 32/9 + 1250/9*g**4 + 400/3*g**2 - 2000/9*g**3.
2*(5*g - 2)**4/9
Let l(k) be the third derivative of -k**6/120 + k**5/30 - k**4/24 - 23*k**2. Factor l(i).
-i*(i - 1)**2
Let n = -12 - -19. Suppose n*h = 5*h. Factor -2/9*q**3 + h*q + 0 + 2/9*q**2.
-2*q**2*(q - 1)/9
Let r(w) = w**4 + w**2 - w + 1. Let y(z) = 12*z**4 - 39*z**3 + 43*z**2 - 15*z + 3. Let i(b) = -12*r(b) + 4*y(b). Factor i(l).
4*l*(l - 3)*(3*l - 2)**2
Let m(u) = -2*u**2 - 12*u + 3. Let y be m(-6). Determine r so that 8/9*r**y + 8/9*r**2 + 0 + 0*r + 2/9*r**4 = 0.
-2, 0
Let z(g) be the second derivative of -g**7/42 - 2*g**6/15 - 3*g**5/10 - g**4/3 - g**3/6 - 18*g. Factor z(b).
-b*(b + 1)**4
Let g = -7 + 9. Factor -m**2 + m**2 + 3*m**g + 3*m.
3*m*(m + 1)
Let z be 20/150 + (-128)/(-90). Determine n so that 8/9 - z*n**2 + 8/3*n = 0.
-2/7, 2
Let k(v) = -v**2 + 10*v + 12. Let w be k(11). Let o be 2*(w + (-6)/8). Solve -1/2*p**4 - o*p + 1/2*p**2 + 0 + 1/2*p**3 = 0 for p.
-1, 0, 1
Suppose 0*o - 2*o = 48. Let j be (-2)/3 + (-32)/o. Solve -2/3*v**2 + 2/3*v**3 + 2/3 - j*v = 0 for v.
-1, 1
Let w = -191/4 + 48. Let i(b) be the first derivative of -1/5*b**5 + 0*b**3 - w*b**4 - 3 + 0*b + 0*b**2. Factor i(q).
-q**3*(q + 1)
Let j(x) be the third derivative of -x**8/840 + x**7/105 - 3*x**6/100 + 7*x**5/150 - x**4/30 - 15*x**2. Factor j(m).
-2*m*(m - 2)*(m - 1)**3/5
Let s(a) = -2*a + 2. Let p be s(6). Let i(d) = 4*d**5 - 2*d**4 - d**3 + 5*d + 5. Let c(h) = h**5 + h + 1. Let o(z) = p*c(z) + 2*i(z). Factor o(r).
-2*r**3*(r + 1)**2
Let w be (-4)/12*(-1)/1. Let z(q) be the first derivative of 0*q + 3/5*q**5 + 0*q**2 - 3/4*q**4 - 1 - 1/6*q**6 + w*q**3. Solve z(r) = 0 for r.
0, 1
Suppose 2/3*y**2 + 2/3 + 4/3*y = 0. What is y?
-1
Let g(a) be the first derivative of 3*a**5/20 - 5*a**4/32 + a**3/24 + 11. Solve g(b) = 0.
0, 1/3, 1/2
Let k = -1 + -5. Let q(s) = s + 8. Let j be q(k). Determine t so that -3*t**4 - 3*t - 2*t**j + 5*t**4 + t**5 + 2*t = 0.
-1, 0, 1
Suppose -4*j = -0*j. Let y = 18 + -16. Factor 2/3*i**y - 2/3 + j*i.
2*(i - 1)*(i + 1)/3
Let i = 8 + -7. Solve -i + 1 + 8*v**2 + 2*v - 2 + 12*v**2 + 16*v**3 = 0 for v.
-1, -1/2, 1/4
Determine q so that 12 + 1/3*q**2 + 4*q = 0.
-6
Let u = -18624 + 279199/15. Let b = u + 62/5. Let 0 - 2/3*z + 2/3*z**3 - b*z**2 + 5/3*z**4 = 0. What is z?
-1, -2/5, 0, 1
Let r(p) = p**2 + 4*p - 2. Let g(x) = x**2 + 5*x - 2. Let q(a) = 5*g(a) - 6*r(a). Find m such that q(m) = 0.
-1, 2
Let g be 0 - -4 - 2/1. Factor 2*i**2 - 11 + 9 + 0*i**g.
2*(i - 1)*(i + 1)
Let q(b) be the first derivative of -4*b**3/3 - 6*b**2 - 13. Factor q(p).
-4*p*(p + 3)
Let y be -2 + (132/(-64))/(-1). Let k(j) be the first derivative of 0*j - 1/8*j**2 - 2 + 1/12*j**3 - 1/20*j**5 + y*j**4. Factor k(u).
