 + 5*d**2 + 10*d + 151 - 469 = 0.
-12, 10
Suppose 0 = y - 8 - 13. What is z in 114 - 231 - 12*z - 36*z**2 + 117 + y*z**3 = 0?
-2/7, 0, 2
Let m(l) be the third derivative of -l**5/120 - 25*l**4/24 + 53*l**3/4 + 1032*l**2. Factor m(x).
-(x - 3)*(x + 53)/2
Let a be -7 - (81070/(-11457) + 6/(-171)). Factor -25/9 - a*v**4 - 46/9*v**2 + 4/3*v**3 + 20/3*v.
-(v - 5)**2*(v - 1)**2/9
Let g(b) be the third derivative of b**5/60 + b**4/8 - 2*b**3/3 - b**2 - 795*b. Factor g(i).
(i - 1)*(i + 4)
Let z = -216/13 - -549/26. Factor -3/2*d**3 + 15/2*d**2 + z - 21/2*d.
-3*(d - 3)*(d - 1)**2/2
Suppose -2*y = 3*k - 0 - 8, -3*y + 11 = 4*k. Let p(o) = 7*o - 4. Let q be p(y). Solve -851*r**q - 8*r**4 - 8*r**5 - r**5 + 3*r**5 + 859*r**3 = 0 for r.
-2, 0, 2/3
Let u(v) be the first derivative of -486/5*v + 16/5*v**3 + 27/2*v**2 - 84 + 3/20*v**4. Factor u(d).
3*(d - 2)*(d + 9)**2/5
Let l(a) = 16*a**2 - 4734*a + 945684. Let w(z) = 5*z**2 - 1579*z + 315227. Let i(u) = -3*l(u) + 10*w(u). Factor i(v).
2*(v - 397)**2
Find w, given that 272/11 + 150/11*w**2 - 2/11*w**4 + 44*w - 64/11*w**3 = 0.
-34, -1, 4
Let t(h) be the second derivative of -h**6/90 - 17*h**5/30 - 277*h**4/36 - 86*h**3/3 + 138*h**2 + h + 705. Let t(r) = 0. What is r?
-23, -6, 1
Factor 2/13*l**3 + 816/13*l**2 + 1620/13 + 2434/13*l.
2*(l + 1)*(l + 2)*(l + 405)/13
Let k(u) be the third derivative of -5*u**8/1008 - 4*u**7/105 + u**6/60 + 4*u**5/9 - 19*u**4/24 - 9559*u**2. Let k(n) = 0. What is n?
-19/5, -3, 0, 1
Let y = -93 - -145. Let -14*n**3 - 62*n**2 + 9*n**3 + y*n**2 + 35*n - 20 = 0. What is n?
-4, 1
Let w(k) be the first derivative of -3*k**4/28 + 148*k**3/7 - 8640*k**2/7 + 62208*k/7 + 1856. Factor w(t).
-3*(t - 72)**2*(t - 4)/7
Let d be 421 + -354 - 1104/18. Find t, given that -d + 17/3*t**2 + 1/3*t**3 - 1/3*t = 0.
-17, -1, 1
Factor -68860*v + 68255*v + 4*v**2 - 9*v**2 + 610.
-5*(v - 1)*(v + 122)
Let z(m) be the second derivative of 3*m**5/80 + 11*m**4/8 + 9*m**3 + 11*m + 415. Factor z(q).
3*q*(q + 4)*(q + 18)/4
Let f(j) be the second derivative of j**5/100 + j**4/12 - 37*j**3/15 + 12*j**2 + 6289*j. Factor f(q).
(q - 5)*(q - 2)*(q + 12)/5
Let z(n) be the second derivative of n**6/720 - 3*n**4/16 + 5*n**3/3 + n**2 + 40*n. Let b(i) be the second derivative of z(i). Let b(k) = 0. Calculate k.
-3, 3
Factor -1/4*n**5 - 5/2*n**4 + 0*n + 0 - 14*n**2 + 13*n**3.
-n**2*(n - 2)**2*(n + 14)/4
Let g(x) be the third derivative of 31*x**6/210 + 11*x**5/35 + x**4/21 - x**2 + 8*x. Determine c, given that g(c) = 0.
-1, -2/31, 0
Factor -56*k**4 - 45 + 32 - 51*k**3 - 2*k**5 + 109*k**3 + 13.
-2*k**3*(k - 1)*(k + 29)
Solve 14/11*i**5 + 262/11*i + 48/11 + 512/11*i**2 + 444/11*i**3 + 160/11*i**4 = 0.
-8, -1, -3/7
Let j be (2171/117 + -3)/((-91)/21 + 5). Let j*q + 1/3*q**2 + 1225/3 = 0. What is q?
