20*k**5 - 1/15*k**6 + 0*k**2 + 1/12*k**3 - 1/6*k**c. Factor u(z).
z*(z - 1)**4/2
Let x(p) be the second derivative of p**6/900 - p**5/100 + p**4/30 - 4*p**3/3 + 4*p. Let t(r) be the second derivative of x(r). Solve t(a) = 0.
1, 2
Let q be ((-134)/12)/((-2)/184). Let c = 1038 - q. Factor 6*m + 2/3 + 16*m**2 + c*m**3.
2*(m + 1)*(4*m + 1)**2/3
Suppose 2*s + 2 = 3*s. Let a(x) be the third derivative of -x**s - 1/20*x**5 + 0*x - 11/96*x**4 - 1/12*x**3 + 0. Determine d so that a(d) = 0.
-2/3, -1/4
Solve -29*a - 8*a**2 + 0*a**3 - a**3 + 22*a = 0 for a.
-7, -1, 0
Let w(a) = a**3 + 4*a**2 - 5*a + 3. Let o be (-56)/10 + 18/30. Let q be w(o). Factor d**5 - 4*d**3 + 4*d**2 + 0*d**3 + 3*d**4 - q*d**2 + 7*d**3.
d**2*(d + 1)**3
Let c(m) be the first derivative of 1/6*m**2 + 0*m - 2/9*m**3 + 1/12*m**4 + 1. Factor c(s).
s*(s - 1)**2/3
Suppose 9*s = 22 + 32. Let f(l) be the third derivative of 0*l**3 + 0 + 3/200*l**s + 0*l - l**2 - 1/350*l**7 - 3/100*l**5 + 1/40*l**4. What is z in f(z) = 0?
0, 1
Let x(o) be the third derivative of -o**8/84 + o**6/30 + 6*o**2. Solve x(t) = 0 for t.
-1, 0, 1
Let t = -3/103 - -112/309. Suppose -3*p**2 - t*p - 11/3*p**3 - 4/3*p**4 + 1/3 = 0. What is p?
-1, 1/4
Factor -10*h**4 - 36*h**5 - 14*h**2 + 21*h**5 + 13*h**5 - 3*h**3 - 15*h**3 - 4*h.
-2*h*(h + 1)**3*(h + 2)
Factor 8/3 + 2/3*h**2 + 10/3*h.
2*(h + 1)*(h + 4)/3
Let h(q) be the third derivative of q**8/168 - q**7/105 - q**6/30 + q**5/15 + q**4/12 - q**3/3 - 5*q**2. Determine d so that h(d) = 0.
-1, 1
What is k in -20/13 + 2/13*k**2 + 6/13*k = 0?
-5, 2
Solve 1/2*i**3 - 5/2*i**2 + 3/2*i + 9/2 = 0 for i.
-1, 3
Suppose 28 = 4*n - 3*u, -4*n - 5 = 5*u - 1. Suppose n*l = -4, 3*g - 3*l - 15 = -6. Suppose -2/3*i - 1/3 - 1/3*i**g = 0. Calculate i.
-1
Suppose s = -q + 3, s + 5*q = -0*q + 23. Let a be (s/7)/((-4)/14). Factor -a - 1/2*p**4 + 1/2*p + 3/2*p**2 - 1/2*p**3.
-(p - 1)**2*(p + 1)*(p + 2)/2
Let b(i) be the second derivative of -3*i + 0*i**4 - 1/60*i**6 + 0 + 0*i**3 - 1/84*i**7 + 0*i**2 + 0*i**5. Let b(y) = 0. Calculate y.
-1, 0
Let g(x) be the second derivative of x**8/6720 + x**7/2520 + x**4/4 + 4*x. Let q(v) be the third derivative of g(v). Let q(y) = 0. Calculate y.
-1, 0
Let t(s) = s**2 - s - 4. Let h = 14 + -11. Let g be t(h). Suppose -3/2*i + 1/4 - i**3 + 9/4*i**g = 0. Calculate i.
1/4, 1
Let t(q) = -q**2 + 4*q + 5. Let b be t(4). Factor 0*f**3 + 5 + f**3 + 0*f**3 + b*f + 4*f**2 - 3.
(f + 1)**2*(f + 2)
Let l(x) be the second derivative of -x**5/25 + x**4/5 + 2*x**3/15 - 6*x**2/5 - 26*x. Factor l(j).
-4*(j - 3)*(j - 1)*(j + 1)/5
Let b(n) be the second derivative of -1/6*n**3 - 1/20*n**5 + 0 + 0*n**2 - 1/18*n**4 - 7/540*n**6 - 3*n. Let o(m) be the second derivative of b(m). Factor o(w).
