93*r - 75. Let x(t) = 419*t**3 + 1082*t**2 + 877*t + 225. Let q(c) = 11*u(c) + 4*x(c). Factor q(j).
3*(j + 1)*(7*j + 5)**2
Let o be 2/5 + (-318368)/(-7280). Let l = 310/7 - o. Factor 20/13*k**2 + l*k**3 + 0 + 0*k.
2*k**2*(k + 10)/13
Let a(g) = -g**3 + 20*g**2 + 47*g - 64. Let v be a(22). What is u in -668*u**v + 896*u - 116*u**4 + 476*u**5 + 784 - 375*u**3 - 480*u**5 - 517*u**3 = 0?
-14, -1, 1
Suppose 180 = 37*w + 32. Let q(x) be the third derivative of 1/30*x**6 + 0*x + 4/3*x**3 - 12*x**2 + 0 - 5/6*x**w - 2/105*x**7 + 1/5*x**5. Factor q(j).
-4*(j - 1)**3*(j + 2)
Let n(u) = u**3 + 23*u**2 + 14*u. Let j(m) = -m**3 + 2*m**2 + m. Let k(r) = -4*j(r) + n(r). What is i in k(i) = 0?
-2, -1, 0
Suppose 12 - 20 = 4*c. Let x(i) = -52*i**2 - 721*i - 199. Let d(v) = 25*v**2 + 361*v + 100. Let p(s) = c*x(s) - 5*d(s). Factor p(z).
-3*(z + 17)*(7*z + 2)
Let z(j) = 128*j + 33283. Let x be z(-260). Let 3/5*v**2 + 1/5*v**x - 13/5*v - 3 = 0. Calculate v.
-5, -1, 3
Suppose h = -4*n + 5*n, -3*n + 2 = -4*h. Let p be -15*(-4)/24 - h/(-4). Solve 33*y - 4*y**p + 124 + 29*y - 320 - 6*y = 0.
7
Factor 478/9*c + 2/9*c**3 + 0 + 160/3*c**2.
2*c*(c + 1)*(c + 239)/9
Let g(r) be the first derivative of r**5/30 - r**4/12 - 2*r**3/3 - 3*r**2 - 11*r - 6. Let f(i) be the second derivative of g(i). Factor f(b).
2*(b - 2)*(b + 1)
Let m(t) be the second derivative of t**7/28 + t**6/8 - 9*t**5/5 - 125*t**4/16 - 25*t**3/4 + 5*t - 50. Solve m(w) = 0.
-5, -2, -1/2, 0, 5
Factor 58 - 7241 + 121*m - 2*m**2 + 207*m + 911 - 104*m.
-2*(m - 56)**2
Suppose -2*l + l = -2*g + 877, -2*g - 3*l = -897. Let s = g - 441. Factor s - i**4 + 12/5*i**3 - 9/5*i**2 + 2/5*i.
-i*(i - 1)**2*(5*i - 2)/5
Factor 3/7*x**3 + 222/7*x**2 + 216/7 + 435/7*x.
3*(x + 1)**2*(x + 72)/7
Factor -254/7*r - 80/7*r**2 + 2/7*r**3 - 172/7.
2*(r - 43)*(r + 1)*(r + 2)/7
Factor 2/3*w**3 - 2172 + 1454*w - 736/3*w**2.
2*(w - 362)*(w - 3)**2/3
Find a, given that 263/2*a**2 - 961/4 - 16213/8*a - 17/8*a**3 = 0.
-2/17, 31
Let h(q) be the second derivative of -q**4/48 + 11*q**3/8 - 226*q + 2. Let h(f) = 0. What is f?
0, 33
Suppose -29*p = -23*p + 7740. Let s = p - -1292. Factor 0 + 5/3*q**3 + 0*q - 2*q**s - 1/3*q**4.
-q**2*(q - 3)*(q - 2)/3
Find f, given that 1/6*f**3 - 115/6*f - 2/3*f**2 - 175/3 = 0.
-5, 14
Let m(w) = 91*w**3 + 7974*w**2 + 7037*w - 830. Let f(i) = 92*i**3 + 7973*i**2 + 7039*i - 830. Let t(x) = -4*f(x) + 3*m(x). Determine n so that t(n) = 0.
-83, -1, 2/19
Let g(k) be the second derivative of -k**6/90 - k**5/6 - 5*k**4/12 + 25*k**3/9 + 28*k**2/3 + 2081*k. Solve g(l) = 0.
-7, -4, -1, 2
Let c(l) be the third derivative of l**6/540 - 7*l**5/90 - 19*l**3 - 12*l**2 - 2*l. Let y(j) be the first derivative of c(j). Determine a, given that y(a) = 0.
0, 14
What is x in -45*x**3 - 4*x**5 - 49*x**4 - 21 + 25*x**4 + 9*x**3 + 21 - 16*x**2 = 0?
