ivative of g**3 - 18*g**2 + 108*g + 19. Factor l(m).
3*(m - 6)**2
Let p(z) be the first derivative of 3*z**4/20 - z**3/5 - 3*z**2/10 + 3*z/5 + 6. Factor p(w).
3*(w - 1)**2*(w + 1)/5
Let b be (3/2)/(27/(-12)) + 1. Suppose b*h - 1/3*h**2 + 0 = 0. Calculate h.
0, 1
Let a(u) be the third derivative of -u**10/15120 - u**9/2520 - u**8/1680 + u**4/6 - 3*u**2. Let k(h) be the second derivative of a(h). Factor k(v).
-2*v**3*(v + 1)*(v + 2)
Let h(j) be the third derivative of -j**8/90720 + j**5/60 + 5*j**2. Let r(l) be the third derivative of h(l). Factor r(b).
-2*b**2/9
Let j(o) be the first derivative of 0*o**4 + 1/3*o**3 - 1/10*o**5 + 1 - 1/30*o**6 - 2*o + 1/2*o**2. Let z(h) be the first derivative of j(h). Solve z(g) = 0.
-1, 1
Suppose -4*a = -12, 3*a + 3 = s + 4*a. Factor 0*w**2 + s*w + 1/3*w**4 + 0*w**3 + 0.
w**4/3
Suppose 3*t = -h, -4*h - t = t. Factor -2/5*k**3 - 2/5*k**5 + h*k**2 + 0*k + 0 + 4/5*k**4.
-2*k**3*(k - 1)**2/5
Let v(r) = r**3 + r**2 - 2*r. Let o(z) = -3*z**3 - 2*z**2 + 7*z. Let x(j) = 6*o(j) + 21*v(j). Let x(f) = 0. Calculate f.
-3, 0
Let q = 0 - -4. Suppose -q*c + 10 = -2*c. Factor -4*b**2 - b**c - 3*b**4 + 3*b**2 - 5*b**3 + 2*b**3.
-b**2*(b + 1)**3
Let c(u) = u**2 + 8*u - 12. Let x be c(-10). Let q = x + -5. Factor 5*j**4 - 2*j**4 + 0*j**4 - q*j**2.
3*j**2*(j - 1)*(j + 1)
Let y(h) be the second derivative of h**7/357 - 7*h**6/255 + 19*h**5/170 - 25*h**4/102 + 16*h**3/51 - 4*h**2/17 - 5*h. Suppose y(r) = 0. What is r?
1, 2
Let h = -36 + 36. Find s such that -3/4*s**5 + h - 1/2*s**2 - 7/4*s**3 - 2*s**4 + 0*s = 0.
-1, -2/3, 0
Factor 2/9*f**2 - 2/9*f**3 + 2/3 + 10/9*f.
-2*(f - 3)*(f + 1)**2/9
Let p(y) = y**2 - 1. Let n be p(2). Factor -u**4 - 2*u**n - 2*u**2 + 2*u**4 + 3*u**3.
u**2*(u - 1)*(u + 2)
Let b(z) be the second derivative of 0 - 2/25*z**6 + 4*z + 0*z**2 + 2/15*z**4 - 11/50*z**5 + 4/15*z**3 + 3/35*z**7. Factor b(q).
2*q*(q - 1)**2*(3*q + 2)**2/5
Let i(g) = -g**4 - 2*g**3 + 2*g**2 - 2. Let k(r) = -4*r**3 + 5*r**2 - 7 + r**4 - 2*r**4 + 2. Let n(j) = -5*i(j) + 2*k(j). What is x in n(x) = 0?
-2/3, 0
Let w(g) be the first derivative of g**3/18 - 6. Factor w(c).
c**2/6
Let y = 119 - 116. Let n(s) be the first derivative of 0*s - 1/2*s**4 - 2/9*s**6 + 3/5*s**5 + 0*s**2 + 1/9*s**y + 2. What is f in n(f) = 0?
0, 1/4, 1
Let o = -2081/2 + 1020. Let p = o - -21. Factor 0 - p*g**2 + 0*g - 1/2*g**3.
-g**2*(g + 1)/2
Suppose 6*u - 2*u - 8 = 0. Let f be u + 4 + (-3 - -2). Factor -4*m + 8*m**2 - m + 2 - f*m.
2*(m - 1)*(4*m - 1)
Let z(c) be the second derivative of 4*c - 1/2*c**3 + 0 + 0*c**2 + 3/20*c**5 + 0*c**4. Determine o, given that z(o) = 0.
-1, 0, 1
Let q(m) = -10*m**5 - 12*m**4 - 3*m**3 - m**2 + 3*m. Let g(a) = -21*a**5 - 24*a**4 - 6*a**3 - 3*a**2 + 7*a. Let d(x) = -3*g(x) + 7*q(x). Solve d(f) = 0 for f.
