**l - 448/5*p + 36/5*p**g - 32/5*p**3 = 0.
-2, 2/3, 2
Let g = 1354/107 - -4/321. Let y = g + -73/6. Solve 1 - 1/2*a**2 + y*a = 0.
-1, 2
Find y, given that 65*y**2 + 37*y**3 - y - 239 - 21*y - 8*y + 14 - 47*y**3 = 0.
-3/2, 3, 5
Let m(o) be the second derivative of o**4/12 + 2*o**3/3 - 19*o**2/2 - 3*o. Let r be m(-7). What is t in -79*t**r + 40*t + 6 + 84*t**2 - 5*t**3 - 17 - 49 = 0?
-3, 2
Suppose 15 = 5*w, 0 = -4*r + 3*w + 2 + 1. Factor -2*y + 77*y**2 + 6*y**3 - 7*y**r - 74*y**2.
-y*(y - 2)*(y - 1)
Solve -1144/5*l**2 - 10*l**5 + 224/5*l + 0 - 22*l**4 + 1512/5*l**3 = 0 for l.
-7, 0, 2/5, 4
Let j(k) be the second derivative of -k**4/30 - 6*k**3/5 + 19*k**2/5 - 202*k - 4. Suppose j(n) = 0. What is n?
-19, 1
Let x(f) be the third derivative of 17/264*f**4 - 4/33*f**3 + 0*f + 1/1320*f**6 - 12*f**2 + 2 - 1/66*f**5. Suppose x(v) = 0. What is v?
1, 8
Let z be (90/(-16) + 6)*34/(-141). Let g = 110/47 + z. Find v such that -3/8*v**2 + g + 15/8*v = 0.
-1, 6
Let d(u) be the second derivative of -u**6/20 + 3*u**4/8 + u**3/2 - 1770*u. Factor d(s).
-3*s*(s - 2)*(s + 1)**2/2
Let g be 0 + (-15)/(-25) + 130/450. Factor 1/9*i**4 - 4/9 - 2/9*i**3 - 1/3*i**2 + g*i.
(i - 2)*(i - 1)**2*(i + 2)/9
Solve -2*p**4 - 819*p - 262*p**2 - 956*p - 40*p**3 - 14*p**3 + 2602*p - 1037*p = 0 for p.
-21, -5, -1, 0
Let t be 607/13961*(-2 - -2). Suppose -2*k = 2*k - 16. Suppose 1/6*q**5 - 4/3*q**3 + 0*q - 1/6*q**k + 2*q**2 + t = 0. Calculate q.
-3, 0, 2
Let w = 61099/11879 - 1/1697. Suppose -159 - 42 = -98*f - 5. Find y, given that 12/7*y**f - w*y + 0 - 1/7*y**3 = 0.
0, 6
Suppose -y - 2*u = 40, 4*y + u = 3*u - 140. Let z = y - -41. Factor -z*t**3 + 0*t**4 + t**4 + 4*t**4.
5*t**3*(t - 1)
Let a be (28/(1344/(-400)) + 7)*3/(-6)*3. Factor 14/9*f + 2/9*f**a + 0.
2*f*(f + 7)/9
Let m be -7 + -14 - (-28)/((-2184)/(-1742)). Factor -1/6*c**2 - m*c - 5/2.
-(c + 3)*(c + 5)/6
Let l be (-25)/(-1550)*(462/(-9))/(-7). Let g = 71/186 + l. Factor -1/2*m**3 + 1/2*m + g - 1/2*m**2.
-(m - 1)*(m + 1)**2/2
Determine q so that 13/3*q**3 + 0 + 4*q - 1/6*q**4 - 49/6*q**2 = 0.
0, 1, 24
Let w(q) be the third derivative of 0*q**3 - 7/6*q**4 - 1/15*q**5 - 99*q**2 + 0*q + 0. Factor w(t).
-4*t*(t + 7)
Factor 20/3*g**3 - 5/3*g**4 - 5/3*g**2 + 0 - 10*g.
-5*g*(g - 3)*(g - 2)*(g + 1)/3
Let u(o) be the first derivative of -o**4/14 - 16*o**3/21 + 221*o**2/7 + 456*o/7 - 3522. Factor u(v).
-2*(v - 12)*(v + 1)*(v + 19)/7
Let n = 24 + 2. Suppose -3*o + 46 = -b + 5*b, -o = 4*b - n. Factor 2*t - 2*t**2 + 169 + o*t - 187.
-2*(t - 3)**2
Suppose 0*p + 54 = -2*p + 3*k, -81 = 3*p - 2*k. Let x = -22 - p. Factor -10*y**2 - 5*y**3 + x*y**4 + 0*y**4 + 16 - 16.
