ctor -1/2*w**4 + 1/6*w**5 + j*w + 0 + 0*w**2 + 1/3*w**3.
w**3*(w - 2)*(w - 1)/6
Let p(r) be the first derivative of r**4/12 + 251*r**3/9 + 15875*r**2/6 + 15625*r/3 + 1052. Suppose p(l) = 0. Calculate l.
-125, -1
Suppose -51*v - 68*v - 51*v = -122*v - 144. Factor 0 + 1/7*r**4 - 10/7*r - 13/7*r**2 - 2/7*r**v.
r*(r - 5)*(r + 1)*(r + 2)/7
Suppose 44*m = -m - 34*m + 15*m. Determine p so that m - 8/9*p**2 - 4/9*p**5 + 0*p**3 + 4/9*p + 8/9*p**4 = 0.
-1, 0, 1
Factor 0*w**2 + 0 - 3/5*w**5 + 0*w + 72/5*w**4 - 429/5*w**3.
-3*w**3*(w - 13)*(w - 11)/5
Factor 1/2*h**3 + 53/2*h - 7*h**2 - 20.
(h - 8)*(h - 5)*(h - 1)/2
Let k(p) = 3*p - 73. Let m be k(30). Factor -3*n**2 + n**4 + m*n**4 - n**5 + 4*n**5 - 3*n**3 - 15*n**2.
3*n**2*(n - 1)*(n + 1)*(n + 6)
Suppose 2*f + 7 - 15 = 0. Suppose -58*w = -56*w - f. Find v such that -2/7*v**4 - 1/7*v**5 + 0*v + 0*v**w + 0*v**3 + 0 = 0.
-2, 0
Let i(d) be the first derivative of -d**4/4 - 2*d**3 + 144*d**2 + 2592*d + 945. Solve i(k) = 0 for k.
-12, 18
Factor 3672/7*a**2 + 2/7*a**5 + 18*a**4 + 0*a + 0 + 1296/7*a**3.
2*a**2*(a + 6)**2*(a + 51)/7
Let t(i) be the second derivative of -i**7/21 - 7*i**6/5 + 12*i**5/5 + 22*i**4/3 - 6*i - 12. Determine s so that t(s) = 0.
-22, -1, 0, 2
Let y(g) be the first derivative of -g**3/5 + 9*g**2/2 + 102*g/5 + 947. Factor y(w).
-3*(w - 17)*(w + 2)/5
Let u(y) be the first derivative of 1/3*y**3 - 15 + 7/4*y**2 - 2*y. Suppose u(s) = 0. Calculate s.
-4, 1/2
Let i = 1377005/19 + -72447. Factor -66/19*m**2 - 2/19*m**3 - 576/19*m - i.
-2*(m + 1)*(m + 16)**2/19
Let a = 5722/9 + -160207/252. Let t(s) be the third derivative of 0*s**5 - 10*s**2 + 0 + 0*s + a*s**4 + 2/21*s**3 - 1/420*s**6. Factor t(m).
-2*(m - 2)*(m + 1)**2/7
Suppose 631*q = 588*q. Factor 1/2*x**5 + 0*x**3 + q + 0*x**2 - 2*x**4 + 0*x.
x**4*(x - 4)/2
Let d(h) = h**2 + 2*h - 1. Let m be d(-2). Let i be (44/10)/((-4)/5 - m). Factor s - 2*s**3 - i*s**2 + 34*s**2 - 19*s.
-2*s*(s - 3)**2
Factor -2545/6*t + 1/6*t**2 + 0.
t*(t - 2545)/6
Let u(d) = -9*d**3 - 58*d**2 + 1185*d - 2070. Let h(q) = -200*q**3 - 1275*q**2 + 26075*q - 45540. Let v(g) = -2*h(g) + 45*u(g). Solve v(y) = 0.
-23, 2, 9
Let z = 840618555 + -2756388211259/3279. Let y = 6/1093 + z. Determine o, given that -y - 6*o - 2/3*o**2 = 0.
-7, -2
Let y(z) = -z**3 - 63*z**2 + 84*z + 832. Let p(k) = 5*k**3 + 380*k**2 - 505*k - 4980. Let r(i) = -4*p(i) - 25*y(i). Let r(a) = 0. Calculate a.
-11, -4, 4
Factor 19800 + 2/11*y**2 + 120*y.
2*(y + 330)**2/11
Suppose -q = 3, 5 + 19 = 2*o + 2*q. Find y such that -4 - o - 24*y + 2 - 2*y**2 - 5 = 0.
-11, -1
Let p(h) be the third derivative of -1/66*h**5 - 1/44*h**4 + 0 + 3/11*h**3 + 26*h**2 - 1/660*h**6 + 0*h. Factor p(u).
