14 = -4*s, 46 = 4*v + 3*s - 5*s. Solve v*r + 8 + 5*r**2 - 2 + 2*r + 4 = 0 for r.
-2, -1
Let h be 174/(-1305) + 7/15. Determine n, given that 0 + 0*n + 1/3*n**4 + 1/3*n**5 - 1/3*n**3 - h*n**2 = 0.
-1, 0, 1
Let n = 7 - 5. Let d be (-2)/6*-8 - n. Factor d*t + 1/3*t**2 + 0.
t*(t + 2)/3
Let s(u) be the second derivative of u**5/20 + u**4/12 - 8*u**3/3 + 10*u**2 + 286*u. Let s(c) = 0. What is c?
-5, 2
Let d(v) be the first derivative of 2*v**3/15 + 212*v**2/5 + 22472*v/5 + 715. Determine o so that d(o) = 0.
-106
What is f in 1/3*f**2 - 32/3 + 14/3*f = 0?
-16, 2
Let t(v) be the second derivative of -v**7/5040 - v**6/720 - v**5/240 - 5*v**4/12 - 3*v. Let m(b) be the third derivative of t(b). Let m(d) = 0. What is d?
-1
Factor 5229 - 5247 - 21*b**2 + 9*b + 20*b**2.
-(b - 6)*(b - 3)
Suppose 145/2*k**2 - 48 - 23*k - 3/2*k**3 = 0. Calculate k.
-2/3, 1, 48
Let k = -16 - -21. Suppose -6*j + k = -13. Factor 0*a**2 - a**2 + 2 - 3*a - a**4 - 27*a**j + 30*a**3.
-(a - 2)*(a - 1)**2*(a + 1)
Suppose 3 = p - 3. Let 22*r**2 - 22*r**3 - 8*r**2 + 13*r**5 + 249*r**4 + p*r - 261*r**4 - 2 + 3*r**5 = 0. What is r?
-1, -1/2, 1/4, 1
Let w(b) = 34*b**3 - 1390*b**2 - 9*b. Let f(a) = 8*a**3 - 348*a**2 - 2*a. Let u(z) = 9*f(z) - 2*w(z). Factor u(d).
4*d**2*(d - 88)
Let m(t) be the first derivative of -3*t**4/4 + 3*t**2/2 + 177. Determine q so that m(q) = 0.
-1, 0, 1
Suppose -234 - 248 = -241*q. Find g such that 1/3 + 3/2*g + 11/6*g**3 + 1/2*g**4 + 5/2*g**q = 0.
-1, -2/3
Let x(d) be the first derivative of -d**8/672 - d**7/140 - d**6/80 - d**5/120 - 15*d**2/2 + 16. Let p(m) be the second derivative of x(m). Factor p(h).
-h**2*(h + 1)**3/2
Let a = 12817/19221 - 1/6407. What is k in -4/3*k - a*k**4 + 0*k**3 + 0 + 2*k**2 = 0?
-2, 0, 1
Let c(g) be the third derivative of g**7/14 + 21*g**6/40 - g**5/20 - 21*g**4/8 - 2*g**3 + 229*g**2 + 2*g. Find x, given that c(x) = 0.
-4, -1, -1/5, 1
Let d be (3 - 4) + 2/(-8)*-4. Suppose 3*a**2 - a**3 - 32*a + d*a**2 + 30*a = 0. What is a?
0, 1, 2
Suppose -3513 = 3*u - 1068. Let o = -3239/4 - u. Determine s, given that 3/2*s**3 - 3/2*s - o*s**4 + 0 + 21/4*s**2 = 0.
-1, 0, 2/7, 1
Suppose u + 4 = 2*t - 45, 73 = 4*t + 3*u. Find f such that 2 - 12 + 10*f**5 - 72*f + 31*f**4 - t*f**3 - 92*f**2 - 6 - 7*f**4 = 0.
-2, -1, -2/5, 2
Let 5/3*j + 2/3 + 2/3*j**2 = 0. What is j?
-2, -1/2
Let k(p) be the third derivative of p**7/350 + p**6/200 - 7*p**5/100 - p**4/40 + 3*p**3/5 + 6*p**2. Determine h, given that k(h) = 0.
-3, -1, 1, 2
Suppose -210*z + 289 + 551 = 0. Find t such that 6*t**2 + 14/3*t**3 - 2*t**4 - 14/3*t - z = 0.
-1, -2/3, 1, 3
Let r(h) = -22*h + 2. Let o be r(-5). Suppose a + 0 + 10 = 2*d, 0 = -2*d - 3*a + 2. Solve -d*g**2 - 112 - 6*g**4 + o - 10*g**3 = 0 for g.
