+ 643*i**5/20 - 1031*i**4/48 + 43*i**3/6 - i**2 + 1047*i + 1. Suppose b(d) = 0. What is d?
-86, 1/6, 1/3
Let u be (-40)/14 - (-192596)/3787. Suppose -u*x + 3/2*x**2 + 384 = 0. What is x?
16
Let c be 6/(-63) + (10 - (-3495)/315). Let p(f) be the first derivative of 1/22*f**2 - 1/66*f**6 - 2/33*f**3 + c + 0*f**4 + 0*f + 2/55*f**5. Factor p(r).
-r*(r - 1)**3*(r + 1)/11
Let a = 261 + -265. Let k(n) = -2*n**4 - n**3 + n**2 - 2*n + 1. Let f(b) = -4*b**4 - 36*b**3 + 364*b**2 - 600*b + 252. Let v(h) = a*k(h) - f(h). Factor v(l).
4*(l - 2)**2*(l + 8)*(3*l - 2)
Let y(d) be the first derivative of 2*d**5/15 - 10*d**4 + 38*d**3/3 + 118*d**2/3 + 1989. Factor y(r).
2*r*(r - 59)*(r - 2)*(r + 1)/3
Factor 6348/13 + 8*p**2 - 1610/13*p - 2/13*p**3.
-2*(p - 23)**2*(p - 6)/13
Let x(d) = 22*d**2 + 505*d + 141. Let j(r) = 64*r**2 + 1513*r + 424. Let l(m) = 6*j(m) - 17*x(m). Find c, given that l(c) = 0.
-49, -3/10
Suppose -32*h = -22*h - 5650. Let d be h/150 - (-1)/(-6). Find i, given that 0 - 4*i**3 - 6/5*i**4 - 4/5*i - d*i**2 = 0.
-2, -1, -1/3, 0
Determine v, given that -64/11*v**2 - 26/11*v**3 + 0 + 72/11*v + 2/11*v**5 + 16/11*v**4 = 0.
-9, -2, 0, 1, 2
Let r be (15*9/(-405))/(3/(-18)). Factor 0 - 1/4*p**4 + 1/4*p**r + 1/4*p**5 - 3/4*p**3 + 1/2*p.
p*(p - 2)*(p - 1)*(p + 1)**2/4
Suppose 10666708/5*y**2 + 36/5*y**4 + 14170128/5*y + 39144/5*y**3 + 4717584/5 = 0. Calculate y.
-543, -2/3
Let n(d) be the first derivative of d**6/6 + 4*d**5/5 - 15*d**4/2 - 100*d**3/3 + 125*d**2/2 - 682. Factor n(b).
b*(b - 5)*(b - 1)*(b + 5)**2
Let d = 13590 - 13587. What is v in -18/7*v + 3/7*v**d + 15/7*v**2 + 0 = 0?
-6, 0, 1
Let i be (0/(-3))/(10/(-6) + (-9)/27). Let v(k) be the third derivative of i*k**3 + 1/15*k**5 - 30*k**2 - 1/30*k**6 + 0*k**4 + 0 + 0*k. Factor v(l).
-4*l**2*(l - 1)
Let p be -4 - -4 - (-3 - -6). Let m be 1*561 - (3 + 0 + p). Factor 3*v**4 + 2 - v**3 - 3*v**2 - 2*v**4 - m*v + 562*v.
(v - 2)*(v - 1)*(v + 1)**2
Solve 2/3 + 67/6*n**2 + 7/6*n**5 + 73/6*n**3 + 37/6*n**4 + 14/3*n = 0 for n.
-2, -1, -2/7
Let p = -871098 + 871098. Suppose 0*o**2 + 2/3*o**3 + 0*o + p + 1/3*o**4 = 0. What is o?
-2, 0
Let p(v) be the first derivative of -v**6/51 - 4*v**5/17 + 23*v**4/34 - 8*v**3/17 + 3899. Factor p(r).
-2*r**2*(r - 1)**2*(r + 12)/17
Suppose -10*g**3 + 7*g - 9*g**2 - 19*g + 2*g - 2*g**4 + 31*g**3 = 0. What is g?
-1/2, 0, 1, 10
Let d be (-3 - -3) + -16 + 23. Factor 2*z**2 + 12*z**3 - 30*z - 3*z**4 + d*z**2 + 458 - 482.
-3*(z - 4)*(z - 2)*(z + 1)**2
Let b(t) = 8*t**3 + 7*t**2 - 20*t - 8. Let p be b(4). Let v = p + -534. Factor -16/3*w - 64/3 - 1/3*w**v.
