 t(v).
2*v*(v - 1)**2*(2*v - 1)/15
Find y, given that -y**2 + 16*y - 7816 + 3873 + 3879 = 0.
8
Factor 2/5*k**2 + 548*k + 187690.
2*(k + 685)**2/5
Let p(l) be the second derivative of -3*l**4/8 + l**3/12 + 5*l**2/2 + 47*l + 36. Let p(k) = 0. What is k?
-1, 10/9
Factor -110 - 604*m**3 + 40 + 22*m**2 + 1206*m**3 - 46*m - 604*m**3.
-2*(m - 7)*(m - 5)*(m + 1)
Let b be ((-48)/(-9))/((-1 - 0)*((-28)/(-8) + -4)). Find g, given that b + 80/3*g + 4*g**3 + 56/3*g**2 = 0.
-2, -2/3
Let o(v) be the third derivative of v**6/160 + 41*v**5/80 + 399*v**4/32 - 441*v**3/8 + 1184*v**2. Factor o(q).
3*(q - 1)*(q + 21)**2/4
Let x be (-1)/(4/2)*-20. Let f be (-42)/(-15) - (-2)/x. Factor l**2 - f*l**2 - 5*l + l**2 + 3*l.
-l*(l + 2)
Factor 0 - 2096/5*c + 4/5*c**2.
4*c*(c - 524)/5
Let f(b) = b + 16. Let r be f(-4). Let a be (2 + -65)/(-3) - (1 + -5). Suppose -y**2 - 9*y + a*y + r + 5*y**2 = 0. Calculate y.
-3, -1
Suppose -3*u - 27 = -3*n, 0 = -5*n - 33*u + 29*u + 27. Let v be (n/5 - 1)*(-445)/(-623). Factor 50/7 - 20/7*f + v*f**2.
2*(f - 5)**2/7
Let k = 144701/5 + -28940. Let g(q) be the second derivative of k*q**2 + 1/30*q**4 - 28*q - 2/15*q**3 + 0. Factor g(o).
2*(o - 1)**2/5
Let m(y) be the third derivative of 1/120*y**5 + 2*y**2 + 1/6*y**3 + 46 + 1/16*y**4 + 0*y. Factor m(i).
(i + 1)*(i + 2)/2
Let f be (24/(-5))/(7338/(-6115)). Solve 12/5 - 3/5*r**f - 37/5*r + 37/5*r**3 - 9/5*r**2 = 0 for r.
-1, 1/3, 1, 12
Solve 0 + 1/2*i**5 + 9/2*i**4 - 102*i**2 - 72*i - 26*i**3 = 0.
-12, -2, -1, 0, 6
Let v be (60/(-42))/((-75)/6)*40. Factor -8/7*t - 4/7*t**2 + v.
-4*(t - 2)*(t + 4)/7
Let d = -39416 + 39418. Determine q, given that -16/13 + 4/13*q + 2/13*q**d = 0.
-4, 2
Let c be (-2 - 84/(-70))/(3 + 244/(-80)). Let k(i) be the second derivative of 1/4*i**4 + 3/2*i**2 + c*i + 0 + i**3. Suppose k(d) = 0. Calculate d.
-1
Suppose -41970 = -8*h + 614. Let f - 6*f + 5320*f**4 - f - h*f**4 + 9*f**2 = 0. What is f?
-2, 0, 1
Let j be 19/190*-2*0. Let q(g) be the second derivative of -3/100*g**5 + 16*g + 1/10*g**3 + 1/20*g**4 - 3/10*g**2 + j. Suppose q(h) = 0. What is h?
-1, 1
Let h = -314 + 314. Suppose 4*j = 5*i + 2*j + 4, h = -5*i - j + 2. Suppose -2/5 + 0*c - 2/5*c**4 + 4/5*c**2 + i*c**3 = 0. Calculate c.
-1, 1
Find i, given that -600*i**2 + 384*i + 639*i**3 + 120*i**4 + 3*i**5 + 160*i + 1530*i**2 - 136*i = 0.
-34, -4, -1, 0
Let a(n) be the first derivative of 6*n**5/85 - 409*n**4/34 - 548*n**3/51 - 179. Solve a(r) = 0.
-2/3, 0, 137
Let l be 75/(-10)*(-8)/(-2). Let s = 35 + l. Factor c**s + 205*c**2 - 4*c + 6*c**3 + 4*c**4 - 209*c**2 - 3*c**3.
c*(c - 1)*(c + 1)*(c + 2)**2
Let p(n) be the first derivative of -113/18*n**3 + 17/8*n**4 + 39 + 2/3*n + 5/3*n**2. Determine s, given that p(s) = 0.
