 = 0.
-1/3, 1, 3
Let a be 15/(-6)*8/(-10). Let p = -249/2 - -125. Solve -1/4*g**a + 3/4*g - p = 0 for g.
1, 2
Let a(t) be the second derivative of -7*t**4/27 + 8*t**3/9 + 8*t**2/9 - 26*t. Solve a(c) = 0.
-2/7, 2
Let f(s) = 3*s**2 + 3*s. Let g(v) = 13*v**2 + 12*v - 1. Let q be (-11)/(-11) + -2*5. Let k(n) = q*f(n) + 2*g(n). Factor k(t).
-(t + 1)*(t + 2)
Factor -3/2*g - 3/2*g**2 + 0.
-3*g*(g + 1)/2
Suppose 3*d = 12 + 3. Find w, given that -1/2 - d*w**2 - 5/2*w**4 + 5/2*w + 1/2*w**5 + 5*w**3 = 0.
1
Let o be 2 + (-18)/(-45)*(1 - 5). Factor 2*y**3 + o*y**5 + 0 + 8/5*y**4 + 4/5*y**2 + 0*y.
2*y**2*(y + 1)**2*(y + 2)/5
Let n(v) be the third derivative of -1/6*v**5 + 0*v**4 + 0*v + 1/6*v**3 - 4*v**2 + 0 - 1/84*v**8 - 1/14*v**7 - 1/6*v**6. Factor n(f).
-(f + 1)**4*(4*f - 1)
Let v be (-4 - (3 - 1) - 2)/(-2). Let r(m) be the first derivative of 0*m + 1/22*m**v - 2/55*m**5 - 1/33*m**6 + 2/33*m**3 - 1 + 0*m**2. Factor r(z).
-2*z**2*(z - 1)*(z + 1)**2/11
Factor 0 - 2/7*m**2 - 2/7*m**3 + 0*m + 2/7*m**4 + 2/7*m**5.
2*m**2*(m - 1)*(m + 1)**2/7
Let f(u) be the second derivative of u**4/12 - 2*u**3/3 + 2*u**2 + 6*u. Suppose f(b) = 0. What is b?
2
Factor 10*q**3 - q**3 - 7*q**3 - 2*q**2 - 4*q + 0*q**2.
2*q*(q - 2)*(q + 1)
Suppose 15*z**2 + 8 - 23 + 18*z - 23*z + 5*z**3 = 0. Calculate z.
-3, -1, 1
Factor -12*u**2 - 18 - 30*u - 4*u**2 - 3*u**3 + u**3 + 2*u**2.
-2*(u + 1)*(u + 3)**2
Let w(r) be the second derivative of 2*r**7/21 + 2*r**6/5 - 4*r**4/3 - 6*r. Let w(j) = 0. What is j?
-2, 0, 1
Let r = 31/15 + -2. Let a(s) be the third derivative of -r*s**5 - 1/60*s**6 + 0 - 1/12*s**4 - s**2 + 0*s**3 + 0*s. Factor a(w).
-2*w*(w + 1)**2
Let s(k) be the first derivative of 0*k**2 - 4*k + 1/3*k**3 + 4. Suppose s(q) = 0. What is q?
-2, 2
Let b(x) be the third derivative of -x**8/560 + x**7/140 + x**6/120 - x**5/20 - x**3/3 - 3*x**2. Let w(r) be the first derivative of b(r). Solve w(l) = 0.
-1, 0, 1, 2
Let p = 2/9 + 1/36. Solve 1/4*x**3 - p*x**2 - 1/4*x + 1/4 = 0 for x.
-1, 1
Suppose 330 = 52*w + 3*w. Factor 0 - v + 3/2*v**2 + 7/2*v**4 + w*v**3.
v*(v + 1)**2*(7*v - 2)/2
Let v = -120 + 124. Let t(d) be the second derivative of -1/24*d**v + 0 + 2*d + 1/4*d**3 - 1/2*d**2. Solve t(k) = 0.
1, 2
Let z(g) be the third derivative of 0 + 1/1008*g**8 + 0*g + 1/630*g**7 + 0*g**5 + 0*g**3 - 1/180*g**6 - g**2 + 0*g**4. Let z(j) = 0. What is j?
-2, 0, 1
Let l = 73 - 68. Let s(o) be the first derivative of -2/33*o**3 - 1/11*o**4 - 2/55*o**l + 0*o**2 + 2 + 0*o. Factor s(h).
-2*h**2*(h + 1)**2/11
Find t, given that 4/5 - 6/5*t + 2/5*t**2 = 0.
1, 2
Let x(t) be the first derivative of -2*t**5/35 + 3*t**4/7 - 8*t**3/7 + 10*t**2/7 - 6*t/7 + 2. Suppose x(y) = 0. Calculate y.
