et u be v(-20). Let p = u - 342. Solve -1/4*m**4 + 5/4*m + 3/4*m**p + 1/2 - 1/4*m**3 = 0.
-1, 2
Let o be (-9)/(26/270 + (-2)/15). What is l in -o - 16*l + 2*l**3 + 450 - 231 + 10*l**2 = 0?
-6, -1, 2
Let v be -1*2/(-20) + (-240)/(-1200). Let k(o) be the second derivative of 1/10*o**4 + 0*o**2 + v*o**3 + 0 + 9*o. Factor k(s).
3*s*(2*s + 3)/5
Let -36327 + 37627 - 453*s + 5*s**2 + 168*s = 0. What is s?
5, 52
Suppose 3*r + 32 = 5*r. Suppose -4*b + 90 = 4*m + 10, -m + r = 2*b. Factor -3 + 15 + m*l + 4*l**2 + 5*l**2.
3*(l + 2)*(3*l + 2)
Suppose 6616 - 460 = -9*t. Let c be (t/(-189) - 3) + 2/(-6). Factor c*f**2 + 0*f - 4/7*f**5 + 0*f**3 + 0 - 6/7*f**4.
-2*f**2*(f + 1)**2*(2*f - 1)/7
Let r = -658 + 49351/75. Let z(y) be the second derivative of r*y**6 + 0*y**2 + 0 - 1/10*y**4 - 4*y + 0*y**5 + 2/15*y**3. Let z(x) = 0. Calculate x.
-2, 0, 1
Let j(o) = 10*o + 2. Let q be j(6). Let p be (-18)/216 + q/168. Factor -p*k**5 + 64/7 + 20/7*k**4 - 80/7*k**3 - 160/7*k + 160/7*k**2.
-2*(k - 2)**5/7
Let z(w) be the first derivative of 0*w**3 + 6 + 1/3*w**4 - 2*w**2 + 7*w. Let a(t) be the first derivative of z(t). What is q in a(q) = 0?
-1, 1
Let l be (0 - 4) + 1 + 52152/10824. Let o(x) be the first derivative of 2/33*x**3 + 7/11*x**2 + l*x + 15. Determine d so that o(d) = 0.
-5, -2
Factor -2/3*c**3 - 2913698/3 - 1610*c**2 - 972842*c.
-2*(c + 1)*(c + 1207)**2/3
Suppose 0 = -5*g - 7 + 27. Find s such that 2*s**3 + 4*s**2 - 11*s**3 + 5*s**g - s**4 + s**3 = 0.
0, 1
Let f(k) be the third derivative of -k**2 - 1/20*k**5 + 7/4*k**4 + 0*k**3 - 38*k + 0. Factor f(x).
-3*x*(x - 14)
Let c = 502 - 789. Let n = -1429/5 - c. Factor 3/5*x**2 - 3/5*x - n.
3*(x - 2)*(x + 1)/5
Let l = 1/1786 + 16069/8930. Factor 0 - l*h + 3/5*h**2.
3*h*(h - 3)/5
Let p(f) be the second derivative of f**2 + 2/15*f**4 + f + 10 + 7/5*f**3. Find o such that p(o) = 0.
-5, -1/4
Let n(j) be the first derivative of 2*j**3/9 + 17*j**2/3 - 12*j + 413. Factor n(u).
2*(u - 1)*(u + 18)/3
Let v(y) be the first derivative of -3*y**5/10 + 45*y**4/2 - 58*y**3 - 112. Factor v(h).
-3*h**2*(h - 58)*(h - 2)/2
Suppose 812*f - 367 = 1257. Find d, given that 2/11*d**4 + 8/11*d**3 - 8/11*d**f - 2/11*d**5 + 0*d + 0 = 0.
-2, 0, 1, 2
Factor u**3 - 2*u**3 - 2*u**3 - u**3 + 2912*u**2 - 244*u**2.
-4*u**2*(u - 667)
Let u(y) be the first derivative of -2*y**6/3 - 12*y**5/5 - y**4 + 4*y**3 + 4*y**2 + 5087. Find g, given that u(g) = 0.
-2, -1, 0, 1
Suppose 0 = 3*t + 3*m - 1497, 4*t = 8*t - m - 1996. Let -544*p**3 - 5*p**4 - 148*p + t*p**3 + 688*p = 0. What is p?
-6, 0, 3
Let z = 21135 - 21130. Let q(w) be the first derivative of 39 + 5/2*w**2 - z*w**3 + 15*w - 5/4*w**4. Factor q(g).
