5*h - 13 + 1 + 3*h**2 = 0.
-4, 1
Let j be 18/27*(-6)/(-8)*12. Solve 26*a**2 + j*a**4 + 3 + 41/2*a**3 + 29/2*a = 0.
-1, -3/4, -2/3
Let w(d) be the first derivative of d**5/240 + d**4/96 - d**3/4 - d**2/2 + d + 20. Let u(l) be the second derivative of w(l). Solve u(v) = 0.
-3, 2
Let r(j) be the first derivative of 0*j + 0*j**2 - 9/20*j**5 + 23 - j**3 + 39/16*j**4. Factor r(x).
-3*x**2*(x - 4)*(3*x - 1)/4
Let l be (-2)/((119/21 + -5)*-1). Let g(d) be the first derivative of 1/2*d**l + 0*d**2 - 6*d + 5. Factor g(k).
3*(k - 2)*(k + 2)/2
Let g = 82 + -81. Let c(h) = h**3 - h**2 - h - 1. Let z(s) = -8*s**3 - 4*s**2 + 24*s + 28. Let d(l) = g*z(l) + 4*c(l). Factor d(k).
-4*(k - 2)*(k + 1)*(k + 3)
Determine o so that -4/3*o**2 - 26/3*o - 20/3 + 2/3*o**3 = 0.
-2, -1, 5
Let y(q) be the first derivative of -q**6/6 + 3*q**4/4 + 2*q**3/3 + 215. Factor y(n).
-n**2*(n - 2)*(n + 1)**2
Let w(o) = -o - 15. Let v(g) = g - 1. Let l(c) = -3*v(c) - w(c). Let m be l(7). Determine h, given that 0*h + 7/2*h**5 + h**m + 0 - h**2 - 7/2*h**3 = 0.
-1, -2/7, 0, 1
Let z(h) be the second derivative of -h**5/36 + 13*h**4/108 + 13*h**3/27 + 4*h**2/9 + 11*h + 2. Let z(r) = 0. Calculate r.
-1, -2/5, 4
Let a = -126 - -144. Suppose 4*s = -a + 18. Factor s*v - 1/3*v**3 + 0 - 1/6*v**4 - 1/6*v**2.
-v**2*(v + 1)**2/6
What is p in -21/2*p + 9*p**2 - 3/4*p**4 - 3/2*p**3 + 15/4 = 0?
-5, 1
Let g be (-4)/10*(-10)/18. Suppose -4*v - 4*j = 0, 60*j = -5*v + 64*j + 18. Factor 0 + g*y - 2/9*y**v.
-2*y*(y - 1)/9
Let z = -17437 + 17439. Factor 3/5*s - 1/5*s**z - 3/5*s**3 - 1/5*s**4 + 2/5.
-(s - 1)*(s + 1)**2*(s + 2)/5
Let s(t) = -t**2 - t. Let d = -8 - -4. Let g(r) = -8*r. Let k(v) = d*s(v) - g(v). Determine l so that k(l) = 0.
-3, 0
Let h(b) be the second derivative of -1/2*b**4 + 10*b + 0 + 3/20*b**5 + 1/2*b**3 + 0*b**2. Factor h(f).
3*f*(f - 1)**2
Suppose 153 = 4*n + 145. Let y(s) be the first derivative of -3 + 0*s + s**3 + 0*s**4 - 1/5*s**5 - s**n. Solve y(l) = 0 for l.
-2, 0, 1
Let s(a) = 3 + 0 - 4*a - 2*a**2 + a**2. Let o(t) = -3*t**2 - 6 + 4*t**2 - 3*t**2 + 9*t + 4*t**2. Let n(u) = 6*o(u) + 13*s(u). What is b in n(b) = 0?
-1, 3
Let f(h) be the first derivative of -5*h**6/39 - 34*h**5/65 - 21*h**4/26 - 22*h**3/39 - 2*h**2/13 + 85. Factor f(m).
-2*m*(m + 1)**3*(5*m + 2)/13
Let a(s) be the third derivative of s**6/480 - s**5/120 - s**4/24 + s**3/3 + 33*s**2. Determine w so that a(w) = 0.
-2, 2
Determine m, given that -m**3 + 7*m**3 - 3*m**3 + 69*m + 63 + 25*m**2 = 0.
-3, -7/3
Let r(j) = 9*j**2 - 2*j - 2. Let l be r(-1). Let k be (2 - (l/(-3) + 3))*1. Factor 0*b + 1/4*b**k - 1/4.
(b - 1)*(b + 1)/4
Suppose -22/19*g**3 + 62/19*g**2 + 118/19*g - 156/19 - 2/19*g**4 = 0. Calculate g.
