 v**2.
-2*v*(v - 2)
Let i = -57 - -63. Suppose 2*r**5 + 2 + 20*r**2 + r**3 + 10*r**4 + 10*r + 7*r**3 + i*r**3 + 6*r**3 = 0. What is r?
-1
Let r(x) be the first derivative of x**6/9 + 16*x**5/5 - 25*x**4/6 - 146. Let r(l) = 0. Calculate l.
-25, 0, 1
Let c(r) be the second derivative of r**4/60 + 17*r**3/30 + 8*r**2/5 - 45*r - 1. Factor c(t).
(t + 1)*(t + 16)/5
Suppose 138*s - 262*s - 56 = -138*s. Solve 0 + 2/11*j**5 + 4/11*j**s - 4/11*j**2 + 0*j**3 - 2/11*j = 0 for j.
-1, 0, 1
Let j(t) be the third derivative of -5*t**9/3024 + t**7/168 + 8*t**3/3 + 27*t**2. Let i(n) be the first derivative of j(n). Factor i(p).
-5*p**3*(p - 1)*(p + 1)
Let d(j) be the third derivative of -j**7/105 + j**6/80 + j**5/120 + 7*j**2 + 4*j. Factor d(u).
-u**2*(u - 1)*(4*u + 1)/2
Let v(c) = c - 1. Let b(f) = 6*f - 45. Let g(r) = b(r) - 4*v(r). Let p be g(22). What is q in -3/5*q**p + 1/5*q**5 - 2/5*q + 0 - q**2 + 1/5*q**4 = 0?
-1, 0, 2
Find z such that -9/5 - 6*z**2 - 1/5*z**4 - 12/5*z**3 - 28/5*z = 0.
-9, -1
Let v(k) = -2*k**4 + 4*k**3 + k**2 - 6*k - 3. Let i(t) = 3*t**4 - 5*t**3 - 2*t**2 + 8*t + 4. Let g(x) = 3*i(x) + 4*v(x). Factor g(l).
l**2*(l - 1)*(l + 2)
Let n(u) = 26*u**2 + 14*u - 48. Let y be (-1)/(-3) - 112/21. Let s(q) = -9*q**2 - 5*q + 16. Let d(v) = y*n(v) - 14*s(v). Find t such that d(t) = 0.
-2, 2
Let f(o) be the second derivative of -o**7/147 + o**6/105 + o**5/70 - o**4/42 + 36*o - 2. Factor f(v).
-2*v**2*(v - 1)**2*(v + 1)/7
Factor -2/19*s**2 + 42/19*s - 40/19.
-2*(s - 20)*(s - 1)/19
Let o(m) be the third derivative of -m**5/240 + 43*m**4/32 - 127*m**3/12 + 4*m**2 + 8*m. Determine t so that o(t) = 0.
2, 127
Suppose -4*q + 742 = -0*q - 2*g, 2*q + 2*g - 374 = 0. Find k such that 89*k**2 - 134 - q - 14*k**2 - 5*k**3 - 7*k - 233*k = 0.
-1, 8
Let c(d) be the third derivative of d**6/900 - d**5/90 + 2*d**4/45 - 4*d**3/45 - 3*d**2 + 48*d. Solve c(a) = 0.
1, 2
Suppose -43*b = -29 - 57. Factor 2/13*f**4 + 2/13 - 4/13*f**b + 2/13*f**5 + 2/13*f - 4/13*f**3.
2*(f - 1)**2*(f + 1)**3/13
Let h be 20/(-6)*(-12)/8. Find y, given that -4*y**3 - 3*y**h + 0*y**5 + 4*y**5 + 3*y**5 = 0.
-1, 0, 1
Let j be 6/(-69) + 1600/9936. Let u(w) be the second derivative of 1/3*w**2 + w + 0 + j*w**3 - 1/54*w**4. Solve u(v) = 0 for v.
-1, 3
Let p be (-55)/(-44)*(-2)/(-5)*0. Let n(j) be the first derivative of -1/40*j**5 + p*j**2 - 1/32*j**4 + 1/48*j**6 + 1/24*j**3 + 1 + 0*j. Factor n(b).
b**2*(b - 1)**2*(b + 1)/8
Let v = 2167/2 - 936. Let c = -146 + v. Find a, given that 0*a**2 - c*a**4 + 0 - 1/2*a**5 - a**3 + 0*a = 0.
-2, -1, 0
Let l be 116/3*(-27)/18. Let y be 0 - 8/(-6) - (59 + l). Factor y + 5/6*x + 3/2*x**3 - 8/3*x**2.
(x - 1)**2*(9*x + 2)/6
Let b be 0 + (4/10)/((-5)/(-25)). Factor 3*u**2 + 268*u**3 - 263*u**3 + 9*u**2 + 8*u**b + 20*u.