-2*(u - 1)*(u + 3)**2/11
What is y in 1/6*y**4 - 324*y + 90*y**2 + 0 - 7*y**3 = 0?
0, 6, 18
Suppose -34 = -2*m - o, 0 = -79*m + 74*m - 2*o + 85. Let k(j) be the second derivative of 4*j**2 + 0 - m*j + j**3 - 1/6*j**4. Factor k(f).
-2*(f - 4)*(f + 1)
Factor 2/3*g**2 + 52*g + 1014.
2*(g + 39)**2/3
Let o(x) = x**2 + x. Let p(u) = 9*u**2 + 45*u + 100. Let r = 70 - 75. Suppose -4*d = -d - 3. Let n(m) = d*p(m) + r*o(m). Let n(l) = 0. Calculate l.
-5
Let p be 2/32 + 152/(-384) + (-650)/(-30). Determine s, given that 1/3*s**2 + p - 16/3*s = 0.
8
Let t(m) = -m**3 - 27*m**2 - m - 26. Let w be t(-27). Let q be 7 - ((3 - 0) + w). Factor -1 + 8*i - 2*i**2 - 4 + 0*i - q.
-2*(i - 2)**2
Suppose -4*k + h = -81, -9*k + 12*k + 5*h - 32 = 0. Let i(d) be the second derivative of 3/2*d**3 + d**2 - 5/12*d**4 + 0 + k*d. Factor i(r).
-(r - 2)*(5*r + 1)
Let s(z) = z**4 + z**2 + z**5 + z**3 - 5*z**4 + 3*z**4. Let c(l) = 3*l**5 + 4*l**4 - 18*l**3 + 28*l**2 - 9*l. Let y(k) = c(k) - 4*s(k). Factor y(h).
-h*(h - 3)**2*(h - 1)**2
Let q(u) be the first derivative of -u**3/12 + 260*u**2 - 9161. Let q(d) = 0. What is d?
0, 2080
Let w be (-4)/(32/(-6) - 85/(-17)). Let y be ((-2)/3)/(w/(-57 + 21)). Factor 1/2*n**y + 15*n + 225/2.
(n + 15)**2/2
Let w(r) be the third derivative of -r**5/12 + 635*r**4/24 - 625*r**3/3 + 5020*r**2. Solve w(y) = 0.
2, 125
Determine x, given that -34/3*x - 146/15*x**2 + 0 + 2/15*x**4 + 26/15*x**3 = 0.
-17, -1, 0, 5
Factor 59*a**2 + 32/3*a**3 + 148/3 + 292/3*a - 1/3*a**4.
-(a - 37)*(a + 1)*(a + 2)**2/3
Let f(r) be the first derivative of -2*r**3/3 - 1476*r**2 - 1089288*r - 1777. Determine z, given that f(z) = 0.
-738
Let v(w) be the third derivative of -w**6/90 + 2*w**4/3 - 65*w**3/3 + 15*w**2. Let m(h) be the first derivative of v(h). Factor m(q).
-4*(q - 2)*(q + 2)
Let l be (-35 - -29) + 14 + (-56)/7. Solve 2/7*x**5 + l*x**2 - 22/7*x + 20/7*x**3 - 12/7 + 12/7*x**4 = 0.
-3, -2, -1, 1
Let o(c) be the third derivative of -c**8/1344 + c**7/280 + 31*c**6/480 + 13*c**5/48 + 9*c**4/16 + 2*c**3/3 - 19*c**2 - 17*c. Let o(u) = 0. What is u?
-2, -1, 8
Let g(a) = 12*a**2 + 48*a + 41. Let k(f) = -4*f**2 - 16*f - 14. Let u be (-224)/120 + (-2)/15. Let q = -6 + -1. Let s(y) = q*k(y) + u*g(y). Factor s(x).
4*(x + 2)**2
Suppose -5*y + 11 = -2*m, 4*y + 5 = 4*m + 3*y. Let -w**3 - 2*w**3 + 8 + 7 - 3 - 9*w**m = 0. What is w?
-2, 1
Let i be ((-4)/(-58))/((98/21)/(-7)). Let o = 23/58 - i. Solve -1/6 - 1/3*b + o*b**2 = 0 for b.
-1/3, 1
Let g(o) be the second derivative of -4*o**6/75 - 77*o**5/25 - 109*o**4/15 + 148*o**3/15 - 211*o. Solve g(l) = 0.
-37, -2, 0, 1/2
Find g such that 95976/5*g - 798768/5 + 213/5*g**2 - 3/5*g**4 - 186/5*g**3 = 0.
-43, 12
Let h(v) be the first derivative of -2*v**3 + 585*v**2/2 + 294*v + 810. Suppose h(g) = 0. Calculate g.
