36 + 79*u + 203. Let x(d) be the first derivative of r(d). Factor x(v).
-v**2*(v - 1)**2*(v + 10)/6
Let k(y) be the first derivative of y**6/30 + 2*y**5/25 - 13*y**4/20 + 2*y**3/3 + 598. Factor k(g).
g**2*(g - 2)*(g - 1)*(g + 5)/5
Suppose 173 - 173 = -14*a. Let k(u) be the second derivative of 13*u - 2/5*u**3 + 0 - 33/100*u**5 + 3/5*u**4 + 3/50*u**6 + a*u**2. What is v in k(v) = 0?
0, 2/3, 1, 2
Let q(o) = -52*o**2 + 947*o + 1245. Let l(k) = 24*k**2 - 474*k - 622. Let c(s) = 5*l(s) + 2*q(s). Factor c(t).
4*(t - 31)*(4*t + 5)
Suppose 0 = -912*t + 913*t - 5. Let q(o) be the first derivative of -8 + 5/2*o**4 + 0*o + 5*o**3 + 0*o**2 - o**t. Factor q(g).
-5*g**2*(g - 3)*(g + 1)
Let k = -160406/7 + 22916. Factor -16/7*b**3 - k*b**4 - 8/7*b**2 + 0*b + 0.
-2*b**2*(b + 2)*(3*b + 2)/7
Let c = -400 - -408. Let k be (2236/273 - c)/(4/14). Determine g, given that 1/6*g**4 + 0 + 0*g + k*g**2 - 2/3*g**3 = 0.
0, 2
Let a(x) be the first derivative of 0*x**4 + 0*x**2 - 14*x - 5 - 1/80*x**5 + 0*x**3 + 1/120*x**6. Let s(o) be the first derivative of a(o). Factor s(n).
n**3*(n - 1)/4
What is v in 33330*v**2 - 33327*v**2 - 4837*v - 1211*v + 2913616 + 134576 = 0?
1008
Let n = -663 + 675. Find s, given that -n*s**2 + 22*s**3 - 1 - 12*s**4 - 5003*s + 5003*s + 2*s**5 + 1 = 0.
0, 1, 2, 3
Find m, given that -4124/9*m**3 + 16432/9*m - 6136/9*m**2 + 2048/9*m**4 - 8224/9 + 4/9*m**5 = 0.
-514, -2, 1, 2
Let m(r) be the second derivative of r**7/105 + 442*r**6/75 - 666*r**5/25 + 667*r**4/15 - 89*r**3/3 - 1976*r. What is y in m(y) = 0?
-445, 0, 1
Let m(o) be the second derivative of -8*o**2 + 1/52*o**4 + 1/390*o**5 + 2/39*o**3 + 5*o + 0. Let r(u) be the first derivative of m(u). Factor r(v).
2*(v + 1)*(v + 2)/13
Let c(u) be the third derivative of -u**5/180 + 403*u**4/72 - 67*u**3/3 - 1701*u**2. Factor c(i).
-(i - 402)*(i - 1)/3
Let p(v) be the first derivative of -v**5/30 + v**4/3 + 4*v**3 - 2*v**2 + 42. Let i(k) be the second derivative of p(k). Let i(l) = 0. Calculate l.
-2, 6
Let x be 6 - (51/9)/((-9)/(-702)). Let m = 441 + x. Let -522/11*g**3 - 24/11*g - 210/11*g**m + 0 + 564/11*g**4 + 192/11*g**2 = 0. Calculate g.
0, 2/7, 2/5, 1
Suppose -96*a - 4884 + 14520 = -23*a. Let 121 - a*q + 45/4*q**2 - 1/4*q**3 = 0. Calculate q.
1, 22
Suppose -3 = -2*z + 3*h, -5*z = -8*h + 11*h - 18. Solve -11*k**4 - 16*k**4 - 82*k**2 + 28*k + 24*k**4 + 4*k + 53*k**z = 0.
0, 2/3, 1, 16
Let s = -511 + 366. Let a be 3/(3/(-2)) + 151 + s. Solve 0*v - 4/9*v**3 + 0 - 2/9*v**a + 0*v**2 = 0 for v.
-2, 0
Suppose 2043 = 4*n - n. Factor -677*z**2 - n*z**2 - 15*z + 1355*z**2.
-3*z*(z + 5)
Factor 5/7*a**2 + 296/7*a + 12 - a**3.
-(a - 7)*(a + 6)*(7*a + 2)/7
Suppose -5*l + 555 = -r, 5*l - 15*r - 570 = -11*r. Let n = l + -108. Find f such that 4/9*f**n - 4/9 + 2/9*f**3 - 2/9*f = 0.
