-2, -1, 0, 6
Let q(x) be the third derivative of 0*x + 406/15*x**5 - 6076/9*x**4 + 252*x**2 + 1/315*x**7 + 0 - 17/36*x**6 + 21952/9*x**3. Determine v so that q(v) = 0.
1, 28
Let z(u) be the second derivative of -u**8/1344 - u**7/240 - u**6/120 - u**5/240 - u**4/3 + 12*u + 2. Let c(m) be the third derivative of z(m). Solve c(y) = 0.
-1, -1/10
Let s = 657 - 629. Let g be (s/42)/((-4)/(-3) + -1). Factor -3/10*r**g + 0*r + 1/10*r**3 + 0.
r**2*(r - 3)/10
Let i be (4/24)/(2/10)*-15. Let r = -67/6 - i. Determine y so that 1/3*y**2 - 4/3*y - r + 1/3*y**3 = 0.
-2, -1, 2
Let j(o) be the third derivative of -o**5/60 - 1013*o**4/12 - 1026169*o**3/6 - 48*o**2 + 5. Solve j(z) = 0 for z.
-1013
Let j(l) be the third derivative of 1/3*l**6 - 10/9*l**3 - 31*l**2 + 0*l + 5/168*l**8 + 0 + 23/126*l**7 - 1/36*l**5 - 5/6*l**4. Suppose j(s) = 0. What is s?
-2, -1, -1/2, 2/3
Let d(q) be the first derivative of -q**5/35 - 23*q**4/28 - 170*q**3/21 - 200*q**2/7 + 8789. Determine n, given that d(n) = 0.
-10, -8, -5, 0
Let t(j) be the first derivative of -j**5/20 + 27*j**4/8 + j**3/4 - 41*j**2/2 + 27*j + 927. Factor t(i).
-(i - 54)*(i - 1)**2*(i + 2)/4
Factor -110*g**2 - 115/3*g**4 + 5/3 + 100/3*g + 340/3*g**3.
-5*(g - 1)**3*(23*g + 1)/3
Factor -8*z**3 + 35*z + 51*z**2 - 19*z**2 - 5*z + 10*z**3.
2*z*(z + 1)*(z + 15)
Let o be 0 + -16 - ((-27939)/1407 + 6/7). Determine v, given that -92/19*v**4 + 124/19*v**2 - 66/19*v + 72/19*v**o - 32/19 - 6/19*v**5 = 0.
-16, -1, -1/3, 1
Let o be (-544)/24*(-84)/80. What is m in -49/5*m**3 - 12/5 - o*m**2 + 16*m = 0?
-3, 2/7
Let p(t) = 21*t - 63. Let g be p(3). Let m(r) be the second derivative of -17*r - 1/9*r**3 + g - 1/6*r**2 - 1/36*r**4. Factor m(y).
-(y + 1)**2/3
Suppose 0 = -a - 3*n + 4*n - 2, -4*a + 37 = 5*n. Solve 2*j**3 - 20*j**a - 29*j**3 + 3*j**5 - 8*j**5 + 2*j**3 - 29*j**2 - 6*j - 27*j**4 = 0.
-3, -1, -2/5, 0
Suppose -2*z = -31 + 17. Suppose 2*o + 2 = 4*o - g, 2*g = 5*o - z. Determine b so that o*b**2 - 3*b**2 - 7*b**3 - 10 + 7*b + 8 + 2*b**2 = 0.
-1, 2/7, 1
Let o(d) be the first derivative of -d**3/6 - 18*d**2 - 648*d - 621. Let o(a) = 0. What is a?
-36
Suppose -2*s + 2173 = 3*n, -4*s + 3*s = 4*n - 2894. What is j in 1455*j**2 - 727*j**2 - n*j**2 + 15*j - 20 = 0?
-4, 1
Let z = -1606 - -1582. Let h be (-88)/z*(-12)/(-33). Factor 2/3*b**3 + h*b + 2*b**2 + 0.
2*b*(b + 1)*(b + 2)/3
Suppose -982*m + 927*m = 0. Let x(d) be the second derivative of 0*d**3 + 1/60*d**5 + m - 1/12*d**4 + 0*d**2 + 41*d. Suppose x(l) = 0. What is l?
0, 3
Determine z so that 9/4*z**5 - 971/4*z**3 - 32 + 351/2*z + 561/4*z**4 - 693/4*z**2 = 0.
-64, -1, 1/3, 2
Let z(f) be the second derivative of -f**4/6 - 10*f**3/3 + 144*f**2 - 152*f + 2. Factor z(v).
-2*(v - 8)*(v + 18)
Let k(p) be the first derivative of -2*p**3/3 - 100*p**2 - 198*p - 3467. Factor k(r).