-2*(w + 1)*(7*w + 2)/3
Let q(l) = -8*l**2 - 112*l - 402. Let g(s) = 20*s**2 + 280*s + 1004. Let u(b) = 5*g(b) + 12*q(b). Let u(d) = 0. Calculate d.
-7
Let p be (-4)/18*6/(-20). Let t(l) be the first derivative of -p*l**5 + 1/12*l**4 + 2 + 0*l + 0*l**2 + 0*l**3. Factor t(i).
-i**3*(i - 1)/3
Let c be (1/(-3))/(35/(-42)). Suppose c*f - 2/5*f**3 - 4/5*f**2 + 4/5 = 0. What is f?
-2, -1, 1
Let u(r) be the second derivative of -r**6/70 + r**5/20 - 5*r**4/84 + r**3/42 + 11*r. Factor u(n).
-n*(n - 1)**2*(3*n - 1)/7
Factor -3/4*f**4 + 0*f - 1/2*f**2 + 0 + 5/4*f**3.
-f**2*(f - 1)*(3*f - 2)/4
Let m(u) = -u**2 + 10*u + 3. Let h(v) = -v**2 + 9*v + 4. Let p(c) = 7*h(c) - 6*m(c). Factor p(k).
-(k - 5)*(k + 2)
Let s(m) be the second derivative of m**8/50400 + m**7/9450 + m**6/5400 + m**4/3 + 4*m. Let i(t) be the third derivative of s(t). Let i(p) = 0. Calculate p.
-1, 0
Let u(j) be the first derivative of j**4/14 - 3*j**2/7 - 4*j/7 + 10. Factor u(h).
2*(h - 2)*(h + 1)**2/7
Let c = -1 - -3. Suppose 4*t - 1 = 23. What is b in -t*b + 0 + c*b**2 + 3 + 1 = 0?
1, 2
Let l(h) = -h**2 - h. Let w(t) = 7*t**2 + 15*t - 4. Let k(q) = -18*l(q) - 2*w(q). Find g such that k(g) = 0.
1, 2
Let q(x) be the second derivative of -x**7/840 + x**6/240 - x**5/240 - x**2/2 - 2*x. Let i(m) be the first derivative of q(m). Determine f so that i(f) = 0.
0, 1
Let g = 2/523 - -1549/5230. Let k(y) be the first derivative of -1/10*y**6 - 4/5*y**3 - 3 + 6/25*y**5 - g*y**2 + 6/5*y + 3/10*y**4. Let k(c) = 0. Calculate c.
-1, 1, 2
Factor -g**2 + g**4 - 1/2*g + 0 + 1/2*g**3.
g*(g - 1)*(g + 1)*(2*g + 1)/2
Let v(q) be the third derivative of -q**8/504 - 4*q**7/315 - q**6/36 - q**5/45 - 23*q**2. Determine g, given that v(g) = 0.
-2, -1, 0
Let u(x) be the second derivative of -x**5/4 + 5*x**3/2 - 5*x**2 - 14*x. Let u(q) = 0. What is q?
-2, 1
Let c(t) be the third derivative of 0*t + 0 - t**2 - 1/40*t**4 - 1/15*t**3 - 1/300*t**5. Determine z, given that c(z) = 0.
-2, -1
Let y = 292 - 290. What is b in 0 + 1/4*b - 1/4*b**3 - 1/4*b**4 + 1/4*b**y = 0?
-1, 0, 1
Suppose -1 + 5 = 2*d. Factor 4*j**5 + 15*j**3 + 0*j**2 + 2*j**d + 2*j**2 - 19*j**3 - 4*j**4.
4*j**2*(j - 1)**2*(j + 1)
Suppose -5*f - 2*o = -19, -f + 5 = 2*f - 2*o. Suppose 2*t = f*y + 3, -3*y = 4*t + y + 4. Factor t*p + 0 + 0*p**2 - 1/2*p**3.
-p**3/2
Factor -2*z + 8/3 - 2/3*z**2.
-2*(z - 1)*(z + 4)/3
Factor -3/4*b**2 - 3/2*b**3 + 3/2*b + 3/4*b**4 + 0.
3*b*(b - 2)*(b - 1)*(b + 1)/4
Let d(b) be the first derivative of 3 - 3/4*b**2 - b - 1/6*b**3. Factor d(x).
-(x + 1)*(x + 2)/2
Let r(c) = 20*c**3 + 32*c**2 + 11*c - 8. Let d = -24 - -17. Let m(v) = 10*v**3 + 16*v**2 + 6*v - 4. Let h(i) = d*m(i) + 4*r(i). Factor h(s).
2*(s + 1)**2*(5*s - 2)
Let y(m) be the third derivative of -m**6/280 - m**5/140 - 6*m**2. Factor y(z).
