3*x + 15. Factor -4/3*s**2 + 0*s - 2/3*s**3 + t.
-2*s**2*(s + 2)/3
Let o(i) = -i**3 - 12*i**2 - 3*i - 32. Let v be o(-12). Let r(y) be the second derivative of 0*y**3 - 1/80*y**5 + 0 + y + 0*y**2 - 1/24*y**v. Factor r(x).
-x**2*(x + 2)/4
Suppose -8*n + 13*n - 15 = 0. Factor 2/7*g**2 - 2/7 + 2/7*g**n - 2/7*g.
2*(g - 1)*(g + 1)**2/7
Let k(r) be the second derivative of -r**5/150 + r**4/30 - r**3/15 + r**2 + 4*r. Let t(p) be the first derivative of k(p). What is m in t(m) = 0?
1
Factor -36*c**2 - 6*c + 11*c - 5*c - 24*c**3 - 4*c**4.
-4*c**2*(c + 3)**2
Let s = 57 + -55. Let b(m) be the first derivative of 11*m**s - 28/3*m**3 - 4*m + 1. Suppose b(q) = 0. Calculate q.
2/7, 1/2
Let f(k) be the first derivative of 3*k**5 + 39*k**4/4 + 9*k**3 - 3*k**2/2 - 6*k - 5. Factor f(p).
3*(p + 1)**3*(5*p - 2)
Let b(i) be the second derivative of -1/9*i**4 + 0*i**3 + 1/30*i**5 + i + 0*i**2 + 0. Find j such that b(j) = 0.
0, 2
Let a(j) be the first derivative of -2*j**6 - 6 + 0*j + 12/5*j**5 - 3/2*j**2 - 2*j**3 + 9/4*j**4. Determine b so that a(b) = 0.
-1/2, 0, 1
Let t(b) = b**3 + b**2 + 1. Let z(d) = -5*d**3 - 3*d**2 + 3*d - 6. Let f(h) = -6*t(h) - z(h). Let r be f(-2). Factor 2 + 2*m**r - 2 - m - m**3.
-m*(m - 1)**2
Let a(f) be the third derivative of 0*f**4 + 1/120*f**6 + 0 - 1/210*f**7 + 0*f**3 + 0*f - 2*f**2 + 0*f**5. Factor a(z).
-z**3*(z - 1)
Let a be 1/(-1) + 12/(5 + -3). Let n(f) be the second derivative of 0 + 1/70*f**a + 0*f**2 + 0*f**4 - 1/21*f**3 + f. Factor n(j).
2*j*(j - 1)*(j + 1)/7
Let f(b) = -6*b**4 - 6*b**3 - 6*b**2 - 3*b - 3. Let u(p) be the first derivative of -p**5/5 + p**4/4 + p**3/3 - p + 7. Let d(i) = f(i) - 3*u(i). Factor d(o).
-3*o*(o + 1)**3
Let z(a) be the first derivative of 2*a**3/27 - a**2/9 - 4*a/9 - 8. Factor z(m).
2*(m - 2)*(m + 1)/9
Let t(s) = 8*s**2 + 9*s. Let c(j) = -j**2. Let n(p) = 14*c(p) + 2*t(p). What is x in n(x) = 0?
-9, 0
Let d(b) be the first derivative of 1/27*b**6 + 2/27*b**3 + 0*b**2 + 2 - 1/18*b**4 - 2/45*b**5 + 0*b. Factor d(k).
2*k**2*(k - 1)**2*(k + 1)/9
Suppose 5*z - 20 = 5*b, -3*z + 9 = b - 3. Solve -2/9*y**2 + 2/9*y + b = 0.
0, 1
Let i(x) = -20*x**3 + 33*x**2 - 13*x + 2. Let q = 6 - 8. Let o(y) = y. Let j(v) = q*o(v) + i(v). Find f, given that j(f) = 0.
1/4, 2/5, 1
Let q(p) be the third derivative of -p**6/420 + 4*p**5/105 - 13*p**4/84 + 2*p**3/7 - 17*p**2. Factor q(s).
-2*(s - 6)*(s - 1)**2/7
Let f be -4 - (-2)/(3 - 2). Let z = f + 6. Find a, given that -15/4*a**3 - 9/2*a**2 - 3/4*a**z + 6 + 3*a = 0.
-2, 1
Let v(c) = -2*c**4 + 4*c**3 - c**2 - 4*c. Let w(t) = 3*t**4 - 8*t**3 + t**2 + 8*t + 1. Let b(a) = -5*v(a) - 3*w(a). Factor b(y).
(y - 1)*(y + 1)**2*(y + 3)
Let r(x) be the first derivative of 5*x**6/3 + 4*x**5/5 - 5*x**4/2 - 4*x**3/3 + 3. Determine o so that r(o) = 0.