1, 3
Let f be (-9)/12*(2 + -6). Let m(o) be the first derivative of -1/8*o**2 + 1/12*o**f - 1/4*o + 2 + 1/16*o**4. Factor m(a).
(a - 1)*(a + 1)**2/4
Let x(n) = -4*n**3 - n**2 - n. Let i be x(-1). Factor -y - 3 + i*y - 5*y - y**2 + 2.
-(y + 1)**2
Let r(j) be the third derivative of 1/24*j**4 - 2*j**2 + 0*j**3 + 1/60*j**5 + 0 + 0*j. Let u(i) = i**3 - 2*i**2 - 2*i + 1. Let n(v) = -r(v) - u(v). Factor n(h).
-(h - 1)**2*(h + 1)
Let p(l) be the third derivative of -l**8/336 - l**7/210 + l**6/30 + l**5/15 + 16*l**2. Factor p(y).
-y**2*(y - 2)*(y + 1)*(y + 2)
Let a(t) be the second derivative of -t**9/60480 - t**8/13440 - t**7/10080 - t**4/4 + 3*t. Let n(p) be the third derivative of a(p). Factor n(f).
-f**2*(f + 1)**2/4
Let t(h) = -h**3 + 3*h**2 + 5*h - 1. Let p be t(4). Suppose -14 = -3*b + 4*c, -2*b = -c - 3*c - 12. Solve -3*w**b + 2*w**p + 3*w**2 = 0.
0
Let r(k) be the third derivative of k**6/720 + k**5/180 + k**4/144 - 6*k**2. What is j in r(j) = 0?
-1, 0
Let t(k) = k**3 - k**2. Let q be t(0). Determine r, given that q - 2/7*r - 2/7*r**2 = 0.
-1, 0
Determine k, given that 88*k + 2 + 2 + 4*k**2 - 80*k = 0.
-1
Let o(a) = a**2 - a - 2. Let d be o(-2). Suppose -3*l - 27 = -r, d*l = 2*l - 6. Factor 3*f - 10*f**5 - f**2 - 24*f**4 - r*f**3 - 3*f**2 - 3*f.
-2*f**2*(f + 1)**2*(5*f + 2)
Let h(k) be the first derivative of -1/12*k**3 + 0*k - 3/8*k**2 + 5. Suppose h(p) = 0. Calculate p.
-3, 0
Solve k - k**3 - 4 - 10*k**4 + 4 + k**2 + 9*k**4 = 0 for k.
-1, 0, 1
Let f = 253 + -120. Let t = f - 259/2. Factor -1/2*r**4 - 4 - 9*r**2 + t*r**3 + 10*r.
-(r - 2)**3*(r - 1)/2
Factor 2*u - 288*u**3 + u**4 + 291*u**3 - 6*u.
u*(u - 1)*(u + 2)**2
Let y(z) be the third derivative of z**6/240 + z**5/40 + z**4/24 - 8*z**2. Find g such that y(g) = 0.
-2, -1, 0
Let t be (52/6)/(16/(-24)). Let d = 40/3 + t. Solve 0*q - d + 1/3*q**2 = 0.
-1, 1
Let g(b) = 25*b - 150. Let t be g(6). Solve 0 + 4/3*q**2 + 2/3*q**3 + t*q = 0 for q.
-2, 0
Let a(s) = -4 - s**3 + 0*s + 0 - 2*s - 4*s**2. Let p be a(-4). Find w, given that -3*w - w - 2*w**2 + 4*w**3 - p*w**2 + 6*w**4 = 0.
-1, -2/3, 0, 1
Let p(v) be the first derivative of -2*v**5/5 - v**4/2 + 2*v**3 + v**2 - 4*v - 40. Suppose p(y) = 0. Calculate y.
-2, -1, 1
Let i(d) be the third derivative of d**5/60 - d**3/6 - d**2. Let u(a) = -2*a**3 - 11*a**2 - 6*a + 3. Let j(h) = -5*i(h) - u(h). Find k such that j(k) = 0.
-1
Let x = 25154/2245 - 2/449. Find b, given that 10*b**3 + 16/5*b**4 + x*b + 76/5*b**2 + 16/5 + 2/5*b**5 = 0.
-2, -1
Let s = -6 + 4. Let a = s + 4. Let i**2 + 3*i**3 + a*i**3 + 6*i**2 + 2*i = 0. Calculate i.
-1, -2/5, 0
Suppose u - 3*v = -3*u + 23, -11 = 2*u + 3*v. Suppose p + 6 = u*p. Factor k**4 + 3 + 6*k**2 - 2 - p*k**3 + 2*k**3 - 4*k.
(k - 1)**4
Factor 4/7*h**3 + 8/7*h**2 - 4/7*h - 8/7.