5*u*(u + 2)**2
Let g be 18 + (5 - 24) + (-4)/((-2)/2). Find v such that -6*v**4 + 2 - 24*v**2 - 77/3*v**g - 7/3*v = 0.
-3, -1, -1/2, 2/9
Let b(j) = -49*j**4 + 16*j**3 + 165*j**2 - 140*j + 26. Let k(d) = -50*d**4 + 15*d**3 + 165*d**2 - 140*d + 25. Let h(a) = 5*b(a) - 6*k(a). Solve h(l) = 0 for l.
-2, 2/11, 1
Let l(g) be the first derivative of -g**6 - 64*g**5/5 - 46*g**4 - 76*g**3 - 65*g**2 - 28*g + 7. Let l(t) = 0. What is t?
-7, -1, -2/3
Let y be (20/14)/((-4)/(-28)). Suppose -5*m = -y - 0. Factor -3*t**4 + 2*t**2 + 12*t**3 + t**m + 0*t**2 - 3*t - 9*t**3.
-3*t*(t - 1)**2*(t + 1)
Let p be (3/(-6))/((-3)/30). Suppose -1 = x - 3*o, p*x + 6*o - 13 = 3*o. What is m in 15*m**2 - x*m**3 - 17*m**2 + m**4 + 2*m**5 + m**4 = 0?
-1, 0, 1
Let y = 799/1596 + -1/1596. Factor y*m**2 + 0 - 1/2*m.
m*(m - 1)/2
Let r = 1059 - 1059. Let u(p) be the second derivative of -4/3*p**2 - 2/3*p**3 + 10*p + r - 1/9*p**4. Determine w, given that u(w) = 0.
-2, -1
Let j = 6185/18537 - 2/6179. Solve j - 1/2*h**3 - 2/3*h**2 + 1/2*h + 1/3*h**4 = 0 for h.
-1, -1/2, 1, 2
Let o be (-13 + 1)*(-9)/54. Factor 0*p - 20*p**o + 3*p**4 + p + 48 + 11*p + 3*p**3 - 16*p**2.
3*(p - 2)**2*(p + 1)*(p + 4)
Let t(p) be the second derivative of -3*p**5/40 + p**4/8 + 9*p**3/4 - 27*p**2/4 - 177*p. Suppose t(n) = 0. What is n?
-3, 1, 3
Let a(k) = k**2 + 15*k + 4. Let g be a(-15). Let o be g + (-4 - (-4)/22). Let -o*c + 0 + 2/11*c**2 = 0. What is c?
0, 1
Let y(i) = i + 66. Let d(p) = -p. Let s(n) = 2*d(n) - y(n). Let r be s(-22). Factor 2/5 + r*j**2 + 3/5*j - 1/5*j**3.
-(j - 2)*(j + 1)**2/5
Let n be (8/(-90))/(84/(-70)). Let c(x) be the second derivative of -4*x + 0 + 0*x**2 + 1/54*x**4 - n*x**3. Solve c(d) = 0.
0, 2
Let l = 84 - 53. Factor 2*r**3 + 91 - l*r + 18*r**2 + 11*r - 91.
2*r*(r - 1)*(r + 10)
Let n(j) be the second derivative of -10*j**7/3 + 178*j**6/3 + 909*j**5/4 + 935*j**4/3 + 1265*j**3/6 + 75*j**2 + 81*j. Find v, given that n(v) = 0.
-1, -1/2, -2/7, 15
Let q(m) = -20*m**3 + 56*m**2 + 148*m - 216. Let g(z) = -7*z**3 + 19*z**2 + 48*z - 72. Let t(y) = 8*g(y) - 3*q(y). Let t(b) = 0. Calculate b.
-3, 1, 6
Let 4/9 + 0*n - 1/9*n**2 = 0. Calculate n.
-2, 2
Let k(p) be the second derivative of -p**4/42 - 38*p**3/21 + 80*p**2/7 - p + 22. Factor k(c).
-2*(c - 2)*(c + 40)/7
Let n(x) be the first derivative of 1/12*x**3 + 0*x - 1/16*x**4 - 8 + 1/4*x**2. Factor n(u).
-u*(u - 2)*(u + 1)/4
Let t(y) be the first derivative of 7*y**2 + y**2 + 2*y**4 + 4*y**4 + 9 - 7*y**4. Determine s so that t(s) = 0.
-2, 0, 2
Let k(b) = 7*b**3 + 96*b**2 - 27*b + 16. Let f be k(-14). Determine y so that -2/3*y**3 - 2/9*y - 2/3*y**f + 0 - 2/9*y**4 = 0.
-1, 0
Let u(j) be the first derivative of -j**6/315 + j**5/70 - j**4/42 + j**3/63 - 8*j - 10. Let r(c) be the first derivative of u(c). Factor r(t).