-3*z**2*(z + 1)/7
Let q be (-202)/(-3) + -3 + 0. Let t = q - 63. Solve 2*i**3 + t*i + 0 - 10/3*i**2 = 0 for i.
0, 2/3, 1
Let y(g) be the third derivative of -g**6/40 - 9*g**5/20 - 15*g**4/8 + 25*g**3/2 - 9*g**2. Find i, given that y(i) = 0.
-5, 1
Suppose 3*k - 15 = 3*n, 5*k - 2*n = -7 + 23. Factor -k*h**5 - h**5 - h - 6*h**4 + h - 3*h**3.
-3*h**3*(h + 1)**2
Let o be (18/(-21))/(4/(-28)). Factor -12*u**5 + 8*u + u + o*u**2 + 3 - 6*u**3 + 9*u**5 - 9*u**4.
-3*(u - 1)*(u + 1)**4
Factor -4/9 + 2/9*c + 2/9*c**2.
2*(c - 1)*(c + 2)/9
Let u(m) be the third derivative of -m**6/120 + m**5/20 - 2*m**3/3 + 11*m**2. Let u(x) = 0. Calculate x.
-1, 2
Factor 65*f + 3*f**5 - 65*f + 6*f**2 - 9*f**3.
3*f**2*(f - 1)**2*(f + 2)
Suppose -v + 4 = -3*v. Let q be ((-1)/v)/((-5)/(-40)). Factor 1/2*d**3 - 1/2*d + 1/2*d**q - 1/2*d**2 + 0.
d*(d - 1)*(d + 1)**2/2
Let k(b) be the second derivative of b**7/273 + b**6/65 + b**5/130 - b**4/26 - 2*b**3/39 - 12*b. What is l in k(l) = 0?
-2, -1, 0, 1
Let t(p) be the second derivative of -p**4/28 - 12*p. Determine z, given that t(z) = 0.
0
Let l = -10 - -12. Suppose 5*d = n + 41, -2 = l*n - 0. Factor -4*r**2 + 0 - 1/2*r - d*r**3.
-r*(4*r + 1)**2/2
Suppose 4*c + c = 0. Let f be 182/(-49) + (c - -4). Find p such that -2/7*p**4 + f*p + 6/7*p**2 - 4/7 - 2/7*p**3 = 0.
-2, -1, 1
Solve -1/6*n**2 + 0 + 0*n**3 + 1/6*n**4 + 0*n = 0.
-1, 0, 1
Let z(r) be the first derivative of r**3/7 - 12*r/7 - 6. Factor z(b).
3*(b - 2)*(b + 2)/7
Suppose 7 = 2*u + 3. Suppose 2*q - 6 = 4, -14 = -u*m - 2*q. Factor n**2 + 2 - 3*n**3 - 3*n**m + n**3 + 2*n.
-2*(n - 1)*(n + 1)**2
Let z(j) be the third derivative of -j**8/84 - 4*j**7/105 - j**6/30 - 19*j**2. Factor z(q).
-4*q**3*(q + 1)**2
Let q(x) be the second derivative of -7*x**4/30 + 3*x**3/5 - 2*x**2/5 + 38*x. Factor q(w).
-2*(w - 1)*(7*w - 2)/5
Let u = 15369/260 - -74/65. Let k = u + -60. What is p in 0 + 1/4*p**5 + k*p**4 - 1/4*p**3 + 0*p - 1/4*p**2 = 0?
-1, 0, 1
Suppose 2/15*p**3 + 0*p + 0 - 4/15*p**2 = 0. What is p?
0, 2
Factor -3*f**2 - 3*f**3 + 30 + 3*f + 0*f**3 - 27.
-3*(f - 1)*(f + 1)**2
Let c = -119 - -597/5. Factor 0*y + 0 + c*y**2.
2*y**2/5
Let n(w) = -w**3 + 4*w**2 - 3*w**2 + w**2 - 1 - 3*w**2. Let h(y) = -3*y**3 - 5*y**2 - 3*y - 3. Let s(c) = -h(c) + 2*n(c). Factor s(d).
(d + 1)**3
Let j(a) = -a + 3. Let d be j(-7). Suppose 2*b - d = 0, b - 10 = 5*h - b. Find c, given that -1/2*c**2 + h*c + 0 = 0.
0
Let j(h) be the first derivative of -h**3 - 5*h**2 - 3*h + 4. Factor j(z).
-(z + 3)*(3*z + 1)
Determine y so that -4*y**2 + 5*y**2 - 2*y - 3*y**2 + 10*y = 0.
0, 4
Let y = 95/6 + -31/2. Find w such that -2*w**3 - 1/3*w + 4/3*w**2 + 0 + 4/3*w**4 - y*w**5 = 0.
0, 1
Let f(c) be the first derivative of -5*c**3/3 - 10*c**2 - 20*c - 12. Determine x, 