-13, -2, 1, 3
Let s(g) = -12*g**2 + 8*g**2 + 16 - 4*g + 8*g**2 - 8*g. Let n = 19 - 30. Let u(z) = -21*z**2 + 60*z - 79. Let i(o) = n*s(o) - 2*u(o). Factor i(y).
-2*(y - 3)**2
Suppose l = 5*z + 31, 2*z = -3*l - 7 - 2. Determine a, given that l - 4/5*a - 1/5*a**2 = 0.
-5, 1
Let h be (-10)/6*216/(-630). Factor -2/7*w**5 - 10/7*w**3 - h*w**2 - 8/7*w**4 + 0 + 0*w.
-2*w**2*(w + 1)**2*(w + 2)/7
Solve -4/3*y - 5/3 + 1/3*y**2 = 0 for y.
-1, 5
Suppose -8*p = -46 - 98. Suppose -5*h - p = -38. Determine v so that -8*v**2 + 0 + 14*v**5 - 90/7*v**3 - 8/7*v + 8*v**h = 0.
-1, -2/7, 0, 1
Factor 768*q + 0 - 1/3*q**4 + 97/3*q**3 - 800*q**2.
-q*(q - 48)**2*(q - 1)/3
Let u(y) = -2*y**4 + 46*y**3 + 132*y**2 + 124*y + 46. Let m(c) = c**4 + c**3 - 1. Let b(f) = 6*m(f) + u(f). Let b(i) = 0. Calculate i.
-10, -1
Suppose 0 = -11*u - 539 - 231. Let g be (-245)/u + 1/(-1) + 1. Factor 3/2*n**3 + g*n**2 + 11/4*n + 3/4 - 1/4*n**4 - 1/4*n**5.
-(n - 3)*(n + 1)**4/4
Let c(v) = -v**4 - v**3 - 4*v**2 - 4*v + 2. Let x(k) = 6*k**4 + 6*k**3 + 21*k**2 + 22*k - 11. Let g(y) = 11*c(y) + 2*x(y). Let g(p) = 0. Calculate p.
-2, 0, 1
Let d = 5273/7020 + -2/1755. Find v, given that 0 + 0*v + d*v**3 + 0*v**2 = 0.
0
Let d(q) be the first derivative of q**3/3 + 3*q**2 - 95. Solve d(m) = 0.
-6, 0
Let m(i) be the first derivative of i - 39. Let h(p) = -5*p**4 - 30*p**3 - 65*p**2 - 60*p - 50. Let u(q) = h(q) + 30*m(q). Let u(k) = 0. Calculate k.
-2, -1
Let c(z) be the second derivative of 2*z**6/15 + 12*z**5/5 + 53*z**4/3 + 68*z**3 + 144*z**2 - 42*z + 9. Let c(q) = 0. What is q?
-4, -3, -2
Let j(s) be the second derivative of -2197*s**7/336 + 507*s**6/5 - 2769*s**5/8 - 4099*s**4/6 - 452*s**3 - 144*s**2 + 494*s. Factor j(o).
-(o - 6)**2*(13*o + 4)**3/8
Let s(v) be the first derivative of v**5/20 - v**4/2 - 11*v**3/4 - v**2/2 + 11*v + 335. Factor s(f).
(f - 11)*(f - 1)*(f + 2)**2/4
Suppose d + 0 = -1. Let c be (d - -1)*(-2)/(-4). What is g in 3/4*g**2 + 3/4*g - 3/4*g**3 - 3/4*g**4 + c = 0?
-1, 0, 1
Let p(c) be the third derivative of -c**8/168 + 4*c**7/105 - c**6/12 + c**5/15 - c**2 + 101*c. Suppose p(g) = 0. Calculate g.
0, 1, 2
Let j be ((-381)/(-508) + (-14)/(-24))/((-24)/(-27)). What is p in -3/2*p**4 + j*p**2 + 0 - 6*p + 6*p**3 = 0?
-1, 0, 1, 4
Let w(h) be the first derivative of 2/5*h**2 + 7*h - 1/100*h**5 - 1/20*h**4 + 7 + 0*h**3. Let x(o) be the first derivative of w(o). Factor x(a).
-(a - 1)*(a + 2)**2/5
Let z = 251/620 + -13/124. Let g(y) be the first derivative of 0*y - 2/3*y**3 - 1 + 2/5*y**2 + z*y**4. Factor g(a).
2*a*(a - 1)*(3*a - 2)/5
Let k(o) be the first derivative of -o**4 - 12*o**3 + 20*o**2 + 39. Find a, given that k(a) = 0.
