*o**3 + 224/5 + 6*o**2 - 144/5*o = 0.
4, 7
Let a = 4 + -2. Factor -2*w**2 + 6*w**2 - 2*w**2 - a*w - 4*w**2.
-2*w*(w + 1)
Let i(q) be the first derivative of -q**3/4 + 24*q**2 - 768*q + 138. Let i(o) = 0. What is o?
32
Let a be (96/192)/(2 + 6/(-8)). Let t = -6 - -10. Suppose -a*u**3 + 2/5*u + 1/5*u**t - 1/5*u**2 + 0 = 0. What is u?
-1, 0, 1, 2
Suppose j - 11 = -2*q + 6*j, -2*q + 3*j + 9 = 0. Determine y, given that 6*y**3 + 2*y**q - 17*y**3 + 3*y**2 + 6*y**3 = 0.
0, 1
Solve 48/7*i**2 - 64/7*i + 1/7*i**4 - 12/7*i**3 + 0 = 0 for i.
0, 4
Factor 4/7*b**2 - 4/7*b - 8/7.
4*(b - 2)*(b + 1)/7
Let d(v) be the second derivative of -8*v**2 - 1/5*v**5 + 0 + 4/3*v**4 - 16*v + 2/3*v**3. Let d(u) = 0. Calculate u.
-1, 1, 4
Let j(l) be the first derivative of -l**6/15 + 9*l**4/5 + 64*l**3/15 + 3*l**2 + 229. Find v, given that j(v) = 0.
-3, -1, 0, 5
Determine x so that -5*x**2 - 2 - 8539*x - 8 + 8524*x = 0.
-2, -1
Let g(t) be the third derivative of -t**7/2520 - t**6/1080 + t**5/360 + t**4/72 + t**3/6 - 2*t**2. Let s(m) be the first derivative of g(m). Factor s(a).
-(a - 1)*(a + 1)**2/3
Let l(y) be the second derivative of -y**6/15 + 7*y**5/5 - 2*y**4 - 14*y**3/3 + 13*y**2 + 36*y + 1. Factor l(p).
-2*(p - 13)*(p - 1)**2*(p + 1)
Let w(o) = 3*o**2 + 8*o + 17. Let u be w(-5). Suppose -43 = 3*g - u. Solve 0 + 3/2*h**g - 5/4*h**2 - 1/4*h = 0.
-1/6, 0, 1
Let m(w) = w**2 - 2*w - 3. Let z(h) = 2*h - 1. Let a(i) = -i. Let f(v) = -3*a(v) - z(v). Suppose 6 - 3 = -3*b. Let d(q) = b*m(q) - 4*f(q). Factor d(p).
-(p + 1)**2
Let j(v) be the third derivative of -5*v**2 + 0 - 50/9*v**3 + 0*v - 1/180*v**5 - 5/18*v**4. Find w, given that j(w) = 0.
-10
Let z(a) be the first derivative of -a**4/26 + a**2 - 24*a/13 - 72. Factor z(t).
-2*(t - 3)*(t - 1)*(t + 4)/13
Let d(y) be the second derivative of 0 + 3/4*y**5 + 0*y**3 + 1/6*y**6 + 5/6*y**4 + 0*y**2 - 18*y. Factor d(l).
5*l**2*(l + 1)*(l + 2)
Factor 19*i + 1/2*i**4 - 361/2 + 180*i**2 - 19*i**3.
(i - 19)**2*(i - 1)*(i + 1)/2
Let c(n) be the third derivative of n**7/2520 + n**6/1080 + n**3/6 + 3*n**2. Let z(h) be the first derivative of c(h). Factor z(a).
a**2*(a + 1)/3
Let f(v) be the third derivative of -10/3*v**3 + 0*v + 0 + 1/3*v**4 + 4*v**2 - 1/75*v**5. Factor f(i).
-4*(i - 5)**2/5
Let d be -10*(-1)/6*-3. Let k be (-35)/(d/1)*2/7. Factor 1/3*s**3 + 0*s + 0 - 1/3*s**k.
s**2*(s - 1)/3
Let t(z) be the third derivative of -1/180*z**6 - 6*z**2 + 1/6*z**3 + 0*z**5 + 0*z + 0 + 1/12*z**4. Let o(l) be the first derivative of t(l). Factor o(h).
-2*(h - 1)*(h + 1)
Let s = 43131 - 301916/7. Factor 0*v + s*v**2 + 2/7*v**3 + 0.
v**2*(2*v + 1)/7
Suppose f - 2 = -2*b, -2*b + 0*b = 2*f + 2. Let p(m) be the first derivative of -m**2 - 7 + 2/9*m**b - 4/3*m + 2/15*m**5 + 1/2*m**4. Factor p(j).
