for k.
-1, 4
Suppose -5 + 1 = y. Let r be y*3/(-4) + -1. Suppose -4*k - 2 + 5*k**r + 2 + 2*k = 0. Calculate k.
0, 2/5
Factor 58*q**2 - 12 - 17*q**2 - 8*q - 37*q**2.
4*(q - 3)*(q + 1)
Let k = 21074 - 85009/4. Let w = 179 + k. Let -3/8*x**2 - 3/8*x + w = 0. Calculate x.
-2, 1
Let w(g) = g**3 + 2*g**2 - 2*g - 2. Let o be w(0). Let v be o/(-6)*-3 + 26/6. Suppose 4/3 + 8/3*n**2 + 2/3*n**3 + v*n = 0. Calculate n.
-2, -1
Let i(x) be the first derivative of x**4/22 + 28*x**3/33 + 48*x**2/11 + 177. Determine l so that i(l) = 0.
-8, -6, 0
Let r = 26 + -28. Let x be r/4 + (-285)/(-38). What is h in 8*h**3 - 8*h**2 + 4*h**5 - 4 - 4*h - x*h - h + 12*h**4 = 0?
-1, 1
Suppose 14*o = 13*o + 27. Let d be 3/((-405)/(-51)) - (-6)/o. Determine s, given that 0*s**2 + 0 + 3/5*s**3 - d*s = 0.
-1, 0, 1
Let q(i) be the third derivative of i**5/300 + 2*i**4/15 + 32*i**3/15 + 52*i**2 - 2. Factor q(k).
(k + 8)**2/5
Let i = 1641 + -1641. Let x(g) be the second derivative of i*g**2 + 1/2*g**3 - 1/4*g**4 + 0 + 5*g. Factor x(r).
-3*r*(r - 1)
Suppose -7*b + 50 = 22. Let u(q) be the third derivative of -7/24*q**b - 2/15*q**5 + 0*q - 1/40*q**6 + 0 - 4*q**2 - 1/3*q**3. Find j, given that u(j) = 0.
-1, -2/3
Let h be (-6)/4*31/((-651)/56). Let i(g) be the first derivative of 0*g**3 + 0*g + 0*g**2 + h - 1/2*g**4 + 1/5*g**5. Factor i(j).
j**3*(j - 2)
Suppose 3*u + 105 = -5*a, 2*a - 26 = 4*a - 2*u. Let w be 2 + 5 + -9 - a/8. Find c, given that 1/4 + 0*c - w*c**2 = 0.
-1, 1
Suppose -85*y + 380 = 10*y. Let -y*j - 1/3*j**2 - 12 = 0. What is j?
-6
Let i(l) = l**3 - 9*l**2 - 10*l + 2. Let m be i(10). Suppose -120*p = -126*p. Determine k so that 3/7*k**4 + 9/7*k**3 + p + 9/7*k**m + 3/7*k = 0.
-1, 0
Let v be (-8 + 427/56)*(-8)/1. Let k(b) be the first derivative of 6*b - 14*b**v + 7/2*b**6 - 9/2*b**2 + 36/5*b**5 - 2 - 3*b**4. Solve k(z) = 0.
-1, 2/7, 1
Suppose -5*s - 11*u + 28 = -9*u, 0 = s - 5*u + 16. Determine y, given that 3/2*y - 3/2*y**3 + 0 + 3/2*y**s - 3/2*y**2 = 0.
-1, 0, 1
Let p = 220 - 376. Let g = p - -627/4. Factor 0 - 3/2*q + g*q**2.
3*q*(q - 2)/4
Let c = 7189/5 - 14373/10. Factor 0 + c*z**5 + 0*z - 1/2*z**3 - z**4 + z**2.
z**2*(z - 2)*(z - 1)*(z + 1)/2
Let x(h) be the first derivative of -31 - 27/25*h**5 + 12/5*h**4 - 14/5*h**3 - 3/5*h + 9/5*h**2 + 1/5*h**6. Factor x(s).
3*(s - 1)**4*(2*s - 1)/5
Let a be (0/(1 + -4))/2. Factor -4*u**2 - 5*u + 0*u - 3*u - 4 + a*u.
-4*(u + 1)**2
Let p = 27 + -54. Let a be (-32)/(-6)*(3 - p/(-10)). Factor -a*r - 2/5 - 6/5*r**2.
-2*(r + 1)*(3*r + 1)/5
Factor 5*g**2 - 5*g + 25*g**3 + 15*g**4 + 5486 - 5486.
5*g*(g + 1)**2*(3*g - 1)
Solve 13/7 + 1/7*t**2 + 2*t = 0 for t.
-13, -1
Let v(j) be the first derivative of -5*j**6/57 + 8*j**5/95 + 11*j**4/38 + 4*j**3/57 + 261. What is b in v(b) = 0?