5*y**2*(y - 2)*(y + 1)
Let p(z) be the first derivative of 2*z**3/21 - 21*z**2 + 292*z/7 - 12361. Factor p(j).
2*(j - 146)*(j - 1)/7
Let j(g) = -9*g**3 + 33*g**2 + 56*g - 172. Let v(u) = 26*u**3 - 97*u**2 - 169*u + 518. Let t(l) = -11*j(l) - 4*v(l). Factor t(i).
-5*(i - 6)*(i - 2)*(i + 3)
Let p = 73 - 81. Let g = p + 12. Let -v**4 + 8*v + 9*v**2 - 3*v**3 + 11 - 5 - 2*v**g + 7*v = 0. Calculate v.
-1, 2
Let x(l) be the first derivative of -l**6/39 - 48*l**5/65 - 165*l**4/26 - 484*l**3/39 - 685. Suppose x(b) = 0. Calculate b.
-11, -2, 0
Let i be (-8)/(-15)*(-286)/(-5720). Let s(q) be the first derivative of 0*q + 1/30*q**4 - 1/15*q**2 + i*q**5 - 11 - 2/45*q**3. Let s(c) = 0. Calculate c.
-1, 0, 1
Let t(n) be the second derivative of 2*n - 1/14*n**7 + 10*n**4 + 38 + 0*n**2 + n**6 - 99/20*n**5 - 8*n**3. Determine m, given that t(m) = 0.
0, 1, 4
Let s(k) be the third derivative of -1/756*k**8 - 8/27*k**4 + 0*k**7 + 0 + 0*k + 0*k**5 + 0*k**3 + 4/135*k**6 + 101*k**2. Solve s(v) = 0 for v.
-2, 0, 2
Let r(m) be the second derivative of m**5/100 - 7*m**4/30 + 7*m**3/6 - 11*m**2/5 + 44*m. Factor r(k).
(k - 11)*(k - 2)*(k - 1)/5
Factor 13109784*a**3 + 170 + 87*a - 13109785*a**3 - 16*a**2 - 68*a**2.
-(a - 2)*(a + 1)*(a + 85)
Let r(f) be the second derivative of f**7/28 + 3*f**6/20 - 111*f**5/40 - 191*f**4/8 - 66*f**3 - 84*f**2 - 96*f - 3. Solve r(w) = 0 for w.
-4, -1, 7
Let r(h) be the first derivative of h**4 + 692*h**3/3 + 684*h**2 + 929. Solve r(g) = 0.
-171, -2, 0
Let u = 35595 - 143747/4. Let b = u + 342. Factor 1/4*d - 1/4*d**4 + b*d**2 - 1/4*d**3 + 0.
-d*(d - 1)*(d + 1)**2/4
Let t = -17749 - -17752. Let j(c) be the third derivative of -26*c**2 + 3/10*c**5 + 1/40*c**6 + 3*c**t + 0 + 0*c + 11/8*c**4. Factor j(q).
3*(q + 1)*(q + 2)*(q + 3)
Let q(l) = -19*l**4 - 7*l**3 - 24*l**2 - 9*l + 9. Let r(x) = -2*x**4 - x**2 + 1. Let s(a) = -q(a) + 9*r(a). Factor s(i).
i*(i + 1)*(i + 3)**2
Factor 3*g + 1/7*g**3 - 12/7*g**2 - 10/7.
(g - 10)*(g - 1)**2/7
Let j(i) be the third derivative of 50*i**4 - 5/12*i**6 + 0*i + 480*i**3 + 1/42*i**7 - 5 - 23/12*i**5 + 2*i**2. Let j(r) = 0. What is r?
-3, 8
Let q = 2/3259 + 9077/1140650. Let h(p) be the third derivative of -q*p**7 + 1/50*p**6 + 0*p**3 - 1/560*p**8 + 0 + 0*p**4 - 27*p**2 + 0*p + 0*p**5. Factor h(i).
-3*i**3*(i - 1)*(i + 4)/5
Let t(k) be the second derivative of k**5/570 - 7*k**4/228 + 4*k**3/19 - 78*k**2 + 19*k + 1. Let q(m) be the first derivative of t(m). Factor q(v).
2*(v - 4)*(v - 3)/19
Let l be 31/((-25)/15 + 2). Let g be (5 + l/(-18))/(2/(-4)). Let 1/3*n**4 + n**3 - n - 2/3 + g*n**2 = 0. What is n?
-2, -1, 1
Let u(h) be the first derivative of 5*h**6/6 - 10*h**4 - 10*h**3 + 35*h**2/2 + 30*h - 3923. Let u(q) = 0. What is q?