-1, 0, 2/7
Let q(u) be the second derivative of u**6/45 - u**5/15 + u**4/18 - u. Find s, given that q(s) = 0.
0, 1
Let i(d) = -d**2 - 5*d - 3. Let n be i(-2). Let q(l) be the first derivative of -1/3*l**2 + 1/6*l**4 + 1 - 2/9*l**n + 2/3*l. Find g, given that q(g) = 0.
-1, 1
Let d(c) = c**5 - c**4 - c**3 + c**2 + c. Let q(n) = 10*n**5 - 26*n**4 + 20*n**3 - 2*n**2 - 7*n. Let w(m) = -5*d(m) - q(m). Let w(o) = 0. Calculate o.
-1/3, 0, 2/5, 1
Let u(t) = t**2 - t + 1. Let k(b) = 3. Let m = -4 - -3. Let p(l) = m*u(l) + k(l). Factor p(v).
-(v - 2)*(v + 1)
What is u in -6/5*u**2 + 54/5 - 2/5*u**3 + 18/5*u = 0?
-3, 3
Let h(r) be the first derivative of -r**4/26 + 2*r**3/13 - 2*r**2/13 - 4. Let h(d) = 0. Calculate d.
0, 1, 2
Let i(m) be the second derivative of -m**7/210 - m**6/24 - 2*m**5/15 - m**4/6 - 5*m**2/2 + m. Let t(j) be the first derivative of i(j). Factor t(q).
-q*(q + 1)*(q + 2)**2
Let r(l) be the first derivative of 0*l**2 - 1/2*l**5 - 3 + 1/3*l**3 - 3/8*l**4 + 0*l. Factor r(x).
-x**2*(x + 1)*(5*x - 2)/2
Suppose -1/2*k + 0 + 1/2*k**2 = 0. What is k?
0, 1
Let t(n) = 7*n**3 + 7*n**2 - 4*n - 7. Let x(g) = 8*g**3 + 8*g**2 - 4*g - 8. Let k(m) = 4*t(m) - 3*x(m). Factor k(y).
4*(y - 1)*(y + 1)**2
Let r = 1/730 + 2913/5110. Factor -4/7*d**4 - 12/7*d**2 - 12/7*d**3 - r*d + 0.
-4*d*(d + 1)**3/7
Suppose -2*g = -g - 2. Factor -t**4 - g*t**3 + 0*t + 0*t**3 - t**3 - 3*t**2 - t.
-t*(t + 1)**3
Let t be (2/8)/(12/24). Let g(h) be the first derivative of 0*h**2 + t*h**4 + 0*h - 2 + 2/3*h**3. Factor g(a).
2*a**2*(a + 1)
Let n(m) be the third derivative of 1/6*m**3 + 0 - 2*m**2 + 1/60*m**5 + 1/12*m**4 + 0*m. What is c in n(c) = 0?
-1
Suppose -4*r + 13 = 45. Let c be (r/(-24))/(1/6). Suppose 6*p**c + p**2 - 4*p**2 - 3 = 0. What is p?
-1, 1
Let x(i) = i**2 - 3*i + 4. Let d(y) = 7 + 3*y**2 + 0*y**2 - y**2 - 5*y. Suppose 6*v - 2 = 40. Let n(z) = v*x(z) - 4*d(z). Factor n(p).
-p*(p + 1)
Suppose 0*c = -5*c + 5*i - 50, -5*c = 5*i + 10. Let a = c + 9. Solve 4*n**2 + n + n + 8*n**3 - 6*n**a = 0 for n.
-1, 0
Let t = 181/45 - 19/5. What is g in 2/9 + t*g**2 - 4/9*g = 0?
1
Suppose 4/7*w**3 - 4/7*w + 2/7*w**4 + 0*w**2 - 2/7 = 0. Calculate w.
-1, 1
Factor 8/5*d - 2 + 2/5*d**2.
2*(d - 1)*(d + 5)/5
Let p = 12 - 9. What is m in 0*m**3 - 6*m**3 - p*m**2 + 11*m - 11*m = 0?
-1/2, 0
Suppose 0 = 3*r - 5*r - 4. Let t be 6/(-18) + r/(-6). Determine g so that 1/3*g**4 + 0*g**2 + t*g + 0 - 1/3*g**3 = 0.
0, 1
Let x be (2/3)/(11/198). Find c, given that -c**2 + 4*c + x*c - 12 - 3*c**2 = 0.
1, 3
Let k(l) be the third derivative of l**8/588 + 2*l**7/105 + l**6/15 + 2*l**5/105 - 5*l**4/14 - 6*l**3/7 + l**2. Determine i so that k(i) = 0.
-3, -1, 1
Suppose f + f - 8 = 0. Suppose 0 = -3*w + s + 7, 0*w + f*w + 3*s - 5 = 0. Factor -2 + x**3 - 2*x**3 - x**3 + 2*x**w + 2*x.
