d derivative of 1/24*c**4 - 1/60*c**6 - 1/84*c**7 + 0 - 2*c - 2/3*c**3 + 1/8*c**5 + c**2. Factor t(k).
-(k - 1)**3*(k + 2)**2/2
Factor -5*b**4 + 4*b**4 - 4*b**3 + 16 + 46*b - 30*b.
-(b - 2)*(b + 2)**3
Let n(z) be the first derivative of 2*z**5/55 + 4*z**4/11 + 12*z**3/11 + 16*z**2/11 + 10*z/11 + 11. Let n(b) = 0. What is b?
-5, -1
Suppose b - 13 = -4*h, -3*h + 11 = 2*h - 4*b. Suppose -3*u**4 + u**3 - u**4 + 5*u**h + u - 4*u**2 + u**5 = 0. Calculate u.
0, 1
Let r be (-5)/((-40)/(-12))*-2. Find j, given that 6*j**2 - 21*j**2 - 6*j**r + 12*j**2 = 0.
-1/2, 0
Let h(y) = -y**3 + 11*y**2 - 11*y - 7. Let c be h(9). Factor c*o + 3*o**3 - 56*o - 6*o**4.
-3*o**3*(2*o - 1)
Let n(c) be the first derivative of -c**6/12 - c**5/2 - c**4 - 2*c**3/3 - 10. Suppose n(a) = 0. Calculate a.
-2, -1, 0
Let k(u) be the second derivative of u**7/273 + u**6/65 + u**5/65 - u**4/39 - u**3/13 - u**2/13 + 3*u. Factor k(c).
2*(c - 1)*(c + 1)**4/13
Let v(t) be the second derivative of t**5/10 - t**3 + 2*t**2 + 7*t. Let v(i) = 0. What is i?
-2, 1
Let u(y) be the first derivative of -y**6/6 + y**5/5 + y**4/4 - y**3/3 - 5. Factor u(b).
-b**2*(b - 1)**2*(b + 1)
Let v = 91/4 + -22. Let c be (-8)/44 - (-38)/88. Solve v*j - 1/4 + c*j**3 - 3/4*j**2 = 0.
1
Let d(o) be the third derivative of 1/150*o**6 - o**2 + 0*o - 1/150*o**5 - 1/525*o**7 + 0 + 0*o**4 + 0*o**3. Let d(n) = 0. What is n?
0, 1
What is o in -2/5*o**2 + 2/5*o + 0 = 0?
0, 1
Let j = -81791/88264 + 1/5192. Let c = -3/17 - j. Determine h, given that -1/4*h - 5/4*h**2 + c*h**4 + 1/2 + 1/4*h**3 = 0.
-1, 2/3, 1
Let d(q) = 17*q**2 - 7*q + 12. Let m(n) = -4 + 2*n + 0*n**2 - 7*n**2 + n**2. Let s(a) = -4*d(a) - 11*m(a). Suppose s(j) = 0. What is j?
1, 2
Let o = -145/3 + 499/9. What is t in -o*t + 154/9*t**4 - 146/9*t**2 + 98/9*t**5 - 8/9 - 34/9*t**3 = 0?
-1, -2/7, 1
Let v be (-24)/(-10) - (-2)/(-5). Let l = 38 - 32. Factor -2 - l + v + 9*w - 3*w**2.
-3*(w - 2)*(w - 1)
Let z = -127 + 391/3. Let -z*t**3 + 4/3 + 10/3*t - 4/3*t**2 = 0. What is t?
-1, -2/5, 1
Let h(q) be the first derivative of q**4/18 - q**3/3 + 2*q**2/3 - q + 6. Let m(d) be the first derivative of h(d). Suppose m(i) = 0. What is i?
1, 2
Let x = 826/3 - 270. Let -x*u - 38/3*u**2 + 8/3 - 14/3*u**3 = 0. What is u?
-2, -1, 2/7
Let n(u) be the second derivative of u**7/294 - u**6/210 - u**5/70 - 22*u. Determine v so that n(v) = 0.
-1, 0, 2
Suppose -2/9*z**3 - 1/9 + 2/3*z**2 + 1/3*z**5 - 5/9*z**4 - 1/9*z = 0. Calculate z.
-1, -1/3, 1
Let p(m) be the second derivative of 5*m**7/84 - 7*m**6/60 + m**5/20 - 13*m. Factor p(r).
r**3*(r - 1)*(5*r - 2)/2
Let b(r) = 4*r**2 - 30*r + 20. Let k(l) = -12*l**2 + 89*l - 60. Let j(d) = 17*b(d) + 6*k(d). Factor j(y).
-4*(y - 5)*(y - 1)
Factor 0 - 1/2*m**3 + 5/2*m**2 - 3*m.
