150 + 0*q**3 - 1/2*q**2 + 1/12*q**4 - 2/3*q. Solve i(u) = 0.
-1, 2
Factor 36/5*g**2 + 38/5*g + 12/5 + 2*g**3.
2*(g + 1)*(g + 2)*(5*g + 3)/5
Let m(d) be the first derivative of -46*d**3/11 + 274*d**2/11 + 16*d/11 + 8996. Determine u so that m(u) = 0.
-2/69, 4
Let a = 4128 + -4123. Let t(q) be the third derivative of 15*q**2 + 1/6*q**4 + 0*q + 1/30*q**a + 0 - q**3. Factor t(i).
2*(i - 1)*(i + 3)
Factor -12*s**2 - 14*s**2 - 1296 - 4*s**2 - 340*s + 26*s**2.
-4*(s + 4)*(s + 81)
Let f(b) be the first derivative of 5*b**6/6 + 3*b**5 + 15*b**4/4 + 5*b**3/3 + 963. Determine l so that f(l) = 0.
-1, 0
Let w(d) be the second derivative of -d**6/24 + 19*d**5/24 - 5*d**4/4 + d**3/3 + 4*d**2 + 233*d. Let y(r) be the second derivative of w(r). Factor y(z).
-5*(z - 6)*(3*z - 1)
Let 2/3*a**3 + 256/3*a - 44*a**2 + 0 = 0. Calculate a.
0, 2, 64
Let u = -72 + 105. Let f be -4 + 5/30*u. Determine z, given that f*z**2 + 0 - 15/2*z = 0.
0, 5
Suppose -11*p - 11*p = 10*p - 288. Let v(l) be the third derivative of p*l**2 + 7/60*l**5 - 1/40*l**6 + 0 + 0*l**4 + 0*l - 2/3*l**3. Solve v(a) = 0.
-2/3, 1, 2
Let d(o) be the first derivative of -20*o**3/3 + 965*o**2/4 - 1035*o/2 + 253. Find t such that d(t) = 0.
9/8, 23
Let f be (-33)/12 + -5*(-12)/20. Let i(j) = 6*j**3 + 29*j**2 - 10*j - 23. Let m be i(-5). Factor -m*k**2 + 5/4*k + f*k**3 + 25/2.
(k - 5)**2*(k + 2)/4
Suppose -929 = -2*i + 201. Solve -2*v**2 - 545 + 420*v - v**2 - 330*v + 435 - i = 0 for v.
15
Let f = 31 + -28. Suppose -2*v - 5*m + 31 = v, 0 = -v - f*m + 17. Factor -8*j**2 + 2*j**3 - j**4 + j**3 + 3*j**2 + v*j**2 + j.
-j*(j - 1)**3
Find s such that 232 + 2*s**3 + 2744/5*s - 386/5*s**2 = 0.
-2/5, 10, 29
Let k = 2633 - 23695/9. Let l(n) be the first derivative of -1/2*n**4 - 14/27*n**3 - 2/9*n**2 - 1/27*n**6 - 24 + 0*n - k*n**5. Factor l(y).
-2*y*(y + 1)**3*(y + 2)/9
What is a in 2/7*a**2 + 169362/7 + 1164/7*a = 0?
-291
What is k in 12*k + 16/3 + 1/3*k**4 + 28/3*k**2 + 3*k**3 = 0?
-4, -2, -1
Let n be 2/5 + 117/45. Let p(v) = 7*v**3 + v + 5. Let d be p(n). Factor -d*m**2 - 1418*m**2 - 17576*m - 46807 - 2*m**4 - 413*m**2 - 10315 - 104*m**3.
-2*(m + 13)**4
Let b(z) be the second derivative of -z**4 - 1019*z**3/2 + 765*z**2/2 + 12489*z. Factor b(u).
-3*(u + 255)*(4*u - 1)
Suppose 5*s - s = 2*p + 210, 4*p = -4*s - 384. Let o = p - -497/5. Factor 8/5*u + o + 8/5*u**2.
2*(2*u + 1)**2/5
Suppose -3*d**4 - 11*d**2 - 42*d**3 - 12*d**2 + 8*d**2 - 24*d**2 = 0. Calculate d.
-13, -1, 0
Solve 5/7*d - 6/7*d**3 + 6/7 + 2/7*d**4 + 1/7*d**5 - 8/7*d**2 = 0 for d.
-3, -1, 1, 2
Let w = 286858877/299331 + -2/299331. Find u, given that 245/3*u - w*u**4 - 1430/3*u**2 + 1150*u**3 + 625/3*u**5 - 5 = 0.
