.
-1, 0
Let b = 658 - 631. Suppose -4*p - 15 = -b. Factor -4/3*l**2 - 2/3*l**p - 2/3*l + 0.
-2*l*(l + 1)**2/3
Let u(v) be the third derivative of -5*v**8/336 + 26*v**7/21 - 197*v**6/24 + 121*v**5/6 - 20*v**4 - 32*v**2. What is o in u(o) = 0?
0, 1, 2, 48
Let l = 518873 + -518871. Factor 8/5*x + 2/5*x**l + 6/5.
2*(x + 1)*(x + 3)/5
Let m(c) be the first derivative of -3*c**5/100 + c**4/2 - 27*c**3/10 + 27*c**2/5 - 82*c + 163. Let x(u) be the first derivative of m(u). Factor x(d).
-3*(d - 6)*(d - 3)*(d - 1)/5
Let v(n) be the first derivative of n**3/3 - n**2/2 - 27*n - 22. Let r be v(6). Solve -r*l**3 - 28*l**2 + 10 + 4*l**2 - 40 - 57*l + 6*l**3 = 0 for l.
-1, 10
Let l = -744 + 1013. Find s such that 20 + 1019*s**2 + 420*s + 646*s**2 + l*s**2 + 271*s**2 = 0.
-2/21
Determine a, given that 9*a**2 + 2*a**4 + 51*a**2 + 72*a**2 - 12*a**3 - a**3 - 37*a**3 = 0.
0, 3, 22
Let f(i) be the first derivative of -459/32*i**4 - i**6 + 57 - 93/16*i**2 + 9/8*i + 33/5*i**5 + 109/8*i**3. Determine h, given that f(h) = 0.
1/4, 1, 3
Let t**2 + 375*t - 203*t + 225*t + 1077*t + 1119364 + 642*t = 0. What is t?
-1058
Let m(b) = 19*b**2 + 3999*b + 7930. Let r(w) = 7*w**2 + 1334*w + 2643. Let t(u) = 3*m(u) - 8*r(u). Let t(z) = 0. Calculate z.
-1323, -2
Suppose -886 = p + 2*f, -4*p - 9*f - 3550 = -7*f. Let k = p - -888. Factor q**2 + k*q**4 - 3/2*q - 1/2*q**5 + 2*q**3 - 1.
-(q - 2)*(q - 1)*(q + 1)**3/2
Let f(z) be the first derivative of -z**4/2 - 14*z**3 - 98*z**2 + 240*z - 1246. Factor f(t).
-2*(t - 1)*(t + 10)*(t + 12)
Let j(y) = -11*y**3 + 196*y**2 - 519*y + 318. Let z(w) = -7*w**3 + 130*w**2 - 346*w + 213. Let b(c) = -5*j(c) + 8*z(c). Factor b(o).
-(o - 57)*(o - 2)*(o - 1)
Factor 515*o**2 + 4 - 211*o**4 + 126*o**3 - 4 - 106*o**3 + 910*o + 206*o**4.
-5*o*(o - 13)*(o + 2)*(o + 7)
Let w(v) be the third derivative of -v**6/80 - 183*v**5/20 - 729*v**4/16 - 91*v**3 + v**2 + 1348*v. Solve w(r) = 0.
-364, -1
Let h(a) = a**3 + 5*a**2 + 7*a + 6. Let j be h(-3). Suppose 8*w**4 - 3*w**2 + 3*w**j + 20*w**4 - 25*w**4 - 3*w = 0. Calculate w.
-1, 0, 1
Factor -1755572/11*l - 52416/11*l**2 - 2/11*l**4 - 7535710/11 - 556/11*l**3.
-2*(l + 5)*(l + 91)**3/11
Suppose 4*g + 17*g + 4*g**3 + 1 - 24*g - g**2 + 1 - g**4 - g**3 = 0. Calculate g.
-1, 1, 2
Let j(u) = -u**3 + u**2 + 4*u. Let d(a) = -4096*a**4 - 3971*a**3 + 130*a**2 + 11*a. Let y(o) = d(o) - 3*j(o). Find k, given that y(k) = 0.
-1, 0, 1/64
Factor -1554*w**2 + 17*w**3 - 47 + 5*w**3 + 533*w**2 - 595*w - 15*w.
