2/5
Let o = -1/79 - -109/2370. Let h(f) be the third derivative of -3*f**2 + 1/3*f**3 + 0 - o*f**5 + 0*f**4 + 0*f. Solve h(g) = 0 for g.
-1, 1
Let j(p) be the third derivative of 0 - 9*p**2 + 1/20*p**5 - 1/8*p**4 + 0*p**3 + 0*p. Factor j(l).
3*l*(l - 1)
Let z(g) be the second derivative of -2*g + 0 + 1/126*g**4 + 2/63*g**3 - 8/21*g**2. Determine c, given that z(c) = 0.
-4, 2
Let a(z) be the third derivative of -z**5/54 - 53*z**4/108 + 22*z**3/27 + 261*z**2. Factor a(r).
-2*(r + 11)*(5*r - 2)/9
Factor -5/3*j**2 - 8/3*j - 1.
-(j + 1)*(5*j + 3)/3
Suppose -3*f - 3 = 2*j - 6*j, 5*j - 15 = 0. Let v(z) be the first derivative of 1/16*z**4 + 0*z**f + 0*z - 1/24*z**6 - 2 + 0*z**2 + 0*z**5. Factor v(i).
-i**3*(i - 1)*(i + 1)/4
Let i = -9 - -5. Let v be (1 - 0)/(i/(-8)). Factor u**v + 4*u + 2*u - 4*u**2.
-3*u*(u - 2)
Suppose 4*u = w - 0*u - 5, -3*w + 15 = 5*u. Suppose 0*n = w*n - 125. What is j in 15*j + 5*j**2 + 5*j + 7*j**4 + 8*j**4 - n*j**3 - 25*j**2 = 0?
-1, 0, 2/3, 2
Let a(v) be the first derivative of v**7/168 - v**6/18 + v**5/6 - 3*v**3 + 8. Let y(u) be the third derivative of a(u). Solve y(i) = 0.
0, 2
Let i be 14/(-168) - (-186)/504. Determine w, given that -i*w + 4/7 - 2/7*w**2 = 0.
-2, 1
Let t(z) be the first derivative of 12*z**6/5 + 6*z**5/25 - 23*z**4/10 + 6*z**3/5 - z**2/5 + 14. Determine n so that t(n) = 0.
-1, 0, 1/4, 1/3
Let 1/2*q**4 - 9*q**2 + 729/2 - 6*q**3 + 162*q = 0. Calculate q.
-3, 9
Let h(n) be the second derivative of 2*n**7/21 + 2*n**6/15 - 3*n**5/5 - 5*n**4/3 - 4*n**3/3 + 119*n. Factor h(c).
4*c*(c - 2)*(c + 1)**3
Let m be (-46)/(-10) - (-12)/30. Suppose -1 = 3*i - 7. Determine p so that -3*p**4 + 4*p**5 + 16*p**2 - 9*p**3 + 3*p - 13*p**2 + i*p**m = 0.
-1, -1/2, 0, 1
Let s(g) be the second derivative of 0*g**2 - 1/9*g**4 - 2*g - 2/9*g**3 + 0. Factor s(j).
-4*j*(j + 1)/3
Let z(j) be the second derivative of j**5/8 - j**4/2 + j**3/3 + 84*j. Factor z(q).
q*(q - 2)*(5*q - 2)/2
Let s(x) be the second derivative of -x**4/84 + 10*x**3/21 - 48*x**2/7 - 293*x + 3. Factor s(c).
-(c - 12)*(c - 8)/7
Let p = 199 - 191. Let f(w) be the third derivative of 0 - 1/75*w**5 - p*w**2 + 1/75*w**6 + 0*w**4 + 0*w**3 - 2/525*w**7 + 0*w. Suppose f(y) = 0. Calculate y.
0, 1
Let h(b) be the third derivative of -b**6/100 + b**5/2 - 47*b**4/20 + 23*b**3/5 - 8*b**2 - 4. Let h(x) = 0. What is x?
1, 23
Suppose 3*w - 15 = 0, 0 = -5*a + 3*a + w - 1. Let 36*k + 4*k**2 + 16*k**2 + 64*k**3 - 6*k**a + 82*k**2 = 0. Calculate k.
-3/4, 0
Let d(a) = -9*a**2 - 6*a + 3. Suppose -2*w + 5*n + 33 = -4*w, 19 = -w - 3*n. Let p(h) = 5*h**2 + 3*h - 2. Let o(x) = w*d(x) - 7*p(x). Factor o(c).
(c + 1)*(c + 2)
Find a such that 0*a - 10/3 + 5/6*a**2 = 0.
-2, 2
Determine o so that 441/8 - 9/2*o**3 - 3/8*o**4 + 105/2*o - 27/4*o**2 = 0.
