so that h(v) = 0.
-1, 46
Let j(k) = k**3 - 4*k**2 - 3*k + 6. Let p(q) = q**3 - q**2. Suppose 2*b + 1 = 23. Let y = b - 12. Let o(h) = y*j(h) - 2*p(h). Factor o(d).
-3*(d - 2)*(d - 1)*(d + 1)
Let h(n) be the third derivative of n**6/10 - 49*n**5/15 + 61*n**4/6 - 10*n**3 - 142*n**2. Suppose h(j) = 0. Calculate j.
1/3, 1, 15
Suppose -7*h = -196 + 175. Let m be (-14)/h*6/32 + 1. Suppose -m*q**2 + 0*q + 1/8 = 0. Calculate q.
-1, 1
Let d(q) be the third derivative of -1/30*q**5 - 7/720*q**6 + 0 + 1/36*q**4 + 0*q + q**2 + 0*q**3. Factor d(l).
-l*(l + 2)*(7*l - 2)/6
Let h = -16 - -19. Suppose 3*v - 3 = 5*a, -4*a + 2 = v + v. Factor 3*s**2 + a*s**2 - h - 1 + s**3.
(s - 1)*(s + 2)**2
Let v(y) be the second derivative of -y**5/30 + y**4/9 - 8*y - 2. Find r such that v(r) = 0.
0, 2
Let x(t) be the first derivative of 2*t**3/3 + 21*t**2 + 108*t - 61. Determine s so that x(s) = 0.
-18, -3
Let t(x) be the second derivative of x**7/378 - x**6/135 - 7*x**5/180 - x**4/27 + 10*x - 13. Factor t(m).
m**2*(m - 4)*(m + 1)**2/9
Let s be ((-40)/(-4) + 3)*-1. Let l = s + 16. Factor 5*x**2 + 12 - l*x**2 + 12*x + x**2.
3*(x + 2)**2
Suppose 8/3 + 0*v - 2/3*v**3 - 2*v**2 = 0. Calculate v.
-2, 1
Let x(p) be the third derivative of p**8/1008 - 2*p**7/315 + p**6/60 - p**5/45 + p**4/72 + 82*p**2. Find y, given that x(y) = 0.
0, 1
Let u(l) be the second derivative of l**4/84 - 59*l**3/42 + 29*l**2/7 + 17*l + 2. Determine m, given that u(m) = 0.
1, 58
Solve 4/3 - 2/9*y**2 + 2/9*y = 0.
-2, 3
Suppose 0 - 3/2*d**2 - 1/4*d**4 + 0*d + 5/4*d**3 = 0. What is d?
0, 2, 3
Let l(n) be the second derivative of n**7/1120 - n**6/240 - n**5/160 + n**4/16 + 16*n**3/3 - 13*n. Let o(z) be the second derivative of l(z). Factor o(m).
3*(m - 2)*(m - 1)*(m + 1)/4
Let q(t) be the second derivative of t**6/30 - 21*t**5/20 + 5*t**4/4 + 97*t**3/6 + 30*t**2 + t + 266. Factor q(k).
(k - 20)*(k - 3)*(k + 1)**2
Let u(m) be the first derivative of -8/15*m**3 - 15 - 1/10*m**4 - m**2 - 4/5*m. Suppose u(b) = 0. What is b?
-2, -1
Factor -16/9*w + 2/3*w**3 + 2/9*w**4 + 0 - 4/3*w**2.
2*w*(w - 2)*(w + 1)*(w + 4)/9
Suppose -5*s = z - 6, -6*z = -2*s - 2*z + 20. Solve -24*n**s - 5*n - 35*n - 32*n - 2*n**3 = 0.
-6, 0
Let m(j) = 26*j**4 - 120*j**3 - 2400*j**2 - 16000*j + 14. Let i(c) = 11*c**4 - 60*c**3 - 1200*c**2 - 8000*c + 6. Let g(b) = -14*i(b) + 6*m(b). Solve g(p) = 0.
-20, 0
Let q = -64 + 133. Factor 68*x**4 + 0*x**2 + x**2 - q*x**4.
-x**2*(x - 1)*(x + 1)
Let f(c) = -c**3 + 11*c**2 - 8*c - 16. Let g be f(10). Factor s**2 + 2*s**3 + 3*s - 3*s**4 - 5*s**3 - 2 + 4*s**g.
(s - 2)*(s - 1)**2*(s + 1)
Let o(m) be the first derivative of -m**7/21 + 3*m**5/5 + 4*m**4/3 + m**3 - 32*m + 2. Let r(n) be the first derivative of o(n). Let r(g) = 0. What is g?
-1, 0, 3
Let l = -12 - -14. Suppose l*a - 7*a = -10. Factor 4*k - 5*k**a + 2*k**2 + 7*k**2 + 10*k**2.
