 + 6*h**2 + 6*h + 7. Let x be z(-5). Determine b, given that -b**2 - x*b**2 + 9*b - 6 + 6 = 0.
0, 3
Let f be (12/(-9))/2*(-45)/10. Solve -1/2*d**5 + 1/2*d**f - 1/2*d**4 + 0 + 0*d + 1/2*d**2 = 0.
-1, 0, 1
Let d(i) = -i**3 - 5*i**2 - i + 5. Let p be d(-4). Let h = p - -7. Factor -1/3*m**4 + 2/3*m**3 + 0*m + h - 1/3*m**2.
-m**2*(m - 1)**2/3
Let h(u) = -u**3 - 7*u**2 - 3*u + 3. Let q be h(-7). Solve 0*d - d + d**3 + q*d**4 - 4*d**2 - 20*d**4 = 0 for d.
-1, -1/4, 0, 1
Let n(a) = -a**3 - 13*a**2 - 10*a + 24. Let t be n(-12). Let 0*u**2 - 1/2*u**4 + 1/2*u**3 + 0*u + t = 0. Calculate u.
0, 1
Let d be 15/6 - 2/(-4). Let v be d/12 + (-2 - -2). Determine g, given that -v*g**3 - 1/4*g**2 + 1/4*g + 1/4 = 0.
-1, 1
Let r be ((-20)/16 + 1)*0. Let i(l) be the first derivative of -1/6*l**4 + 0*l + 4 + r*l**2 - 2/9*l**3. Let i(z) = 0. Calculate z.
-1, 0
Suppose 2*w - 4*y = 3*w + 9, -2*w + 5*y = -21. Let -84 + w*l**2 + 84 = 0. Calculate l.
0
Let b be 5 + (5/4 - 6). Let -1/4*t**2 + 1/2 - b*t = 0. What is t?
-2, 1
Factor 3 + u + 1 - 4*u**2 - u.
-4*(u - 1)*(u + 1)
Let y(w) = -29*w**4 + 45*w**3 - 29*w**2 + 11*w + 11. Let h(r) = 10*r**4 - 15*r**3 + 10*r**2 - 4*r - 4. Let s(m) = 11*h(m) + 4*y(m). Factor s(q).
-3*q**2*(q - 2)*(2*q - 1)
Let y(t) be the second derivative of 0 - t - 1/2*t**2 - 1/6*t**3 - 1/48*t**4. Determine a, given that y(a) = 0.
-2
Let z be (-185)/(-75) + 5 + 144/(-30). Determine q, given that z*q**2 - 10/3*q + 2/3 = 0.
1/4, 1
Let m(b) be the second derivative of -b**8/7560 - b**7/3780 + b**6/1620 + b**5/540 + b**3/3 + 3*b. Let r(a) be the second derivative of m(a). Factor r(u).
-2*u*(u - 1)*(u + 1)**2/9
Let r(w) = -w**2 + w + 1. Let h(o) = -19*o**2 - 5*o + 10. Let v(t) = h(t) - 4*r(t). Suppose v(g) = 0. What is g?
-1, 2/5
Let z be 4/2*20/8. Suppose 8*l = 3*o + 4*l - 24, 5*o - 5 = -z*l. Solve c**2 + c**3 + c**2 - 3*c**2 + o*c**4 - c**5 - 3*c**4 = 0 for c.
-1, 0, 1
Let b = 13 + -13. Determine a, given that b - 5*a**2 - 3*a**3 + 6*a + 0 - 8*a = 0.
-1, -2/3, 0
Let h = -10 + 15. Find b such that -4*b - b**2 - 4 + 5*b + 0 - h*b = 0.
-2
Let p(b) be the third derivative of -b**7/1260 - b**6/144 - b**5/40 - 7*b**4/144 - b**3/18 + 69*b**2. Find j such that p(j) = 0.
-2, -1
Let g(m) be the second derivative of -m**4/14 + 3*m**3/7 - 6*m**2/7 + 4*m. Suppose g(d) = 0. What is d?
1, 2
Factor 4 + 7*o**3 + 8*o - 3*o**3 - 5*o - 4*o**2 - 7*o.
4*(o - 1)**2*(o + 1)
Find b such that -10/11 - 2/11*b**2 + 12/11*b = 0.
1, 5
Let l be 4/(-8) - 5/(-2). Suppose 0 = 4*q - 8, -2 - l = 2*m - 5*q. Factor -f - f**m + 3*f**3 - f.
2*f*(f - 1)*(f + 1)
Let y(q) be the second derivative of -q**7/210 - q**6/50 - q**5/50 - 8*q. Factor y(x).
-x**3*(x + 1)*(x + 2)/5
Let y(a) be the third derivative of a**6/210 - 15*a**2. Factor y(c).
