 j*r + 0.
r*(r + 1)/6
Let k(q) be the third derivative of q**6/30 + q**5/30 - q**4/6 - q**3/3 - 7*q**2. Let k(h) = 0. Calculate h.
-1, -1/2, 1
Let l(x) be the third derivative of -x**8/1344 + x**7/840 + x**6/160 - x**5/48 + x**4/48 - 2*x**2. Factor l(b).
-b*(b - 1)**3*(b + 2)/4
Solve -4*p**5 - 4*p**4 - 328 + 328 = 0 for p.
-1, 0
Let x(b) be the second derivative of -b**6/15 + 3*b**4/2 - 4*b**3/3 - 12*b**2 + 38*b. Suppose x(c) = 0. What is c?
-3, -1, 2
Let k(t) = -2 + 3*t + 14 - 7 - 4. Let b be k(3). Determine w so that -10*w**3 + 8/7 + 78/7*w**4 - 86/7*w**2 + 0*w + b*w**5 = 0.
-1, -2/5, 2/7, 1
Let h(f) be the first derivative of -f**6/20 - f**5/20 + 5*f**2/2 + 5. Let q(u) be the second derivative of h(u). What is r in q(r) = 0?
-1/2, 0
Suppose 0 = -k + 3 - 0. Determine y so that y**2 - y**4 + 2*y**4 - 2 - k*y + 0*y**3 - 4*y**3 + 7*y**3 = 0.
-2, -1, 1
Suppose -2*g + 32 = -4*m + 2*g, 0 = 5*m - 4*g + 38. Let y be (5/(-20))/(m/16). Find p, given that -1/3*p**2 - y*p + 1/3*p**4 + p**3 + 0 - 1/3*p**5 = 0.
-1, 0, 1, 2
Let j(g) be the first derivative of -g**7/630 + g**6/60 - 13*g**5/180 + g**4/6 - 2*g**3/9 - g**2/2 - 3. Let b(d) be the second derivative of j(d). Factor b(o).
-(o - 2)**2*(o - 1)**2/3
Let y(w) be the second derivative of w**5/70 + w**4/42 - w**3/21 - w**2/7 - 2*w + 5. What is k in y(k) = 0?
-1, 1
Suppose 0 = -5*g + 3*i + 13, -g + 4*i = -2 - 4. Let y be 1/1 + (g - 0). Factor -2*u**3 + 2*u**2 + 0*u**y - 2*u**3 + 2*u**4.
2*u**2*(u - 1)**2
Let a(t) be the first derivative of -4 - 13*t - 2*t**3 - 14*t + t**3 - 9*t**2 + 0*t**3. Find d such that a(d) = 0.
-3
Find h, given that -56/9*h**2 + 20/9 + 6*h = 0.
-2/7, 5/4
Let u = 9/68 - -227/340. Find d such that 2/5*d**2 + u*d + 0 = 0.
-2, 0
Suppose 0*l + 0*l - 4*l = 0. Factor 0*c + 2/5*c**5 - 4/5*c**4 + 2/5*c**3 + l*c**2 + 0.
2*c**3*(c - 1)**2/5
Let z be (-1 + 0)*2 + 0. Let h(g) = 2*g. Let p(i) = i**3 - i**2 - 2*i + 1. Let c = -6 - -5. Let x(a) = c*h(a) + z*p(a). Suppose x(j) = 0. Calculate j.
-1, 1
Let k = 23 + -16. Let l = k + -5. Factor -2*c + 0*c - 6*c**2 + c**l.
-c*(5*c + 2)
Suppose -4*v = 5*x - 9 - 1, 6 = 3*x + 2*v. Suppose -15 = 5*l, -2*n + 3*n + l + 1 = 0. Factor x - 2*d + 1/2*d**n.
(d - 2)**2/2
Let r(n) be the second derivative of -1/8*n**4 + 0*n**3 - 6*n + 0 + 3/4*n**2. Factor r(t).
-3*(t - 1)*(t + 1)/2
Determine t so that t**3 + 2*t - 54*t**2 - 53*t**2 + 110*t**2 = 0.
-2, -1, 0
Factor -8/3 - 2/3*j**2 + 8/3*j.
-2*(j - 2)**2/3
Let 0 - 4/7*w + 2/7*w**3 - 2/7*w**2 = 0. What is w?
-1, 0, 2
Determine g, given that -4*g**2 - 9*g**3 + 4*g + 6*g**3 + 4*g**3 + 0*g**2 = 0.
0, 2
Let c(q) = 4*q**2 + 12*q - 4. Let v(h) = h**3 - 12*h**2 - 35*h + 11. Let z(n) = -11*c(n) - 4*v(n). Determine r, given that z(r) = 0.
