+ s**4/12 - s**3/36 - 7*s. Factor p(j).
j*(j - 1)**2*(4*j - 1)/6
What is a in 0*a**2 + 2/5*a**4 + 8/5*a**3 - 32/5*a - 32/5 = 0?
-2, 2
Suppose 0 = -3*g + 7 + 2. Factor 0*y**3 + 33 - 33 + 2*y + 26*y**g - 15*y**4 - 13*y**2.
-y*(y - 1)*(3*y - 1)*(5*y - 2)
Let a(o) = 48*o**3 + 111*o**2 + 111*o + 81. Let x(s) = 6*s**3 + 7*s**2 + 7*s - 2*s**3 + 5 - s**3. Let w(k) = -2*a(k) + 33*x(k). Solve w(l) = 0.
-1
Find p such that -5*p**2 - p**3 + 3*p**4 - 5*p**3 + 6*p + 2*p**2 = 0.
-1, 0, 1, 2
Let t(s) be the second derivative of 1/15*s**4 + 0 - 4/15*s**3 - 6/5*s**2 + 6*s. Let t(f) = 0. What is f?
-1, 3
Let f(j) = j**2 + 7*j. Let u(h) = h. Let a(o) = -f(o) + 6*u(o). Factor a(p).
-p*(p + 1)
Let m = 1626/2821 + -2/403. Suppose -166*p + 169*p = 9. Find i such that 8/7*i - m*i**p - 6/7*i**2 + 8/7 + 2/7*i**4 = 0.
-1, 2
Let x(u) be the second derivative of -6*u + 3/8*u**2 - 1/16*u**4 + 0 + 1/8*u**3 - 3/80*u**5. Factor x(q).
-3*(q - 1)*(q + 1)**2/4
Let j = -3272 - -39289/12. Let h(l) be the first derivative of 0*l**2 - 3*l**4 - j*l**6 - 2/3*l**3 + 2 + 0*l - 9/2*l**5. Factor h(r).
-r**2*(r + 1)*(5*r + 2)**2/2
Let l be 8*8/60*(0 + 5). Factor -2/3*n + l*n**2 - 4/3 - 10/3*n**3.
-2*(n - 1)**2*(5*n + 2)/3
Find k such that -3/2*k + 3/2*k**3 + 0*k**2 + 0 = 0.
-1, 0, 1
Let f(l) be the third derivative of l**7/1680 - l**5/480 - 6*l**2. Determine v, given that f(v) = 0.
-1, 0, 1
Let t(q) be the first derivative of -5*q**4/14 - 2*q**3/3 - 2*q**2/7 + 2. Solve t(p) = 0.
-1, -2/5, 0
Let n(q) = 3*q**5 + 10*q**4 - 3*q**3 - 11*q**2 + 4. Let f(g) = 5*g**5 + 21*g**4 - 5*g**3 - 23*g**2 + 9. Let p(j) = -3*f(j) + 7*n(j). Let p(y) = 0. Calculate y.
-1, -1/2, 1/3, 1
Let x be 5*1*(12/(-6) - -3). Let k(i) be the second derivative of -i - 1/6*i**3 + 1/40*i**x + 0*i**2 + 1/24*i**4 + 0. Determine u, given that k(u) = 0.
-2, 0, 1
Let g(f) = 2 + 3*f - 2*f**2 - 5*f**2 - f. Let w(b) = -15*b**2 + 5*b + 5. Let m(c) = -13*g(c) + 6*w(c). Factor m(k).
(k + 2)**2
Let u(p) = -21*p**2 - 11*p + 21. Let y be 25/(-10) - 1/(-2). Let q(x) = -5 + 2*x + 3 + 4*x**2 - 2. Let d(z) = y*u(z) - 11*q(z). Suppose d(v) = 0. Calculate v.
-1, 1
Suppose 5*r - y = 20, 4 = -2*r - y + 12. Let b = -846/5 + 170. Solve 2/5*j**r + 0*j**3 - b*j**2 + 2/5 + 0*j = 0.
-1, 1
Suppose -10 = -d + 4*p, 1 = -5*d - 4*p + 3. Let r(c) be the third derivative of 1/420*c**7 + 0*c**5 + 0*c**3 + 0*c**6 + 0*c + 0 + 0*c**4 + d*c**2. Factor r(j).
j**4/2
Let h(a) be the first derivative of -a**3/9 + a**2/6 - 7. Determine q so that h(q) = 0.
0, 1
Suppose 15*q**4 - 2*q**5 - 3*q**5 + 4*q**3 + 0*q**3 - 15*q**2 + q**3 = 0. What is q?
