 = -97/62 - -5587/1550. Let w = l + -281/150. Solve -25/6*g**3 + 8/3*g**4 + w + 19/6*g**2 - 7/6*g - 2/3*g**5 = 0 for g.
1/2, 1
Let t be (-2 - 2)/(-56 + 54). Factor -1/4*p**t - p - 1.
-(p + 2)**2/4
Suppose 4*h + 502 = 534. Suppose -h*q = 2*y - 6*q + 2, -9 = 3*q. Let 6/19*t**y - 8/19 + 2/19*t**4 - 8/19*t**3 + 8/19*t = 0. What is t?
-1, 1, 2
Let u(y) be the third derivative of -88*y**2 + 8/3*y**3 - 17/30*y**5 + 3/2*y**4 + 0*y - 1 + 1/20*y**6. Factor u(x).
2*(x - 4)*(x - 2)*(3*x + 1)
Find h such that 16/19*h - 34/19*h**3 + 28/19*h**2 - 10/19*h**4 + 0 = 0.
-4, -2/5, 0, 1
Let 19072*r**4 + 1786/3*r + 0 + 64/3*r**5 + 5954*r**2 + 57172/3*r**3 = 0. What is r?
-893, -1/2, -1/4, 0
Let k(f) be the second derivative of -f**6/72 + 7*f**5/24 - 25*f**4/12 - 13*f**3/3 - 2*f**2 - f + 9. Let j(r) be the second derivative of k(r). Factor j(t).
-5*(t - 5)*(t - 2)
Let f(u) be the second derivative of -u**5/4 - 75*u**4/4 + 83*u - 4. Factor f(a).
-5*a**2*(a + 45)
Let b = -87541/4529 - -28/647. Let s = -131/7 - b. Find n such that -s + 2/7*n**2 + 2/7*n**4 + 6/7*n**3 - 6/7*n = 0.
-2, -1, 1
Let i(m) be the third derivative of -m**5/30 - 65*m**4/6 + 131*m**3/3 - 12*m**2 - 2. Let i(t) = 0. Calculate t.
-131, 1
Let p be (-37)/407 + (-6283)/(-22). Let w = p + -283. Suppose w*h**2 + 1/2*h**3 + 0 + 2*h = 0. What is h?
-4, -1, 0
Suppose -44*i + 61*i - 51 = 0. Let v = -5 + 5. Factor d**2 - 3*d + v*d - i*d**2 - d**2.
-3*d*(d + 1)
Let b(q) be the first derivative of 9/8*q**4 + 3*q**3 + 3*q**2 + 0*q + 3/20*q**5 - 62. Factor b(p).
3*p*(p + 2)**3/4
Suppose -12*k - 200 = -7*k. Let p be (-12)/42 + k/(-35). Factor -6/7*n**4 - 2/7*n**5 - 4/7*n**3 + 4/7*n**2 + p*n + 2/7.
-2*(n - 1)*(n + 1)**4/7
Suppose 11*f - 2 = 10*f. Factor 19*v + f*v**3 + 10*v**2 - 7 + 21 - 8 - 5*v.
2*(v + 1)**2*(v + 3)
Let o(w) be the third derivative of -w**5/45 + w**4/3 - 16*w**3/9 - 784*w**2. Let o(h) = 0. What is h?
2, 4
Suppose 26*p + 60 = 38*p. Let -9*c**4 + 2136 + p*c**4 - 84*c**3 - 2136 = 0. What is c?
-21, 0
Let q(z) be the first derivative of -z**6/2 - 3*z**5/5 + 39*z**4/2 - 6*z**3 - 459*z**2/2 + 405*z + 1088. What is h in q(h) = 0?
-5, -3, 1, 3
Factor 1480/3 + 2/3*c**2 + 494*c.
2*(c + 1)*(c + 740)/3
Solve 1/3*y**3 - 2004*y**2 + 4016016*y - 2682698688 = 0 for y.
2004
Let d(f) be the first derivative of -39 + 0*f + 25*f**4 - 224*f**3 + 288*f**2 - 4/5*f**5. Factor d(t).
-4*t*(t - 12)**2*(t - 1)
Let j(y) = -20 - 8*y - 33*y + 12*y - 6. Let b be j(-1). Factor 2/11*x**b - 10/11*x - 4/11 - 6/11*x**2 + 2/11*x**4.
2*(x - 2)*(x + 1)**3/11
Let d(n) = 2*n**3 + 4*n**2 - 4*n - 1. Let o(l) = 1976*l**2 - 1316*l + 3. Let z(w) = -6*d(w) - 2*o(w). Determine u so that z(u) = 0.
