+ 19*d**6/40 + 17*d**5/20 - 19*d**4/8 - 9*d**3 - 50*d**2 + 6*d. Factor q(i).
3*(i - 1)*(i + 1)**2*(i + 18)
Let j(q) be the second derivative of -q**6/60 - 3*q**5/20 + q**4/8 + 5*q**3/3 + 3*q**2 - 75*q - 4. Factor j(z).
-(z - 2)*(z + 1)**2*(z + 6)/2
Let k(v) = -v**3 - v**2 - v + 13. Let p be k(0). Let x be 0 + 1 - -1 - -1. Factor 2*a - a**4 + 4*a**x + 4*a**2 + 4*a**2 - p*a**2.
-a*(a - 2)*(a - 1)**2
Let a = 5/921 - -7333/6447. What is f in -a*f**3 + 0*f**4 + 6/7*f - 4/7 + 2/7*f**5 + 4/7*f**2 = 0?
-2, -1, 1
Let r(a) be the second derivative of -a**7/39 + 2*a**6/13 + 38*a**5/65 - 4*a**4/13 + 149*a. Let r(m) = 0. Calculate m.
-2, 0, 2/7, 6
Suppose 5 = -2*z + 9. Let 0 - 8 - 20*x**z + 3*x**3 - x**3 + 18*x + 8*x**2 = 0. What is x?
1, 4
Let g(a) be the second derivative of a**7/20160 + a**6/2880 + a**5/960 + a**4/12 + 2*a. Let z(f) be the third derivative of g(f). What is t in z(t) = 0?
-1
Let q(l) be the third derivative of -l**6/160 + 11*l**5/80 - 9*l**4/16 - 17*l**2. Find v such that q(v) = 0.
0, 2, 9
Let v = 61 - 55. Let i(q) be the third derivative of 1/40*q**v + 1/20*q**5 - 1/2*q**3 - 1/8*q**4 - 5*q**2 + 0 + 0*q. Suppose i(j) = 0. Calculate j.
-1, 1
Let o(p) = -3*p + 8. Let k be o(2). Suppose k*m = 8*m. Factor m*a + 0 + 0*a**2 - 1/7*a**3 + 1/7*a**4.
a**3*(a - 1)/7
Let g(b) = 3*b - 12. Suppose r = -2*c + 3*r + 2, 2*c = -2*r + 14. Let t be g(c). Let t*y - 2/3*y**5 - 2/3*y**4 + 0*y**2 + 0 + 4/3*y**3 = 0. Calculate y.
-2, 0, 1
Suppose 57*f - 30 = 42*f. Let h(p) be the third derivative of -1/60*p**5 + 0*p - 2*p**f + 1/24*p**4 - 1/120*p**6 + 0 + 1/6*p**3. Suppose h(q) = 0. Calculate q.
-1, 1
Let m(v) be the second derivative of -v**7/21 + 5*v**6/3 + v - 62. Determine j so that m(j) = 0.
0, 25
Let t be 64/12*6/4. Solve -3*s + 12*s**4 - 3*s**5 + 9*s**3 + t*s**5 + 2*s**2 + 3*s = 0.
-1, -2/5, 0
Suppose 2 = -2*c, -5*c - 26 + 6 = -3*r. Let m(y) be the third derivative of 2*y**2 + 1/15*y**r + 1/30*y**6 - 1/3*y**4 + 0 + 0*y**3 + 0*y. Factor m(n).
4*n*(n - 1)*(n + 2)
Let y(u) be the first derivative of u**4/10 - 2*u**3/15 - 16*u**2/5 + 32*u/5 + 55. Factor y(q).
2*(q - 4)*(q - 1)*(q + 4)/5
Let k(d) be the first derivative of d**5/5 - 3*d**4/4 - d**3 + 7*d**2/2 + 6*d + 63. Let k(h) = 0. Calculate h.
-1, 2, 3
Let l be (-3)/((-3)/8) - 90240/11985. Factor 88/17*b - 242/17*b**2 - l.
-2*(11*b - 2)**2/17
Factor -14*z**2 - 16 - 6*z**3 + 8*z - 7*z**3 + 21*z**3 - 6*z**3 + 20*z.
2*(z - 4)*(z - 2)*(z - 1)
Let u(t) = -t**2 + 15*t - 34. Let a be u(12). Let 0*k**3 - 2*k**2 + 2 - a*k + 0*k**3 + 5*k**3 - 3*k**3 = 0. Calculate k.
-1, 1
Let r(d) = 2*d**3 + 3*d**2 - 14*d - 6. Let p(s) = -6*s**3 - 8*s**2 + 40*s + 17. Let v(n) = 6*p(n) + 17*r(n). Factor v(y).