-5*(g - 1)*(g + 1)*(g + 3)
Let f(b) be the first derivative of 0*b - 4/15*b**5 - 186 - 1/4*b**4 + 10/9*b**3 + 1/18*b**6 + 4/3*b**2. Find r, given that f(r) = 0.
-1, 0, 2, 4
Let u(d) be the third derivative of 0 + 0*d**3 + 11/60*d**6 + 45*d**2 - 1/72*d**8 + 0*d - 1/35*d**7 - 11/90*d**5 - 1/6*d**4. Solve u(f) = 0.
-3, -2/7, 0, 1
Suppose 1280 - 832/3*r + 3578*r**3 - 100/3*r**5 - 2630/3*r**4 - 11012/3*r**2 = 0. Calculate r.
-30, -1/2, 1, 8/5
Suppose 4*z + 16 = -4*t - 0*t, -2*t - 2 = -4*z. Let b(j) = j**3 - 7*j**2 - 26*j - 9. Let d(r) = 8*r**2 + 28*r + 8. Let l(h) = t*d(h) - 4*b(h). Factor l(m).
-4*(m - 3)*(m + 1)**2
Factor -57/5 - 63/5*k**2 + 3/5*k**3 + 117/5*k.
3*(k - 19)*(k - 1)**2/5
Let c(m) be the first derivative of 136 + 4*m**2 + m**3 + 4*m - 1/5*m**5 - 1/2*m**4. Find j such that c(j) = 0.
-2, -1, 2
Find v, given that -810*v**3 - 5/2*v**5 + 0*v + 0*v**2 + 0 - 90*v**4 = 0.
-18, 0
Let c(a) be the third derivative of -1/60*a**5 + 1/336*a**8 - 1/120*a**6 + 2 + 0*a - 126*a**2 + 1/210*a**7 + 0*a**4 + 0*a**3. Factor c(n).
n**2*(n - 1)*(n + 1)**2
Let o be 625/(-2500) + ((-2)/(-8))/(4/(77 - 1)). Suppose -3/2 - 4/3*f**2 - o*f = 0. What is f?
-3, -3/8
Let r(k) be the first derivative of -k**3 - 282*k**2 - 26508*k + 449. Factor r(y).
-3*(y + 94)**2
Let q(d) be the first derivative of d**6/240 + d**5/60 - 21*d**2/2 + 3*d - 32. Let v(u) be the second derivative of q(u). Let v(i) = 0. Calculate i.
-2, 0
Let f(x) be the first derivative of -x**3/12 - 23*x**2/8 - 21*x/2 + 1093. Determine v so that f(v) = 0.
-21, -2
Factor -14/5*q - 24/5 + 1/5*q**3 + 11/5*q**2.
(q - 2)*(q + 1)*(q + 12)/5
Let n(l) = -2*l**2 + 490*l - 722. Let q(h) = -h**2 + 233*h - 362. Let o(f) = -6*n(f) + 15*q(f). Factor o(j).
-3*(j - 183)*(j - 2)
Let j(n) be the first derivative of -4*n**3/21 + 42*n**2 + 1192*n/7 + 871. Factor j(a).
-4*(a - 149)*(a + 2)/7
Let h(g) = 17*g**2 - 65*g + 56. Let p(m) = -31*m**2 + 131*m - 111. Let i(y) = -7*h(y) - 4*p(y). Factor i(c).
(c - 13)*(5*c - 4)
Let c(u) be the third derivative of -2/3*u**3 + 1/28*u**4 + 0 - 6*u - 8*u**2 + 1/105*u**5. Factor c(k).
2*(k - 2)*(2*k + 7)/7
Let o(r) be the second derivative of 4*r - 1/6*r**3 + 1/20*r**5 + 19 - 1/9*r**2 - 1/54*r**4 + 2/135*r**6. Find x, given that o(x) = 0.
-2, -1, -1/4, 1
Let s(f) = f**3 + 17*f**2 - 86*f - 38. Let a be s(-21). Let l be (-1)/a*(-4 - 4)*1. Factor -28/15*u - 12/5*u**3 + 2/5 + 16/5*u**l + 2/3*u**4.
2*(u - 1)**3*(5*u - 3)/15
Let d(f) be the second derivative of -f**4/6 + 70*f**3 + 211*f**2 + 52*f - 7. Find b, given that d(b) = 0.
-1, 211
Let r(o) be the third derivative of 3/4*o**5 + 0*o - 57*o**2 - 1/42*o**7 + 0*o**4 + 0*o**3 + 0*o**6 - 2. Factor r(y).
-5*y**2*(y - 3)*(y + 3)
Let z = -5205 - -5221. Let f(w) be the third derivative of -1/210*w**5 + 1/14*w**4 - 3/7*w**3 + 0 + 0*w + z*w**2. Let f(g) = 0. What is g?
