1)*(7*b - 2)/5
Factor -2 - 15*l**3 + 50*l**3 + 2*l**2 - 2*l - 16*l**3 - 17*l**3.
2*(l - 1)*(l + 1)**2
Let v be (1/4)/(105/(-20) + 6). What is u in 2/3 - v*u**3 + 7*u**4 - 23/3*u**2 + 1/3*u = 0?
-1, -2/7, 1/3, 1
Let p(b) be the second derivative of -b**4/3 - 16*b**3/3 - 32*b**2 - b. Let p(m) = 0. Calculate m.
-4
Let d be (-1)/((-9)/6) + 10/(-15). Determine r, given that 0*r + d*r**4 + 0 + 0*r**2 - 1/3*r**3 + 1/3*r**5 = 0.
-1, 0, 1
Suppose -14 = 3*v + 22. Let z(n) = 22*n**2 - 10*n - 20. Let o(y) = -9*y**2 + 4*y + 8. Let t(l) = v*o(l) - 5*z(l). Factor t(f).
-2*(f - 2)*(f + 1)
Suppose 7*r = -4*r. Factor -1/5*b**4 + 0*b + r - 1/5*b**3 + 0*b**2.
-b**3*(b + 1)/5
Let s(w) be the first derivative of 25*w**4/14 - 20*w**3/7 - 36*w**2/7 - 16*w/7 - 1. Solve s(t) = 0 for t.
-2/5, 2
Factor 65*s**3 + 9*s**5 + 56*s**4 + 16*s + 96*s**2 + 0*s + 55*s**3.
s*(s + 2)**3*(9*s + 2)
Let u = 2/737 - 9665/30954. Let g = 9/14 + u. Suppose -2/3 - 4/3*t**2 - g*t**3 - 5/3*t = 0. What is t?
-2, -1
Let b = 26 - 15. Let n = -8 + b. Let -1/3*j**n - 1/3*j + 0 + 2/3*j**2 = 0. What is j?
0, 1
Let t(c) be the first derivative of -1/2*c**3 + 1/12*c**4 + c**2 - 1 - c. Let h(w) be the first derivative of t(w). Solve h(i) = 0.
1, 2
Let z(d) = 5*d**3 + 2*d**2 + d - 4. Let o(p) = 4*p. Let k be o(-1). Let s(r) = -6*r**3 - 2*r**2 - r + 5. Let w(b) = k*s(b) - 5*z(b). Let w(y) = 0. What is y?
-1, 0
Let q be 6*(-5)/(-165) - (-8)/198. Factor -4/9*h**2 - 2/9*h**3 - q*h + 0.
-2*h*(h + 1)**2/9
Let s(z) be the second derivative of -z**7/42 - z**6/10 - z**5/20 + z**4/4 + z**3/3 + 14*z. Solve s(b) = 0 for b.
-2, -1, 0, 1
Suppose -2*q - 6 = -4*q. Factor 37 - k**4 + 6*k**2 - 4*k**2 - 12*k**q - 5 + 48*k + 3*k**4.
2*(k - 4)**2*(k + 1)**2
Let i(m) be the third derivative of m**6/200 - m**5/50 - m**4/40 + m**3/5 - 2*m**2. Solve i(t) = 0.
-1, 1, 2
Let g = 612/5 + -122. Suppose -33 = -2*m - 5*z, -5*m = 2*z - 6*z. Let -6/5*y**2 - g*y**3 - 4/5 + 2*y + 2/5*y**m = 0. Calculate y.
-2, 1
Let k be (-24)/48*(-7 - -1). Factor 1/4 - 1/4*j**k - 1/4*j**2 + 1/4*j.
-(j - 1)*(j + 1)**2/4
Find z such that 2/11*z**5 - 2/11*z**4 + 2/11*z**2 + 0*z + 0 - 2/11*z**3 = 0.
-1, 0, 1
Let v(i) be the second derivative of -1/20*i**5 + 0*i**3 + 0*i**2 + 1/30*i**6 + 0 - 2*i + 1/42*i**7 - 1/12*i**4. Factor v(w).
w**2*(w - 1)*(w + 1)**2
Let t(o) be the second derivative of o**4/36 - o**3/2 - 5*o**2/3 - 10*o + 1. Factor t(a).
(a - 10)*(a + 1)/3
Factor 10*w**2 - 10*w**2 - 30*w + 5*w**2 + 45.
5*(w - 3)**2
Let s(d) be the third derivative of d**10/10080 + d**9/5040 + 5*d**4/24 + 2*d**2. Let i(y) be the second derivative of s(y). Factor i(z).
3*z**4*(z + 1)
Let t be 8/(48/27) + (-3)/2. Let l(n) be the first derivative of 3/5*n - 3/20*n**4 + 3/5*n**t - 9/10*n**2 + 2. Factor l(o).
