 48/7*d + 3*d**2 - 3/7*d**3.
-3*(d - 3)*(d - 2)**2/7
Let p(u) = -5*u**2 - 38*u - 2. Let l(k) = 16*k**2 + 115*k + 7. Let g(q) = -2*l(q) - 7*p(q). Find t, given that g(t) = 0.
-12, 0
Let o = -861 + 865. Let j(a) be the first derivative of -10*a**2 - 8 + 23/3*a**3 + 4*a - 7/4*a**o. Factor j(v).
-(v - 2)*(v - 1)*(7*v - 2)
Let z(d) be the third derivative of 0*d**6 + 0 - 1/350*d**7 + 0*d + 5*d**2 + 0*d**4 - 1/10*d**3 + 1/50*d**5. Factor z(a).
-3*(a - 1)**2*(a + 1)**2/5
Let g(y) be the third derivative of y**8/336 - y**7/105 + y**5/30 - y**4/24 - 60*y**2. Let g(m) = 0. What is m?
-1, 0, 1
Let m = -63262/15 + 4218. Determine o, given that 0 + 0*o + 2/15*o**2 + m*o**3 = 0.
-1/4, 0
Determine y, given that -3*y - 118*y**4 + 120*y**4 - 7*y - 14*y**3 + 22*y**2 = 0.
0, 1, 5
What is j in 89*j + 2*j**3 + 9*j**2 + 28*j + 25*j**2 - 37*j + 10*j**2 = 0?
-20, -2, 0
Let i be ((-25)/125)/((2 + 0)/(-4)). Factor 2/5*z**3 - i*z**4 + 2/5*z**2 - 2/5*z + 0.
-2*z*(z - 1)**2*(z + 1)/5
Let p(z) = 3*z**2 - 7*z + 2. Let h(d) = 48*d**2 - 111*d + 33. Let m = -1 + 34. Let w(b) = m*p(b) - 2*h(b). Find v, given that w(v) = 0.
0, 3
Let z = -858 + 861. Let c(m) be the second derivative of 5*m - 2/27*m**z + 0*m**2 - 1/54*m**4 + 1/135*m**6 + 0 + 1/45*m**5. Factor c(o).
2*o*(o - 1)*(o + 1)*(o + 2)/9
Let j(n) be the first derivative of -n**8/560 + n**7/280 + n**6/60 + 34*n**3/3 + 17. Let a(i) be the third derivative of j(i). Factor a(s).
-3*s**2*(s - 2)*(s + 1)
Suppose 31 + 43 = 3*y - 2*p, -5*p - 130 = -5*y. Suppose 0*m = -2*m - 5*i + 23, 4*m - y = -2*i. Factor -1/2*r**5 - 1/2*r + 0*r**m + 0 + 0*r**2 + r**3.
-r*(r - 1)**2*(r + 1)**2/2
Suppose -4*a - 2*q - 80 = -8*a, -4*a - 4*q = -56. Suppose -3*m + a = 12. Suppose -1 - r**3 + 3/2*r**m + 3/2*r = 0. Calculate r.
-1, 1/2, 2
Let w(r) be the second derivative of -r**7/126 + r**6/10 - 5*r**5/12 + 5*r**4/12 + 13*r**3/9 - 4*r**2 - 246*r. Determine l, given that w(l) = 0.
-1, 1, 2, 3, 4
Determine g so that -36/17*g - 22/17*g**3 + 0 + 202/17*g**2 = 0.
0, 2/11, 9
Let i = -959 + 6717/7. Determine q, given that -i + 0*q + 1/7*q**2 = 0.
-2, 2
Solve 228*d + 2/5*d**2 + 32490 = 0.
-285
Suppose 80*m - 82*m = 2*l - 24, 0 = -m - 3*l + 32. Factor 2/3*s**3 + 0 - 8/3*s - m*s**2.
2*s*(s - 4)*(s + 1)/3
Let o(c) = 12*c - 20. Let p be o(2). Let w(g) be the second derivative of -1/20*g**5 + 1/3*g**3 + 0*g**2 - g - 1/12*g**p + 0. Factor w(a).
-a*(a - 1)*(a + 2)
Let m(q) = 5*q**2 - 350*q + 295. Let s(n) = -n**2 + 87*n - 74. Let l(t) = -6*m(t) - 25*s(t). Let l(g) = 0. What is g?
-16, 1
Let w(v) be the first derivative of -v**5/120 + v**4/36 + v**3/36 - v**2/6 + 7*v + 5. Let l(x) be the first derivative of w(x). Determine f so that l(f) = 0.
-1, 1, 2
Let k be (-1)/(-5) + 18/10. Let u = -236 + 239. Solve -5*t**2 + 4*t**4 + 6*t**2 - 4*t**u - t**k = 0 for t.
