 + 127*r**2 - 359*r**2 + 145*r**2 = 0.
-34, 2, 3
Suppose 184*p**2 + 2/5*p**5 + 1536/5 - 2432/5*p + 0*p**3 - 26/5*p**4 = 0. What is p?
-6, 1, 2, 8
Let m(r) be the third derivative of 7/240*r**6 - 6*r**2 + 6 - 50/3*r**3 - 71/60*r**5 + 185/12*r**4 + 0*r. Factor m(q).
(q - 10)**2*(7*q - 2)/2
Suppose 0 = -g - 7 + 16. Let a = -382 - -384. Factor c**a + c - 8*c + g*c.
c*(c + 2)
Determine s so that 2*s**5 + 5/2*s**2 + 0 - 5*s**3 - 5/2*s**4 + 3*s = 0.
-1, -3/4, 0, 1, 2
Let u be 8/6*((-1452)/9680 - 918/(-120)). Determine a, given that 121/3*a - 184/3*a**2 + 1/3*a**5 + 42*a**3 - u - 34/3*a**4 = 0.
1, 30
Suppose 12*a - 14*a + 2*r = 40, -3*r - 40 = a. Let x be (-4 - -11)*1 - (30 + a). Factor 1/12*o**5 + 3/2*o**3 - 11/6*o**x + 13/12*o - 7/12*o**4 - 1/4.
(o - 3)*(o - 1)**4/12
Find y such that -382/9*y**2 - 376/3*y - 16/3*y**3 - 2/9*y**4 - 88 = 0.
-11, -6, -1
Let f = -8773 - -8794. Let x(m) be the third derivative of -f*m**2 + 0*m + 0*m**3 - 1/15*m**5 + 0 + 1/6*m**4. Factor x(p).
-4*p*(p - 1)
Factor -4*j**3 + 495*j - 120 - 8*j**3 - 160*j**2 - 79*j - 124*j.
-4*(j - 1)*(j + 15)*(3*j - 2)
Let s(j) be the second derivative of -2*j**6/15 - 2*j**5 - 16*j**4/3 + 11*j + 9. Determine h so that s(h) = 0.
-8, -2, 0
Let q = 113305/12 - 9442. Let h(c) be the second derivative of 6*c + q*c**4 - 3/4*c**2 + 0 + 1/24*c**3 + 1/80*c**5. Find b, given that h(b) = 0.
-3, -2, 1
Let f = -47479/4 - -11870. Factor -4 + 6*z + f*z**3 - 9/4*z**2.
(z - 4)**2*(z - 1)/4
Let k(m) be the first derivative of -3*m**6/10 - 156*m**5/25 - 621*m**4/20 + 162*m**3/5 + 621. Factor k(q).
-3*q**2*(q + 9)**2*(3*q - 2)/5
Let k(d) be the second derivative of -16*d - 5/9*d**2 + 0 + 7/9*d**3 - 2/27*d**4. Factor k(r).
-2*(r - 5)*(4*r - 1)/9
Suppose 5*r - 2*y - 14 = 0, -2*y - y + 2 = 4*r. Suppose -9*j**3 + 59*j**2 + 66 + 8*j - j**2 + 151*j + 26*j**r = 0. What is j?
-1, -2/3, 11
Let 0*b**2 - 180*b - 2*b**2 + 336 + 125*b + 131*b = 0. What is b?
-4, 42
Let r(x) be the second derivative of -9*x**7/56 - 13*x**6/8 + 633*x**5/80 + 653*x**4/16 + 229*x**3/4 + 27*x**2 + 6504*x. Solve r(f) = 0 for f.
-9, -1, -2/9, 4
Let i(r) = 17*r**2 - 62*r + 12. Let y be (42/(-35))/((-4)/30). Suppose 4 = y*p + 13. Let f(v) = v**2 - v + 1. Let m(j) = p*i(j) - 3*f(j). Factor m(g).
-5*(g - 3)*(4*g - 1)
Factor -1/2*s**5 + 294*s**2 - 140*s**3 + 0 + 0*s + 31/2*s**4.
-s**2*(s - 14)**2*(s - 3)/2
Let z be -2 - -531 - 16/4. Let v = 528 - z. Let 16/3*o**2 + 4/3 - 2*o**v - 14/3*o = 0. Calculate o.
2/3, 1
Suppose -8 = 9*y - 89. Suppose 41 = 10*n - y. Suppose -40/13*t**3 + 2/13*t**4 + 8/13 - 10/13*t**2 + 32/13*t + 8/13*t**n = 0. What is t?
-2, -1, -1/4, 1, 2
Let h(q) be the second derivative of -3/10*q**5 + 2/7*q**7 + 0*q**3 + 7/10*q**6 - 23*q + 0*q**2 + 0 + 0*q**4. Factor h(o).