-2, -1, 1, 3
Let y(r) = -9*r**3 + 10 - 26*r**3 + 35*r**2 + 5*r**4 + 10 - 5*r. Let x(b) = -b**4 + b**3 + 1. Let d = 125 + -105. Let f(q) = d*x(q) - y(q). Factor f(w).
-5*w*(w - 1)**2*(5*w - 1)
Let n(x) be the third derivative of -x**8/168 + 4*x**7/105 + x**6/4 - 7*x**5/15 - 7*x**4/3 + 8*x**3 + 2*x**2 - 4459*x. Determine y so that n(y) = 0.
-2, 1, 6
Let x(w) be the first derivative of w**5/180 + 17*w**4/36 - 35*w**3/18 + w**2/2 - 60*w + 64. Let m(q) be the second derivative of x(q). Factor m(j).
(j - 1)*(j + 35)/3
Suppose -126 + 161 = 4*g - 5*a, 2*a + 14 = -g. Factor g + 1/6*o**3 + 0*o - 13/6*o**2.
o**2*(o - 13)/6
Let c = 122531/3 - 40801. Find f such that 32 + 2/9*f**4 + 32/9*f**3 + c*f + 176/9*f**2 = 0.
-6, -2
Let y(o) be the third derivative of -o**7/630 + o**6/18 - 8*o**5/15 + 5*o**4/8 - o**3/3 + 3*o**2 - 14*o. Let d(f) be the second derivative of y(f). Factor d(n).
-4*(n - 8)*(n - 2)
Let v(x) be the second derivative of x**5/20 + 7*x**4/12 + 13*x**3/6 + 3*x**2 + 8*x. Let c be v(-4). Let 19*o + 49*o**2 - 2*o**c - 6 - 11*o**2 = 0. Calculate o.
-3/4, 2/9
Suppose -2*k = -5*b + 21, -2*k + 7*k + 18 = b. Let d(x) be the first derivative of 2/3*x + 2/3*x**2 - 13 + 2/9*x**b. Factor d(c).
2*(c + 1)**2/3
Let c(a) = 2*a**2 - 11*a + 7. Let b be c(5). Factor 46*h - 14*h**3 + 66*h + 19*h - 216*h**b - 32*h - 12 + 62*h**3.
3*(h - 4)*(4*h - 1)**2
Let c(p) be the first derivative of p**5/30 + 7*p**4/6 + 11*p**3 - 121*p**2/3 - 93*p - 83. Let y(g) be the first derivative of c(g). Find b such that y(b) = 0.
-11, 1
Let s(o) be the third derivative of o**6/1200 - o**5/50 - o**4/240 + o**3/5 - 1169*o**2. Solve s(t) = 0.
-1, 1, 12
Let j be (-12)/(-54) - 408/(-351). Suppose -c + n + 2 = 0, -c + 2*n + 7 = 5. Suppose -8/13*f**c + 74/13*f - j = 0. Calculate f.
1/4, 9
Let z(i) be the first derivative of 9*i**4 + 220*i**3 + 416*i**2 + 272*i + 449. What is a in z(a) = 0?
-17, -2/3
Determine s, given that -12*s + 14/5*s**5 - 182/5*s**2 + 102/5*s**4 + 0 + 126/5*s**3 = 0.
-5, -3, -2/7, 0, 1
Let a(n) be the first derivative of n**6/2 + 6*n**5/5 - 45*n**4/2 + 40*n**3 + 87*n**2/2 - 126*n - 3068. Solve a(r) = 0 for r.
-7, -1, 1, 2, 3
Let a(d) be the first derivative of 1/300*d**6 + 5/4*d**4 + 0*d**2 + 0*d + 1/10*d**5 + 29 + 14/3*d**3. Let u(v) be the third derivative of a(v). Factor u(k).
6*(k + 5)**2/5
Let k(w) be the second derivative of 5/3*w**4 + 1/6*w**6 + 24 + w**5 + 2*w + 0*w**2 + 0*w**3. Suppose k(i) = 0. What is i?
-2, 0
Let j = 35959/15 - 2397. Let o(c) be the second derivative of -1/30*c**4 + j*c**3 - 13*c - 4/5*c**2 + 0. Let o(a) = 0. Calculate a.
2
Let d(b) = 39*b**3 - 42*b**2 + 72*b - 63. Let j(z) = 43*z**3 - 44*z**2 + 73*z - 64. Let u(x) = -10*d(x) + 9*j(x). What is k in u(k) = 0?
2, 3
Let r(v) be the third derivative of -v**7/210 + 3*v**6/10 - 191*v**5/60 + 14*v**4 - 30*v**3 - 6482*v**2. Let r(c) = 0. Calculate c.
1, 2, 3, 30
Let y(g) = g**3