0, 1
Let c = 2/7797 + 23375/62376. Suppose -3/8*f + c*f**2 + 1/8 - 1/8*f**3 = 0. What is f?
1
Let k(f) be the third derivative of f**6/24 - 11*f**5/12 - 10*f**4/3 + 800*f**3/3 - 289*f**2. Factor k(m).
5*(m - 8)**2*(m + 5)
Let r(p) be the first derivative of -18*p**5/55 - 3*p**4/22 + 16*p**3/33 + 4*p**2/11 + 126. What is l in r(l) = 0?
-2/3, 0, 1
Suppose 7 = -y, -n + 38*y - 33*y = -38. Factor 0 - 3/4*i**2 + n*i.
-3*i*(i - 4)/4
Let c(f) be the first derivative of -4*f**5/5 + 2*f**4 - 4*f**2 + 4*f - 47. Factor c(i).
-4*(i - 1)**3*(i + 1)
Let x(c) be the third derivative of -16*c**2 + 0*c**5 - 1/180*c**6 + 1/36*c**4 + 0 + 1/630*c**7 - 1/18*c**3 + 0*c. Factor x(o).
(o - 1)**3*(o + 1)/3
Let x(f) be the first derivative of -f**4/10 - 2*f**3/15 + 2*f**2/5 - 63. Suppose x(b) = 0. What is b?
-2, 0, 1
Suppose 88 = 52*g - 120. Factor 0 + 4/5*j**2 + 0*j + 4/5*j**3 + 1/5*j**g.
j**2*(j + 2)**2/5
Let g(k) be the second derivative of -k**4/36 - 17*k**3/18 - 5*k**2 + 7*k - 2. Let g(l) = 0. Calculate l.
-15, -2
Suppose 114 = -13*u - 341. Let a = 35 + u. Factor a - 1/3*z - 1/3*z**2.
-z*(z + 1)/3
Let h be (-4)/(-96)*-4 - -4*6/72. Factor 3*y - h*y**2 - 27/2.
-(y - 9)**2/6
Let a(q) = -q + 24. Let d be a(20). Factor -4*b**3 + 83*b**4 - 24*b**2 + 78*b**4 + 8 - 4*b - 153*b**d.
4*(b - 2)*(b + 1)**2*(2*b - 1)
Let j(w) be the first derivative of 5*w**2 - 9 + 2/3*w**3 + 25/2*w. Factor j(d).
(2*d + 5)**2/2
Let m = 416/7 + -825/14. Let d(f) be the first derivative of m*f**4 - 3*f - 1/5*f**5 - f**2 - 5 + 4/3*f**3. Find g, given that d(g) = 0.
-1, 1, 3
Let s(z) = z**2 - 13*z - 14. Suppose 3*i = -c, c + 4*c + 15 = 0. Let g(q) = q + 1. Let u(x) = i*s(x) + 5*g(x). Solve u(h) = 0 for h.
-1, 9
Let j(b) be the second derivative of -1/5*b**5 - 5/3*b**4 - 2*b**3 - 15*b + 0 + 2/15*b**6 + 0*b**2. Factor j(h).
4*h*(h - 3)*(h + 1)**2
Let q(s) be the first derivative of 12*s + 33/4*s**3 - 34 + 15/8*s**4 + 15*s**2 + 3/20*s**5. Find t such that q(t) = 0.
-4, -1
Suppose t - 1 = 2*t + j, 0 = -3*j - 12. What is k in 9*k**3 + 9*k**2 + 0*k + 3*k + t*k**4 + 0*k = 0?
-1, 0
Let s(p) be the third derivative of p**6/1620 - p**5/180 + p**4/54 - 3*p**3/2 - 3*p**2. Let n(z) be the first derivative of s(z). Let n(v) = 0. Calculate v.
1, 2
Let f(d) be the second derivative of d**5/10 + d**4 + 5*d**3/3 - 12*d**2 + 39*d. Factor f(j).
2*(j - 1)*(j + 3)*(j + 4)
Suppose 7*r - 5*a = 20, 4*a + 15 = -2*r - 1. Factor r + 1/7*m**3 - 3/7*m**2 - 2/7*m + 3/7*m**4 + 1/7*m**5.
m*(m - 1)*(m + 1)**2*(m + 2)/7
Let x(n) be the third derivative of n**9/30240 + n**8/5040 + n**7/2520 + n**5/60 + 2*n**2. Let d(u) be the third derivative of x(u). Let d(z) = 0. What is z?
-1, 0
Factor -12/7 - 10/7*z**2 - 43/7*z.