-y*(y - 2)*(2*y + 1)
Factor -1/6*j**3 - 20/3*j**2 - 19/3 - 77/6*j.
-(j + 1)**2*(j + 38)/6
Let g(d) be the third derivative of d**6/40 - 3*d**5/10 + 3*d**4/2 - 4*d**3 - 11*d**2. Factor g(h).
3*(h - 2)**3
Let 0 + 0*y**2 - 72*y**3 + 0*y - 1/2*y**5 + 12*y**4 = 0. Calculate y.
0, 12
Let r(d) be the second derivative of -d**7/23940 + d**6/3420 - d**5/1140 + d**4/6 - 4*d. Let y(i) be the third derivative of r(i). Factor y(m).
-2*(m - 1)**2/19
Let o(f) be the second derivative of 3*f**5/160 - 3*f**3/16 - 3*f**2/8 + 411*f. Factor o(m).
3*(m - 2)*(m + 1)**2/8
Let u(o) be the second derivative of o**4/144 + o**3/72 - 5*o**2/4 + 352*o - 1. Solve u(h) = 0 for h.
-6, 5
Let l(f) = -9*f**3 + 24*f**2 + 6. Let i(t) = -t**3 + t**2 + 1. Let n(p) = -6*i(p) + l(p). Factor n(y).
-3*y**2*(y - 6)
Let t(z) = z**4 + z**2 - z. Let o be (28/(-4) - -4) + -2. Let s(f) = 2*f**4 + 3*f**3 + 14*f**2 - 20*f + 6. Let v(b) = o*t(b) + s(b). Find h such that v(h) = 0.
-2, 1
Factor -18/11*j**3 + 0 + 6/11*j**2 + 12/11*j.
-6*j*(j - 1)*(3*j + 2)/11
Find m, given that -4 + 6/5*m**2 + 58/5*m = 0.
-10, 1/3
Let j(z) be the first derivative of -2/5*z**5 - 5 + 2*z**2 + 2*z**4 + 0*z - 10/3*z**3. Factor j(n).
-2*n*(n - 2)*(n - 1)**2
Let k(y) be the first derivative of -7*y**3 + 9*y**2 - 105. Factor k(n).
-3*n*(7*n - 6)
Let s(z) be the third derivative of z**9/68040 - z**7/3780 - z**6/1620 + 5*z**4/8 - 10*z**2. Let x(u) be the second derivative of s(u). Factor x(d).
2*d*(d - 2)*(d + 1)**2/9
Suppose 19*f = 25*f - 30. Let l(t) = -2*t + 2*t + t + 5 - 6*t**2. Let r(c) = -3*c**2 + c + 2. Let b(m) = f*r(m) - 2*l(m). Let b(j) = 0. Calculate j.
0, 1
Determine s so that 4*s**2 + 32 + 3*s**2 - 24*s + 60*s - 3*s**2 = 0.
-8, -1
Let n be (36/189)/((-27)/(-504)). Factor -92/9*k**2 + 32*k - 18 - n*k**3 - 2/9*k**4.
-2*(k - 1)**2*(k + 9)**2/9
Let z be 2*3*6/234. Let u = 8109 + -105415/13. Factor -z*y**2 - 4/13*y**3 + 0*y + 0 - u*y**4.
-2*y**2*(y + 1)**2/13
Let f = -8/67 - -1358/1273. Factor -6/19*q**3 - 34/19*q**2 - 42/19*q + f.
-2*(q + 3)**2*(3*q - 1)/19
Let m = 1/2508 + 557/836. Let i = 8 - 4. Find f such that 2/3*f**i + m*f + 2*f**2 + 0 + 2*f**3 = 0.
-1, 0
Let c(j) be the first derivative of j**8/560 + j**7/56 + j**6/15 + j**5/10 - 12*j**3 + 37. Let y(t) be the third derivative of c(t). Factor y(l).
3*l*(l + 1)*(l + 2)**2
Factor 483*w**2 - 495*w**2 - 5*w - 22*w.
-3*w*(4*w + 9)
Suppose 3*m + 16 = 1. Let w be (-18)/(-10) + m/(-25). Determine t, given that t**3 + t**3 + 0*t**3 + t**w + t**4 = 0.
-1, 0
Let v(p) = -p**2 - 6*p - 4. Let y be v(-4). Suppose 4*t - 12 = -4*w, -2*t + 19 - 7 = y*w. Let 2/9*j**4 + 0 - 4/9*j**w + 0*j + 2/9*j**2 = 0. What is j?
0, 1
Let m(u) = -10*u**3 + 9*u**2 + 10*u - 9. Let c(n) = n**3 - n**2 - n + 1. Let i be (1665/6)/15 + 1/(-2). Let v(z) = i*c(z) + 2*m(z). Factor v(h).
