 2)**2*(3*z + 1)/3
Let r(v) be the first derivative of v**4/12 + 4*v**3/3 + 8*v**2 + 64*v/3 - 117. Let r(a) = 0. What is a?
-4
Let m(h) be the third derivative of -h**5/20 - 11*h**4/8 + 6*h**3 - 49*h**2. What is s in m(s) = 0?
-12, 1
Let n(z) be the first derivative of -z**7/1050 + z**5/150 - z**3/30 + 3*z**2/2 - 14. Let f(l) be the second derivative of n(l). Factor f(k).
-(k - 1)**2*(k + 1)**2/5
Let x = -54 + 59. Solve 7*i - 2*i**4 + 0*i**x + 3 + 2*i**3 + 4*i**5 - 1 - 5*i**5 + 8*i**2 = 0.
-1, 2
Let a(n) be the second derivative of 5*n**4/36 - 175*n**3/9 + 6125*n**2/6 + 3*n - 6. Let a(k) = 0. What is k?
35
Solve 1/2*y - 27/2*y**4 - y**3 + 1/2*y**5 + 27*y**2 - 27/2 = 0 for y.
-1, 1, 27
Let y(c) = 6*c**2 + 5*c. Let r(l) = -2*l**2 - 2*l. Let w(o) = -17*r(o) - 6*y(o). Factor w(z).
-2*z*(z - 2)
Suppose -6*z**3 + 16*z**3 + 4*z**5 - 24*z + 30*z**2 + 10*z**3 - 17*z**4 - 2*z**2 - 11*z**4 = 0. Calculate z.
-1, 0, 1, 6
Let a(w) be the first derivative of -33*w**4/16 + 5*w**3/2 + 39*w**2/8 - 9*w + 300. Solve a(l) = 0.
-12/11, 1
Let h(c) = 2*c**5 - 7*c**4 - 12*c**3 - c**2 + 4*c. Let p(y) = -2*y**5 + 8*y**4 + 12*y**3 + y**2 - 4*y. Let q(r) = 3*h(r) + 2*p(r). What is a in q(a) = 0?
-1, 0, 1/2, 4
Let g be (6 - (-19)/(-2))*2. Let p(y) = y**2 + 8*y + 7. Let a be p(g). Factor a*z**4 + 0 + 3/4*z + 0*z**2 - 3/2*z**3 + 3/4*z**5.
3*z*(z - 1)**2*(z + 1)**2/4
Let d(t) be the second derivative of -t**4/8 + 5*t**3/4 - 3*t**2 - 92*t. Factor d(x).
-3*(x - 4)*(x - 1)/2
Let o(n) = 4*n**2 + 41*n - 22. Let d(s) = 21*s**2 + 204*s - 109. Let y(w) = 2*d(w) - 11*o(w). Let u be y(-22). Factor 3/4*c**u + 0 - 3/4*c.
3*c*(c - 1)/4
Factor 2/3*w**3 - 18/7*w**2 + 2/21*w**4 + 58/21*w - 20/21.
2*(w - 1)**3*(w + 10)/21
Let -2 - 2*a**4 + 4*a**2 - 1/2*a**5 - 1/2*a + a**3 = 0. Calculate a.
-4, -1, 1
Let y(i) be the first derivative of -i**4/14 - 22*i**3/21 - 10*i**2/7 + 25. Determine w so that y(w) = 0.
-10, -1, 0
Let k(y) be the third derivative of -1/14*y**4 + 2/7*y**3 + 2*y**2 + 0*y + 0 + 1/140*y**5. Let k(j) = 0. What is j?
2
Suppose 2*u - 6*u + 8 = 0. Let c(o) = -o**3 + 2*o**2 + 2*o - 2. Let h be c(u). Factor 9*l - 3*l**2 - 6 - l**h + 2*l**2 - l**2.
-3*(l - 2)*(l - 1)
Let v(l) = l**2 - l. Suppose 3*q - 15 = -r, -7*r = -3*r - 2*q - 18. Let b(n) = -10*n**2 + 94*n - 484. Let k(z) = r*v(z) + b(z). Suppose k(i) = 0. What is i?
11
Suppose -3*q = -5*o + 3*o + 95, -5*q = -5*o + 225. Let g(p) = 65*p**2 + 90*p - 520. Let j(w) = 5*w**2 + 7*w - 40. Let v(y) = o*j(y) - 3*g(y). Factor v(n).
5*(n - 2)*(n + 4)
Let v(z) be the first derivative of z**4/4 + 5*z**3 + 7*z**2 + 2*z - 101. Let y be v(-14). Suppose 0*h - 2/9*h**y + 8/9 = 0. Calculate h.
-2, 2
Let j be 9292/598 - (1 - -7). Let 32/13 + j*l**2 + 112/13*l = 0. Calculate l.
