*b**f + 24*b = 0 for b.
-3
Let k(j) be the second derivative of j**6/120 - j**5/80 - 3*j**4/16 + 3*j**3/8 - 2157*j. Factor k(a).
a*(a - 3)*(a - 1)*(a + 3)/4
Let v(l) be the first derivative of l**6/16 + 21*l**5/40 - 51*l**4/32 - 99*l**3/8 + 81*l**2/2 - 81*l/2 + 2368. Solve v(x) = 0.
-6, 1, 3
Let w(x) = -28*x**3 - 2*x**2 - 38*x - 22. Let y(r) = 5*r**3 + r + 9. Let z(f) = 2*w(f) + 12*y(f). Factor z(j).
4*(j - 4)*(j - 1)*(j + 4)
Let u(a) be the first derivative of 635*a**3/3 + 373*a**2/2 + 76*a - 274. Let c(r) = 318*r**2 + 186*r + 37. Let d(n) = -13*c(n) + 6*u(n). Factor d(t).
-(18*t + 5)**2
Let c(v) be the first derivative of -2*v**5/5 + 1111*v**4/8 - 38503*v**3/3 - 19321*v**2/4 + 4516. Suppose c(q) = 0. Calculate q.
-1/4, 0, 139
Let k(v) = 2*v**5 - 8*v**4 - 16*v**3 + v**2 - 7*v - 14. Let o(c) = -c**5 + 10*c**4 + 17*c**3 + 6*c + 12. Let l(n) = 6*k(n) + 7*o(n). Factor l(h).
h**2*(h + 1)*(h + 3)*(5*h + 2)
Let h(c) = 2*c**2 + 12*c - 72. Let x be h(-10). Let g be 50/x + -1 - (-50)/(-10). Factor -3/4*m**3 - g*m**2 - 1/4*m**5 - 3/4*m**4 + 0 + 0*m.
-m**2*(m + 1)**3/4
Factor -17313921/7*u**2 + 37449/7*u + 2668267603/7*u**3 - 27/7.
(1387*u - 3)**3/7
Let u(m) = -69*m**3 - 3*m**2 - m + 1. Let b be u(-1). Let k = b - -8. Find j such that 73*j**2 - 5*j**3 + 9*j**3 - k*j**2 - 9*j - 2 = 0.
-1, -1/4, 2
Suppose 0*v - 2*c + 40 = 3*v, v - 5*c = 2. Let y be (-9)/v*(130/(-117) + -2). Suppose -2*f + y - 1/3*f**2 = 0. What is f?
-7, 1
Let b be 15 - (13 + 258/301). Solve b + 10/7*c**3 + 32/7*c + 34/7*c**2 = 0 for c.
-2, -1, -2/5
Let f = 78 - 76. Determine a so that -43*a**2 - 51*a**2 - 25*a + 138*a**f - 49*a**2 = 0.
-5, 0
Let d = -18423 + 18428. Let g(t) be the second derivative of 0 - 23*t + 0*t**3 - 1/3*t**4 - 1/10*t**d + 0*t**2. Solve g(j) = 0.
-2, 0
Let c be 846/564*4/(-3)*(2/(-2) - 0). Let n = 122/33 + -15/11. Factor -n - 2*b + 1/3*b**c.
(b - 7)*(b + 1)/3
Let l be (-5 + 61/(-3))*-6. Factor -72*h**3 + l*h + 341*h**2 + 151*h**2 + 4*h**4 - 1016*h - 60*h**2.
4*h*(h - 6)**3
Let i(r) be the second derivative of r**5/120 + 35*r**4/48 + 175*r**2/2 + 30*r + 1. Let k(n) be the first derivative of i(n). Factor k(l).
l*(l + 35)/2
Let u be 100/(-57)*57/(-95). Factor -54/19*v**2 + 10/19*v**3 + u*v + 0.
2*v*(v - 5)*(5*v - 2)/19
Let i(c) = -2*c**3 + 2*c**2. Let m be 9/9*-7 - -8. Let k(w) = 22*w**3 - 20*w**2 - 6*w + 4. Let x(a) = m*k(a) + 8*i(a). Find s, given that x(s) = 0.
-1, 2/3, 1
Let y(v) be the second derivative of -v**6/30 - 161*v**5/4 - 18023*v**4 - 9732152*v**3/3 - 9624416*v**2 + 2*v + 903. Factor y(m).
-(m + 1)*(m + 268)**3
Suppose -3*r + 3*r + 7*r = 0. Suppose r = -33*g + 186 + 111. Find x such that 9/2*x**4 + 3/4*x**5 + 39/4*x**3 + 0 + 3*x + g*x**2 = 0.
-2, -1, 0
Suppose -4*p + u + 2 = -5, 4*p + 5*u = 13. Factor -4194*j + 4330*j + 19*j**2 - 5*j**p - 40.
2*(j + 10)*(7*j - 2)
Let k = -20698 - -20698. Let w(g) be the third derivative of 0 + 1/40*g**4 + k*g**3 + 1/300*g**5 + 0*g - g**2. Factor w(d).
d*(d + 3)/5
Let w(a) be the second derivative of -2 - 81/4*a**2 - 1/24*a**4 - 3/2*a**3 + 39*a. Factor w(b).
-(b + 9)**2/2
Let t(c) = -2*c**3 - 22*c**2 + 31*c + 608. Let x be t(-9). Factor -155/3*l**2 - 170/3*l - x.
-5*(l + 1)*(31*l + 3)/3
Let f(n) be the first derivative of -5*n**4/4 - 355*n**3/3 - 680*n**2 - 1340*n - 1075. Factor f(s).
-5*(s + 2)**2*(s + 67)
Suppose 7*k - 2*k = 3*b - 34, -3*k = -3*b + 24. Suppose b*l = -6*l + 72. Factor -2*s**4 - 2*s**2 - l*s**5 + 2*s**3 + 6*s**5 + 4*s**4.
-2*s**2*(s - 1)**2*(s + 1)
Let g = -98 - -108. Let s(l) = -4*l**3 + 20*l**2 + 4*l - 20. Let h(w) = 2*w**3 - 10*w**2 - 2*w + 10. Let d(t) = g*h(t) + 4*s(t). Solve d(b) = 0.
-1, 1, 5
Factor -1/7*s**2 + 0 - 1839/7*s