99*x**2 - 240894245052 + 15897706808 = 0. Calculate x.
-487
Let q = 553760/3 + -184586. Let q*a - 2/3*a**4 - 2/3*a**3 + 2*a**2 - 4/3 = 0. What is a?
-2, -1, 1
Let b = 137 - 147. Let r(w) = -44*w**3 - 12*w**2 - 10*w. Let a(s) = -s. Let c(m) = b*a(m) + r(m). Factor c(o).
-4*o**2*(11*o + 3)
Let n(s) be the third derivative of s**7/210 + 11*s**6/60 - 33*s**5/20 - 697*s**4/6 + 2890*s**3/3 - 3286*s**2 - 2. Factor n(o).
(o - 10)*(o - 2)*(o + 17)**2
Let l(y) = 20*y**4 + 16*y**3 + 12*y**2 - 8. Let w(h) = 7*h**4 + 5*h**3 + 4*h**2 - 3. Let x = -40 + 43. Let p(m) = x*l(m) - 8*w(m). Find i such that p(i) = 0.
-1, 0
Let w = -1593805 - -1593809. Suppose 3/2*l**w - 33/2*l**3 + 105/2*l**2 - 75/2*l + 0 = 0. Calculate l.
0, 1, 5
Let c(n) be the third derivative of -14*n + n**2 - 1/168*n**8 + 0*n**3 + 2/105*n**7 + 0 + 0*n**4 + 0*n**5 + 0*n**6. Factor c(v).
-2*v**4*(v - 2)
Let z = -151604 - -151604. Factor -32/3*k**3 - 14/3*k**4 + 0 + z*k - 8/3*k**2.
-2*k**2*(k + 2)*(7*k + 2)/3
Factor 0 - 3943/3*m**2 + 1126/3*m + 7/3*m**3.
m*(m - 563)*(7*m - 2)/3
Let p = -117 - -139. Determine q, given that -p - 4*q**2 - 24 + 62 = 0.
-2, 2
Let y = 23/34140 + 6554719/238980. Find j, given that -y*j - 36/7 + 11/7*j**3 + 5*j**2 = 0.
-6, -2/11, 3
Let t(l) be the first derivative of 16/27*l**3 - 16 + 1/3*l**4 + 2/45*l**5 - 2/3*l**2 - 2*l. Factor t(x).
2*(x - 1)*(x + 1)*(x + 3)**2/9
Let t = 236 + -233. Let r(l) be the third derivative of 5/72*l**4 + t*l**2 + 0*l - 1/72*l**6 - 1/36*l**5 + 1/126*l**7 + 0*l**3 + 0. Factor r(x).
5*x*(x - 1)**2*(x + 1)/3
Let g(i) = 14*i**4 - 98*i**3 + 1244*i**2 - 1152*i. Let c(t) = 2*t**4 + 21*t**2 - 20*t**2 + t**4 - t**4 - 5*t**4. Let p(r) = -4*c(r) - g(r). Factor p(w).
-2*w*(w - 24)**2*(w - 1)
Let a = -194 - -196. Solve 13 + 20*z - 5 - 12*z**a + 4*z**4 - 16*z - 4*z**3 = 0 for z.
-1, 1, 2
Factor 0 - 2/11*k**3 + 80/11*k**2 - 350/11*k.
-2*k*(k - 35)*(k - 5)/11
Let u be -11 + 2650150/236160 - 6/27. Let t = u - -10503/18368. Let -2/7 - t*z - 2/7*z**2 = 0. What is z?
-1
Let x(v) = -v**2 + 13*v - 36. Let t be x(5). Suppose -20*j + t*j = 3*j. Find h, given that 0*h**2 + 0*h + j*h**3 + 0 - 2/25*h**4 = 0.
0
Let t(m) = -2439*m + 26831. Let q be t(11). What is l in 2/3*l**q - 2/9*l - 2/9*l**4 + 2/9*l**3 - 4/9 = 0?
-1, 1, 2
Determine c so that -30/11*c**2 + 0 + 6/11*c**3 + 0*c = 0.
0, 5
Let x(u) = -11*u**3 - 52*u**2 - 763*u + 868. Let q(v) = 4*v**3 + 16*v**2 + 254*v - 289. Let m(h) = 14*q(h) + 5*x(h). Factor m(n).
(n - 42)*(n - 1)*(n + 7)
Let r(a) be the first derivative of -6*a**5/55 + 9363*a**4/22 - 6495840*a**3/11 + 3384326400*a**2/11 - 6749184000*a/11 + 4477. Suppose r(b) = 0. What is b?
1, 1040
Let k(y) = 5*y**4 - 12*y**3 + 85*y**2 - 72*y. Let h(g) = -3*g**4 + 10*g**3 - 85*g**2 + 74*g. Let l(o) = -3*h(o) - 2*k(o). Factor l(p).