-2*t*(t - 1)**3/21
Let -3/2*x**3 + 0 - 1/4*x**5 - x**4 - x**2 - 1/4*x = 0. Calculate x.
-1, 0
Let u(v) = v**2 - 70*v + 499. Let r(i) = 2*i**2 - 208*i + 1498. Let a(y) = 5*r(y) - 14*u(y). Determine f, given that a(f) = 0.
-21, 6
Let t(c) be the first derivative of c**4/8 + 2*c**3 + 9*c**2 - 78. Factor t(r).
r*(r + 6)**2/2
Let k(i) be the first derivative of -i**5/15 - 2*i**4/3 - 8*i**3/3 + 2*i**2 - 2. Let g(m) be the second derivative of k(m). Factor g(u).
-4*(u + 2)**2
Factor -9 + 51/7*f - 13/7*f**2 + 1/7*f**3.
(f - 7)*(f - 3)**2/7
Factor 18/5*x**4 + 66/5*x**3 + 24/5*x + 0 - 2/5*x**5 + 14*x**2.
-2*x*(x - 12)*(x + 1)**3/5
Let t(g) be the first derivative of 15/2*g**2 - g**3 + 18*g + 25. Solve t(u) = 0 for u.
-1, 6
Let u = 5877/287 + -822/41. Determine f so that -3/7*f**4 + 2/7*f + 0 + 5/7*f**5 + u*f**2 - f**3 = 0.
-1, -2/5, 0, 1
Let x(l) be the first derivative of -28*l**5/5 - 16*l**4 - 44*l**3/3 - 4*l**2 + 106. Let x(g) = 0. What is g?
-1, -2/7, 0
Let p(o) be the second derivative of 2/21*o**4 - 21*o + 0 - 13/21*o**3 + 3/7*o**2. Factor p(s).
2*(s - 3)*(4*s - 1)/7
Suppose -4*q = -0*q + 28. Let c be q/21 + 16/3. Factor 18*d**2 + 4*d**4 - c*d + 15*d - 1 + 3 + 14*d**3.
2*(d + 1)**3*(2*d + 1)
Factor 70*w**3 + 435*w**2 - 26 + 6 - 21 + 6 + 80*w - 25.
5*(w + 6)*(2*w + 1)*(7*w - 2)
Let p(i) be the first derivative of -5*i**3/3 - 35*i**2 + 111. Factor p(j).
-5*j*(j + 14)
Let j be 29/87*(-177 + (0 - 0)). Let n = -293/5 - j. Factor 4/5 + 8/5*a**2 + 2*a + n*a**3.
2*(a + 1)**2*(a + 2)/5
Let x(j) be the third derivative of j**7/168 + 11*j**3/6 - 13*j**2. Let g(z) be the first derivative of x(z). Factor g(k).
5*k**3
Let j(d) = 5*d**3 - 9*d**2 + d - 3. Let s(x) = -2*x**2 - x + 3. Let h be s(-2). Let g(r) = -11*r**3 + 19*r**2 - r + 7. Let i(t) = h*g(t) - 7*j(t). Factor i(q).
-2*q*(q - 2)*(q - 1)
Factor -17/2*h - 3 + 2*h**4 + 0*h**3 + 1/2*h**5 - 7*h**2.
(h - 2)*(h + 1)**3*(h + 3)/2
Suppose -4*d - b = -4, 3*d + 0*b - 22 = 4*b. Let i be (2/3 + (-505)/1212)*(-8)/(-3). Factor z**3 - i*z**d + 0*z + 0 + 3*z**4.
z**2*(3*z - 1)*(3*z + 2)/3
Let a(g) be the third derivative of g**7/1680 - g**6/960 - g**5/48 - g**4/24 - 941*g**2. Find o, given that a(o) = 0.
-2, -1, 0, 4
Let v = 15369 + -169057/11. Solve v*j**2 - 4/11 + 2/11*j = 0.
-2, 1
Let j be ((-5)/2)/(6 - 377/52). Let k(o) be the first derivative of 6*o + 3/2*o**j + 3 - o**3. Find r such that k(r) = 0.
-1, 2
Let o be (-2148)/(-1253) + (-2)/(-7). Factor 5/3*n**5 + 1/3*n**3 + 0 - 2/3*n**o + 0*n + 8/3*n**4.
n**2*(n + 1)**2*(5*n - 2)/3
Factor 45/4*g**3 + 25/4*g**4 + 0 + 5/4*g**5 + 35/4*g**2 + 5/2*g.
5*g*(g + 1)**3*(g + 2)/4
Let i(t) = -4*t**3 + 6*t**2 - 18*t + 8. Let l(m) = -3*m**3 + 6*m**2 - 16*m + 8. Let a(v)