t v be p(-4). Let y(k) = k + 7. Let f be y(v). Factor 3*w**2 + 2*w + 5 + w**f - 5.
w*(w + 1)*(w + 2)
Let x(d) be the third derivative of d**11/332640 - d**10/75600 + d**9/60480 + d**5/60 + d**2. Let z(j) be the third derivative of x(j). Factor z(y).
y**3*(y - 1)**2
Let l(q) = -7*q**2 - 4*q + 3. Let t(g) = -20*g**2 - 11*g + 9. Let i(o) = 11*l(o) - 4*t(o). Solve i(r) = 0.
-1, 1
Let s(d) = 2*d + 7. Let m be s(-5). Let v = m + 6. Suppose 2 - v*q - 1/4*q**3 + 3/2*q**2 = 0. What is q?
2
Suppose 4*m - 16 = -0*m, j = -2*m - 9. Let s = -11 - j. Let 0*d**4 - d**4 - s*d**2 + 3*d**2 + 4*d**4 = 0. Calculate d.
-1, 0, 1
Factor -2/21*t**4 - 14/3 - 52/7*t**2 + 32/3*t + 32/21*t**3.
-2*(t - 7)**2*(t - 1)**2/21
Solve 3/7*i - 9/7*i**2 + 3/7*i**4 - 3/7*i**3 + 6/7 = 0 for i.
-1, 1, 2
Determine c so that -3*c**2 - c**2 + 12 + 5*c + 7*c - 3*c**3 + c**2 = 0.
-2, -1, 2
Let s = -181 - -183. Factor 6/11*m**s - 2/11*m + 0 - 6/11*m**3 + 2/11*m**4.
2*m*(m - 1)**3/11
Let u(j) be the third derivative of j**8/84 + 8*j**7/105 + 2*j**6/15 - 2*j**5/15 - 5*j**4/6 - 4*j**3/3 - 3*j**2. Solve u(h) = 0 for h.
-2, -1, 1
Factor -2/5 - 4/5*i**5 - 32/5*i**3 - 12/5*i - 18/5*i**4 - 28/5*i**2.
-2*(i + 1)**4*(2*i + 1)/5
Let a(h) = 7*h**2 - 2*h + 1. Let w be a(1). Let k be (w/(-10))/((-8)/40). Find c, given that 0*c**3 - 5*c + 2*c**4 + 2*c**k + 5*c = 0.
-1, 0
Let r be -1 - 3 - 45/(-10). Factor 0*w**2 - 3/2*w - 1 + r*w**3.
(w - 2)*(w + 1)**2/2
Let p(n) be the first derivative of -n**4/12 + n**3/3 - n**2/2 - 3*n + 2. Let d(w) be the first derivative of p(w). Factor d(o).
-(o - 1)**2
Let u(l) = 3*l + 19. Let t be u(-9). Let z be t - -11 - (0 + 1). Suppose 0 - 2/7*n**4 - 2/7*n**5 + 2/7*n**z + 2/7*n**3 + 0*n = 0. Calculate n.
-1, 0, 1
Let u(r) be the third derivative of r**6/1440 - r**4/96 - r**3/2 - 4*r**2. Let x(f) be the first derivative of u(f). Suppose x(s) = 0. What is s?
-1, 1
What is x in 6*x**2 + 9/4*x - 3/2 + 9/4*x**3 = 0?
-2, -1, 1/3
Let i(z) = -5*z - 1. Let u be i(1). Let w = u + 8. Factor -2*t**w - 6*t + t**2 + 3*t**2 - 2 + 4*t**3 + 2*t**3.
2*(t - 1)*(t + 1)*(3*t + 1)
Let r be (-8)/20 + (-17)/(-10)*2. Let f be (-1)/((1/(-3))/1). Find h such that -h**2 + h**f - 3*h + 4*h + r*h**2 = 0.
-1, 0
Factor -2/3*h**2 - 2/3 - 4/3*h.
-2*(h + 1)**2/3
Let v(b) be the third derivative of b**8/672 - b**7/105 + b**6/40 - b**5/30 + b**4/48 - 19*b**2. Find q such that v(q) = 0.
0, 1
Factor -7*k**4 - 3*k**3 - 5*k**4 + 7*k**5 + 2*k**2 + 6*k**3.
k**2*(k - 1)**2*(7*k + 2)
Factor 8/11*m**4 + 0*m**2 + 2/11*m**3 + 0*m + 0.
2*m**3*(4*m + 1)/11
Suppose 0*v = -5*v - 395. Let s = -389/5 - v. Find n, given that -2/5*n**3 - s*n - 2/5 - 6/5*n**2 = 0.
-1
Let i = -7 - -10. Factor -2*a + 4*a - i*a**2 + a.
-3*a*(a - 1)
Suppose 17*w - 185 = -134. Factor 0 + 4/11*x**w - 18/11*x + 24/11*x**2 - 8/11*x**4 - 2/11*x**5.
