or t.
-1, 1
Factor 19*s**2 - 6*s - 24*s**2 - 14*s.
-5*s*(s + 4)
Suppose -5*m = -34 - 6. Factor 2*x**2 + 4*x**2 - m*x + 3 - 2*x**2 + x**2.
(x - 1)*(5*x - 3)
Let k(m) = -m**3 - 7*m**2 + 9. Let z be k(-7). Suppose -z = 8*h - 11*h. Factor -8/9*w**h + 0 - 8/9*w**2 + 0*w - 2/9*w**4.
-2*w**2*(w + 2)**2/9
Let g(t) be the first derivative of -7*t**4/18 - 32*t**3/27 - 4*t**2/9 + 1. Find o, given that g(o) = 0.
-2, -2/7, 0
Let r be 132/255*92/56. Let u = r + -6/119. Let 0*m + 0 - 2/5*m**3 - 2/5*m**5 + 0*m**2 + u*m**4 = 0. Calculate m.
0, 1
Let c = -77 - -81. Let p(b) be the third derivative of 0 + 1/48*b**4 + 0*b + c*b**2 - 1/12*b**3 + 1/60*b**5. Let p(t) = 0. Calculate t.
-1, 1/2
Factor 0 - 4*v**3 + 8/5*v + 36/5*v**2.
-4*v*(v - 2)*(5*v + 1)/5
Let s(p) = -p + 1. Let l be s(-1). Suppose 0 = -l*y + 4*y. Factor -1/3*u**4 + y - 1/3*u - u**3 - u**2.
-u*(u + 1)**3/3
Let o(u) be the third derivative of u**6/1320 - u**4/88 + u**3/33 - 17*u**2. Let o(p) = 0. Calculate p.
-2, 1
Let n(x) be the first derivative of x**4/10 + 2*x**3/15 + 11. Factor n(y).
2*y**2*(y + 1)/5
Let o(y) be the third derivative of -3*y**2 + 3/5*y**6 - 8/5*y**5 - 3/35*y**7 - 16/9*y**3 + 0*y + 20/9*y**4 + 0. Factor o(p).
-2*(p - 2)*(3*p - 2)**3/3
Let k(r) be the second derivative of r**7/560 - r**6/240 + r**3/6 - 2*r. Let t(p) be the second derivative of k(p). Factor t(z).
3*z**2*(z - 1)/2
Factor -g - 20*g**2 + g + 4*g**3 + 8*g**2.
4*g**2*(g - 3)
Let j(d) be the second derivative of -2*d**6/15 - 14*d**5/5 - 11*d**4 + 224*d**3/3 - 128*d**2 - 28*d. Factor j(h).
-4*(h - 1)**2*(h + 8)**2
Factor 3*r**2 - r + r + 0*r**2 - 3*r.
3*r*(r - 1)
Suppose -m + 9 = 2*m. Let w = 5 - m. Let 2 - g + w*g**2 - 1 - 2*g = 0. What is g?
1/2, 1
Let l(w) = 7*w**3 + 67*w**2 + 38*w - 16. Let p(k) = 14*k**3 + 132*k**2 + 76*k - 32. Let f(b) = 5*l(b) - 3*p(b). Suppose f(m) = 0. Calculate m.
-8, -1, 2/7
Let x(f) be the second derivative of 1/189*f**7 + 1/5*f**5 + 8/27*f**3 + 0*f**2 + 10/27*f**4 + 7/135*f**6 - 3*f + 0. Factor x(h).
2*h*(h + 1)*(h + 2)**3/9
Let f be (1 - 2)*(-6 + 0). Suppose -3*l - 6 = 2*d, -f = -l + 4*l. Solve 2/3 - 2/3*a**4 + d*a**2 + 4/3*a**3 - 4/3*a = 0 for a.
-1, 1
Let v(b) = -b**3 + 8*b**2 - b + 11. Let g be v(8). What is u in -4*u**g - 2*u**4 - u**2 - 1 + 1 - u**2 = 0?
-1, 0
Let 0 + 3*k**4 + 6/5*k + 3/5*k**2 - 24/5*k**3 = 0. Calculate k.
-2/5, 0, 1
Let t(q) be the third derivative of -q**5/15 + 2*q**4/3 - 2*q**3 + 5*q**2. Factor t(a).
-4*(a - 3)*(a - 1)
Suppose -14 = -v - v. Suppose -4*h + v = -5. Factor -6*p - 2*p**3 + 2*p**h - 6*p**3 + 6*p**2 + 2 + 4*p**3.
-2*(p - 1)**3
Factor -4/9*i**2 + 2/9*i**3 + 2/9*i**4 + 0*i + 0.
2*i**2*(i - 1)*(i + 2)/9
Suppose 0*x = -3*i - 5*x + 14, -x = -4. Let j be (-2 + (0 - i))*1. Factor j + 0*b + 2/5*b**2.