-u*(u - 1)**2*(u + 1)/4
Let o(z) = -z - 8. Let m be o(6). Let j be 4/8 - m/(-44). Factor -j*k**3 - 2/11*k**2 + 2/11*k + 2/11.
-2*(k - 1)*(k + 1)**2/11
Let a(j) be the second derivative of -2/9*j**4 - 4/45*j**6 + 0 - 1/63*j**7 - j - 1/5*j**5 + 0*j**2 - 1/9*j**3. Suppose a(f) = 0. What is f?
-1, 0
Let z(u) = 3*u**4 - 3*u**3 - 9*u**2 - 3*u. Let p(q) = -3*q**4 + 4*q**3 + 10*q**2 + 3*q. Let w(s) = -6*p(s) - 7*z(s). Factor w(y).
-3*y*(y - 1)*(y + 1)**2
Suppose 0 = -4*p - 5*k - 1, 4*k + 0*k + 50 = 5*p. Let o be 8/p*6/4. Factor -3*s**o + s**2 + s**3 + s**2.
s**2*(s - 1)
Let u(k) be the first derivative of k**6/1620 + k**5/540 - 5*k**3/3 + 5. Let i(q) be the third derivative of u(q). Find v such that i(v) = 0.
-1, 0
Let m be -2 - -7 - (3 + -1). Let i be (-3 + 7 - m) + 2. Solve 9*f + 5*f + 6 - 3*f**4 - 5*f - i*f**2 - 9*f**3 = 0.
-2, -1, 1
Let v be 1 + 0 + 9 + -7. Factor -4*s**4 + 3*s**2 + v*s**3 - 9*s**5 - 2*s**4 - 3*s**2.
-3*s**3*(s + 1)*(3*s - 1)
Let d = -7075/21 + 337. Let z(y) be the first derivative of 1/14*y**4 - d*y**3 - 1 + 2/35*y**5 + 0*y - 1/21*y**6 + 0*y**2. Factor z(s).
-2*s**2*(s - 1)**2*(s + 1)/7
Factor -1/10*z**3 + 3/5*z**2 - 9/10*z + 2/5.
-(z - 4)*(z - 1)**2/10
Let l(i) be the first derivative of i**3/9 - i**2/12 + 9. Solve l(r) = 0 for r.
0, 1/2
Let p(x) be the first derivative of 2*x**5/85 - 4*x**3/51 + 2*x/17 + 20. Factor p(z).
2*(z - 1)**2*(z + 1)**2/17
Factor -6/7 + 9/7*h**2 - 25/7*h.
(h - 3)*(9*h + 2)/7
Let l(a) be the second derivative of a**4/42 + 2*a**3/21 + a**2/7 - 4*a. Factor l(q).
2*(q + 1)**2/7
Let s(q) be the second derivative of -q**7/2520 - q**6/1080 + q**5/360 + q**4/72 - 2*q**3/3 - 5*q. Let h(l) be the second derivative of s(l). Factor h(r).
-(r - 1)*(r + 1)**2/3
Let o(w) = w**3 + 3*w**2 + 3*w + 1. Suppose -3*c - 5 - 73 = 0. Let l(j) = 15*j + 4 + j - 4*j + 12*j**2 + 4*j**3. Let g(n) = c*o(n) + 6*l(n). Factor g(s).
-2*(s + 1)**3
Suppose -2*k + 33 = 5*d, -d - 2*k = -4*d + 7. Suppose 0 = -2*j + 4*n - 20, -j = 2*j - n + d. Solve -4/7*y - 2/7*y**2 + j + 2/7*y**3 = 0 for y.
-1, 0, 2
Factor 0 - 2*a**3 - 4/3*a**2 + 10/3*a**4 + 0*a.
2*a**2*(a - 1)*(5*a + 2)/3
Let y be ((-223)/(-12) - 2) + 18/(-72). Find t, given that -49/3*t**2 + 4/3*t + 4/3 - y*t**3 = 0.
-1, -2/7, 2/7
Let o(w) be the second derivative of -w**7/2520 + w**5/120 + w**4/6 + 2*w. Let u(t) be the third derivative of o(t). Factor u(b).
-(b - 1)*(b + 1)
Let f(b) be the second derivative of b**7/252 + b**6/90 + 20*b. Find y, given that f(y) = 0.
-2, 0
Let d be (3/(-2))/((-14)/1692). Let q = d - 181. Find o such that q*o**2 + 2/7*o + 0 = 0.
-1, 0
Let c(d) be the first derivative of 2*d**3/21 + 3*d**2/7 + 2. Solve c(r) = 0.
-3, 0
Let x(j) be the third derivative of 2*j**2 + 0 + 0*j + 0*j**4 + 1/33*j**3 - 1/330*j**5. Factor x(q).
