/(-100). Let g(v) be the second derivative of -1/4*v**2 + 1/24*v**4 + 3/8*v**3 - 23*v + 0 - c*v**5. Determine r so that g(r) = 0.
-1, 2/9, 1
Let a = 18259/7 - 2605. Let i(o) be the first derivative of a*o**3 + 3/14*o**4 + 0*o + 108/7*o**2 - 18. Factor i(b).
6*b*(b + 6)**2/7
Let n be 2/(1*-2) + -47 + 51. Factor 57 + 6*m**2 + 52 + 6*m**3 - n*m - 3*m**5 - 168 - 3*m**4 + 56.
-3*(m - 1)**2*(m + 1)**3
Let n be 129/216075*134 - ((-1069)/75 + -1). Suppose -n*i + 2/3*i**2 + 0 = 0. What is i?
0, 23
Suppose 2*w = -3*y + 3*w - 200, -305 = 5*y + 4*w. Let u = y - -69. Factor 22 + 147*l**u - 367*l**3 - 137*l**3 + 264*l**2 + 26 + 288*l.
3*(l - 2)**2*(7*l + 2)**2
Let s(j) be the third derivative of 1/210*j**7 + 13*j**2 + j + 13/24*j**4 - j**3 - 1/120*j**6 + 0 - 7/60*j**5. Find x such that s(x) = 0.
-3, 1, 2
Factor 1681*x + 4*x**3 - 483*x - 193*x**2 + 2112 + 418*x + 481*x**2.
4*(x + 2)*(x + 4)*(x + 66)
Let -82*p - 2328*p + 1215 - 190*p**4 - 3252*p**2 + 12*p**5 - 1748*p + 88*p**4 - 165*p**4 + 1842*p**3 = 0. Calculate p.
-1, 1/4, 5, 9
Let k(u) = u**3 - 16*u**2 - 6. Let p be k(16). Let l(t) = -t**2 + 61*t + 404. Let n be l(p). Suppose 3 + 391/3*c**n + 289/3*c**3 + 37*c = 0. Calculate c.
-1, -3/17
Suppose -x - 5*g - 11 = 0, -5*x - 2*g = -4 - 10. Suppose -4*m = 2*d - 22, -d + x*m = -4*d + 25. Let -d + 3*j**2 - 5 + 2*j**2 + 3 = 0. What is j?
-1, 1
Let c be (-4 - (-168)/35)/((-3024)/(-5400)). Suppose c*t**2 - 8/7*t**3 + 18/7 + 36/7*t = 0. What is t?
-1, -3/4, 3
Suppose 0 = -29*x - 19722 + 89. Let y = x + 682. Let 1/2*h**y - 1/2*h**2 + 0 + 0*h + 1/2*h**4 - 1/2*h**3 = 0. Calculate h.
-1, 0, 1
Suppose -14*r + 151 = -129. Factor -13213 + 5*m**4 - r*m**3 + 20*m**2 + 13213.
5*m**2*(m - 2)**2
Find h, given that 0 - 145*h**2 - 5*h**4 + 4190123*h**3 - 4189973*h**3 + 0 = 0.
0, 1, 29
Let w(p) be the third derivative of -27*p**6/32 - 51*p**5/16 + 1225*p**4/96 - 125*p**3/8 + 2*p**2 - 1263. Factor w(s).
-5*(s + 3)*(9*s - 5)**2/4
Determine n, given that -1/5*n**2 + 91 - 58/5*n = 0.
-65, 7
Suppose -x = -q + 8, -8*x - 13 = 4*q - 3*x. Let j(n) be the second derivative of -24/7*n**2 - 1/28*n**4 - 4/7*n**q + 0 - 4*n. Find u such that j(u) = 0.
-4
Solve 6/7*o**3 + 148/7*o**2 + 0 + 96/7*o - 2/7*o**5 - 48/7*o**4 = 0 for o.
-24, -1, 0, 2
Suppose -35*x + 4 = -33*x + m, 5*m + 19 = 3*x. Let q(u) be the first derivative of 27 - 10/27*u**x - 2/3*u + 7/9*u**2 + 1/18*u**4. Factor q(n).
2*(n - 3)*(n - 1)**2/9
Determine a, given that 10010 + 290*a**2 + 8453 - 1136*a - 2*a**3 - 17335 = 0.
2, 141
Factor 1/5*l**4 + 387*l**2 + 405*l - 89/5*l**3 + 0.
l*(l - 45)**2*(l + 1)/5
Determine q, given that 814/3*q**2 - 1220/9*q - 4/9*q**3 + 0 = 0.
0, 1/2, 610
Let i(z) = z**3 - 12*z**2 + z - 10. Let m be i(12). Suppose 4*c**m + 12*c + 0 + 4 + 4 = 0. What is c?