2*b**2/5
Let x be (-2)/(-2) + (-598)/65. Let d = -8 - x. Factor -d*o**2 + 1/5*o + 0.
-o*(o - 1)/5
Factor -7/8*a - 5/8*a**3 - 9/8*a**2 - 1/4 - 1/8*a**4.
-(a + 1)**3*(a + 2)/8
Suppose 4*q = 9 + 3. Let d be (2/q)/(5/12). Factor 2/5*c + 12/5*c**3 + 2/5*c**5 + 0 - d*c**4 - 8/5*c**2.
2*c*(c - 1)**4/5
Suppose -4/23*d + 0 + 2/23*d**2 = 0. Calculate d.
0, 2
Factor -1/5*j**3 - 1/5*j**2 + 4/5 + 4/5*j.
-(j - 2)*(j + 1)*(j + 2)/5
Let l be 2/5 + (-89)/240. Let q(g) be the third derivative of 0 + 3*g**2 + 0*g + l*g**6 - 7/48*g**4 - 1/6*g**3 + 1/60*g**5. Factor q(n).
(n - 1)*(n + 1)*(7*n + 2)/2
Let v(r) be the third derivative of r**7/1680 - r**6/360 + r**5/240 + r**3/6 + 6*r**2. Let n(a) be the first derivative of v(a). Factor n(w).
w*(w - 1)**2/2
Let j(u) be the third derivative of -u**5/40 + u**4/48 + u**3/3 - 20*u**2. Solve j(z) = 0.
-1, 4/3
Let c(i) = -i**2 - 4*i + 8. Let g be c(-5). Factor 16/5 + 2/5*r**g + 12/5*r**2 + 24/5*r.
2*(r + 2)**3/5
Factor 0 - 4/7*v**2 + 0*v.
-4*v**2/7
Let i(c) be the third derivative of c**5/60 - c**4/12 - c**3/2 - 17*c**2. Determine q, given that i(q) = 0.
-1, 3
Let u(d) be the second derivative of -2/15*d**5 + 0*d**3 + 2*d + 0*d**2 - 1/18*d**4 + 0. Solve u(x) = 0 for x.
-1/4, 0
Let n(b) be the first derivative of 3*b**5/35 - 3*b**3/7 - 3*b**2/7 - 9. What is u in n(u) = 0?
-1, 0, 2
Let j(t) = -t**2 + 7*t - 10. Let l be j(5). Determine r so that l - 3/4*r - 3/4*r**2 = 0.
-1, 0
Let k(j) be the first derivative of 4*j**6/3 + 46*j**5/15 + j**4/6 - 14*j**3/3 - 13*j**2/3 - 4*j/3 + 9. Let k(s) = 0. Calculate s.
-1, -2/3, -1/4, 1
Suppose -30 = 5*c + 5*s, -4*c + s - 38 = -2*s. Let t be (c/(-10))/((-44)/(-10)). Factor 0 + 8/11*a**3 + t*a + 10/11*a**2.
2*a*(a + 1)*(4*a + 1)/11
Let m(a) be the second derivative of a**9/7560 - a**7/1260 - a**4/6 + 2*a. Let x(l) be the third derivative of m(l). Factor x(y).
2*y**2*(y - 1)*(y + 1)
Let v = 1 - 0. Suppose -3*z + 22 - v = 3*p, 2*p + z - 9 = 0. Let a(l) = l**2. Let n(q) = -q**3 - 5*q**2. Let y(m) = p*n(m) + 10*a(m). Factor y(o).
-2*o**3
Factor 0 + 4/11*l**2 - 2/11*l**3 + 0*l.
-2*l**2*(l - 2)/11
Let j(n) be the third derivative of -n**9/181440 - n**8/60480 + n**5/30 - 2*n**2. Let f(a) be the third derivative of j(a). Suppose f(l) = 0. Calculate l.
-1, 0
Suppose -1/2*r**2 + 1/4*r**3 + 0*r + 0 = 0. What is r?
0, 2
Let r be ((-1)/6)/(100/(-10)). Let v(s) be the second derivative of -1/30*s**6 + 0*s**2 + 0 + 2/63*s**7 + 0*s**3 - r*s**5 + 0*s**4 + 3*s. Factor v(j).
j**3*(j - 1)*(4*j + 1)/3
Factor 9/7 - 3/7*n**2 - 6/7*n.
-3*(n - 1)*(n + 3)/7
Suppose 20 = -5*r - 0*r. Let d be r/(-5)*(-10)/(-4). Solve d*j - 2/3 - 4/3*j**2 = 0.
1/2, 1
Factor -1/9*q**3 - 1/9*q + 0 - 2/9*q**2.
-q*(q + 1)**2/9
Let t(a) = -5*a**5 - 11*a**4 + 9*a**3. Let q(h) = h**4 - h**3. Let n(g) = -36*q(g) - 4*t(g). Solve n(m) = 0 for m.
