h*a(r) + 2*w(r). Find d, given that p(d) = 0.
-1
What is f in 75*f**3 + 26*f + 633*f**4 - 101*f**3 - 634*f**4 + f**2 = 0?
-26, -1, 0, 1
Solve -22/17*z**2 - 14/17*z + 4/17*z**3 + 12/17 = 0 for z.
-1, 1/2, 6
Suppose 2*w - 34 = -40. Let z be 2/(-40) - (-2)/(w - -11). Find k, given that 0*k**2 + 0 + z*k**4 + 4/5*k - 3/5*k**3 = 0.
-1, 0, 2
Let z = 20 - 24. Let s be z/(-20) + 3/(-15). Factor -1/2*f**3 + 0 - 1/4*f**4 + 0*f + s*f**2.
-f**3*(f + 2)/4
Solve -138*w + 2*w**4 - 81*w**2 - 46*w**2 + 72 + 199*w**2 + 14*w**2 - 22*w**3 = 0 for w.
1, 3, 4
Let h = -29 + 31. What is k in 67*k**5 + 4*k**4 - 69*k**5 - h*k**2 + 0*k**4 - 2*k**2 + 2*k = 0?
-1, 0, 1
Let t be (-2 - 1) + (-180)/(-5). Factor 3*x**3 + 5*x**4 - t*x - 3*x**2 - 2*x**4 + 30*x.
3*x*(x - 1)*(x + 1)**2
Let h(a) be the third derivative of -a**7/105 - 13*a**6/30 - 4*a**5/5 + 13*a**4/6 + 25*a**3/3 + 928*a**2. Factor h(u).
-2*(u - 1)*(u + 1)**2*(u + 25)
Let m = -238 - -244. Factor 162/5*r - 3/5*r**4 - 108/5*r**2 - 81/5 + m*r**3.
-3*(r - 3)**3*(r - 1)/5
Let u = 2443 - 2441. Determine a so that 2/5*a**4 + 14/5*a**u + 0 - 2*a**3 - 6/5*a = 0.
0, 1, 3
Suppose -288 = 91*x - 85*x. Let w = x - -50. Suppose 6/19*d + 6/19*d**w + 2/19*d**3 + 2/19 = 0. Calculate d.
-1
Let u(c) be the third derivative of -c**6/90 + 2*c**5/45 + 8*c**4/9 - 64*c**3/9 - 1002*c**2. Find d such that u(d) = 0.
-4, 2, 4
Let f(y) be the second derivative of -y**4/9 + y**3/6 + y**2/6 + 454*y. Factor f(t).
-(t - 1)*(4*t + 1)/3
Let a(g) be the third derivative of 0*g + 1/8*g**4 - 1/8*g**5 + 21*g**2 - 3/20*g**6 + 0 + 0*g**3. Suppose a(x) = 0. Calculate x.
-2/3, 0, 1/4
Let l(o) be the second derivative of 22*o + 1/3*o**4 + 0 - 1/5*o**5 + 2/3*o**3 - 2*o**2. Factor l(u).
-4*(u - 1)**2*(u + 1)
Let d(v) be the first derivative of -1/5*v**2 - 1/10*v**4 + 9 + 0*v + 4/15*v**3. Solve d(f) = 0.
0, 1
Let z(n) be the third derivative of -8/3*n**3 + 25/6*n**4 + 0 + 3/10*n**6 - 14/5*n**5 + 0*n - 10*n**2. Factor z(o).
4*(o - 4)*(3*o - 1)**2
Factor -1/2*w**4 + 0 - 3/2*w**3 - 1/2*w - 3/2*w**2.
-w*(w + 1)**3/2
Factor 19*r**4 + 7*r**3 + 6*r + 13*r**2 - r**5 + 15*r**4 - 35*r**4.
-r*(r - 3)*(r + 1)**2*(r + 2)
Let k(h) be the third derivative of -h**6/540 - h**5/45 + h**4/27 + 8*h**3/9 + h**2 + 162. Suppose k(n) = 0. What is n?
-6, -2, 2
Let z(i) = 2*i**2. Suppose 4*h - 2*y + 19 = 3*y, -1 = -5*h - 2*y. Let f be z(h). Determine w so that 37 - 3*w**f - w**3 - 37 - 2*w = 0.
-2, -1, 0
Let t(s) = -3*s**5 - 6*s**4 - 6*s**3 + 6*s - 6. Let k(b) = -b**5 - b**3 + b - 1. Let v(q) = 6*k(q) - t(q). Factor v(d).
-3*d**4*(d - 2)
Let d(l) be the second derivative of -1/15*l**6 + 1/5*l**5 + l**2 + 16*l + 0 - 2/3*l**3 + 0*l**4. Factor d(w).
-2*(w - 1)**3*(w + 1)
Let d(f) be the second derivative of 0 + 1/20*f**5 + 8*f + 1/12*f**4 + 1/90*f**6 + 0*f**2 + 1/18*f**3. Find v, given that d(v) = 0.