-332, 0, 2/3
Let m(g) be the second derivative of -7 - 10*g + 17/15*g**4 + 128/5*g**2 - 1/25*g**5 - 32/3*g**3. Solve m(b) = 0.
1, 8
Let s(t) = t**2 - 22*t + 74. Let u be s(18). Let y(b) = -b**3 - 6*b**2 + 8*b + 9. Let o be y(-7). Suppose 19*v**2 - 7*v**u - 10*v**o = 0. What is v?
0
Determine w so that 9*w - 11*w**2 + 80 - 5*w**5 + 59*w + 66*w - 40*w**4 - 95*w**3 - 29*w**2 - 34*w = 0.
-4, -2, -1, 1
Let k(y) = -96*y + 279*y + y**3 - 92*y - y**4 - 90*y - y**2. Let n(u) = -6*u**4 - u**3 - 16*u**2 - u. Let i(f) = 20*k(f) - 4*n(f). Factor i(w).
4*w*(w + 1)*(w + 2)*(w + 3)
Let i = 1082 + -1080. Let a(s) be the second derivative of -11*s - 1/20*s**4 - 9/5*s**i + 0 - 7/10*s**3. Suppose a(z) = 0. Calculate z.
-6, -1
Let x(y) be the third derivative of 0*y + 1/60*y**5 + 0*y**3 + 1/60*y**6 + 0 + 1/210*y**7 + 0*y**4 + 72*y**2. Suppose x(c) = 0. Calculate c.
-1, 0
Let b(y) be the second derivative of -280*y + 0 + 4*y**3 - 16*y**2 - 1/3*y**4. Let b(f) = 0. Calculate f.
2, 4
Suppose -35*l + 38*l = z + 4, -4*l - 3*z + 14 = 0. Factor 1/3*d**l - 23/3*d - 8.
(d - 24)*(d + 1)/3
Let b(s) be the first derivative of 5/3*s**3 + 0*s - 155/2*s**2 + 251. Find n such that b(n) = 0.
0, 31
Let k(o) be the third derivative of -o**8/3528 - 19*o**7/735 - 67*o**6/315 - 2*o**5/3 - 52*o**4/63 + 504*o**2. Determine m, given that k(m) = 0.
-52, -2, -1, 0
Let r(i) = 12*i**2 + 275*i + 9765. Let s(b) = 7*b**2 + 137*b + 4879. Let k(x) = 6*r(x) - 10*s(x). What is c in k(c) = 0?
-70
Let u(w) be the first derivative of -200*w + 167 + 25/3*w**3 - 245*w**2. Factor u(m).
5*(m - 20)*(5*m + 2)
Determine f so that 1/5*f**2 + 261/5*f + 52 = 0.
-260, -1
Let m(t) be the first derivative of 4*t**3/21 + 52*t**2 - 2220*t/7 + 7288. Factor m(g).
4*(g - 3)*(g + 185)/7
Let d(l) be the second derivative of l**5/10 - 85*l**4/6 + 429*l**3 - 5427*l**2 - 3355*l. Factor d(s).
2*(s - 67)*(s - 9)**2
Let t = 7/38734 + 2014147/116202. Suppose t*q**3 - 4/3*q**2 - 2*q**5 - 16/3*q - 11/3*q**4 + 0 = 0. What is q?
-4, -1/2, 0, 2/3, 2
Factor -150/11 - 10*x - 2/11*x**3 - 26/11*x**2.
-2*(x + 3)*(x + 5)**2/11
Let w = -8550 + 17145/2. Let h(i) be the first derivative of w*i**2 - 19 + 13*i**3 + 6*i. Factor h(p).
3*(p + 1)*(13*p + 2)
Solve -102*i + 605 + 36875*i**2 - 8*i - 36870*i**2 = 0 for i.
11
Let c be (-12)/(-30) + 2*6/(-30). Factor 2/5*b**3 + 2/5*b + c - 4/5*b**2.
2*b*(b - 1)**2/5
Determine c so that 99853/4*c**2 + 1/4*c**4 + 25281 - 50403*c + 317/2*c**3 = 0.
-318, 1
Find j, given that -181*j + 86*j**3 - 8*j**2 - 1735*j + 1477*j**3 + 4 + 353*j**3 + 4 = 0.
-1, 2/479, 1
Factor -86/7*s + 2/7*s**2 + 240/7.
2*(s - 40)*(s - 3)/7
Let s(p) = -36*p**3 - 119*p**2 - 66*p + 21. Let y(f) = -40*f**3 - 120*f**2 - 65*f + 20. Let k(a) = -5*s(a) + 4*y(a). Determine r so that k(r) = 0.
-5, -1, 1/4
Let d be (-2)/(-1 + (-6)/2). Let q be (-9)/6*(-48)/((-96)/(-2)). Find g such that 1 + d*g**2 - q*g = 0.