4*(h - 1)*(h + 1)*(h + 2)/7
Let x be (15/6 + -2)*8. Suppose -6*u + x*u = 0. Factor -1/3*l + u + 1/3*l**2.
l*(l - 1)/3
Suppose -4*m + 5*u = -39, -5*m - u + 56 = -0*u. Suppose m = 2*f + 3. Determine x, given that 0*x - 2/3*x**2 + 0 + 0*x**3 + 2/3*x**f = 0.
-1, 0, 1
Let m(x) = -x - 6. Let n be m(0). Let k(t) = -3*t**3 - 2*t**2. Let l(o) = 4*o**3 + 2*o**2. Let q(u) = n*k(u) - 5*l(u). Factor q(p).
-2*p**2*(p - 1)
Suppose 15/4*i**3 + 5/2*i**2 + 0 + 0*i**4 + 0*i - 5/4*i**5 = 0. Calculate i.
-1, 0, 2
Suppose 9*w**3 - 8*w**3 - 10 + 4*w**3 - 5*w - 10*w = 0. What is w?
-1, 2
Find g such that -g**2 + 6/5*g**3 - 4/5 - 12/5*g = 0.
-2/3, -1/2, 2
Let g = -3 + 5. Factor -3*j**2 - 3*j**2 + 3*j**g + j + 4*j**2.
j*(j + 1)
Suppose -3*f = 9, 4*o + f - 14 = 3*f. Let 6*m**2 - 1 - o + 3*m + 2 - 8 = 0. Calculate m.
-3/2, 1
Let k(q) be the first derivative of 2/5*q**5 - 1/2*q**4 + 0*q**3 + 0*q + 3 + 0*q**2. Factor k(i).
2*i**3*(i - 1)
Factor 0 - 2*x**2 + 1 - 2 + 3.
-2*(x - 1)*(x + 1)
Suppose 4 = 3*b - 2*x, 2*b = -2*x + 3*x + 3. Factor 1/5*q**3 + 0 - 1/5*q - 1/5*q**4 + 1/5*q**b.
-q*(q - 1)**2*(q + 1)/5
Suppose -15 = -z - 4*z. Factor 2*i**z - 99 + 2*i**4 + 99.
2*i**3*(i + 1)
Let y(j) be the first derivative of j**7/140 - 7*j**6/240 + j**5/40 + j**4/16 - 4*j**3/3 + 4. Let u(a) be the third derivative of y(a). Solve u(t) = 0.
-1/4, 1
Let f(k) be the first derivative of -k**6/15 + 4*k**5/25 - 4*k**3/15 + k**2/5 + 12. Factor f(v).
-2*v*(v - 1)**3*(v + 1)/5
Suppose -4*y = -2*y. Solve 6*b + y*b**2 - 2 + 0*b**2 + 2*b**3 - 6*b**2 = 0 for b.
1
Let x(t) = 2*t**3 - 6*t**2 + 4*t - 6. Let o(v) = 2*v**3 - 5*v**2 + 3*v - 7. Let r(b) = 6*o(b) - 7*x(b). Let r(s) = 0. Calculate s.
0, 1, 5
Let o(i) be the second derivative of i**7/28 + i**6/30 + i**5/120 - i. Solve o(h) = 0 for h.
-1/3, 0
Let v(s) be the first derivative of 4*s**6/3 - 6*s**5/5 + s**3/6 + 9. Factor v(c).
c**2*(2*c - 1)**2*(4*c + 1)/2
Suppose 2*t = -0 + 10, -2*m = -4*t + 14. Suppose -2*g + m = -3. What is s in 7*s**3 - 4*s**g + s**2 - 4*s**3 = 0?
0, 1
Suppose -5*p + 3*d + 19 = 0, -3*p + 4*p - 3*d - 11 = 0. Suppose -5*v - 3*r = -22, 0 = p*v + 5*r - 0*r - 24. Solve 0 + 1/4*i**v - 1/4*i = 0 for i.
0, 1
Let l = 26 - 23. Factor -1/2*m**l - 1/4 + 0*m**2 + 1/4*m**4 + 1/2*m.
(m - 1)**3*(m + 1)/4
Let k(t) = -t**3 - t + 2. Let h = -5 - -8. Let w(r) = -3*r - 1. Let x(u) = 4*u + 2. Let m(q) = h*w(q) + 2*x(q). Let p(n) = -2*k(n) + 4*m(n). Factor p(d).
2*d*(d - 1)*(d + 1)
Let r(z) be the third derivative of -z**6/10 - z**5/15 + z**2. Let r(x) = 0. Calculate x.
-1/3, 0
Let w = -27 - -30. Let p(t) be the first derivative of -4*t**2 + 8*t - 2 + 2/3*t**w. Let p(i) = 0. What is i?
2
Suppose -7/3*u - 1 - 1/3*u**3 - 5/3*u**2 = 0. What is u?
-3, -1
Determine y, given that 5*y**3 + 5*y**2 - 11 - y**3 + 12*y + 15 + 7*y**2 = 0.
-