-1, 0
Suppose 2*t + 9 - 3 = 3*x, 8 = -4*t + 5*x. Solve -t*o**5 + o - 6*o**3 + 8*o - 8*o**4 - 8*o = 0.
-1, 0, 1/3
Suppose -15*u = -2*x - 12*u - 10, -5*x = -u - 14. Factor 1/3*f**2 + 0*f + f**x - f**3 + 0 - 1/3*f**5.
-f**2*(f - 1)**3/3
Let y be (51 - 3)/((-3591)/(-342)). Let 4*z**3 + 4/7*z**2 - 20/7*z**4 - y*z + 16/7 + 4/7*z**5 = 0. What is z?
-1, 1, 2
Find w such that 0 - 2/5*w**3 + 12/5*w**2 + 14/5*w = 0.
-1, 0, 7
Let p(f) = 4*f**4 - 6*f**3 - 8*f**2 + 6*f - 8. Let y(x) = 4*x**4 - 5*x**3 - 10*x**2 + 5*x - 8. Let d(a) = 7*p(a) - 6*y(a). Find r such that d(r) = 0.
-1, 1, 2
Suppose 33*u - 51 = 15. Let 0 - 8*a**3 - 7/2*a**4 - 11/2*a**u - a = 0. What is a?
-1, -2/7, 0
Find b such that -60/7*b**3 + 396/7*b**2 + 3/7*b**4 - 960/7*b + 768/7 = 0.
2, 8
Suppose -4*s**3 - 177318*s + 0*s**3 - 4*s**3 + 2904*s**2 + 56689952 - 525450*s + 4*s**3 = 0. What is s?
242
Let o(v) = 2*v**4 + 2*v**3 + 3*v**2 + v + 1. Let y(u) = -9*u**4 - 8*u**3 - 13*u**2 - 5*u - 4. Let q(m) = -26*o(m) - 6*y(m). Let q(s) = 0. Calculate s.
-1, 1
Let g = 2093 - 10459/5. Let 6/5*s**3 - g*s - 4/5 + 2/5*s**2 + 2/5*s**4 = 0. What is s?
-2, -1, 1
Factor 0*q + 2*q + 24 - 2*q**2 + 3*q + 17*q.
-2*(q - 12)*(q + 1)
Let m(l) = -l**3 + 66*l**2 + 510*l + 78. Let t be m(73). Let -1/6*d**t + 1/3*d**2 + 0*d + 1/6*d**3 + 0 - 1/3*d**4 = 0. Calculate d.
-2, -1, 0, 1
Let x(u) be the third derivative of -u**8/84 + 4*u**7/21 - 11*u**6/10 + 8*u**5/3 - 8*u**4/3 + 4*u**2. Factor x(g).
-4*g*(g - 4)**2*(g - 1)**2
Let z(a) be the first derivative of -27*a**5/10 - 345*a**4/8 - 41*a**3 + 18*a**2 - 133. Find x, given that z(x) = 0.
-12, -1, 0, 2/9
Let v(w) be the first derivative of -5*w + 2 - 5/2*w**2 + 5/4*w**4 + 5/3*w**3. Factor v(b).
5*(b - 1)*(b + 1)**2
Let z(u) be the third derivative of u**5/15 - u**4 - 18*u**3 + 19*u**2. Factor z(n).
4*(n - 9)*(n + 3)
Let h(f) be the third derivative of f**6/30 - f**5/5 - 2*f**2 - f. Factor h(x).
4*x**2*(x - 3)
Let 72*c**4 - 357/2*c**3 + 183*c**2 - 12 - 21/2*c**5 - 54*c = 0. What is c?
-1/7, 1, 2
Let q = -173 + 187. Let i be 20/105*-3 - (-36)/q. Find p such that -48/7*p**4 + 8/7*p + 52/7*p**i - 16/7 - 2/7*p**3 - 18/7*p**5 = 0.
-2, -1, 2/3
Let g(z) be the third derivative of -2*z**7/105 + 13*z**6/15 + 29*z**5/5 + 2*z**4/3 - 232*z**3/3 + 831*z**2. Factor g(w).
-4*(w - 29)*(w - 1)*(w + 2)**2
Factor -4/9*j**2 - 80/9 + 4*j.
-4*(j - 5)*(j - 4)/9
What is m in -96*m - 23/3*m**4 + 0 + 118/3*m**3 + 1/3*m**5 + 64*m**2 = 0?
-2, 0, 1, 12
Let b(j) be the third derivative of 0*j**4 + 0 + 0*j - 1/60*j**5 + 1/6*j**3 + 24*j**2. Factor b(o).
-(o - 1)*(o + 1)
Let f(a) = -4*a**2 + 116*a + 520. Let z(u) = -u - 5. Let p(o) = f(o) - 8*z(o). Factor p(s).
