the first derivative of 2*a**k + 4 - 3/4*a**4 - 3/2*a**2 + 0*a. Factor l(m).
-3*m*(m - 1)**2
Solve -3*l**2 + 3*l**3 - 6*l + 14 - 14 + 0*l**2 = 0.
-1, 0, 2
Let j(v) = -v**3 - v. Let y(k) = -k**4 + 10*k**3 - 6*k**2 + 10*k - 1. Let f(b) = b**2 + 6*b + 3. Let m be f(-3). Let n(l) = m*j(l) - y(l). Factor n(w).
(w - 1)**4
Suppose 3*l = 2*l + w + 3, 3*w = 6. Factor 0 + 0*s**2 + 0*s**4 - 1/4*s - 1/4*s**l + 1/2*s**3.
-s*(s - 1)**2*(s + 1)**2/4
Let q = 2230/3 + -742. Factor -2/3*k - 2/3*k**2 + q.
-2*(k - 1)*(k + 2)/3
Let c be (-32)/(-40)*5/22. Factor -2/11*a**4 - c*a**2 + 0*a + 4/11*a**3 + 0.
-2*a**2*(a - 1)**2/11
Let k(h) be the second derivative of -h**8/3360 - h**7/504 - h**6/360 - h**4/4 - 4*h. Let z(g) be the third derivative of k(g). Find x, given that z(x) = 0.
-2, -1/2, 0
Let v(k) be the third derivative of k**6/10 - 14*k**5/15 + 7*k**4/6 + 8*k**3/3 + 15*k**2. Let v(x) = 0. Calculate x.
-1/3, 1, 4
Suppose -2/15*v**2 - 2/3*v - 4/5 = 0. Calculate v.
-3, -2
Let s = -3 + 6. Find j such that 5*j**4 - j**2 - s - 4*j**4 - j**2 + 4 = 0.
-1, 1
Let s(l) be the first derivative of 3/20*l**4 + 0*l + 3/10*l**2 + 6 + 2/5*l**3. Find r such that s(r) = 0.
-1, 0
Let h(m) be the second derivative of 3*m**5/10 - m**4/4 + 3*m. What is d in h(d) = 0?
0, 1/2
Let w(f) = -2*f - 1. Let r be w(-2). Factor 0*v**3 - 8*v**2 - 12 + r*v**3 + 17*v**2.
3*(v - 1)*(v + 2)**2
Let i(z) be the third derivative of 5*z**8/112 - 2*z**7/21 - z**6/24 + z**5/6 + 11*z**2. Solve i(o) = 0.
-2/3, 0, 1
Let j(x) = 2*x + 19. Let m be j(-8). Determine u, given that 3/7*u**m + 0 - 6/7*u**2 + 3/7*u = 0.
0, 1
Let k(t) = 10*t + 63. Let o be k(-6). Factor 8/3*c + 4*c**2 + 2/3*c**4 + 8/3*c**o + 2/3.
2*(c + 1)**4/3
Let u be 42/40 - 12/15. Let j(k) be the second derivative of -1/24*k**4 + k - 1/2*k**2 + u*k**3 + 0. Suppose j(s) = 0. Calculate s.
1, 2
Let o be 2/1 + -1 + -7. Let p be 3 + -2 - (-4)/o. Factor -p + 1/3*z**3 - 1/3*z + 1/3*z**2.
(z - 1)*(z + 1)**2/3
Let n = -2 + 4. Let -22*z**3 - 5*z**4 + 6*z**5 + 6*z**n - z**4 - 8 + 8*z**4 + 16*z = 0. What is z?
-2, -1, 2/3, 1
Let p(j) = -8*j**2 - 57*j + 65. Let u(s) = -7*s**2 - 58*s + 65. Let x(o) = -2*p(o) + 3*u(o). Factor x(k).
-5*(k - 1)*(k + 13)
Find z, given that 3*z**3 + 2*z - 4*z**3 - 12*z**2 - 4*z**2 + 15*z**2 = 0.
-2, 0, 1
Let c(x) be the third derivative of x**9/7560 - x**8/2016 + x**7/2520 - x**5/30 + 2*x**2. Let u(t) be the third derivative of c(t). Factor u(h).
2*h*(h - 1)*(4*h - 1)
Let q be 6/27 + (-4)/18. Let c be q/13 + (-22)/(-6). Factor -c*l**2 + 5/3*l**5 + 0 - 17/3*l**4 + 7*l**3 + 2/3*l.
l*(l - 1)**3*(5*l - 2)/3
Let w(v) be the first derivative of -v**7/210 + v**5/60 + 3*v**2/2 + 3. Let r(m) be the second derivative of w(m). Determine k, given that r(k) = 0.
-1, 0, 1
Let j = 9/4 - -1/4. Suppose 3/2*c**2 - 1/2*c**4 - j*c + 1 + 1/2*c**3 = 0. What is c?