-1, 0, 2
Let y(b) be the third derivative of 0 + 1/300*b**6 + 0*b**4 + 0*b**3 + 0*b - 1/560*b**8 + 2*b**2 + 1/1050*b**7 + 0*b**5. Solve y(r) = 0.
-2/3, 0, 1
Factor -5*c - 8*c + 38*c - 5*c**2 - 20.
-5*(c - 4)*(c - 1)
Factor -2/5 - 2/5*c + 2/5*c**3 + 2/5*c**2.
2*(c - 1)*(c + 1)**2/5
Determine p, given that -2/3*p**5 + 0 + 0*p - 4/3*p**3 + 0*p**2 + 2*p**4 = 0.
0, 1, 2
Factor 16/15*k + 32/15 + 2/15*k**2.
2*(k + 4)**2/15
Suppose 3 - 13 = -2*g. Let x(n) be the second derivative of 0 + 0*n**2 - 1/9*n**4 + n - 1/9*n**3 - 1/30*n**g. Find b such that x(b) = 0.
-1, 0
Factor -6*l**2 + 3/2*l**3 + 3/2*l + 9.
3*(l - 3)*(l - 2)*(l + 1)/2
Let -3/4*n**2 - 3/2*n + 0 = 0. What is n?
-2, 0
Factor 8 - i**2 - 8 + 2*i + 3*i**2.
2*i*(i + 1)
Let l(f) = f**2 + 4*f - 2. Let z be l(-5). Let 9*x**2 + 9*x - 2*x - 4 + 5 - z = 0. Calculate x.
-1, 2/9
Let b(u) be the third derivative of -u**6/10 + 11*u**5/15 - 4*u**4/3 - 8*u**3/3 - 3*u**2. Factor b(a).
-4*(a - 2)**2*(3*a + 1)
Let l(u) be the second derivative of u**8/960 - u**7/504 - u**6/360 + u**4/2 - 4*u. Let t(m) be the third derivative of l(m). Factor t(q).
q*(q - 1)*(7*q + 2)
Let f(o) = -3*o**3 + o**2. Let a be f(-1). Let w be 12/8 + (-2)/a. Solve -5*z**2 + 0 + w + 4*z**2 = 0.
-1, 1
Let r = -238 + 389. Let y = r - 1055/7. Suppose 2/7*h**4 - 6/7*h**3 + 2/7*h**5 - y*h**2 + 0 + 4/7*h = 0. Calculate h.
-2, -1, 0, 1
Let r(j) be the first derivative of -j**6/12 - 3*j**5/20 + j**4/16 + j**3/4 + j**2/8 - 4. Suppose r(p) = 0. What is p?
-1, -1/2, 0, 1
Let f(i) = -4*i**3 + i**2 + 5*i - 5. Let o(a) = 3*a**3 - a**2 - 4*a + 4. Let b(v) = -4*f(v) - 5*o(v). Determine z, given that b(z) = 0.
-1, 0
Let m be 440/(-275)*1/(-4). Factor 2/5 - 2/5*q - m*q**2 + 2/5*q**3.
2*(q - 1)**2*(q + 1)/5
Suppose -5*r + 2*r = 3. Let l(z) = 9*z**3 + 3*z**2 - 11*z + 1. Let c(v) = v. Let j(b) = r*l(b) - 6*c(b). Factor j(o).
-(o + 1)*(3*o - 1)**2
Let l(n) be the first derivative of n**5/60 + n**4/24 + n**2 + 2. Let j(a) be the second derivative of l(a). Factor j(i).
i*(i + 1)
Let s be 1/3 + 32/12. Let n(b) be the third derivative of 0*b**3 + s*b**2 + 1/15*b**5 + 0 + 0*b**4 - 1/60*b**6 + 0*b. Solve n(k) = 0 for k.
0, 2
Let 0 + 0*w**3 - 3/2*w**2 + 0*w + 3/2*w**4 = 0. What is w?
-1, 0, 1
Factor -135 + 7*o**2 - 9*o**3 - 6*o**4 + 2*o**2 + 21*o + 144.
-3*(o + 1)**3*(2*o - 3)
Factor -5/4*j**2 + j**4 - 3/4*j + 1/4 + 3/4*j**3.
(j - 1)*(j + 1)**2*(4*j - 1)/4
Let r(u) = 3*u**2 - 31*u. Let c(y) = y**2 - 10*y. Let o(m) = 21*c(m) - 6*r(m). Factor o(a).
3*a*(a - 8)
Let x(s) = 2*s**4 - 4*s**3 + 15*s + 3. Let w(z) = 3*z**4 - 4*z**3 - z**2 + 14*z + 4. Let b(u) = 3*w(u) - 4*x(u). Factor b(i).
i*(i - 2)*(i + 3)**2
Suppose 2/3*q + 2/3*q**2 + 0 - 2/3*q**4 - 2/3*q**3 = 0. Calculate q.
