)*(d + 20)**2/15
Let j(m) be the second derivative of m**5/40 + 17*m**4/24 - 19*m**3/6 - 3079*m. Solve j(t) = 0.
-19, 0, 2
Let w(m) be the first derivative of 3*m**4/20 + 14*m**3/5 + 18*m**2 + 216*m/5 - 1756. Factor w(u).
3*(u + 2)*(u + 6)**2/5
Let j be ((-24)/128)/(35 + 26474/(-756)). Factor -3/8*a**2 + j*a + 0.
-3*a*(a - 27)/8
Let h(q) be the second derivative of 3*q**4/4 - 2383*q**3/6 - 265*q**2 + 10873*q. Determine l, given that h(l) = 0.
-2/9, 265
Let f be (4 - 40/(-12))*(-48)/(-264). Let c(v) be the third derivative of 0*v + 2/15*v**5 + 0 + 5/6*v**4 - 1/6*v**6 + 23*v**2 - f*v**3. Factor c(m).
-4*(m - 1)*(m + 1)*(5*m - 2)
Let c(b) be the second derivative of -2*b - 1/21*b**7 + 59 + 0*b**5 + 0*b**2 + 1/3*b**3 - 1/3*b**4 + 2/15*b**6. Find n such that c(n) = 0.
-1, 0, 1
Solve -2 + 367*s**2 + 80 - 14*s**4 - 7*s**3 - 39*s**4 - 8*s**3 + 4*s**5 - 409*s + 28*s**2 = 0.
-3, 1/4, 1, 2, 13
Let b be 945/24 - (-15)/(-40). Suppose -2*w - 6 = b*u - 41*u, 5*w = -u - 15. Factor 2/3*p + p**2 + 0 - 1/3*p**4 + u*p**3.
-p*(p - 2)*(p + 1)**2/3
Let l(q) be the first derivative of 83 + 1/3*q**3 + 0*q + 3/2*q**2. Solve l(i) = 0 for i.
-3, 0
Find z, given that 2*z - 4/5*z**2 - 6/5*z**3 + 0 = 0.
-5/3, 0, 1
Let v(t) be the second derivative of -28*t**6/15 - 251*t**5/10 - 137*t**4/2 + 715*t**3/3 - 25*t**2 + 702*t. Let v(f) = 0. Calculate f.
-5, 1/28, 1
Let s(p) = 16*p**2 + 15*p**2 + 26*p**2 + 24*p**2 - 31*p - 113*p**2 - p**3. Let g be s(-31). Find f such that 15/8*f + g - 3/8*f**2 = 0.
0, 5
Factor 3473*a + 5339*a - 4*a**2 - 5494 - 2768*a - 6578.
-4*(a - 1509)*(a - 2)
What is s in 22496/3*s**2 - 298/3*s**3 - 43808/3*s + 1/3*s**4 + 0 = 0?
0, 2, 148
Let x(j) = j**2 + 1106*j - 10033. Let r be x(9). Factor -8/9*b - 4/9*b**r + 0.
-4*b*(b + 2)/9
Let c(q) be the second derivative of 0*q**2 - 2 - 245*q**3 - 79/6*q**6 + 5/6*q**7 + 71/4*q**5 + 5075/12*q**4 + 75*q. Determine f, given that c(f) = 0.
-3, 0, 2/7, 7
Let v(z) be the first derivative of 2*z**5/85 - 41*z**4/17 + 2834*z**3/51 + 10824*z**2/17 + 34848*z/17 + 827. Factor v(x).
2*(x - 44)**2*(x + 3)**2/17
Factor -136*x**2 + 208 + 16*x - 35*x - 49*x + 140*x**2.
4*(x - 13)*(x - 4)
Solve 8/11*j**2 + 414/11*j + 700/11 = 0.
-50, -7/4
Factor -6*j**2 - 2*j**2 + 4*j**3 - 5*j**2 + 10 + 8 - 71*j + 2*j.
(j - 6)*(j + 3)*(4*j - 1)
Let y(m) be the first derivative of -m**6/10 - 9*m**5/20 + m**4 + 6*m**3 - 30*m + 108. Let o(p) be the first derivative of y(p). Suppose o(g) = 0. Calculate g.
-3, -2, 0, 2
Suppose 151*r - 202*r - 1479 = 0. Let o be (-2)/5 - r/((-725)/(-60)). Factor 0 - 3/2*u**o + 3/2*u**3 - 3*u.
3*u*(u - 2)*(u + 1)/2
Let b be (-2)/988*(-48)/(-4). Let y = 1018/1235 + b. Let 0 - y*k**3 + 0*k - k**4 + 3/5*k**2 + 2/5*k**5 = 0. Calculate k.
