002. Find u, given that i(u) = 0.
-59, -1, -1/2
Let o = 54 - 57. Let q(z) = -3*z**2 + 26*z - 2. Let l(p) = 3*p**2 - 24*p + 3. Let y(m) = o*q(m) - 2*l(m). Factor y(a).
3*a*(a - 10)
Suppose 992*u = 4*f + 978*u - 250, 0 = -5*f - u - 2. Let -1/7*x**f + 46/7*x**2 - 1152/7 - 480/7*x = 0. What is x?
-2, 24
Let n(z) = 12*z - 354. Let f be n(30). Suppose 13*q - 10*q - f*q = 0. Determine s so that 3/4*s**2 + 3/8*s**3 - 3/8*s**4 + 0*s + q = 0.
-1, 0, 2
Suppose -28*g = 1965 - 621. Let a be (1/(6/(-9)))/(24/g). Solve 0 - 3/2*z**3 + a*z - 3/2*z**2 = 0.
-2, 0, 1
Let i(n) be the first derivative of -5*n**7/42 - n**6/10 + n**5/10 - 54*n - 94. Let l(k) be the first derivative of i(k). Factor l(u).
-u**3*(u + 1)*(5*u - 2)
Let o(a) be the third derivative of -a**6/1620 + 2*a**5/135 + a**4/12 + 15*a**3/2 + 2*a**2 - 8. Let u(i) be the first derivative of o(i). What is s in u(s) = 0?
-1, 9
Let p(f) = -16*f**2 + 661*f - 2012. Let b be p(38). Find h, given that 2/7*h**b + 2/7*h**3 + 6/7 - 10/7*h = 0.
-3, 1
Let v(s) be the first derivative of -s**4/6 - 200*s**3/9 - 217*s**2 + 2895. Determine m, given that v(m) = 0.
-93, -7, 0
Let l(w) be the second derivative of w**5/4 - 715*w**4/2 + 204490*w**3 - 58484140*w**2 + 44*w + 16. Find r such that l(r) = 0.
286
Let z be (-40)/32*(387/(-135) - 3). Find r such that -8/3*r - 8/3*r**4 - z*r**3 + 0 + 2*r**5 + 32/3*r**2 = 0.
-2, 0, 1/3, 1, 2
Let v = 6888 - 6888. Let d(x) be the second derivative of -1/4*x**4 + v + 1/2*x**3 - 10*x + 0*x**2. Find a, given that d(a) = 0.
0, 1
Let v = -683 - -697. Let s be ((-3770)/175)/(-13) + 2/v. Find x such that 4/5*x**5 - s*x**3 + 0 + 2/5*x**2 + 3/5*x**4 + 0*x = 0.
-2, 0, 1/4, 1
Let o(p) be the third derivative of 19*p**5/20 - 7*p**4/4 - 24*p**3 + p**2 + 283. What is s in o(s) = 0?
-24/19, 2
Let j(s) be the first derivative of 0*s**2 + 0*s**3 - 68 + 3/2*s**4 + 0*s - 3*s**5. Factor j(h).
-3*h**3*(5*h - 2)
Let b(f) be the first derivative of 1/3*f**3 + 32 + 0*f**2 - 1/4*f**4 + 0*f. Solve b(w) = 0.
0, 1
Let a(b) = -b + 1. Let h(i) = -3*i + 8. Let l(c) = -4*a(c) + h(c). Let u be l(0). What is r in -10 + 20 + 6*r**u + 45*r**2 - 35*r - r**4 - 25*r**3 = 0?
1, 2
Let s(h) = 44*h**2 - 71*h + 280. Let z(r) = -70*r**2 + 106*r - 420. Let x(t) = -8*s(t) - 5*z(t). Factor x(p).
-2*(p - 14)*(p - 5)
Let a(o) be the third derivative of 61/20*o**5 + 5/4*o**4 + 9/70*o**7 + 12/5*o**6 - 5 + 0*o + 0*o**3 + 10*o**2. Determine p, given that a(p) = 0.
-10, -1/3, 0
Let h be (-9)/(21/(-7)) + (-2 - -1). Factor 103 + 28*b - 8*b**h - 4*b**3 - 59 - 60.
-4*(b - 1)**2*(b + 4)
Let m(a) be the second derivative of -a**5/70 + 5*a**4/3 - 1100*a**3/21 + 5000*a**2/7 + 2899*a. Factor m(s).
-2*(s - 50)*(s - 10)**2/7
Let g(r) = -11*r - 944. Let x be g(-86). Suppose o + z - 12 = 0, 2*o + 3*o - 4*z = 24. Solve -4*n - 1/2*n**x - o = 0 for n.