-1/2, 98
Let w(u) = -503*u + 9559. Let v be w(19). Suppose 0*k + 1/3*k**v + 7/6*k**4 + 0 + 3/2*k**3 = 0. Calculate k.
-1, -2/7, 0
Let 45*p**4 - 6*p**5 + 321*p**3 - 108*p**2 + 111*p - 152*p**3 - 208*p**3 - 3*p = 0. What is p?
-3/2, 0, 1, 2, 6
Let q(a) be the second derivative of a**6/2160 + a**5/144 - 3*a**3 - 54*a. Let t(h) be the second derivative of q(h). Factor t(z).
z*(z + 5)/6
Find u, given that 27*u**3 + 61*u**4 - 95*u**4 + 75*u**2 + 14 - 14 + 14*u = 0.
-1, -7/34, 0, 2
Suppose 4*v + 3*v - 30289 = 0. Factor 60835 + 5*x**3 + 3092*x - 1444*x + 1960*x + v*x + 345*x**2.
5*(x + 23)**3
Let z be 15 + (-16)/40*30. Let d(y) be the first derivative of -1/22*y**4 + 2/33*y**z + 0*y**2 + 0*y + 9. Suppose d(j) = 0. What is j?
0, 1
Let m be 0/(-2)*(2562 + -2551 - (12 - 4/2)). Solve 0 + 1/3*o**5 - 2/3*o**2 + 0*o**4 + m*o - o**3 = 0.
-1, 0, 2
Let q be (3/9)/(112/42). Let h(y) be the first derivative of 0*y - 41 + 0*y**4 + 0*y**3 - q*y**6 + 0*y**2 - 21/20*y**5. Factor h(j).
-3*j**4*(j + 7)/4
Let y(d) = -d**2 + 28*d - 80. Let p be y(23). Let b(s) = 6*s**2 - 17*s - 25. Let g(l) = l**2 - l. Let f(a) = p*g(a) - 5*b(a). Let f(j) = 0. What is j?
-5
Let j be 1/(4/40) + (69 - 75). Let w(i) be the first derivative of -3*i**2 - 2/3*i**3 - 2/15*i**5 - 28 + 5/6*i**j + 0*i. Factor w(d).
-2*d*(d - 3)**2*(d + 1)/3
Suppose -4*p**2 - 433691 + 433691 = 0. What is p?
0
Let z = 86 - 52. Let g = z + -31. Solve -2*v**g + 8 - 7 + v**2 - 3*v**2 + v**4 + v**5 + v = 0 for v.
-1, 1
Let o(q) be the first derivative of -q**5/150 - q**4 - 60*q**3 - 7*q**2/2 - 2*q - 126. Let n(k) be the second derivative of o(k). Solve n(a) = 0 for a.
-30
Let w(m) = 4 + 65*m**2 + 1 + 22*m**4 - 32*m**3 - 48*m**3 - 17*m**4. Let u(n) = -2*n**4 + 40*n**3 - 32*n**2 - 3. Let z(x) = -5*u(x) - 3*w(x). Factor z(v).
-5*v**2*(v - 7)*(v - 1)
Let q(r) be the first derivative of 2/25*r**5 + 17 + 1/10*r**4 - 1/15*r**3 + 0*r**2 - 2*r. Let w(y) be the first derivative of q(y). Find v such that w(v) = 0.
-1, 0, 1/4
Let n(x) be the second derivative of -3/2*x**2 + 1/3*x**3 + 1 - 29*x + 5/48*x**4 - 1/80*x**5. Find j such that n(j) = 0.
-2, 1, 6
Let i(v) be the second derivative of v**6/225 - v**4/45 + v**2/15 + 130*v + 1. Factor i(o).
2*(o - 1)**2*(o + 1)**2/15
Let x(n) be the second derivative of n**6/45 - 88*n**5/15 + 7909*n**4/18 - 4582*n**3/3 - 20184*n**2 - 11330*n. Suppose x(l) = 0. Calculate l.
-2, 4, 87
Factor 232/7 - 31/7*g**2 - 1/7*g**3 - 50/7*g.
-(g - 2)*(g + 4)*(g + 29)/7
What is d in 862*d + 3*d**3 - 450*d**2 + 246402 - d**3 + 17970*d + 4334*d = 0?
-9, 117
Suppose 484*g = -270 + 1011 + 227. Let p(c) be the second derivative of 0 + 32/9*c**g - 9*c - 16/27*c**3 + 1/27*c**4. Suppose p(v) = 0. What is v?
4
Let 142/13*p**3 - 942/13*p**2 - 6/13*p**4 + 700/13 + 1770/13*p = 0. Calculate 