-4*f**4 + 3*f**3 - 2*f**2 - 3. Let t = -8 + 13. Let a(q) = t*p(q) - 3*v(q). Determine w so that a(w) = 0.
-1, 0, 1
Let q(o) be the second derivative of 0*o**3 + 1/18*o**4 + o + 0*o**2 + 0. Factor q(a).
2*a**2/3
Let i be 30/140 - (-2)/7. Find w, given that 1/2 + i*w**2 - w = 0.
1
Let r(u) be the first derivative of u**6/720 - u**5/240 - 4*u**3/3 + 2. Let q(x) be the third derivative of r(x). Let q(y) = 0. What is y?
0, 1
Let h be (-1 - -2 - 3)*-1. Let g be 2/(7/((-28)/(-16))). Factor -o + 1/2 + g*o**h.
(o - 1)**2/2
Let h = 4369/194 + -2/97. Let u = h - 22. Let 7/4*b**2 + 0 - u*b - 3/4*b**3 = 0. What is b?
0, 1/3, 2
Suppose -5*j = -5*q + 2*q - 13, -2*j + 5 = -q. Let u(b) be the third derivative of 0 - 3*b**j + 0*b - 1/36*b**4 + 0*b**3 + 1/90*b**5. Solve u(d) = 0 for d.
0, 1
Let k(g) be the third derivative of g**7/420 - g**6/60 + g**5/30 + g**3/2 + 2*g**2. Let y(w) be the first derivative of k(w). Let y(u) = 0. What is u?
0, 1, 2
Let r(u) be the first derivative of -3*u**4/4 + 7*u**3 - 45*u**2/2 + 27*u + 4. Let r(z) = 0. What is z?
1, 3
Let t(f) be the third derivative of f**9/1512 - f**8/210 + f**7/84 - f**6/90 + f**3/3 - f**2. Let b(s) be the first derivative of t(s). Factor b(c).
2*c**2*(c - 2)*(c - 1)**2
Let d(x) be the second derivative of x**5/150 - x**3/45 + x. Find a, given that d(a) = 0.
-1, 0, 1
Let m(s) = s**2 - s. Let u(i) = i**2 + 10*i - 11. Let c(d) = -2*m(d) + u(d). Factor c(b).
-(b - 11)*(b - 1)
Let v(r) be the first derivative of -7/4*r**4 - 3/2*r**2 + 2*r - 1 - 4*r**3. Factor v(h).
-(h + 1)**2*(7*h - 2)
Suppose -8/13*x**3 - 10/13*x**2 + 0 - 4/13*x - 2/13*x**4 = 0. Calculate x.
-2, -1, 0
Let k(i) be the second derivative of -i**5/80 - i**4/16 - i**3/8 - i**2/8 + 4*i. Let k(p) = 0. What is p?
-1
Factor -10*u - 8*u + 3*u**3 + 6*u + 0*u**3.
3*u*(u - 2)*(u + 2)
Suppose -u + 2*x = -0*u + 38, u + 63 = -3*x. Let j = u + 145/3. Find n, given that 0 + 1/3*n**3 + 2/3*n**2 + j*n = 0.
-1, 0
Let g(x) be the second derivative of -x**6/15 + 3*x**5/10 - x**4/6 - x**3 + 2*x**2 - 9*x. Factor g(s).
-2*(s - 2)*(s - 1)**2*(s + 1)
Let m be 4/(-6) - 24/(-9). Let p = 7 - m. Find s, given that 56/11*s**p + 2/11*s**2 - 2/11*s**4 + 4/11*s + 0 - 60/11*s**3 = 0.
-1, -1/4, 0, 2/7, 1
Let l(h) be the second derivative of 9*h**5/40 + h**4/4 - 3*h**3/4 - 3*h**2/2 - 4*h. Solve l(u) = 0.
-1, -2/3, 1
Let v be (-5)/(-2)*(-16)/20. Let u be (v/(-5))/(7/5). Factor -8/7 - u*t**2 - 8/7*t.
-2*(t + 2)**2/7
Factor 6 - 5*m**2 + 6 + 2*m**4 + 12*m**3 + 31*m**2 + 24*m - 4.
2*(m + 1)**2*(m + 2)**2
Let n(z) be the third derivative of 3*z**2 - 1/60*z**5 + 1/24*z**4 + 0 + 0*z + 0*z**3. Factor n(d).
-d*(d - 1)
Let d(v) be the second derivative of 5*v**7/63 - 7*v**6/45 + v**5/15 - v. Find w such that d(w) = 0.
0, 2/5, 1
Let c(p) be the first derivative of -6 + 2/25*p**5 + 0*p**3 - 2/5*p**2 - 2/5*p + 1/5*p**4. Let c(b) = 0. What is b?
