5*c(t) - 5*i(t). Factor z(k).
5*(k - 3)**2*(k + 1)**3
Suppose -4*b - 1 = -13. Let i(x) be the first derivative of 3/2*x**2 - x**b + 3 - x + 1/4*x**4. Suppose i(a) = 0. What is a?
1
Suppose 2*m + 0 - 4 = 0. Determine o, given that 0*o**2 - 2*o**2 - 5*o**2 - 4*o + 5*o**m = 0.
-2, 0
Let d be ((-132)/(-18))/(2/(-6)). Let n = d + 22. Factor -1/2*y**2 + 0*y + n*y**3 + 0 + 1/2*y**4.
y**2*(y - 1)*(y + 1)/2
Let i(z) be the second derivative of 24*z**6/5 + 3*z**5 - 86*z**4/3 + 104*z**3/3 - 16*z**2 - 18*z. Solve i(x) = 0 for x.
-2, 1/4, 2/3
Let l(k) be the first derivative of 4*k**5/15 + 7*k**4/3 + 20*k**3/3 + 6*k**2 - 6. Factor l(s).
4*s*(s + 1)*(s + 3)**2/3
Let f(m) = -1. Let w(h) be the second derivative of -h**5/20 + h**3/6 - 3*h**2 - 5*h. Let l(a) = -6*f(a) + w(a). Factor l(t).
-t*(t - 1)*(t + 1)
Let z = 12 + -8. Suppose 1 = z*t - 7. Factor -v**2 - 2*v**3 + v**3 + 4*v**t.
-v**2*(v - 3)
Let n(r) be the third derivative of -r**5/150 + r**4/15 - r**3/5 - 48*r**2. Determine s so that n(s) = 0.
1, 3
Let v(s) be the third derivative of s**8/3360 - s**7/420 + s**6/144 - s**5/120 - s**3/2 + 9*s**2. Let h(t) be the first derivative of v(t). Factor h(l).
l*(l - 2)*(l - 1)**2/2
Let -33*n**2 - 4 - 77/2*n**3 + 26*n + 49/2*n**4 = 0. Calculate n.
-1, 2/7, 2
Let f = 4 + -1. Let -2*s + s**3 + 2*s**2 + 2*s - s - 2*s**f = 0. What is s?
0, 1
Let c = -3353/11 - -305. Factor -4/11 - 8/11*w**2 - 10/11*w - c*w**3.
-2*(w + 1)**2*(w + 2)/11
Let o be 97/51*(-9 + 11). Let v = -8/17 + o. What is p in -2/3*p**2 + 0*p - v*p**3 + 0 - 8/3*p**4 = 0?
-1, -1/4, 0
Find u such that 0*u - 6/7*u**2 + 0 - 9/7*u**3 + 0*u**4 + 3/7*u**5 = 0.
-1, 0, 2
Let t(r) be the third derivative of -3/70*r**7 + 0 - 2*r**2 + 0*r**4 + 1/40*r**6 + 0*r + 0*r**3 + 1/10*r**5. Suppose t(l) = 0. What is l?
-2/3, 0, 1
Let g(d) be the third derivative of -d**7/105 - d**6/20 - d**5/10 - d**4/12 + d**2. Factor g(f).
-2*f*(f + 1)**3
Suppose 6 = -d - d. Let y be 5 - (2 + d)*2. Solve -o**2 + 27*o**3 + y*o**5 + 2*o + 0*o**2 - 12*o**2 - 23*o**4 = 0.
0, 2/7, 1
Let n(q) be the first derivative of q**3/21 + 16*q**2/7 + 256*q/7 + 56. Factor n(s).
(s + 16)**2/7
Let g(f) be the first derivative of 2*f**3/3 - 2. Suppose g(m) = 0. Calculate m.
0
Let n(x) be the third derivative of x**10/453600 - x**8/30240 + x**6/2160 + x**5/10 - 6*x**2. Let p(i) be the third derivative of n(i). Let p(z) = 0. What is z?
-1, 1
Let o be (1 - 1) + -5*2/(-210). Let t(v) be the second derivative of 0 - 1/15*v**6 + 0*v**2 + o*v**7 - v + 1/6*v**4 - 1/10*v**5 + 0*v**3. Solve t(d) = 0 for d.
-1, 0, 1
Let h be 3 + 0/(4 - 5). Let f(c) be the first derivative of h - 1/6*c**4 + 0*c + 4/9*c**3 - 1/3*c**2. Find s such that f(s) = 0.
0, 1
Let m = 1 - 0. Let h = 3 - m. Find v, given that 2*v - 4*v**h + v**2 + 4*v**2 = 0.
-2, 0
What is b in -4/5*b**2 - 6/5 + 2*b**4 - 14/5*b + 12/5*b**3 + 2/5*b**5 = 0?