2*(j - 1)*(j + 1)**2*(j + 2)/3
Let z(b) be the first derivative of 4*b**5/5 - 11*b**4 - 56*b**3 - 8*b**2 + 224*b - 239. Let z(y) = 0. Calculate y.
-2, 1, 14
Let b(f) be the first derivative of -f**6/2520 + 14*f**3/3 - 2. Let g(z) be the third derivative of b(z). Factor g(a).
-a**2/7
Let z(t) = 7*t**2 + 22*t + 8. Let a be 1 + -5 + 4 + -8. Let c(h) = -2*h**2 - 7*h - 3. Let n(w) = a*c(w) - 3*z(w). Suppose n(q) = 0. Calculate q.
-2, 0
Let c(x) be the second derivative of -1/9*x**3 + 0*x**2 + 0 - 25*x - 17/36*x**4 + 19/60*x**5. Suppose c(k) = 0. Calculate k.
-2/19, 0, 1
Let q = -81 + 62. Let h = q + 58/3. Determine b, given that -h*b + 0 + b**2 + 1/3*b**4 - b**3 = 0.
0, 1
Let y = 451 - 247. Factor -5*b**2 + b**3 - y + 204 + 4*b.
b*(b - 4)*(b - 1)
Let z = 468 + -1394/3. What is o in 5/6*o**2 + z*o + 0 = 0?
-4, 0
Let d(b) = b**3 - 9*b**2 + 8*b + 2. Let v(c) = 3*c**2 + c - 2. Let z be v(-2). Let l be d(z). Factor -4*i**3 - i**3 + 20 + 4*i - 5*i**l + 16*i.
-5*(i - 2)*(i + 1)*(i + 2)
Let g = -199 + 199. Suppose -4*z + 20 = 0, g = -5*t + t - 3*z + 23. Suppose 3/5*x**3 - 12/5*x - 3/5*x**t + 12/5 = 0. Calculate x.
-2, 1, 2
Suppose 0 = -3*n + 15, -165 = 5*h - 0*n - 5*n. Let w be (-21)/h - 6/8. Let -1/4*f**5 - 1/4*f**4 + 0 + w*f + 0*f**2 + 1/2*f**3 = 0. Calculate f.
-2, 0, 1
Let d(z) be the second derivative of -z**8/8400 - z**7/2100 + z**6/360 + z**5/100 + 55*z**3/6 - 19*z. Let o(j) be the second derivative of d(j). Factor o(l).
-l*(l - 2)*(l + 1)*(l + 3)/5
Suppose -a = -4*a + 48. Let p be 3*(2 - a/12). Factor -11*j**2 - 3*j**3 - 3*j + 6*j**2 + p - 3*j**2.
-(j + 1)*(j + 2)*(3*j - 1)
Let w(a) be the second derivative of -a**7/168 - 5*a**6/72 - a**5/3 - 5*a**4/6 + a**3 - 6*a. Let k(l) be the second derivative of w(l). Factor k(n).
-5*(n + 1)*(n + 2)**2
Let r(i) be the second derivative of i**4/4 + 3*i**3 - 24*i**2 + 149*i. Solve r(c) = 0.
-8, 2
Let q(d) be the third derivative of d**8/672 + d**7/210 - d**6/15 - 19*d**5/60 + 5*d**4/16 + 3*d**3 + 3*d**2 - 14*d. Let q(p) = 0. Calculate p.
-3, -1, 1, 4
Suppose 0 = -6*r + 5*r + 3. Let o(m) = 2*m + 3. Let u be o(r). Solve 10*b + 2*b**2 + 6 - 5*b - u*b**3 - 8*b**2 + 4*b = 0.
-1, -2/3, 1
Let f(y) = y**2 - 7*y + 6. Let x be f(7). Factor -11*q**2 + 12*q - 3*q**2 - x*q**3 + 23*q**4 - 48*q**4 + 2*q**5 + 31*q**4.
2*q*(q - 1)**2*(q + 2)*(q + 3)
Let y(o) be the first derivative of 4*o**5/5 + 7*o**4 - 4*o**3/3 - 14*o**2 - 147. Factor y(p).
4*p*(p - 1)*(p + 1)*(p + 7)
Let k(b) be the second derivative of b**4/66 - 8*b**3/33 + 12*b**2/11 + 80*b. Factor k(d).
2*(d - 6)*(d - 2)/11
Factor -1/8*v**2 - 1/8*v**3 + 0 + 1/4*v.
-v*(v - 1)*(v + 2)/8
Let i(d) be the second derivative of d**7/9 - 2*d**6/5 - 13*d**5/30 + 34*d**4/9 - 20*d**3/3 + 16*d**2/3 + 7*d + 38. Find p, given that i(p) = 0.