-1, 0, 1/2, 3
Factor 26 + i**3 + 54*i - 4*i**3 + 57*i**2 + 5*i**3 - 11*i**2 - 16*i**2.
2*(i + 1)**2*(i + 13)
Let w(n) be the first derivative of -3/4*n**4 + 10*n**3 - 24*n + 6*n**2 - 70 - 1/2*n**6 - 12/5*n**5. Factor w(m).
-3*(m - 1)**2*(m + 2)**3
Suppose 5*v = 3*q + 195, -3*v = 3*q - 135 - 6. Let s be (-12)/((7/(-35))/(v/175)). Factor 0 + s*d**3 + 0*d**2 + 0*d - 24/5*d**4 + 2/5*d**5.
2*d**3*(d - 6)**2/5
Let k**4 - 133/4*k + 173/4*k**2 + 15/2 - 14*k**3 = 0. What is k?
1/2, 3, 10
Factor -30962/3*m - 2/3*m**3 - 524/3*m**2 + 150152.
-2*(m - 12)*(m + 137)**2/3
Solve -31/3*u + 1/3*u**3 - 14 + 4*u**2 = 0.
-14, -1, 3
Determine n so that -14246*n**2 + 11345*n**2 - 1001850*n - 565338909 - 338892154 - n**3 - 1803417*n = 0.
-967
Let a(w) = 9*w**3 + 52*w**2 + 95*w + 52. Let z(n) = -55*n**3 - 315*n**2 - 570*n - 310. Let o(m) = 25*a(m) + 4*z(m). Suppose o(c) = 0. Calculate c.
-4, -3, -1
Let k(h) be the third derivative of -26*h**2 + 3/10*h**5 + 27/16*h**4 - 1/80*h**6 + 0*h - 2 + 7/2*h**3. Let k(l) = 0. Calculate l.
-1, 14
Let n be (-11)/1*(1 - 6). Let r = n - 53. What is v in -289*v**r - 24 - 21*v + 169*v + 109*v**2 = 0?
2/9, 3/5
Let x(a) = 60 - 213*a**2 - 5 + 44*a + 28 + 215*a**2. Let b be x(-20). Factor 0*g**2 + 0 - 4/3*g**b - 4/3*g**5 + 8/3*g**4 + 0*g.
-4*g**3*(g - 1)**2/3
Let r(g) = 2*g**4 + 39*g**3 + 10*g**2 - 24*g + 1. Let c(p) = -p**4 + 2*p**3 + 1. Let l(k) = -3*c(k) + 3*r(k). Suppose l(u) = 0. Calculate u.
-12, -1, 0, 2/3
Let h(k) be the first derivative of k**2 + 24*k + 35. Let a be h(-11). Suppose 10*g + 11 + 4*g**a + 133 - 58*g = 0. What is g?
6
Let x(n) = 3*n**3 + 5940*n**2 + 2940300*n + 60. Let c(d) = -1. Let s(i) = -60*c(i) - x(i). Factor s(a).
-3*a*(a + 990)**2
Factor 33075/4 - 627/4*l**2 - 3/4*l**3 - 32445/4*l.
-3*(l - 1)*(l + 105)**2/4
Let z(q) be the first derivative of -q**3 - 81*q**2/2 + 840*q + 5897. Solve z(g) = 0.
-35, 8
Let m(o) be the second derivative of o**5/20 + o**4/8 - o**3 + 10*o**2 + 48*o. Let f(u) be the first derivative of m(u). Factor f(i).
3*(i - 1)*(i + 2)
Factor -4*j**2 - 296368 + 2322*j + 6334*j - 671211 - 3715317.
-4*(j - 1082)**2
Let n be 5*2 - (-25)/(175/(-14)). Factor 47 - 3*r**2 - 11 + 3*r - 22 - n.
-3*(r - 2)*(r + 1)
Let z be ((-4)/(-3) + -1)/((-9)/22167). Let a = 1931 + z. Find g such that -3*g + 11*g - 1114 - 8*g**3 + 4*g**4 + a = 0.
-1, 1
Let o(j) be the first derivative of j**7/105 - j**6/20 + j**5/15 - 25*j**2 - 63. Let f(v) be the second derivative of o(v). Solve f(d) = 0.
0, 1, 2
Let b be 3/9 - 98/(-21) - 3. What is p in 0*p**5 + 15*p**3 - 19*p**2 + 29*p**b - 3*p**5 - 2*p**5 = 0?
-1, 0, 2
Let j(b) = -8*b**3 + 28*b**2 + 14*b + 2. Let z(a) = -6*a**3 + 7*a + 1. Let r(g) = j(g) - 2*z(g). Solve r(v) = 0 for v.
