e the first derivative of b(j). What is s in z(s) = 0?
-1, 1, 2
Suppose -2*w - 12 = -5*w. Let m be ((-1)/(-4))/(w*(-3)/(-72)). Let 9/2 + m*c**2 + 6*c = 0. What is c?
-3, -1
Suppose z - 7 = -5*f, -2*f - 3*f + 3*z = -19. Let 0 - 1/6*h**f - 1/2*h = 0. What is h?
-3, 0
Let s(j) = -j**3 + 6*j**2 - 5*j + 1. Let w be s(5). Let r be (4 + w)*((-16)/(-14))/4. Find a such that -8/7*a**2 + r*a + 2/7*a**3 - 4/7 = 0.
1, 2
Let i(h) be the third derivative of -3/56*h**4 + 0*h + 0 - 3/140*h**5 - 1/280*h**6 - 1/14*h**3 - h**2. Factor i(f).
-3*(f + 1)**3/7
Let u(a) be the first derivative of -5*a**4/3 - 172*a**3/27 + 4*a**2/3 - 235. Factor u(l).
-4*l*(l + 3)*(15*l - 2)/9
Let z(a) = -a**3 + 7*a**2 - 11*a - 1. Let u be z(5). Let r be u + 2 - (-11)/(154/63). Find g, given that -1 + 1/2*g**2 + r*g = 0.
-2, 1
Let l(d) = d**2 + 27*d + 23. Let w(n) = 26*n + 24. Let o(q) = 2*l(q) - 3*w(q). Let o(r) = 0. Calculate r.
-1, 13
Suppose 867*v - 12762 = 1977. Factor 12 - 3/2*z**2 + v*z.
-(z - 12)*(3*z + 2)/2
Suppose 13 = -i + 5*z, 18*z - 22*z = 3*i - 18. Let x(j) be the second derivative of 0*j**i + 0*j**4 + 3/20*j**5 - 2*j**3 + 0 - 11*j. Solve x(o) = 0.
-2, 0, 2
Suppose 4*k - v = 15, 8*k + v = 4*k + 9. Let o(b) be the second derivative of 0*b**k - 3*b + 0 + 0*b**2 + 1/60*b**4. Factor o(h).
h**2/5
Let g = 9634 + -9631. Factor -3/4*f**g - 3/2*f**2 - 3/4*f + 0.
-3*f*(f + 1)**2/4
Let h(j) be the first derivative of 2*j**3 + 5*j**2/2 + 5*j - 53. Let k(r) = 1 + 17 + 4*r + 21*r**2 + 14*r. Let q(x) = 18*h(x) - 5*k(x). What is y in q(y) = 0?
0
Factor 28/9 - 2/9*g**2 + 26/9*g.
-2*(g - 14)*(g + 1)/9
Let j(r) be the second derivative of 2*r**6/135 + 43*r**5/45 + 221*r**4/9 + 8450*r**3/27 + 17576*r**2/9 + 436*r. Factor j(i).
4*(i + 4)*(i + 13)**3/9
Let z(m) = m**2 - 3*m + 14. Let d be z(4). Let c = 23 - d. Solve l**2 - l**4 - 1/3*l**3 - 1/3*l**c + 2/3*l + 0 = 0.
-2, -1, 0, 1
Let a(k) be the third derivative of k**5/630 - k**4/84 - 4*k**3/63 - 29*k**2. Factor a(f).
2*(f - 4)*(f + 1)/21
Let j(y) = 28*y**2 + 752*y + 488. Let a(r) = 9*r**2 + 251*r + 163. Let t(o) = 8*a(o) - 3*j(o). Factor t(z).
-4*(z + 20)*(3*z + 2)
Let g(r) be the second derivative of 1/80*r**5 - 1/8*r**4 + 3/8*r**3 - 1/2*r**2 + 17*r + 0. Factor g(v).
(v - 4)*(v - 1)**2/4
Factor 7*z - 8*z**3 - 2*z**2 - 18*z**2 + z + 18*z**4 + 2*z**4.
4*z*(z - 1)*(z + 1)*(5*z - 2)
Let m(u) = -3*u. Let w be m(-4). Factor -9*d**2 + 12*d**4 - 15*d**4 + w*d**3 + 7 - 7.
-3*d**2*(d - 3)*(d - 1)
Let j(l) = -l**3 + 6*l**2 - 3*l - 9. Let x be j(5). Let v be 2*((-2 - -2) + x). Factor -1/4*h**3 + 1/2*h**v + 0*h + 0 - 1/4*h**4.
-h**2*(h - 1)*(h + 2)/4
Let t = -8731/40 + 1092/5. Factor -1/4*v - t - 1/8*v**2.
-(v + 1)**2/8
Suppose 114 = j + 116. Let f be 2*(-6)/72*j. Find t such that 0*t + f*t**2 - 1/3 = 0.
