 + g + 4. Let q be y(-2). Let b be q + 1 - (-1375)/225. Solve -b*x**2 + 4/9 - 2/3*x = 0.
-1, 2/5
Let m = -531 - -3191/6. Let f(z) be the first derivative of -3 - z - 3/4*z**2 + m*z**3. Factor f(p).
(p - 1)*(5*p + 2)/2
Let j(w) be the first derivative of -w**6/8 + w**5/10 + 5*w**4/8 - w**3 + 7*w**2 + 5. Let m(s) be the second derivative of j(s). Factor m(c).
-3*(c - 1)*(c + 1)*(5*c - 2)
Let j(n) be the first derivative of -n**4/18 - 14*n**3/9 - 11*n**2 + 242*n/9 - 16. Find l such that j(l) = 0.
-11, 1
Let y = 8627/3 - 2869. Solve -85/3*r**4 + 65/3*r**2 - 55/3*r**3 - 25/3*r**5 + y + 80/3*r = 0.
-2, -1, -2/5, 1
Let x be ((-1242)/(-3381))/(-2 - (-36)/14). Let b(c) be the second derivative of -1/7*c**3 + x*c**2 - 1/28*c**4 + 0 + 4*c. Solve b(z) = 0.
-3, 1
Let t(a) be the second derivative of a**9/4536 - a**7/630 + a**5/180 - 2*a**3 - 20*a. Let z(i) be the second derivative of t(i). Factor z(x).
2*x*(x - 1)**2*(x + 1)**2/3
Suppose 0 = 22*u - 17*u - 10. Factor -15*a**2 + 32*a**u - 22*a**2 - 30*a.
-5*a*(a + 6)
Factor -3/4*j**4 - 63/4*j**3 - 75*j + 0 - 90*j**2.
-3*j*(j + 1)*(j + 10)**2/4
Let l = -102 - -99. Let z be -2 - (l + (4 - 3)). Factor 4/5*g**3 + 0 - 2/5*g**4 + 0*g**2 + z*g.
-2*g**3*(g - 2)/5
Let z be 3*(-10*7/(-196))/(2/7). Solve -3/4*x**3 + z*x**2 + 3 - 6*x = 0 for x.
1, 2
Let t(p) be the first derivative of -p**3/6 + 25*p**2/6 - 16*p/3 - 6. What is b in t(b) = 0?
2/3, 16
Let g(v) be the second derivative of v**6/120 - 9*v**5/40 + 31*v**4/16 - 10*v**3/3 - 24*v**2 - 9*v + 7. Factor g(a).
(a - 8)**2*(a - 3)*(a + 1)/4
Let k(a) = a**2 - 27*a + 12. Let m(f) = -f**2 + 25*f - 9. Let y(o) = -3*k(o) - 4*m(o). Factor y(n).
n*(n - 19)
Let v(h) be the first derivative of -h**4/18 - 92*h**3/9 - 2116*h**2/3 - 194672*h/9 - 545. Find d, given that v(d) = 0.
-46
Let p be -2 + (0 + 0)/(-3). Let a be p + (16/2)/4. Find j such that a*j**4 - 6*j**4 + 3*j**5 + 9*j**4 = 0.
-1, 0
Find d such that -9*d - 3/5*d**3 - 27/5*d**2 - 21/5 = 0.
-7, -1
Solve 20/3*d**3 + 2 + 4/3*d**4 - d**5 - 10/3*d**2 - 17/3*d = 0 for d.
-2, -1, 1/3, 1, 3
Let d(s) be the third derivative of s**6/240 - 9*s**5/2 + 2025*s**4 - 486000*s**3 - 5*s**2 + 75. Factor d(k).
(k - 180)**3/2
Let r(g) = -6*g**3 - 12*g**2 - 6*g - 2. Let f(n) = 2*n - n**3 - 2 + 1 - 2*n + n. Let h(x) = 2*f(x) - r(x). Factor h(d).
4*d*(d + 1)*(d + 2)
Let 90*m + 18*m**3 - 129/2*m**2 - 3/2*m**4 - 42 = 0. What is m?
1, 2, 7
Suppose 2*m + 5 = 3*k, -3*m + 8*m = k + 20. Let l(j) be the first derivative of -3/2*j**2 - 2*j**3 + 1/2*j**6 + 0*j - 9 + 0*j**4 + 6/5*j**m. Factor l(q).
3*q*(q - 1)*(q + 1)**3
Let a(x) be the third derivative of x**8/336 - 4*x**7/105 + 5*x**6/24 - 19*x**5/30 + 7*x**4/6 - 4*x**3/3 + 2*x**2 - 20*x. Factor a(m).
