*w + 4*w**4 - 2 + 3*w = 0. What is w?
-1, -1/2, 1
Let m be 1/3*(-4 - -7). Suppose -6 + m = -g. Factor 0 + 0*r**4 - 1/3*r**g + 0*r**2 + 1/3*r**3 + 0*r.
-r**3*(r - 1)*(r + 1)/3
Let x be (-14)/(-12) + 34/(-68). Suppose -x*g**2 - 2/3*g**3 - 2/9*g + 0 - 2/9*g**4 = 0. Calculate g.
-1, 0
Let x(j) be the second derivative of j**6/720 - j**5/60 + j**4/12 - 2*j**3/3 - 3*j. Let z(n) be the second derivative of x(n). Let z(r) = 0. Calculate r.
2
Let z be -1*(0 + (3 - 6)). Find o such that -2/5*o - 6/5*o**z + 2/5*o**4 + 0 + 6/5*o**2 = 0.
0, 1
Let o(w) be the third derivative of w**5/150 + w**4/20 + 4*w**2. Factor o(k).
2*k*(k + 3)/5
Let c(i) be the second derivative of -i**4/30 + 2*i**3/5 + 7*i**2/5 + 24*i. Determine q so that c(q) = 0.
-1, 7
Factor 5*v**3 - 18*v - 5 + 0*v**2 + 13*v + 3*v**2 + 2*v**2.
5*(v - 1)*(v + 1)**2
Let r = 30223/47 - 643. Let j = r + 227/188. Find k, given that -j*k - 7/4*k**2 + 1/2 = 0.
-1, 2/7
Let k be 6/7 - (5 + (-296)/56). Solve -40/7*y - 50/7*y**2 - k = 0 for y.
-2/5
Let v(i) be the third derivative of i**8/60480 + i**7/7560 + i**6/2160 + i**5/20 + 4*i**2. Let q(d) be the third derivative of v(d). Find y such that q(y) = 0.
-1
Let p(y) = 7*y - 87. Let m be p(13). Let r(j) be the first derivative of 0*j + 9/2*j**m + 12*j**3 + 3 + 3/5*j**5 + 12*j**2. Determine i, given that r(i) = 0.
-2, 0
Let i be 3/9*-3 - 0. Let t(f) = f**3 + f - 1. Let c(u) = 2*u**3 - 4*u**2 + 10*u - 2. Let j(o) = i*c(o) + 6*t(o). Find z, given that j(z) = 0.
-1, 1
Let r(q) be the first derivative of -q**5/5 - 5*q**4/16 - q**3/12 - 3. Let r(j) = 0. What is j?
-1, -1/4, 0
Suppose -6 = 5*u + 4*x, -2*u + 2*x + 8 = x. Let 2/3*k**u + 1/3*k**3 - 2/3 - 1/3*k = 0. Calculate k.
-2, -1, 1
Let n(w) be the second derivative of 3*w + 0*w**2 + 0 - 2/21*w**3 - 1/42*w**4. Factor n(o).
-2*o*(o + 2)/7
Solve -2/9*t**3 + 0 + 10/9*t**2 - 8/9*t = 0.
0, 1, 4
Let o(p) be the first derivative of -2*p**6/3 - 4*p**5 - 7*p**4 + 4*p**3/3 + 16*p**2 + 16*p - 3. What is j in o(j) = 0?
-2, -1, 1
Let v(s) = -s**4 - 6*s**3 - 6*s**2 - 4*s. Let q be ((-4)/5)/((-4)/10). Let u(c) = -c**4 - 5*c**3 - 5*c**2 - 3*c. Let g(b) = q*v(b) - 3*u(b). Factor g(w).
w*(w + 1)**3
Let f = -41412 + 1159695/28. Let q = -38/7 + f. Factor q*k**4 + 1/2*k**3 + 1/4*k**2 + 0*k + 0.
k**2*(k + 1)**2/4
Solve 2/3*c**3 + 0*c**2 + 0 + 2/3*c**5 + 4/3*c**4 + 0*c = 0.
-1, 0
Solve 0 + 2/7*n**5 - 4/7*n**4 + 4/7*n**2 + 0*n**3 - 2/7*n = 0.
-1, 0, 1
Let d(q) = -3*q**3 - 5*q**2 + 4*q - 8. Let i(a) = -8*a**3 - 15*a**2 + 13*a - 23. Let b(p) = -11*d(p) + 4*i(p). Factor b(z).
(z - 2)**2*(z - 1)
Let m(x) be the first derivative of x**8/1176 + x**7/735 + x**2/2 + 4. Let f(a) be the second derivative of m(a). Solve f(b) = 0 for b.
-1, 0
Let x(a) be the second derivative of -a**7/840 + a**6/360 + a**5/120 - a**4/24 + a**3/3 + a. Let c(s) be the second derivative of x(s). Solve c(w) = 0 for w.