4*c**3/7
Let d(o) be the second derivative of -5*o + 11/2*o**3 + 21/20*o**5 - 4*o**4 - 3*o**2 + 0. Factor d(r).
3*(r - 1)**2*(7*r - 2)
Let f(y) be the second derivative of -y**5/30 + y**4/6 - y**3/3 - 3*y**2 - y. Let q(o) be the first derivative of f(o). Solve q(r) = 0 for r.
1
Let r(j) = j + 30. Let f be r(-30). Factor f*c**2 - 2/3*c**5 + 0*c + 0*c**3 - 2/3*c**4 + 0.
-2*c**4*(c + 1)/3
Let d(a) = -a**3 - a**2 + 3. Let s be d(0). Suppose s*m - 5*u + 20 = -u, -5*u = -25. Solve m*b - 2/7*b**2 + 0 - 4/7*b**3 - 2/7*b**4 = 0.
-1, 0
Suppose -2 = 3*d - 4*d. Suppose 2*h = -d*h + 12. Factor -p + 0*p**2 + p**h - 1/2*p**4 + 1/2.
-(p - 1)**3*(p + 1)/2
Suppose -j = 5*a - 5, -1 = -0*j + j - a. Let w(o) be the second derivative of -8/3*o**4 + 7/10*o**5 + 11/3*o**3 - 2*o**2 - o + j. Factor w(x).
2*(x - 1)**2*(7*x - 2)
Let v(c) = c**2 - 4*c + 5. Let t be v(4). Factor -4*b**3 - 3*b**4 + 4*b**3 - 3*b**t.
-3*b**4*(b + 1)
Let h(r) be the third derivative of -r**6/24 - r**5/4 + 4*r**2. Factor h(z).
-5*z**2*(z + 3)
Factor -6/19*r**2 + 2/19*r + 4/19.
-2*(r - 1)*(3*r + 2)/19
Let v(n) be the second derivative of n**7/399 - n**5/190 + 12*n. Factor v(f).
2*f**3*(f - 1)*(f + 1)/19
Let k = 9 - 4. Let j(s) = 3*s - 21. Let r be j(7). Solve 1/2*t**4 + 0*t**3 - 1/4*t + r - 1/2*t**2 + 1/4*t**k = 0.
-1, 0, 1
Factor -4/7*a - 6/7*a**2 + 0 - 2/7*a**3.
-2*a*(a + 1)*(a + 2)/7
Let s(w) be the second derivative of -w**6/720 + w**5/240 - w**3/2 - 3*w. Let f(r) be the second derivative of s(r). Factor f(c).
-c*(c - 1)/2
Factor -611*h**2 + 307*h**2 + 30*h + 309*h**2.
5*h*(h + 6)
Let h(q) be the third derivative of -q**7/3780 + q**5/180 - q**4/12 - 5*q**2. Let w(j) be the second derivative of h(j). Factor w(m).
-2*(m - 1)*(m + 1)/3
Suppose 0*z - 4*z = 0. Let w(n) = -n**2 - 8*n + 12. Let c be w(-9). Find h such that z*h**3 + 10*h**3 - 8*h**c - 2*h = 0.
-1, 0, 1
Factor 2*j + j - 7*j + 4 - 2*j**2 - 6.
-2*(j + 1)**2
Let n(a) = 4*a**2 + 3*a - 1. Suppose -2*u + 0 - 2 = 0. Let j(c) = c**2 + c. Let v(o) = u*n(o) + 3*j(o). Let v(h) = 0. What is h?
-1, 1
Let r(m) be the third derivative of -m**7/105 + m**6/60 + 2*m**5/15 - m**4/3 + 11*m**2. What is o in r(o) = 0?
-2, 0, 1, 2
Let j(w) be the first derivative of -w**5 - 35*w**4/4 + 45*w**3 - 145*w**2/2 + 50*w + 31. Factor j(h).
-5*(h - 1)**3*(h + 10)
Factor -2*f**3 + 5*f**3 - 5*f**3.
-2*f**3
Let r be (-2)/(-6) - (-32)/3. Let h = -7 + r. Factor 2*q**h + 2*q**4 + 2*q**4 - 5*q**4.
q**4
Let w = 8 + -5. Let d be (-5)/((-15)/2)*(-30)/(-12). Solve -d*k**2 - 8/3*k - 4/3 - 1/3*k**w = 0 for k.
-2, -1
Let v(o) = -28*o**4 - 5*o**3 + 87*o**2 - 35*o - 19. Let d(q) = -140*q**4 - 26*q**3 + 434*q**2 - 174*q - 94. Let j(w) = -3*d(w) + 14*v(w). Factor j(t).
4*(t - 1)**2*(t + 2)*(7*t + 2)
Let t(a) = -a + 12. Let w be t(10). Factor 12*g - 6*g - 6*g**w + 5*g**4 - 2*g**4 - 3*g**2.