(w - 47)*(2*w + 1)*(11*w + 1)
Suppose 0 = 9*h + 25*h + 1122. Let d be (450/40)/(-15)*8/h. Solve 18/11 - d*g**3 - 30/11*g + 14/11*g**2 = 0 for g.
1, 3
Factor -852/11*x**2 + 192/11*x**3 - 10944/11*x - 6/11*x**4 - 19494/11.
-6*(x - 19)**2*(x + 3)**2/11
Suppose -442 = -p - 2*r - 407, -351 = -5*p - 21*r. Factor -2*s**4 + 0*s + 2/5*s**5 + 0 + 0*s**2 - 12/5*s**p.
2*s**3*(s - 6)*(s + 1)/5
Let w(i) be the second derivative of -5*i**7/189 + i**6/108 + 8*i**5/135 + i**4/27 - 47*i**2/2 + 72*i. Let z(h) be the first derivative of w(h). Factor z(k).
-2*k*(k - 1)*(5*k + 2)**2/9
Let a(q) be the third derivative of -q**8/3864 - 13*q**7/2415 - 16*q**6/345 - 74*q**5/345 - 40*q**4/69 - 64*q**3/69 + 2*q**2 - 606. Solve a(t) = 0.
-4, -2, -1
Let p(a) be the first derivative of 43*a + 3/4*a**4 - 11 - 3/20*a**5 + 0*a**2 - a**3. Let j(f) be the first derivative of p(f). Solve j(s) = 0.
0, 1, 2
Let t = 2 + -1. Let x(i) = i**5 + 4*i**4 + 6*i**3 + 7*i**2 - 2*i. Let g(c) = c**2 + 476743*c + 476745*c - 953489*c. Let u(w) = t*x(w) - 3*g(w). Solve u(p) = 0.
-1, 0
Let j(l) be the second derivative of l**4/30 + 902*l**3/15 - 903*l**2/5 + 2*l + 1439. Find a such that j(a) = 0.
-903, 1
Factor -129/4*m**2 - 33*m**3 - 3/4*m**4 + 0*m + 0.
-3*m**2*(m + 1)*(m + 43)/4
Suppose -4*s = -57 + 37. Suppose 8 = 2*i, i - 5*i = s*b - 86. Factor 12 + 3*k**2 + 5*k**2 - 6*k**2 + b*k.
2*(k + 1)*(k + 6)
Let y(z) be the third derivative of -2*z**7/105 + 43*z**6/15 - 163*z**5/5 + 120*z**4 + 15*z**2. Factor y(a).
-4*a*(a - 80)*(a - 3)**2
Factor -356*l**2 + 1201*l**2 + 13248*l + 38622*l + 796005.
5*(13*l + 399)**2
Let x(h) = -h**2 + 25*h - 62. Let b be x(22). Solve -6*j**3 - 119*j + 80*j + j**b + 71*j = 0.
-2, 0, 4
Factor 18*u - 975 - 28*u + 65 - 31*u - 40*u + u**2.
(u - 91)*(u + 10)
Let l(h) be the second derivative of 0 - 76*h + 21/2*h**3 + 13*h**4 + 21/20*h**5 + 0*h**2. Factor l(b).
3*b*(b + 7)*(7*b + 3)
Let d = -1588 - -1589. Suppose 3*t - 8*x = -7*x + d, 0 = t - 5*x + 23. Determine u, given that -1/4*u**4 + 0*u**t + 0*u + 0 + 0*u**3 = 0.
0
Let n = 769935 + -3849579/5. Solve 87/5*c**3 + n - 224/5*c + 2/5*c**5 + 14/5*c**2 + 5*c**4 = 0.
-6, -4, 1/2, 1
Let f = -623/15520 + 9/194. Let g(i) be the third derivative of 0*i**4 + 0 + 1/64*i**6 + 0*i**3 + 1/140*i**7 + 6*i**2 + f*i**5 + 0*i. Factor g(u).
3*u**2*(u + 1)*(4*u + 1)/8
Suppose -325*s - 9947 - 20677 = -436*s - 846*s. Factor s*y**3 + 0*y - 320*y**2 + 0 - 4/5*y**4.