-2, -1, 1
Let q(g) = g**3 + 25*g**2 - 53*g + 32. Let t be q(-27). Let i be (-18)/(-4) + -131 + 133. Solve -h**2 + 0 + i*h**t - 14*h**4 + 17/2*h**3 + 0*h = 0 for h.
0, 2/13, 1
Let v be 6*((-8)/(-6))/4. Suppose 5*o = 2*q + o - 4, -o = -v*q + 7. Factor -f**3 + 2*f**2 - 8*f**4 - 6*f**q + 13*f**4.
-f**2*(f - 1)*(f + 2)
Suppose -s = -19 + 7. Let 3*z**2 + 49 + s*z - 80 - 72*z - 32 = 0. What is z?
-1, 21
Factor 528/5*a - 1/5*a**2 + 0.
-a*(a - 528)/5
Let j(g) = -g**4 - g**3 - 2*g**2 - g. Let r(d) = 0*d**3 + 6*d + 2087*d**4 + 10*d**2 - 2085*d**4 + 2*d**3. Let t(y) = -4*j(y) - r(y). Find o such that t(o) = 0.
-1, 0, 1
Let k(b) = -11*b + 160. Let z be k(14). Let c be ((-12)/3 - -6) + -5 + z. Factor 36/5*n**c + 16/5*n**2 + 11/5*n**4 + 1/5*n**5 + 0 - 64/5*n.
n*(n - 1)*(n + 4)**3/5
Determine h, given that 2/9*h**2 + 568/9*h - 1144/9 = 0.
-286, 2
Let 1/5*g**3 + 11/5*g**2 + 0 - 26/5*g = 0. Calculate g.
-13, 0, 2
Suppose -2*g = 4*l - 6*g, 4*l = g + 6. Suppose -20*u - 52*u**l + 66*u**3 - 28*u - 70*u**3 = 0. What is u?
-12, -1, 0
Suppose -3*v + 2*z = -5*v + 2, 3*v - 3*z = 21. Solve -6918 + 40*w**3 - 5*w**v + 6918 = 0.
0, 8
Let o(x) be the second derivative of 2*x**6/75 + x**5/5 - 44*x**4/15 + 8*x**3 - 4236*x. Determine h, given that o(h) = 0.
-10, 0, 2, 3
Let -28*q + 60*q**2 + 52*q**3 - 56 - 14*q - 4*q**4 + 30*q - 40*q = 0. What is q?
-1, 1, 14
Let k(x) = 2*x**2 + 15*x - 11. Let m be k(-12). Find d, given that -2*d**2 + m*d**3 + 8 + 0*d + 8*d - 99*d**3 = 0.
-2, -1, 2
Suppose -12*v - 7 + 31 = 0. Suppose 0 = -v*r + 12 - 2. Factor 1/3*p**3 + r*p**2 + 25*p + 125/3.
(p + 5)**3/3
Let p be 11/11 - (-11 - 0). Suppose -9*k - p = -13*k. Factor -u**4 - k*u**2 + 6*u**3 - 12*u**3 + 0*u**4 + 10*u**4.
3*u**2*(u - 1)*(3*u + 1)
Suppose 50/3 - 23/3*h - 1/3*h**2 = 0. Calculate h.
-25, 2
Let j(w) be the third derivative of w + 0*w**3 - 6/11*w**4 - 29/110*w**5 + 0 + 1/55*w**6 + 161*w**2. Factor j(y).
6*y*(y - 8)*(4*y + 3)/11
Suppose -340*s + 138 = -271*s. Let p(c) be the third derivative of 17*c**s + 0*c**4 + 0*c - 1/40*c**6 - 1/10*c**5 + 1/70*c**7 + 0*c**3 + 0. Factor p(x).
3*x**2*(x - 2)*(x + 1)
Factor 44/3*u**2 - 43/3*u + 0 - 1/3*u**3.
-u*(u - 43)*(u - 1)/3
Let r(x) be the third derivative of -x**7/3360 - 13*x**6/1440 - 11*x**5/240 + 2*x**3/3 - 3*x**2 - 8. Let c(s) be the first derivative of r(s). Factor c(j).
-j*(j + 2)*(j + 11)/4
Let d(f) be the third derivative of -29*f**2 + 0*f + 1/24*f**5 + 1/360*f**6 + 0*f**4 - 14/3*f**3 + 0. Let i(c) be the first derivative of d(c). Factor i(m).
m*(m + 5)
Factor 0 - 240*a + 520/3*a**2 + 5/3*a**4 + 65*a**3.
5*a*(a - 1)*(a + 4)*(a + 36)/3
Let h(c) = c**4 + c**3 - 3*c. Let t(d) = 3*d**4 - 14*d**3 + 60*d**2 - 74*d + 21. Let k(o) = 4*h(o) - t(o). Suppose k(y) = 0. What is y?
