3 - p*v**4 = 0. What is v?
-1, -2/5, 0
Let u(y) be the third derivative of 0*y + 1/20*y**5 + 0*y**3 + 0 + 30*y**2 + 5/8*y**4. Suppose u(g) = 0. Calculate g.
-5, 0
Suppose 40/7*g**4 - 8/7*g**2 - 4/7*g**5 - 64/7*g**3 - 32/7 + 68/7*g = 0. What is g?
-1, 1, 8
Let w be 12/(-8)*(-11)/66. Suppose 3/2*x + 9/4 + w*x**2 = 0. What is x?
-3
Let u(w) be the third derivative of 0*w**4 + 1/24*w**6 + 0 + 12*w**2 + 0*w + 0*w**3 - 1/12*w**5. Find l, given that u(l) = 0.
0, 1
Let y(q) = 5*q**3 + 28*q**2 - 9*q - 24. Let p(x) = 55*x**3 + 310*x**2 - 100*x - 265. Let j(r) = 4*p(r) - 45*y(r). Factor j(o).
-5*(o - 1)*(o + 1)*(o + 4)
Let g(w) = -6*w**2 + 7*w - 6. Let h(n) be the third derivative of 7*n**5/60 - n**4/3 + 7*n**3/6 - 9*n**2. Let i(p) = 6*g(p) + 5*h(p). Let i(v) = 0. Calculate v.
1
Suppose -11*z = 27 - 49. Factor -m**z + 1/2*m**4 - 4 - 3/2*m**3 + 6*m.
(m - 2)**2*(m - 1)*(m + 2)/2
Factor 4/3*o**2 + 1/3*o - 1/3*o**3 - 4/3.
-(o - 4)*(o - 1)*(o + 1)/3
Let j(n) be the first derivative of n**6/9 + 2*n**5/15 - 3*n**4/2 + 22*n**3/9 - 4*n**2/3 - 106. Factor j(r).
2*r*(r - 1)**3*(r + 4)/3
Let t be (-16)/(-32) - (-11)/3 - 4. Let d(b) be the first derivative of 0*b + 1/9*b**3 - 5 + t*b**2. Factor d(s).
s*(s + 1)/3
Let y(q) be the second derivative of -q**5/15 + 2*q**4/3 - 8*q**3/3 + 16*q**2/3 + 277*q. Find w, given that y(w) = 0.
2
Let x be 10 + 12/(-16) + (-25)/4. Suppose 0*n + 0 + 0*n**2 - 4/5*n**x = 0. What is n?
0
Suppose 0 = -12*i + 20*i - 16. Suppose i*q = -g, -2*g + q = -5*g. Factor g*k - 2/5*k**4 - 2/5*k**2 + 4/5*k**3 + 0.
-2*k**2*(k - 1)**2/5
Solve -19/2*f**2 + 1/2*f**4 - 2*f**3 + 0 - 7*f = 0.
-2, -1, 0, 7
Let d(k) be the third derivative of k**6/48 + k**5/6 - 55*k**4/48 + 5*k**3/2 + 98*k**2. Let d(l) = 0. What is l?
-6, 1
Determine a, given that 2/15*a**4 + 0 - 2/15*a**2 - 4/15*a + 4/15*a**3 = 0.
-2, -1, 0, 1
Let a(r) = -8*r**3 + 560*r**2 - 9250*r - 20719. Let p(m) = -m**3 + 70*m**2 - 1156*m - 2590. Let v(w) = 6*a(w) - 51*p(w). Let v(s) = 0. What is s?
-2, 36
Let r be ((-140)/8)/(-7)*(2 - 0). Let b(p) be the third derivative of 0*p**3 + 4*p**2 - 1/120*p**6 + 0*p + 0*p**4 + 0 + 1/60*p**r. Let b(z) = 0. What is z?
0, 1
Let v(w) = w**3 - 22*w**2 + w + 9. Let d be v(22). Let m = -29 + d. What is g in 1/2*g**3 + 1/2*g**m - 3/4*g**4 + 1/4 + 1/4*g**5 - 3/4*g = 0?
-1, 1
Let q(p) be the third derivative of 14*p**2 + 2/105*p**7 - 2/3*p**3 + 1/15*p**6 - 1/3*p**4 + 0*p + 0*p**5 - 1. Factor q(u).
4*(u - 1)*(u + 1)**3
Let r be (-346)/(-10) + 4/10. Let -47 + r*d**2 + 47 - 15*d = 0. Calculate d.
0, 3/7
Let m(b) be the third derivative of b**8/28 + 2*b**7/35 + b**6/40 - 47*b**2. Factor m(k).
3*k**3*(2*k + 1)**2
Let y(r) = 2*r**3 - 36*r**2 + 2*r + 46. Let j(u) = -4*u**3 + 68*u**2 - 6*u - 93. Let h(c) = -2*j(c) - 5*y(c). What is p in h(p) = 0?