-2*(x - 1)**2*(x + 1)
Let b = 226/77 - 26/11. Factor b*u - 2*u**2 + 0 + 10/7*u**3.
2*u*(u - 1)*(5*u - 2)/7
Let l(n) be the first derivative of -4*n**3/3 - 8*n**2 - 25. Solve l(w) = 0 for w.
-4, 0
Let i(j) = -26*j**4 - 63*j**3 - 47*j**2 - 11*j + 1. Let h(l) = l**4 + l**2 + l + 1. Let c(t) = -h(t) + i(t). Factor c(a).
-3*a*(a + 1)*(3*a + 2)**2
Factor -4/5*o**3 + 16/5 - 16/5*o**2 + 4/5*o.
-4*(o - 1)*(o + 1)*(o + 4)/5
Let t(q) = -3*q**3 + 20*q**2 - 9*q - 30. Let g(c) = c**2. Let l(u) = 2*g(u) - t(u). Solve l(k) = 0 for k.
-1, 2, 5
Factor 2 - 4 + l + 0 + l**2.
(l - 1)*(l + 2)
Let g = 3 - 1. Factor 4*z**3 - 4*z + 0*z**g + 0*z**2 - 3*z**2 + 1 + 2*z**2.
(z - 1)*(z + 1)*(4*z - 1)
Let g(q) be the third derivative of -q**5/90 - 5*q**4/36 - 4*q**3/9 + 6*q**2. Factor g(i).
-2*(i + 1)*(i + 4)/3
Let h(q) be the third derivative of -q**6/180 + q**5/45 + q**4/12 + 8*q**2. Factor h(z).
-2*z*(z - 3)*(z + 1)/3
Let z(f) be the second derivative of -f**6/120 + 11*f**4/48 - 3*f**3/4 + f**2 - 7*f + 3. Let z(w) = 0. What is w?
-4, 1, 2
Solve 0*d**2 + 3*d**2 - 3*d**3 + 51*d**4 - 54*d**4 + 3*d**5 = 0 for d.
-1, 0, 1
Let n(l) be the third derivative of l**10/105840 - l**9/17640 + l**8/7840 - l**7/8820 - l**5/15 - 3*l**2. Let u(y) be the third derivative of n(y). Factor u(f).
2*f*(f - 1)**2*(5*f - 2)/7
Let o = -560 + 1798/3. Let j = -566/15 + o. Let 8/5*v - 2/5*v**2 - j = 0. Calculate v.
2
Let z be 3 + 0 + 0 + 1. Let f(r) = 2 - 1 - 2. Let h(q) = -q**2 + 2*q - 4. Let a(i) = z*f(i) - h(i). Let a(t) = 0. What is t?
0, 2
Let -4*b**2 - 3*b + 3*b + 8 - 4*b = 0. Calculate b.
-2, 1
Suppose 0*z = z - 4*o - 6, -5*o = -4*z + 13. Suppose -z = -3*a + 1. Factor 7*h - a - 32*h**2 - 3 + 14*h**3 + 15*h.
2*(h - 1)**2*(7*h - 2)
Factor 0*u**4 + 0*u - 9/4*u**3 - 3/2*u**2 + 0 + 3/4*u**5.
3*u**2*(u - 2)*(u + 1)**2/4
Suppose 2*r - 3 - 5 = 0. Factor 4*y**2 + 12*y**3 - 8*y**4 + 11*y**r + 8*y**2.
3*y**2*(y + 2)**2
Let u(c) be the third derivative of -c**8/84 + c**6/10 - 2*c**5/15 - 14*c**2 - c. Factor u(h).
-4*h**2*(h - 1)**2*(h + 2)
Let v(g) be the second derivative of -g**5/60 - g**4/36 - 19*g. What is y in v(y) = 0?
-1, 0
Suppose 2*n + n = 0. Solve p + 2*p**3 - 3*p**3 + n*p**2 + p**4 - p**2 + 0*p = 0.
-1, 0, 1
Suppose -12 = -3*g - 3. Let z = g + 0. Suppose -6*n**z - 8*n + 402*n**4 - 73*n**4 + 490*n**5 - 52*n**2 - 24*n**3 = 0. What is n?
-1/2, -2/7, 0, 2/5
Let w be ((-3)/6)/(((-12)/(-9))/(-2)). Factor -27/4*t - w - 18*t**2 - 12*t**3.
-3*(t + 1)*(4*t + 1)**2/4
Let b(o) = 4*o**2 - o - 9. Let j(r) be the third derivative of -r**5/12 + r**4/12 + 5*r**3/3 + 6*r**2. Let g(n) = -6*b(n) - 5*j(n). Solve g(z) = 0.
2
Let x(z) = -3*z - 66. Let p be x(-22). Factor p + 1/7*w**2 + 2/7*w