3
Let r(y) be the third derivative of 11*y**5/90 + 7*y**4/4 - 74*y**3/9 - 3758*y**2. Let r(p) = 0. What is p?
-74/11, 1
Let g = -8 + 19. Let l = 371 + -357. Factor -g*y**2 - 40*y - 18 - 2*y**3 - 5*y**2 - l.
-2*(y + 2)**2*(y + 4)
Suppose -4 + 0 = -2*j. Let z = -577 - -579. Determine t, given that 8*t - 28*t**2 + 18*t**j + 10 + 8*t**z = 0.
-1, 5
Let n(h) be the second derivative of h**7/105 + 34*h**6/15 + 289*h**5/2 + 10419*h. Find u such that n(u) = 0.
-85, 0
Let g(f) be the first derivative of -23 + 1/8*f**2 - 1/4*f - 1/16*f**4 + 1/12*f**3. Factor g(x).
-(x - 1)**2*(x + 1)/4
Let j be (2 + -5)/((-6)/(-8 - -14)). Let g(h) be the first derivative of 8*h - 18 + 6*h**2 + 4/3*h**j. Solve g(s) = 0 for s.
-2, -1
Let s(w) be the third derivative of -w**7/126 + 11*w**6/144 + w**5/8 - 2*w**4 + w**2 - 9. Let f(o) be the second derivative of s(o). Let f(c) = 0. Calculate c.
-1/4, 3
Suppose 6*d - 6 - 18 = 0. Suppose 0 = 2*g - d. Factor 8*i**g - 10*i**2 - i**2 + 3*i.
-3*i*(i - 1)
Let g(l) be the third derivative of l**6/120 - 17*l**5/30 + 31*l**4/24 + 11*l**3 - 2*l**2 + 187*l. What is o in g(o) = 0?
-1, 2, 33
Let x(y) be the first derivative of -y**3/3 - y**2 + 2*y - 24. Let g be x(0). Solve -4*a**2 + 0*a**g - 44 + 50 - a - a**3 = 0 for a.
-3, -2, 1
Let q(d) be the second derivative of -1/20*d**5 + 0*d**3 - 19/12*d**4 + 0*d**2 + 0 + 82*d. Factor q(p).
-p**2*(p + 19)
Let a(v) be the second derivative of -4*v**7/7 - 46*v**6/15 - 33*v**5/5 - 7*v**4 - 10*v**3/3 + 142*v - 8. Factor a(n).
-4*n*(n + 1)**3*(6*n + 5)
Let r(y) = -171*y**2 - 93 - 5*y - 5*y + 0*y + 172*y**2 + 0*y. Let m be r(-6). Solve -6/7*a - 2*a**m - 24/7*a**2 + 4/7 = 0.
-1, 2/7
Let n be (-1904)/119 + (-172)/(-3). Suppose -n*p + 40 + 4/3*p**2 = 0. What is p?
1, 30
Let 11*l**5 - 15*l**5 + 60*l**3 + 12*l**4 + 5*l**2 + 23*l**3 - 280*l - 17*l**2 + 201*l**3 = 0. Calculate l.
-7, -1, 0, 1, 10
Suppose 4127*w - 1535*w - 911*w**2 - 70*w**3 - 193*w**2 - w**4 - 48*w**2 = 0. Calculate w.
-36, 0, 2
Let s(m) be the first derivative of -m**4/28 - 33*m**3/7 - 3267*m**2/14 - 72*m + 99. Let f(j) be the first derivative of s(j). Determine k so that f(k) = 0.
-33
Let l = 7244/1135 + 4/227. Let b(d) = -d**3 + 19*d**2 + 68*d + 556. Let v be b(23). What is r in 24/5*r**3 + 4/5*r**v - 36/5 + l*r**2 - 24/5*r = 0?
-3, -1, 1
Let y(w) = w**3 + 51*w**2 - 106*w + 42. Let m be y(-53). Suppose -81*t - m = -95*t. Find s such that 8/7*s**t - 18/7*s**2 + 0 + 4/7*s = 0.
0, 1/4, 2
Let j(f) = -19*f**3 + 221*f**2 + 3815*f - 4071. Let r(o) = 10*o**3 - 110*o**2 - 1905*o + 2035. Let b(t) = 5*j(t) + 9*r(t). Let b(d) = 0. Calculate d.
-12, 1, 34
Let j be ((-72)/(-80))/(4/78*(-1)/(-12)). Solve -79/5*l**3 - 2197/5 - 4901/5*l - 2/5*l**4 - j*l**2 = 0 for l.
-13, -1/2
Let s = -281 + 296. Let s*n + 3*n**