-m*(m - 3)*(m - 2)/2
Suppose -13*i + 3*i = -5*i. Let a(r) be the third derivative of 0 - 1/240*r**6 + 0*r**4 - 1/120*r**5 + 0*r**3 - 2*r**2 + i*r. Factor a(f).
-f**2*(f + 1)/2
Let y(o) be the first derivative of o**4/10 - 3*o**2/5 + 4*o/5 + 7. Factor y(l).
2*(l - 1)**2*(l + 2)/5
Let r(w) = w - 2. Let k be r(5). Let y(j) be the second derivative of 0*j**2 + 0 + 1/9*j**k + 1/18*j**4 + j. Factor y(z).
2*z*(z + 1)/3
Let d(o) be the third derivative of o**7/30 + 19*o**6/120 + o**5/4 + o**4/24 - o**3/3 + 6*o**2. Factor d(k).
(k + 1)**3*(7*k - 2)
Let p(z) be the second derivative of -z**5/30 + z**3/9 + 8*z. Suppose p(u) = 0. What is u?
-1, 0, 1
Let f(x) be the first derivative of x**4/4 - x**3 + 4*x - 3. Let c be f(3). Find a such that 3*a**2 + a**2 - a**4 + 3 - 2*a**2 - c = 0.
-1, 1
Let t(v) = 4*v**4 + 4*v**3 - 8*v**2 + 4*v + 4. Let y(a) = -4*a**4 - 3*a**3 + 8*a**2 - 3*a - 4. Let b(l) = 3*t(l) + 4*y(l). Factor b(k).
-4*(k - 1)**2*(k + 1)**2
Factor -4*x + 0 - 4/3*x**2.
-4*x*(x + 3)/3
Let o(y) be the first derivative of -1/2*y**2 + 0*y + 2/3*y**3 + 1 + 1/24*y**6 + 1/20*y**5 - 1/2*y**4. Let h(t) be the second derivative of o(t). Factor h(x).
(x - 1)*(x + 2)*(5*x - 2)
Factor -1 + p**4 - 1 - 19*p**3 + p**2 + 3*p + 16*p**3.
(p - 2)*(p - 1)**2*(p + 1)
Let t be 1 - 0 - (-84)/(-112). Suppose t*r + 0*r**2 + 0 - 1/4*r**3 = 0. Calculate r.
-1, 0, 1
Let u(z) be the second derivative of -z**8/2240 + z**7/280 - z**6/80 + z**5/40 - z**4/12 - 6*z. Let f(q) be the third derivative of u(q). Factor f(r).
-3*(r - 1)**3
Let t be (28/21)/(70/15). Factor -4/7*f**2 + 2/7*f + t.
-2*(f - 1)*(2*f + 1)/7
Let t(l) be the third derivative of -l**6/540 - l**5/135 + 21*l**2. Factor t(k).
-2*k**2*(k + 2)/9
Let g(h) be the third derivative of -h**6/30 - 2*h**5/5 - 11*h**4/6 - 4*h**3 + 16*h**2. Factor g(o).
-4*(o + 1)*(o + 2)*(o + 3)
Let f(d) be the first derivative of -d**6/180 + d**5/270 + d**4/36 - d**3/27 + d**2/2 - 1. Let q(a) be the second derivative of f(a). Factor q(k).
-2*(k - 1)*(k + 1)*(3*k - 1)/9
Factor 13/3*n**2 - 28*n + 14*n**3 + 3*n**4 + 12.
(n + 3)**2*(3*n - 2)**2/3
Let f(i) = 2*i**2 - 3*i. Let q be -7*(-1 - (-15)/21). Let u be f(q). Factor 0 - 1/3*x**4 - 1/3*x**3 + 1/3*x + 1/3*x**u.
-x*(x - 1)*(x + 1)**2/3
Let d(f) = -3*f**2 + 100*f - 90. Let j(v) = v**2 - 50*v + 45. Let q(s) = 4*d(s) + 7*j(s). Suppose q(g) = 0. What is g?
1, 9
Let b be 2/10 + 1/(-5). Let h(u) be the second derivative of 0*u**2 + b - 1/12*u**4 - 1/3*u**3 + u. What is q in h(q) = 0?
-2, 0
Let j be (1 + 7/(-14))*(-6)/(-15). Determine r, given that -2/5 - j*r + 1/5*r**2 = 0.
-1, 2
Let p be 8 - -4*2/(-2). Determine v, given that -3*v**5 - 3*v**3 - v**4 - 2*v**4 - 3*v**p = 0.
-1, 0
Suppose -2*f = -m + 13, 3 - 10 = -4*m - f. Let 21/5*x**4 + 0 + 3/5*x**2 + 3*x**m + 9/5*x**5 + 0*x = 0. What is x?