-1, 1
Suppose 4*w = -6*p + 3*p - 59, 4*p - 10 = w. Let u be (-62)/w - (-6)/(-42). Suppose -u*r**4 + 2*r + 4*r**2 + 4/7*r**3 - 18/7*r**5 + 2/7 = 0. Calculate r.
-1, -1/3, 1
Let k be -9 + 6 - (3 + (-140)/22). Factor 6/11*z**2 + k*z + 0 + 2/11*z**3.
2*z*(z + 1)*(z + 2)/11
Let i(c) be the second derivative of -1/4*c**2 + 1/40*c**5 - 1/8*c**4 + 0 - 3*c + 1/4*c**3. Determine d so that i(d) = 0.
1
Let n = -16 - -19. Let -44*b - 3*b**n + 3*b**3 - 2*b**4 + 40*b + 6*b**2 = 0. What is b?
-2, 0, 1
Let z(n) be the third derivative of 0 + 1/270*n**5 - n**2 + 1/36*n**4 + 0*n + 2/27*n**3. Factor z(l).
2*(l + 1)*(l + 2)/9
Factor -31*y**2 - 21*y - 16 - 4*y**2 - 14 + 136*y.
-5*(y - 3)*(7*y - 2)
What is x in -9/4*x**5 + x + 1/2*x**4 + 27/4*x**3 + 0 - 6*x**2 = 0?
-2, 0, 2/9, 1
Let q(u) = 18*u - 34. Let o(i) = i**2 + i - 1. Let b(l) = -4*o(l) + 2*q(l). Factor b(p).
-4*(p - 4)**2
Factor 8/5*k + 6/5 + 2/5*k**2.
2*(k + 1)*(k + 3)/5
Let a(p) be the first derivative of 1/3*p**2 + 0*p + 3 + 1/6*p**4 + 4/9*p**3. Let a(r) = 0. What is r?
-1, 0
Let v be 0/((-3)/6*2). Suppose g = 3*d - g, -2*d - g + 7 = v. Factor c**3 + 4*c**2 - 2*c**2 - 3*c**d.
c**2*(c - 1)
Let p(n) be the third derivative of -n**5/120 - n**4/12 + n**2. Find k such that p(k) = 0.
-4, 0
Suppose -2*d = -6*l + l, -l = d. Let u(r) be the third derivative of 0*r - 1/30*r**5 - 1/120*r**6 - 1/24*r**4 + d*r**3 - 2*r**2 + 0. Factor u(b).
-b*(b + 1)**2
Let y(b) = 8*b**2 - 12*b + 4. Let r(l) = l**2 - l. Let t(u) = -4*r(u) - y(u). Factor t(o).
-4*(o - 1)*(3*o - 1)
Factor 0 - 3/2*q + 3*q**2 - 3/2*q**3.
-3*q*(q - 1)**2/2
Let d(f) = -7*f**2 + 68*f - 578. Let t(m) = 11*m**2 - 102*m + 867. Let h(y) = 8*d(y) + 5*t(y). Let h(j) = 0. What is j?
17
Factor -z**3 + 2*z**4 + 3*z**3 - 28*z**4 + 4*z**3 + 8*z**5.
2*z**3*(z - 3)*(4*z - 1)
Suppose 57 = 6*w + 15. Let z(i) be the second derivative of 2*i + 0*i**3 + 0*i**4 - 1/42*i**w + 0 - 1/20*i**5 - 1/15*i**6 + 0*i**2. Factor z(p).
-p**3*(p + 1)**2
Suppose -27 = -4*q + 3*o + 2, -2 = -q - o. Let x(l) = 24*l**2 - 15*l. Let d(n) = -49*n**2 + 31*n - 1. Let f(v) = q*x(v) + 3*d(v). Factor f(t).
-3*(3*t - 1)**2
Let f(p) = p**2 - p. Let w(g) = g**2 - 6*g + 0*g**2 - 2*g**2 + 16. Let a(x) = 2*f(x) + w(x). Suppose a(j) = 0. Calculate j.
4
Suppose -3*a = 3*a. Let g(o) be the third derivative of -1/120*o**5 - 2*o**2 + 0*o**3 - 1/48*o**4 + 0 + a*o. Factor g(l).
-l*(l + 1)/2
Let k = 641 + -2563/4. Factor -1/4*j**3 + 0*j - k*j**2 + 0.
-j**2*(j + 1)/4
Let s(r) be the second derivative of -r**6/135 + r**5/90 + r**4/18 - r**3/27 - 2*r**2/9 - 2*r. Let s(a) = 0. Calculate a.
-1, 1, 2
Find u such that -375*u**5 - 108*u**4 + 26*u**2 + 14*u**2 - 292*u**4 + 5*u + 10*u**3 = 0.