-7, -1, 3
Suppose 0 = -17*k + 10*k + 1701. Let n = k + -728/3. Determine p so that 0 + n*p + p**3 + p**2 + 1/3*p**4 = 0.
-1, 0
Suppose -9*h + 29 = -7. Solve -15*o**3 + h*o**5 - 13*o + 13*o + o**5 - 10*o**2 = 0.
-1, 0, 2
Let r = 73 + -69. Let u be (r/32*0)/(1*-1). Factor u*j - 1/5*j**2 - 1/5*j**4 + 2/5*j**3 + 0.
-j**2*(j - 1)**2/5
Let u(t) be the third derivative of -6*t**2 + 0*t - 1/24*t**4 + 0*t**3 + 1/120*t**5 + 0. Find d, given that u(d) = 0.
0, 2
Let s = 17 - 15. Solve -20*i - 13 - 40*i**s + 13 + 0*i**3 + 10*i**4 + 5*i**3 = 0 for i.
-2, -1/2, 0, 2
Let l be (-531)/(-1215) - 2/5. Let a(t) be the third derivative of 3*t**2 + 1/54*t**4 + 0*t + 0 - l*t**3 - 1/270*t**5. What is g in a(g) = 0?
1
Let o(f) be the third derivative of -f**6/3420 - f**5/228 + 47*f**3/6 + 31*f**2. Let t(d) be the first derivative of o(d). Find k, given that t(k) = 0.
-5, 0
Suppose 33 - 12 = 3*i. Let r be 0 - (-12)/(-42) - (-16)/i. Let -2/3*p**3 + 0 + 0*p - 2/3*p**r = 0. Calculate p.
-1, 0
Let b = -173 + 180. Let z(k) be the second derivative of 1/273*k**b + 0*k**4 + 0*k**5 - 3*k + 0*k**6 + 0 + 0*k**3 + 0*k**2. Factor z(r).
2*r**5/13
Suppose -2*f = -14 + 6. Let k(x) = -x**2 - 4*x + 6. Let g be k(-5). Let f*y + 4*y**3 - g - 2*y**2 - 2*y**4 + 0*y - 4*y**2 + y**4 = 0. What is y?
1
Let q = 0 - -4. Suppose 6*p - 2*p = q. Find h such that p - 3*h - 10*h**4 - 17*h**4 - 18*h**2 + 42*h**3 + 9*h**5 + 2 - 6*h**4 = 0.
-1/3, 1
Solve -26/5*m**3 - 4/5*m + 27/5*m**2 + 7/5*m**4 - 4/5 = 0.
-2/7, 1, 2
Let k be 2*8/20*(-5)/(-3). Suppose 0*c - 3*c + y = -9, 4*y = -2*c - 8. Solve 0*d**c + k - 2*d + 2/3*d**3 = 0 for d.
-2, 1
Let q(n) = -n**2 + 51. Let h be q(7). Factor 30*j**h - 14*j**2 - 17*j**2 + 2*j.
-j*(j - 2)
Let y be ((-2)/4)/(3/(-6))*0. Let z(g) be the first derivative of 2 + 1/6*g**3 + y*g**2 - 1/2*g. Determine t so that z(t) = 0.
-1, 1
Let f(k) = -k**3 + 2. Let j(t) = -2*t**3 + t**2 + 3. Let n(y) = 3*f(y) - 2*j(y). Factor n(z).
z**2*(z - 2)
Determine q so that 2/5*q**4 + 64/5*q - 24/5*q**2 + 128/5 - 8/5*q**3 = 0.
-2, 4
Solve -12 + 4*w**2 + 10*w + 25*w**2 - 31*w**2 = 0 for w.
2, 3
Suppose 3 = 4*p - 9. Suppose p*v + 3*j = -6, -6*j = 3*v - j + 16. Solve -33*x**2 - 3*x - 105*x**v + 18*x - 12 + 45*x = 0.
-1, 2/7, 2/5
Let 1/3 - 64/3*z**3 - 17/3*z + 80/3*z**2 = 0. What is z?
1/8, 1
Let g(f) be the third derivative of -f**8/2352 + f**7/490 - f**6/420 + 59*f**2. Factor g(v).
-v**3*(v - 2)*(v - 1)/7
Suppose -2*c - 1 - 1 = 0, -4*b + 25 = -5*c. Let s(z) be the third derivative of -1/18*z**4 + b*z**2 + 0*z**3 + 0*z - 1/30*z**5 + 0. Suppose s(o) = 0. What is o?
-2/3, 0
Suppose 3*x + 6*s - 26 = 11*s, 3*x = -3*s - 6. Solve -4/15*h + 2/15*h**x - 16/15 = 0.
-2, 4
Let z(b) = -4*b**2 - 30*b - 48. Let q be z(-5). Factor -57*j**q + 15/2*j**3 + 48 + 96*j.