-1, -2/5, 0, 1
Let p(o) be the second derivative of 0 + 6*o + 1/6*o**2 + 0*o**3 - 1/36*o**4. What is x in p(x) = 0?
-1, 1
Suppose 6 = -4*i + f + 2*f, 10 = -5*f. Let n(h) = 3*h + 9. Let r be n(i). Factor -2/7*a**3 + r*a - 2/7*a**2 + 0.
-2*a**2*(a + 1)/7
Let t(y) be the first derivative of -y**5/130 + y**4/39 - y**3/39 - 2*y - 2. Let o(d) be the first derivative of t(d). Factor o(u).
-2*u*(u - 1)**2/13
Find l, given that -7/5*l**4 + 0*l + 0*l**2 - 2/5*l**3 + 0 - l**5 = 0.
-1, -2/5, 0
Let q = -3 - -3. Suppose q = 4*o - 6 - 2. Find c, given that c - 1 - c**o + 2*c - c = 0.
1
Let p(w) be the third derivative of -w**6/160 + w**5/60 - w**4/96 - 9*w**2. Factor p(u).
-u*(u - 1)*(3*u - 1)/4
Solve -97*f**2 + 12*f**3 + 189*f**2 + 4*f**4 - 84*f**2 = 0 for f.
-2, -1, 0
Let p be (8/(-84))/((-3)/27). Let b = -15 + 109/7. Factor 24/7*y**2 - b + 2*y**3 + p*y.
2*(y + 1)**2*(7*y - 2)/7
Let v = -373/3 + 125. What is j in -v*j + 0 + 2/3*j**2 = 0?
0, 1
Let u(d) = 2*d**2 - 1. Let i be u(-1). Let j be (i/4)/(16/192). Factor -2/3*g**j + 8/3*g**2 - 10/3*g + 4/3.
-2*(g - 2)*(g - 1)**2/3
Let k(d) be the second derivative of -d**8/336 + d**7/105 - d**5/30 + d**4/24 + d**2/2 - 3*d. Let w(m) be the first derivative of k(m). Solve w(b) = 0 for b.
-1, 0, 1
Let z(a) = -6*a**2 + 16*a. Let c(m) = -2*m + 6*m + 0*m**2 - m**2 - m. Let v(d) = 11*c(d) - 2*z(d). Factor v(y).
y*(y + 1)
Let z be (-5)/(-30)*3 - (-6)/4. Factor -1/2*a + a**z + 0 - 1/2*a**3.
-a*(a - 1)**2/2
Let i(q) = -4*q. Let d be i(-1). Find w, given that -2*w**3 - 5*w**3 - 6*w + 2*w**d - 4 + 9*w**2 + 5 + w = 0.
1/2, 1
Let g be (16/240)/((-2)/(-5)). Let n(y) be the second derivative of 3*y + 1/12*y**4 + g*y**3 - y**2 + 0. Factor n(z).
(z - 1)*(z + 2)
Let l(s) = -4*s**2 - s**2 + 3*s - 4*s**2. Let u(k) = -19*k**2 + 6*k. Let v be (-40)/(-3) - 4/12. Let z(w) = v*l(w) - 6*u(w). Factor z(y).
-3*y*(y - 1)
Let h(x) be the first derivative of x**7/2940 + x**6/252 + x**5/60 + x**4/28 + x**3/3 + 9. Let t(l) be the third derivative of h(l). Factor t(k).
2*(k + 1)**2*(k + 3)/7
Let y(w) be the first derivative of w**4/8 + w**3/9 - w**2/4 - w/3 - 3. Factor y(k).
(k - 1)*(k + 1)*(3*k + 2)/6
Let r be (-35 + 36)/((-2)/(-4)). Solve -6/7*c**r + 4/7*c - 4/7*c**3 + 6/7*c**4 + 0 = 0 for c.
-1, 0, 2/3, 1
Factor 0 + 20/7*w**3 + 0*w + 50/7*w**2 + 2/7*w**4.
2*w**2*(w + 5)**2/7
Let w(s) = 60*s**2 - 32*s - 28. Let g(v) = 20*v**2 - 11*v - 9. Let u(l) = 8*g(l) - 3*w(l). Factor u(p).
-4*(p - 1)*(5*p + 3)
Let k = 1 - -3. Suppose k*r = -2*l - r + 8, -5*l + 20 = -2*r. Solve -4*f + 0 + f**2 + l + 0*f**2 = 0.
2
Let x(b) be the third derivative of b**5/15 - b**4/18 + 8*b**2. Factor x(h).