-7, 0
Let y(f) be the second derivative of -f**7/42 - 36*f**6/5 + f**5/20 + 18*f**4 + 1168*f - 3. Find l, given that y(l) = 0.
-216, -1, 0, 1
Let u = 86790211/252 + -344405. Let q = u - 1/36. Determine x so that -2/7*x**3 + 0*x + q*x**2 + 0 - 2/7*x**4 = 0.
-2, 0, 1
Let u be (-22)/33*6*2/(-4). Factor o**4 + 3*o**3 - 5*o**u - 30*o + 10*o**2 + 4*o**4 + 17*o**3.
5*o*(o - 1)*(o + 2)*(o + 3)
Let d(b) = -16*b**3 + 53*b**2 + 14*b - 7. Let h(w) = 65*w**3 - 212*w**2 - 78*w + 27. Let i(q) = -18*d(q) - 4*h(q). Suppose i(a) = 0. Calculate a.
-3/14, 1, 3
Let j(l) be the third derivative of -l**6/160 + l**5/80 + 195*l**2 + 1. Suppose j(w) = 0. Calculate w.
0, 1
Let z(j) be the third derivative of 2*j**5/105 + 391*j**4/84 - 14*j**3/3 - 953*j**2. Solve z(r) = 0.
-98, 1/4
Let k(z) be the third derivative of -3/32*z**4 + 0*z + 7/12*z**3 - 64*z**2 + 1/240*z**5 + 0. Determine r so that k(r) = 0.
2, 7
Find n such that 0 - 6256*n**2 + 275/3*n**3 - 6348*n - 1/3*n**4 = 0.
-1, 0, 138
Determine d so that 51476*d - 4*d**4 - 432*d**3 - 3092*d + 2631*d**2 - 8540*d**2 - 4859*d**2 - 50176 = 0.
-56, 2
Let x be 68*1*(2 + -3). Let t = -64 - x. Factor -10*o**2 + 32*o + t*o**2 + 17*o**2 + 5*o**2 + 2*o**3.
2*o*(o + 4)**2
Let x(g) be the second derivative of -g**6/45 - g**5/10 + g**4/3 + 8*g**3/9 + 2*g + 1349. Let x(a) = 0. What is a?
-4, -1, 0, 2
Let r(c) be the second derivative of -c**7/1680 - 77*c**6/480 + 49*c**4/4 + 13*c - 1. Let f(b) be the third derivative of r(b). Find u, given that f(u) = 0.
-77, 0
Let x(a) be the first derivative of -2*a**5/15 - 29*a**4/12 - 7*a**3/3 + 131*a**2/2 - 17. Let r(g) be the second derivative of x(g). What is n in r(n) = 0?
-7, -1/4
Let f(i) be the third derivative of -i**7/70 + i**6/20 + 12*i**5/5 + 3473*i**2. Factor f(a).
-3*a**2*(a - 8)*(a + 6)
Let k(t) = 1. Let w(n) = 4*n**2 - 56*n + 6. Let q(r) = -4*r**3 - 8*r**2 + 1. Let a be q(-2). Let u(s) = a*w(s) - 6*k(s). Determine m, given that u(m) = 0.
0, 14
Let q be 30/(-50) + 1120/1575. Let m(d) be the first derivative of 4 + 4/3*d - q*d**2 - 2/27*d**3. Let m(o) = 0. What is o?
-3, 2
Factor 296*u + 23*u**4 + 15*u**4 - 50*u**3 + 35*u**4 - 48*u**4 - 64 - 276*u**2 - 120*u**3.
(u - 8)*(u + 2)*(5*u - 2)**2
Let z(w) be the third derivative of 0*w + 0 + 1/20*w**6 - 1/15*w**5 + 0*w**7 + 0*w**3 - 40*w**2 + 0*w**4 - 1/168*w**8. Factor z(r).
-2*r**2*(r - 1)**2*(r + 2)
Let t(j) be the third derivative of -j**5/210 + 9*j**4/14 + 16*j**3/3 + 1714*j**2 + j. Determine x, given that t(x) = 0.
-2, 56
Let j be (-53 - (9 - 15 - 2))*(-18)/27. Factor -5/4*m**2 + j - 25/2*m.
-5*(m - 2)*(m + 12)/4
Suppose 9 + 0 = 9*d. Suppose v - d = 0, -3*j - j - v + 49 = 0. Suppose 5*n**4 + 14*n**5 - 18*n**5 - 3*n**4 - 6*n**4 + j*n**3 + 20*n**2 + 8*n = 0. What is n?
-1, 0, 2
Let p(f) = -95*f**2 + 125*f - 430. Let i(t) = -86*t**2 + 125*t - 429