-1, -2/3, 0
Let i(o) = -o**3 + 22*o**2 + 24*o - 13. Let t be i(23). Let c = t - 7. Solve -2/7*n**c - 2/7*n**2 + 0*n + 0 = 0 for n.
-1, 0
Suppose 91*k - 103*k = 0. Suppose -3/5*y**4 + 0 + 2/5*y**3 + 1/5*y**5 + 0*y**2 + k*y = 0. What is y?
0, 1, 2
Let h(m) be the first derivative of -4*m**5/5 - 7*m**4/2 + 71*m**3/12 + 105*m**2/4 - 225*m/4 - 66. Factor h(i).
-(i + 3)**2*(4*i - 5)**2/4
Let d(y) be the first derivative of -3*y**2 + 2/3*y**3 + 19 + 0*y. Factor d(g).
2*g*(g - 3)
Let c(t) = 35*t**3 - 347*t**2 - 93*t - 7. Let g(r) = 35*r**3 - 346*r**2 - 94*r - 6. Let k(n) = 6*c(n) - 7*g(n). Factor k(l).
-5*l*(l - 10)*(7*l + 2)
Solve -4/5*h**4 + 88*h + 136/5*h**3 + 432/5*h**2 + 148/5 = 0.
-1, 37
Suppose -2 = 3*x - 44. Let b be -3 - -2*x/2. Determine a, given that 5*a**2 - 2*a + 2*a**3 - 8*a**3 - 2*a**4 - b*a**2 = 0.
-1, 0
Let a(u) be the third derivative of -u**8/4032 + u**6/144 + 7*u**5/60 - 4*u**2. Let s(c) be the third derivative of a(c). Factor s(x).
-5*(x - 1)*(x + 1)
Let h(z) be the third derivative of 7*z**5/240 + 467*z**4/96 - 67*z**3/12 + 652*z**2. Factor h(c).
(c + 67)*(7*c - 2)/4
Suppose -53*n = 150*n + 546 - 546. Factor -8/3*q**3 + n + 8/3*q**2 - 2*q**4 + 0*q.
-2*q**2*(q + 2)*(3*q - 2)/3
Suppose 4*u = 2*f - 0 + 10, u - 3*f = 5. Let -2/3*y + 0 + 2/3*y**3 + 0*y**u = 0. Calculate y.
-1, 0, 1
Let l(r) = -5*r**3 + r**2 - 4*r. Let z(k) = 13*k - 6*k + k**2 - 6*k. Let o(f) = -l(f) - 4*z(f). Find b such that o(b) = 0.
0, 1
Suppose 13*h + 21 = 112. Suppose h*d = 6*d. Factor d*z + 1/2*z**3 + 0*z**2 + 0.
z**3/2
Let s(x) be the first derivative of -16*x**3/9 - 50*x**2/3 - 8*x + 348. Factor s(o).
-4*(o + 6)*(4*o + 1)/3
Let n be (47 - 51)*(3 + -5)/4. Factor -3/7*z**3 - 27/7 - 9/7*z + 15/7*z**n.
-3*(z - 3)**2*(z + 1)/7
Let k(b) be the second derivative of -1/32*b**4 - 5/2*b**2 + 0 + 1/12*b**3 + 1/480*b**6 + 0*b**5 - 10*b. Let y(z) be the first derivative of k(z). Factor y(r).
(r - 1)**2*(r + 2)/4
Let h(l) = 3*l**2 + 30*l - 17. Let x be h(-15). Let t be ((-2)/(-5))/(x/80). Let 0 - t*i**2 + 2/13*i = 0. Calculate i.
0, 1
Let g(k) be the first derivative of -4*k**7/315 + k**6/36 - k**5/90 - 8*k**2 - 12. Let v(a) be the second derivative of g(a). Factor v(u).
-2*u**2*(u - 1)*(4*u - 1)/3
Let l(n) be the third derivative of 0*n + 0*n**4 + 1/360*n**6 + 0*n**5 + 0 - 1/6*n**3 - 2*n**2. Let v(z) be the first derivative of l(z). Factor v(q).
q**2
Let z(t) = 8*t**5 + 7*t**4 + 17*t**3 + 9*t**2 - 5*t - 6. Let p(d) = -13*d**5 - 11*d**4 - 26*d**3 - 14*d**2 + 7*d + 9. Let n(b) = -5*p(b) - 8*z(b). Factor n(s).
(s - 3)*(s - 1)*(s + 1)**3
Let f = 29 + -30. Let g be (1 - f) + 7 + -6. Suppose -3*x**5 + 5*x**4 + 8*x**3 - 2*x**5 - 8*x**g + 10*x**3 = 0. Calculate x.
-1, 0, 2
Let r = -40 + 48. Let -r + 94*c**2 - 180*c**2 - 156*c**2 + 113*c - 25*c = 0. Calculate c.
2/11
Factor 3/4*i**2 - 21/2*i + 147/4.
