 113780*d**2.
4*d**2*(d + 80)**2*(2*d + 1)
Let g(h) be the third derivative of -9*h + 0*h**3 + 0 - 1/120*h**5 - 1/24*h**4 + 6*h**2. Factor g(x).
-x*(x + 2)/2
Let n = 156/5065 + 857/5065. Factor 144/5 + 101*s**2 - n*s**5 + 27/5*s**4 - 219/5*s**3 - 456/5*s.
-(s - 12)**2*(s - 1)**3/5
Factor -72*f + 0 - 1/2*f**3 - 15*f**2.
-f*(f + 6)*(f + 24)/2
Suppose -175/3*i**2 - 1/3*i**4 + 500/3 - 100*i - 8*i**3 = 0. What is i?
-10, -5, 1
Suppose 2*i = 5*f - 11, -3*i + 21*f = 20*f - 3. Solve -91*o**4 - 38*o**i + 55*o**4 - 10*o**2 - 100*o**3 + 16*o = 0.
-2, -1, 0, 2/9
Let o(b) = 6*b**2 + 558*b + 1338. Let q(r) = -19*r**2 - 1615*r - 4015. Let x(u) = -7*o(u) - 2*q(u). Factor x(j).
-4*(j + 2)*(j + 167)
Let m(y) be the first derivative of -y**4/4 - 14*y**3/3 - 6*y**2 + 18*y - 17. Let x be m(-13). Factor 30*s - 74 + 70 + x*s**2 + 49.
5*(s + 3)**2
Factor 0*n**2 - 28/5*n**4 + 16/5*n**3 + 6/5*n**5 + 0*n + 0.
2*n**3*(n - 4)*(3*n - 2)/5
Let o = -5219 + 1252561/240. Let l(y) be the third derivative of 0 + 1/840*y**7 + 0*y + 0*y**6 + 0*y**3 + 0*y**4 - o*y**5 - 4*y**2. Suppose l(u) = 0. What is u?
-1, 0, 1
Let j be (-6)/14 + (-1138472)/(-31815). Let c = 179/5 - j. Suppose 0*w - c + 4/9*w**2 = 0. Calculate w.
-1, 1
Let t be (-3 - 84/(-35))/(3/(-150)). Suppose -5*x = -2*k - 10, -35*k - 25 = -5*x - t*k. Determine i so that -2/3*i - 4/15 + 4/15*i**4 + x*i**2 + 2/3*i**3 = 0.
-2, -1, -1/2, 1
Let g(k) be the second derivative of 5*k**7/21 - 43*k**6/15 - 8*k**5/5 + 84*k**4 + 144*k**3 - 432*k**2 + 124*k - 6. Solve g(n) = 0.
-2, 3/5, 6
Let o be 2812/(-76) - -63 - 358/14. Factor 0 + 0*n**2 - 3/7*n + o*n**3.
3*n*(n - 1)*(n + 1)/7
Solve 15*w**2 - 5 + 85 + 118 - 9*w**2 - 135*w + 102 = 0.
5/2, 20
Let i(d) = -d**2 - 211*d. Let t(p) = 8*p**2 + 1478*p. Let z(h) = 22*i(h) + 3*t(h). Suppose z(u) = 0. Calculate u.
0, 104
Solve -101*q**4 + 711*q + 195*q**3 - 516*q**2 - 594*q + 89*q**4 = 0.
0, 1/4, 3, 13
Let t(u) be the third derivative of -u**5/50 + 133*u**4/30 + 89*u**3/15 - 97*u**2. Let t(n) = 0. Calculate n.
-1/3, 89
Let t(p) be the second derivative of -p**4/12 + 7*p**3/2 - 10*p**2 - 5*p - 75. Factor t(d).
-(d - 20)*(d - 1)
Let n = -688 + 687. Let z be 338*n/(-285) - 176/1320. What is w in -2/19*w**4 + 0*w - 50/19*w**2 - z*w**3 + 0 = 0?
-5, 0
Let d(k) = 30*k**2 - 25. Let t(g) be the first derivative of -g**4/4 + g**2/2 - g - 231. Let s(h) = -d(h) - 5*t(h). Determine y so that s(y) = 0.
-1, 1, 6
Let l be (-17)/(-5) - (185/25 + -7). Let h be l/((-15)/20) + (-24)/(-3). Solve 0 - 24/5*c**2 - 8/5*c - 6/5*c**h - 22/5*c**3 = 0 for c.
-2, -1, -2/3, 0
Let f be (((156/(-33))/(-13))/1)/(1/6). Factor -8/11 + 18/11*z**2 - f*z + 14/11*z**3.
2*(z - 1)*(z + 2)*(7*z + 2)/11
Let f(c) be the first derivative of c**7/1365 - c**5/130 - c**4/78 + 19*c**2 - 101. Let n(b) be the second derivative of f(b). Factor n(j).