-4*(s - 35)*(s + 4)
Let j(a) be the first derivative of -a**5/2 - 27*a**4/8 + 55*a**3/6 - 9*a**2/4 - 7*a - 48. Determine x, given that j(x) = 0.
-7, -2/5, 1
Let n(q) = -18*q - 75. Let t be n(-24). Factor -5*d**2 + 5*d**2 + 361 + 4*d**2 - 8*d - t.
4*(d - 1)**2
Suppose 5*o + g + 33 = 0, 0 = -5*o - 3*g + 7*g - 18. Let t be (1 - -1 - o) + -4. Factor 2/5*p + 0 - 2/5*p**2 - 2*p**3 - 6/5*p**t.
-2*p*(p + 1)**2*(3*p - 1)/5
Factor -4/3*c**2 + 28/3*c - 8.
-4*(c - 6)*(c - 1)/3
Let s(y) be the first derivative of -1/20*y**5 - 1/4*y**2 - 33 + 0*y + 1/12*y**3 + 1/8*y**4. Solve s(w) = 0.
-1, 0, 1, 2
Let y(d) = -2*d + 35. Let i be y(16). Let t(g) be the second derivative of -2/13*g**i + 9/13*g**2 + 3*g + 1/78*g**4 + 0. Factor t(h).
2*(h - 3)**2/13
Let v(p) = -13*p + 40. Let s be v(3). Let c(k) = 2*k**2 + 2*k - 2. Let l be c(s). Let -3 - 3/4*r**l - 3*r = 0. What is r?
-2
Let u(l) = -2*l**3 - 13*l**2 + 6*l - 4. Let m be u(-7). Suppose -16*y**2 - 33 + 4*y + 12*y + 4*y**m + 33 = 0. What is y?
0, 2
Factor 2/19*h**2 + 10/19*h - 28/19.
2*(h - 2)*(h + 7)/19
Suppose 0 = 101*o + 3 + 3 - 6. Factor 1/5*w**3 - 3/5*w**2 + o + 2/5*w.
w*(w - 2)*(w - 1)/5
Let n(d) be the second derivative of -8*d**6/75 - 21*d**5/25 + 11*d**4/15 + 56*d**3/5 + 8*d**2 + 333*d. Suppose n(r) = 0. What is r?
-5, -2, -1/4, 2
Let n(m) = m + 16. Let t be n(-15). Let r(h) = -2*h**2 + 14*h + 10. Let g(d) = d. Let v(q) = t*r(q) - 6*g(q). What is z in v(z) = 0?
-1, 5
Suppose -565 = -111*u - 63*u + 827. Solve u + 16/3*o + 2/3*o**2 = 0.
-6, -2
Suppose -10*h - 41 = -11*h. Suppose 57 = 8*c + h. Solve 0 - 1/3*s**4 + 1/3*s**c - 2/3*s**3 + 2/3*s = 0 for s.
-2, -1, 0, 1
Let w = 596/9 + -66. Let g(i) be the second derivative of 1/54*i**4 + i**2 + 0 - 2*i + w*i**3. Factor g(p).
2*(p + 3)**2/9
Let f(d) = d**5 - d**4 - d**3 - d**2 - d + 1. Let p(r) = 5*r**5 - 9*r**4 - 13*r**3 + 15*r**2 + 15*r + 1. Let z(q) = -f(q) + p(q). Factor z(u).
4*u*(u - 2)**2*(u + 1)**2
Let h(n) be the second derivative of n**9/15120 - n**8/2240 + n**7/1260 - 5*n**4/3 + 32*n. Let m(k) be the third derivative of h(k). What is q in m(q) = 0?
0, 1, 2
Let h be (-1)/(-9) + (-170)/(-90). Factor 0 - h*d**2 + d + 7 - 2*d**3 - 5 + d.
-2*(d - 1)*(d + 1)**2
Let t be (-112)/40*5/(-2). Suppose -d - t = -10. Factor -2/7*u**2 - 2/7*u**4 + 0 + 4/7*u**d + 0*u.
-2*u**2*(u - 1)**2/7
Let h(r) be the third derivative of 0*r**3 + 0*r**4 + 2/75*r**5 + 0*r + 1/840*r**8 - 1/525*r**7 + 27*r**2 + 0 - 1/75*r**6. Suppose h(l) = 0. Calculate l.
-2, 0, 1, 2
Let i = -225 - -335. Suppose 113*t - 6 = i*t. Solve -2/13*h**t - 18/13 - 12/13*h = 0.
-3
Let r(z) be the third derivative of z**6/40 + 21*z**5/10 - z**4/8 - 21*z**3 - 170*z**2. Let r(f) = 0. Calculate f.
-42, -1, 1
Let k(y) be the first derivative of -y**6/6 + 7*y**5/5 - 17*y**4