-2/17, 1/3, 2
Let d be (60/35 - 80/112)/3. Determine t so that -1/3*t**2 - d*t**3 + 1/3*t + 0 + 1/3*t**4 = 0.
-1, 0, 1
Let -3/2*d**2 - 39*d - 75/2 = 0. Calculate d.
-25, -1
Let c(q) = 70*q - 910. Let p be c(13). Let l(s) be the second derivative of -13*s + 0*s**3 + 0 + 1/70*s**5 + 1/105*s**6 + p*s**2 + 0*s**4. Factor l(w).
2*w**3*(w + 1)/7
Let q(y) = -4 - 4*y - 7 + 0 + 4. Let c be q(-3). Solve 0*p - 2*p**4 - p**c + p**3 + 414*p**2 - 412*p**2 + 0*p = 0 for p.
-2, -1, 0, 1
Determine w, given that -18 - 1/10*w**2 - 63/10*w = 0.
-60, -3
Let f(r) be the first derivative of 2*r**6/3 - 6*r**4 + 32*r**3/3 - 6*r**2 + 1331. Suppose f(q) = 0. Calculate q.
-3, 0, 1
Let q(u) be the third derivative of u**6/600 + 11*u**5/200 + u**4/4 + 2*u**3/3 + 51*u**2. Let v(o) be the first derivative of q(o). Factor v(p).
3*(p + 1)*(p + 10)/5
Let f = -203 + 209. Suppose -3*u**2 - f*u**4 - 38777 + 38777 - 6*u + 15*u**3 = 0. Calculate u.
-1/2, 0, 1, 2
Suppose 4*u = -42 + 14. Let t be (-2)/u*(-1 - -8). Solve -w + 5*w**2 + t*w**5 - 8 + 3*w**4 + w**4 - w**2 + 15*w - 16*w**3 = 0.
-4, -1, 1
Let i = 813 + -810. Let h(a) = -a**3 + 5*a**2 - a - 15. Let n be h(i). Let n*v + 26/5*v**4 + 0*v**3 + 24/5*v**5 + 0 - 2/5*v**2 = 0. Calculate v.
-1, -1/3, 0, 1/4
Let u = 570 - 523. Let x(w) = -w - 8. Let a be x(-11). Solve -72*i + 1 + 52*i**a + 3*i**2 + 3*i**4 + u - 34*i**3 = 0 for i.
-4, 1
Determine r, given that 2703*r**3 - 2601*r**2 + 293*r**5 - 166*r**5 - 126*r**5 - 103*r**4 = 0.
0, 1, 51
Let w(j) be the second derivative of -39*j + 0*j**2 + 0 + 1/39*j**4 - 1/39*j**3. Find u, given that w(u) = 0.
0, 1/2
Let k(p) be the third derivative of -p**5/30 - 191*p**4/12 - 126*p**3 - p**2 - 98. Let k(z) = 0. Calculate z.
-189, -2
Let n = -232 - -249. Suppose n*a - 15 = 14*a. Solve -3*v**3 - 24/7 + 36/7*v + 6/7*v**2 + 3/7*v**a + 0*v**4 = 0 for v.
-2, 1, 2
Let c = -484 + 486. Factor 45*n - 4 + 27*n**c + 68 - 22*n**2 - 4*n**3 + 51*n**2 + 79*n.
-4*(n - 16)*(n + 1)**2
Suppose 3*c = 15 - 6, v - c = 0. Let d(h) = -h**3 + 1. Let g(x) = -7*x**3 + 17*x**2 - 9*x - 1. Let r(l) = v*g(l) - 12*d(l). Let r(u) = 0. What is u?
-1/3, 1, 5
Let b(n) = -n**3 - 26*n**2 - 136*n - 93. Let o be b(-6). Let c(j) be the second derivative of 1/9*j**4 - 1/9*j**5 + 26*j + 0 + 4/27*j**o + 0*j**2. Factor c(p).
-4*p*(p - 1)*(5*p + 2)/9
Let m(a) be the first derivative of -a**5/10 + 5*a**4/2 - 22*a**3 + 88*a**2 - 160*a + 312. Factor m(b).
-(b - 10)*(b - 4)**2*(b - 2)/2
Let h be 23/(-345) - (-1095)/675. Factor -h*p**2 + 0 + 8/3*p.
-2*p*(7*p - 12)/9
Let r(d) = 1016*d**2 + 1021*d + 10. Let t(s) = -504*s**2 - 510*s - 8. Let i(w) = 2*r(w) + 5*t(w). Suppose i(p) = 0. What is p?
-1, -5/122
Let a be (-1)/(-4) - (546/8 - 1). Let l = a - -68. Factor 1301*p - 3 - l - 1314*p - 3*p**2.
