*4 - 5*v. Let x(d) be the first derivative of i(d). Factor x(f).
-2*f*(f + 1)/7
Let u be (-17)/((-52003)/88504) + 8/(-7). Suppose -124/19*j**3 + 256/19 - 832/19*j + u*j**2 + 10/19*j**4 = 0. What is j?
2/5, 4
Factor -8*d**3 + 48*d + 12*d**2 + 1234*d**4 - 1230*d**4 - 56*d**2.
4*d*(d - 4)*(d - 1)*(d + 3)
Let y be 4 - (-1764)/1029*(38/(-9) + 2). Suppose 2/21*l**5 + 2/21*l - y*l**3 + 0 + 0*l**4 + 0*l**2 = 0. What is l?
-1, 0, 1
Let r(p) be the third derivative of -p**5/360 + 11*p**4/144 - 5*p**3/18 + 21*p**2. Find x, given that r(x) = 0.
1, 10
Suppose -18/5 - 33/5*o**4 + 9*o**3 - 12/5*o**5 + 123/5*o**2 + 39/5*o = 0. What is o?
-3, -1, 1/4, 2
Let k(z) = -z**2 - 17*z - 38. Let x(d) = -6*d**2 - 102*d - 226. Let c(n) = 39*k(n) - 6*x(n). Solve c(r) = 0.
-14, -3
Let q(k) be the second derivative of k**4/24 - 25*k**3/6 + 625*k**2/4 + 314*k. Find p, given that q(p) = 0.
25
Suppose 0 = 2*v + 4*n + 4, -7*v - 14 = -8*v + 2*n. Let 6*i**2 - v*i - 3/2*i**3 + 0 = 0. What is i?
0, 2
Let z(l) = -20*l**3 - 1 - 3*l**4 + 6*l - 32*l - 32*l**2 - 10. Let i(r) = -12*r**4 - 81*r**3 - 129*r**2 - 105*r - 45. Let q(o) = 5*i(o) - 21*z(o). Factor q(k).
3*(k + 1)**3*(k + 2)
Suppose 30*h + 32 = 32*h. Suppose 4*f - 5*m = h - 3, -5 = 5*m. Factor 0*u**4 + 0 + 0*u + 0*u**f + 4/3*u**5 - 4/3*u**3.
4*u**3*(u - 1)*(u + 1)/3
Let p be (3/2)/(42/56). Suppose i + 0*j - j = 2, 2*j = p. Let -3*s**4 + 12*s**3 + 10*s**2 + 6*s + 0*s**i - 25*s**2 = 0. What is s?
0, 1, 2
Let t be -19 + (-3108)/(-147) + 1/(-7). What is h in 2/7*h**5 + 0*h**t - 2/3*h**4 + 0 + 0*h - 4/7*h**3 = 0?
-2/3, 0, 3
Let i(l) be the first derivative of l**7/840 - l**6/480 + 17*l**2/2 - 5. Let r(p) be the second derivative of i(p). Let r(j) = 0. Calculate j.
0, 1
Determine x so that 34/5*x + 12/5 - 10*x**4 - 18*x**3 - 18/5*x**2 = 0.
-1, -2/5, 3/5
Let -1 + 4*a**2 - 51*a + 41*a - 29*a**2 = 0. What is a?
-1/5
Let i(q) be the second derivative of 5*q**4/48 + 325*q**3/24 - 335*q**2/4 + 5*q + 76. Factor i(s).
5*(s - 2)*(s + 67)/4
Let c = -143 - -147. Let y(r) be the second derivative of -1/27*r**3 + 1/27*r**c - 1/90*r**5 - 2*r + 0*r**2 + 0. Factor y(t).
-2*t*(t - 1)**2/9
Let h(g) be the first derivative of g**6/3 + 118*g**5/5 - 61*g**4/2 - 118*g**3/3 + 60*g**2 + 449. Let h(c) = 0. What is c?
-60, -1, 0, 1
Solve 1/2 - 1/4*d**2 + 1/4*d = 0.
-1, 2
Let x = -2898/31 + 21340/217. Factor 12/7 - 32/7*u**2 - x*u + 2*u**3.
2*(u - 3)*(u + 1)*(7*u - 2)/7
Suppose -3/2*y**3 - 2178*y + 15972 + 99*y**2 = 0. Calculate y.
22
Let v be (530/1855)/(2*(-10)/(-224)). Find g such that 38*g**3 - 228/5*g**2 - v + 104/5*g - 10*g**4 = 0.
2/5, 1, 2
Let b = 33 - 32. Let q be (b + 2 - 4) + 4. Factor -3*s**3 + 2*s + 13*s - 2*s**q - 10.
-5*(s - 1)**2*(s + 2)
Suppose -27/2 - 111/4*n - 15*n**2 - 3/4*n**3 = 0. Calculate n.