-1, 1
Suppose -8/9*f**3 - 10/9*f**2 + 0 - 4/9*f - 2/9*f**4 = 0. Calculate f.
-2, -1, 0
Let l(b) = -5*b - 1. Let h be l(-1). Let u = -4 + h. Find j such that u + 0*j + 0*j**2 - 1/2*j**3 + 1/2*j**4 = 0.
0, 1
Let h(y) be the first derivative of y**8/420 + y**7/70 + y**6/30 + y**5/30 + 3*y**3 - 4. Let u(j) be the third derivative of h(j). Factor u(a).
4*a*(a + 1)**3
Let c = -1486 - -156031/105. Let j(k) be the third derivative of 1/15*k**6 + c*k**7 + 0*k - k**2 + 1/6*k**5 + 0*k**3 + 1/6*k**4 + 0. Factor j(l).
2*l*(l + 1)**2*(l + 2)
Let q be (-630)/(-648) - (-2 - 22/(-8)). Factor 0 + 0*h + 2/9*h**2 + 0*h**3 - q*h**4.
-2*h**2*(h - 1)*(h + 1)/9
Suppose -4 = -4*f - 4*r + 20, -4*f = -r - 4. Let v(m) be the first derivative of -1/18*m**4 - 2/9*m**3 + f - 2/9*m - 1/3*m**2. Factor v(z).
-2*(z + 1)**3/9
Determine h so that -9*h**2 - 5*h + 2*h - 3*h**3 - 2*h - h = 0.
-2, -1, 0
Let u(g) be the third derivative of g**5/30 + g**4/6 - 11*g**2. Let u(q) = 0. What is q?
-2, 0
Let q = -171 + 1199/7. Factor -2/7*m**3 + 0 + q*m**2 + 0*m.
-2*m**2*(m - 1)/7
Let w(n) be the second derivative of n**7/6300 + n**6/1800 - n**4/2 + 2*n. Let j(c) be the third derivative of w(c). Factor j(o).
2*o*(o + 1)/5
Let z(j) = -6*j - 9. Let v be z(-2). Let p(h) be the third derivative of 0 + v*h**2 - 1/11*h**4 - 1/66*h**5 - 4/33*h**3 + 0*h. Factor p(o).
-2*(o + 2)*(5*o + 2)/11
Let f(n) be the first derivative of 4*n**3/3 - 12*n**2 + 36*n + 15. Factor f(z).
4*(z - 3)**2
Let u be (-4)/(-18) - (-2 - (-185)/90). Let q(s) be the first derivative of 8/3*s + 10/9*s**3 - u*s**4 - 8/3*s**2 + 1. Factor q(y).
-2*(y - 2)**2*(y - 1)/3
Let q(h) = 6*h**4 + 28*h**3 + 64*h**2 + 56*h - 8. Let k(x) = 2*x**4 + 9*x**3 + 21*x**2 + 19*x - 3. Let w(t) = -8*k(t) + 3*q(t). Determine a so that w(a) = 0.
-2, 0
Let o(m) be the first derivative of 12*m**5/5 + 8*m**4 + 16*m**3/3 - 19. Factor o(q).
4*q**2*(q + 2)*(3*q + 2)
Let x(s) be the second derivative of -s**7/189 - 8*s**6/135 - 5*s**5/18 - 19*s**4/27 - 28*s**3/27 - 8*s**2/9 - 6*s. Factor x(d).
-2*(d + 1)**2*(d + 2)**3/9
Let b(s) be the first derivative of -s**5/30 + s**4/12 + 2*s**3/3 + s**2/2 - 1. Let a(y) be the second derivative of b(y). Solve a(n) = 0 for n.
-1, 2
Let d(t) be the first derivative of t**6/1080 - t**5/360 - 5*t**3/3 - 1. Let b(y) be the third derivative of d(y). Factor b(c).
c*(c - 1)/3
Let a = 11 + -19. Let c(w) = w**3 + 9*w**2 + 8*w. Let q be c(a). Suppose q + 9*m + 4*m**2 - m**2 + 7 - 1 = 0. Calculate m.
-2, -1
Solve -1/2*p**3 + 1/2*p - 1/2 - p**4 + 3/2*p**2 = 0 for p.
-1, 1/2, 1
Let u(f) be the second derivative of 5*f**4/12 - 5*f**3/6 + 20*f. Solve u(p) = 0.
0, 1
Let j(n) be the first derivative of -n**8/560 + n**7/280 + n**6/120 - n**5/40 + 4*n**3/3 - 5. Let a(y) be the third derivative of j(y). Factor a(p).
