 -u**6/25 - u**5/10 + 2*u**4/15 + 4*u**3/15 - 4*u. Find f such that w(f) = 0.
-2, -2/3, 0, 1
Let s be 1/(1 + 72/(-74)). Factor -48*b + 17*b**2 + s*b**2 - 12*b + 24 - 21*b**3 + 3*b**4.
3*(b - 2)**3*(b - 1)
Suppose 6 = 4*c - 2. Let m = 5 - c. Factor 4*k**4 - 5*k**m + 5*k - 2 + 5 - 3*k**2 - 4.
(k - 1)**2*(k + 1)*(4*k - 1)
Let j(k) be the first derivative of -3*k**5/8 - 19*k**4/24 + k**2 - 9*k - 6. Let t(v) be the first derivative of j(v). Determine p so that t(p) = 0.
-1, -2/3, 2/5
What is x in -3/8*x + 5/8*x**2 + 0 - 1/8*x**4 - 1/8*x**3 = 0?
-3, 0, 1
Let w(g) be the first derivative of g**7/120 - g**6/240 - 7*g**5/240 + g**4/48 + g**2/2 - 2. Let k(h) be the second derivative of w(h). Factor k(n).
n*(n - 1)*(n + 1)*(7*n - 2)/4
Find c, given that -12*c + 56*c + 1 + 7 + 12*c + 98*c**2 = 0.
-2/7
Let a be ((-3)/(-42)*-4)/((-8)/14). Find w such that a*w + 1/2*w**4 + 3/2*w**2 + 3/2*w**3 + 0 = 0.
-1, 0
Suppose -16*w**4 + w**4 + 54*w**3 - 5*w**2 + 5*w**5 - 39*w**3 = 0. What is w?
0, 1
Let q(b) = -b**2 + 26*b + 3. Let z be q(26). Determine c, given that 2/5*c**4 - 6/5*c**2 + 0*c**z - 4/5*c + 0 = 0.
-1, 0, 2
Let i(g) be the third derivative of g**8/3360 + g**7/252 + g**6/45 + g**5/15 - g**4/24 - 4*g**2. Let c(q) be the second derivative of i(q). Factor c(t).
2*(t + 1)*(t + 2)**2
Let d be (12/(-10))/((-8)/(-30)). Let y = d + 19/4. Solve -1/4*j**4 + 0*j + y*j**2 + 1/4*j**5 + 0 - 1/4*j**3 = 0 for j.
-1, 0, 1
Let s be 304/28 + 140/(-14). Find d, given that s - 9/7*d + 3/7*d**2 = 0.
1, 2
Let h = -10 - -31/3. Suppose 0*z**2 + 0*z + 0 + h*z**5 + 1/3*z**3 - 2/3*z**4 = 0. What is z?
0, 1
Let g be (3 + -2 + -7)*1/(-5). Suppose -g*h**2 + 2/5 - 2/5*h + 2/5*h**3 + 4/5*h**4 = 0. What is h?
-1, 1/2, 1
Suppose 3 = -4*c - t + 17, -4*c + 4*t + 24 = 0. Suppose -5*j = -j - c. Factor 0 + 0*u + u**2 - j - u**3 + u.
-(u - 1)**2*(u + 1)
Suppose 0*j - 21 = -7*j. Let y(x) be the first derivative of -2/9*x**j + 1/15*x**5 + 0*x**2 + 1 + 0*x**4 + 1/3*x. Suppose y(r) = 0. What is r?
-1, 1
Suppose 36 = 3*g - 3*n + 6*n, -n - 60 = -5*g. Let x = -12 + g. Factor 0 - 1/3*l**2 + x*l.
-l**2/3
Let y be ((-24)/84)/(2/((-28)/10)). Solve 1/5*u + 0 + y*u**2 + 1/5*u**3 = 0 for u.
-1, 0
Let p = -254 + 511/2. Factor -p*o**2 + 3/2*o**4 + 0 + 0*o + 0*o**3.
3*o**2*(o - 1)*(o + 1)/2
Let k(i) be the second derivative of 0 + 1/15*i**3 + 2*i + 1/15*i**4 + 1/50*i**5 + 0*i**2. Suppose k(l) = 0. What is l?
-1, 0
Suppose -6 = -3*j + 6. Let x(i) be the third derivative of 0*i**3 - 2*i**2 - 1/36*i**j + 0*i + 0 - 1/90*i**5. Factor x(g).
-2*g*(g + 1)/3
Let k(w) be the first derivative of 3 + 1/2*w + 1/2*w**3 - 1/8*w**4 - 3/4*w**2. Factor k(m).
-(m - 1)**3/2
Let f(y) = -2*y**2 - 14*y + 8. Let p be f(-9). Let a(m) = -44*m**2 - 352*m - 144. Let h(k) = -5*k**2 - 39*k - 16. Let u(g) = p*h(g) + 3*a(g). Factor u(d).