-1, 1
Let l be (392/312 + -1)*24/40. Solve l*k**4 - 2/13*k**2 + 0 + 6/13*k**3 - 4/13*k - 2/13*k**5 = 0.
-1, 0, 1, 2
Suppose 2*g - 15 = -3*k, 0*g = 5*k - 2*g - 25. Factor 55*m + 92*m**3 + 156*m**3 + 135*m**k + 28*m**4 - 230*m**2 - 5 - 433*m**4 + 202*m**3.
5*(m - 1)**2*(3*m - 1)**3
Factor -16*s + 1/3*s**2 + 192.
(s - 24)**2/3
Determine t, given that 26/11*t**4 + 4/11*t**2 - 12/11*t**5 - 18/11*t**3 + 0*t + 0 = 0.
0, 1/2, 2/3, 1
Find z, given that -131/10*z - 2/5*z**3 - 109/10*z**2 - 13/5 = 0.
-26, -1, -1/4
Let f(m) = 2*m**2 - 17*m + 27. Let c be f(12). Let n be c/(-90) - (-3)/2. Factor -2/15*x**2 + n*x + 2/5.
-2*(x - 3)*(x + 1)/15
Suppose 0 + 0*q**2 + 3*q**3 + 3/2*q**4 + 0*q = 0. Calculate q.
-2, 0
Let t(v) be the second derivative of -v**4/8 - 5*v**3/8 - 3*v**2/4 - 344*v. Solve t(r) = 0 for r.
-2, -1/2
Let c(x) be the third derivative of 1/126*x**4 + 1/90*x**5 + 1/441*x**7 + 1/3528*x**8 + 0*x**3 + 1/140*x**6 - 22*x**2 + 0*x + 0. Factor c(v).
2*v*(v + 1)**3*(v + 2)/21
Let a(k) = -k**3 + 2*k**2 + 5*k - 3. Let j be a(3). Factor 2*v**2 - 8*v**j + 9*v**3 - v**4 + 0*v**2.
-v**2*(v - 2)*(v + 1)
Let r(k) be the second derivative of k**8/560 + k**7/140 - k**6/120 - k**5/20 + 7*k**3/2 - 18*k. Let u(i) be the second derivative of r(i). Factor u(s).
3*s*(s - 1)*(s + 1)*(s + 2)
Let x(s) be the second derivative of -s**4/27 + 28*s**3/27 - 26*s**2/9 - 3*s - 23. Solve x(y) = 0 for y.
1, 13
Let c be (-17)/34 - 2/((-4)/5). Factor 0*l**2 + 99 + l**2 - 6*l - 4*l**c - 90.
-3*(l - 1)*(l + 3)
Factor 19*k + 0*k - 35*k**4 + 35*k**2 - 9*k - 5*k**3 - 5*k**3.
-5*k*(k - 1)*(k + 1)*(7*k + 2)
Suppose 7*n - 3*n = 16. Let j be ((-3)/(-12))/(n/32). Let -l**2 + 4*l**j - 2*l - 4*l + 3*l**3 = 0. What is l?
-2, 0, 1
Suppose -3*s + 4 + 37 = d, -s = 5*d - 163. Let r(i) be the first derivative of -2/3*i**3 - d*i - 3 - 8*i**2. Factor r(t).
-2*(t + 4)**2
Let v(s) be the first derivative of -s**3/2 + 15*s**2/2 - 27*s/2 - 35. Suppose v(j) = 0. Calculate j.
1, 9
Let u(m) = -6*m**3 - 477*m**2 - 10098*m - 9609. Let y(r) = -3*r**3 - 239*r**2 - 5048*r - 4804. Let f(v) = 4*u(v) - 9*y(v). Let f(w) = 0. What is w?
-40, -1
Let t(v) be the third derivative of 1/30*v**6 + 0*v**3 + 0*v**4 + 11*v**2 + 0 + 0*v + 1/15*v**5 + 1/210*v**7. Factor t(u).
u**2*(u + 2)**2
Let t(a) = -4*a**3 - 3*a**2 + 3*a + 6. Let r(j) = -3*j**3 - 2*j**2 + 2*j + 4. Let c(n) = -3*r(n) + 2*t(n). Factor c(f).
f**3
Let r = -34 - -37. Factor r - 2*z**2 - 2*z - 3.
-2*z*(z + 1)
Let g be (2/(-4))/((-2)/12). Let k(j) = j**3 + 23*j**2 + 41*j - 18. Let f be k(-21). Suppose x**3 + 0*x**2 - g*x**2 - 2*x**3 + 4*x**f = 0. Calculate x.
0, 1
Let m(t) = t**4 - t**3. Let r be 23/3 + 10/(-15). Let o(j) = -3*j - 2 - r*j + 6*j + 8*j**4 + 3*j**3 - 5*j**3. Let y(a) = 6*m(a) - o(a). Factor y(d).