3*(j - 4)**2*(5*j + 2)/2
Let b = 18/5 + -199/15. Let m = 21/2 + b. What is i in -1/6*i**2 - 1/6*i**3 + m*i - 1/2 = 0?
-3, 1
Let r = 13 - 11. Factor 6*i**2 + r*i**3 + 10 - 25 + 7.
2*(i - 1)*(i + 2)**2
Let z(c) = -c**4 + c**3 - 2*c**2 - c. Let w(v) = -8*v**4 + 4*v**3 - 24*v**2 + 23*v + 32. Let r(u) = -2*w(u) + 18*z(u). Factor r(i).
-2*(i - 4)**2*(i + 1)*(i + 2)
Suppose o - 5*h = 36, 0 = h - 2*h - 2. Let i be 53/91 + (-4)/o. Let 6/7*m**2 - 3/7*m**4 - 6/7*m**3 + 3/7*m + i*m**5 - 3/7 = 0. What is m?
-1, 1
Suppose -7 + 3 = -2*l. Find v such that -88 + 42*v**5 + 64 + 186*v**l - 52*v + 16*v - 135*v**4 + 21*v**3 = 0.
-1, -2/7, 1/2, 2
Let h(c) be the first derivative of -c**7/1260 + c**6/540 - 10*c**3/3 - 6. Let x(r) be the third derivative of h(r). Factor x(j).
-2*j**2*(j - 1)/3
Let h = -5517 + 5517. Suppose h - 18/5*g**4 + 2/15*g + 18/5*g**3 - 6/5*g**2 = 0. Calculate g.
0, 1/3
Let m = 542398059843/3965 - 136796483. Let i = m - -2/793. Solve -4/5 + 4/5*d**2 - 6/5*d + i*d**3 = 0.
-1, -2/3, 1
Suppose 3*i - 940 = -5*z - 2*i, 0 = 5*i + 15. Let l = -1335/7 + z. Determine h so that 1/7 - l*h + 1/7*h**2 = 0.
1
Suppose 8*n - 8 = q + 5*n, -5*q + 3*n + 8 = 0. Let f(w) be the third derivative of -1/5*w**3 + 1/100*w**5 + 0*w - w**2 + 1/40*w**q + 0. Factor f(t).
3*(t - 1)*(t + 2)/5
Let j(k) be the third derivative of 7/30*k**6 + 3/28*k**8 + 0*k**4 + 0*k - 2/7*k**7 - 1/15*k**5 + 0 + 0*k**3 - 6*k**2. Factor j(s).
4*s**2*(s - 1)*(3*s - 1)**2
Let x(a) = a**2 - a - 11. Let k be x(8). Let s = -78 - -102. Suppose -2 - 6 + k*p**2 + s*p - 19*p**2 - 42*p**3 = 0. Calculate p.
-2/3, 2/7, 1
Let j(v) = v**3 + 8*v**2 - 19*v + 8. Let b be j(-10). Let m(k) = -k**2 - 6*k - 5. Let p be m(b). Suppose 2/5*q + 0*q**2 - 2/5*q**p + 0 = 0. What is q?
-1, 0, 1
Let k(f) be the third derivative of -5/6*f**3 + 23/24*f**4 - 2/525*f**7 + 0*f + 30*f**2 - 7/120*f**6 - 17/100*f**5 + 0. Find j such that k(j) = 0.
-5, 1/4, 1
Let z(k) be the first derivative of 2*k**5/15 + 2*k**4/3 - 2*k**3/9 - 16*k**2/3 - 8*k + 691. Let z(c) = 0. Calculate c.
-3, -2, -1, 2
Let i be (-6)/(-39) - 80/520. Factor 0*b - 2/11*b**2 + i.
-2*b**2/11
Let d(b) be the third derivative of 0*b - 23*b**2 - 5/24*b**4 + 1/21*b**7 + 5/336*b**8 + 0*b**3 - 1/6*b**5 + 0 + 0*b**6. Let d(q) = 0. What is q?
-1, 0, 1
Let o(u) be the first derivative of u**6/24 + u**5/12 + 5*u**2/2 - 5. Let d(y) be the second derivative of o(y). Factor d(f).
5*f**2*(f + 1)
Let -4 + 1/2*x**3 + 59*x**2 + 14*x**5 - 85/2*x**4 - 2*x = 0. What is x?
-1, -1/4, 2/7, 2
Suppose 3*z = -w + 8, 3*z - w - 4 = -0*z. Factor 7 + 1 + 205*h**2 - 207*h**z.
-2*(h - 2)*(h + 2)
Factor 5 + 8/3*n + 1/3*n**2.
(n + 3)*(n + 5)/3
Let l be (-13)/(-2)*(7552/208 + -36). Factor 0*a + 2/5*a**3 + 4/5*a**l +