-4
Let s(a) be the second derivative of -a**6/144 + 5*a**5/48 - 5*a**4/8 - 29*a**3/2 + 5*a + 20. Let h(m) be the second derivative of s(m). Factor h(d).
-5*(d - 3)*(d - 2)/2
Let p(g) = g**3 - 3*g**2 - 2*g. Let q(l) = -l**4 + 4*l**3 + 168*l**2 + 5*l - 140. Let k(h) = 18*p(h) + 2*q(h). Find v such that k(v) = 0.
-7, -1, 1, 20
Suppose 57 = 10*d + 9*d. Suppose -4*o + 5 + 3 = -d*q, -2*o + 4 = -q. Solve 0 - 4/5*g**3 + q*g - 2/5*g**2 - 2/5*g**4 = 0 for g.
-1, 0
Let q = 103 + -78. Let x be (6 - (-26)/(-4)) + q/2. Factor -f**3 + 5*f**3 + 14*f**4 + 2*f**2 - x*f**4 + 0*f**3.
2*f**2*(f + 1)**2
Solve -3430*o**5 - 2260*o + 49 - 20520*o**3 - 10200*o**2 - 15660*o**4 - 113 - 124 + 3106*o**5 = 0.
-47, -1/3
Let r be (1 - 88/90)/(16/192). Let f(d) be the third derivative of -1/12*d**4 + 1/150*d**5 + 0*d + r*d**3 + 18*d**2 + 0. Factor f(o).
2*(o - 4)*(o - 1)/5
Let i(j) be the third derivative of 0 + 1/70*j**7 + 0*j + 1/10*j**6 - 220*j**2 + 1/4*j**4 + 1/4*j**5 + 0*j**3. What is a in i(a) = 0?
-2, -1, 0
Factor -830*x - 2400*x**2 + 123*x**3 - 50*x - 94*x**4 + 9680 + 97*x**3 + 89*x**4.
-5*(x - 22)**2*(x - 2)*(x + 2)
Let d(l) be the first derivative of 10*l**2 - 5/4*l**4 - 1/4*l**5 + 10*l + 18 + 0*l**3. Let y(n) be the first derivative of d(n). Factor y(r).
-5*(r - 1)*(r + 2)**2
Let h(w) = w**3 - 14*w**2 + 35*w - 22. Let j be h(11). Let s be j - (1 - (-35)/(-20)). Let 3/4*n + 3/4 - 3/2*n**2 - 3/2*n**3 + s*n**4 + 3/4*n**5 = 0. What is n?
-1, 1
Let c(u) = 8*u**2 - 60*u - 42. Let i(k) = k**2 - 4*k. Let x(v) = -c(v) + 10*i(v). What is g in x(g) = 0?
-7, -3
Let y(w) = -w**3 + 5*w**2 + 23*w - 15. Let x be y(6). Solve x*r**3 + 69790 - 23*r**3 - 69790 - 6*r**4 + 22*r**2 = 0.
-1/3, 0, 11
Let h(p) be the second derivative of -p**7/21 + 2*p**6/5 + 7*p**5/10 + 7*p - 419. Factor h(m).
-2*m**3*(m - 7)*(m + 1)
Let s(h) = -h**3 - 4*h**2 - h. Let p be s(-4). Determine l so that 13*l**2 - 18*l**3 - 5*l**p + 11*l - 6*l + 17*l - 4*l - 8 = 0.
-4, -1, 2/5, 1
Let p(j) be the first derivative of j**3/3 + 117*j**2/2 - 1134*j - 3526. Suppose p(u) = 0. What is u?
-126, 9
Let a(g) = 53*g**2 - 1451*g + 103. Let o(f) = -52*f**2 + 1459*f - 101. Let c(l) = -4*a(l) - 5*o(l). Factor c(i).
3*(i - 31)*(16*i - 1)
Factor -93/4*l**2 + 19/2*l - 5/4*l**3 + 0.
-l*(l + 19)*(5*l - 2)/4
Let u(y) = 481*y - 53. Let v be u(9). Factor -5*w**3 + 4276*w - v*w + 40*w**2.
-5*w**2*(w - 8)
Let a(u) = 31*u**2 - 602*u - 13002. Let y(t) = -68*t**2 + 1324*t + 28608. Let b(c) = -24*a(c) - 11*y(c). Factor b(p).
4*(p - 44)*(p + 15)
Let o(k) = k**3 - 2*k**2 + k + 6. Let d = 469 - 467. Let q(t) = t**2 - t + 3. Let r(j) = d*o(j) - 4*q(j). Solve r(f) = 0.