2*j*(j - 2)*(j + 1)**2/13
Factor 10/11*q - 1/11*q**2 + 75/11.
-(q - 15)*(q + 5)/11
Let d(y) be the second derivative of -y**5/2 + 565*y**4/12 - 445*y**3/2 - 405*y**2 - 1483*y - 4. Factor d(p).
-5*(p - 54)*(p - 3)*(2*p + 1)
Factor -256636*d**3 - 126*d**2 - 146*d**2 + 52*d**2 + 256431*d**3 - 15*d.
-5*d*(d + 1)*(41*d + 3)
Let v be (1 - -2)/(54/72). Factor 7*q + v*q**2 - 13*q - 60*q + 14*q**3 + 34 + 26*q**2 - 12*q**3.
2*(q - 1)**2*(q + 17)
Let f(n) be the first derivative of -5*n**4/12 - 35*n**3/9 + 100*n**2/3 - 220*n/3 + 307. Factor f(c).
-5*(c - 2)**2*(c + 11)/3
Let c be (349/(-2))/(0 + (-4)/8). What is l in -c - 17*l**2 + 349 + 36*l**3 + 16*l + 97*l**2 = 0?
-2, -2/9, 0
Factor -16/7 - 10/21*z**2 - 52/21*z.
-2*(z + 4)*(5*z + 6)/21
Let n(y) be the first derivative of y**4/3 - 145*y**3/9 + 222*y**2 - 108*y + 3333. Factor n(l).
(l - 18)**2*(4*l - 1)/3
Let x(a) be the first derivative of -a**5/25 + 2*a**4/5 + 7*a**3/15 - 31*a**2/5 + 48*a/5 + 1821. Let x(r) = 0. Calculate r.
-3, 1, 2, 8
Let p(m) be the first derivative of 132 + 1/16*m**4 + 0*m - 7/12*m**3 + 0*m**2. Factor p(d).
d**2*(d - 7)/4
Let k(b) be the third derivative of -1/210*b**5 + 1/42*b**3 - 1/420*b**6 + 1/2352*b**8 - b + 19*b**2 + 1/168*b**4 + 1/1470*b**7 + 0. Let k(q) = 0. Calculate q.
-1, 1
Let p(d) be the third derivative of 8*d**7/105 + 122*d**6/3 - 2467*d**5/15 - 1690*d**4/3 - 614*d**3 - 3970*d**2. Let p(w) = 0. Calculate w.
-307, -1/2, 3
Determine f so that 2/9*f**3 + 392/9 - 68/9*f**2 + 322/9*f = 0.
-1, 7, 28
Let n = -53174/15 - -3545. Let b(s) be the third derivative of 0*s - n*s**5 + 0 - 1/6*s**4 - 12*s**2 + 0*s**3. Factor b(k).
-4*k*(k + 1)
Let k be (-130)/(-35) + 2/7. Suppose k*b - 13*b = -198. Factor -26*l**2 - l**4 - 8*l**3 - 3*l**4 + b*l**2.
-4*l**2*(l + 1)**2
Let i = 147 - 139. Determine f so that -24 - 70*f**5 - 44*f**3 - 8 + 24*f**4 + i*f**2 - 65*f**5 + 131*f**5 + 48*f = 0.
-1, 1, 2
What is t in 8/3*t + 34/3*t**4 + 8*t**5 + 0 - 8*t**2 - 14*t**3 = 0?
-2, -2/3, 0, 1/4, 1
Let h = 1680 - 1676. Let g be (-6)/15*h/((-16)/14). Factor g*p**5 - 4/5 + 33/5*p**4 + 31/5*p**2 + 0*p + 53/5*p**3.
(p + 1)**3*(p + 2)*(7*p - 2)/5
Let z(c) = 2*c**2 + 4*c - 1. Let r(h) = -9*h**2 + 1285*h + 869. Let o(q) = -r(q) - 3*z(q). Factor o(x).
(x - 433)*(3*x + 2)
Let h be 16/(64/(-12)) + 3. Let n be (h - (-15)/18)/(140/84). Let -4*m**3 + 0 - n*m**4 + 0*m - 7/2*m**2 = 0. Calculate m.
-7, -1, 0
Suppose 357 - 57 = 60*w. Suppose 7*t = 8*t + w*t. Factor 2*s**2 + 1/2*s**4 + 0 + t*s + 2*s**3.
s**2*(s + 2)**2/2
Let q(k) be the first derivative of -56 + 0*k + 0*k**2 + 0*k**4 - 1/15*k**5 + 0*k**3. Solve q(n) = 0.