1/5, 1, 3
Suppose -d + 5*g = -25, d = 4*d - 3*g - 15. Suppose d = 3*f + 3*f. Determine u, given that 6 + 6 + f*u - 2*u + 10*u - 4*u**2 = 0.
-1, 3
Factor 8*w**3 - 9*w**3 + 15*w**3 - 514*w**2 - 430 + 79 - 1828*w - 129.
2*(w - 40)*(w + 3)*(7*w + 2)
Factor -4 - 2/9*w**3 + 8/9*w**2 + 10/3*w.
-2*(w - 6)*(w - 1)*(w + 3)/9
Let b be (75/60 + (-3 - -4))/((-6)/(-16)). Let x(t) be the third derivative of 11/480*t**5 + 14*t**2 - 1/32*t**4 - 1/6*t**3 + 1/320*t**b + 0 + 0*t. Factor x(g).
(g - 1)*(g + 4)*(3*g + 2)/8
Let x(b) be the first derivative of 2*b**3/9 - 191*b**2/3 - 772*b/3 + 1375. Solve x(m) = 0.
-2, 193
What is p in 1/5*p**3 - 925444/5 + 184704*p + 1923/5*p**2 = 0?
-962, 1
Let i(v) = 3*v**2 - 4*v - 15. Let d be i(-3). Suppose f - 3*b = 40, 5*f + b - d = 4*f. Factor -66*w - 8*w**3 + 6*w - 36*w**2 - 8*w**3 - f + 12*w**3.
-4*(w + 1)**2*(w + 7)
Let y(d) be the first derivative of 14*d**3 + 1/5*d**5 + 0*d + 0*d**2 + 1/120*d**6 - 25 + 3/2*d**4. Let x(m) be the third derivative of y(m). Factor x(b).
3*(b + 2)*(b + 6)
Find i, given that -3073107 + i**5 - 18*i**4 + 3073107 + 71*i**3 + 90*i**2 = 0.
-1, 0, 9, 10
Suppose -1242*q = -967*q - 56 - 494. Find c such that -2/5*c**2 + q*c + 12/5 = 0.
-1, 6
Let w be 3/1*-1 - (0 + -5). Suppose w*o - 11 = -13. Let j(u) = 1. Let m(q) = -2*q**3 + 4*q**2 - 2. Let i(b) = o*m(b) - 2*j(b). Factor i(d).
2*d**2*(d - 2)
Let v(f) be the second derivative of f**7/168 + 79*f**6/120 + 31*f**5/16 + 77*f**4/48 + f + 445. Factor v(q).
q**2*(q + 1)**2*(q + 77)/4
Let k(c) be the first derivative of -4*c**3/3 - 1960*c**2 - 960400*c - 675. Determine w so that k(w) = 0.
-490
Suppose 0 = -4*r + f + 1053, 2*r - f + 142 = 667. Let g = -262 + r. Determine t so that -10/9*t + 0 + 2/9*t**g = 0.
0, 5
Let u(g) be the third derivative of -5/12*g**4 + 0 - 1/4*g**5 + 0*g - 18*g**2 + 5/6*g**3. Factor u(r).
-5*(r + 1)*(3*r - 1)
Solve -4/3*m**3 + 0 - 184/3*m**2 + 0*m = 0.
-46, 0
Suppose -1248/7 + 1252/7*u - 4/7*u**2 = 0. Calculate u.
1, 312
Suppose -7 = -j - 18. Let x be ((-33)/j)/(2/4) - -4. Factor -x - 2*o**2 + 15 - 4 - 9 - 8*o.
-2*(o + 2)**2
Let z = -6 - -9. Let o be 18/1 + (-52 - -56). Factor 2*u**5 - 15*u**4 - 94*u**z - o*u**5 + 99*u**3.
-5*u**3*(u + 1)*(4*u - 1)
Let s(z) be the second derivative of -z**6/180 - z**5/20 + 3*z**4/8 + 2*z - 177. Find k such that s(k) = 0.
-9, 0, 3
Let k(s) be the second derivative of -s**6/6 - 31*s**5/4 - 415*s**4/12 + 155*s**3/6 + 210*s**2 - 2*s - 1636. What is i in k(i) = 0?
-28, -3, -1, 1
Let b = 283 + -264. Factor 7 - 2*k**3 + 19 + 6*k**2 - 56 + 7*k + b*k.
-2*(k - 5)*(k - 1)*(k + 3)
Suppose 3*p - 25 = -2*x, -x + 12*p - 26 = 8*p. Let i(a) be the second derivative of 0 + 37*a + 1/5*a**x + 1/90*a**4 + 4/45*a**3. Factor i(w).