-3*(o - 1)**3/5
Let v(t) be the second derivative of 1/42*t**4 + 0 - 2/21*t**3 + 1/7*t**2 - 3*t. Find l, given that v(l) = 0.
1
Factor -4*b - 2*b + b**2 + 2*b - 3*b**2.
-2*b*(b + 2)
Determine h, given that -3*h + 93*h**2 - h - 12*h - 89*h**2 + 16 = 0.
2
Let a(q) be the third derivative of q**5/60 - q**3/6 - 3*q**2. Solve a(t) = 0.
-1, 1
Suppose 70 = 5*n + d, -2*n + 3*d + 28 = d. Find u such that 6*u - 2*u**2 - 23*u**2 - 4 - n*u - 12*u = 0.
-2/5
Let g be (-2)/(-8) - 35/(-20). Determine q so that -2*q + g - 2*q**2 + 2*q = 0.
-1, 1
Let w be (-21)/11 + (-48)/(-16). Factor -2/11*b**3 - 16/11 - 24/11*b - w*b**2.
-2*(b + 2)**3/11
Let s(x) = -x**2 - 11*x - 30. Let z be s(-5). Let -d**2 + d**4 + 0*d**3 - 1/2*d + z + 1/2*d**5 = 0. Calculate d.
-1, 0, 1
Factor 21/2*o**2 + 0 - 3/2*o**3 - 9*o.
-3*o*(o - 6)*(o - 1)/2
Let o = -1 + 4. Let h be 0/(o*1/3). Factor -2/5*a**2 + 2/5*a + h.
-2*a*(a - 1)/5
Let q be -3*(-4)/(-3) - -2. Let o be 0/(3 + 0 + q). What is f in 9/4*f**5 + 0*f + 0*f**2 - 3/2*f**4 + 1/4*f**3 + o = 0?
0, 1/3
Let g be ((-20)/(-3))/(8/12). Suppose -3*o + g = 4. Let 2/7*a**3 + 4/7*a**o + 2/7*a + 0 = 0. What is a?
-1, 0
Suppose 3*b - 40 = -b. Let q be 1*6/b + 0. Factor -q*f**3 + 1/5 - f + 7/5*f**2.
-(f - 1)**2*(3*f - 1)/5
Let a(x) be the second derivative of 2*x + 1/3*x**6 - 4/5*x**5 + 2/3*x**4 + 0 - 1/21*x**7 + 0*x**3 + 0*x**2. Find p such that a(p) = 0.
0, 1, 2
Let g(d) be the first derivative of -d**7/1120 + d**5/160 + d**3 + 3. Let o(a) be the third derivative of g(a). Factor o(y).
-3*y*(y - 1)*(y + 1)/4
Let t(g) be the second derivative of -g**5/110 + g**4/33 + 4*g**3/33 - 8*g**2/11 - 4*g. What is o in t(o) = 0?
-2, 2
Let c(h) = -18*h**3 + 30*h**2 - 9*h. Let l(u) = -u**4 + u**2 + u. Let t(n) = -c(n) + 3*l(n). Factor t(r).
-3*r*(r - 4)*(r - 1)**2
Solve -r**2 + 10*r - 6*r + 3*r**2 = 0.
-2, 0
Let f be ((-10)/15)/((-1)/3). Let h = -2 + 4. Factor 12*s + 12 + 4*s**2 + 0*s**f - s**h.
3*(s + 2)**2
Let v(l) be the third derivative of 0*l**3 + 1/270*l**6 + 0*l**4 + 0 + 5*l**2 - 1/270*l**5 - 1/945*l**7 + 0*l. Let v(r) = 0. Calculate r.
0, 1
Let g(c) be the first derivative of -c**7/210 + c**5/25 - c**4/30 - c**3/10 + c**2/5 - 4*c - 5. Let s(v) be the first derivative of g(v). Factor s(d).
-(d - 1)**3*(d + 1)*(d + 2)/5
Factor 8*d - 15*d**3 + 8*d**2 + 25*d**3 - 8*d**3.
2*d*(d + 2)**2
Let z(l) be the first derivative of 1/8*l**4 + 5/24*l**3 + 1/40*l**5 + 0*l + 1/8*l**2 - 1. What is n in z(n) = 0?
-2, -1, 0
Let n be (-1*(3 + 1) - -7)/1. Let l(u) be the first derivative of 1/3*u**6 + 4 + 2/5*u**5 + 0*u**2 + 0*u**n + 0*u**4 + 0*u. Factor l(h).
2*h**4*(h + 1)
Let u be 10/55 - 14/(-44)*1. Let x(r) be the first derivative of -2*r - r**4 + 10/3*r**3 - 8/5*r**5 - u*r**2 - 2 + 5/6*r**6. Determine o, given that x(o) = 0.