-3*p*(p - 1)**2*(p + 1)
Let f = -2/13 + 58/39. Let c(m) be the first derivative of -2/9*m**3 - f*m - 2 - m**2. Factor c(k).
-2*(k + 1)*(k + 2)/3
Factor -12*a + 31*a**3 + 16*a**2 + 31*a**3 - 72 - 58*a**3.
4*(a - 2)*(a + 3)**2
Let m be 0*(3/(-6))/1. Let w(n) be the third derivative of m + 1/90*n**5 + 1/9*n**3 + 3*n**2 + 1/18*n**4 + 0*n. Solve w(b) = 0 for b.
-1
Factor -2/3*c**2 + 2/3 + 0*c.
-2*(c - 1)*(c + 1)/3
Let w(l) be the second derivative of 0*l**2 - l - 3/20*l**5 + 1/4*l**4 + 0 + 0*l**3. Determine q, given that w(q) = 0.
0, 1
Let 0 + 2/13*t**5 + 0*t + 0*t**2 - 2/13*t**3 + 0*t**4 = 0. Calculate t.
-1, 0, 1
Let x(f) = -f + 2. Let z be x(1). Let n(g) be the first derivative of z - g - 1/12*g**3 + 1/2*g**2. Suppose n(y) = 0. Calculate y.
2
Let y(j) = 2*j - 2. Let r be y(1). Suppose 0*i - i = r. Factor 0*f + 0 + 2/5*f**3 + i*f**2.
2*f**3/5
Let d = 0 + -6. Let v = 9 + d. Determine m so that -2 + 2*m**2 - v*m**3 + 5*m**5 - m**5 + 6*m**2 - m**3 - 6*m**4 = 0.
-1, -1/2, 1
Let t(v) be the first derivative of 3*v**5/10 + 3*v**4/4 - v**3/2 - 3*v**2/2 + 7. Solve t(d) = 0 for d.
-2, -1, 0, 1
Let l(d) be the second derivative of -d**5/100 + 3*d**4/40 + d**2/2 + 3*d. Let m(u) be the first derivative of l(u). Factor m(h).
-3*h*(h - 3)/5
Suppose 16*r = 14*r. Let n = -5 - -7. Factor 7/5*f**3 + 9/5*f**n + 2/5*f + r.
f*(f + 1)*(7*f + 2)/5
Let k(i) = i**4 + 10*i**3 - 4*i**2 + i - 7. Let u = -19 - -13. Let l(p) = -p**4 - 7 + 2*p**4 + 1 - 3*p**2 + 9*p**3 + p. Let b(w) = u*k(w) + 7*l(w). Factor b(y).
y*(y + 1)**3
Let v(m) = 5*m + 62. Let a be v(-12). Suppose j**a + 3*j + 9/4 = 0. Calculate j.
-3/2
Factor 0*f - f**2 + 0 + 1/2*f**4 - 1/2*f**3.
f**2*(f - 2)*(f + 1)/2
Let w = 43/93 + -4/31. Let 0*a - 1/3*a**4 + 0*a**2 - w*a**3 + 0 = 0. Calculate a.
-1, 0
Let u be (-3 + 0)*(-6)/9. Let n be (-5 - -3)*u/(-2). Determine m so that -50/9*m**5 - 32/9*m - 10/9*m**4 + 8/9 + 82/9*m**3 + 2/9*m**n = 0.
-1, 2/5, 1
Let c = 56/9 - 374/63. Factor -c*b - 2/7*b**2 + 0.
-2*b*(b + 1)/7
Let t(o) = o**4 + 3*o**3 + 2*o**2 + 7*o. Let w(g) = g**4 + 6*g + 0*g**3 + 5*g**3 + 2*g**2 - 2*g**3. Let v(y) = -6*t(y) + 7*w(y). Let v(k) = 0. What is k?
-2, -1, 0
Suppose 3*u = 47 + 13. Suppose 0 = -3*a - b + 8, -a + u = -2*b - 2*b. Find z, given that z**3 - z**2 - 3*z**4 + 2*z**4 + 3*z**5 + 6*z**a = 0.
-1, 0, 1/3
Let r be 1 - (0/4 + -2). Let u(q) be the second derivative of 1/120*q**6 + 0*q**3 + 0 - 1/40*q**5 + 0*q**4 + r*q + 1/56*q**7 + 0*q**2. Factor u(j).
j**3*(j + 1)*(3*j - 2)/4
Suppose j - 2*j = -5*t - 25, -2*j + 18 = -2*t. Suppose c + 8 = j*c. Factor -3*v**2 + 1 + c*v - 3*v + 3*v.
-(v - 1)*(3*