0
Let o(i) be the third derivative of 5*i**5/6 + 65*i**4 - 316*i**3/3 - 6041*i**2. Solve o(u) = 0 for u.
-158/5, 2/5
Let s(r) be the first derivative of -r**3/27 - 133*r**2/3 - 1592*r/9 + 5661. What is f in s(f) = 0?
-796, -2
Let h(g) be the second derivative of 3*g**5/20 - 249*g**4/4 + 124*g**3 + 20*g + 38. Factor h(w).
3*w*(w - 248)*(w - 1)
Suppose -3*n - 4 = o - 11, -3*n = -2*o - 4. Let d be (8 + n)*(3/2 - 1). Let -621*k**2 - d*k + k + 623*k**2 + 56*k**3 = 0. What is k?
-2/7, 0, 1/4
Let i be 0/(-11 - -3 - -7). Let v(c) be the second derivative of 1/9*c**3 + 6*c + 0 - 2/45*c**6 + i*c**5 + 1/9*c**4 - 1/63*c**7 + 0*c**2. Factor v(m).
-2*m*(m - 1)*(m + 1)**3/3
Let u(c) be the third derivative of -c**8/112 - 169*c**7/70 - 501*c**6/40 - 499*c**5/20 - 83*c**4/4 + 2*c**2 + 2*c - 1345. Factor u(p).
-3*p*(p + 1)**3*(p + 166)
Let q be 0 + (-2)/4 - 42/(-12). Suppose 0 = l + 3*p - 6, 0 = 3*l - p - q*p - 44. Factor 23*y**3 + l - 71*y**3 - 24*y**2 - 3*y**5 + 40 - 21*y**4 - 4 + 48*y.
-3*(y - 1)*(y + 2)**4
Let i = -91060/21 - -455636/105. Factor -1/5*f**3 + 4/5*f + i - 4/5*f**2.
-(f - 2)*(f + 2)*(f + 4)/5
Let u = 632867/5 - 126126. Let x = u + -447. Factor x + 1/10*a**2 + 1/2*a.
(a + 1)*(a + 4)/10
Let i(s) be the third derivative of s**7/140 + 93*s**6/80 + 91*s**5/40 - 93*s**4/16 - 23*s**3 + 7*s**2 - 31. Determine z, given that i(z) = 0.
-92, -1, 1
Factor 42843*m**3 - 202*m - 41*m - 42842*m**3 - 378 - 36*m**2.
(m - 42)*(m + 3)**2
Let l be 1*(-7*(-12)/(-1050) - (-260)/125). Factor -5/2*i**2 - l*i - i**3 - 1/8*i**4 + 0.
-i*(i + 2)**2*(i + 4)/8
Let h(u) = 2*u**2 - 6*u - 20. Suppose -27*x + 157 = -302. Let t(n) = -5*n**2 + 19*n + 58. Let a(i) = x*h(i) + 6*t(i). Suppose a(s) = 0. Calculate s.
-2, -1
Let f be -7 - (-3)/(27/801). Suppose k**2 + 871 + 650 - f*k - 183 + 343 = 0. What is k?
41
Let n(o) be the third derivative of -7/108*o**4 + 0*o + 176*o**2 + 1/270*o**5 - 2/3*o**3 + 0. Find x, given that n(x) = 0.
-2, 9
Let n(a) be the second derivative of 0 - 4/21*a**7 - 2/5*a**6 + 19/5*a**5 - 2*a**4 + 0*a**2 - 96*a - 16/3*a**3. Determine p, given that n(p) = 0.
-4, -1/2, 0, 1, 2
Suppose -475 = -24*a + 365. Let s be (-2)/(-3)*(6 + (-168)/a). Find x such that 14/5*x**4 + 24/5*x**3 + 0 - s*x + 6/5*x**2 = 0.
-1, 0, 2/7
Let q(a) = -a**3 - 11*a**2 + 182*a - 273. Let s(y) = 3*y**2 + y - 1. Let f(g) = 4*q(g) - 12*s(g). Find k such that f(k) = 0.
-27, 2, 5
Determine y, given that 0 + 2*y + 8/3*y**2 + 7/6*y**3 + 1/6*y**4 = 0.
-3, -2, 0
Factor 495/4*g - 245025/8 - 1/8*g**2.
-(g - 495)**2/8
Let l(g) = 0*g - g**2 + 0*g**2 + g. Let n(q) = 0*q - 1 + 13*q**2 - 7*q**2 - q - 3*q**2 - 4*q**2. Let i(z) = -l(z) + 2*n(z). What is w in i(w) = 0?
-2, -1
Let t be 613/3065 + -1*2*(-3)/10. Let -4/5*i**3 + 0*i**2 + 0 + t*i = 0. Calculate i.
-1, 0, 1
Let t(n) be the third derivative of -20/3*n**3 - 12*n +