-(w + 8)**2/3
Let g(a) = 95*a**3 + 1124*a**2 + 10919*a + 27006. Let w(l) = -300*l**3 - 3371*l**2 - 32756*l - 81019. Let k(c) = 19*g(c) + 6*w(c). Factor k(f).
5*(f + 5)**2*(f + 216)
Find o, given that 120 + 95/2*o + 5/2*o**2 = 0.
-16, -3
Suppose 126*g**2 + 62*g**3 + 68*g - 53*g**3 + 62*g**4 + 39*g**2 + 37*g**2 - 2*g**5 + 189*g**3 = 0. What is g?
-1, 0, 34
Let w(l) be the third derivative of -8/9*l**4 + 1 + 40/9*l**3 + 0*l + 1/45*l**5 + 1/90*l**6 + 14*l**2. Let w(x) = 0. What is x?
-5, 2
Let q = -37037/5 - -7408. Let x(n) be the first derivative of -3/20*n**4 + 27/10*n**2 - q*n**3 + 24 - 3*n. Find l such that x(l) = 0.
-5, 1
Let m(a) be the third derivative of 5*a**8/336 - 9*a**7/7 + 65*a**6/2 - 338*a**5/3 - 10*a**2 + 7*a. Let m(p) = 0. What is p?
0, 2, 26
Let u = 133 - 131. Suppose -112*h**4 - 6*h**3 + 6*h - 109*h**4 + 218*h**4 + 3*h**u = 0. Calculate h.
-2, -1, 0, 1
Let f be (128/352)/(4/44). Let a(d) be the third derivative of -1/7*d**3 - 1/35*d**5 + 1/280*d**6 - 4*d**2 + 5/56*d**f + 0*d + 0. Let a(w) = 0. What is w?
1, 2
Suppose -159*h + 156*h + 105 = -3*f, 3*f + 441 = 19*h. Let -324/7*y**2 - 48/7 + h*y**4 + 300/7*y - 75*y**3 = 0. Calculate y.
-1, 2/7, 4
Let k(m) be the second derivative of m**6/135 - 4*m**5/9 + 527*m**4/54 - 2528*m**3/27 + 1280*m**2/3 + 7245*m. Solve k(v) = 0 for v.
3, 5, 16
Let w(i) be the third derivative of -i**8/16800 + i**7/3150 + i**4/24 - i**3/2 - 24*i**2. Let g(t) be the second derivative of w(t). Factor g(b).
-2*b**2*(b - 2)/5
Suppose 2*m = 18*m + 2176. Let d = m + 138. Let -15/4*t**d - 3/2*t + 3/8*t**3 + 3/2*t**4 + 3 + 3/8*t**5 = 0. Calculate t.
-2, 1
Let s(b) be the second derivative of -5*b**7/42 - 23*b**6/6 - 95*b**5/2 - 850*b**4/3 - 2560*b**3/3 - 1280*b**2 + b - 2. Determine o, given that s(o) = 0.
-8, -4, -2, -1
Factor 23/5*r**3 + 186/5*r**2 + 1/5*r**4 + 608/5*r + 128.
(r + 2)*(r + 5)*(r + 8)**2/5
Let v be (-5)/15*-12 - (-3)/1. Suppose o - 3*r = 0, -3*o = 4*r - 2 - 11. Factor 0*q**2 - v*q + 0*q**2 + 2*q**2 - o*q.
2*q*(q - 5)
Suppose x = -4*k + 2, 4*x - 2 = 5*k + 6. Suppose k = 4*v + 4*w - 27 - 25, 2*v = 4*w + 20. Suppose 15*c + 0*c**2 - v*c + 2 - 3*c**2 + c**2 = 0. What is c?
-1/2, 2
Suppose 185/4*i + 1/4*i**2 + 46 = 0. Calculate i.
-184, -1
Let o(k) be the first derivative of -k**5/10 - k**4/8 + 7*k**3/6 + k**2/4 - 3*k - 4927. Suppose o(x) = 0. What is x?
-3, -1, 1, 2
Let k be 5*1*(-579)/(-21)*-3. Let y = k + 415. Factor 2*q - 6/7 + 2/7*q**3 - y*q**2.
2*(q - 3)*(q - 1)**2/7
Let h(j) be the second derivative of j**5/10 + 23*j**4/2 + 62*j**3/3 - 408*j**2 + 5488*j. Factor h(t).
2*(t - 2)*(t + 3)*(t + 68)
Let a be 218/126 + (16 - 912/56) + -1. Suppose 8/9 + 16/9*l - a*l**3 - 2/9*l**4 + 2/3*l**2 = 0. What is l?
-2, -1, 2
Let d(t) be the third derivative of 5/6*t**4 + 7/2*t**3 + 0 + 118*t**2 + 0*t - 1/60*t**5. Solve d(m) = 0 for m.