3*(i - 7)**2/4
Let w(c) = -c + 5. Let o be w(0). Suppose 0 = v + 2*v + 3*a - 24, 3*v = -o*a + 34. Let -6*d**4 + 5*d**v - d**2 + d - 3*d**2 + 4*d**4 = 0. Calculate d.
0, 1/2, 1
Let h(o) = o**2 - o + 1. Let b(t) = -2*t**3 + 44*t**2 - 70*t + 40. Let g(m) = -b(m) + 12*h(m). Find j, given that g(j) = 0.
1, 14
Let p(i) be the first derivative of 125*i**6/6 + 65*i**5 + 70*i**4 + 80*i**3/3 - 81. What is n in p(n) = 0?
-1, -4/5, 0
Find q, given that -11/3*q - 1/3*q**2 + 0 = 0.
-11, 0
Factor -4/11*d**3 - 2/11 + 0*d**2 + 4/11*d + 2/11*d**4.
2*(d - 1)**3*(d + 1)/11
Let t(m) be the first derivative of -m**4/6 - 5*m**3/3 + 10*m + 8. Let w(i) be the first derivative of t(i). What is o in w(o) = 0?
-5, 0
Suppose 12 = 11*t - 7*t. Solve 4*a - 2*a**4 + 4*a**t + 2*a**4 - 1 - 6*a**2 - a**4 = 0.
1
Let p(y) = 3*y**2 - 3*y - 3. Let o be p(2). Let c(k) be the third derivative of 0 + 0*k - 1/4*k**4 + 1/15*k**5 - 4*k**2 - 2/3*k**o. Factor c(q).
2*(q - 2)*(2*q + 1)
Factor 605 + 35*r**2 + 29*r**2 + 30*r**2 - 110*r - 89*r**2.
5*(r - 11)**2
Factor 67*f - 7*f**3 + 6*f**4 - 68*f + 9*f**5 - 6*f**2 - f**3.
f*(f - 1)*(f + 1)*(3*f + 1)**2
Let p(j) = 4*j + 34. Let s be p(-8). Factor 9*o**3 - 5*o**3 - 20*o + 12*o**s + 0*o**3 + 4*o.
4*o*(o - 1)*(o + 4)
Let y(v) be the third derivative of -11/8*v**6 + 0*v**4 + 0*v**3 + 0*v + 43*v**2 - 1/6*v**7 + 5/6*v**5 + 0. Find d, given that y(d) = 0.
-5, 0, 2/7
Solve 48 - 855*v + 5*v**2 - 198 + 1000*v = 0.
-30, 1
Let p(m) be the second derivative of -m**4/36 - 17*m**3/18 - 26*m**2/3 + 407*m. Factor p(l).
-(l + 4)*(l + 13)/3
Let q be (-63)/168 - (-2 + (-65)/(-40)). Let x(h) be the second derivative of -4*h - 1/12*h**4 + 0 - 1/3*h**3 + q*h**2. Factor x(n).
-n*(n + 2)
Suppose 10*v + 99 = 7*v. Let r be (-22)/v + (-8)/21. Factor r*j - 2/7*j**2 + 2/7 - 2/7*j**3.
-2*(j - 1)*(j + 1)**2/7
Suppose -32*j + 2/3*j**2 + 384 = 0. What is j?
24
Let v(x) = -x**2 + 2*x. Let u be 1/(-4)*2*-4. Let y be v(u). Factor y*f**3 + 64*f + 3*f**2 - 58*f - 3*f**3.
-3*f*(f - 2)*(f + 1)
Factor 0*o - 118/3*o**2 - 2/3*o**5 + 0 - 238/3*o**3 - 122/3*o**4.
-2*o**2*(o + 1)**2*(o + 59)/3
Let u(g) = -3*g**3 + 13*g**2 - 2*g + 38. Let r(l) = -2*l**3 + 14*l**2 - l + 37. Let o(b) = 4*r(b) - 3*u(b). Let i be o(-17). Factor -1/6*c + i + 1/6*c**2.
c*(c - 1)/6
Let a(o) = 4*o**3 - o + 1. Let j(c) = 16*c**3 - 84*c**2 - 77*c + 165. Let t(f) = 5*a(f) - j(f). Factor t(h).
4*(h - 1)*(h + 2)*(h + 20)
Let k be (-203)/(-63) - 3 - (-16)/9. Factor 5*s - 34 + 2*s**k + 26 + s.
2*(s - 1)*(s + 4)
Let n(c) be the first derivative of -3*c**6/25 - 3*c**5/5 - 2*c**4/5 + 8*c**3/5 - 44*c + 27. Let a(m) be the first derivative of n(m). Let a(k) = 0. What is k?
-2, 0, 2/3
Find c, given that 2/9*c**5 - 4