-1, -2/5, 1
Let l(p) be the second derivative of -3/10*p**6 + 0*p**2 - 1/12*p**4 + 0*p**3 - 3/10*p**5 + 0 - 2*p. Factor l(o).
-o**2*(3*o + 1)**2
Let l(w) be the first derivative of w**7/42 - 11*w**6/90 + w**5/4 - w**4/4 + w**3/9 + 3*w + 1. Let z(y) be the first derivative of l(y). What is v in z(v) = 0?
0, 2/3, 1
Let o(i) be the first derivative of i**3/6 - 4*i - 3. Let y(k) be the first derivative of o(k). Let s(m) = -7*m**2 - 8*m. Let p(g) = s(g) + 6*y(g). Factor p(q).
-q*(7*q + 2)
Let x = 983/3 - 327. Factor 1/3*c**5 - c + x*c**3 + c**4 - 2/3*c**2 - 1/3.
(c - 1)*(c + 1)**4/3
Let c(h) = -103*h**3 + 350*h**2 - 176*h + 19. Let v(f) = -310*f**3 + 1050*f**2 - 528*f + 56. Let p(j) = -16*c(j) + 5*v(j). Suppose p(q) = 0. What is q?
2/7, 3
Let n be 2/(20/3 - 6). Factor 1/7*r**4 + 0*r**n + 0 - 1/7*r**2 + 0*r.
r**2*(r - 1)*(r + 1)/7
Factor -162/19 - 36/19*i - 2/19*i**2.
-2*(i + 9)**2/19
Factor 48*l**2 - 23*l**4 + 12*l + 2*l**3 + 4*l + 10*l**3 + 3*l**4.
-4*l*(l - 2)*(l + 1)*(5*l + 2)
Let l(q) be the second derivative of q**6/30 + q**5/10 - q**3/3 - q**2/2 - 8*q. Factor l(k).
(k - 1)*(k + 1)**3
Let d(m) be the first derivative of 3 - 3/4*m**4 + 0*m + 3/2*m**2 + 0*m**3. Let d(u) = 0. Calculate u.
-1, 0, 1
Let q(d) be the second derivative of d**5/60 - d**4/40 - d**3/15 + 3*d**2/2 + 5*d. Let v(i) be the first derivative of q(i). Determine w so that v(w) = 0.
-2/5, 1
Let a(k) = 63*k**2 - k + 1. Let p be a(1). Let n = p + -251/4. Factor -1/4 + n*y**2 + 1/4*y - 1/4*y**3.
-(y - 1)**2*(y + 1)/4
Let r be 1*2 + 44 + 0. Let o be (-5)/3 - r/(-24). Find l, given that 1/4*l**3 - o - 1/4*l + 1/4*l**2 = 0.
-1, 1
Solve 39*c - 15*c + c**4 + 6*c**3 + 7*c**2 + 2*c**2 - 20*c = 0.
-4, -1, 0
Let p(h) be the second derivative of 3*h**3 + 0 + 1/4*h**4 + 27/2*h**2 + 2*h. Factor p(r).
3*(r + 3)**2
Let q(f) be the second derivative of -5*f**7/14 - 6*f**6/5 - 3*f**5/5 + 5*f**4/2 + 9*f**3/2 + 3*f**2 + 2*f. What is h in q(h) = 0?
-1, -2/5, 1
Suppose 5 = 3*w - 7. Let a = w + -1. Solve 1/4 + 1/4*d - 1/4*d**a - 1/4*d**2 = 0 for d.
-1, 1
Let h be (-10)/(-14) - 4/(-14). Let m(b) be the first derivative of 2*b - b**2 + 1/6*b**3 - h. Find c such that m(c) = 0.
2
Let z = -7 - -50/7. Let w(i) be the second derivative of z*i**4 + 4/7*i**3 + 0 + 8/7*i**2 + 1/70*i**5 - i. Factor w(q).
2*(q + 2)**3/7
Suppose y = 4*k - k + 30, -4*k = 4*y - 40. Let u be (y/10)/((-3)/(-4)). Solve -2 + h**u + h**2 + h**2 - h**2 = 0.
-1, 1
Let y(c) = -4*c**4 + 6*c**2 + 6*c. Let x(h) = h**2 - 5*h - 6*h**2 + 2*h**4 + h**4. Let k(t) = 6*x(t) + 5*y(t). Determine v so that k(v) = 0.
0
Let a(l) be the third derivative of l**7/1260 - l**6/60 + 3*l**5/20 + l**4/24 + l**2. Let y(o) be the second derivative of a(o). Factor y(c).
2*(c - 3)**2
Let i(l) be t