-1, 21
Let h(f) be the second derivative of -f**4/4 + 6*f**3 - 30*f**2 + 510*f. Determine t, given that h(t) = 0.
2, 10
Let q(w) = w**3 + 10*w**2 + 14*w + 44. Let r be q(-9). Let u be 3 - ((-4)/(-3) + (r - -2)). Determine t, given that -2/3*t**2 + u + 0*t = 0.
-1, 1
Let n(f) be the third derivative of -f**8/672 - f**7/420 + f**6/80 + f**5/120 - f**4/24 + 1354*f**2. Solve n(l) = 0 for l.
-2, -1, 0, 1
What is p in -1293*p + 1/2*p**2 + 1671849/2 = 0?
1293
Let a = 8383/2520 + -208/63. Let x(l) be the first derivative of 0*l + 0*l**2 - 11 - 1/16*l**4 + 0*l**3 + a*l**5. Factor x(s).
s**3*(s - 2)/8
Let t(y) be the first derivative of y**4/18 + 130*y**3/9 + 1570. Factor t(o).
2*o**2*(o + 195)/9
Let u be (1 - -2)*9*(-15)/(-1215). Determine h, given that -1/6*h**2 + u*h + 0 - 1/6*h**3 = 0.
-2, 0, 1
Let p(b) be the second derivative of -b**7/280 + b**6/20 + 9*b**5/80 - 46*b**2 + 100*b. Let l(z) be the first derivative of p(z). Factor l(k).
-3*k**2*(k - 9)*(k + 1)/4
Let u(v) be the third derivative of 1/240*v**5 + 0 + 0*v - 11*v**2 + 1/96*v**4 + 0*v**3. Determine t so that u(t) = 0.
-1, 0
Let n(f) be the first derivative of -f**5/15 - 57*f**4/2 - 29581*f**3/9 - 9690*f**2 - 28900*f/3 - 451. Factor n(i).
-(i + 1)**2*(i + 170)**2/3
Let a(z) be the second derivative of -z**5/25 - 122*z**4/5 + 2347*z. Factor a(x).
-4*x**2*(x + 366)/5
Let l(h) be the first derivative of -7/2*h**2 + 0*h - 1/30*h**6 + 2*h**3 - 1/5*h**5 + 1/6*h**4 - 3. Let r(u) be the second derivative of l(u). Factor r(j).
-4*(j - 1)*(j + 1)*(j + 3)
Let j(k) be the second derivative of 1/420*k**7 + 0*k**2 + 1/30*k**3 + 1/60*k**6 + 0 + 9/200*k**5 + 7/120*k**4 + 42*k. Factor j(x).
x*(x + 1)**3*(x + 2)/10
Let a be (-10 - -7)*(-4)/(-18) - -394. Let z = 394 - a. Let -1/3*k**2 + 2/3*k + 1/3 - z*k**3 = 0. What is k?
-1, -1/2, 1
Let q(f) be the second derivative of 21*f + 0 + 1/60*f**5 - 1/24*f**4 - 23/2*f**2 + 0*f**3. Let t(a) be the first derivative of q(a). Factor t(g).
g*(g - 1)
Let q be (-4)/60*(19 - -111)/(-13). Suppose 0 - q*m**4 + 0*m**3 + 0*m + 2/3*m**2 = 0. Calculate m.
-1, 0, 1
Factor -22/5*y**2 - 432/5 + 476*y.
-2*(y - 108)*(11*y - 2)/5
Factor -5*c**2 - 963597 - 390*c + 478235 + 480637.
-5*(c + 15)*(c + 63)
Let c(z) be the third derivative of 0*z + 11/210*z**6 + 143*z**2 - 2/3*z**4 + 16/7*z**3 + 0 - 31/70*z**5 - 1/588*z**8 + 3/245*z**7. Let c(v) = 0. What is v?
-3, -1, 1/2, 4
Let v be -165*3/8*2. Let p = 125 + v. Find n such that -5/4*n**4 + 0 - p*n**3 + 5*n**2 + 5*n = 0.
-2, -1, 0, 2
Let x = 205921/132 - 1560. Let w(v) be the third derivative of 0*v + 0*v**3 - 6*v**2 - x*v**4 - 1/330*v**5 + 0. Factor w(j).
-2*j*(j + 1)/11
Suppose 13*u - 47 = 5. Suppose -220*m**3 - 88249*m**u - 4*m + 4 + 4 + 88149*m**4 - 132*m**2 = 0. What is m?
-1, -2/5, 1/5
Let o(m) be the first derivative of -m**5 + 575*m**4/4 - 17360*m**3/3 + 2352