-2*h*(h - 1)*(h + 1)
Let q(b) = 5*b**2 - 194*b + 9218. Let g(r) = 27*r**2 - 971*r + 46091. Let d(c) = -2*g(c) + 11*q(c). Determine j, given that d(j) = 0.
96
Factor 0*u + 0 - 2*u**3 + 12/5*u**2 + 2/5*u**4.
2*u**2*(u - 3)*(u - 2)/5
Suppose 19 + 5 = 3*h. Suppose -38*t = -34*t - h. Solve -10*k**3 + t*k**3 + 6*k**3 = 0.
0
What is h in 2/3*h**4 - 26/9*h**3 - 32/3*h - 94/9*h**2 - 32/9 + 2/9*h**5 = 0?
-4, -1, 4
Solve 4*o**4 + 2*o**3 - 4*o**5 + 0*o**4 + 2*o**5 + 4*o**3 = 0 for o.
-1, 0, 3
Let c(p) = -11*p**2 + 227*p - 185. Let k(y) = -20*y**2 + 453*y - 367. Let a(n) = -5*c(n) + 3*k(n). Determine t, given that a(t) = 0.
4/5, 44
Let y(w) be the first derivative of w**6/120 + 3*w**5/10 + 9*w**4/2 - 43*w**3/3 - 17. Let p(q) be the third derivative of y(q). Let p(m) = 0. What is m?
-6
Let h = -33 - -36. Let m(j) be the second derivative of 1/12*j**5 + 0*j**2 + 1/126*j**7 + 2/45*j**6 + 0*j**h + 1/18*j**4 + 6*j + 0. Factor m(k).
k**2*(k + 1)**2*(k + 2)/3
Find j, given that 0*j**2 - 18/7*j + 0 + 2/7*j**3 = 0.
-3, 0, 3
Factor 959*b**2 - 4*b**4 + 24*b**3 - 1027*b**2 + 32*b + 16*b**3.
-4*b*(b - 8)*(b - 1)**2
Let l be (-121)/(-726) + 2/24. Factor 9/2*d**2 - 5*d + l*d**4 - 7/4*d**3 + 2.
(d - 2)**3*(d - 1)/4
Let b(t) be the third derivative of 2*t**7/315 + t**6/45 + t**5/45 - 87*t**2. What is x in b(x) = 0?
-1, 0
Let i = 4 - 3. Let n be ((-24)/(-6))/(3 - i). Factor -g + 0*g**3 - g**3 + n*g**3.
g*(g - 1)*(g + 1)
Let w(h) be the first derivative of 2*h**5/15 + h**4 + 26*h**3/9 + 4*h**2 + 8*h/3 + 101. Factor w(i).
2*(i + 1)**2*(i + 2)**2/3
Suppose 59*g - 2 - 104*g - 315*g**2 + 22 = 0. What is g?
-1/3, 4/21
Factor -1/2*r**5 - 5/2*r**4 + 3*r**3 + 0*r**2 + 0 + 0*r.
-r**3*(r - 1)*(r + 6)/2
Suppose -4*n + 0 = -8. Let r be (-1 + (-27)/(-18))/2. Determine w, given that 0*w + 0 - r*w**n = 0.
0
Let d(b) be the second derivative of -b**7/84 - b**6/20 - b**5/40 + b**4/8 + b**3/6 + 3*b - 12. Suppose d(z) = 0. What is z?
-2, -1, 0, 1
Let q(r) be the second derivative of -5*r**5 + 170*r**4/3 - 248*r**3/3 + 48*r**2 - 2*r + 3. Suppose q(z) = 0. What is z?
2/5, 6
Let k(u) be the third derivative of -u**5/180 + 11*u**4/72 + 2*u**3/3 - 81*u**2. Solve k(z) = 0 for z.
-1, 12
Suppose -5*f + 1 = 11. Let i be -4*(27/(-6) - f). Factor -o**4 - 2*o**4 + i*o**5 + o**2 - 8*o**5.
o**2*(o - 1)**2*(2*o + 1)
Let j(g) be the first derivative of -16*g**3/9 - 25*g**2/3 - 2*g - 150. Factor j(h).
-2*(h + 3)*(8*h + 1)/3
Let u(z) be the second derivative of -5*z + 5/4*z**4 + 0 + z**3 + 9/20*z**5 + 0*z**2. Determine x so that u(x) = 0.
-1, -2/3, 0
Let h(k) be the third derivative of -k**6/240 + k**5/120 + 13*k**2 - 2. Let h(p) = 0. What is p?
0, 1
Let t(x) be the second derivative of 9/160*x**5 + 2*x + 0*x**2 - 1/80*x**6 - 9 + 0*x**3 - 1/16*x**4. Factor t(a).
-3*a*