-4, -1, 0
Let o(m) = m**2 + 35*m + 176. Let z be o(-29). Suppose -2/3*g**z + 0*g**3 + 2/3*g**4 + 0*g + 0 = 0. What is g?
-1, 0, 1
Let u(a) be the third derivative of 0*a + 17*a**2 + 0 - 11/24*a**4 - 1/6*a**3 - 1/20*a**5. Let z(k) = k**2 + k + 1. Let p(o) = -u(o) - 5*z(o). Factor p(g).
-2*(g - 2)*(g - 1)
Let m(t) be the first derivative of -9*t**5/5 - t**4/2 + 9*t**3 - 6*t**2 - 4*t - 829. Determine j so that m(j) = 0.
-2, -2/9, 1
Let q be 60/(-18)*(-22)/(39 + 511). Factor q*x - 4/15*x**2 + 0 - 2/5*x**3.
-2*x*(x + 1)*(3*x - 1)/15
Let y be 78/(-16) - (-81 - (88 - 163)). Factor -177/8*u**2 + 75/2 + y*u**3 + 105*u.
3*(u - 10)**2*(3*u + 1)/8
Factor 1640 - 2312 - 338*s - 2*s**2 + s**2.
-(s + 2)*(s + 336)
Let r(b) = -b**5 + 7*b**4 + 27*b**3 + 15*b**2 + 2. Let z(m) = 8*m**4 + 29*m**3 + 13*m**2 - 2*m + 3. Let g(n) = 3*r(n) - 2*z(n). Find s, given that g(s) = 0.
-1, -1/3, 0, 4
Let u(l) = -l**3 - l**2 - 1. Suppose -2*d = -6 + 8. Let q(h) = -2*h**3 - 2*h - 8. Let c(v) = d*q(v) + 4*u(v). Factor c(p).
-2*(p - 1)*(p + 1)*(p + 2)
Suppose -r = 4*u - u - 15, -4*r - 3*u = -15. Let i = 12/24191 - -145062/169337. Solve 8/7*o**5 + i*o**4 + 4/7*o**2 + 0*o + r - 18/7*o**3 = 0.
-2, 0, 1/4, 1
Find h, given that h**3 - 2195*h**2 - 1203409 + 347093*h + 936670*h - 78160*h = 0.
1, 1097
Let s(w) = 3*w**2 - 1356*w + 1332. Let d(g) = -4*g**2 + 1808*g - 1777. Let h(o) = 14*d(o) + 18*s(o). Suppose h(y) = 0. What is y?
1, 451
Factor -5*f**2 - 260*f - 1020*f + 0*f**2 + 3289 + 596.
-5*(f - 3)*(f + 259)
Let z(o) be the second derivative of -5*o**7/21 + 77*o**6/15 + 223*o**5/10 + 65*o**4/2 + 18*o**3 - 100*o - 8. Determine d, given that z(d) = 0.
-1, -3/5, 0, 18
Let o be (2*32/36)/(-9 - (-5 + -5)). Factor 7/9*q**2 + 1/9*q**3 + 4/3 + o*q.
(q + 2)**2*(q + 3)/9
Let a(j) = j**3 - 5*j**2 + 2*j + 14. Let g be a(6). Let k = g - 60. Factor 1/3*y**5 + 4/3*y**k + 0 - y**3 - 2/3*y**4 + 4/3*y.
y*(y - 2)**2*(y + 1)**2/3
Let s(h) be the third derivative of -85*h**2 - 2/105*h**7 + 0*h + 0*h**3 + 4/5*h**5 + 0*h**6 + 8/3*h**4 + 0. Determine g so that s(g) = 0.
-2, 0, 4
Let r be (-12212)/(-702190) - (-3097)/460. Factor 1/4*t**5 - 27/4*t - 9/4*t**4 + r - 9/2*t**2 + 13/2*t**3.
(t - 3)**3*(t - 1)*(t + 1)/4
Let v(f) = -f**3 - f + 3. Let t(m) be the first derivative of 3*m**4/4 - m**3 + 2*m**2 - 12*m + 262. Let w(z) = -3*t(z) - 12*v(z). Factor w(y).
3*y**2*(y + 3)
Let d = -17532 + 122727/7. Let n(c) be the first derivative of 1/7*c**3 + 36 + d*c**2 + 3/7*c. Factor n(r).
3*(r + 1)**2/7
Suppose -2*r = -4*a + 42, -5*a + 3*r = -2*a - 36. Let d be (-528)/60 + a + 0. Factor s + d + 4/5*s**2.
(s + 1)*(4*s + 1)/5
Let c(h) be the second derivative of -h**2 + 0*h**3 - 2 + 1/6*h**4 + 60*h. Factor c(w).
