 Factor u(w).
(w - 1)*(w + 125)/3
Let q be 150/3*((-15)/18)/((-105)/7). Solve q*v**2 + 1/9*v**3 - 169/9 + 143/9*v = 0.
-13, 1
Let t(v) be the second derivative of -4*v**6/15 - 33*v**5/10 - 2*v**4/3 + 11*v**3 + 8*v**2 + 118*v - 2. Find h such that t(h) = 0.
-8, -1, -1/4, 1
Suppose 5*a - 58*k = -56*k - 26, -3*a + 60 = 3*k. Suppose -11/2*m - 5 - 1/2*m**a = 0. What is m?
-10, -1
Let m be 24 + -33 + 30 + -18. Let d(n) be the second derivative of 2*n - 18*n**2 + 11/4*n**4 + 0 - 8*n**m. Factor d(c).
3*(c - 2)*(11*c + 6)
Let x(s) = 10*s**3 + s**2 + s - 2. Let p be x(1). Determine a, given that -5 + 82*a**4 + 6 + p*a - 86*a**4 - 5*a + 3*a**2 - 5*a**3 = 0.
-1, -1/4, 1
What is y in -3356/9*y - 2/9*y**2 - 1407842/9 = 0?
-839
Let m = 4662 + -4662. Let v = -572/5 - -115. Let m + 0*w**3 + 0*w**2 - v*w**4 + 0*w = 0. What is w?
0
Let t be (-3)/60 - 4026/(-1320). Suppose -7/2*l + 1 - l**2 + 7/2*l**t = 0. What is l?
-1, 2/7, 1
Let u(t) be the third derivative of 17*t**2 - 2*t - 1/15*t**5 + 1/6*t**4 - 1/40*t**6 + 0 - 1/336*t**8 + 2/105*t**7 + 0*t**3. Factor u(i).
-i*(i - 2)**2*(i - 1)*(i + 1)
Let c(a) be the first derivative of a**3/4 - 291*a**2/8 - 147*a/2 + 501. Factor c(f).
3*(f - 98)*(f + 1)/4
Let k = 203 + 405. Let p = k + -608. Factor -8/3*v - 2/3*v**2 + p.
-2*v*(v + 4)/3
Let i(d) be the first derivative of -d**6/15 - 1558*d**5/25 - 1553*d**4/5 - 9308*d**3/15 - 3101*d**2/5 - 310*d - 4315. Factor i(a).
-2*(a + 1)**4*(a + 775)/5
Let a be 19 - (-36 - 3000/(-56)). Solve 62/7*p + 2*p**4 - 12/7 + a*p**3 - 74/7*p**2 = 0.
-3, 2/7, 1
Let z(i) = -16*i**2 - 160*i + 168. Let j(y) = -21*y**2 - 159*y + 170. Let o(f) = -4*j(f) + 5*z(f). Solve o(p) = 0.
1, 40
Let p(o) be the third derivative of o**5/120 + 53*o**4/8 - o**2 + 1436*o. Factor p(m).
m*(m + 318)/2
What is t in 4237*t - 8000 + 8511*t - 3530*t - 6845*t**2 + 4779*t + 803*t = 0?
40/37
Let m(l) be the first derivative of 2/9*l**3 + 5/6*l**2 - 7/3*l + 152. Factor m(p).
(p - 1)*(2*p + 7)/3
Let t = -372 + 375. Find f, given that -3*f + 69*f**4 + 0*f**3 - 3*f**t - 99*f**2 - 13*f**2 - 15*f + 43*f**2 + 21*f**5 = 0.
-3, -1, -2/7, 0, 1
Let v(d) be the third derivative of -d**6/100 - 283*d**5/30 - 196*d**4/5 - 188*d**3/3 - 1257*d**2. What is t in v(t) = 0?
-470, -1, -2/3
Find m such that -6 + 3/2*m**3 - 13/2*m + 1/4*m**4 + 3/4*m**2 = 0.
-4, -3, -1, 2
Solve -99*p**3 - 879*p**4 - 583*p + 280*p**2 + 97 - 298*p**3 + 883*p**4 + 599*p**2 = 0.
1/4, 1, 97
Suppose -2*o - 74*v = -80*v + 16, 4 = -2*o + 3*v. Let y(w) be the second derivative of -5/12*w**o - 5/6*w**3 + 0*w**2 + 2*w + 0. Let y(c) = 0. Calculate c.
-1, 0
Let o(i) = 61*i**2 + 1412*i + 3. Let h(g) = -283*g**2 - 7061*g - 14. Let n(j) = 3*h(j) + 14*o(j). Determine m so that n(m) = 0.
0, 283
Let d(n) be the second derivative of -1/510*n**5 + 0 - 1/51*n**4 - 1/17*n**3 + 8*n**2 - 13*n. Let j(k) be the first derivative of d(k). Factor j(y).