0, 1, 3
Let m(u) be the first derivative of -u**3/9 - 152*u**2 - 69312*u - 824. Solve m(i) = 0 for i.
-456
Let f(a) be the third derivative of a**6/300 - 7*a**5/150 - a**4/60 + 7*a**3/15 - 2*a**2 - 80*a. Factor f(v).
2*(v - 7)*(v - 1)*(v + 1)/5
Let g(a) be the first derivative of -6*a**4/7 - 23*a**3/7 - 39*a**2/14 + 6*a/7 - 2519. Factor g(i).
-3*(i + 1)*(i + 2)*(8*i - 1)/7
Let r be (-2)/((2/(-28))/(5/20)). Suppose -17*k = -60*k - r*k. Factor 0 - 10/9*w**3 + k*w + 0*w**2 + 2/9*w**5 + 8/9*w**4.
2*w**3*(w - 1)*(w + 5)/9
Let s(v) be the second derivative of -867/2*v**3 - 82*v - 14739/2*v**2 - 3/20*v**5 + 0 - 51/4*v**4. Solve s(c) = 0 for c.
-17
Factor 831805/6*s**3 + 2197/6*s**5 + 42250/3*s**4 + 1444/3 + 185995/3*s**2 + 28310/3*s.
(s + 19)**2*(13*s + 2)**3/6
Let y be 0/2 - -5 - 7684/119. Let c = y - -60. Determine i so that c*i**2 + 0 + 3/7*i = 0.
-1, 0
Let g(i) be the third derivative of 0*i**4 + 1 + 0*i**3 + 0*i - 2/105*i**6 - 1/35*i**5 - 2/735*i**7 - 126*i**2. Factor g(c).
-4*c**2*(c + 1)*(c + 3)/7
Let k(p) = -436*p - 65833. Let y be k(-151). Suppose -1/3*v**y + 1/3*v**5 - v**4 + 0*v + 0 + v**2 = 0. Calculate v.
-1, 0, 1, 3
Let o(s) be the first derivative of -4*s**6/3 - 20*s**5 - 71*s**4 - 100*s**3 - 54*s**2 - 1129. Find n such that o(n) = 0.
-9, -3/2, -1, 0
Let i = -425631/7 + 60805. Factor 16/7 + i*m**2 + 16/7*m.
4*(m + 2)**2/7
Let b = -12634/19 + 88476/133. Suppose -b*r**2 - 50/7 + 52/7*r = 0. What is r?
1, 25
Let x(s) be the second derivative of s**5/4 + 215*s**4/4 - 5*s**3/6 - 645*s**2/2 + 8296*s. Solve x(c) = 0 for c.
-129, -1, 1
Let b(i) be the first derivative of i**4 - 40*i**3/3 - 112*i**2 - 852. Factor b(d).
4*d*(d - 14)*(d + 4)
Suppose -381 = y - 6*y + c, y - 79 = 3*c. Let z = y - 55. Factor 283*a**5 - 286*a**5 - 54*a**3 - 9*a - 15*a - 60*a**2 - z*a**4.
-3*a*(a + 1)*(a + 2)**3
Let j(r) be the first derivative of 172 - 35/3*r**2 - 29/6*r**4 - 98/3*r + 74/3*r**3 + 4/15*r**5. Determine z, given that j(z) = 0.
-1/2, 1, 7
Let u(c) be the first derivative of -c**6/2340 + c**5/390 + c**4/52 + 53*c**3/3 + 3. Let i(z) be the third derivative of u(z). Factor i(g).
-2*(g - 3)*(g + 1)/13
Let j(w) = 4*w + 38. Let n be j(16). Let g = -100 + n. Suppose -6*h**2 + 30*h + 0*h**g + h**2 = 0. Calculate h.
0, 6
Let o(r) be the second derivative of 16*r**6/225 - 17*r**5/50 - 3*r**4/2 - 53*r**3/45 + r**2 + 5*r + 402. Let o(k) = 0. What is k?
-1, 3/16, 5
Determine t so that -294/5*t**4 - 72 + 33*t**5 + 2292/5*t - 1254/5*t**2 - 2493/5*t**3 = 0.
-2, 2/11, 3/5, 5
Let v(n) be the second derivative of n**5/30 + 7*n**4/9 + 49*n**3/9 + 12*n**2 + 954*n. Factor v(w).
2*(w + 1)*(w + 4)*(w + 9)/3
Let b(z) be the first derivative of 4*z**4/9 + 986*z**3/27 + 7502*z**2/9 - 1922*z/3 - 293. Factor b(t).
2*(t + 31)**2*(8*t - 3)/9
Let z be -5*884/(-1200) + 2/5. Let n(i) 