-1, 0, 1
Let l(q) be the first derivative of q**4/30 + 2*q**3/15 + q**2/5 + 6*q + 4. Let j(g) be the first derivative of l(g). What is k in j(k) = 0?
-1
Factor 7*k + 9*k**2 + 1 - 1 - 7*k**3 - 9*k.
-k*(k - 1)*(7*k - 2)
Let n(f) be the second derivative of -1/3*f**3 + 2/27*f**4 - 3*f + 0 + 2/9*f**2. Suppose n(q) = 0. What is q?
1/4, 2
Let p(a) be the third derivative of 0*a + 1/180*a**5 + 0 - 1/9*a**3 + 1/72*a**4 - a**2. Find n, given that p(n) = 0.
-2, 1
Let t(q) be the first derivative of q**3 + 3*q**2 + 3*q + 6. Let l(b) = -12*b**2 - 24*b - 12. Let r(f) = -2*l(f) - 9*t(f). Suppose r(a) = 0. What is a?
-1
Let l(i) be the second derivative of i**4/6 - 32*i**3/3 + 256*i**2 + 43*i. Determine x, given that l(x) = 0.
16
Let o(c) be the first derivative of c**3 + 3*c**2 + 3*c - 12. Suppose o(t) = 0. Calculate t.
-1
Factor -4/7*q + 10/7*q**2 + 0 + 2/7*q**4 - 8/7*q**3.
2*q*(q - 2)*(q - 1)**2/7
Let o(z) be the third derivative of -z**6/120 + z**5/60 + z**4/4 + 26*z**2. Solve o(n) = 0 for n.
-2, 0, 3
Let m = -10 - -9. Let b be -3 - -2 - 3*m. Factor 0*f + 2/5*f**b + 2/5*f**3 + 0.
2*f**2*(f + 1)/5
Let y(o) be the third derivative of -o**5/90 - 2*o**4/27 - 4*o**3/27 - 8*o**2. Determine x so that y(x) = 0.
-2, -2/3
Let z(m) = 6*m**4 - 2*m**3 - 6*m**2 + 6*m + 4. Let o(c) = -17*c**4 + 6*c**3 + 17*c**2 - 17*c - 11. Let x(n) = -4*o(n) - 11*z(n). Solve x(w) = 0.
-1, 0, 1
Suppose -2*v - 20 = 3*v. Let p = -2 - v. Factor -h**3 + 0*h + h - 4 + 3 + h**p.
-(h - 1)**2*(h + 1)
Let m(i) be the second derivative of i**6/840 - i**5/280 + i**3/6 + 3*i. Let h(b) be the second derivative of m(b). Factor h(o).
3*o*(o - 1)/7
Suppose p - 14 = -4*q, -5*q + 25 = 5*p - 0*p. Factor -6 + 2*s + p + 3*s - 3*s + 2*s**2.
2*(s - 1)*(s + 2)
Factor 4*t - 2*t + 3*t - 5*t**3.
-5*t*(t - 1)*(t + 1)
What is u in -16/9*u**5 - 2/9*u - 22/9*u**2 + 0 - 6*u**3 - 50/9*u**4 = 0?
-1, -1/8, 0
Let l = 2/57 + 12/19. Factor 7/3*n**2 + 0 - l*n.
n*(7*n - 2)/3
Find g such that 8/3*g**2 - 4/3*g**3 - 2*g**4 - 2/3 + 4/3*g = 0.
-1, 1/3, 1
Let w(d) be the first derivative of 3/4*d**4 + 2/3*d**3 - 1/2*d**2 + 3 + 0*d. Determine z so that w(z) = 0.
-1, 0, 1/3
Let d = -67409/90 + 749. Let y(c) be the third derivative of -c**3 + 0 - d*c**5 - 2*c**2 - 1/6*c**4 + 0*c. Determine w so that y(w) = 0.
-3
Let f(x) = 4*x**3 + 15*x**2 + 9*x + 7. Let v(z) = 20*z**3 + 76*z**2 + 44*z + 36. Let o(n) = 16*f(n) - 3*v(n). Factor o(i).
4*(i + 1)**3
Suppose -2*d - 4*y - 2 = 0, y - 2 = 4*d - 7*d. Determine l so that -3*l**2 + 6*l - 5 - 1 + 2 + d = 0.
1
Let v be (8/(256/(-20)))/((-5)/4). Solve 0*l + 0 - 2*l**2 - v*l**4 + 2*l**3 = 0.
0, 2
Let c(z) be the first derivative of -z**6/1080 + z**5/180 - z**4/72 - z**3 + 3. Let m(j) be the third derivative of c(j). Factor m(b).
-(b - 1)**2/3
Let u(t) be the second derivative of 6/5*t**6 - 6*t + 1/2*t