-1, 1, 22
Let o(k) be the second derivative of -3/2*k**2 + 36*k + 1/4*k**4 - 1/6*k**3 + 1/20*k**5 + 0. Factor o(u).
(u - 1)*(u + 1)*(u + 3)
Determine j so that 3/4*j**3 - 3*j**4 + 3/4*j**5 - 3*j + 15/2*j**2 - 6 = 0.
-1, 2
Let n(d) be the second derivative of -5/6*d**4 + 4*d**2 + 2/15*d**6 - 1/20*d**5 + 2/3*d**3 - 1/42*d**7 - 22*d + 0. Factor n(k).
-(k - 2)**3*(k + 1)**2
Let y(k) = -2*k**2 - 8*k - 2. Let c be y(-3). Factor c + 50*f + 4 + 98*f**2 + 6*f.
2*(7*f + 2)**2
Let g(o) be the third derivative of -o**6/24 + 29*o**5/4 - 207*o**2. What is x in g(x) = 0?
0, 87
What is j in -39*j**4 - 17*j**3 + 80*j**4 - 2*j**3 - 42*j**4 - 81*j - 99*j**2 = 0?
-9, -1, 0
Let v = 152 - 146. Determine r so that 4*r**4 - 21*r**4 - 66*r**3 - v*r**5 - 22*r**4 - 24*r**2 = 0.
-4, -2, -1/2, 0
Let 2/17*f**2 + 128/17 + 32/17*f = 0. What is f?
-8
Let k be (-2)/((-18)/(-43)) + 10/(-190)*-95. Solve 0 + 10/9*d**3 + 2/3*d**4 - 2/9*d + k*d**2 = 0 for d.
-1, 0, 1/3
Suppose -8 = -89*q + 259. Factor 0 + 0*g - 2/13*g**q + 2/13*g**4 + 0*g**2.
2*g**3*(g - 1)/13
Determine q, given that -686/5 - 42/5*q**2 - 294/5*q - 2/5*q**3 = 0.
-7
Let v be -118 + 113 + (-2*(-74)/28 - 0). Factor -4/7*b**2 + 4/7 - 2/7*b**3 + v*b.
-2*(b - 1)*(b + 1)*(b + 2)/7
Factor -2/15*i**2 + 4/5 + 2/15*i.
-2*(i - 3)*(i + 2)/15
Let o(p) be the first derivative of -19 + 25*p**2 + 9*p**4 + 12*p - 4/5*p**5 + 24*p**3 - p**6. What is x in o(x) = 0?
-1, -2/3, 3
Let u(c) be the first derivative of c**3/9 - 7*c**2/3 - 11. Factor u(l).
l*(l - 14)/3
Let f(y) be the third derivative of 0*y**3 + 2*y**2 + 0*y + 0*y**5 + 1/32*y**4 + 0 - 1/160*y**6. Determine h so that f(h) = 0.
-1, 0, 1
Suppose -54*n - 84 + 192 = 0. Factor -2/3 - 1/3*o**3 - 4/3*o**n - 5/3*o.
-(o + 1)**2*(o + 2)/3
Let c(f) be the first derivative of -25*f**3/3 + 5*f**2 - 269. Determine z so that c(z) = 0.
0, 2/5
Let s(y) = -3*y**3 - 2*y**2 - y - 1. Let u(l) = -11*l**3 + 38*l**2 + 47*l - 95. Let p(t) = 3*s(t) - u(t). Factor p(a).
2*(a - 23)*(a - 1)*(a + 2)
Let y(j) = -2*j**2 - 29*j + 21. Let c be y(-15). Let n = -6 + c. What is f in 1/3*f**4 + 0*f**2 + 0*f - 2/3*f**3 + n = 0?
0, 2
Let w(z) = -4*z**4 + 4*z**3 - 9*z**2 - z. Let h(i) = i**4 - i**3 + i**2 + i. Let s(f) = -5*h(f) - w(f). Factor s(p).
-p*(p - 2)*(p - 1)*(p + 2)
Suppose 0 = m + 16 - 22. Find v such that -7*v**4 + 23*v + 24*v**3 + v**5 - m - 34*v**2 + 2*v**4 - 3*v**4 = 0.
1, 2, 3
Determine a so that -242 + 99 + 111 - 24*a + 2*a**3 = 0.
-2, 4
Let m(o) be the second derivative of -25 - 2*o + 0*o**2 + 8/15*o**4 - 8/15*o**3 - 3/25*o**5. Let m(d) = 0. Calculate d.
0, 2/3, 2
Let c(d) be the first derivative of 1089*d**5/10 + 715*d**4/4 + 98*d**3 + 18*d**2 + 180. Factor c(i).
i*(9*i + 2)*(11*i + 6)**2/2
Let r(n) be the second derivative of -n**6/90 + 29*n**5/30 + 5*n**4/3 - 29*n**3/9 - 59*n**2/6 - 192*n - 1. Factor r(c).
