 2*w**3 + 2*w**2 - 2*w - 9. Let r(i) = q*s(i) - 7*f(i). Factor r(c).
(c - 1)*(c + 1)**2
Let r(q) be the first derivative of -25*q**3/4 + 15*q**2 - 12*q + 69. Solve r(k) = 0 for k.
4/5
Let c(t) be the second derivative of t**6/105 - t**5/14 + 2*t**4/21 + t - 6. Factor c(l).
2*l**2*(l - 4)*(l - 1)/7
Let h be (5 - 1)/((-44)/(-33)). Find a such that -46/7*a**2 + 16/7 - 44/7*a + 2*a**h = 0.
-1, 2/7, 4
Let h(o) be the second derivative of o**8/23520 + o**7/8820 - o**4/3 + 3*o. Let f(m) be the third derivative of h(m). Factor f(x).
2*x**2*(x + 1)/7
Let w(o) = 144*o - 135. Let z(p) = p**2 + 143*p - 138. Let k(c) = 2*w(c) - 3*z(c). Let k(y) = 0. Calculate y.
-48, 1
Determine j, given that 27 + 5*j**2 + 299*j - 2*j**2 - 269*j = 0.
-9, -1
Let t(q) be the first derivative of -7*q**3/3 - 3*q**2/2 + 4*q - 46. Let l(s) = -20*s**2 - 8*s + 11. Let g(i) = 6*l(i) - 17*t(i). Suppose g(h) = 0. Calculate h.
1, 2
Determine c so that 15/7*c**4 + 36/7*c + 60/7*c**2 - 69/7*c**3 + 0 = 0.
-2/5, 0, 2, 3
Factor 16/3*k**2 - 2/3*k**3 + 8 - 38/3*k.
-2*(k - 4)*(k - 3)*(k - 1)/3
Factor 72*c**2 - 57*c**2 - 31 + 12*c**3 + 31 + 6*c + 3*c**4.
3*c*(c + 1)**2*(c + 2)
Let j(y) = -9*y**3 - y. Let a(n) = -8*n**3. Let w(m) = -5*a(m) + 4*j(m). Factor w(h).
4*h*(h - 1)*(h + 1)
Let z(g) be the second derivative of -g**6/540 - g**5/45 - g**4/9 + 2*g**3/3 - 11*g. Let v(h) be the second derivative of z(h). Factor v(w).
-2*(w + 2)**2/3
Let k(p) be the third derivative of p**5/12 - 95*p**4/24 - 50*p**3/3 + 480*p**2. Factor k(b).
5*(b - 20)*(b + 1)
Let p be ((-14)/4*(0 - 4))/(440/880). Factor -8*x**5 + 0*x + 3/2*x**2 + p*x**4 - 25/2*x**3 + 0.
-x**2*(x - 3)*(4*x - 1)**2/2
Let y = -4627/24 + 1545/8. Factor -2/3 + 8/3*c**2 - 5/3*c**3 - y*c.
-(c - 1)**2*(5*c + 2)/3
Let t = -547 + 547. Factor -1/2*f + 7/4*f**3 + 5/4*f**2 + t.
f*(f + 1)*(7*f - 2)/4
What is u in -4 + 4*u**2 - 2/9*u + 2/9*u**3 = 0?
-18, -1, 1
Factor 0 + 2*s + s**3 + 7/2*s**2 - 1/2*s**4.
-s*(s - 4)*(s + 1)**2/2
Suppose -26 = -2*m - 0*m. Let l(k) = 8*k**3 - 43*k**2 + 93*k. Let p(n) = -4*n**3 + 22*n**2 - 46*n. Let t(f) = m*p(f) + 6*l(f). Factor t(o).
-4*o*(o - 5)*(o - 2)
Let k(f) be the second derivative of -2*f**2 + 6*f + 0 + 1/30*f**5 + 1/6*f**4 + 1/3*f**3. Let h(d) be the first derivative of k(d). Factor h(o).
2*(o + 1)**2
Let v(o) = -2*o**2 - 24*o - 18. Let r be v(-11). Let c(j) be the second derivative of 0 - 2*j + 1/7*j**2 + 1/42*j**r - 2/21*j**3. Let c(s) = 0. What is s?
1
Suppose 4*p - 151 = -139. Let n(w) be the first derivative of 8*w**2 + 16/3*w + 20/9*w**p + 5. Factor n(a).
4*(a + 2)*(5*a + 2)/3
Suppose 35 - 37 = -i. Let n(z) be the first derivative of -9 + 1/8*z**6 + 64*z**3 + 18*z**4 + 12/5*z**5 + 96*z**i + 0*z. Suppose n(t) = 0. What is t?
-4, 0
Solve 3*x**3 + 4*x**2 + 1/2*x**4 + 0*x + 0 = 0.