-35
Let v = 26 - 22. Let j(a) = -a**3 - a**2. Let d(t) be the third derivative of 2*t**5/15 + 23*t**2. Let p(c) = v*j(c) + d(c). Factor p(w).
-4*w**2*(w - 1)
Let n be (-4 - 114/(-14)) + (163 - 167). Factor 0 - n*s**3 + 5/7*s**2 - 4/7*s.
-s*(s - 4)*(s - 1)/7
Factor 21/4*f**4 + 5/4*f**3 + 0*f + 0 + f**5 + 0*f**2.
f**3*(f + 5)*(4*f + 1)/4
Find g such that 2169*g - 2143*g - 245*g**2 + 220*g**2 - 1 = 0.
1/25, 1
Suppose -79*f = -75*f + 20, 37 = 4*y - 5*f. Let j(x) be the second derivative of -y*x - 1/45*x**5 - 1/135*x**6 + 0*x**2 + 0 + 0*x**3 + 0*x**4. Factor j(v).
-2*v**3*(v + 2)/9
Let g(d) be the third derivative of 0 + 1/540*d**5 + 9*d**2 - 17*d + 3025/54*d**3 - 55/108*d**4. Determine p so that g(p) = 0.
55
Let h(l) be the third derivative of -4/19*l**3 + 0 - 1/1140*l**6 + 1/570*l**5 - 3*l - 59*l**2 + 2/57*l**4. What is m in h(m) = 0?
-3, 2
Let i = -4676/9 - -15587/30. Let p(d) be the third derivative of -i*d**5 + 0 - 13/18*d**4 + 0*d + 3*d**2 - 169/9*d**3. Find o such that p(o) = 0.
-13
Suppose -2*n + 46*v + 277 = 45*v, -428 = -3*n + 4*v. Let h be (68/n)/((-17)/(-84)). Factor h*s**2 - 98/17*s**3 + 8/17 + 48/17*s.
-2*(s - 1)*(7*s + 2)**2/17
Let r(j) be the second derivative of -6561*j**7/35 - 64881*j**6/25 - 77679*j**5/25 + 9437*j**4/15 - 719*j**3/15 + 9*j**2/5 + 9945*j. Solve r(q) = 0 for q.
-9, -1, 1/27
Let a(u) be the first derivative of -u**6/180 + u**5/60 + u**4/6 - 8*u**3/3 - 2*u**2 - 7. Let c(p) be the third derivative of a(p). Factor c(q).
-2*(q - 2)*(q + 1)
Suppose 0*i + 10/7*i**2 - 22/7*i**3 - 2/7*i**5 + 0 + 2*i**4 = 0. Calculate i.
0, 1, 5
Let d(z) be the third derivative of -3*z**6/80 + 421*z**5/120 - 547*z**4/24 - 22*z**3 + 4*z**2 + 3*z - 1. What is q in d(q) = 0?
-2/9, 3, 44
Let f(t) = -t**2 + 14*t - 24. Let k(a) = 5*a + 47. Let j be k(-7). Let n be f(j). Factor 1/3*x**5 + n + 0*x**3 + 1/3*x**4 + 0*x + 0*x**2.
x**4*(x + 1)/3
Let p = 151/15 + -47/5. Let u = -2/24173 - -48352/72519. Factor -u*n**2 + p*n + 4.
-2*(n - 3)*(n + 2)/3
Find p such that -2493 - 3566 - 810*p - 101 - 5*p**2 = 0.
-154, -8
Let q(w) = -w**3 + 14*w**2 + 39*w + 24. Let y(k) = 2*k**3 - 13*k**2 - 38*k - 23. Let m(c) = -3*q(c) - 4*y(c). Suppose m(a) = 0. What is a?
-1, 4
Let n be ((120/(-96))/(475/(-57)))/(4/50). Let -21/8*x**2 + n*x**5 - 15/8*x**3 + 21/8*x**4 + 0*x + 0 = 0. What is x?
-7/5, -1, 0, 1
Let r be (18/15)/((5/(-2))/(4650/(-744))). Let u be 2/((-4)/6) + 5. Factor -r*q + 9/4*q**3 - 3*q**u + 0.
3*q*(q - 2)*(3*q + 2)/4
Let f be (-6)/39*(-13)/(7 + 6). Let b(s) be the second derivative of -12*s - 1/78*s**4 - 1/13*s**3 + 0 - f*s**2. Factor b(l).
-2*(l + 1)*(l + 2)/13
Let n(j) = j**3 + 27*j**2 - 96*j - 40. Let s be n(-30). Let w be (4/30)/(1267/s + -9). Factor -2/3*u**2 + w*u - 8/3.
