g + 1/2*w**2 + 0*w = 0.
-1, 1
Let r(y) be the first derivative of 2*y**5/35 + 2*y**4/7 + 10*y**3/21 + 2*y**2/7 - 3. Solve r(g) = 0 for g.
-2, -1, 0
Let v(k) = k**2 + 9*k + 10. Let f be v(-8). Let h(q) be the first derivative of -1/9*q**3 + 0*q + 1/15*q**5 - 1/12*q**4 + 2 + 1/18*q**6 + 0*q**f. Factor h(w).
w**2*(w - 1)*(w + 1)**2/3
Let l be -1*(-2 - 1) + (-11 - -11). Factor 4*b**2 + 6*b**l - 40/3*b + 16/3.
2*(b + 2)*(3*b - 2)**2/3
Factor 56*o**3 - 6*o - 2*o**2 - 50*o**3 + 4 + 0*o**4 - 2*o**4.
-2*(o - 2)*(o - 1)**2*(o + 1)
What is n in n**3 + 0 - 1/2*n**2 - 1/2*n**4 + 0*n = 0?
0, 1
Let l be 15/(-6)*(-16)/(-210). Let s = l - -6/7. Let s - 7/3*x**5 + 4/3*x**3 - 14/3*x**2 + x + 4*x**4 = 0. Calculate x.
-1, -2/7, 1
Let a(k) be the second derivative of k**2/2 + 8*k. Let w(q) = q**3 + 2*q**2 + q + 7. Let y(j) = -21*a(j) + 3*w(j). Solve y(m) = 0.
-1, 0
Let u(b) be the third derivative of -b**6/720 + b**5/180 - b**4/144 - 12*b**2 + 1. Factor u(z).
-z*(z - 1)**2/6
Factor 0*v + 2/7*v**2 + 0.
2*v**2/7
Let r = 443/240 + -1/80. Let l = -31/30 + r. Solve -6/5*n**2 - 1/5*n**4 + 4/5*n**3 + l*n - 1/5 = 0 for n.
1
Let t(k) be the third derivative of k**8/168 + 2*k**7/105 - k**6/30 - 2*k**5/15 + k**4/12 + 2*k**3/3 + 7*k**2. Solve t(o) = 0.
-2, -1, 1
Let w(j) = 2*j - 2. Let h be w(8). Find c such that -h*c + 14*c**2 + 2 + 1 - c - 2*c**2 = 0.
1/4, 1
Let s = -2/475 + 107/2850. Let f(k) be the second derivative of 0 + s*k**4 + 0*k**2 - 2*k - 1/15*k**3. Find w such that f(w) = 0.
0, 1
Suppose 0 = -5*l - 0*l. Suppose 2*u = -3*u - 2*j + 4, 5*u + 5*j - 10 = l. Determine r, given that -2*r**3 + 0 - 4/5*r**2 + u*r = 0.
-2/5, 0
Suppose 0 = -r - 2*r + 3*h, 5*h - 12 = -r. Factor 8 + 17*f + 12 + 2*f**2 - 29*f - r.
2*(f - 3)**2
Let x be 3 + (-97)/11 + 6. Factor -12/11*a + 18/11 + x*a**2.
2*(a - 3)**2/11
Let f(h) = -5*h + 2 - 5*h**2 + 1 + h**3 + h**2. Let t be f(5). Factor j**2 + 0*j + 0 + 3/2*j**t.
j**2*(3*j + 2)/2
Let u(t) be the first derivative of -1 - 1/3*t**6 + t**4 - t**2 + 0*t + 0*t**5 + 0*t**3. Suppose u(f) = 0. Calculate f.
-1, 0, 1
Suppose -2*q + 3 = -3. Suppose -2 = 2*w - 3*w. Factor -q*j**3 + 4*j**3 - j**w + 0*j**2.
j**2*(j - 1)
Let i = 4/13 + -15/91. Let s(k) be the first derivative of 2 + 4/7*k - 2/21*k**3 - i*k**2. Factor s(j).
-2*(j - 1)*(j + 2)/7
Let y(j) = j**3 + 10*j**2 + 2. Let s be y(-10). Let 3*x**2 + 6*x**s - 7*x**2 - 4*x = 0. What is x?
0, 2
Let a(v) be the first derivative of v**7/21 + 2*v**6/15 - v**5/10 - v**4/3 + 5*v - 9. Let g(t) be the first derivative of a(t). Factor g(o).
2*o**2*(o - 1)*(o + 1)*(o + 2)
Let h(m) = -5*m**4 - 7*m**3 - 3*m**2 + 3*m - 3. Let q(o) = 5*o**4 + 8*o**3 + 2*o**2 - 2*o + 2. Let v(u) = 2*h(u) + 3*q(u). Let v(t) = 0. What is t?