2*k*(7*k + 2)
Suppose -4*d + 95 = -0*p + 5*p, -d = 5*p - 80. Suppose 1 = -7*q + p. Determine u, given that -1/2*u - 1/2*u**5 + u**q + u**3 - 1/2*u**4 - 1/2 = 0.
-1, 1
Suppose 7 = y + 2*w, 2*y + 10 = 4*y + 2*w. Let l(h) be the first derivative of 2/5*h**y - 12/5*h - 6 - 7/5*h**2. Factor l(p).
2*(p - 3)*(3*p + 2)/5
Let g be 36/5 + (-2)/10. Let r = g - 5. Suppose 7*w**4 + r*w**4 - 2*w**2 - 7*w**4 = 0. Calculate w.
-1, 0, 1
Find c, given that -24/11*c + 0*c**2 - 32/11 + 2/11*c**3 = 0.
-2, 4
Let u be (4/13)/((-60)/(-390)). Let i(x) be the second derivative of 0 + 0*x**u + 3/10*x**5 - 2*x - 1/15*x**6 + 2/3*x**3 + 5/6*x**4 - 1/21*x**7. Factor i(a).
-2*a*(a - 2)*(a + 1)**3
Suppose 1 = -5*v + o, 3*o + 1 = 2*v + 4*o. Find n, given that -3*n**2 + n**4 + 34 + 2*n**3 + n**3 + v*n**3 - 11*n - 40 = 0.
-3, -1, 2
Let k(a) be the first derivative of a**7/490 - a**6/280 - a**5/35 + a**4/14 + 15*a**2 - 47. Let v(p) be the second derivative of k(p). Factor v(r).
3*r*(r - 2)*(r - 1)*(r + 2)/7
Let x(z) = -z**3 + 5*z**2 + 16*z - 11. Let t be x(7). Find b such that 4 + 9*b**2 + 10*b + 1/2*b**4 + 7/2*b**t = 0.
-2, -1
Let v(d) = 111*d + 1001. Let h be v(-9). Factor 4/15*j - 2/15*j**h + 0.
-2*j*(j - 2)/15
Let n(c) be the third derivative of -c**10/7560 + c**9/1890 + 5*c**4/24 + 17*c**2. Let r(f) be the second derivative of n(f). Factor r(s).
-4*s**4*(s - 2)
Let y(m) be the first derivative of 18*m**5/5 + 57*m**4/4 - 26*m**3 - 57*m**2/2 + 60*m + 51. Let y(l) = 0. Calculate l.
-4, -1, 5/6, 1
Let b(n) be the first derivative of -5/36*n**6 - 5/12*n**4 + 0*n + 0*n**2 + 0*n**3 - 13 + 1/2*n**5. Let b(f) = 0. Calculate f.
0, 1, 2
Find b, given that -2*b**2 - 7*b**2 + 3147*b**3 - 3*b**5 + 9*b**4 - 1573*b**3 - 1571*b**3 = 0.
-1, 0, 1, 3
Let x(b) be the third derivative of 7*b**6/300 + 3*b**5/50 - 41*b**4/30 - 8*b**3/5 - 9*b**2 - b. Determine h, given that x(h) = 0.
-4, -2/7, 3
Let s be (435/(-66))/(-5) - 9*(-4)/198. Solve -3/4 - 3/4*n**2 + s*n = 0 for n.
1
Let u(s) = 6*s**3 - 36*s**2 + 11*s + 60. Let v(g) = 3*g**3 - 18*g**2 + 5*g + 30. Let d(c) = -4*u(c) + 7*v(c). Find k such that d(k) = 0.
-1, 2, 5
Let -14/3 - 20/9*j - 2/9*j**2 = 0. Calculate j.
-7, -3
Let j be 2/(16/20)*31/620. Let u(s) be the second derivative of -20*s**2 + 0 + 10*s**3 + j*s**5 - 15/8*s**4 + 8*s. Factor u(q).
5*(q - 4)**2*(q - 1)/2
Let s(f) = 4*f**2 + 6*f + 2. Let y(x) = -9*x**2 - 13*x - 4. Let n(w) = -3*w + 10. Let r be n(4). Let u(t) = r*y(t) - 5*s(t). Let u(p) = 0. Calculate p.
-1
Suppose -9*g**2 - 28 + 10*g - 7*g**2 + g + 15*g**2 = 0. What is g?
4, 7
Let y = 89299/5 - 18014. Let x = y + 155. Determine j so that 0 - x*j**2 + 2/5*j**5 + 0*j - 6/5*j**3 + 0*j**4 = 0.