-18, -1
Let j(c) be the second derivative of -3/160*c**5 + 1/6*c**3 + 1/4*c**2 + 1/96*c**4 - 5*c + 0. Suppose j(v) = 0. Calculate v.
-1, -2/3, 2
Let q(g) be the third derivative of g**5/240 - g**4/32 - g**3/6 - 58*g**2. Determine h, given that q(h) = 0.
-1, 4
Factor 16/5 + 2/5*g**2 + 2/5*g**3 - 4*g.
2*(g - 2)*(g - 1)*(g + 4)/5
Let c = 0 - 57. Let k = c + 62. Let 9/5*s**3 + 0*s - 9/5*s**4 + 3/5*s**k - 3/5*s**2 + 0 = 0. What is s?
0, 1
Let m(a) be the third derivative of -1/448*a**8 + 1/70*a**7 - 1/10*a**5 + 0*a - 1/32*a**4 + 10 + 1/2*a**3 - 2*a**2 + 1/80*a**6. Suppose m(v) = 0. Calculate v.
-1, 1, 4
Let k(j) = -j - 1. Let d be (-8)/(-6) - 18/(-27). Let w(h) = 2*h**3 - 4*h - 2. Let m(i) = d*k(i) - w(i). Factor m(y).
-2*y*(y - 1)*(y + 1)
Factor 79/11*a**2 + 78/11*a + 1/11*a**3 + 0.
a*(a + 1)*(a + 78)/11
Let s(c) be the first derivative of c**6/2 + 3*c**5/5 - 15*c**4/4 + 3*c**3 + 118. Find u, given that s(u) = 0.
-3, 0, 1
Let t(l) = 36*l**3 + 4*l**2 - 20*l. Let k(j) = 5*j - 25. Let q be k(9). Let g(r) = r. Let a(d) = q*g(d) + t(d). Factor a(o).
4*o**2*(9*o + 1)
Let n(m) = -m**2 - 8*m + 11. Let h be n(-9). Factor 10*a + 5*a**4 - 99*a**3 + 99*a**3 - 15*a**h.
5*a*(a - 1)**2*(a + 2)
Let k(w) = -139*w**3 + 103*w**2 - 36*w + 11. Let d(l) = 28*l**3 - 21*l**2 + 7*l - 2. Let n(q) = -11*d(q) - 2*k(q). Factor n(g).
-5*g*(2*g - 1)*(3*g - 1)
Determine c, given that -68216*c + 0*c**5 - 7*c**5 - 90*c**4 - 14580*c**2 - 118098 + 2606*c + 5*c**5 - 700*c**3 - 920*c**3 = 0.
-9
Find r, given that -297*r**2 + 15*r**3 + 1152/5*r - 228/5 = 0.
2/5, 19
What is c in 11*c**3 - 7*c**3 + c**4 - 4 + 0*c**4 + 3*c**2 - 4*c = 0?
-2, -1, 1
Let a(j) = 3 - 24*j**2 - 5*j + 7 - 9*j**3 + 3*j**3 - 5. Let c(f) = -3*f**3 - 12*f**2 - 3*f + 3. Let s(k) = -3*a(k) + 5*c(k). Factor s(x).
3*x**2*(x + 4)
Let o = -27 + 47. Determine u so that -17*u + o*u + 4*u**3 - 2*u**3 + 6*u**2 + u**3 = 0.
-1, 0
Let w be 5 + 475/(-40) + 3*7/3. Find f such that 0 + w*f**4 + 0*f**2 - 1/8*f**5 + 0*f + 1/4*f**3 = 0.
-1, 0, 2
What is z in 0*z**2 - 6*z**2 + 0*z**2 + 8*z - 2*z**3 = 0?
-4, 0, 1
Let c = -2470/21 + 358/3. Let h(z) be the first derivative of 1/7*z**4 - 7 + 8/7*z + c*z**2 + 6/7*z**3. Determine l, given that h(l) = 0.
-2, -1/2
Let h = -13022/11 - -1184. Factor 0 + 0*z - h*z**4 - 8/11*z**3 - 6/11*z**2.
-2*z**2*(z + 1)*(z + 3)/11
Factor -18/5*u**4 + 3/5*u**5 - 108/5*u**3 + 0 + 0*u - 24*u**2.
3*u**2*(u - 10)*(u + 2)**2/5
Let c(t) = t**2 - 3*t - 15. Let b be c(6). Let d = -249 - -4235/17. What is h in 8/17*h**b - d - 16/17*h**2 + 10/17*h = 0?
1/2, 1
Let l(u) be the first derivative of -2*u**3 + 2 + 1/2*u**4 - 2*u + 3/2*u**2. Let m(g) = 8*g**3 - 24*g**2 + 13*g - 8. Let a(d) = 22*l(d) - 6*m(d). Factor a(v).