-4, -2, 0
Let p(i) be the second derivative of -i**6/210 - 3*i**5/140 - i**4/28 - i**3/42 - 41*i. Factor p(d).
-d*(d + 1)**3/7
Let o(j) = -j**2 - 22*j - 44. Let u(g) = -9*g**2 - 219*g - 438. Let f(z) = -21*o(z) + 2*u(z). Suppose f(y) = 0. What is y?
-4
Factor -5/2 - 7/2*m**2 - 1/2*m**3 - 11/2*m.
-(m + 1)**2*(m + 5)/2
Let g(o) be the first derivative of 125*o**3/6 - 15*o**2 + 18*o/5 - 110. Let g(l) = 0. What is l?
6/25
Factor -178/21*n**2 + 20/7*n - 2/7*n**3 + 0.
-2*n*(n + 30)*(3*n - 1)/21
Let y(k) be the first derivative of k**7/126 - k**5/60 - 43*k - 34. Let u(n) be the first derivative of y(n). Factor u(g).
g**3*(g - 1)*(g + 1)/3
Let h be (-1)/(-1)*(0 - 2/(-6)). Let n(v) be the second derivative of -3*v + 1/30*v**6 - 1/12*v**4 - h*v**3 + 0 + 1/10*v**5 + 0*v**2. Factor n(i).
i*(i - 1)*(i + 1)*(i + 2)
Let u(m) be the third derivative of -m**5/45 - 47*m**4/18 - 92*m**3/9 + 4*m**2 + 117*m. Factor u(x).
-4*(x + 1)*(x + 46)/3
Let b(o) be the second derivative of 5*o**7/42 - o**6 + o**5 + 5*o**4/2 - 25*o**3/6 + 12*o + 3. Factor b(v).
5*v*(v - 5)*(v - 1)**2*(v + 1)
Suppose -n = 75 - 78. Let s(r) be the third derivative of 0*r**4 + 0*r + 0 - 1/40*r**6 + 0*r**n + 0*r**5 - 4*r**2. Factor s(d).
-3*d**3
Let q(a) be the first derivative of -a**4/4 - 11*a**3/3 - 16*a**2 - 28*a - 263. Factor q(c).
-(c + 2)**2*(c + 7)
Let y(c) be the third derivative of 0*c**5 + 0*c**4 + 1/168*c**8 - 15*c**2 + 0 + 1/105*c**7 - 1/30*c**6 + 0*c**3 + 0*c. Find t, given that y(t) = 0.
-2, 0, 1
Suppose -5 + 11 = u. Let k(f) = 3*f**3 + 6*f**2 + 36*f + 48. Let z(i) = -2*i**3 - 5*i**2 - 36*i - 48. Let s(y) = u*z(y) + 5*k(y). Find b, given that s(b) = 0.
-2, 4
Suppose 9*d + 24 = 15*d. Let j(t) be the first derivative of -2/3*t**d - 2/3*t**2 + 0*t - 10/9*t**3 + 2 - 2/15*t**5. Suppose j(c) = 0. What is c?
-2, -1, 0
Let r be (32/(-4) - -5)/((-6)/56). Let s(k) = -8*k**2 - 136*k + 28. Let a(n) = -n**2 - 15*n + 3. Let u(c) = r*a(c) - 3*s(c). Solve u(v) = 0 for v.
-3, 0
Let u be 10 - (10 - -3) - -6. Factor -2/3*x**u + 14/3*x**2 + 0*x + 0.
-2*x**2*(x - 7)/3
Suppose -28*d = 268 - 16. Let l = d + 9. Suppose 12/5*r**4 - 16/5*r - 16/5*r**2 + l + 4*r**3 = 0. Calculate r.
-2, -2/3, 0, 1
Let y(f) be the second derivative of f**6/285 - 3*f**5/190 - f**4/19 + 8*f**3/57 - 27*f. Find a such that y(a) = 0.
-2, 0, 1, 4
Let y(w) be the second derivative of w**4/24 + 3*w**3/4 + 151*w. Factor y(a).
a*(a + 9)/2
Let k(b) be the second derivative of b**5/4 + 125*b**4/12 + 235*b**3/6 + 115*b**2/2 + 11*b - 2. Factor k(z).
5*(z + 1)**2*(z + 23)
Let j = -1467 + 17605/12. Let u(t) be the third derivative of j*t**3 + 5*t**2 + 0 + 0*t - 1/24*t**4 + 1/120*t**5. Determine o so that u(o) = 0.
1
Let w be (-1197)/665*(-1)/3. Factor 0*h + 3/5*h**4 + 3/5*h**3 + 0 - 3/5*h**2 - w*h**5.