-2*(q - 1)*(q + 1)/11
Let u = 241 - 369. Let w be (-2)/3 - u/84. Let w*b**5 - 4/7*b**2 + 2/7*b**4 + 6/7*b - 12/7*b**3 + 2/7 = 0. Calculate b.
-1, -1/3, 1
Let i(o) be the second derivative of -o**5/30 + o**3/3 - 3*o**2/2 - 3*o. Let a(z) be the first derivative of i(z). What is r in a(r) = 0?
-1, 1
Let a(d) = 16*d**2 - 21*d - 11. Let y(x) = 3*x**2 - 4*x - 2. Let c(o) = -2*a(o) + 11*y(o). Factor c(w).
w*(w - 2)
Let i(u) be the first derivative of u**4 + 0*u**3 + 0*u**2 + 0*u - 3 + 6/5*u**5. Determine v so that i(v) = 0.
-2/3, 0
Let i(a) be the second derivative of 0*a**4 + 0*a**2 + 0*a**5 - 1/2*a**3 + 1/180*a**6 + 3*a + 0. Let g(x) be the second derivative of i(x). Factor g(n).
2*n**2
What is n in 0*n**2 + 3*n**4 + n**2 - 6*n**3 - n**2 = 0?
0, 2
Let p(y) = y**2 - 1. Let o(v) = 8*v**2 - 2*v - 10. Suppose -4*a = 11 - 3. Let s be 6/4 + (-1)/a. Let u(d) = s*o(d) - 18*p(d). Factor u(l).
-2*(l + 1)**2
Let i(f) be the second derivative of -f**7/168 + f**6/60 - f**4/24 + f**3/24 - 9*f. Suppose i(w) = 0. Calculate w.
-1, 0, 1
Let x be 4/105*(-1)/(-16). Let r(s) be the third derivative of -1/210*s**5 + 0*s**3 + x*s**6 - 4*s**2 + 0*s**4 + 0 + 0*s. Determine k, given that r(k) = 0.
0, 1
Let d(r) = r**4 + 3*r**3 + 2*r**2 - 2*r. Let i(x) = 3*x**4 + 9*x**3 + 7*x**2 - 5*x. Let l(t) = 14*d(t) - 4*i(t). Factor l(g).
2*g*(g - 1)*(g + 2)**2
Let u = 1710/7 - 244. Suppose 4/7 + 2/7*k - u*k**2 = 0. Calculate k.
-1, 2
Let m(b) be the third derivative of 3*b**2 + 0 + 1/420*b**6 + 0*b**3 + 0*b - 1/84*b**4 + 0*b**5. Factor m(i).
2*i*(i - 1)*(i + 1)/7
Let x(z) be the third derivative of z**5/20 - z**4/8 - 3*z**2. Suppose x(t) = 0. What is t?
0, 1
Let w(k) = 6*k**2 - k**3 - 1 + k**2 + 6 + 3*k. Let h be w(7). Factor 7*i + h*i - 8 - 90*i**2 + 23*i.
-2*(5*i - 2)*(9*i - 2)
Let l(d) = d**5 - 7*d**4 - 7*d**3 - 5*d**2 - 6. Let t(i) = -i**5 + 8*i**4 + 8*i**3 + 6*i**2 + 7. Let w(x) = 7*l(x) + 6*t(x). Determine j so that w(j) = 0.
-1, 0, 1
Factor r**2 - 2*r**3 + 3/2*r + 1/2*r**5 + 0*r**4 - 1.
(r - 1)**3*(r + 1)*(r + 2)/2
Solve 4/13*c + 2/13 + 2/13*c**2 = 0.
-1
Let q(u) be the third derivative of -u**6/150 + u**5/25 + 2*u**4/15 + 8*u**2. Factor q(d).
-4*d*(d - 4)*(d + 1)/5
Suppose 0*r - 4*r = 4*o - 12, 3*o = 5*r + 9. Let c be 10/(-10) + (-22)/(-18). Factor r*u + 0 + c*u**2.
2*u**2/9
Let d be 2/2 - (-5 + 3). Let u(j) = j - 1. Let q(i) = -3*i**3 - 3*i**2 + 6. Let z(a) = d*u(a) + q(a). Factor z(r).
-3*(r - 1)*(r + 1)**2
Let n(w) be the first derivative of 1/24*w**6 - 3/20*w**5 + 1/4*w - 3/8*w**2 + 1 + 1/6*w**3 + 1/8*w**4. Find l such that n(l) = 0.
-1, 1
Let m = -3 + 5. Let 2*x**4 + 4*x - 11*x**2 - 4*x**4 + 33*x**m - 16*x**2 = 0. What is x?
-1, 0, 2
Let d(i) be the third derivative of -i**7/840 + i**6/480 + 2*i**2 + 6*i. Factor d(q).
-q**3*(q - 1)/4
Suppo