-2*(y + 1)*(y + 3)/17
Let z = -175260 + 1927866/11. Factor -4/11 + z*h - 2/11*h**2.
-2*(h - 2)*(h - 1)/11
Let p(u) be the first derivative of -17/8*u**2 + 1/16*u**4 + 7/12*u**3 - 109 + 9/4*u. Factor p(s).
(s - 1)**2*(s + 9)/4
Let l = 3430 - 6857/2. Let i(p) be the first derivative of -7/2*p**3 + 9/8*p**4 + 8 + 0*p + l*p**2 - 5/4*p**6 + 21/10*p**5. Find t, given that i(t) = 0.
-1, 0, 2/5, 1
Suppose -21/5*y**4 - 3153/5*y**2 + 270 - 129*y**3 - 3771/5*y = 0. What is y?
-25, -3, 2/7
Let w = -226 + 228. Factor -w*i**2 + i**2 + 2 - 2*i**3 + 3*i**2 + 10*i + 4.
-2*(i - 3)*(i + 1)**2
Let k = -658 + 661. Let v(j) be the second derivative of 1/30*j**5 - 1/36*j**4 + 0*j**k - 16*j - 1/90*j**6 + 0*j**2 + 0. Factor v(d).
-d**2*(d - 1)**2/3
Let r(p) = -5*p - 315 + 0*p**3 + 283 + 20*p + 35*p**2 + 2*p**3. Let g be r(-17). Suppose 133/4*h**g - 49/4*h + 3/4*h**4 + 0 + 41/4*h**3 = 0. Calculate h.
-7, 0, 1/3
Suppose 106*z - 101*z - 20 = 0. Suppose -5*y = 4*u - 30, y + 4*y - 2*u = 0. Factor -19*s**3 - z*s**2 + 28*s**3 - 9*s**4 + 3*s**5 + s**y.
3*s**2*(s - 1)**3
Let f(b) be the third derivative of 1/60*b**5 + b**2 + 15 + 3/8*b**4 + 10/3*b**3 + 0*b. Suppose f(x) = 0. Calculate x.
-5, -4
Let q(b) be the second derivative of -b**7/168 - 43*b**6/24 + 657*b**5/40 - 661*b**4/12 + 221*b**3/3 + 16*b + 35. Factor q(v).
-v*(v - 2)**3*(v + 221)/4
Let w(o) be the first derivative of o**6/6 + 19*o**5 + 1055*o**4/2 - 6910*o**3/3 + 7105*o**2/2 - 2401*o + 566. Solve w(q) = 0 for q.
-49, 1
Let i be 241500/1995 + -121 - 92/(-57). Factor -40/3*s - i*s**2 - 20.
-5*(s + 2)*(s + 6)/3
Let u(p) be the first derivative of -p**6/27 + 52*p**5/45 - 47*p**4/6 - 728*p**3/27 - 196*p**2/9 + 960. Let u(f) = 0. What is f?
-1, 0, 14
Let m(h) = 65*h**2 + 1362*h + 236679. Let b(t) = 28*t**2 + 682*t + 118339. Let s(d) = -7*b(d) + 3*m(d). Suppose s(z) = 0. Calculate z.
-344
Let s be 0 - (-4)/(-2) - (2 - -47). Let a = s + 79. Let i(x) = 4*x**2 + 16*x - 34. Let z(f) = -f**2 - 3*f + 7. Let r(l) = a*z(l) + 6*i(l). Factor r(h).
-4*(h - 2)*(h - 1)
Factor -1/2*g**3 - 1251/2*g + 627/2*g**2 + 625/2.
-(g - 625)*(g - 1)**2/2
Let q(d) = 69*d**3 + 4923*d**2 + 109582*d - 40507. Let w(m) = 71*m**3 + 4922*m**2 + 109583*m - 40508. Let a(y) = -8*q(y) + 7*w(y). Let a(u) = 0. What is u?
-45, 4/11
Let o(d) be the first derivative of 5*d**3/3 + 2695*d**2 - 10800*d - 9230. Factor o(w).
5*(w - 2)*(w + 1080)
Let w(i) = i**5 - i**4 - 2*i. Let z(d) = 7*d**2 - d**5 + 8*d**4 - d**5 + 138*d**3 - 129*d**3 + 8*d. Let h(q) = -12*w(q) - 4*z(q). Factor h(k).
-4*k*(k + 1)**3*(k + 2)
Let g(x) = 2*x**3 + 628*x**2 + 1230*x + 6. Let l(a) = -5*a**3 - 1886*a**2 - 3689*a - 21. Let p(q) = 7*g(q) + 2*l(q). Factor p(v).