-4/7
Let p be -5 + 1 - -456 - -3. Let w = 5923/13 - p. Suppose w*d**5 - 14/13*d**3 + 2/13*d**2 - 2/13 + 0*d**4 + 6/13*d = 0. Calculate d.
-1, 1/2, 1
Let b(c) be the first derivative of -18*c**5/5 - 25*c**4/2 + 4*c**3 - 89. Find h such that b(h) = 0.
-3, 0, 2/9
Let b(p) be the second derivative of -p**7/42 - p**6/12 + p**5/5 + 17*p**4/24 + p**3/2 + 2*p + 19. Suppose b(v) = 0. What is v?
-3, -1, -1/2, 0, 2
Suppose 3*q - 2*q = 5. Suppose 0 = -5*n + v + q, 0 = -5*v + 25. Factor -6*p - 3 + 3*p**2 - 2*p**2 - 4*p**n.
-3*(p + 1)**2
Factor 2/11*z - 1/11*z**2 + 8/11.
-(z - 4)*(z + 2)/11
Let f(l) be the third derivative of l**8/112 + l**7/70 - l**6/40 - l**5/20 + 865*l**2. Factor f(k).
3*k**2*(k - 1)*(k + 1)**2
Let 2/19*p**3 + 1200/19*p - 4000/19 - 90/19*p**2 = 0. Calculate p.
5, 20
Let j(z) be the third derivative of -z**5/30 - 7*z**4/24 + 20*z**2. Let r(y) = -y**2. Let n(u) = j(u) - r(u). Solve n(m) = 0 for m.
-7, 0
Let j = 118 - 133. Let z(d) = d**4 - d**3. Let y(x) = -4*x**4 + 6*x**3 - x**2 - x. Let m(w) = j*z(w) - 3*y(w). Let m(b) = 0. Calculate b.
-1, 0, 1
Let x = -107 - -143. Suppose x - 72 = -9*b. Determine l so that -3/5*l**b - l + 1/5*l**2 + l**3 + 2/5 = 0.
-1, 2/3, 1
Let y be 15/6 + 1397/22. Let r = 265/4 - y. Suppose 1/2 - r*i - 1/4*i**2 = 0. Calculate i.
-2, 1
Let q = -295 - -295. Let z(u) be the third derivative of 0*u + 0*u**4 - 1/21*u**3 + 1/210*u**5 + q + 5*u**2. Determine t, given that z(t) = 0.
-1, 1
Let j = -2893 - -231443/80. Let u(q) be the second derivative of 1/6*q**3 + 6*q - j*q**5 + 1/2*q**2 - 5/48*q**4 + 0. Factor u(o).
-(o - 1)*(o + 2)*(3*o + 2)/4
Suppose 4*k - 10 = 3*q, 5*q - 141*k - 2 = -139*k. Factor -24/7*j + 2/7*j**q + 72/7.
2*(j - 6)**2/7
Let j(l) be the first derivative of -l**5 - 7*l**4/4 + 106*l**3/3 - 90*l**2 + 72*l + 172. Factor j(o).
-(o - 2)**2*(o + 6)*(5*o - 3)
Let x(m) be the first derivative of 7/27*m**3 + 2/9*m - 1/2*m**2 + 3. Let x(l) = 0. What is l?
2/7, 1
Let k(r) be the second derivative of r**5/20 + 2*r**4/3 - 3*r**3/2 + 61*r - 1. Find f such that k(f) = 0.
-9, 0, 1
Factor 4*i**2 + 30/7 - 1/7*i**3 + 59/7*i.
-(i - 30)*(i + 1)**2/7
Let k(q) be the first derivative of -2*q**3/3 + 96*q**2 - 4608*q - 124. Factor k(i).
-2*(i - 48)**2
Let m(a) be the second derivative of a**7/112 - a**6/5 + 6*a**5/5 - 77*a. Factor m(g).
3*g**3*(g - 8)**2/8
Let l(u) be the first derivative of -u**4/16 + u**3/6 + 15*u**2/8 + 2. Factor l(n).
-n*(n - 5)*(n + 3)/4
Suppose -5*j = -2*j. Suppose j = -3*c + 5*c - 10. Factor 2*n**2 - 14*n**5 - 2*n**4 - n**3 + c*n**5 + 10*n**5.
n**2*(n - 2)*(n - 1)*(n + 1)
Factor 35*h - 71/2 + 1/2*h**2.
(h - 1)*(h + 71)/2
Let p(v) be the third derivative of 3*v**7/280 + v**6/24 - v**5/20 + 11*v**3/6 - 9*v**2. Let s(z) be the first derivative of p(z). Solve s(m) = 0.