-4*(v - 1)**3
Let t(v) = v**3 - 3*v**2 - 6*v. Let g(d) = d**2 + d. Suppose 3*f - 11 = 4*o, f = -o - 1 - 0. Let k(w) = f*t(w) + 4*g(w). Factor k(i).
i*(i - 1)*(i + 2)
Let f(q) = -11*q**5 + 13*q**4 + 57*q**3 - 22*q**2 - 46*q + 9. Let x(i) = -i**5 + i**4 + i**3 - 1. Let k(j) = f(j) - 3*x(j). What is l in k(l) = 0?
-2, -1, 1/4, 1, 3
Factor -3/7*n**3 - 6 + 24/7*n**2 - 15/7*n.
-3*(n - 7)*(n - 2)*(n + 1)/7
Let s(k) = -11*k - 38*k - 54 - 18 - 23*k**2. Let u(b) = 8*b**2 + 16*b + 24. Let j(q) = 4*s(q) + 11*u(q). Factor j(y).
-4*(y + 2)*(y + 3)
Let a(z) be the third derivative of 16*z**2 - 1/10*z**5 + 0 - 1/8*z**4 + 0*z + 0*z**3 - 1/40*z**6. Suppose a(p) = 0. What is p?
-1, 0
Let n(u) be the second derivative of u**4/24 + 13*u**3/12 + 3*u**2 + 124*u. Factor n(l).
(l + 1)*(l + 12)/2
Let b(x) be the first derivative of 5*x**6/6 - 3*x**5 - 85*x**4/2 + 190*x**3/3 + 165*x**2/2 - 175*x + 557. Determine q, given that b(q) = 0.
-5, -1, 1, 7
Suppose -4*k + 28 = 35*i - 33*i, -k = i - 8. Let v(j) = -j**2 - 5*j. Let b be v(-4). Factor -12*q**2 - 2*q**b + 14*q**3 + 8*q + 18 - 20 - k*q**3.
-2*(q - 1)**4
Let v(j) = 45*j - 358. Let k be v(8). Factor -3/4*d**k - 3/2*d - 3/4.
-3*(d + 1)**2/4
Suppose -2/3*a**3 - 4*a - 14/3*a**2 + 0 = 0. Calculate a.
-6, -1, 0
Let s(m) = m**2 + 3*m - 5. Let d be s(2). Suppose 5*j - d*b = 25, b = 5*j + 4*b + 15. Solve -7/4*h**2 + 1/2*h + j = 0.
0, 2/7
Let c(n) = -n + 8. Let g be c(6). Suppose -j - 2 = -g*j. Determine i, given that -i**3 - 15*i**j + 36*i**2 - 1 - 20*i**2 + i = 0.
-1, 1
Let w(q) = -q + 1. Suppose 0 = 2*x + 6 + 4. Let j be w(x). Let 2 + j + 9*s**3 - 1 - 4 - 3*s**2 - 9*s = 0. What is s?
-1, 1/3, 1
Let a(f) be the first derivative of 0*f**2 + 0*f - 3 - 4*f**3 + 3/4*f**4. Factor a(w).
3*w**2*(w - 4)
Suppose 1/3*r**2 + 2*r + 3 = 0. Calculate r.
-3
Find f such that -13 + 0 - 2*f**3 - 34*f - 17*f**2 + 2 - 3*f**2 - 5 = 0.
-8, -1
Let v(f) be the third derivative of -f**7/735 + 17*f**6/420 - 67*f**5/210 + 29*f**4/28 - 12*f**3/7 - f**2 - 178. Determine b, given that v(b) = 0.
1, 3, 12
Let y = -511 + 514. Let g(x) be the second derivative of 0 + 2*x + 2/11*x**2 + 1/66*x**4 + 1/11*x**y. Factor g(z).
2*(z + 1)*(z + 2)/11
Suppose -3 - 7 = -2*g. Suppose -y = g, 4*v - 3*y + 2 = 25. Determine q so that 1/3*q**v + 3 - 2*q = 0.
3
Suppose -4*i - k + 5 = -0*k, -4*i = 4*k - 20. Solve 4*x**2 + 10 + 5*x - 20*x + i*x + x**2 = 0 for x.
1, 2
Let v(m) = m - 4. Let y be v(7). Let g(c) = -c**2 + 23*c + 24. Let d(s) = s**2 - 11*s - 12. Let w(i) = y*g(i) + 5*d(i). Find u, given that w(u) = 0.
-6, -1
Factor -152/9*g + 2/9*g**2 + 50/3.
2*(g - 75)*(g - 1)/9
Factor 254/13 - 2/13*c**2 + 252/13*c.
-2*(c - 127)*(c + 1)/13
Let q(h) be the first derivative of h**8/252 - h**6/30 + 2*h**5/45 - 7*h**2/2 - 9. Let m(n) be the second derivativ