-3, -1, 1
Let d(s) be the first derivative of 1/15*s**3 - 4 + 1/30*s**4 + 0*s**2 + 4*s. Let o(b) be the first derivative of d(b). Factor o(i).
2*i*(i + 1)/5
Suppose -7*h + 3*h = -24. Let w = h - 2. Let 10*z**2 - w*z + 4 - 4 = 0. Calculate z.
0, 2/5
Let k = 1259/2115 + 2/423. Factor -2/5 - k*h - 1/5*h**2.
-(h + 1)*(h + 2)/5
Let x = 15 + -11. Let w = x - 1. Let -6*k**2 + 0*k**3 + 0*k**3 + 12*k - 8 + k**w = 0. Calculate k.
2
Let s be 7/3 + 2/3. Factor -w**s + 8*w**4 + 10*w - 2 - 6*w**2 + 0*w - 9*w**3.
2*(w - 1)**2*(w + 1)*(4*w - 1)
Let q(a) = -a**3 + 5*a**2 + 7*a - 4. Suppose 24 = 3*w + w. Let v be q(w). What is f in 3*f**v - 5*f**2 + 6 - 2 + 2*f = 0?
-1, 2
Let o be (0 - (-21)/6)*12/28. Solve 0 - 3/4*t**4 - 3/2*t + o*t**3 + 3/4*t**2 = 0 for t.
-1, 0, 1, 2
Let o(x) = -22*x**3 + 0 - 2 - 4*x - x**3 - 27*x**2. Let t(p) = -93*p**3 - 108*p**2 - 15*p - 9. Let w(d) = 9*o(d) - 2*t(d). Factor w(g).
-3*g*(g + 1)*(7*g + 2)
Let s be (532/931)/((-1)/(-4)). Let -92/7*a**3 - 16*a**2 + 16/7 - 3*a**4 - s*a = 0. Calculate a.
-2, -2/3, 2/7
Let f(b) = 6*b**2 - 6. Let o(i) = -5*i + 5*i - i + i**2. Let w(n) = -f(n) + 15*o(n). Let w(y) = 0. Calculate y.
2/3, 1
Let q(j) = j**2 + 3*j - 2. Let l be q(-3). Let x = 1 - l. Factor 2*o**3 - 2*o**3 + 3*o**3 - x*o**4.
-3*o**3*(o - 1)
Let y(i) be the third derivative of -i**5/240 - i**4/48 - 36*i**2. Let y(g) = 0. What is g?
-2, 0
Let i(t) be the second derivative of 2*t**7/315 - 2*t**5/45 + 2*t**3/9 - 3*t**2 + 5*t. Let l(w) be the first derivative of i(w). Factor l(u).
4*(u - 1)**2*(u + 1)**2/3
Let z be 12/10*(-20)/(-6). Suppose 9 = z*l + 1. Determine g so that -1/2 + 1/2*g**l + 0*g = 0.
-1, 1
Let l(n) = n**2 - n. Let u be l(-1). Let 0 + 0*f + 2/3*f**u = 0. Calculate f.
0
Let v(g) be the third derivative of -g**6/720 + g**5/120 - g**4/72 - g**2. Factor v(k).
-k*(k - 2)*(k - 1)/6
Let s(t) be the first derivative of -5*t**4/4 - 10*t**3/3 + 2. Factor s(d).
-5*d**2*(d + 2)
Let z = -159 - -167. Let q(t) be the third derivative of 0 - 1/24*t**6 + 1/48*t**z + 0*t - 1/12*t**4 - 3/70*t**7 + 0*t**3 + 2*t**2 + 3/20*t**5. Factor q(f).
f*(f - 1)**2*(f + 1)*(7*f - 2)
Let v be ((-29)/(-145))/(2/((-12)/(-2))). Determine c, given that v*c**2 + 1/5*c + 3/5*c**3 + 0 + 1/5*c**4 = 0.
-1, 0
Let c(f) be the first derivative of 1 + 3/14*f**4 - 3/7*f**2 - 3/35*f**5 + 0*f**3 + 3/7*f. Let c(u) = 0. Calculate u.
-1, 1
Let c = 8 + 4. Let h be c/18*3/4. Solve 1/4*v**2 + 1/4 + h*v = 0 for v.
-1
Let c(t) be the third derivative of t**5/15 - t**4/3 + 2*t**3/3 - 4*t**2. Solve c(j) = 0 for j.
1
Let a(k) be the first derivative of 1/28*k**4 + 1/21*k**3 + 0*k**2 + 0*k + 1. Let a(l) = 0. Calculate l.
-1, 0
Find d, given that 8/11 + 2/11*d**2 - 8/11*d = 0.