-2*x*(x - 1)**2*(x + 3)**2/11
Suppose -3*n + 14*n = -5*n. Let n - 3/2*o**2 - 3*o = 0. Calculate o.
-2, 0
Suppose d - 7 = -4*p, 2*d - 5*p + 10*p = 11. Suppose 5*h = 5*z - 5, -2*h = d*h - 4*z + 4. Suppose 0*y + h + 2/7*y**2 + 2/7*y**4 + 4/7*y**3 = 0. Calculate y.
-1, 0
Factor -8*a + 16*a**2 + 4*a - 5*a - 4*a**3 - 7*a.
-4*a*(a - 2)**2
Suppose n + 20 = 2*n. Suppose i = 5*u + 4, -4*i - i = -n. Factor 4/11*r - 2/11*r**2 + u.
-2*r*(r - 2)/11
Let a(v) be the first derivative of -4*v**3/21 - 8*v**2/7 - 16*v/7 - 1. Factor a(l).
-4*(l + 2)**2/7
Suppose 3*g + g - 24 = -q, -5*g + 44 = 3*q. Suppose -k = -z, -4*z - 2*k = -q - 4. Let 2/3*m**z - 2/3*m**4 - 1/3*m + 1/3*m**5 + 0 + 0*m**3 = 0. Calculate m.
-1, 0, 1
Let d(p) be the first derivative of -2*p**3/3 - 2*p**2 - 2*p - 5. Factor d(k).
-2*(k + 1)**2
Let m(u) be the third derivative of -1/20*u**6 - 1/70*u**7 + 1/2*u**3 + 6*u**2 + 1/4*u**4 + 0 + 0*u + 0*u**5. Solve m(k) = 0 for k.
-1, 1
Let b(v) be the third derivative of -v**8/672 + 5*v**7/504 - v**6/45 + v**5/80 + v**4/36 - v**3/18 - 13*v**2. Find m such that b(m) = 0.
-1/2, 2/3, 1, 2
Let f be 7/2*12/7. Let y(v) = 2*v**2 + 10*v - 4. Let i(j) = -j + 1. Let n(l) = f*i(l) + y(l). Factor n(k).
2*(k + 1)**2
Let b(z) be the third derivative of -z**7/1365 + z**5/195 - z**3/39 + 10*z**2. Let b(t) = 0. Calculate t.
-1, 1
Factor -2/3*j**3 + 2/3 + 2/3*j - 2/3*j**2.
-2*(j - 1)*(j + 1)**2/3
Let l(v) be the third derivative of -v**5/20 + 2*v**3 - 31*v**2. What is a in l(a) = 0?
-2, 2
Factor 7*i**2 - 3*i**2 - 8 + 2323*i - 2319*i.
4*(i - 1)*(i + 2)
Let l(d) = -d**3 + d**2 + d. Let n(f) = 4*f**3 - 5*f**2 - 4*f. Let m(w) = 5*l(w) + n(w). Find u such that m(u) = 0.
-1, 0, 1
Let b(f) be the second derivative of f**5/80 - f**4/16 + f**3/12 - 7*f. Determine k so that b(k) = 0.
0, 1, 2
Suppose 5*t + 3*x = 20, -4*x - 16 = -3*t - 5*x. Let r(q) = -q + 7. Let u be r(t). Solve o + 2*o**3 + 2*o**3 + 5*o**2 + u*o**3 = 0.
-1, -1/4, 0
Let t(c) = 2*c + 17. Let z be t(-7). Let s(q) be the first derivative of 2/25*q**5 - 2/15*q**z - 1/5*q**4 + 2/5*q**2 + 0*q + 2. Factor s(l).
2*l*(l - 2)*(l - 1)*(l + 1)/5
Let 2 + 2/11*s**2 - 24/11*s = 0. What is s?
1, 11
Let o be 2 - (3 + -3)/(-4). Let n be ((-28)/63)/(o/(-3)). Factor n*d - 2/3*d**4 + 0 - 2/3*d**3 + 2/3*d**2.
-2*d*(d - 1)*(d + 1)**2/3
Find b such that 3/2*b**2 + 0 + 3/4*b = 0.
-1/2, 0
Let x(a) be the first derivative of -1/10*a**2 - 2/5*a + 2 + 2/15*a**3 + 1/20*a**4. Let x(c) = 0. Calculate c.
-2, -1, 1
Let j(r) = 2*r - 5. Let g be j(6). Let p(l) = -3*l**3 + 5*l**2 - l + 3. Let d(m) = 6*m**3 - 9*m**2 + m - 5. Let n(s) = g*p(s) + 4*d(s). Factor n(q).
(q - 1)*(q + 1)*(3*q - 1)
Suppose 0*s - 4*s = -8. Let 4 + 31*h**2 - 4*h - 18*h**s - 12*h**2 = 0. Calculate h.