-(c - 59)*(c - 1)*(c + 1)**2/3
Let o be 3*(-3)/36*-22. Let j(y) be the first derivative of -2/3*y**3 - o*y**2 + 11/4*y**4 + 2*y - 4. Solve j(z) = 0 for z.
-1, 2/11, 1
Let m(v) be the second derivative of -v**6/45 - 3*v**5/10 - 13*v**4/9 - 8*v**3/3 - 625*v. Find u such that m(u) = 0.
-4, -3, -2, 0
Let u(q) be the second derivative of 0*q**2 + 1/10*q**5 + 0*q**4 + 9*q + q**3 - 1/90*q**6 + 0. Let f(d) be the second derivative of u(d). Solve f(k) = 0 for k.
0, 3
Suppose 0 = -5*z - 3*i + 15, 38*z - 34*z - 4*i - 12 = 0. Suppose 3/2*b + 1 - 3/2*b**z - 1/2*b**2 - 1/2*b**4 = 0. Calculate b.
-2, -1, 1
Let l(a) be the first derivative of -a**6/105 + 3*a**5/35 - 32*a**3/21 - 18*a - 5. Let v(g) be the first derivative of l(g). Factor v(u).
-2*u*(u - 4)**2*(u + 2)/7
Let d(a) = 3*a + 35. Let r be d(-11). Factor -2/13*b**r - 8/13*b - 6/13.
-2*(b + 1)*(b + 3)/13
Suppose 7 = 2*g + 1. Let a be (g/(-2))/((-18)/24). Let -u**a - 15*u + 11*u + 4*u**2 + u**2 = 0. What is u?
0, 1
Factor -2/11*h**3 - 2/11*h**4 + 2/11*h**2 + 0 + 2/11*h.
-2*h*(h - 1)*(h + 1)**2/11
Let h(r) = -3*r**3 + 184*r**2 + 395*r + 5. Let l(m) = -8*m**3 + 460*m**2 + 988*m + 12. Let c(o) = 12*h(o) - 5*l(o). Factor c(n).
4*n*(n - 25)*(n + 2)
Let p(a) be the second derivative of -a**5/100 - a**4/30 + a**3/30 + a**2/5 - 17*a - 7. Factor p(x).
-(x - 1)*(x + 1)*(x + 2)/5
Factor 2/7*b**3 - 18/7*b**2 + 0 - 20/7*b.
2*b*(b - 10)*(b + 1)/7
Let t be (40/(-12) - -3)*(-3207)/(-9). Let o = t + 119. Factor 0 - 2/9*n**2 - o*n.
-2*n*(n + 1)/9
Let -1/3*a**3 + 53/3*a + 9 + 25/3*a**2 = 0. What is a?
-1, 27
Factor -12*v**2 - 30*v - 16 + 2*v**3 + 8*v**2 - 5*v**2 - 3*v**2.
2*(v - 8)*(v + 1)**2
Suppose -44*q**4 - 40*q**3 - 72*q**2 - 1 + 74*q**4 - 32*q**4 + 1 = 0. What is q?
-18, -2, 0
Let z(p) be the second derivative of 2*p**7/35 - 39*p**6/50 + 27*p**5/50 + 79*p**4/20 + 9*p**3/5 + 3*p + 3. Solve z(r) = 0 for r.
-1, -1/4, 0, 2, 9
Suppose 5*d - 1137 - 353 = -4*p, 0 = -5*p - 3*d + 1869. Solve x**4 + p*x - 2*x**3 - 375*x + 4*x**3 = 0.
-2, 0
Let g(x) = -20180*x**2 + 1968*x - 48. Let b(a) = 6727*a**2 - 656*a + 16. Let r(z) = -8*b(z) - 3*g(z). Factor r(y).
4*(41*y - 2)**2
Let l = 678269/19 - 35687. Find v such that 84/19*v**3 + 18/19*v**4 - 262/19*v**2 + l*v - 56/19 = 0.
-7, 2/3, 1
Let n(k) = -1 - 9*k**3 + 2*k**2 + 3*k**4 + 0 + 2*k + 5*k**3. Let y(z) = 4*z**4 - 5*z**3 + 3*z**2 + 2*z - 1. Let r(h) = -3*n(h) + 2*y(h). Factor r(c).
-(c - 1)**3*(c + 1)
Let g(q) = 3*q**3 - 2*q**2 - 25*q + 29. Let a(w) = -10*w**3 + w**2 + 26*w - 28 + 16*w**3 - 9*w**3. Let y(i) = -5*a(i) - 4*g(i). Factor y(s).
3*(s - 2)*(s - 1)*(s + 4)
Let j(i) be the first derivative of -i**4/20 + 2*i**3/15 + 4