3*o**3*(o + 2)*(4*o - 1)
Let v(w) be the second derivative of -2809*w**6/36 + 5565*w**5/4 - 54065*w**4/8 - 1575*w**3 - 135*w**2 - 3*w + 11. Factor v(x).
-5*(x - 6)**2*(53*x + 3)**2/6
Let m = 70 + -57. Suppose -2*i = r - m, -2*r + i - 2*i = -14. Find l such that 2*l**3 - 4*l**2 + 0*l**5 + 3*l**4 + 3 - l - 2*l**2 - l**r = 0.
-1, 1, 3
Let m(t) = 79*t**2 - 1343*t + 3. Let q be m(17). Factor 0*d + 0*d**2 + 6/11*d**4 + 0 - 2/11*d**5 - 4/11*d**q.
-2*d**3*(d - 2)*(d - 1)/11
Let 5*u - 1/4*u**2 - 24 = 0. Calculate u.
8, 12
Factor -309 - 3*l**2 - 515 + 7*l**2 - 360*l + 88.
4*(l - 92)*(l + 2)
Solve 644/3 + 2/3*f**2 + 1289/3*f = 0.
-644, -1/2
Suppose -1207 + 3967*p**3 - 54075*p + 636*p**3 + 4957 + 81*p**4 + 46281*p**2 - 640*p**3 = 0. Calculate p.
-25, 2/27, 1
Suppose -9*h - 171 = -12*h. Suppose -5*v - 84 - 4*v - 3*v**2 + h*v + 3*v**2 - 3*v**2 = 0. Calculate v.
2, 14
Let h(i) be the second derivative of i**7/70 - 13*i**6/90 + i**5/15 + 4*i**4/3 - 5*i**3/6 - 196*i. Let g(a) be the second derivative of h(a). Factor g(n).
4*(n - 4)*(n - 1)*(3*n + 2)
Let q(y) = 9*y**2 + 238*y - 494. Let m(d) = -66*d**2 - 1665*d + 3459. Let o(x) = 2*m(x) + 15*q(x). Suppose o(a) = 0. Calculate a.
-82, 2
Let y = -705 + 706. Let z be 1122/408 + (-3 + y)/1. Let 0*r - 3/4*r**2 + z = 0. What is r?
-1, 1
Let w(y) = y**2 - 21*y - 18. Let x be w(22). Factor 163*f - 2*f**x - 163*f - 3*f**4 - 15*f**3.
-5*f**3*(f + 3)
Determine k so that -177632/3*k - 56620/3*k**3 + 175684/3*k**2 + 59536/3 - 964/3*k**4 - 4/3*k**5 = 0.
-122, 1
Let l(t) be the third derivative of -t**7/105 - 3*t**6/2 - 812*t**5/15 + 3087*t**4/2 - 16807*t**3/3 - 105*t**2 + t. Factor l(f).
-2*(f - 7)*(f - 1)*(f + 49)**2
Let g(b) be the first derivative of -b**4/66 - b**3/11 - 2*b**2/11 - 62*b - 56. Let i(z) be the first derivative of g(z). Factor i(h).
-2*(h + 1)*(h + 2)/11
Factor 1913605*z - 1276802 + 3/4*z**3 + 4793/2*z**2.
(z + 1598)**2*(3*z - 2)/4
Suppose -3 = -3*g - 2*v, -3*v + 1 = -3*g + 19. Suppose -99*s - 21 + 325 = -290. Determine k so that -14*k**2 - 3*k**3 - s*k**2 + 27*k**g - 4*k = 0.
-1/6, 0, 1
Let h(k) = -2. Let o be ((-6)/(-4))/(-5 + (-344)/(-64)). Let n(i) = 14*i**3 + 108*i**2 + 136*i - 44. Let w(u) = o*h(u) + 2*n(u). Suppose w(v) = 0. What is v?
-6, -2, 2/7
Factor 3/7*c**2 - 528/7*c - 1068/7.
3*(c - 178)*(c + 2)/7
Suppose -4649*q**2 + 23630*q + 9284*q**2 - 4640*q**2 - 27918845 = 0. What is q?
2363
Let b(i) be the second derivative of i**5/30 - 7*i**4/12 + 4*i**3 - 27*i**2/2 - 167*i. Let k(r) be the first derivative of b(r). Factor k(n).
2*(n - 4)*(n - 3)
Let h = -12533/3 - -4179. Let g(t) be the third derivative of 0*t + 0 - 1/6*t**5 - h*t**3 + 19*t**2 - 2/3*t**4 - 1/60*t**6. Factor g(b).
-2*(b + 1)*(b + 2)**2
What is q in 27*q**2 + 237/2*q**3 - 60 + 33*q**4 - 114*q - 9/2*q**5 = 0?