-2, 0
Let x(u) be the second derivative of -u**7/112 - u**6/10 - 33*u**5/80 - 3*u**4/4 - 9*u**3/16 - 14*u. Factor x(i).
-3*i*(i + 1)**2*(i + 3)**2/8
Let i(g) be the third derivative of -g**7/840 - g**6/360 + g**5/120 + g**4/24 - 2*g**3/3 + 5*g**2. Let r(h) be the first derivative of i(h). Solve r(p) = 0.
-1, 1
Let o(b) = -12*b**2 - 8*b. Let y(h) = 3*h**2 - 1 - 8*h**2 - 9*h - 8*h**2. Let r(k) = 5*o(k) - 4*y(k). Factor r(p).
-4*(p + 1)*(2*p - 1)
Let 0*u + 2/9 - 2/9*u**2 = 0. What is u?
-1, 1
Let l(p) be the third derivative of -p**7/5040 + p**6/1440 + p**5/120 - p**4/4 + 7*p**2. Let q(d) be the second derivative of l(d). Find k such that q(k) = 0.
-1, 2
Let a(n) be the first derivative of n**5/120 - n**4/48 - n**2 - 4. Let y(h) be the second derivative of a(h). Determine l, given that y(l) = 0.
0, 1
Let c(o) be the first derivative of -o**3/7 + 9*o**2/7 - 27*o/7 - 1. Suppose c(x) = 0. What is x?
3
Suppose 0 = -5*p - 2*g + 28, -5*g = -7*p + 2*p. Suppose 3*s + 2*s = 0. Solve 0 + s*d - 6/5*d**p - 8/5*d**3 - 2/5*d**2 = 0.
-1, -1/3, 0
Let p = 550 - 6042/11. Let -p*n + 8/11 + 2/11*n**2 = 0. Calculate n.
2
Factor 14*f - 3*f**2 - 2*f**2 - 14*f.
-5*f**2
Let r(q) be the first derivative of 3*q**3/7 - 15*q**2/14 - 6*q/7 + 45. Solve r(h) = 0.
-1/3, 2
Let s(u) be the third derivative of u**8/6720 - u**7/2520 - 5*u**4/24 + 5*u**2. Let i(k) be the second derivative of s(k). Factor i(d).
d**2*(d - 1)
Let j(f) be the second derivative of f**5/20 + f**4/4 - f**3/6 - 3*f**2/2 + 13*f. Suppose j(n) = 0. Calculate n.
-3, -1, 1
Let s = -37 + 42. Suppose -18/7*o**3 - 4/7*o - 10/7*o**4 - 2/7*o**s + 0 - 2*o**2 = 0. What is o?
-2, -1, 0
Let v(k) be the second derivative of k**7/84 - 3*k**5/40 - k**4/12 + 45*k. Let v(b) = 0. What is b?
-1, 0, 2
Let c = 108 + -103. Determine p so that -1/2 - 1/2*p**5 - 5/2*p**4 - 5/2*p - c*p**3 - 5*p**2 = 0.
-1
Let k(c) be the third derivative of c**8/84 - 8*c**7/105 + c**6/6 - 2*c**5/15 + 14*c**2. Determine g so that k(g) = 0.
0, 1, 2
Let n(p) be the third derivative of 0 + 5*p**2 + 0*p**5 - 1/27*p**3 + 1/270*p**6 - 1/54*p**4 + 0*p + 1/945*p**7. Find h such that n(h) = 0.
-1, 1
Let z(p) = -p**4 + 2*p**3 + 18*p**2 + 24*p + 9. Let h(n) = -n**4 + 5*n**3 + 36*n**2 + 48*n + 18. Let j(k) = -2*h(k) + 5*z(k). Factor j(l).
-3*(l - 3)*(l + 1)**3
Let i(c) be the second derivative of 2*c**6/195 + c**5/130 - 5*c**4/78 + 2*c**3/39 - 5*c. Suppose i(u) = 0. What is u?
-2, 0, 1/2, 1
Factor 0*t - 2/11*t**2 + 8/11.
-2*(t - 2)*(t + 2)/11
Let f(h) = h**2 - h - 2. Let y be f(-2). Suppose 4*w - 28 = -2*r, 2*r - 5*w = -6 - 11. Factor -2*o + y*o**2 + 2/5 - r*o**3 + 2*o**4 - 2/5*o**5.
-2*(o - 1)**5/5
Factor 1/4*a**5 - 1/2*a**4 + 0*a**2 + 1/4*a**3 + 0*a + 0.
a**3*(a - 1)**2/4
Factor -1/4 + 0*p + 1/4*p**2.
(p - 1)*(p + 1)/4
Let z(a) be the third derivative of a**7/735 + a**6/60 + 4*a**5/105 - 4*a**4/21 - 31*a**2. Factor z(w).