(m - 2)**3*(m - 1)**2
Let z be (-540)/(-1989) - 8/68. Factor -6/13 + z*r**3 - 2/13*r + 6/13*r**2.
2*(r - 1)*(r + 1)*(r + 3)/13
Factor -69*q + 0*q**2 - 355 + 15*q**2 - 333 + 760.
3*(q - 3)*(5*q - 8)
Let h(p) = -2*p**3 - 16*p**2 - 11*p + 2. Let b be h(0). Find r such that -12/5*r**4 - 34/5*r**3 + 0 + 6/5*r**b + 0*r = 0.
-3, 0, 1/6
What is f in -18/13*f - 2/13*f**2 - 28/13 = 0?
-7, -2
Suppose -4*r = -5 - 3. Suppose 4*i - 7 + 10*i**r + 7 - 14*i**2 = 0. What is i?
0, 1
Let 2/15*p**3 + 0 - 56/15*p + 8/5*p**2 = 0. Calculate p.
-14, 0, 2
Suppose -452*o + 1 = 3 - 2. Let u be (1/3)/((-14)/(-18)). Factor -u*s**5 + o + 6/7*s**3 - 3/7*s + 0*s**2 + 0*s**4.
-3*s*(s - 1)**2*(s + 1)**2/7
Factor 1 + 2*q**3 + 10/3*q + 1/3*q**4 + 4*q**2.
(q + 1)**3*(q + 3)/3
Solve -3/5*d**3 + 0*d + 1/5*d**4 + 0 + 2/5*d**2 = 0.
0, 1, 2
Let d(l) = -l**2 - 2*l + 12. Let f(q) = -q + 1. Let u(j) = 3*d(j) - 12*f(j). Let u(k) = 0. What is k?
-2, 4
Let r(b) be the second derivative of 0*b**3 - 1/11*b**2 - 1/165*b**6 - 9*b + 1/33*b**4 + 0*b**5 + 0. Find l such that r(l) = 0.
-1, 1
Suppose -5*m - f + 4*f = -17, 0 = 2*m - f - 7. Let z(b) be the first derivative of 15*b**2 - 10 + 1/2*b**m - 14/3*b**3 - 18*b. Let z(w) = 0. What is w?
1, 3
Suppose -g - 169 = -171. Let 4*k**2 - k**2 - 2 + 4*k - 5*k - 2*k**g = 0. What is k?
-1, 2
Let d(m) be the second derivative of m**4/18 - m**3 + 11*m. Suppose d(g) = 0. What is g?
0, 9
Let o(s) be the first derivative of 5*s**9/3024 - s**8/336 - s**7/168 + s**6/72 + 5*s**3/3 + 25. Let a(b) be the third derivative of o(b). Factor a(t).
5*t**2*(t - 1)**2*(t + 1)
Let c(d) = -d + 15. Let z(o) = -o**2 - 11*o - 3. Let u be z(-10). Let q be c(u). Determine l so that -q*l - l**2 + 12 - 4*l + 4*l**2 = 0.
2
Let y be ((-2)/(-32))/(9/6). Let l(k) be the second derivative of -y*k**4 + 2*k + 0 + 0*k**2 - 1/12*k**3. Suppose l(d) = 0. Calculate d.
-1, 0
Let z = 14502 - 14499. Let 13/6*m**z - 3/2*m**2 + 13/6*m**4 - 2/3 + 1/2*m**5 - 8/3*m = 0. What is m?
-2, -1, -1/3, 1
Suppose 67*f = 123*f. Factor -3/2*r**4 + 0*r + f + 3*r**3 + 9/2*r**2.
-3*r**2*(r - 3)*(r + 1)/2
Suppose 2*l + 18 - 14 = 0. Let o be ((2 + -2)/(-3))/l. Factor o - 2/7*c**2 + 0*c.
-2*c**2/7
Let s be -1*(-1 - 18/6). Let q(c) be the third derivative of 0*c**3 + 4*c**2 + 0*c + 0 + 1/40*c**s + 1/300*c**5. Factor q(u).
u*(u + 3)/5
Let x be (-72)/27 - (-147)/45. Let s(a) be the first derivative of -x*a**2 + 5 + 39/25*a**5 - 1/5*a**3 + 1/2*a**6 + 0*a + 27/20*a**4. Factor s(g).
3*g*(g + 1)**3*(5*g - 2)/5
Solve -6*y - 289*y**2 - 296*y**2 - 54 + 593*y**2 = 0 for y.
-9/4, 3
Suppose -9*g - 3*i + 30 = 0, -i - 22 = -10*g + 5*g. Find l such that -2/5*l**5 + 4/5*l**3 + 4/5 + 16/5*l**2 + 14/5*l - 4/5*l**g = 0.