-p*(p - 6)*(p - 1)*(p + 13)
Let i(v) be the first derivative of 2/9*v**3 + 4/3*v**2 - 4 + 2*v. Factor i(n).
2*(n + 1)*(n + 3)/3
Suppose -3*x = -6, 3 = -v - 5*x + 13. Suppose v = 3*s + 2*k - 7, -4*k + 6*k - 10 = -4*s. Let -6*q**2 - 45*q - 2*q**2 - 245 - 25*q + s*q**2 = 0. Calculate q.
-7
Let q(y) be the third derivative of 7*y**5/20 - 4783*y**4/8 + 683*y**3 - 2*y**2 + 410*y. Factor q(s).
3*(s - 683)*(7*s - 2)
Factor -20*t**2 - 45 + 105/2*t + 5/2*t**3.
5*(t - 3)**2*(t - 2)/2
Let y(u) be the second derivative of u**4/18 + 388*u**3/9 + 129*u**2 + 2473*u - 2. Factor y(z).
2*(z + 1)*(z + 387)/3
Let p(g) be the second derivative of -4/35*g**5 - 2/21*g**4 + 7*g + 0*g**3 - 12 - 1/147*g**7 - 1/21*g**6 + 0*g**2. Factor p(a).
-2*a**2*(a + 1)*(a + 2)**2/7
Suppose 2*l = -5*w + 38, 4*w = 9*l - 5*l + 8. Factor -4 - 2*g**3 - w*g**2 + 38*g + 31*g + 2*g**4 - 99*g + 40*g.
2*(g - 1)**3*(g + 2)
Let r be (6 + (-54)/6)/1 - 77/(-11). Let v(m) be the first derivative of 3*m + 3*m**3 + 9/2*m**2 + 2 + 3/4*m**r. Factor v(l).
3*(l + 1)**3
Let f(x) be the first derivative of -3*x**4/32 + 7*x**3/8 + 3*x**2/2 - 163. Suppose f(t) = 0. What is t?
-1, 0, 8
Let w(j) = 36*j**2 + 42*j + 50. Let q(g) = -5*g**2 - 6*g - 7. Suppose -f - 3*a = -a - 48, 5*f - 4*a - 212 = 0. Let y(l) = f*q(l) + 6*w(l). Factor y(m).
-4*(m + 1)*(m + 2)
Let r(b) be the second derivative of b**5/40 - 29*b**4/8 - 183*b**3/4 - 837*b**2/4 - 114*b - 8. Factor r(g).
(g - 93)*(g + 3)**2/2
Let u = -857 - -861. Let -5*c + 6*c - c + 8*c**u - 50*c**4 + 39*c**3 + 3*c**5 = 0. Calculate c.
0, 1, 13
Let o(a) be the first derivative of -a**4/6 + 14*a**3 - 239*a**2/3 + 118*a + 4608. Factor o(r).
-2*(r - 59)*(r - 3)*(r - 1)/3
Let l be (-4)/((-96)/21) + (-5)/(-40). Let x be ((-3)/(-6) - l) + (-347)/(-2). Suppose 83*w**2 - x*w**2 + 3*w - 6*w - w**3 + 87*w**2 - 1 = 0. Calculate w.
-1
Let l(g) = 6302*g**2 + 2 + 3*g**3 - 2 - 6301*g**2 - 4*g**3. Let v(b) = -4*b**3 + 64*b**2 - 33*b - 27. Let y(p) = 12*l(p) + 4*v(p). Factor y(m).
-4*(m - 9)*(m - 1)*(7*m + 3)
Let h(z) be the first derivative of -3*z**6 - 1338*z**5/5 - 764*z**4 - 2312*z**3/3 - 288*z**2 + 4075. Find x such that h(x) = 0.
-72, -1, -2/3, 0
Let n be 2/63*7*12 + (-6)/(-18). Suppose -2/3*t**2 + 0 + 4/3*t + 2/3*t**4 - 4/3*t**n = 0. Calculate t.
-1, 0, 1, 2
Let p(j) be the second derivative of -j**4/10 + 164*j**3/5 + 1503*j**2/5 + 958*j. Factor p(t).
-6*(t - 167)*(t + 3)/5
Let u be (-10578)/(-861) - 70/245. Factor -4*s**2 - 32/3 + 1/3*s**3 + u*s.
(s - 8)*(s - 2)**2/3
Let a = 166 + -162. Let 64*l**4 - 42*l - 12 - 44*l**4 + a*l**5 + 14*l + 24*l**3 - 8*l**2 = 0. What is l?
-3, -1, 1
Let d(i) be the third derivative of 7 - 7/12*i**4 + 0*i - 4*i**2 + 38/9*i**3 + 1/90*i**5. Solve d(y) = 0.