4*v*(v + 2)*(v + 154)
Suppose 0 = -15*i + 9*i + 9216. Suppose -i*v**2 + 1564*v - 128*v**3 - 16384 - 1615*v**4 + 1611*v**4 - 9756*v = 0. Calculate v.
-8
Let p(j) = -5. Let q(r) = 3*r**2 + 87*r - 30. Let w be 7/2*(-4)/14. Let s(o) = w*q(o) + 6*p(o). Factor s(l).
-3*l*(l + 29)
Let f(x) = -14*x**3 + 3*x - 1. Let n be f(1). Let y be n*6/45*(-15)/6. Solve 53*q - 32*q - 4*q**4 - y*q**5 - 29*q + 4*q**2 + 12*q**3 = 0.
-2, -1, 0, 1
Let g(y) be the second derivative of 2*y**7/21 + 2*y**6/3 - 9*y**5/5 - 15*y**4 + y + 1941. Factor g(d).
4*d**2*(d - 3)*(d + 3)*(d + 5)
Let x(a) be the third derivative of -a**7/70 + a**6/180 + a**5/45 - 25*a**4/24 + a**3/3 + 32*a**2. Let m(t) be the second derivative of x(t). Factor m(h).
-4*(3*h - 1)*(9*h + 2)/3
Factor 159*k**3 + 12/5*k**4 + 0 + 0*k + 198/5*k**2.
3*k**2*(k + 66)*(4*k + 1)/5
Let r = 269 + -264. Let d be 0*(r + (-160)/30). Let 1/9*a + 4/9*a**3 + 5/9*a**2 + d = 0. Calculate a.
-1, -1/4, 0
Let i be (24/(-34))/(14/(-4)*(2910/(-140))/(-97)). Factor i*m + 54/17*m**3 + 0 - 22/17*m**4 - 50/17*m**2 + 2/17*m**5.
2*m*(m - 8)*(m - 1)**3/17
Let p = -299 + 266. Let u be 34 + p - (-2 + (1 - 0)). Determine b so that 0 + 4/7*b - 4/7*b**u = 0.
0, 1
Suppose 67 - 58 = 2*h + 5*l, -3*l = -2*h + 1. Let w(y) be the third derivative of 0*y - 11*y**h + 0 - 1/48*y**4 + 1/240*y**5 + 0*y**3. Factor w(a).
a*(a - 2)/4
Let k(w) = -7*w + 399. Let j be k(57). Suppose j = 9*g + 802 - 820. Factor 3/2 - c**g + 5/2*c.
-(c - 3)*(2*c + 1)/2
Let r = -81888 - -81890. Factor 2/11*m**r + 4/11*m + 0.
2*m*(m + 2)/11
Solve -8/3*v**4 - 16/3*v + 28/3*v**2 - 2*v**3 + 0 + 2/3*v**5 = 0.
-2, 0, 1, 4
Suppose 5 = -t, 16*i + 2*t + 25 = 21*i. Solve 2*k**i - 2/3*k**4 - 2/3*k**2 - 2*k + 4/3 = 0 for k.
-1, 1, 2
Suppose -3*q + 73 - 75 = 2*f, -8 = -5*f - q. Solve 24/5*p - 112/5*p**f + 102/5*p**3 - 14/5*p**4 + 0 = 0 for p.
0, 2/7, 1, 6
Let p(m) = 2*m**2 + 19*m + 14. Let g be p(-9). Suppose -3*q + g = -100. Factor -114*t**3 + q*t + 52*t**3 - 10 + 87*t**3 - 5*t**4 - 45*t**2.
-5*(t - 2)*(t - 1)**3
Let p = 98 - 78. Let d(r) = r**3 - r. Let y(q) = -12*q**3 + 4*q**2 + 8*q. Let s(f) = p*d(f) + 2*y(f). Factor s(x).
-4*x*(x - 1)**2
Let k(d) be the first derivative of -2*d**5/25 + 6*d**4 + 916*d**3/15 + 732*d**2/5 + 134*d + 7089. Suppose k(c) = 0. Calculate c.
-5, -1, 67
Let k(v) be the second derivative of 65*v**7/42 - 92*v**6/15 - 6*v**5/5 + 56*v**4/3 + 40*v**3/3 - v + 3134. Determine r, given that k(r) = 0.
-10/13, -2/5, 0, 2
Let d be (-2)/((-10)/(-75))*-1. Let m be (10/d*-3)/(-1). Let -179*t**2 + 757*t - 2187 - 28*t + 3*t**3 + 98*t**m = 0. Calculate t.
9
Let u(w) be the second derivative of -w**4/6 - 47*w**3/3 - 46*w**2 - 4609*w. Factor u(i).
-2*(i + 1)*(i + 46)
Let