4*h*(3*h - 1)/3
Let z(p) be the third derivative of -5*p**7/294 - p**6/21 - p**5/70 + p**4/21 - p**3/42 - 6*p**2. Factor z(x).
-(x + 1)**2*(5*x - 1)**2/7
Let p(k) be the second derivative of -2*k + 1/90*k**5 + 0*k**2 + 0 + 1/54*k**4 + 0*k**3. Let p(f) = 0. What is f?
-1, 0
Let l(j) be the first derivative of 5*j**5 - 5*j**4/2 - 8*j**3 + 5*j**2 - j - 3. Find y, given that l(y) = 0.
-1, 1/5, 1
Suppose -3*p - 10/3 - 2/3*p**2 = 0. What is p?
-5/2, -2
Let g(i) be the second derivative of 2*i**6/15 - 3*i**5/5 + i**4/3 + 2*i**3 - 4*i**2 + 2*i. Factor g(q).
4*(q - 2)*(q - 1)**2*(q + 1)
Let o = 17 + -15. Factor -1/2 + 1/4*u + 3/4*u**o.
(u + 1)*(3*u - 2)/4
Suppose -2/3*u**2 + 2*u - 4/3 = 0. What is u?
1, 2
Factor 6*v**2 - 2*v**2 - 5*v**2 + 8*v - 3*v**2 - 4.
-4*(v - 1)**2
Suppose 5*v - 5*f = 30, v - 2*f - 2 = 8. Factor 4*l**4 + 2 + l**4 + 2*l**4 - 4*l**v - 5*l**4.
2*(l - 1)**2*(l + 1)**2
Let i(y) be the second derivative of y**7/2520 + y**6/540 + y**5/360 + y**3/3 - 3*y. Let d(z) be the second derivative of i(z). Suppose d(q) = 0. Calculate q.
-1, 0
Let u(c) be the first derivative of -c**3/4 - 3*c**2/2 - 9*c/4 + 5. Factor u(d).
-3*(d + 1)*(d + 3)/4
Let t(r) be the second derivative of -r**5/10 + r**4/2 - r**3 + r**2 + 8*r. What is b in t(b) = 0?
1
Let u be (-12)/(-18) - (-70)/6. Let i = -12 + u. What is l in 0*l**3 + 0*l**2 - i*l**4 + 0*l + 0 = 0?
0
Let y be -5 - (-3 - (0 - 0)). Let x(a) = 4*a**2 - a. Let f(q) = q**2. Let u(k) = y*x(k) + 7*f(k). Determine d so that u(d) = 0.
0, 2
Let g(o) be the third derivative of o**7/630 - 7*o**6/360 + 11*o**5/180 - 5*o**4/72 + 27*o**2. Solve g(c) = 0.
0, 1, 5
Let j(s) = -2*s**2 - 4*s + 20. Let z(c) = -6*c**2 - 12*c + 59. Let y(g) = -11*j(g) + 4*z(g). What is a in y(a) = 0?
-4, 2
Let r(t) be the second derivative of t**6/40 - 3*t**5/10 + t**4 - 8*t. Determine b so that r(b) = 0.
0, 4
Let y(a) = -a**3 + 3*a**2 + a. Let j be y(1). Factor 3*t**2 - 3/2*t**j + 3/2*t - 3.
-3*(t - 2)*(t - 1)*(t + 1)/2
Let v(r) be the second derivative of r**4/66 + 2*r**3/33 - 5*r + 3. Factor v(h).
2*h*(h + 2)/11
Let p = 11 + -11. Factor p*i**3 + i**2 + 6*i**2 - 2*i**3 - 3*i**2.
-2*i**2*(i - 2)
Let v(d) = -d**4 + d**2. Let q(o) = -5*o**4 + 107*o**3 - 557*o**2 + 1025*o - 250. Let x(k) = -3*q(k) - 6*v(k). Suppose x(h) = 0. What is h?
2/7, 5
Let b(n) = -n**2 - n + 2. Suppose l - 5*l = 0. Let q be b(l). Find j such that -j**2 - 5*j**2 + 4*j**2 + q = 0.
-1, 1
Let o = 1/387388 + -961109635/2711716. Let d = 355 + o. Suppose 8/7 - 8/7*z - d*z**3 - 2*z**2 = 0. Calculate z.
-2, 1/2
Let r = -16 - -19. Let u(y) be the first derivative of 0*y**2 + 2 - 2/21*y**r + 2/7*y. Factor u(h).
-2*(h - 1)*(h + 1)/7
Let t(s) be the second derivative of -1/8*s**2 + 3*s + 0 - 1/80*s**5 - 1/16*s**4 - 1/8*s**3. Solve t(j) = 0.
-1
Let f(l) be the third derivative of -4/21*l**4 + 0 + 0*l - 19/420*l