1, 2
Let x = 1161/4 - 289. Let b(g) be the first derivative of -5*g + 5/6*g**3 + 15 + x*g**2. Factor b(h).
5*(h - 1)*(h + 2)/2
Let s(i) be the third derivative of -1/18*i**3 + 21*i**2 + 0 + 0*i - 1/216*i**4 + 1/180*i**5 + 1/1080*i**6. Determine m so that s(m) = 0.
-3, -1, 1
Let c(o) be the second derivative of 54*o + 4/9*o**2 + 4/27*o**3 + 0 + 1/54*o**4. Factor c(b).
2*(b + 2)**2/9
Let i = 13076 + -13073. Suppose 57 = 5*c + 12. Factor c*u - i*u - 4*u**3 + 2*u**3 + 4.
-2*(u - 2)*(u + 1)**2
Let v(d) = -2*d**3 - 13*d**2 + 3*d - 3. Let f be 8 + (-40)/(-6) + (-6)/9. Let i(y) = 10*y**3 + 66*y**2 - 14*y + 14. Let p(w) = f*v(w) + 3*i(w). Factor p(o).
2*o**2*(o + 8)
Let c = -11 - -9. Let k(p) = p**2 - 2*p - 6. Let y be k(c). Solve -2*h - 22*h**2 + 13*h**2 + y*h**3 - 4 + 13*h**2 = 0 for h.
-2, -1, 1
Let o(j) be the third derivative of 0 + 0*j - 2809/16*j**4 + 0*j**3 - 157*j**2 - 53/20*j**5 - 1/80*j**6. Factor o(r).
-3*r*(r + 53)**2/2
Let r = -11400/31 + 22955/62. Factor -r*k**2 - 19/8*k + 0 - 1/8*k**3.
-k*(k + 1)*(k + 19)/8
Find t, given that -9/7*t - 1/7*t**2 + 36 = 0.
-21, 12
Let k(w) be the second derivative of w**6/1980 + w**5/330 + 155*w**3/6 - w - 5. Let d(x) be the second derivative of k(x). Factor d(b).
2*b*(b + 2)/11
Let -112/5*y**3 + 322/5*y**2 - 108/5*y**4 + 218/5 + 543/5*y + 1/5*y**5 = 0. What is y?
-1, 2, 109
Suppose 33*q - 31*q = 10. Suppose -25*a + 3 + 1 - 4 - q*a**2 = 0. What is a?
-5, 0
Let l be (5*(-2)/(-50))/(21/140). Suppose -5 + 2 = -w. Suppose -18 + 34/3*o**w + 30*o**2 + l*o**4 + 18*o = 0. What is o?
-3, 1/2
Let c = -1921524/5 + 384305. Determine a so that -14/5 + c*a**2 - a = 0.
-2, 7
Let v = 5/11022 + 137755/44088. Suppose -v*o - 9/4 - 7/8*o**2 = 0. What is o?
-18/7, -1
Suppose -494*r = -1760 + 278. Solve 12/7*d + 8/7*d**4 - 16/7*d**r - 8/7*d**2 + 0 + 4/7*d**5 = 0 for d.
-3, -1, 0, 1
Let n(p) be the third derivative of 0 - 1/150*p**6 + 1/75*p**5 + 0*p - 1/840*p**8 + 1/15*p**3 - 27*p**2 + 1/20*p**4 - 1/175*p**7. Suppose n(z) = 0. Calculate z.
-1, 1
What is j in 913 + 1140*j**2 + 446 + 2447*j - 130*j**4 - 783*j**3 - 83*j - 639 + 15*j**5 - 134*j**4 = 0?
-3, -1, -2/5, 2, 20
Let a(h) be the second derivative of 4/7*h**2 - 345*h + 5/42*h**4 + 17/42*h**3 + 0 + 1/140*h**5. Factor a(d).
(d + 1)**2*(d + 8)/7
Let s(p) be the first derivative of 22 + 1/135*p**6 - 1/27*p**4 + 0*p**5 - 15*p + 1/9*p**2 + 0*p**3. Let t(v) be the first derivative of s(v). Factor t(d).
2*(d - 1)**2*(d + 1)**2/9
Let h(v) be the second derivative of -v**6/15 - 7*v**5/2 - 79*v**4/3 - 244*v**3/3 - 120*v**2 - 201*v - 2. Factor h(j).
-2*(j + 1)*(j + 2)**2*(j + 30)
Let a be (-1)/3 + 2/(-3). Let r be a/2 - 42/(-12). Factor r*u**4 + 3*u**3 + 9*u - 9*u.
3*u**3*(u + 1)
Let a be 58