-1, -1/5, 0, 2
Let n(q) = -37. Let v(l) = 13. Let p(m) = -6*n(m) - 17*v(m). Let h(t) = 4*t**2 + 4*t - 7. Let w = 0 - -1. Let f(b) = w*h(b) - p(b). Solve f(a) = 0.
-2, 1
Let o be (-2300)/1800 + (-12)/(-8). Factor 0 - 2/9*a**5 + 4/9*a**4 + o*a - 4/9*a**2 + 0*a**3.
-2*a*(a - 1)**3*(a + 1)/9
Let c(k) be the third derivative of -k**8/112 - 11*k**7/70 - 9*k**6/8 - 81*k**5/20 - 27*k**4/4 + 257*k**2. Factor c(o).
-3*o*(o + 2)*(o + 3)**3
Let m(h) be the third derivative of h**8/84 - 8*h**7/105 + h**6/10 + 4*h**5/15 - 2*h**4/3 - 66*h**2 + h. Determine z so that m(z) = 0.
-1, 0, 1, 2
Let o(q) be the third derivative of -q**8/84 + 4*q**7/105 + 2*q**6/45 - 4*q**3/3 + 2*q**2. Let u(l) be the first derivative of o(l). Factor u(p).
-4*p**2*(p - 2)*(5*p + 2)
Find z, given that 18*z**4 - 113*z**2 - 23*z**2 - 11*z**3 - 73*z**3 - 48*z = 0.
-2/3, 0, 6
Let x(y) = 2*y - 1. Let u be x(3). Suppose p - 10 = u. Solve -16*d - 51*d**2 + 45*d + p*d**3 - 5 + 19*d - 7 = 0 for d.
2/5, 1, 2
Let m(k) be the first derivative of 5*k**3/3 - 101. Factor m(b).
5*b**2
Let p(m) be the second derivative of 0 + 1/17*m**2 - 1/51*m**3 - 1/102*m**4 + 1/170*m**5 + 13*m. Factor p(a).
2*(a - 1)**2*(a + 1)/17
Let s(o) be the third derivative of 0 + 0*o + 1/2*o**3 + 14*o**2 - 3/8*o**4 - 1/40*o**6 + 3/20*o**5. Suppose s(u) = 0. Calculate u.
1
Suppose 14 = 4*b - 6. Suppose 7 - 3 = -v, -5*v = b*m - 45. Find u such that -3*u**3 + m - 3*u**2 + 3*u - 9 - 1 = 0.
-1, 1
Let b(a) = -12*a + 52. Let h be b(5). Let o be 57/9 + 3 + h. Let 8/3 + 4/3*i - o*i**2 = 0. Calculate i.
-1, 2
Let i(h) = -37*h**2 - 44*h + 80. Let q(v) = 6*v**2 + 2. Let p(f) = -i(f) - 6*q(f). Factor p(y).
(y - 2)*(y + 46)
Let s(x) = x**3 + 22*x**2 + 21*x + 3. Let u be s(-21). Let n(d) be the first derivative of 18/11*d + 5 + 2/33*d**u + 6/11*d**2. Factor n(v).
2*(v + 3)**2/11
Factor 22/7*d - 2/7 - 20/7*d**2.
-2*(d - 1)*(10*d - 1)/7
Solve 2/7*x**5 + 2/7*x**3 - 16/7 + 8/7*x**4 - 4*x**2 - 40/7*x = 0.
-2, -1, 2
Suppose 0 = 6*m - 9*m + 12. Let l be -3 + 7/(7/m). Factor -8 - l + 5 + w**2 + 3.
(w - 1)*(w + 1)
Let g be -16 + 45 - 4/(-2). Let f = g + -29. Suppose 1/4*x**f + 1/4*x + 0 - 1/4*x**4 - 1/4*x**3 = 0. Calculate x.
-1, 0, 1
Let q(l) be the second derivative of 0*l**3 - 6*l + 0 - 1/18*l**4 + 1/30*l**5 + 0*l**2 + 1/45*l**6 - 1/63*l**7. Let q(t) = 0. What is t?
-1, 0, 1
What is t in 3/2*t - 9 + 21/2*t**2 - 3/2*t**4 - 3/2*t**3 = 0?
-3, -1, 1, 2
Let u(a) = 6*a**4 + 13*a**3 - 5*a**2. Let v(t) = 3*t**4 + 7*t**3 - 2*t**2. Let z(m) = 2*u(m) - 5*v(m). Factor z(f).
-3*f**3*(f + 3)
Let h(d) = 3*d**3 - 89*d**2 - 28*d - 58. Let o be h(30). Factor -392/3 - 2/3*z**o - 56/3*z.
-2*(z + 14)**2/3
Let w(j) be the second derivative of 0 + 1/54*j**4 + 4/9*j**2 - 4*j - 4/27*j**3. Factor w(l).