-2, 1
Let k(c) = 7*c**4 + 10*c**3 - 22*c**2 - 5*c - 5. Let r(g) = -6*g**4 - 10*g**3 + 20*g**2 + 4*g + 4. Let q(o) = 4*k(o) + 5*r(o). Let q(m) = 0. Calculate m.
-6, 0, 1
Let z be 49/36 + 5/(-20). Factor z*o - 4/9 - 2/3*o**2.
-2*(o - 1)*(3*o - 2)/9
Suppose -j - 1 = 7*q - 12*q, 4*q - 5 = 5*j. Determine n so that 0*n**3 + 4/7*n**2 - 3/7*n**4 - 1/7*n**5 + 0*n + q = 0.
-2, 0, 1
Let z(u) = -50*u**4 - 10*u**3 + 37*u**2 - 3*u + 5. Let d(y) = y**2 + y + 1. Let o(i) = 5*d(i) - z(i). Suppose o(r) = 0. Calculate r.
-1, 0, 2/5
Let h(d) = d**4 + d**2 + d - 1. Let g(c) = -8*c**4 + 4*c**3 - 8*c**2 - 6*c + 6. Let f(k) = g(k) + 6*h(k). Factor f(r).
-2*r**2*(r - 1)**2
Determine q so that 14*q + 9 - 3*q**3 - 31*q**2 + 34*q**2 + q = 0.
-1, 3
Factor 2/3*x**2 + 8*x + 24.
2*(x + 6)**2/3
Let l(k) = -13*k. Let n(v) = -3*v. Let s = 4 + -2. Let h(j) = s*l(j) - 9*n(j). Let c(b) = b**3 + b. Let m(i) = c(i) - h(i). Determine t so that m(t) = 0.
0
Let s(h) = 6*h**2 - 29*h + 5. Let l(t) = 3*t**2 - 14*t + 2. Let w(j) = -5*l(j) + 2*s(j). Let w(y) = 0. What is y?
0, 4
Let p(d) be the third derivative of d**6/195 + d**5/390 - d**4/39 - d**3/39 + 3*d**2. Determine n so that p(n) = 0.
-1, -1/4, 1
Let t(s) be the first derivative of -5/2*s**2 - 11/2*s**3 - 5*s**4 - 8/5*s**5 - 1/2*s - 2. Solve t(r) = 0.
-1, -1/4
Let r be ((-135)/(-120) - (-2)/(-16))*3. Factor 1/3*y**2 + 1/3*y**r - 1/3*y - 1/3*y**4 + 0.
-y*(y - 1)**2*(y + 1)/3
Let d(s) be the third derivative of -s**8/6720 + s**4/24 + 2*s**2. Let u(v) be the second derivative of d(v). Factor u(r).
-r**3
Let i(u) = -u**2 - u - 1. Let m(p) = -p**5 - 4*p**4 - 5*p**3 + p**2 + 3*p + 3. Let g(n) = -6*i(n) - 2*m(n). Find l such that g(l) = 0.
-2, -1, 0
Let u = -15 - -17. Factor 0*c**2 - 4 + c**3 + 8*c - 6*c**u + c**2.
(c - 2)**2*(c - 1)
Let p = 35 - 25. Factor 2*q**3 + 3*q**5 - p*q**4 + 4*q**3 + 19*q**4.
3*q**3*(q + 1)*(q + 2)
Let b(j) be the second derivative of -4*j**7/315 - 11*j**6/225 - 3*j**5/50 - j**4/90 + j**3/45 + 9*j. What is d in b(d) = 0?
-1, 0, 1/4
Let i**4 + 19*i**2 - i**3 + 4*i**3 - 17*i**2 = 0. Calculate i.
-2, -1, 0
Let k(a) = a**4 + a**2. Let f(w) = -4*w**4 + 20*w**2 + 36*w + 16. Let v(t) = 2*f(t) + 4*k(t). Factor v(s).
-4*(s - 4)*(s + 1)**2*(s + 2)
Factor 9/4 - 3/4*b**2 - 3/2*b.
-3*(b - 1)*(b + 3)/4
Factor 2/11*u**3 + 126/11*u - 30/11*u**2 - 98/11.
2*(u - 7)**2*(u - 1)/11
Suppose 125*z - 147*z = -66. Factor 1/4*o**z - 1/4*o**2 + 1/4*o**4 - 1/4*o + 0.
o*(o - 1)*(o + 1)**2/4
Let j(c) be the first derivative of -c**4/8 - 5*c**3/2 - 75*c**2/4 - 125*c/2 + 27. Solve j(a) = 0.
-5
Factor 45 + 46 + 4*i**2 + 12*i - 4*i**4 - 12*i**3 - 91.
-4*i*(i - 1)*(i + 1)*(i + 3)
Find c, given that -4 + 3 - 2 - 9*c**2 + 3*c**3 + 4*c + 5*c = 0.