-21, 1
Determine r so that -12240*r + 90*r**3 + 1/3*r**4 + 17953/3*r**2 + 18496/3 = 0.
-136, 1
Let a(h) be the first derivative of -h**6/14 + 1527*h**5/35 + 765*h**4/14 + 3359. Find i such that a(i) = 0.
-1, 0, 510
Factor -4/9*p**3 + 0*p - 68*p**2 + 0.
-4*p**2*(p + 153)/9
Let a(j) be the third derivative of -j**7/1050 - 31*j**6/600 + 33*j**5/100 - 101*j**4/120 + 17*j**3/15 - 4206*j**2. Suppose a(c) = 0. Calculate c.
-34, 1
Let m = -13 + 18. What is j in -8*j**5 - 365*j**3 + 369*j**3 + 8*j**4 + 12*j**m = 0?
-1, 0
Let j(w) = 7*w - 32. Suppose 11*y = -25*y + 180. Let a be j(y). Let 10/13*i + 14/13*i**a + 2/13*i**4 + 0 + 22/13*i**2 = 0. What is i?
-5, -1, 0
Suppose 2/9*o**2 - 4/3 + 2/9*o = 0. Calculate o.
-3, 2
Let -55209/8*r + 57121/2 - 1/8*r**3 - 237/4*r**2 = 0. What is r?
-239, 4
Let r(w) be the third derivative of 16*w**7/525 - 317*w**6/300 - 2*w**5/5 + 3*w**2 - 39*w - 1. Let r(b) = 0. Calculate b.
-3/16, 0, 20
Let o(i) be the second derivative of i**4/48 + 235*i**3/6 + 55225*i**2/2 - 3496*i. Factor o(u).
(u + 470)**2/4
Let q(x) be the first derivative of 52/3*x + 1/9*x**3 + 26 - 14/3*x**2. Factor q(b).
(b - 26)*(b - 2)/3
Suppose -777*h + 4674 - 1518 = 1305*h - 504*h. Factor -46/5*l - 2/5*l**h - 44/5.
-2*(l + 1)*(l + 22)/5
Let i = -399426 + 399426. Factor i - 2/3*n**3 - 200/3*n + 40/3*n**2.
-2*n*(n - 10)**2/3
Solve 20449 + 1/4*g**2 + 143*g = 0 for g.
-286
Factor -116/3 + 292/3*r - 5/3*r**2.
-(r - 58)*(5*r - 2)/3
Let s = 186866 - 186862. Let -116/9*c - 32/9 + 14/9*c**s + 2*c**2 + 116/9*c**3 = 0. Calculate c.
-8, -1, -2/7, 1
Let b(i) = -30*i**2 + 1310*i + 1140. Let o(z) = -5*z**2 + 217*z + 190. Let j(l) = 4*b(l) - 25*o(l). Factor j(f).
5*(f - 38)*(f + 1)
Solve -105/2*i**2 + 0 + 0*i + 141/2*i**3 + 3/2*i**5 - 39/2*i**4 = 0 for i.
0, 1, 5, 7
Let t(b) be the first derivative of -b**5 + 32*b**4 - 403*b**3/3 + 74*b**2 + 132*b - 5289. What is g in t(g) = 0?
-2/5, 1, 3, 22
Let y(k) be the first derivative of -k**3/3 + 43*k**2/2 - 252*k - 19. Find r, given that y(r) = 0.
7, 36
Suppose -2*x = 5*f - 41, f + 4 + 15 = 3*x. Let d(t) be the second derivative of 0*t**2 - 3/32*t**4 + 0 - 1/8*t**3 - 3/160*t**f - 29*t. Factor d(k).
-3*k*(k + 1)*(k + 2)/8
Let k(f) be the third derivative of 1/8*f**5 - 2*f**2 + 28 - 9*f**3 - 3/8*f**4 + 0*f - 1/160*f**6. Factor k(x).
-3*(x - 6)**2*(x + 2)/4
Let y(j) be the first derivative of -j**8/6720 + j**7/480 - j**6/96 + 3*j**5/160 - 82*j**3/3 - 39. Let w(i) be the third derivative of y(i). Factor w(x).
-x*(x - 3)**2*(x - 1)/4
Let u = -175620 + 175622. Find m such that 9/4 - 19/8*m + 1/8*m**u = 0.
1, 18
Let n be (((-240)/(-50))/(-6))/(3/(-5)). Suppose -1/3*j**4 + 4/3*j**3 - n*j + 4/3 - j**2 = 0. Calculate j.
-1, 1, 2
Let b = 1/11658 + -35263/33691