4*(d + 4)*(2*d + 1)
Let q be (2 + 2)*2/4. Solve 0*l**3 - l + q*l**3 + 0*l - l**5 = 0 for l.
-1, 0, 1
Let a(c) be the first derivative of -c**4/5 - 4*c**3/15 + 2*c**2/5 + 4*c/5 + 23. Factor a(j).
-4*(j - 1)*(j + 1)**2/5
Suppose -1/5 + 0*q**3 + 0*q + 2/5*q**2 - 1/5*q**4 = 0. What is q?
-1, 1
Suppose -14*j = -12*j - 4. Let z(t) be the third derivative of 0*t - 1/60*t**4 - 1/300*t**6 + 0 + 1/75*t**5 + 0*t**3 + t**j. Factor z(m).
-2*m*(m - 1)**2/5
Factor -2*i**4 + 8*i**3 - 14*i**3 + 6*i**5 - 7*i**4.
3*i**3*(i - 2)*(2*i + 1)
Let h(f) = f**3 - 3*f**2 + f + 1. Let v be h(3). Factor -3 + 1 - j**2 - 2 - v*j.
-(j + 2)**2
What is o in -8/5*o - 24/5 - 2/15*o**2 = 0?
-6
Let x be 6/18 - 1/21. What is q in -x*q + 0*q**2 + 2/7*q**3 + 0 = 0?
-1, 0, 1
Let q(i) be the second derivative of i**6/105 + i**5/28 + i**4/28 - i**3/42 - i**2/14 + 16*i + 1. What is w in q(w) = 0?
-1, 1/2
Factor -18 - 6*c - 1/2*c**2.
-(c + 6)**2/2
Let v(w) be the third derivative of w**8/112 - w**6/10 - w**5/10 + 3*w**4/8 + w**3 + 11*w**2. Solve v(c) = 0 for c.
-1, 1, 2
Let n(u) be the second derivative of -1/14*u**7 + 3/20*u**5 + 0*u**3 - 1/10*u**6 + 0 + 1/4*u**4 - 3*u + 0*u**2. Determine d so that n(d) = 0.
-1, 0, 1
Let o(i) be the first derivative of -i**7/105 + i**6/30 - i**5/30 - i**2 - 3. Let x(m) be the second derivative of o(m). Suppose x(w) = 0. Calculate w.
0, 1
Let k(t) be the second derivative of -t**8/336 - t**7/210 + t**6/120 + t**5/60 + 3*t**2/2 + 3*t. Let g(u) be the first derivative of k(u). Factor g(d).
-d**2*(d - 1)*(d + 1)**2
What is w in 2/3*w**3 - 8/3*w**2 + 0 + 2*w = 0?
0, 1, 3
Let r(f) be the first derivative of 2*f**3/15 - f**2/5 + 8. Factor r(p).
2*p*(p - 1)/5
Let r(w) be the third derivative of -w**8/336 + w**7/210 + w**6/120 - w**5/60 - 14*w**2. Suppose r(h) = 0. What is h?
-1, 0, 1
Let m(n) be the second derivative of -n**4/4 - 2*n**3 + 15*n**2/2 - 10*n. Determine a so that m(a) = 0.
-5, 1
Let l(b) = 3*b**2 - b. Let k be l(1). Let p(g) be the first derivative of -2/3*g**3 - 2 + 0*g + 0*g**k + 1/4*g**4. Factor p(a).
a**2*(a - 2)
Let j(r) be the first derivative of r**4/18 + 10*r**3/27 - 2*r**2/3 - 21. Factor j(d).
2*d*(d - 1)*(d + 6)/9
Suppose w = -0*w + 3. Let h(r) be the first derivative of 1 + 0*r - r**2 + 1/2*r**4 + 2/5*r**5 - 2/3*r**w. Find p such that h(p) = 0.
-1, 0, 1
Factor 24*n - 6*n**2 - 9*n**3 + 13*n - 19*n + 27*n**2.
-3*n*(n - 3)*(3*n + 2)
Suppose 4*c - 3*c + 2 = 0. Let l be (2/16)/(c/(-8)). Factor 0*f + 0 - l*f**2.
-f**2/2
Let r(z) be the first derivative of 1 + 1/7*z**2 + 0*z - 4/21*z**3 + 1/14*z**4. What is v in r(v) = 0?
0, 1
Let c(k) = 8*k**3 + 4*k**2 - 4*k - 6. Let h(r) = 7*r**2 + 15*r**3 - 9*r + 6*r - 11 - 5*r. Let i(l) = -11*c(l) + 6*h(l). What is p in i(p) = 0?