-2, -1
Let s be 1/((-27)/90*(-2)/(-6)). Let v(c) = 3760*c**2 + 580*c + 24. Let l(j) = 1253*j**2 + 194*j + 8. Let h(f) = s*l(f) + 3*v(f). Factor h(q).
-2*(25*q + 2)**2
Factor 0*m - 55/2*m**4 - 10*m**2 - 60*m**3 + 0.
-5*m**2*(m + 2)*(11*m + 2)/2
Let m(a) be the second derivative of -a**7/42 + a**5/2 + 5*a**4/3 + 5*a**3/2 + 2*a**2 - 704*a. Factor m(y).
-(y - 4)*(y + 1)**4
Let y(m) be the second derivative of m**5/50 + 7*m**4/30 - 17*m**3/15 + 9*m**2/5 + 7935*m. Let y(s) = 0. What is s?
-9, 1
Let m(i) be the third derivative of i**7/280 - 7*i**6/96 - 109*i**5/120 + 5*i**4/3 - 187*i**2. Suppose m(o) = 0. What is o?
-5, 0, 2/3, 16
Suppose 0 = -5*i - 3 + 788. Factor 4*w**3 + 210*w**2 - 147*w**2 - i*w**2 - 6*w**3.
-2*w**2*(w + 47)
Let v(z) = -2*z**2 - 16*z + 3. Suppose -200*u + 191*u = -126. Let y(m) = -5*m**2 - 36*m + 7. Let k(r) = u*v(r) - 6*y(r). Determine a, given that k(a) = 0.
0, 4
Let m(w) be the second derivative of -w**4/30 + 38*w**3/15 + 16*w**2 - 930*w. Let m(p) = 0. Calculate p.
-2, 40
Let c = -18 + 768. What is s in -14*s**2 - c - 70*s**2 - 4*s**3 - 229*s - 311*s - 222 = 0?
-9, -3
Let s(w) = w**3 - 8*w**2 + 25*w - 44. Let b be s(2). Let x be ((-7)/21)/(2/b). Factor 0 + 3/5*d**2 - 3/5*d**x + 1/5*d**4 - 1/5*d.
d*(d - 1)**3/5
Factor -1/3*g**3 - 33*g**2 - 416/3 + 172*g.
-(g - 4)*(g - 1)*(g + 104)/3
Let f be 4/(-32) - (-17)/8. Suppose -4*m**2 - m**3 - 3*m - 3*m**f + m**2 + 6 - m**3 + 5*m**3 = 0. What is m?
-1, 1, 2
Let f = 279 - 277. Factor 97*y - 44 - 12*y**3 - 197*y - 51*y**f - 17*y**2.
-4*(y + 1)**2*(3*y + 11)
Let l(n) = -98*n**5 - 214*n**4 + 34*n**3 + 348*n**2 - 82*n - 2. Let s(q) = -q**5 + 2*q**4 - 3*q + 1. Let j(b) = -2*l(b) + 28*s(b). Let j(y) = 0. Calculate y.
-2, -1/6, 2/7, 1
Suppose -5*x - 78 = -4*r, 0 = -r + 3*x + 180 - 150. Let h(o) be the first derivative of 18 - r*o + 4/3*o**3 - 4*o**2. Determine w so that h(w) = 0.
-1, 3
Let 2/17*o**3 + 0 + 2284/17*o + 2286/17*o**2 = 0. What is o?
-1142, -1, 0
Let a(q) be the first derivative of 16*q**5/5 + 35*q**4 - 436*q**3/3 - 214*q**2 + 132*q + 6532. Determine m so that a(m) = 0.
-11, -1, 1/4, 3
Suppose -28*l - 5*n = -12 - 124, 4*n - 70 = -3*l. Determine i, given that 0 + 2*i**3 - 2/3*i**4 + 8/3*i**l + 0*i = 0.
-1, 0, 4
Let q be (3 - (-104)/(-16)) + 0. Let t = 4 + q. Factor -t*p**2 - 1/2*p + 0.
-p*(p + 1)/2
Let o(u) be the third derivative of -u**5/24 - 35*u**4/16 + 30*u**3 - 8*u**2 + 34. What is j in o(j) = 0?
-24, 3
Let h(w) be the first derivative of 5*w**4/12 - 60*w**3 - 365*w**2/2 - 550*w/3 + 4472. Suppose h(d) = 0. Calculate d.
-1, 110
Let w(c) = c**2 - 19*c + 3. Suppose 0 = 6*g - 95 - 19. Let o be w(g). Factor -15/4*v - 3/4*v**3 + o*v**2 + 3/2.
-3*(v - 2)*(v - 1)**2/4
Let y(j) be the third derivative of -j**5/390 + 7*j**4/12 - 1938*j**2. Factor y(w).