-3*h**2*(h - 1)**2*(h + 1)/5
Suppose -19 = -5*x - 4*p, -4*p + 0 + 1 = -x. Factor -111*a**2 + 244 + x - 315*a - 5*a**3 - 2 + 186*a**2.
-5*(a - 7)**2*(a - 1)
Let t(l) be the first derivative of 7*l**3/9 - l**2 - l/3 + 134. Factor t(u).
(u - 1)*(7*u + 1)/3
Let 21*z**3 + 24*z - 5555*z**4 + 5559*z**4 + 11*z**3 + 44*z**2 - 8*z**3 = 0. Calculate z.
-3, -2, -1, 0
Suppose 2*g + 62*c - 3 = 59*c, 0 = 3*c - 3. Find r such that g*r + 4/7*r**2 - 10/7*r**3 + 0 + 4/7*r**4 = 0.
0, 1/2, 2
Let y = -20357 - -20357. Let 2/3*b**3 + 0 - 1/3*b**5 + 0*b**4 + y*b**2 - 1/3*b = 0. Calculate b.
-1, 0, 1
Let w(z) be the third derivative of -2/15*z**7 + 0 + 0*z - 4*z**2 + 0*z**4 + 0*z**3 + 4/15*z**5 + 2/5*z**6. Find g such that w(g) = 0.
-2/7, 0, 2
Let o(v) be the second derivative of -v**5/35 - 3*v**4/7 + 2*v**3/21 + 18*v**2/7 - 23*v + 7. Factor o(i).
-4*(i - 1)*(i + 1)*(i + 9)/7
Suppose 1 + 7 = 4*t. Factor -3*l**4 + 2*l + 7*l**3 + l - 9*l**t + 2*l**3.
-3*l*(l - 1)**3
Let y be ((-697)/(-2788))/((-2)/12*-1). Factor -3/2*r**4 + 0 - 3/2*r + 3/2*r**2 + y*r**3.
-3*r*(r - 1)**2*(r + 1)/2
Let n be (5 - 205/65) + 4/26. Let -14*v - 2*v - n*v**3 - 4*v - 2*v**3 + 16*v**2 + 8 = 0. What is v?
1, 2
Let s(k) = 512*k**3 + 896*k**2 - 248*k + 16. Let w(t) = -256*t**3 - 448*t**2 + 124*t - 8. Let f(l) = -6*s(l) - 13*w(l). Factor f(c).
4*(c + 2)*(8*c - 1)**2
Let w(s) be the second derivative of -2*s**6/15 + s**5/5 + 2*s**4 - 10*s. Find i, given that w(i) = 0.
-2, 0, 3
Let f(x) = -6 + x + 1 + 0 + 4. Let d(o) = o**2 + 7*o - 8. Let b(s) = 3*d(s) - 24*f(s). Factor b(r).
3*r*(r - 1)
Let u(v) be the third derivative of v**7/5040 + v**6/480 + v**5/120 + 7*v**4/24 + v**2. Let z(d) be the second derivative of u(d). Factor z(o).
(o + 1)*(o + 2)/2
Let b(g) = -5*g**2 + 4. Let h(t) = -1. Suppose 1 + 1 = m, -5 = -c - 2*m. Let p(r) = c*b(r) - h(r). Solve p(o) = 0 for o.
-1, 1
Factor s**5 + s**5 - 47*s**3 + 0*s**4 + 14*s**4 + 63*s**3 - 32*s**2.
2*s**2*(s - 1)*(s + 4)**2
Let o(z) = 0 - 33*z**2 + 8*z + 0 + 28*z**2. Let y(i) = 15*i**2 - 23*i. Let r(f) = -8*o(f) - 3*y(f). Factor r(a).
-5*a*(a - 1)
Let y be ((-8664)/(-95))/(-24) + 4. Suppose 0 + 2/5*p + 1/5*p**2 - y*p**3 = 0. Calculate p.
-1, 0, 2
Let v(i) be the first derivative of i**7/2100 - i**6/450 - 16*i**3/3 + 19. Let g(y) be the third derivative of v(y). Solve g(o) = 0 for o.
0, 2
Suppose -5*b - 5 + 80 = 0. Suppose -5 = 5*i - b. Factor o**2 + 0*o**3 + i*o**3 - 3*o**3 + 0*o**3.
-o**2*(o - 1)
Factor -1/4*b**2 - 225/4 - 15/2*b.
-(b + 15)**2/4
Find x such that -100 + 6832*x**2 - 6833*x**2 - 91 - 28 - 220*x = 0.
-219, -1
Let x(g) be the first derivative of -g**4/4 + 8*g**3/3 - 15*g**2/2 + 48. Factor x(i).
-i*(i - 5)*(i - 3)
Let y(h) be the first deriv