-2*(u - 2)**2/3
Suppose -31*b - 668 = -367 - 1975. Solve 0 + b*p**3 + 24*p**4 + 18/5*p**5 + 48*p**2 + 72/5*p = 0.
-3, -2, -1, -2/3, 0
Let m = 28408 - 28406. Let -1/2*z + 1/6*z**m - 5/3 = 0. What is z?
-2, 5
Let y(b) be the second derivative of b**5/40 - 83*b**4/24 + 530*b**3/3 - 4300*b**2 - 8*b - 317. Solve y(f) = 0.
20, 43
Let f = -605428799/576 - -1051092. Let l = 7/64 + f. Determine j, given that -8/9*j**3 + 10/9*j - 2/9*j**5 + 8/9*j**4 - l*j**2 - 4/9 = 0.
-1, 1, 2
Let s = 51496/38613 - 4/12871. Determine q so that -s*q**2 + 4 - 2/3*q = 0.
-2, 3/2
Let r be 1/(-4) - 8/(-32)*1633. Solve -1061208*q - r*q**3 - 31212*q**2 - 5*q**4 - 4181377 + 3*q**4 - 9349025 = 0 for q.
-51
Suppose 2*l - 11 - 1 = 0. Let k be (2/4)/((l/(-8))/(-3)). Factor -4*r**3 + 30*r + 31*r - 45*r + k*r**4 - 8*r**2.
2*r*(r - 2)**2*(r + 2)
Let s be (-250)/55 - 37412/(-4378). Let 7/4*v**2 - 1 - 15/8*v**3 - 9/8*v**s + 3/2*v = 0. Calculate v.
-2, -1, 2/3
Let k(n) be the second derivative of n**6/360 - 7*n**5/180 + n**4/9 - 11*n**3/6 - n**2 + 154*n. Let p(t) be the second derivative of k(t). Factor p(z).
(z - 4)*(3*z - 2)/3
Let 496/17*s**2 + 826/17*s**3 - 98/17*s**4 + 0 + 72/17*s = 0. Calculate s.
-2/7, 0, 9
Suppose -32 + 24 = -s. Suppose -6*g - s = -26. What is m in -44*m**3 + 16*m**g + 3*m**2 + 35*m**3 + 18*m**3 + 56*m**4 + 16*m**5 = 0?
-3, -1/4, 0
Let l be 3/((-15)/(-20)) + -6 + 2. Let i(w) be the third derivative of 1/120*w**6 + 12*w**2 + 2/3*w**3 + 0*w - 1/20*w**5 + 0 + l*w**4. Solve i(b) = 0.
-1, 2
Factor 136/9*z + 2/9*z**4 - 110/9*z**2 + 0 - 28/9*z**3.
2*z*(z - 17)*(z - 1)*(z + 4)/9
Determine m so that -81*m**2 + 59*m**3 + 13*m**3 + 17*m**2 + 19*m**2 - 72*m + 42*m**2 + 3*m**4 = 0.
-24, -1, 0, 1
Let n be 112 + (7 - (-2 - -6)). Let w = 251/2 - n. Factor w*j**3 - 3*j + 0 + 3/4*j**2 + 27/4*j**4.
3*j*(j + 1)**2*(9*j - 4)/4
Let -4/9*m**3 - 268/9*m + 88/9*m**2 - 40 = 0. What is m?
-1, 5, 18
Let 243/8 + 9*y - 3/8*y**2 = 0. Calculate y.
-3, 27
Let c(x) be the third derivative of x**7/2520 + x**6/108 + 2*x**5/45 - 100*x**3/3 - 33*x**2. Let u(k) be the first derivative of c(k). Factor u(t).
t*(t + 2)*(t + 8)/3
Let z(p) be the first derivative of 2*p**3/3 + p + 9. Suppose 6*i + 4 = 28. Let l(j) = 10*j**2 - j + 7. Let a(r) = i*l(r) - 28*z(r). Factor a(w).
-4*w*(4*w + 1)
Let z(s) = -5*s**5 + 5*s**4 + 4*s**3 + 4. Let g(n) = -n**3 - 1. Let p = -59 + 82. Let x = -27 + p. Let t(w) = x*g(w) - z(w). Factor t(u).
5*u**4*(u - 1)
Suppose 0 = -62*o + 13 - 1501. Let j be 296/(-185)*-4*(-20)/o. Factor 8*z**3 - 20/3*z**4 + j*z**2 + 4/3*z**5 - 32/3*z + 0.
4*z*(z - 2)**3*(z + 1)/3
Let k(d) be the first derivative of -15/2*d**4 + 124 + 18/5*d**5 + 0*d**3 - 18*d - 1/2*d**6 + 33/2*d**2. Find v, given that k(v) = 0.
-1, 1, 2, 3
Suppose 14*g 