2*(w - 1)*(w + 1)
Suppose 0 = 4*o - 15899 + 15875. Let z(r) be the second derivative of 0 + 1/16*r**4 + 3/80*r**5 + 3*r - 1/40*r**o - 1/8*r**3 + 0*r**2. Solve z(u) = 0 for u.
-1, 0, 1
Let s be (-4 - -3)*1*-3 + -5. Let f be -9 + (-1096)/(-120) - s/10. Let -f*x**2 + x - 1/3*x**4 - x**3 + 2/3 = 0. Calculate x.
-2, -1, 1
Let u(t) = -t**4 + t**3 + 2*t**2 - 2*t. Let d(l) = 6*l**4 + 32*l**3 + 54*l**2 - 28*l - 64. Let o(s) = -d(s) - 4*u(s). Suppose o(a) = 0. What is a?
-16, -2, -1, 1
Suppose -5*l - 60 = -5*d, d = 243*l - 241*l + 20. Suppose -8/7*g**2 - 8/7*g**d + 16/7 - 4*g - 4/7*g**5 + 32/7*g**3 = 0. What is g?
-4, -1, 1
Factor 1/6*d**2 - 709/6*d + 0.
d*(d - 709)/6
Let q be (30/28)/((25/1930)/(-5)). Let n = 415 + q. Factor -n*v + 2/7*v**2 + 12/7.
2*(v - 3)*(v - 2)/7
Let d(v) = -478*v - 4300. Let f be d(-9). Let l(k) be the third derivative of -17*k**f + 1/60*k**5 + 0*k - 2/3*k**3 + 0 - 1/8*k**4. Factor l(r).
(r - 4)*(r + 1)
Let v(l) = 27*l**2 + 75*l - 15. Suppose 7*a = 11*a - 16. Let w(j) = -7*j**2 - 19*j + 4. Let t(y) = a*v(y) + 15*w(y). Determine x, given that t(x) = 0.
-5, 0
Let x be 3/8*(774 - 770). Suppose -6*n = -5*n - 3. Determine w, given that 0 - 9/2*w**4 + x*w**3 + 3/2*w**5 + 9/2*w**2 - n*w = 0.
-1, 0, 1, 2
Let m = 1133/875 - 19/125. Suppose -8/7*c + m*c**3 + 0 - 30/7*c**2 = 0. Calculate c.
-1/4, 0, 4
Find f such that 20/3*f**3 + 0*f + 0*f**2 + 0 + 5*f**4 - 5/3*f**5 = 0.
-1, 0, 4
Let g(v) = 3*v**4 + 12*v**3 + 12*v**2 + 3. Suppose -3*k + 18 = 39. Let o(x) = 8*x**4 + 25*x**3 + 24*x**2 + 7. Let j(f) = k*g(f) + 3*o(f). Factor j(z).
3*z**2*(z - 4)*(z + 1)
Suppose 25 + 2 = 9*n. Suppose 4*t + n = 3*y - 4, y - 5 = 0. Factor 3/2*k**3 + 3/2 + 9/2*k + 9/2*k**t.
3*(k + 1)**3/2
Let x be ((-18)/144)/(3*2/(-96)) - -1. Factor 15*n**2 - 3/2*n**x - 75/2*n + 0.
-3*n*(n - 5)**2/2
Find s such that 44/13*s**4 - 2/13*s**5 - 120/13*s**3 - 38/13*s + 116/13*s**2 + 0 = 0.
0, 1, 19
Let k = 6554/681 + -66/227. Let d = -19 - -21. Factor -k*a**3 - 1/3*a + 85/3*a**2 - d.
-(a - 3)*(4*a + 1)*(7*a - 2)/3
Let t(m) = -123*m**2 + 978*m - 985. Let x(p) = 19*p**2 - 163*p + 164. Let f(u) = -2*t(u) - 13*x(u). Let f(c) = 0. What is c?
1, 162
Let v = 75015 - 74999. Solve v*a - 4/5*a**2 - 80 = 0.
10
Let g be 8320/(-416) + 20*1. Let a(m) be the third derivative of g + 0*m - 1/3*m**3 + 1/30*m**5 - 39*m**2 + 1/60*m**6 - 1/12*m**4. What is u in a(u) = 0?
-1, 1
Let 10*p**2 + 0*p - 19/4*p**4 + 0 + 1/4*p**5 - 11/2*p**3 = 0. Calculate p.
-2, 0, 1, 20
Let z = 143 - 232. Let w = z + 84. Let m(y) = -9*y**2 - 20*y - 21. Let s(x) = -14*x**2 - 30*x - 32. Let a(o) = w*s(o) + 8*m(o). Factor a(c).
-2*(c + 1)*(c + 4)
Let b(t) be the third derivative of -t**5/420 - 23*t**4/168 - 20*t**3/7 + 116*t**2 - 3. Solve b(v) = 0.
-15, -8
Le