2
Let p(v) be the second derivative of v**5/100 + v**4/15 - v**3/6 - 12*v. Factor p(t).
t*(t - 1)*(t + 5)/5
Let b(i) = i**3 - 5*i**2 - 5*i - 1. Let j be b(6). Factor 4*u**2 - j*u - 4 + 0*u**2 - 3*u**2 - 2*u**2.
-(u + 1)*(u + 4)
Find w, given that 0*w**3 + 1/2*w**2 - 1/6*w**4 - 1/3*w + 0 = 0.
-2, 0, 1
Let u(b) be the third derivative of -b**8/672 + b**7/420 + b**6/120 - b**5/60 - b**4/48 + b**3/12 + 5*b**2. Factor u(n).
-(n - 1)**3*(n + 1)**2/2
Factor -8/13*w + 10/13*w**2 + 0 - 2/13*w**3.
-2*w*(w - 4)*(w - 1)/13
Let d(n) = 10*n**2 - 22*n + 19. Let k(m) = 3*m**2 - 7*m + 6. Let w(s) = 2*d(s) - 7*k(s). Factor w(p).
-(p - 4)*(p - 1)
Factor 5*h - 3*h + h + 4*h**2 - h**2.
3*h*(h + 1)
Suppose -6 = 2*y, 0*y = -v + 3*y + 17. Suppose -3*r**5 - r**3 - v*r**4 + 2*r**4 + 6*r**2 + 4*r**3 = 0. Calculate r.
-2, -1, 0, 1
Suppose -3*z = -1 - 5. Factor 1 - 3*x + x**2 + 2*x**3 + x**z - 3*x**5 + x**4 - 4*x**4 + 4*x**5.
(x - 1)**4*(x + 1)
Let p(u) = 0*u**2 + 4 + 4*u**2 - 3 - 3*u**2. Let k(c) = 2*c**2 - 2*c + 2. Let s(v) = k(v) - p(v). Factor s(m).
(m - 1)**2
Let m = -14 + 19. Factor 2/3*o**m + 0*o + 0 + 0*o**2 + 2/3*o**3 + 4/3*o**4.
2*o**3*(o + 1)**2/3
Let x(m) be the second derivative of 1/4*m**2 - 1/4*m**3 - 1/40*m**5 + 0 + 3*m + 1/8*m**4. Let x(v) = 0. Calculate v.
1
Let g(k) be the first derivative of -13/4*k**4 + 2/3*k**3 + 0*k - 3/2*k**6 + 24/5*k**5 + 0*k**2 - 1. Factor g(h).
-h**2*(h - 2)*(3*h - 1)**2
Let k(h) be the first derivative of h**8/3360 + h**7/1680 - 2*h**3/3 - 5. Let q(z) be the third derivative of k(z). Find s, given that q(s) = 0.
-1, 0
Let h(t) be the first derivative of -5/8*t**2 + 1/12*t**3 - 4 + 1/16*t**4 + 3/4*t. Let h(k) = 0. What is k?
-3, 1
Let b(f) be the first derivative of -2*f**5/5 + f**4 + 2*f**3 + 7. Factor b(w).
-2*w**2*(w - 3)*(w + 1)
Let j = -40 + 43. Factor 3/2*a**3 + 0 + 3/2*a + j*a**2.
3*a*(a + 1)**2/2
Factor 2*h**4 + 3*h**3 + h**2 + 43*h - 46*h - 2 - h**4.
(h - 1)*(h + 1)**2*(h + 2)
Let r(b) be the second derivative of b**4/3 + b**3/3 - b**2 - 11*b. Factor r(z).
2*(z + 1)*(2*z - 1)
Factor 0 - 3/11*w - 1/11*w**2.
-w*(w + 3)/11
Let l(u) be the third derivative of u**7/42 + 11*u**6/24 + 8*u**5/3 + 35*u**4/6 - 11*u**2. Factor l(r).
5*r*(r + 2)**2*(r + 7)
Let m(v) = v**3 - v**2. Let s be m(2). Let p be (-155)/31 - (-10)/2. Solve 0*b**2 + b**s + 0*b + 1/2*b**3 + p = 0.
-1/2, 0
Determine p, given that -2/3 + 1/6*p**4 + 1/2*p**2 + 2/3*p - 2/3*p**3 = 0.
-1, 1, 2
Let j(s) be the first derivative of s**4/4 - 7*s**3/3 + 7*s**2/2 - 4*s + 2. Let b be j(6). Factor 3 + 14*w + 40*w**3 + 16*w**4 + 11*w**2 - 1 + 25*w**b.
2*(w + 1)*(2*w + 1)**3
Let p(b) be the first derivative of b**4/4 - b**3/3 - b**2/2 - 3. Let f(y) = 3*y**4 - y**3 - 