-(p + 4)*(3*p + 1)
Let d(p) be the third derivative of -5*p**5/108 + 245*p**4/108 - 2401*p**3/54 + 668*p**2. Factor d(f).
-(5*f - 49)**2/9
Let w(j) = j**3 + 4*j**2 - 2*j - 10. Let o be 12/20 + (1 - (-18)/(-5)). Let a be w(o). Let m + 144 + 37*m + m**2 + 3*m**a + 10*m = 0. What is m?
-6
Let k be 546/18 - 11 - 14. Let s(q) be the first derivative of k*q + 8/3*q**2 + 4/9*q**3 + 3. Determine v, given that s(v) = 0.
-2
Let n(o) be the third derivative of o**8/672 + 11*o**7/60 - 79*o**6/80 + 239*o**5/120 - 5*o**4/3 - 33*o**2 + 16*o. Factor n(v).
v*(v - 1)**3*(v + 80)/2
Let j(d) be the second derivative of 2*d**6/15 - 79*d**5/5 - d**4/3 + 158*d**3/3 - 1587*d. Factor j(s).
4*s*(s - 79)*(s - 1)*(s + 1)
Suppose -5*y + 47 = -g, -2*y + 26 = -12*g + 14*g. Find d, given that 10/7*d**2 - 8/7 - 2/7*d**4 + 0*d**g + 0*d = 0.
-2, -1, 1, 2
Let b = -979/420 - -7/3. Let z(n) be the third derivative of -b*n**7 + 1/80*n**6 + 0 + 1/24*n**5 + 0*n**3 - 16*n**2 - 1/672*n**8 + 0*n + 1/24*n**4. Factor z(j).
-j*(j - 2)*(j + 1)**3/2
Let w(f) be the third derivative of f**6/300 + 19*f**5/25 + 255*f**4/4 + 10404*f**3/5 - 2678*f**2. Solve w(p) = 0 for p.
-51, -12
Let b = -17215 + 17215. Let q(p) be the first derivative of b*p - 1/15*p**6 - 6/25*p**5 + 0*p**2 + 0*p**4 + 8/15*p**3 + 28. Factor q(s).
-2*s**2*(s - 1)*(s + 2)**2/5
Let c(d) = d**2 - 29*d - 226. Let n be c(36). Suppose -16*j = n*j. Let 2/3*v**2 + 1/6*v**5 + j + 0*v - 2/3*v**4 - 1/6*v**3 = 0. Calculate v.
-1, 0, 1, 4
Solve -1/4*w**4 - 36 + 51*w - 25*w**2 + 19/4*w**3 = 0 for w.
2, 3, 12
Let h(q) be the first derivative of q**7/70 - q**5/20 + 5*q**2/2 + 11*q + 82. Let p(l) be the second derivative of h(l). Find x, given that p(x) = 0.
-1, 0, 1
Let o(l) = 2*l**3 + l**2 - l + 1. Let b(t) = -10*t**3 - 168*t**2 + 4*t - 4. Let s(g) = b(g) + 4*o(g). Factor s(h).
-2*h**2*(h + 82)
Let 15*h**4 - 6*h - 12217*h**3 - 81*h**2 - 58 + 178 + 12187*h**3 - 18*h**4 = 0. Calculate h.
-5, -4, -2, 1
Let s(x) = -17*x**4 - 14*x**3 + 15*x**2 + 4*x - 26. Let q(a) = -3*a**4 - a**3 - 1. Let o(z) = -6*q(z) + s(z). Factor o(v).
(v - 5)*(v - 2)**2*(v + 1)
Let l(f) be the third derivative of 0 - 7/300*f**5 - 1/6*f**3 + 11/120*f**4 + 0*f - 15*f**2 + 1/600*f**6. Suppose l(z) = 0. What is z?
1, 5
Let c(k) be the first derivative of -9*k**5/40 - 669*k**4/8 - 50173*k**3/6 - 16502*k**2 - 10952*k + 1032. Factor c(n).
-(n + 148)**2*(3*n + 2)**2/8
Let a = 67740 + -345787/5. Let j = a + 1419. Factor 2/5*x**2 - j + 6/5*x.
2*(x - 1)*(x + 4)/5
Let n be ((-1690)/(-3))/2 + 0*36/504. Let i(b) be the first derivative of n*b**3 + 11 + 130*b**2 + 20*b. What is c in i(c) = 0?
-2/13
Let v(p) = -4*p**3 + 4360*p**2 - 3162450*p + 765314358. Let r(x) = x**3 - 2*x**2 - 3*x - 3. Let h(o) = -2*r(o) - v(o). Solve h(j) = 0.
726
Suppose 11 = -5*j - 14. Let