-1, -1/5, 0, 1/3
Suppose l = -6*l + 84. Let u be l/(-14)*(-35)/10. Let 2/7*t**u + 0*t**2 - 6/7*t + 4/7 = 0. What is t?
-2, 1
Let w(b) be the second derivative of b**5/20 + b**4/12 - b**3/3 - 7*b. Solve w(d) = 0.
-2, 0, 1
Let h(j) = 5*j**3 + 5*j**2 - 4. Let x be -1 + 1*(-1 - 2). Let u(v) = -6*v**3 - 6*v**2 + 5. Let o(m) = x*u(m) - 5*h(m). Suppose o(q) = 0. What is q?
-1, 0
Let p(r) be the second derivative of -r**4/18 + r**3/3 + 3*r. Let p(b) = 0. Calculate b.
0, 3
Let c(i) = 6*i**3 + 12*i**2 - 15. Suppose -d - 1 - 3 = 0. Let b(l) = -7*l**3 - 13*l**2 + 16. Let f(x) = d*c(x) - 3*b(x). What is u in f(u) = 0?
-2, 1
Suppose -16*x = -47 + 15. Find h such that 9/5*h**x + 27/5 + 27/5*h + 1/5*h**3 = 0.
-3
Let m(s) be the first derivative of -3 - 1/5*s**2 + 0*s + 2/25*s**5 + 2/5*s**3 - 3/10*s**4. Factor m(a).
2*a*(a - 1)**3/5
Let o(n) = n**3 + 19*n**2 + 33*n - 15. Let u be o(-17). Solve 2/17*a**4 + 4/17*a - 6/17*a**3 + 2/17*a**5 + 0 - 2/17*a**u = 0.
-2, -1, 0, 1
Suppose -35*k**2 - 19*k**4 - 5*k - 6*k**3 - 5*k**4 - 16*k**4 - 64*k**3 = 0. What is k?
-1, -1/2, -1/4, 0
Let s = 418 - 414. Solve n + 1/4*n**s + n**3 + 3/2*n**2 + 1/4 = 0.
-1
Suppose -4*o - 14 + 22 = 0. Solve -1/2*u - 2*u**o - 3/2*u**3 + 0 = 0.
-1, -1/3, 0
Let y(o) be the third derivative of 0*o + 0 - 1/112*o**8 - 2*o**2 - 1/210*o**7 + 1/24*o**6 - 1/12*o**4 + 1/60*o**5 + 0*o**3. Suppose y(h) = 0. Calculate h.
-1, 0, 2/3, 1
Suppose 2*z = 6*z - 8. Let r be (16/(-36))/((-6)/9). Factor 8/3 + 8/3*h + r*h**z.
2*(h + 2)**2/3
Let i(w) be the second derivative of w**4/54 + 2*w**3/27 + w**2/9 + w. Factor i(k).
2*(k + 1)**2/9
Let r(h) = h**2 + 7*h. Let z(s) = -15*s**2 - 111*s. Let n = -2 - 1. Let b be -31 + -1 + 2 + n. Let a(c) = b*r(c) - 2*z(c). Factor a(v).
-3*v*(v + 3)
Suppose -10/7 + 2/7*q**2 + 8/7*q = 0. What is q?
-5, 1
Let x(h) be the second derivative of -h**4/20 - 2*h**3/5 - 9*h**2/10 - 23*h. Determine q, given that x(q) = 0.
-3, -1
Let j(l) be the second derivative of l**6/120 - l**5/80 + 4*l. Factor j(w).
w**3*(w - 1)/4
Let h(r) be the first derivative of -r**4/9 - r**3/6 + r**2/6 + 3*r + 5. Let a(q) be the first derivative of h(q). Factor a(d).
-(d + 1)*(4*d - 1)/3
Suppose -60 = -14*v + 2*v. Let t(w) be the second derivative of -1/8*w**v + 2*w - 1/60*w**6 - 3/8*w**4 - 7/12*w**3 - 1/2*w**2 + 0. Determine y so that t(y) = 0.
-2, -1
Let d(j) be the second derivative of 0*j**2 - 1/12*j**4 + 1/6*j**3 + 0 + 3*j. Factor d(w).
-w*(w - 1)
Determine b so that 4*b**2 - 4*b - b + 0*b + 10*b**3 - 9*b**2 = 0.
-1/2, 0, 1
Suppose 10 = 2*v + 2*k, 3*k = 7 + 5. Let n(q) = 4*q**2 - q. Let c be n(v). Factor 2*u**c - 2*u**2 + 1/5*u**5 + u - u**4 - 1/5.
(u - 1)**5/5
Let r(d) = 20*d**2 + 3*d + 5. Suppose 18 = 5*k - 7. Le