-2*w*(w - 91)/13
Let v be 2/(-10) + (-193545)/(-11475). What is i in v*i**2 + 5/3*i**3 - 50/3 - 5/3*i = 0?
-10, -1, 1
Let f(w) be the third derivative of -9*w**7/140 - 109*w**6/480 - 7*w**5/30 - w**4/96 + 4838*w**2. Determine r, given that f(r) = 0.
-1, -1/54, 0
Let b(l) = 2*l + 33. Let t be b(-15). Let n be 2/(-3 - (-11)/t). Factor 21*d**2 + 7*d**3 + 2 + 9*d + 10*d**n + 2*d + 5*d**4.
(d + 1)**3*(5*d + 2)
Factor -6/7*o**2 - 24516/7*o - 25043094/7.
-6*(o + 2043)**2/7
Let g be (-9)/21 + (-792)/14. Let m = -48 - g. Factor -11*r**3 + 11*r**3 - 12*r**4 + 3*r**2 - m*r**3.
-3*r**2*(r + 1)*(4*r - 1)
Factor -692/9*x - 680/9*x**2 + 4/9*x**3 + 152.
4*(x - 171)*(x - 1)*(x + 2)/9
Let p(l) = l**4 - l**3 + l**2 - l + 1. Suppose 32*m = 7*m + 25. Let i(u) = -7*u**4 + 3*u**3 - u**2 + 9*u - 10. Let z(k) = m*i(k) + 6*p(k). Factor z(d).
-(d - 1)**2*(d + 1)*(d + 4)
Let x = 21414/11 + -1948. Let r = 64/33 + x. Factor 0 + 1/3*o**3 - o - r*o**2.
o*(o - 3)*(o + 1)/3
Let f(b) be the first derivative of b**6/660 - b**5/165 + b**4/132 - 9*b**2/2 - 2*b - 57. Let r(h) be the second derivative of f(h). Factor r(j).
2*j*(j - 1)**2/11
Let y(q) be the third derivative of q**5/135 - 101*q**4/27 - 406*q**3/27 + 2*q**2 + 31*q - 6. Factor y(b).
4*(b - 203)*(b + 1)/9
Factor -1648/7 + 828/7*h**2 + 4/7*h**3 + 816/7*h.
4*(h - 1)*(h + 2)*(h + 206)/7
What is a in 1/2*a**2 - 5/2*a + 0 = 0?
0, 5
Let r(l) be the first derivative of l**7/28 + 3*l**6/20 + 3*l**5/40 - 3*l**4/8 - l**3/2 - 39*l - 57. Let c(a) be the first derivative of r(a). Solve c(k) = 0.
-2, -1, 0, 1
Let d(y) = y**2 + 7*y + 10. Let v(w) = -3*w**2 - 21*w - 29. Let u = -428 - -432. Let z(k) = u*v(k) + 11*d(k). Let z(j) = 0. What is j?
-6, -1
Factor 2/7*h**3 + 152/7*h**2 - 900/7 + 138/7*h.
2*(h - 2)*(h + 3)*(h + 75)/7
Let j(u) be the third derivative of 0*u**3 - 40*u**2 + 1/90*u**6 + 0*u**4 - 2/45*u**5 - 1/1008*u**8 + 1/315*u**7 + 0*u + 0. Factor j(f).
-f**2*(f - 2)**2*(f + 2)/3
Suppose 0 = d - y - 3*y - 16, -d + 1 = y. Factor l**4 + 2*l**d + 44*l + 3*l**3 - 44*l.
3*l**3*(l + 1)
Suppose 2319*r = 2347*r - 84. Factor 8/9*q**2 - 2/9*q**4 + 0 - 8/9*q + 2/9*q**r.
-2*q*(q - 2)*(q - 1)*(q + 2)/9
Let 2/11*q**5 - 36/11*q**3 - 32/11*q**2 + 32/11*q**4 + 0 + 34/11*q = 0. Calculate q.
-17, -1, 0, 1
Factor -261/5 + 183/5*l - 7*l**2 + 1/5*l**3.
(l - 29)*(l - 3)**2/5
Let a(k) be the third derivative of -k**8/48 - 17*k**7/70 - 14*k**6/15 - 7*k**5/5 - 2*k**4/3 - k**2 + 808. Find p, given that a(p) = 0.
-4, -2, -1, -2/7, 0
Let i(p) be the second derivative of p**9/5544 + p**8/3080 + 2*p**3 + 2*p**2 - 3*p. Let t(u) be the second derivative of i(u). Factor t(l).
6*l**4*(l + 1)/11
Let y(p) = p**4 - p**3 - p**2 - 2. Let k(l) = 8*l**4 + 36*l**3 + 226*l**2 + 