2*w*(w - 1)*(w + 4)**2/7
Suppose 0 = -26*c + 31*c - 10. Let s(n) be the first derivative of -n**c + 0*n**4 + 1/3*n**6 + 4/3*n**3 + 2 - 4/5*n**5 + 0*n. Factor s(z).
2*z*(z - 1)**3*(z + 1)
Let q(o) be the first derivative of -o**4/12 + o**3/3 + o + 2. Let f(w) be the first derivative of q(w). Factor f(a).
-a*(a - 2)
Let w(c) = c**3 - 7*c**2 + 6*c - 1. Let a be w(6). Let p be a/(3/9) + 5. Let 5*j + 6*j**2 - 3*j - p*j**3 + 5*j**3 + j = 0. Calculate j.
-1, 0
Let a(d) be the second derivative of -d**5/10 + d**4/2 - 2*d**3/3 - 8*d. Factor a(x).
-2*x*(x - 2)*(x - 1)
Let w be (-1)/(((-15)/12)/5). Solve k**3 - 4*k**2 + k + 2*k**3 - w*k**2 + 5*k**2 - k**4 = 0.
0, 1
Factor 0 - 1/4*m**3 - 1/4*m**2 + 0*m.
-m**2*(m + 1)/4
Let l be 54/(-9) - (-50)/8. Factor 0 - l*h**2 - 1/4*h.
-h*(h + 1)/4
Factor -7*y**3 - 9*y**3 + 12*y**2 - 3*y + 4*y**3.
-3*y*(2*y - 1)**2
Let a be -2*(-2)/(-8)*-2. Suppose 2*g - 4 = -0. Determine h so that -g - 2*h + a + 0 - h**2 = 0.
-1
Let f be 0 - 2/(-2) - -4. Let g(i) be the first derivative of 0*i + 2 - 1/6*i**4 + 1/9*i**2 - 2/9*i**f + 2/27*i**3 - 2/27*i**6. Let g(t) = 0. Calculate t.
-1, 0, 1/2
Solve -o**2 + 5/3*o**4 - 7/3*o - 2/3 + 7/3*o**3 = 0.
-1, -2/5, 1
Let g be 1 - (-2 - 9) - 2. Let x(b) = -b**2 + b - 1. Suppose 0*n = -4*n - 4. Let f(a) = -2*a**4 - 6*a**2 + 10*a - 12. Let i(j) = g*x(j) + n*f(j). Factor i(k).
2*(k - 1)**2*(k + 1)**2
Suppose -4 = -g - 0. What is n in 8*n - 16*n**3 + 4*n**2 + 8*n**g - 3*n**4 + 3*n**4 - 4*n**3 = 0?
-1/2, 0, 1, 2
Let q = 292 - 3210/11. Let y(w) = w**3 - 4*w**2 - w + 6. Let x be y(4). Let q*d + 0 - 4/11*d**x + 2/11*d**3 = 0. What is d?
0, 1
Let j(v) = 2*v - 1. Let p be j(8). Solve -p + 15 + i + i**2 = 0 for i.
-1, 0
Suppose -4*c + 9 = -c. Suppose c*t = 6*t - 15. Solve -1 + t*j - 2*j**2 - 3*j + 1 = 0 for j.
0, 1
Let a(u) = u**3 + u**2 + u - 1. Let x(m) = -m**3 - 7*m**2 + 7*m - 4. Let w be x(-8). Let z(p) = -2*p**3 - 2*p + 4. Let f(o) = w*a(o) + z(o). Factor f(d).
2*d*(d + 1)**2
Let h(d) be the third derivative of -d**9/5040 + d**7/840 + d**4/12 - 3*d**2. Let z(b) be the second derivative of h(b). Factor z(w).
-3*w**2*(w - 1)*(w + 1)
Let -1 - 20*n**2 + 15*n - 45*n**3 + 5*n + 5*n**4 + 10*n**5 + 1 = 0. What is n?
-2, -1, 0, 1/2, 2
Let g be (-4)/(-1)*(-20)/(-50). Solve 34/5*h**3 + 8/5*h**4 + 8*h**2 + g*h + 0 = 0 for h.
-2, -1/4, 0
Let t(u) be the third derivative of u**7/1785 - u**5/510 - 4*u**2. Determine x, given that t(x) = 0.
-1, 0, 1
Let k(p) be the second derivative of -p**6/6 - 9*p**5/4 - 25*p**4/4 + 125*p**3/6 + 8*p - 5. Determine g, given that k(g) = 0.
-5, 0, 1
Let z = -17/20 - -5/4. Let q = 185 - 917/5. Factor 2/5*j**4 + q*j + 12/5*j**2 + z + 8/5*j**3.
2*