-1, 2
Let v(q) be the second derivative of q**8/16800 - q**7/6300 - q**6/900 - 13*q**4/6 - 41*q. Let m(o) be the third derivative of v(o). Factor m(f).
2*f*(f - 2)*(f + 1)/5
Let v(p) = -16*p + 5. Let k be v(2). Let w = -27 - k. Let 2/5*r - 2/5*r**3 + w*r**2 + 0 = 0. What is r?
-1, 0, 1
Let k = 645 + -637. Let a(l) be the first derivative of 2*l**2 + 3 + k*l + 1/6*l**3. Find f such that a(f) = 0.
-4
Let l(u) be the first derivative of u**5/40 + 5*u**4/48 - u**3/6 - 24*u**2 - 5. Let z(h) be the second derivative of l(h). Factor z(v).
(v + 2)*(3*v - 1)/2
Let b(g) be the third derivative of g**9/20160 + g**8/6720 + 11*g**5/30 + 9*g**2 - g. Let d(s) be the third derivative of b(s). Find r, given that d(r) = 0.
-1, 0
Let p = -156 - -625/4. Let v(r) be the first derivative of -1/12*r**3 - p*r + 4 + 1/4*r**2. Find q such that v(q) = 0.
1
Let l be 1167/63 + (-321)/(-2247). Determine u so that 32/3*u**3 - 3*u**4 + 16*u - l*u**2 - 16/3 + 1/3*u**5 = 0.
1, 2
Let o = 613/86724 - -1/1971. Let l(c) be the third derivative of o*c**4 + 0 + 1/330*c**5 - 10*c**2 + 0*c**3 + 0*c. Let l(d) = 0. Calculate d.
-1, 0
Suppose 5*x - 47 = -32. Suppose 0*t = -4*t + 16. What is l in -2*l**x + 8 - 2*l**t - 8 = 0?
-1, 0
Let r = 65 - 60. Let t be r*(1 - 129/135). Let -t*w + 2/9*w**3 - 2/3*w**2 + 4/9 + 2/9*w**4 = 0. What is w?
-2, -1, 1
Let k = -3314 + 23200/7. Factor 0*s + k*s**2 - 10/7*s**3 + 8/7*s**4 + 0.
2*s**2*(s - 1)*(4*s - 1)/7
Let v(z) = -z**4 - 3*z**3 - 3*z**2 + 3*z. Let s(d) = 1 + d + 0*d**4 - d**3 - 2*d - d**4. Let l(h) = -2*s(h) + v(h). Factor l(x).
(x - 1)**3*(x + 2)
Suppose 0 = -8*a + 5 + 3. Determine y, given that 5*y**2 + a + 5*y + 3 - 4 = 0.
-1, 0
Suppose -132*j + 159 = 41 - 146. Determine o so that -1/3*o**3 + 9 + 3*o**j - 9*o = 0.
3
Let p(q) be the first derivative of 1/16*q**2 + 0*q**4 + 1/12*q**3 + 0*q - 1/20*q**5 - 1/48*q**6 - 23. Let p(f) = 0. Calculate f.
-1, 0, 1
Let b(t) be the third derivative of -t**5/140 + 3*t**4/28 - 4*t**3/7 + 3*t**2 - 59*t. Let b(g) = 0. What is g?
2, 4
Let k(g) be the second derivative of -g**5/10 - 2*g**4 - 16*g**3 - 64*g**2 - g + 43. Factor k(f).
-2*(f + 4)**3
Let -3 + 31/4*f + 2*f**3 - 1/8*f**4 - 53/8*f**2 = 0. What is f?
1, 2, 12
Let p(v) be the first derivative of -4*v**3/3 + 58*v**2 - 112*v - 57. Factor p(u).
-4*(u - 28)*(u - 1)
Let g be (-1204)/(-645) - -4*5*3/(-36). Find r such that -3/5*r**4 + 17/5*r**2 + 19/5*r + g*r**3 + 6/5 = 0.
-1, -2/3, 3
Let c = -71 + 73. Factor 26*j**3 - 14*j**3 + 3*j - 11*j**3 - 4*j**c.
j*(j - 3)*(j - 1)
Let i(x) be the second derivative of 0*x**2 - x**3 - 21/10*x**5 - 9/4*x**4 + 0 - 1/7*x**7 + 20*x - 9/10*x**6. Find w such that i(w) = 0.
-2, -1, -1/2, 0
Let q(n) be the first derivative of -5*n**6/6 - 10*n**5 + 55*n**4/4 - 94. Suppose q(s) = 0. What is s?
-11, 0, 1
Let k = -76 + 79. Suppose -4*t + 4*b = 2*b - 18, 7 = 2*t + b. Factor 5