2*(l - 2)**2/9
Suppose 1352 = -6*c - 2*c. Let j = -166 - c. Solve 0*z**2 + 6/5*z - 2/5*z**j + 4/5 = 0 for z.
-1, 2
Suppose 10*a - 125 = 5*a. Let h = a + -18. Factor 4*g**4 + h*g**2 + 2 + 5*g**2 - 2*g**4 + 0 - 8*g - 8*g**3.
2*(g - 1)**4
Let n(d) = -2*d**3 + d**3 - 69*d**2 - 66*d**2 - 9*d + 128*d**2 + 5. Let m be n(-5). Factor 2/3*b**2 + 10/3*b**3 + m + 0*b + 2*b**5 + 14/3*b**4.
2*b**2*(b + 1)**2*(3*b + 1)/3
Let o(l) be the second derivative of l**4/42 + 2*l**3/7 + 105*l. Factor o(c).
2*c*(c + 6)/7
Let b be 9/(-6)*(28/3 - -4). Let c be 4/((-7)/(105/b)). Solve 16/11*o + 2/11*o**c - 10/11*o**2 - 8/11 = 0.
1, 2
Let j(c) = c**3 - 12*c**2 + 8*c + 14. Let p be j(11). Let y = -17 - p. Factor -1 + h - 3 + 5*h + 0 - y*h**2.
-2*(h - 2)*(h - 1)
Factor -8*i + 1/5*i**2 + 80.
(i - 20)**2/5
Let f be 248/434*((-9)/(-12) - 0). Suppose 0*p = 4*p - 16. Let -f*y**p + 0*y + 3/7*y**2 - 3/7*y**3 + 3/7*y**5 + 0 = 0. What is y?
-1, 0, 1
Let s(h) be the third derivative of h**8/4032 + h**7/504 + h**5/20 + 14*h**2. Let j(w) be the third derivative of s(w). Suppose j(u) = 0. Calculate u.
-2, 0
Let t(k) be the first derivative of -k**6/540 - k**5/180 - 6*k**3 + 3. Let j(x) be the third derivative of t(x). Factor j(p).
-2*p*(p + 1)/3
Let t be (-3 + 3)/(2 + -3). Let g be 2 + -2*(t + -1). Suppose 2*h**3 + 4*h - 2*h**2 - 2 + 2*h - g*h**2 = 0. What is h?
1
Let b(c) be the second derivative of -c**5/20 - 8*c**4/3 - 95*c**3/2 - 225*c**2 - 39*c + 2. Factor b(z).
-(z + 2)*(z + 15)**2
Let y(t) be the first derivative of t**4/9 - 4*t**3/9 + 262. Factor y(u).
4*u**2*(u - 3)/9
Let r(d) be the second derivative of d**4/48 + 9*d**3/8 - 7*d**2/2 + 14*d + 9. Factor r(s).
(s - 1)*(s + 28)/4
Factor 3*c**5 - 6*c**2 + 3 - 30*c**3 - 9*c**4 - 2 + 27*c + 14.
3*(c - 5)*(c - 1)*(c + 1)**3
Let z = -4877/3 + 24403/15. Factor 1/5*u**3 + 7/5*u**2 + z*u + 0.
u*(u + 1)*(u + 6)/5
Let z be (-4 - (-1496)/385)*21/(-2). Factor -w + 1/5*w**2 + z.
(w - 3)*(w - 2)/5
Let j be 5*(-4)/(-20) - (-2 + 1). Let s(h) be the second derivative of -1/50*h**5 + 1/30*h**4 - 1/5*h**j - 3*h + 0 + 1/15*h**3. Suppose s(x) = 0. Calculate x.
-1, 1
Let n(y) = 18*y. Let i be n(2). Let l = 60 - i. Solve -7 - l*s - 4 - 1 + 15*s**2 = 0.
-2/5, 2
Factor -5*m**3 + 0*m**3 - 8 - 23*m + 27*m + 8*m**2 + m**3.
-4*(m - 2)*(m - 1)*(m + 1)
Let z = 117/136 - 15/136. Let c(f) be the second derivative of -3/20*f**5 + 6*f**2 + 0 - z*f**4 - 5*f + 0*f**3. Factor c(a).
-3*(a - 1)*(a + 2)**2
Let x be -371 - -376 - (-6)/(-4)*2. Suppose 8/13*h**3 + 10/13*h**x + 0 + 4/13*h + 2/13*h**4 = 0. Calculate h.
-2, -1, 0
Let k(s) be the first derivative of 3*s**5/20 + 21*s**4/16 + s**3 - 9*s**2/2 - 53. Factor k(q).
3*q*(q - 1)*(q + 2)*(q + 6)/4
Suppose -3*d = 3*d - 114. Determine x so that -24*x**4 + 22*x**4 + 35*