-2*(d - 1)*(d + 1)**3
Let s = 2/23671 - -497083/94684. Solve 3/4*f**3 + 9/2*f + 0 + s*f**2 = 0 for f.
-6, -1, 0
Suppose 38 = -18*d + 20*d. Determine t so that -t**3 - 19*t**2 - 2*t**4 - 14*t**4 - d*t**3 - 4*t**5 + 11*t**2 = 0.
-2, -1, 0
Let d(p) be the first derivative of -2*p**6/21 + 2*p**5/5 - 9*p**4/14 + 10*p**3/21 - p**2/7 + 51. Find f, given that d(f) = 0.
0, 1/2, 1
Let c(q) be the second derivative of q**4/12 + q. Let i(k) = 7 + 8*k**2 + 3*k - 5 - 2. Let o(x) = -5*c(x) + i(x). Suppose o(h) = 0. What is h?
-1, 0
Let k(g) be the first derivative of 3/4*g**4 - 15/2*g**2 - 9*g - g**3 + 10. Suppose k(a) = 0. Calculate a.
-1, 3
Let c(t) be the second derivative of t**4/96 + 5*t**3/6 + 39*t**2/16 - 79*t. Factor c(g).
(g + 1)*(g + 39)/8
Let r(j) = -j**2 - 116*j - 2631. Let l be r(-31). Suppose 24 - 136/3*q**2 - 20*q - 8/3*q**l - 20*q**3 = 0. What is q?
-3, -2, 1/2
Let p(x) be the second derivative of x**7/1365 - 7*x**6/780 + x**5/26 - 3*x**4/52 + 5*x**2 + x. Let b(m) be the first derivative of p(m). Factor b(c).
2*c*(c - 3)**2*(c - 1)/13
Let l(k) = -k**2 + 6*k - 3. Let j = 13 + -10. Let y be l(j). Factor 1 - y*i**2 + 6*i**4 - 1 + 3*i - 3*i**5.
-3*i*(i - 1)**3*(i + 1)
Let q(w) be the first derivative of 5/6*w**6 - 15/4*w**4 - 1 + 0*w + 0*w**5 - 10/3*w**3 + 0*w**2. Solve q(d) = 0.
-1, 0, 2
Let r(n) be the second derivative of -13*n**6/80 + 9*n**5/20 - 9*n**4/32 - n**3/8 + 482*n. Determine p, given that r(p) = 0.
-2/13, 0, 1
Let f(q) be the first derivative of -2*q**5/25 - q**4/10 + 4*q**3/3 - 8*q**2/5 - 220. Factor f(n).
-2*n*(n - 2)*(n - 1)*(n + 4)/5
Let k(i) = 1 - 6*i**3 + 11 - 29*i**2 + 17*i - 1 + 16*i**3. Let z(s) = -9*s**3 + 28*s**2 - 18*s - 10. Let h(f) = -4*k(f) - 6*z(f). Determine p so that h(p) = 0.
-2/7, 2
Let b be 3/(-7) + 2025/21. Solve -92 + b + 2*h - 3*h**3 - 4*h**2 + h**3 = 0 for h.
-2, -1, 1
Suppose 363/4*a + 435/2*a**2 + 213*a**3 + 33/4*a**5 + 21/2 + 84*a**4 = 0. What is a?
-7, -1, -2/11
Let n(y) be the second derivative of -2*y**2 - 20*y + 0 - 5/2*y**4 - 17/3*y**3. Determine k so that n(k) = 0.
-1, -2/15
Solve -16/5*z + 3 - 14/5*z**2 - 1/5*z**4 + 16/5*z**3 = 0.
-1, 1, 15
Suppose -34 + 12 = -11*k. Factor 3*h**2 - 6 - 3*h**2 + k*h**2 - 4*h.
2*(h - 3)*(h + 1)
Let r = 8924/93261 - 2/4441. Let i(q) be the third derivative of 0 + 0*q + 1/84*q**4 - r*q**3 + 1/105*q**5 + 7*q**2 - 1/420*q**6. Factor i(h).
-2*(h - 2)*(h - 1)*(h + 1)/7
Suppose 0 = 8*q - 83 + 67. Let u(o) be the first derivative of -6*o**q + 2 + 0*o - 4/3*o**3. Factor u(s).
-4*s*(s + 3)
Let i(v) = 15*v**2 - 70*v + 670. Let t(b) = -b**2 + 5*b - 48. Let h(k) = -6*i(k) - 85*t(k). Factor h(z).
-5*(z - 3)*(z + 4)
Let v(j) be the second derivative of -j**6/105 + j**4/42 - 362*j. Factor v(f).
-2*f**2*(f 