1
Let t(l) be the third derivative of l**6/80 - l**5/20 - l**4/2 - 11*l**2. Factor t(g).
3*g*(g - 4)*(g + 2)/2
Let j(t) = 5*t**4 - 37*t**3 - 81*t**2 - 71*t - 32. Let g(v) = v**4 - 9*v**3 - 20*v**2 - 18*v - 8. Let b(l) = 9*g(l) - 2*j(l). Factor b(u).
-(u + 1)*(u + 2)**3
Suppose -r**2 + r**3 + 1/2*r**4 - 1/2*r + 1/2 - 1/2*r**5 = 0. Calculate r.
-1, 1
Let d(v) = v**3 - 5*v**2 + 6*v - 4. Let o be d(4). Factor -4/9*h**3 - 2/9*h**o - 2/9 + 2/9*h + 4/9*h**2 + 2/9*h**5.
2*(h - 1)**3*(h + 1)**2/9
Let x = -135 - -135. Factor -2/5*i**2 + x*i + 2/5.
-2*(i - 1)*(i + 1)/5
Let o(m) = -m**3 + m**2 - 1. Let s = 6 - 7. Let p(t) = 1 + 10*t**2 + 5*t + 2 - 5. Let k(a) = s*p(a) + 3*o(a). Find b, given that k(b) = 0.
-1, -1/3
Let x(p) be the third derivative of 0 - 1/60*p**6 - 1/75*p**5 + 0*p**4 + 2*p**2 + 0*p**3 + 0*p + 1/75*p**7. Suppose x(d) = 0. What is d?
-2/7, 0, 1
Let u(y) = y**2 + 4*y - 8. Let k be u(-6). Factor k*d**2 + d + 5*d - 4*d + 0*d.
2*d*(2*d + 1)
Suppose -3*b = -2*b - 8. Find c, given that -b*c**4 + 21*c**2 - 6*c**4 - 4 + 46*c**3 + 26*c - 75*c**2 = 0.
2/7, 1
Let f(m) be the first derivative of 0*m**2 + 2/5*m**5 + 0*m**4 + 0*m + 2 - 2/3*m**3. What is b in f(b) = 0?
-1, 0, 1
Suppose 19 + 11 = 10*p. Let w(d) be the third derivative of 0*d + 1/8*d**4 + 0 - 1/3*d**p - 1/60*d**5 - d**2. Let w(x) = 0. Calculate x.
1, 2
Let w(n) be the first derivative of -n**4/16 + 2. What is c in w(c) = 0?
0
Let j(m) = -m**3 - m**2 + m + 1. Let i(v) = -10*v**3 - 8*v**2 + 13*v + 11. Let f(s) = -2*i(s) + 22*j(s). Determine n, given that f(n) = 0.
-2, -1, 0
Let i = -2834/3 + 945. Let 1/6 + i*p + 1/6*p**2 = 0. Calculate p.
-1
Suppose -2*w - 6 = -0. Let p be w/(-2)*(2 + 0). Factor 2/5*v**4 + 0*v + 0*v**2 + 2/5*v**5 + 0*v**p + 0.
2*v**4*(v + 1)/5
Let y(x) = -x - 8. Let j be y(-11). Suppose 2*g**j - 2*g - 1 + 0*g - 2*g**2 + 3 = 0. Calculate g.
-1, 1
Let l(o) be the second derivative of o**9/30240 - o**8/8960 + o**6/2880 + o**4/12 - o. Let n(u) be the third derivative of l(u). Factor n(a).
a*(a - 1)**2*(2*a + 1)/4
Let q be (-12)/(-36) - 10/(-6). Let b(l) be the second derivative of -1/75*l**6 + 0*l**2 + 1/50*l**5 + q*l + 0*l**3 + 0*l**4 + 0. Factor b(c).
-2*c**3*(c - 1)/5
Let q be (4/(-5))/(18/(-30)). Let n be -4 - (-3 - 4) - 3. Factor -10/3*f**2 + n + q*f - 14/3*f**3.
-2*f*(f + 1)*(7*f - 2)/3
Let b = 188/7 + -26. Factor 2/7*y + b*y**3 + 6/7*y**2 + 2/7*y**4 + 0.
2*y*(y + 1)**3/7
Let u(l) be the second derivative of -l**5/20 + l**4/18 + 7*l**3/18 + l**2/3 + 7*l. What is h in u(h) = 0?
-1, -1/3, 2
Let h be 15/5 + (-1 - -2). Find v, given that 6*v**h + 3 + 4*v**2 + 4*v**4 - 14*v**3 - 3 = 0.
0, 2/5, 1
Suppose -25*a + 36 = -16*a. Let 16/3*i + 0*i**3 - 4*i**2 - 2 + 2/3*i**a = 0. What is i?
-3, 1