-2, 0, 1/3
Let w(j) = 7*j**3 + 24*j**2 - 65*j + 22. Let p(k) = -2*k**3 + 2*k**2 + k + 2. Let n(u) = -4*p(u) - w(u). Suppose n(s) = 0. Calculate s.
1, 30
Determine w, given that -26*w**4 + 8*w**4 - 51*w**3 + 70*w - 24 + 69*w**2 + 74*w - 84 = 0.
-3, -2, 2/3, 3/2
Factor -5*f**3 - f**4 + 26*f**4 - 496*f**5 - 5*f**2 + 481*f**5.
-5*f**2*(f - 1)**2*(3*f + 1)
Let f(s) be the second derivative of -s**5/270 - 5*s**4/108 + 23*s**2/2 + 27*s. Let b(j) be the first derivative of f(j). Factor b(c).
-2*c*(c + 5)/9
Let f(y) = 5*y - 9. Let d be f(4). Let 6 + 38*s**2 - 2*s + d*s - 19*s**2 - 16*s**2 = 0. Calculate s.
-2, -1
What is s in 40 - 1/4*s**3 + 16*s + 1/2*s**2 = 0?
-4, 10
Let j be (3 - (-7 - (-8)/2)) + -2. Suppose 2 = j*h - 6. Suppose w**3 + h*w - 5/2*w**2 - 1/2 = 0. Calculate w.
1/2, 1
Factor -42*v**5 - v**4 - 80*v**2 - 39*v**4 + 37*v**5 - 100*v**3.
-5*v**2*(v + 2)**2*(v + 4)
Let w = -40158 + 40160. Determine a so that -15/8*a**w + 0*a + 0 + 3/8*a**3 = 0.
0, 5
Determine u, given that 216 - 31*u - 70*u - 42956*u**2 + 28*u + 42959*u**2 - 41*u = 0.
2, 36
Let k be 16/(-152) + 160/76. Factor 2*c**k + 14/9*c + 4/9 + 2/9*c**4 + 10/9*c**3.
2*(c + 1)**3*(c + 2)/9
Factor -63*w**2 + 3087*w - 50421 + 3/7*w**3.
3*(w - 49)**3/7
Suppose 16*z = 10*z + 42. Let w(t) be the second derivative of -1/54*t**4 + 0 + 1/180*t**5 + z*t + 0*t**2 + 0*t**3. Let w(d) = 0. What is d?
0, 2
Suppose 17*h - 13*h = 176. Let v = h + -218/5. Determine s so that -4/5 + v*s + 2/5*s**2 = 0.
-2, 1
Determine t, given that 12/5*t**2 - 4/5*t**4 + 184/5*t - 128/5 - 64/5*t**3 = 0.
-16, -2, 1
Let u(s) be the first derivative of -s**3/4 + 321*s**2/8 - 159*s/2 + 198. Let u(j) = 0. What is j?
1, 106
Let c(y) = -y**4 - 6*y**3 - 12*y**2 + 17*y + 9. Let u(b) = -b**4 - 12*b**3 - 22*b**2 + 33*b + 19. Let j(w) = 5*c(w) - 3*u(w). Factor j(d).
-2*(d - 3)*(d - 2)*(d + 1)**2
Let 0 - 27*b + 39/2*b**4 - 3/2*b**5 - 123/2*b**3 + 141/2*b**2 = 0. Calculate b.
0, 1, 2, 9
Let a(o) be the third derivative of o**5/140 + 9*o**4/56 - 11*o**3/7 - 77*o**2. Determine g so that a(g) = 0.
-11, 2
Let f = 20 + -10. Suppose 40 = 5*j + f. Find i such that -i**4 - 6*i**3 - j*i**2 + 0*i**4 - 2*i**4 + 3*i**2 = 0.
-1, 0
Let v(h) = h**5 - 9*h**4 + 56*h**3 - 6*h**2 - 12*h - 6. Let p(t) = -10*t**4 + 55*t**3 - 5*t**2 - 10*t - 5. Let i(q) = -6*p(q) + 5*v(q). Factor i(z).
5*z**3*(z - 2)*(z + 5)
Let z(x) be the second derivative of -42*x + 0*x**4 + 0 + 1/30*x**5 + 0*x**2 - 4/9*x**3. Factor z(h).
2*h*(h - 2)*(h + 2)/3
Let z(w) be the third derivative of -w**8/672 - w**7/105 - w**6/40 - w**5/30 - w**4/48 + 3*w**2 + 6*w. Factor z(r).
-r*(r + 1)**4/2
Let o(n) = -5*n**4 + 15*n**3 - 6*n**2 + 4. Let a = 65 - 61. Let g(x) = 30*x**4 - 90*x**3 + 35*x**2 - 25. Let k(f) = a*g(f) + 25*o(f). 