-2/5, 0
Let h = 8 - 9. Let g(m) = m**2 + m + 1. Let r(a) = a**2. Let t(o) = g(o) - 2*r(o). Let w(f) = 13*f**2 - 22*f - 2. Let j(x) = h*w(x) - 6*t(x). Factor j(b).
-(b - 2)*(7*b - 2)
Suppose -g = 2*i - 6, 0*g - 5*i - 7 = -3*g. Let x be -1 + 0 + -1 + g. Factor -x + l**2 + l**2 + 0*l**2.
2*(l - 1)*(l + 1)
Find g such that 3*g**2 + 1 - 3 + g - 2*g**2 = 0.
-2, 1
Let n be (-4)/38 - 28/(-266). Suppose -1/3*q + 0*q**2 + 1/3*q**3 + n = 0. What is q?
-1, 0, 1
Suppose -12 = -i + 4*w, -3*i + 36 = 3*w - w. Suppose i + 8*k + 2*k**2 - 4 - 4 - 2*k = 0. Calculate k.
-2, -1
Let j = 3 + -2. Let v be j/4 - (-1 + 1). Factor 1/4 - 3/4*a**2 + 1/2*a**4 - v*a**3 + 1/4*a.
(a - 1)**2*(a + 1)*(2*a + 1)/4
Let q(d) be the first derivative of -2*d - 4 - 3/2*d**2 + 1/3*d**3 + 1/5*d**5 + 3/4*d**4. Solve q(n) = 0 for n.
-2, -1, 1
Let r(a) be the first derivative of -a**3/12 + 3*a**2/2 - 9*a - 36. Determine j so that r(j) = 0.
6
Let i(g) be the third derivative of 0*g**4 + 0*g**6 - 1/2*g**3 + g**2 + 1/10*g**5 - 1/70*g**7 + 0*g + 0. Let i(x) = 0. What is x?
-1, 1
Let d = 35 - 69/2. Suppose 1 + d*r**2 - 5/2*r - 3/2*r**4 + 5/2*r**3 = 0. What is r?
-1, 2/3, 1
Factor 2/7*z**2 - 2/7*z**4 + 0 + 0*z + 0*z**3.
-2*z**2*(z - 1)*(z + 1)/7
Let l = -187 + 190. Let -l - 1/3*u**2 - 2*u = 0. Calculate u.
-3
Let u(l) = -l**2 + 10*l + 13. Let t be u(11). Find h such that -2*h**2 + t*h - h + h**2 = 0.
0, 1
Suppose -3*j + 16 = 4. Factor -o**3 + 2 - 7 + 9*o**3 + 1 + j*o**2 - 6*o - 2*o**5.
-2*(o - 2)*(o - 1)*(o + 1)**3
Let k(p) be the first derivative of 0*p + 0*p**2 - 4 - 5/4*p**4 + 1/6*p**6 - p**3 - 1/5*p**5. Determine i, given that k(i) = 0.
-1, 0, 3
Let i(q) = -q**2 + 4*q - 2 - 5*q - 5*q. Let o be i(-5). Suppose 2/9*h**o + 0 + 0*h**2 - 2/9*h = 0. Calculate h.
-1, 0, 1
Let q be (-5)/10 + 94/156. Let x = q + 3/13. Factor 0 - x*c**2 + 0*c - 5/6*c**4 + 7/6*c**3.
-c**2*(c - 1)*(5*c - 2)/6
Let p(y) be the third derivative of -2*y**7/105 - 3*y**6/10 - 28*y**5/15 - 6*y**4 - 32*y**3/3 - 2*y**2 - 51. Factor p(t).
-4*(t + 1)*(t + 2)**2*(t + 4)
Let k(z) be the third derivative of -z**7/5460 - z**6/2340 + z**5/780 + z**4/156 - z**3/6 - 5*z**2. Let m(y) be the first derivative of k(y). Factor m(s).
-2*(s - 1)*(s + 1)**2/13
What is d in 0 + 2/11*d + 2/11*d**2 = 0?
-1, 0
Let v(m) = -4*m**5 + m**3 + m**2 - 13*m - 5. Let i(l) = -5*l**5 - l**4 + 2*l**2 - 14*l - 6. Let n(q) = -5*i(q) + 6*v(q). Let n(f) = 0. What is f?
-2, 0, 1
Let h(t) be the second derivative of -t + 1/30*t**6 + 0*t**3 - 1/12*t**4 + 0*t**2 + 1/20*t**5 + 0 - 1/42*t**7. Find y, given that h(y) = 0.
-1, 0, 1
Let y(k) = -20*k**2 + 8*k + 3. Let u(d) be the first derivative of 7*d**3 - 4*d**2 - 4*d + 8. Let g = -5 - -10. Let w(q) = g*y(q