-1, -1/3, 0
Let k(o) be the second derivative of -o**6/57 + 37*o**5/190 - 89*o**4/114 + 25*o**3/19 - 18*o**2/19 + 24*o. Solve k(z) = 0 for z.
2/5, 1, 3
Let i(w) be the first derivative of 4*w**3/27 + 4*w**2/9 - 1. Factor i(y).
4*y*(y + 2)/9
Let v = 19 - 56/3. Let b(a) be the second derivative of -1/5*a**5 + 0 - 1/15*a**6 + a + 1/21*a**7 + v*a**3 - a**2 + 1/3*a**4. Solve b(r) = 0.
-1, 1
Let c be -8*(-6 - (-94)/16). Factor 1/3*r**2 - 4/3*r + c.
(r - 3)*(r - 1)/3
Let u(p) be the first derivative of 3*p**4/4 + 4*p**3 + 15*p**2/2 + 6*p + 5. Find x, given that u(x) = 0.
-2, -1
Let j(n) = n**3 - 3*n**2 - n + 3. Let m be j(3). Suppose -2/7*i**3 + m*i + 0 - 2/7*i**2 = 0. What is i?
-1, 0
Let o = -2 + 2. Let y = o - -4. Factor -2*q**3 - 2*q**2 - 2*q**2 + 2*q**2 + 2*q + 2*q**y.
2*q*(q - 1)**2*(q + 1)
Let z be 2*(-3)/12*0. Suppose -4 = -2*i - z. Determine t, given that 2/9*t**i + 2/9 + 4/9*t = 0.
-1
What is v in 4/7 + 0*v**2 + 2/7*v**3 - 6/7*v = 0?
-2, 1
Let n(y) be the second derivative of y**6/105 - y**5/35 + y**4/42 - 11*y. Let n(s) = 0. Calculate s.
0, 1
Let w be -5 - -6 - (-6)/2. Suppose -2/5*x + 6/5*x**2 + 0 - 8/5*x**w + 0*x**3 = 0. Calculate x.
-1, 0, 1/2
Suppose 0 = 6*m - m - 3*t - 19, 0 = -5*m - t + 7. Let a be (0/(-2 - -5))/m. Suppose 1 - i**3 + 3*i + a + 3 - 2 = 0. Calculate i.
-1, 2
Let t be (-1)/9*-33 - 3. Let z(p) be the second derivative of -3*p + t*p**4 + 4/5*p**5 + 0 - 31/15*p**6 + 0*p**3 + 0*p**2 - 5/3*p**7. What is f in z(f) = 0?
-1, -2/7, 0, 2/5
Let u(n) = -n**3 + 2*n**2 + 3*n + 3. Let z be u(3). Factor z*y - 2*y + 2*y**3 - 3*y**2 + y**3 - y**4.
-y*(y - 1)**3
Let g(j) be the first derivative of j**3/3 + j**2/2 + 8. Suppose g(c) = 0. Calculate c.
-1, 0
Suppose -25 = -0*r - 3*r - 5*b, -2*b + 10 = 3*r. Let v(j) be the first derivative of 1 + r*j + 0*j**2 - j**4 - 2/3*j**3. Factor v(k).
-2*k**2*(2*k + 1)
Let w be 3*(-2 - -1)*1. Let m be w*(-2 - 1)/3. Determine x so that 2/5*x**2 - 2/5*x**m + 2/5*x - 2/5*x**4 + 0 = 0.
-1, 0, 1
Let d(b) be the first derivative of -b**6/720 + b**4/48 + 2*b**3/3 - 2. Let q(k) be the third derivative of d(k). Factor q(f).
-(f - 1)*(f + 1)/2
Let m be 2 + (2 + 2/(-4) - 3). What is d in m*d**2 - 1/4*d + 0 - 1/4*d**3 = 0?
0, 1
Let p(q) be the first derivative of 1/15*q**3 + 0*q**2 - 1/30*q**4 - q + 1/75*q**6 - 1/50*q**5 + 1. Let s(y) be the first derivative of p(y). Factor s(u).
2*u*(u - 1)**2*(u + 1)/5
Suppose 2 + 4 = 3*v. Factor i**3 - 2*i + 0*i**3 + 2*i**v + i**3 - 2*i**4.
-2*i*(i - 1)**2*(i + 1)
Suppose -3*k + 5 = -4. Suppose 0 = p + k*p - 8. Find q such that 3 - 2*q**2 + 0*q**2 + 3*q**2 + p*q - 2 = 0.
-1
Let q be 180/46 + (-24)/(-276) - 4. Find h such that -2/3*h + q - 7/3*h**2 - 5/3*h**3 = 0.
-1, -2/5, 0
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