-2, -1, -2/3, 1, 10
Let s(t) be the second derivative of -7/50*t**5 + 0*t**2 + 7/15*t**3 + 1/75*t**6 - 1/30*t**4 - 166*t + 1. Determine v so that s(v) = 0.
-1, 0, 1, 7
Let j(s) = s**2 - 21*s - 232. Let z be j(29). Suppose z = 4*h + 20, -2*h - 1 - 9 = -2*t. Factor -2/5*m**2 + t + 4/5*m.
-2*m*(m - 2)/5
Let k(f) be the third derivative of -f**6/240 + 7*f**5/120 + 49*f**4/8 + 66*f**3 + 31*f**2 - 2*f - 4. Suppose k(r) = 0. What is r?
-12, -3, 22
Determine k so that -1/6*k**3 - 257/2*k**2 - 49665/2*k - 148225/6 = 0.
-385, -1
Let w(r) be the third derivative of r**7/735 - 61*r**6/140 - 37*r**5/14 - 557*r**4/84 - 62*r**3/7 + 98*r**2 + 9*r. Factor w(b).
2*(b - 186)*(b + 1)**3/7
Let x = 1/14130 - -33911/14130. Suppose 16/5 - 22/5*h**3 - x*h**4 - 2/5*h**5 - 4/5*h**2 + 24/5*h = 0. Calculate h.
-2, -1, 1
Let p = 4639 - 4636. Let z(h) be the third derivative of -1/510*h**5 + 15*h**2 + 0 + 0*h + 1/204*h**4 + 2/51*h**p. Suppose z(g) = 0. What is g?
-1, 2
Suppose 486*c = 492*c - 288. Let g be c/22 + 0 + (-30)/165. Factor 2/3 - 2/9*x**3 - 14/9*x + 10/9*x**g.
-2*(x - 3)*(x - 1)**2/9
Let h(b) = -8*b**4 + 58*b**3 + 181*b**2 - 11*b - 11. Let j(a) = -2*a**4 + 14*a**3 + 45*a**2 - 3*a - 3. Let u(c) = 3*h(c) - 11*j(c). Factor u(s).
-2*s**2*(s - 12)*(s + 2)
Let l = 548902 - 12073109/22. Let n = l + -1362/11. Suppose 1/6 - n*f - 1/6*f**3 + 1/2*f**2 = 0. What is f?
1
Let n(f) = f. Let d(y) be the second derivative of -y**4/12 + y**3 + y. Let r be (24/(-1))/(-3) + -37 + 34. Let i(g) = r*d(g) - 35*n(g). Factor i(l).
-5*l*(l + 1)
Let x be ((-8)/42)/((-18)/27). Let l = 485/22 - 3131/154. Factor x*d + 2/7*d**2 - l.
2*(d - 2)*(d + 3)/7
Factor -5/6*l**5 + 0 + 0*l - 15/2*l**4 - 25/2*l**3 + 125/6*l**2.
-5*l**2*(l - 1)*(l + 5)**2/6
Let r(d) be the third derivative of -d**5/12 - 4105*d**4/4 - 10110615*d**3/2 - 130*d**2 + 1. Factor r(g).
-5*(g + 2463)**2
Solve 5*w**4 + 115*w**2 - 207*w - 161*w**3 + 77*w + 101*w**2 + 49*w**2 + 21*w**3 = 0.
0, 1, 26
Let i = -467 + 483. Let z be (-264)/(-198)*6/i. Find f such that 0*f + z*f**2 + 1/2*f**3 + 0 - 1/2*f**4 - 1/2*f**5 = 0.
-1, 0, 1
Let r(n) be the first derivative of -n**6 - 22*n**5/15 + 98*n**4/3 - 704*n**3/9 + 128*n**2/3 + 32*n + 864. Solve r(a) = 0.
-6, -2/9, 1, 2
Let y(j) be the third derivative of 31*j**5/45 - 437*j**4/36 + 7*j**3/3 + 1161*j**2 + 6. Factor y(p).
2*(p - 7)*(62*p - 3)/3
Let m be ((2/3)/((-2)/3))/1. Let v be (-20 - -21)*(-2 - m)*-5. Factor -36*g**3 - 4*g**2 - 3*g**5 + 8*g - 8*g**5 + 52*g**4 - 9*g**v.
-4*g*(g - 1)**3*(5*g + 2)
Suppose 6*m - m = -25. Let x = 7 + m. Solve 52 + 13*f + 48 - 48*f + 4*f**x - 5*f = 0.
5
Suppose 1840*r - 4/5*r**2 + 9204/5 = 0. What is r?
-1, 2301
Let f(p) be the third derivative of -p**6/60 + 13*p**5/10 - 133*p**4