-(z + 4)*(10*z + 3)/7
Let a(y) = 11*y**2 + 13*y + 7. Let o be a(-1). Solve 20*x - o*x**3 + 5/2*x**2 - 10 = 0 for x.
-2, 1/2, 2
Let f = 24 - 22. Suppose -2 = f*r - 12. Suppose -8*m**4 + 8*m**5 - 8*m**5 - m**5 - 4*m**3 - 3*m**r = 0. What is m?
-1, 0
Let m = -11 - -15. Let w(n) be the second derivative of 0*n**3 + 0 + 0*n**2 + 0*n**4 - m*n - 1/20*n**5. Factor w(r).
-r**3
Let h be 4/(-2)*5 + -1. Let v = 11 - 15. Let r(x) = 20*x**2 - 8*x - 11. Let o(s) = -7*s**2 + 3*s + 4. Let q(p) = h*o(p) + v*r(p). Determine d so that q(d) = 0.
-1/3, 0
Let r(f) be the second derivative of -2*f**6/15 - 2*f**5/5 + f**4/3 + 4*f**3/3 - 14*f. Factor r(w).
-4*w*(w - 1)*(w + 1)*(w + 2)
Let o(x) be the first derivative of x**5/60 + x**4/9 + 2*x**3/9 + 20*x + 25. Let f(t) be the first derivative of o(t). Factor f(l).
l*(l + 2)**2/3
Let u(j) be the third derivative of -j**5/120 - 67*j**4/24 - 4489*j**3/12 - 2*j**2 + 80. Let u(h) = 0. Calculate h.
-67
Let m(u) be the second derivative of u**5/100 + 7*u**4/60 - 49*u**3/30 - 11*u**2/2 - 15*u + 11. Let m(n) = 0. What is n?
-11, -1, 5
Suppose -2*c + 3*c = 4. Suppose -3*d + 12 = -p - p, 23 = c*d - 5*p. Factor 16/7*t**2 - 2/7*t**5 + 4/7*t**3 + d*t - 4/7*t**4 + 4/7.
-2*(t - 2)*(t + 1)**4/7
Suppose -6*y = -5*y + 2. Let t be (-2 - y)*(-26)/26. Factor t*h + 2/3*h**3 + 2/3*h**2 + 0.
2*h**2*(h + 1)/3
Let r(o) be the second derivative of -o**4/12 - 5*o**3/2 + 156*o. Factor r(c).
-c*(c + 15)
Let k = -3584 - -3584. Determine g so that k - 4/11*g - 2/11*g**2 = 0.
-2, 0
Let u(c) be the first derivative of -2*c**5/45 + c**4/3 + 22*c**3/3 - 36*c**2 - 648*c - 103. Factor u(q).
-2*(q - 9)**2*(q + 6)**2/9
Let a(f) = f**2 + 15*f - 14. Let b be a(-16). Factor -2*v**3 - b*v + 6*v + 4*v**2 + 0*v - 2*v**3 - 4*v**4.
-4*v*(v - 1)*(v + 1)**2
Suppose -8*b + 14 = -34. Let g(n) be the third derivative of 1/300*n**b + 0*n**4 + 0 - 7*n**2 + 0*n + 1/150*n**5 + 0*n**3. Factor g(p).
2*p**2*(p + 1)/5
Suppose 3*a = -2*a + 5*z, 2*a + 12 = -4*z. Let u be (-3)/(225/35) - a/3. Find g, given that u*g**3 + 1/5 - 1/5*g - 1/5*g**2 = 0.
-1, 1
Let c(u) be the third derivative of -1/6*u**4 + 0*u - 2/3*u**3 - 1/60*u**5 + 55*u**2 + 0. Factor c(g).
-(g + 2)**2
Suppose x**3 - x**3 + 8*x**4 + 12*x**4 - 16*x**4 + 2*x**5 + 2*x**3 = 0. What is x?
-1, 0
Suppose -10*s - 324 = -354. Let a(q) be the first derivative of 0*q - 13/12*q**4 - 1/5*q**5 - 16/9*q**s - 5 - 2/3*q**2. Factor a(u).
-u*(u + 2)**2*(3*u + 1)/3
Let o = -67 - -114. Suppose 50*t + 3*t**2 + o + 78 + 2*t**2 = 0. What is t?
-5
Suppose 0 = -x + 5*j - 7, 11*x = 13*x - 5*j + 4. Let a(l) be the second derivative of 3/10*l**5 + 0*l**2 + 0 - 5*l + 1/6*l**4 + 0*l**x. Solve a(m) = 0.
-1/3, 0
Factor -3 - 25/8*z - 1/8*z**2.
-(z + 1)*(z + 24)/8
Find i, given that 2*i**3 - 2*i**5 - 