2*(w + 1)*(w + 3)/15
Let g be (-2)/5 - (12 - 128/20). Let b be g - 603/(-54) - 5. What is k in 0*k**2 + 0*k + 0 + 1/6*k**4 - b*k**3 = 0?
0, 1
Let c(h) be the first derivative of 5/6*h**2 - 5/12*h**4 + 10/3*h - 5/3*h**3 + 1/3*h**5 + 36. Factor c(v).
5*(v - 2)*(v - 1)*(v + 1)**2/3
Solve -17*r + 46682*r**2 + 46692*r**2 - 93371*r**2 - 420 = 0 for r.
-28/3, 15
Let n(h) be the third derivative of h**7/525 - 43*h**6/300 - 19*h**5/10 - 437*h**4/60 - 196*h**3/15 + 8583*h**2 + h - 1. Determine z, given that n(z) = 0.
-4, -1, 49
Let k(d) be the second derivative of -d**10/2016 - d**9/2520 + 35*d**4/6 + 19*d + 2. Let v(a) be the third derivative of k(a). Factor v(b).
-3*b**4*(5*b + 2)
Let x be (-3 - -3)/(8 - -26 - 32). Factor -6/13*b**3 - 2/13*b**4 + x*b**2 + 0*b + 0.
-2*b**3*(b + 3)/13
Suppose -3*n = 5*f + 154, -4*n - 267 = f - 73. Let x = -43 - n. Find r such that -4*r**3 + 11*r**2 - 4*r**2 + 7*r - r + x*r**3 = 0.
-6, -1, 0
Suppose 0 = -o, -5*k + 4*o - 187 = -197. Let g(t) be the first derivative of -3/4*t - 3/16*t**k + 15 + 1/8*t**3. Suppose g(p) = 0. What is p?
-1, 2
Let f be ((6/(-15))/((-4)/30))/15. Let z(d) be the third derivative of -1/100*d**5 + f*d**3 + 8*d**2 + 0*d + 0 - 7/120*d**4. Solve z(w) = 0 for w.
-3, 2/3
Suppose -19 = 10*d - 609. Suppose -11 + d = 16*h. Find u such that -36*u + 4/3*u**4 + 0 - 12*u**h + 36*u**2 = 0.
0, 3
Let g(d) = d**2 + 26*d - 115. Let t be g(4). Let y(p) = -5*p**2 - 80*p + 100. Let u(z) = 5*z**2 + 80*z - 97. Let k(b) = t*u(b) + 4*y(b). Factor k(x).
5*(x - 1)*(x + 17)
Let u be (-242)/(-77) + ((-100)/(-35) - 3). Let o(r) be the first derivative of u*r**3 + 6 - 3/8*r**4 + 12*r - 9*r**2. Determine k, given that o(k) = 0.
2
Solve -24 - 52*s**2 + 34*s**3 + 5*s**2 - 67*s**2 - 19 + 118*s + 2*s**4 + 3 = 0 for s.
-20, 1
Let l(v) be the first derivative of 7/5*v**2 - 2/15*v**3 - 4*v - 61. Factor l(j).
-2*(j - 5)*(j - 2)/5
What is s in -s**2 + 5*s - 200 + 12*s + 28*s + 7*s - 220 = 0?
10, 42
Determine m, given that 2768 - 24229*m + 50684*m - 2*m**3 - 25067*m - 1382*m**2 = 0.
-692, -1, 2
Let b be 0/((-9)/((-72)/(-16))). Suppose b = -5*w + 2*v - 2, 4*w - 14*v = -11*v - 3. Factor 0*r - 10/3*r**3 - 2/3*r**4 + w - 8/3*r**2.
-2*r**2*(r + 1)*(r + 4)/3
Let y(f) be the second derivative of -f**6/60 - 131*f**5/40 - 176*f**4 + 363*f**3 + 1008*f. Factor y(n).
-n*(n - 1)*(n + 66)**2/2
Let y = 420 + -415. Find i, given that 530*i**y - 14*i**3 - 14*i**2 - 1584*i**5 + 531*i**5 + 10*i + 26*i + 525*i**5 - 16 + 6*i**4 = 0.
-4, -2, 1
Let o be 156/585*3/(-346). Let k = 344/865 - o. What is z in k + 0*z - 2/5*z**2 = 0?
-1, 1
Let k = 1803291/409840 - -1/81968. Factor -14/5*b - 2/5 - k*b**2 - 2*b**3.
-2*(b + 1)**2*(5*b + 1)/5
Let i(p) be the first derivative of -5*p**4/24 + 5*p**3 - 55*p**2/4 + 128*p - 40. Let w(s) be the first derivative of i(s). Factor w(x).
-5*(x - 11)*(x - 1)/2
Let h = -14/8851 + 31