2
Let d be (-1)/(-3 + 5)*-6. Let a(t) be the first derivative of 1 + 2*t**2 + 2*t + 2/3*t**d. Suppose a(y) = 0. Calculate y.
-1
Let j(v) be the third derivative of v**8/504 - v**7/63 + v**6/30 + v**5/45 - 7*v**4/36 + v**3/3 + 14*v**2. Suppose j(p) = 0. What is p?
-1, 1, 3
Determine y so that 2*y**2 - 34/13*y**4 + 32/13*y + 8/13 - 10/13*y**5 - 22/13*y**3 = 0.
-2, -1, -2/5, 1
Let n(f) = 0*f - 4*f + 0*f + 2*f. Let d be n(-1). Factor -4*b**d + 4*b**2 - b**4 + b**2.
-b**2*(b - 1)*(b + 1)
Let r(b) = -b + 1. Let o be r(-3). Suppose 4*m = -2*c + c + 12, 2*m + 84 = 4*c. Factor -4*a**5 + 10*a + o - c*a**3 + 8*a**4 - 2*a**5 - 28*a**4.
-2*(a + 1)**4*(3*a - 2)
Let m = 5 + -8. Let q be (1 - -2) + m - -2. Suppose 4 - 6*j**2 + 3*j**q + j**2 - 2*j + 0*j**2 = 0. What is j?
-2, 1
Let s = -277 + 280. Let 1/2*r**4 + 0*r**s - 1/2*r**2 + 0 + 0*r = 0. What is r?
-1, 0, 1
Let q(j) be the third derivative of j**9/37800 + j**8/5600 - j**6/450 + j**4/12 + j**2. Let h(k) be the second derivative of q(k). Determine l so that h(l) = 0.
-2, 0, 1
Let m = -7 - -51/7. Suppose 0*c + 2*c - 5*u - 1 = 0, -4*u + 1 = -c. Factor 4/7*q**2 - m*q**c + 0 - 2/7*q.
-2*q*(q - 1)**2/7
Factor -4/11 - 34/11*f - 90/11*f**2 + 54/11*f**4 - 54/11*f**3.
2*(f - 2)*(3*f + 1)**3/11
Let m(j) = -j**5 + 15*j**4 + 21*j**3 - 5*j. Let s(y) = -4*y**5 + 44*y**4 + 64*y**3 - 16*y. Let p(w) = 16*m(w) - 5*s(w). Factor p(n).
4*n**3*(n + 1)*(n + 4)
Let s(g) be the first derivative of 2*g**5/35 + g**4/7 - 2*g**2/7 - 2*g/7 - 2. Factor s(z).
2*(z - 1)*(z + 1)**3/7
Let f(d) be the third derivative of 7*d**6/24 - d**5 + 5*d**4/8 + 5*d**3/3 - 4*d**2. Factor f(y).
5*(y - 1)**2*(7*y + 2)
Suppose 3*t = 6 - 0, -5*n - 2*t = -4. Solve n - 1/5*d - 1/5*d**2 = 0.
-1, 0
Factor -3/8*h**3 + 0*h - 3/8*h**4 + 0 + 3/8*h**5 + 3/8*h**2.
3*h**2*(h - 1)**2*(h + 1)/8
Suppose 4*t + 8 = -4. Let m = t - -8. Suppose 0*x**3 - 1/3*x + 1/3*x**m + 2/3*x**2 + 0 - 2/3*x**4 = 0. What is x?
-1, 0, 1
Suppose -r - 5 = -5*m, -4*r - r = 3*m - 3. Let d(a) be the first derivative of 0*a**2 - 2/15*a**3 + r*a - 2. Factor d(w).
-2*w**2/5
Find t such that 0 + 4*t + 1/2*t**5 - 7/2*t**4 - 10*t**2 + 9*t**3 = 0.
0, 1, 2
Factor -2/11*o**4 - 26/11*o**2 + 16/11*o**3 + 0 + 12/11*o.
-2*o*(o - 6)*(o - 1)**2/11
Let a(x) = 3*x**2 - 20*x - 5. Let v be a(7). Let g(m) be the first derivative of -1/15*m**3 + 3 + 1/5*m**v - 1/5*m. Solve g(w) = 0 for w.
1
Let o(i) be the second derivative of -i**7/735 + i**6/210 - i**2/2 - 2*i. Let z(n) be the first derivative of o(n). Factor z(l).
-2*l**3*(l - 2)/7
Let q(a) be the third derivative of a**7/630 - a**5/180 - 11*a**2. Determine k so that q(k) = 0.
-1, 0, 1
Suppose 49 = 5*k - s, -2*k - 2*s + 24 = 2*s. Suppose -7 = -3*z + 2*p + 7, -k = z + 3*p. 