-1, 0, 2
Let q = -235/3 + 79. Factor -2*w - 4/3 - q*w**2.
-2*(w + 1)*(w + 2)/3
Let i = 31/44 - -1/22. Let c(r) be the first derivative of -3*r + r**3 + 1 + i*r**4 - 3/2*r**2. Factor c(y).
3*(y - 1)*(y + 1)**2
Factor 6*z**2 - 3*z**3 + 3*z + 0*z**2 - 6 + 2*z**4 + 3*z**2 - 5*z**4.
-3*(z - 1)**2*(z + 1)*(z + 2)
Let u be (6/4)/((-21)/(-56)). Suppose h**5 + h**4 + 2*h**u + 2*h**4 - h**2 - h**3 - 4*h**4 = 0. What is h?
-1, 0, 1
Let o be (-124)/(-24) - 3 - (-4)/(-2). Let f(x) be the first derivative of 1/8*x**4 + 0*x**2 + 0*x - 2 + o*x**3. Factor f(j).
j**2*(j + 1)/2
Let d(g) be the third derivative of -g**7/75 - 19*g**6/300 - g**5/10 - g**4/60 + 2*g**3/15 - 7*g**2. What is k in d(k) = 0?
-1, 2/7
Suppose -11*z + 22 = -22. Let j(m) be the first derivative of -2*m - 13/2*m**2 + 1 - 23/4*m**z - 9*m**3 - 7/5*m**5. Factor j(w).
-(w + 1)**3*(7*w + 2)
Solve 10*a**5 - 4*a**3 - 7*a**5 - 6 + 6*a**2 + 9*a - 8*a**3 = 0.
-2, -1, 1
Let p = 35 + -20. Suppose 5*w - 10 = p. Suppose -r**3 + 3*r**2 - 2*r**2 - 7*r**5 + 8*r**w - r**4 = 0. Calculate r.
-1, 0, 1
Let x(h) be the first derivative of 7*h**6/2 - 9*h**5/5 - 18*h**4/7 - 4*h**3/7 - 19. Suppose x(s) = 0. What is s?
-2/7, 0, 1
Let c(r) = -2*r**3 - 4*r**2 - 4*r - 2. Let l be c(-2). Factor -l + 4 + 6 - 2*w**2 - 2*w.
-2*(w - 1)*(w + 2)
Let x be (-1)/4 + (6/8)/1. What is r in x*r + 0 + 1/2*r**2 = 0?
-1, 0
Suppose -2*c = 3*c - 15. Let j(p) be the third derivative of 0 - 1/60*p**6 - 3/20*p**4 - 2/25*p**5 + 0*p + 2*p**2 - 2/15*p**c. Determine o so that j(o) = 0.
-1, -2/5
Let u(c) be the first derivative of 3*c**4/4 + 32*c**3/15 + 19*c**2/10 + 2*c/5 - 7. Factor u(b).
(b + 1)**2*(15*b + 2)/5
Let d(t) = 10*t**2 + 8*t - 6. Let q(s) = 28*s**2 + 24*s - 19. Let v(a) = 11*d(a) - 4*q(a). Factor v(o).
-2*(o - 1)*(o + 5)
Let w(g) = g**3 + 8*g**2 + g + 10. Let l be w(-8). Suppose -l*h + 15 = h. Solve -4/5*x**3 + 2/5*x**h + 0*x**4 + 2/5*x + 0*x**2 + 0 = 0 for x.
-1, 0, 1
What is z in -10/3*z + 2*z**2 - 2/3*z**4 + 4/3 + 2/3*z**3 = 0?
-2, 1
Let x = -43139/165 - -1303/5. Let a = -2/11 - x. Determine l so that 0*l**3 + 0 - 1/3*l - a*l**4 + 1/3*l**5 + 2/3*l**2 = 0.
-1, 0, 1
Suppose -57 = -27*t + 8*t. Let l(z) be the third derivative of 0*z + 1/12*z**4 + z**2 - 1/3*z**t - 1/120*z**5 + 0. Let l(b) = 0. What is b?
2
Let g(n) be the first derivative of -9*n**5 + 5*n**4/2 + 15*n**3 - 5*n**2 - 5. Factor g(d).
-5*d*(d - 1)*(d + 1)*(9*d - 2)
Let t(g) be the first derivative of 2/3*g + 1/12*g**4 - 1/6*g**2 - 4 - 2/9*g**3. What is u in t(u) = 0?
-1, 1, 2
Let t(h) be the first derivative of 1/3*h + 3 + 3/4*h**2 + 7/18*h**3. Determine o, given that t(o) = 0.
-1, -2/7
Let z(o) be the first derivative of 3*o**5/5 - 2*o**3 + 3*o - 52. Factor z(g).
3*(g - 1)*