-2, 4/7, 1, 2
Let v = 6973 - 6971. Factor -1/3 - 1/3*w**v + 2/3*w.
-(w - 1)**2/3
Let y(j) be the first derivative of -3*j**5/10 + 33*j**4/8 - 14*j**3 + 70. Factor y(p).
-3*p**2*(p - 7)*(p - 4)/2
Suppose 2*b - 3*u = -0*b + 6, -15 = -5*b - 3*u. Let j = 3 - 1. Factor x**3 - j*x**4 - 4*x**b + x**3.
-2*x**3*(x + 1)
Let i = 30 - 27. Suppose i*c = c + 4. Solve b**3 + 5*b**4 - 8*b**2 + 4*b**c - b - b**4 = 0 for b.
-1, -1/4, 0, 1
Let h(d) = 19*d**2 - 2*d + 1. Let k be h(1). Let l = -15 + k. Factor 0*x + 3*x**2 + 3*x - x**3 + 3*x**3 - 5*x**3 - l*x**4.
-3*x*(x - 1)*(x + 1)**2
Let d(x) be the first derivative of -x**4/6 + 26*x**3/9 - 16*x**2 + 24*x + 390. Solve d(w) = 0 for w.
1, 6
Factor 1/2*b + 1/4*b**5 - 1/4*b**2 - 3/4*b**3 + 0 + 1/4*b**4.
b*(b - 1)**2*(b + 1)*(b + 2)/4
Let z = -7 - -9. Suppose -2 + 2 = z*q. Find j, given that -3/4*j**2 + 0*j + 0 + 3/4*j**4 + q*j**3 = 0.
-1, 0, 1
Let q(b) be the first derivative of -b**3/9 - 20*b**2/3 - 13*b + 127. Factor q(f).
-(f + 1)*(f + 39)/3
Let c(l) be the first derivative of 5*l**6/14 - 3*l**5/5 - 39*l**4/28 + 11*l**3/7 + 12*l**2/7 - 12*l/7 + 38. Determine x, given that c(x) = 0.
-1, 2/5, 1, 2
Let k(s) be the third derivative of s**6/540 - s**5/180 - s**4/18 + 5*s**3/3 - 5*s**2. Let j(z) be the first derivative of k(z). Let j(b) = 0. What is b?
-1, 2
Let r(q) be the first derivative of -q**3/4 - 3*q**2/8 + 43. Factor r(n).
-3*n*(n + 1)/4
Suppose -8*u + 3*u + 2*v + 54 = 0, 0 = -4*u + 4*v + 36. Factor u + 8*k**3 + 6*k - 7*k**2 + 6*k**2 + 3*k**2 - 28*k.
2*(k - 1)*(k + 2)*(4*k - 3)
Let q(b) be the second derivative of -2*b**7/105 + 6*b**5/25 - 8*b**4/15 + 2*b**3/5 + b + 13. Determine x so that q(x) = 0.
-3, 0, 1
Let b be (-11 + 5 + 6)/(7/(-1)). Solve b - 1/3*h**2 + 1/6*h**3 + 0*h = 0.
0, 2
Let h(j) = -17*j**2 - j. Let t(n) = 53*n**2 + 205*n + 126. Let g(p) = 4*h(p) + t(p). Factor g(y).
-3*(y - 14)*(5*y + 3)
Let o(c) = -60*c + 2583. Let a be o(43). Suppose -27/5*s**2 + 3/5*s**4 + 0*s**a + 36/5 + 12/5*s = 0. Calculate s.
-3, -1, 2
Let k(u) = 5*u**2 - 43. Let a be k(-3). Let j(n) be the second derivative of -2/39*n**3 + 0 - 1/13*n**a - 1/78*n**4 + 2*n. Find f, given that j(f) = 0.
-1
Let x(a) = -11*a**4 - 14*a**3 - 13*a**2 + 26*a - 12. Let t(z) = -31*z**4 - 40*z**3 - 38*z**2 + 77*z - 36. Let n(h) = -6*t(h) + 17*x(h). Factor n(r).
-(r - 2)**2*(r - 1)*(r + 3)
Factor -8*a**3 - 55*a**2 + 198 + 3*a**3 + 5*a - 140*a**2 - 23 + 20*a**2.
-5*(a - 1)*(a + 1)*(a + 35)
Let a(l) = -4*l**2 - 14*l - 19. Let r(s) = 7*s**2 + 27*s + 37. Let d(f) = -5*a(f) - 3*r(f). Let g be d(-9). Find q, given that 4/7*q**g + 36/7 - 24/7*q = 0.
3
Suppose -4*d + 5*x + 32 = 0, -x - 7 = -d - 0*x. Find a such that 36*a**3 - 5*a**5 - 55*a**d + 24*a**3 = 0.
-1, 0, 1
Suppose