3*g*(g - 1)**2*(g + 2)
Suppose 2 - 7 = -5*g. Let x be 2/(-3) - (-1 - g). Suppose -2*z - x - 2/3*z**2 = 0. Calculate z.
-2, -1
Factor 13/2*h + 3 + 7/2*h**2.
(h + 1)*(7*h + 6)/2
Let h(j) = -52*j**3 - 81*j**2 + 108*j + 47. Let f(g) = -17*g**3 - 27*g**2 + 36*g + 16. Let a(k) = -11*f(k) + 4*h(k). Factor a(b).
-3*(b - 1)*(b + 2)*(7*b + 2)
Suppose -3*i - 17 - 13 = 0. Let t(j) = -j**3 - 11*j**2 - 10*j + 2. Let p be t(i). What is l in 0 - 1/3*l**p + 0*l - 2/3*l**3 - 1/3*l**4 = 0?
-1, 0
Suppose -30*g + 28*g + 4 = 0. Find f, given that 2/9*f**g - 4/3*f + 2 = 0.
3
Suppose 2/7 + 2/7*t**2 + 4/7*t = 0. Calculate t.
-1
Let g(n) = -12*n**3 - 107*n**2 - 38*n. Let i(t) = -13*t**3 - 108*t**2 - 37*t. Let o(a) = -2*g(a) + 3*i(a). Factor o(r).
-5*r*(r + 7)*(3*r + 1)
Let g(j) = j**2 - 1. Let s = 3 - 0. Let a(y) = -y**3 + 3*y**3 - 5*y**s - 5*y**2 - 1 - 5*y + 2*y**3. Let b(k) = -a(k) - g(k). Suppose b(i) = 0. Calculate i.
-2, -1
Let v(c) = 3*c**2 + 4*c - 7. Let s be (-4)/(-12) + (-10)/(-6). Let x(n) = -1 + 8 - 2 - s*n**2 - 3*n. Let b(j) = 5*v(j) + 7*x(j). Solve b(u) = 0.
0, 1
Let j(v) = -v**2 + 10*v - 1. Let l(i) = i**2 - 11*i. Let b(d) = 4*j(d) + 3*l(d). Let o be b(4). What is k in -2/3 - 38/3*k**2 - o*k**3 - 16/3*k = 0?
-1, -1/3, -1/4
Factor 4*s**2 + 3*s**2 + 5*s**3 + 2 + 3*s**2 - 12 - 5*s.
5*(s - 1)*(s + 1)*(s + 2)
Let q = 272/655 + -2/131. Factor q*y**2 + 0 - 4/5*y - 2/5*y**4 + 4/5*y**3.
-2*y*(y - 2)*(y - 1)*(y + 1)/5
Let l(z) be the second derivative of z**7/105 - z**5/30 - z**2/2 + z. Let w(h) be the first derivative of l(h). Determine a, given that w(a) = 0.
-1, 0, 1
Let x be (12 + 0)*(-2)/(-4). Let u = x + -3. Determine h so that 2*h**3 + h**u - 2*h**3 + 2*h**2 + h**3 = 0.
-1, 0
Let m(d) be the second derivative of -1/40*d**6 - 3/40*d**5 + 2*d + 1/2*d**3 - 3/2*d**2 + 3/16*d**4 + 0. What is i in m(i) = 0?
-2, 1
Let o(y) = 14*y**4 - 20*y**3 + 18*y**2 - 2*y + 10. Let q(z) = -z**4 + z**3 - z**2 - 1. Let t(f) = 2*o(f) + 20*q(f). Determine v so that t(v) = 0.
0, 1/2, 1
Let h = -193/15 + 13. Let n(q) be the third derivative of -2*q**2 - h*q**3 - 1/300*q**5 - 1/200*q**6 + 0 + 0*q + 1/15*q**4. Factor n(y).
-(y - 1)*(y + 2)*(3*y - 2)/5
Let t be (-2)/5*(-5)/3. Let w be 2/11 + (-38)/(-33). Factor 2/3*k**2 - w*k**3 + t*k**4 + 0*k + 0.
2*k**2*(k - 1)**2/3
Let h(t) be the second derivative of 0*t**6 - 1/5*t**5 + 1/3*t**3 + 0*t**4 + 0 + 2*t + 1/21*t**7 + 0*t**2. Find x such that h(x) = 0.
-1, 0, 1
Determine f so that -4/7*f**2 + 0*f + 4/7 = 0.
-1, 1
Factor 1/6*k**2 + 1/3*k + 1/6.
(k + 1)**2/6
Let p = 0 - -3. Factor 6*x**4 - 2*x**2 + 2*x**5 - x - 6*x**2 - 14*x**4 + 12*x**3 + p*x.
2*x*(x - 1)**4
Let n(z) = z**2 - z - 4. Let l be n(3). Let p = 6/13 - 