-2*(r + 1)*(r + 99)
Let v(q) be the third derivative of 3/56*q**4 + 34*q**2 + 3/70*q**5 - 2/7*q**3 + 0 - 1/56*q**6 + 0*q. Factor v(w).
-3*(w - 1)**2*(5*w + 4)/7
Suppose 5*r + 2*l + 25 = -2*l, 0 = 2*l + 89 - 69. Factor -9/4 - 45/2*b**2 - 111/8*b - 27/8*b**r.
-3*(b + 6)*(3*b + 1)**2/8
Let x(q) = -q**3 - 69*q**2 + 240*q + 11902. Let m be x(-70). Let 30/7*k + 8/7 + k**m = 0. Calculate k.
-4, -2/7
Let f(v) = 9 - 35*v - 34*v - 37*v - 13*v. Let j be f(-2). Suppose -145*z**2 + 9*z**3 + j*z**2 + 27*z**4 - 12*z - 126*z**2 = 0. Calculate z.
-2/3, 0, 1
Let g = 97491 - 97489. Suppose -2/3*y**g - 2 - 8/3*y = 0. What is y?
-3, -1
Let c(p) = p**3 - 8*p**2 - p + 11. Let y be c(8). Factor -q**5 + 2*q + y*q**2 - 4*q**3 - 20*q**4 + 17*q**4 + 0*q**5 + 3*q**3.
-q*(q - 1)*(q + 1)**2*(q + 2)
Let c be (-2)/(-4) + (-75)/6. Let u = c - -18. Determine m, given that 2*m - 15 + 4*m**2 - 4*m + u*m + 16 = 0.
-1/2
What is l in 66*l**2 - 23*l**2 - 22*l**2 + 7*l + 319 + 11*l - 22*l**2 = 0?
-11, 29
Let s be (228/(-1539))/((-8)/6). Let y(a) be the first derivative of 2/9*a - 1/18*a**4 - 2/27*a**3 + s*a**2 + 17. Let y(p) = 0. Calculate p.
-1, 1
Let g(t) = -2*t**3 - 109*t**2 - 259*t + 58. Let u be g(-52). Factor -u*i**2 + 2/7 + 8/7*i.
-2*(3*i - 1)*(7*i + 1)/7
Let j(b) be the first derivative of 4*b**5/45 + 95*b**4/12 + 4967*b**3/27 - 220*b**2 - 144*b - 1496. Find p such that j(p) = 0.
-36, -1/4, 1
Let j(x) = 2*x**2 - x - 3. Let t(h) = -14*h**2 - 6*h + 2. Let q(v) = 12*j(v) + 2*t(v). Determine r, given that q(r) = 0.
-4, -2
Let p = 3691/18 - 205. Let d(i) be the first derivative of -p*i**3 + 5/6*i**2 + 3 - 25/6*i. Let d(f) = 0. What is f?
5
Let f(l) = 39*l - 41. Let w be f(3). What is v in 92 + w - 120 - 2*v**4 + 40*v - 10*v**3 - 4*v**2 = 0?
-3, -2, 2
Let r(o) = -7570*o - 514760. Let t be r(-68). Factor 2/3*q**2 + t - 74/3*q.
2*q*(q - 37)/3
Let a(u) be the first derivative of -25/9*u**2 + 150 + 16/3*u + 2/27*u**3. Suppose a(r) = 0. What is r?
1, 24
Suppose -24*j - 123 = -171. Factor -4/9*u**3 + 0 - 4/3*u - 4/9*u**4 + 20/9*u**j.
-4*u*(u - 1)**2*(u + 3)/9
Factor -1/4*y**2 + 243/4 - 9/2*y.
-(y - 9)*(y + 27)/4
Let d(r) be the first derivative of -2*r**5/45 + 17*r**4/9 - 248*r**3/27 + 40*r**2/3 + 5886. Suppose d(z) = 0. Calculate z.
0, 2, 30
Let 38/11*v**3 + 144/11 - 8/11*v**4 + 4*v**2 - 2/11*v**5 - 216/11*v = 0. Calculate v.
-6, -3, 1, 2
Let u(b) = -208*b + 30 - 47*b**3 + 40*b - 68*b**3 - 32*b + 270*b**2. Let g(x) = 2*x**3 - 2*x - 1. Let l(f) = 10*g(f) - u(f). Determine d so that l(d) = 0.
2/3
Let r(o) = o + 12. Let b be r(-10). Suppose b*a + 0*a - 6 = 0. Factor 0 + 5*d**2 - 8*d + 6 + 2 - 4 - d**a.