-1, 0, 2
Let r(a) = 3*a - 17. Let n = -13 - -20. Let f be r(n). Solve 1/2*q**3 + 2*q + 0 - 5/2*q**5 + 6*q**2 - 6*q**f = 0 for q.
-2, -1, -2/5, 0, 1
Factor 2*g**5 - 48*g**2 + g**3 + 36*g**2 - 15*g**3.
2*g**2*(g - 3)*(g + 1)*(g + 2)
Let b(r) be the first derivative of -2*r**3/21 + 86*r**2/7 - 3698*r/7 + 150. Suppose b(z) = 0. Calculate z.
43
Let v(h) be the third derivative of h**10/12096 - h**9/1512 + h**8/896 + h**4/4 - 13*h**2. Let l(c) be the second derivative of v(c). Let l(d) = 0. What is d?
0, 1, 3
Find n such that 2*n**2 - 87 - 4 + 40*n - 125 + 3*n**2 + 51 = 0.
-11, 3
Determine g so that -70/3*g - 5*g**2 - 40/3 + 5/3*g**4 + 20/3*g**3 = 0.
-4, -1, 2
Let j = -9 - -5. Let q be j/10 - (-153)/45. Suppose -4*t**q + t**3 - 31*t + 24 - 5*t + 18*t**2 = 0. Calculate t.
2
Suppose -8*w + 312 = -0*w. Let s(a) = -4 - a**3 - 2*a**3 - 2*a + 3*a. Let u(i) = 19*i**3 - 5*i + 25. Let f(z) = w*s(z) + 6*u(z). Let f(x) = 0. Calculate x.
-2, 1
What is l in 9*l**2 + 56*l + 14 + 28*l**2 + 18 + l**4 + 10*l**3 - l**2 = 0?
-4, -2
Let s(w) be the first derivative of 0*w + 6*w - 34*w**2 + 6 + 34*w**2 - 5*w**3. Let h(r) = -r**2 - r - 1. Let y(m) = -3*h(m) + s(m). Factor y(z).
-3*(z - 1)*(4*z + 3)
Let a(z) = 217*z + 220. Let o be a(-1). Let 6/5*w - 6/5*w**o + 4/5 - 2/5*w**4 - 2/5*w**2 = 0. What is w?
-2, -1, 1
Let o = 1/4072 - -16285/12216. Solve -o*r**4 + 8/3*r**5 - 4/3 + 8/3*r + 8/3*r**2 - 16/3*r**3 = 0.
-1, 1/2, 1
Suppose 0 = 5*z - 2*m - 16, 949*z - 10 = 946*z + m. Let l = -1 - -1. Factor 0 + l*y - y**3 + 1/2*y**z + 1/2*y**2.
y**2*(y - 1)**2/2
Let i(n) = -4*n**2 + 22*n - 121. Let s(p) = 11*p**2 + 8*p**2 - 18*p**2. Let w(x) = -2*i(x) - 6*s(x). Factor w(u).
2*(u - 11)**2
Let h = 53 + 23. Let n = 230/3 - h. Suppose 2/3*o**3 - 2/3*o**5 + 2/3*o**4 + 0 + 0*o - n*o**2 = 0. What is o?
-1, 0, 1
Find p, given that -195/2*p**3 - 48*p**2 + 0*p - 3/2*p**5 + 0 - 51*p**4 = 0.
-32, -1, 0
Let o(k) be the first derivative of -2*k**5/55 - k**4/22 + 2*k**3/11 + k**2/11 - 4*k/11 - 65. Solve o(t) = 0 for t.
-2, -1, 1
Let y(o) = -27*o - 10. Let r be (-1)/((-4)/(-16)*1). Let b be y(r). Suppose 100*q + 3*q**4 - q**4 + 2*q**3 + 5*q**3 + 7*q**2 - b*q = 0. What is q?
-2, -1, -1/2, 0
Let k = 72 + -59. Find t, given that k*t**4 - 14*t**4 + 6*t**3 - t**2 - 4*t**3 = 0.
0, 1
Let h be (27/(-36))/(2/392). Let z = h - -737/5. Factor z*j - 1/5*j**2 - 1/5.
-(j - 1)**2/5
Suppose -3*n + 31 - 19 = 0. Suppose -6*m + 8 = -2*m. Let 0 + 1/2*l**m - 1/3*l + 7/6*l**n + 2*l**3 = 0. What is l?
-1, 0, 2/7
Let r(t) be the second derivative of -t**8/7560 + t**7/945 - t**6/405 - 7*t**3 - 48*t. Let h(i) be the second derivative of r(i). Suppose h(l) = 0. Calculate l.
0, 2
Let j = -788 - -3942/5. Solve 2/5*a**3 + j*a**2 - 4/5*a + 0 = 0.
-2, 0, 1
Let q(d)