-10, 0, 1
Let o(w) be the first derivative of -1/6*w**3 + 0*w**2 - 2 + 0*w + 1/32*w**4. Factor o(y).
y**2*(y - 4)/8
Let x(a) be the third derivative of a**6/320 - a**5/80 + a**4/64 + 29*a**2 + a. Factor x(j).
3*j*(j - 1)**2/8
Let k be 3/(-1008)*2*-10. Let z(u) be the third derivative of k*u**4 - 1/30*u**5 + 0 + 0*u - 3*u**2 + 2/21*u**3. Factor z(d).
-2*(d - 1)*(7*d + 2)/7
Let y = -352079/141 + 2497. Let j = y - -145/282. Suppose -t - 1/2*t**2 + j*t**3 + 0 = 0. Calculate t.
-1, 0, 2
Let r(l) be the first derivative of -2*l**5/55 + 21*l**4/22 - 26*l**3/11 + 19*l**2/11 + 104. Factor r(f).
-2*f*(f - 19)*(f - 1)**2/11
Let d(j) = -j - 5. Let r be d(5). Let a be 0*((-5)/6 - r/20). Factor 0 + a*z + 2/11*z**2 + 2/11*z**4 - 4/11*z**3.
2*z**2*(z - 1)**2/11
Let f(g) be the second derivative of 0*g**3 - 12*g + 0*g**5 + 0 + 0*g**2 + 0*g**4 - 1/120*g**6. Factor f(q).
-q**4/4
Let f(w) be the second derivative of -w**6/15 - w**5/5 + 7*w**4/6 - 4*w**3/3 + 61*w. Find v, given that f(v) = 0.
-4, 0, 1
Let i be (-26 + 2)*9/(-4). Solve b - b - 39*b**5 - 33*b**4 + i*b**5 + 21*b**3 - 3*b**2 = 0 for b.
0, 1/5, 1
Let n(t) be the first derivative of 1 - 2/3*t**3 + 5/2*t**2 - 2*t. Factor n(v).
-(v - 2)*(2*v - 1)
Suppose 5*q + 165 = -5*i, -17 = 3*q - 5*i + 106. Let r be q/9*(-1)/2. Suppose -4 + 3*f**2 - r*f**3 - 3*f + 1 + 8*f**3 - 3*f**3 = 0. What is f?
-1, 1
Solve -1014*p**3 + 1011*p**3 + 195*p**2 - 3468*p + 9*p**2 = 0 for p.
0, 34
Let k = -149 - -154. Let l(v) be the first derivative of -v**3 + 1/2*v**2 + 0*v + 3/4*v**4 - 5 - 1/5*v**k. Find b, given that l(b) = 0.
0, 1
Let c be (2 + 7/(-5))/((-15)/(-75)). Determine m, given that -8*m**4 + 4*m**5 + 4*m - 8 + 16*m**2 - m**c - 3*m**3 - 4*m**3 = 0.
-1, 1, 2
Let p(b) be the first derivative of b**4/16 - 13*b**3/4 + 399*b**2/8 - 361*b/4 - 53. Find j, given that p(j) = 0.
1, 19
Let v = -211374987/3325 - -1589454/25. Let d = -18/133 + v. Suppose -d*g**2 - 39/5*g**3 + 39/5*g + 18/5 + 3*g**4 = 0. Calculate g.
-1, -2/5, 1, 3
Solve 90 + 9*h**2 + 3*h + 32*h - 14*h**2 = 0.
-2, 9
Let x(g) be the second derivative of g**7/5880 - g**6/840 + g**5/280 - g**4/3 + 7*g. Let h(u) be the third derivative of x(u). Factor h(m).
3*(m - 1)**2/7
Let g(y) be the first derivative of 2*y**5/25 + y**4/2 + 8*y**3/15 - 15. Factor g(r).
2*r**2*(r + 1)*(r + 4)/5
Let g(w) = w**2 + 11*w - 10. Let k be g(-12). Suppose -2*v = -9 + 1. Suppose -y**k + 7*y**2 - 4 - 2*y + v*y**3 - 2*y**4 - 2*y**3 = 0. Calculate y.
-1, 1, 2
Let r(y) be the third derivative of y**6/120 + y**5/10 + 3*y**4/8 + 17*y**3/6 - 10*y**2. Let f(i) be the first derivative of r(i). Suppose f(n) = 0. What is n?
-3, -1
Let f be (-2)/4*-24*1/3. Let u(z) be the second derivative of 1/20*z**f - z + 0 - 3/10*z**2 - 3/100*z**5 + 1/10*z**3. Find y, given that u(y) = 0.
-1, 1
Let g(m) be the third derivative of 0*m**5 + 10*m**2 + 0 - 1/120*m**6 + 0*m + 1/3*m**3 + 1/8*m**4. Factor g(p).
-(p