-(d - 2)**2*(d - 1)
Let l(o) be the third derivative of -o**9/21600 - 13*o**8/50400 + o**7/6300 + 8*o**5/15 + 101*o**2. Let h(z) be the third derivative of l(z). Factor h(f).
-2*f*(f + 2)*(7*f - 1)/5
Let y(l) be the third derivative of l**7/1470 + 341*l**6/840 + 9633*l**5/140 - 9747*l**4/56 + 7*l**2 + 77. Solve y(p) = 0 for p.
-171, 0, 1
Let y(h) be the second derivative of -13*h**4/12 - 323*h**3/6 + 25*h**2 - 22*h - 31. Let y(a) = 0. Calculate a.
-25, 2/13
Let s(v) be the first derivative of -5*v**4/4 - 400*v**3 - 48000*v**2 - 2560000*v - 1115. Find w such that s(w) = 0.
-80
Let r = 20 - -151. Suppose 2*y**2 - 7*y + 830 + 2383 + 163*y - r = 0. Calculate y.
-39
Factor -3/4*l**2 - 120 - 39/2*l.
-3*(l + 10)*(l + 16)/4
Let p be (-2534)/543 + (-7)/((-14)/12). Let a = 106 + -316/3. Find z such that a*z**2 - 2*z + p = 0.
1, 2
Let p(v) be the second derivative of -v**6/180 - v**5/24 + v**4/6 + 19*v**3/9 + 20*v**2/3 + 7*v + 5. Factor p(x).
-(x - 4)*(x + 2)**2*(x + 5)/6
Suppose 11*p + 763 = 807. Let c(d) be the first derivative of 9*d**p + 6*d - 11 + 1/3*d**6 + 13*d**2 + 44/3*d**3 + 14/5*d**5. Solve c(v) = 0 for v.
-3, -1
Let y(o) = 2*o**5 - o**4 - 2*o**3 - 2*o**2 - o + 1. Let g(h) = -6*h**5 + 14*h**4 + 12*h**3 - 8*h**2 + 4*h - 4. Let d(j) = g(j) + 4*y(j). Factor d(m).
2*m**2*(m - 1)*(m + 2)*(m + 4)
Let w be (-6)/(-5)*(-2 + (-451)/(-123)). Let p be (4 - 7) + 1 - -8. Find d such that 45/4*d - 9/4*d**3 - 3 - p*d**w = 0.
-4, 1/3, 1
Let g = -1494 + 1499. Suppose -35 = -5*f + g*j, -3*f + 3 + 2 = j. Factor n**f - 1/2*n**2 + 2*n**5 + 0*n + 7/2*n**4 + 0.
n**2*(n + 1)**2*(4*n - 1)/2
Let q(o) be the first derivative of o**4/26 - 18*o**3/13 - 4*o**2/13 + 216*o/13 + 355. Determine k so that q(k) = 0.
-2, 2, 27
Let d(k) be the first derivative of 5*k**3/6 + 115*k**2/4 - 435*k - 5843. Factor d(m).
5*(m - 6)*(m + 29)/2
Let x be ((-138)/4)/((-21)/(-28)). Let z = x + 122. Find b such that 18 + 150*b**3 + 5*b**5 + 143*b**2 + 163*b**2 + 165*b + 27 - z*b**2 + 45*b**4 = 0.
-3, -1
Let z(q) = -11*q**5 - 30*q**4 + 63*q**3 - 61*q**2 - 13. Let s(m) = -5*m**5 - 15*m**4 + 32*m**3 - 30*m**2 - 6. Let c(k) = -13*s(k) + 6*z(k). Factor c(w).
-w**2*(w - 12)*(w - 2)*(w - 1)
Solve -619*i - 8/5*i**4 + 6186/5*i**2 + 516/5 - 4116/5*i**3 = 0.
-516, 1/2
Solve -759*s**2 - 975/2*s**3 - 129*s**4 - 21/2*s**5 - 474*s - 84 = 0 for s.
-7, -2, -1, -2/7
Let v(a) = 2*a**2 + 20*a + 20. Let n be v(-9). Solve 32*s**3 + 18*s**3 - 4*s**n - 46*s**3 = 0.
0, 1
Let p(t) = t**3 - 2*t**2 + t - 1. Let w(l) = -l**3 - 308*l**2 + 619*l - 314. Let u(m) = 4*p(m) - w(m). Determine o, given that u(o) = 0.
-62, 1
Let w(o) be the first derivative of -1/4*o**5 + 1/6*o**3 - 3/8*o**4 + 37 + 7/8*o**2 + 3/4*o - 1/24*o**6. Factor w(r).
-(r - 1)*(r + 1)**3*(r + 3)/4
Let n = 59 + -81. Let b = n - -27. Solve -120*k**3 + 2*k**5 + 129*k**b - 