2, 19
Let b = 8713 + -16759/2. Let f = b + -10001/30. What is d in 0 + 0*d**3 - 4/15*d**2 + f*d**5 + 4/15*d**4 - 2/15*d = 0?
-1, 0, 1
Let m(a) be the third derivative of -1/40*a**4 - 1/100*a**6 - 35*a**2 + 0 + 0*a**3 + 0*a + 11/300*a**5. Find d, given that m(d) = 0.
0, 1/3, 3/2
Let n(i) be the third derivative of -i**6/60 + 21*i**5/10 - 5*i**4 - 124*i**3/3 + 2*i**2 + 208. Factor n(k).
-2*(k - 62)*(k - 2)*(k + 1)
Let o(r) = 45*r + 92. Let x be o(-2). Factor -w**2 + x*w**4 - 3*w**2 - 6*w**4 - 20*w**3 - 20*w**2 + 32 + 16*w.
-4*(w - 1)*(w + 2)**3
Suppose -2*q - n = -3 - 13, 2*n + 3 = q. Suppose 4*y - 22 = b - 2*b, 2*b + 34 = 5*y. Factor -12*c**4 - y*c**5 + q*c**5 - 5*c**5 - 8*c**3.
-4*c**3*(c + 1)*(c + 2)
Let x be 1 + 268/(-210) - (-2048)/7168. Let y(z) be the third derivative of 1/420*z**6 - x*z**5 + 0*z + 0*z**4 + 34*z**2 + 1/735*z**7 + 0 + 0*z**3. Factor y(f).
2*f**2*(f - 1)*(f + 2)/7
Let p = 108107/7 + -15311. Let v = -8356/63 + p. Suppose 0 - v*t**4 - 4/9*t**3 - 2/9*t**2 + 0*t = 0. What is t?
-1, 0
Let z(l) be the third derivative of 1/24*l**6 - 31*l**2 + 0*l + 1/54*l**4 + 0*l**3 + 2/45*l**5 + 5/378*l**7 - 2. Factor z(t).
t*(t + 1)*(5*t + 2)**2/9
Let g = 2/70361 + 281438/211083. Factor -g + 2/9*x**2 + 2/9*x.
2*(x - 2)*(x + 3)/9
Let y be (-4)/(60/9) - 129/(-15). Let f = 10 + y. Factor -f*n**2 - 21 + 35 + 3*n**3 + 27*n - 26.
3*(n - 4)*(n - 1)**2
Let g(s) be the second derivative of -s**5/8 + 5*s**4/2 + 5*s**3/12 - 15*s**2 + 769*s. Suppose g(b) = 0. What is b?
-1, 1, 12
Let y(z) be the first derivative of -z**6/180 - 17*z**5/10 - 867*z**4/4 + 4*z**3 + 172. Let n(o) be the third derivative of y(o). Factor n(s).
-2*(s + 51)**2
Let d(w) = 151*w**3 + 8584*w**2 + 1624483*w + 102885000. Let f(h) = -53*h**3 - 2862*h**2 - 541494*h - 34295000. Let v(m) = -6*d(m) - 17*f(m). Factor v(c).
-5*(c + 190)**3
Suppose 3*t - 2*a = 4470, -10716*t + 10711*t - 4*a = -7560. What is y in 12500 + 60*y**2 + 4/5*y**3 + t*y = 0?
-25
Suppose 2*r - 3*b = 64, -4*r + 172 = 3*b + 2*b. What is i in 280*i - 118*i**2 - r - 62*i**2 - 5*i**4 - 122 + 50*i**3 = 0?
2, 4
Suppose -7*i + 12 + 2 = 0. Factor -2*f**3 + 3*f - 19 + f - 36*f**i + 40 - 2*f**3 + 15.
-4*(f - 1)*(f + 1)*(f + 9)
Let g be ((126/(-10))/(-3))/(3/15). Suppose -g*j = 6*j. What is u in 0*u + j - 3/4*u**3 + 9/4*u**2 = 0?
0, 3
Let u = 874 + -871. Let c(m) = -151*m + 455. Let t be c(u). Find q such that 1/5*q**t + 3/5*q + 2/5 = 0.
-2, -1
Let p(i) be the second derivative of 123*i + 3/2*i**2 + 27/100*i**5 + 39/20*i**4 + 1 - 29/10*i**3. What is s in p(s) = 0?
-5, 1/3
Let p = 12239/7 - 1748. Suppose -12/7 + 9/7*y + p*y**2 = 0. What is y?
-4, 1
Let m(b) be the third derivative of 0*b**4 + b**2 - 9/2*b**3 + 7/24*b**5 + 1/72*b**6 + 0*b + 0. Let j(g) be the first derivative of m