-1, 0, 1, 3
Let n(h) be the second derivative of 1/60*h**6 - h + 0 - 1/24*h**4 + 0*h**2 + 1/12*h**3 - 1/40*h**5. Factor n(q).
q*(q - 1)**2*(q + 1)/2
Let g(y) be the first derivative of y**6/3 + 2*y**5/5 - y**4/2 - 2*y**3/3 - 7. Factor g(x).
2*x**2*(x - 1)*(x + 1)**2
Let q(v) be the third derivative of v**6/1980 - v**5/660 + v**3/3 + 3*v**2. Let a(o) be the first derivative of q(o). Factor a(s).
2*s*(s - 1)/11
Let o = -776/3 - -280. Let q = 22 - o. Let 1/3*k**3 + 0*k - q*k**2 + 0 + k**4 = 0. What is k?
-1, 0, 2/3
Let w = -177 - -179. Factor -4/13*p**w + 0 + 2/13*p**3 + 2/13*p.
2*p*(p - 1)**2/13
Let m(j) = -20*j**2 + 16*j - 18. Let z(h) = 7*h**2 - 5*h + 6. Let u(q) = -q**2 + 11. Let v be u(0). Let t(p) = v*z(p) + 4*m(p). Factor t(a).
-3*(a - 2)*(a - 1)
Factor 2*r - 12*r**2 + 4*r**3 - 8*r + r + 13*r.
4*r*(r - 2)*(r - 1)
Let j(m) be the first derivative of m**6/6 + m**5/5 - m**4/2 - 2*m**3/3 + m**2/2 + m - 46. Factor j(t).
(t - 1)**2*(t + 1)**3
Let g(d) be the first derivative of d**4/4 - d**2/2 - 5. Let i(n) = -8*n**3 + 8*n**2 - 2*n. Let k(p) = -6*g(p) - i(p). Factor k(q).
2*q*(q - 2)**2
Let a be -110*(-3 - 52/(-20)). Let p be 0 - ((-32)/a)/4. Factor 0*t + 0 + 2/11*t**4 + 0*t**3 - p*t**2.
2*t**2*(t - 1)*(t + 1)/11
Let s(z) = 4*z**3 - z**2 + 3*z - 3. Let o(k) = -7*k**3 + 2*k**2 - 5*k + 5. Let r(a) = -3*o(a) - 5*s(a). Factor r(l).
l**2*(l - 1)
Let o = 19 + -21. Let h be (o - 4/4) + 5. Suppose 8/5*w + 2/5*w**h + 8/5 = 0. What is w?
-2
Let c(o) be the third derivative of -o**6/24 - 3*o**5/4 - 32*o**2. Suppose c(d) = 0. Calculate d.
-9, 0
Let v be ((-2)/((-48)/42))/(0 - -1). Determine q so that v*q**5 + 0*q + 1/2*q**2 + 3/4*q**3 - 3*q**4 + 0 = 0.
-2/7, 0, 1
Factor -1 + t**2 - 1/2*t + 1/2*t**3.
(t - 1)*(t + 1)*(t + 2)/2
Let u(c) = -c**4 - c**3 + c**2 + 1. Let i(b) = b**5 + 12*b**4 + 11*b**3 - 11*b**2 - 3*b - 10. Let v(t) = -2*i(t) - 18*u(t). Suppose v(d) = 0. Calculate d.
-1, 1
Let o = 0 - -4. Let s(j) be the first derivative of -8*j - 243/4*j**o - 18*j**3 + 1 + 30*j**2. Solve s(h) = 0.
-2/3, 2/9
Let b = 8 + -5. Let s(k) be the second derivative of 1/6*k**2 + 1/9*k**b + 1/36*k**4 - 2*k + 0. Find v, given that s(v) = 0.
-1
Let w(x) be the second derivative of x**4/78 - 2*x**3/39 - x - 5. Factor w(r).
2*r*(r - 2)/13
Let c(y) be the third derivative of y**7/105 + y**6/20 + y**5/10 + y**4/12 - 6*y**2. Factor c(s).
2*s*(s + 1)**3
Let c(t) be the first derivative of -1/4*t**4 + 2 - 2*t + 2/3*t**3 + 1/2*t**2. Determine x so that c(x) = 0.
-1, 1, 2
Let k(d) be the first derivative of -4/15*d**3 + 0*d - 4 + 1/10*d**4 + 1/5*d**2. Suppose k(a) = 0. What is a?
0, 1
What is u in 244/15*u**2 - 70/3*u**4 + 8*u - 2*u**3 + 16/15 = 0?
-2/5, -2/7, 1
Let o(n) = -n**2 + 8*n + 2. Let z be o(8). Factor u**z + 35 - 35.
u**2
Let d(q) be the third derivative of q**6/40 - 3*q**5/10 + 9*q**4/8 + 10*q**2. Factor d(o).
3*o*(o - 3)**2
Let u(l) be the third derivative of l**7/315 + l**6/36 + 2*l**5/45 + 19*l**2. Solve u(w) = 0 for w.
-4, -1, 0
Let p = -3179/4 + 795. Suppose -5*i = -2 - 18. Determine o, given that o - 3/2*o**2 - 1/4 + o**3 - p*o**i = 0.
1
Let k(u) be the first derivative of 2*u**5/5 - 3*u**4/4 - 2*u**2 - 1. Let p = 9 + -6. Let y(r) = r**4 + r**2 - r. Let b(l) = p*y(l) - k(l). Factor b(q).
q*(q + 1)**3
Let m(l) be the second derivative of l**9/13608 + l**8/3780 + l**7/3780 + l**3/2 + l. Let v(y) be the second derivative of m(y). Determine a so that v(a) = 0.
-1, 0
Suppose -3*g = l - 17, -3*g - 9 = g - 5*l. Let m = 6 - g. Determine b so that -2*b**m + 4*b**2 + 2*b - 4*b**2 = 0.
0, 1
Suppose -4*f + 4*k = -4, 0*f + 5 = -4*f - 5*k. Let n be (f + -12)/4 + 3. Suppose 0 + n*m**2 - 4/3*m**5 - 1/3*m**3 - 5/3*m**4 + 0*m = 0. What is m?
-1, -1/4, 0
Let t(f) be the second derivative of 0*f**2 + 1/3*f**3 + 5*f + 0 - 1/10*f**5 - 1/6*f**4 + 1/15*f**6. Determine q so that t(q) = 0.
-1, 0, 1
Let z(a) = 4*a**2 + a + 3. Let v(w) = 3*w**2 + w + 2. Let u(t) = 3*v(t) - 2*z(t). Let p(m) = m**2 + 4*m - 1. Let s(g) = p(g) - 2*u(g). Factor s(q).
-(q - 1)**2
Let l(q) = q**3 + 2*q**2 - 4*q - 1. Let z be l(-3). Find d such that -1/2 - 1/2*d**z - d = 0.
-1
Suppose 2*j = -j + 12. Let -3*o**3 - 2*o**3 - 3*o**j + 9*o**4 - 3*o**5 + 2*o**3 = 0. Calculate o.
0, 1
Suppose 0*d - 5*i = 2*d, 3*d = 3*i. Suppose 4*k + 6 - 14 = d. Factor k*h + 0*h**2 + 2*h + 2*h**2 + 2.
2*(h + 1)**2
Let m(x) be the second derivative of 3/2*x**2 + 1/4*x**4 + 0 - x + x**3. Factor m(r).
3*(r + 1)**2
Let x(b) be the third derivative of 1/70*b**5 + 0*b + 1/28*b**4 + 1/21*b**3 + 1/420*b**6 + 0 + 2*b**2. What is o in x(o) = 0?
-1
Factor -1/3*v - 1/6*v**4 + 0 - 2/3*v**3 - 5/6*v**2.
-v*(v + 1)**2*(v + 2)/6
Let n = 7 - 11. Let k be (-1 - n) + 3 + -3. Suppose -o**2 - k + 1 + 3*o**2 = 0. What is o?
-1, 1
Let n(d) be the third derivative of 0*d - 2*d**2 - 1/480*d**6 - 1/240*d**5 + 1/96*d**4 + 0 + 1/24*d**3. Determine t, given that n(t) = 0.
-1, 1
Let i(g) be the third derivative of 0*g + 1/5*g**5 + 0 - 1/3*g**4 + 1/3*g**3 + 1/105*g**7 - 1/15*g**6 - 2*g**2. Solve i(p) = 0.
1
Let m(a) be the third derivative of a**8/1344 + a**7/840 - a**6/480 - a**5/240 + 3*a**2. Determine s, given that m(s) = 0.
-1, 0, 1
Suppose -6*j**5 + 4*j**5 - 13*j**5 + 6*j**3 + 9*j**4 = 0. Calculate j.
-2/5, 0, 1
Let k = 7 - 4. Solve 2*a**2 + k - a**3 - 3 = 0.
0, 2
Factor 4/3*x**2 - 4*x + 0.
4*x*(x - 3)/3
Suppose 0 + 8*v**2 - v - 45/4*v**3 - 81/4*v**4 = 0. Calculate v.
-1, 0, 2/9
Let g(v) be the first derivative of 338*v**5/15 + 182*v**4/3 + 148*v**3/3 + 28*v**2/3 + 2*v/3 - 7. Solve g(y) = 0 for y.
-1, -1/13
Let z(i) = -i**4 + 4*i**3 + 7*i**2 + 2*i - 4. Let s(p) = -2*p**4 + 7*p**3 + 13*p**2 + 3*p - 7. Let v(d) = -4*s(d) + 7*z(d). Let v(x) = 0. Calculate