-4*y**2*(y - 20)**2/5
Let k(w) be the third derivative of -w**5/12 - 1445*w**4/12 - 2885*w**3/6 - 86*w**2 + 3. Solve k(h) = 0.
-577, -1
Let b(n) be the second derivative of -5*n**4/12 + 635*n**3/6 - 1264*n. Factor b(r).
-5*r*(r - 127)
Let k(x) = 67*x + 1008. Let z be k(-15). Let i(j) be the third derivative of -1/4*j**4 + 1/10*j**5 + 0 + 0*j - 1/60*j**6 + 1/3*j**z + 31*j**2. Solve i(a) = 0.
1
Let t(l) be the first derivative of -22/9*l**3 - 5/3*l**4 - 58 - 1/3*l**2 + 0*l. Factor t(d).
-2*d*(d + 1)*(10*d + 1)/3
Let k(v) = 37*v**3 - 73*v**2 + 658*v - 34. Let w(s) = 13*s**3 - 24*s**2 + 219*s - 12. Let i(y) = -6*k(y) + 17*w(y). Factor i(b).
-b*(b - 15)**2
Let g(d) be the first derivative of -5/2*d**2 + 24 + d - 1/6*d**6 - 5/2*d**4 + d**5 + 10/3*d**3. Find f, given that g(f) = 0.
1
Let s(c) = 2*c + 7. Let x(f) = -f**2 + 2*f + 232. Let n(k) = s(k) - x(k). Determine l so that n(l) = 0.
-15, 15
Suppose 0 = -38*r + 44*r - 114. Factor 2*k**3 + 10*k**2 + r*k**2 - 25*k**2.
2*k**2*(k + 2)
Let w(p) be the second derivative of p**4/6 + 592*p**3/3 + 591*p**2 + 48*p - 15. Factor w(k).
2*(k + 1)*(k + 591)
Suppose -2/3*m**3 + 8*m**2 + 0*m + 0 - 1/6*m**5 - 4/3*m**4 = 0. What is m?
-6, -4, 0, 2
Let g(j) be the first derivative of 3*j**5/40 + 3*j**4 + 165*j**3/4 + 363*j**2/2 + 104*j + 163. Let y(v) be the first derivative of g(v). Factor y(b).
3*(b + 2)*(b + 11)**2/2
Let o be (2196/122)/(12/(-4 - -508)). Factor -36*k - 3/7*k**2 - o.
-3*(k + 42)**2/7
Let b(r) be the second derivative of 75544/5*r**5 + 19796/15*r**6 + 33376/3*r**3 + 98/3*r**7 - r + 3136*r**2 + 59984/3*r**4 + 38. Factor b(i).
4*(i + 14)**2*(7*i + 2)**3
Suppose 2*b - 3*v = 23, 18*v + 40 = 5*b + 14*v. Let d be -1 + 10/b + (-8)/(-16). Factor 26/7*w + 6/7*w**d - 20/7.
2*(w + 5)*(3*w - 2)/7
Let a(r) be the first derivative of r**6/1080 - r**5/180 - r**4/216 + r**3/18 - 29*r**2/2 + 55. Let z(p) be the second derivative of a(p). Factor z(t).
(t - 3)*(t - 1)*(t + 1)/9
Let w(l) be the third derivative of l**5/12 - 6215*l**4/12 - 4145*l**3/2 + 7*l**2 + 287*l - 2. Factor w(o).
5*(o - 2487)*(o + 1)
Let t(q) be the second derivative of -q**5/20 + 3*q**4/4 + 7*q**3/3 - 20*q**2 - 98*q. Let z be t(10). Find n such that 0*n - 1/2*n**4 + n**3 + z - 1/2*n**2 = 0.
0, 1
Let v(c) = 811*c - 12976. Let j be v(16). Factor j + 9*s**2 + 3*s**3 + 1/4*s**4 + 0*s.
s**2*(s + 6)**2/4
Suppose 132*u - 376 - 21 = -133. What is v in -320/3*v + 4/3*v**u + 6400/3 = 0?
40
Let 2/7*v**2 + 122*v - 856/7 = 0. What is v?
-428, 1
Let m(w) = w**4 + w**3 - 2*w**2 + 2. Let j(z) = -2*z**4 - 4*z**3 + 7*z**2 - 7. Let d(g) = 4*j(g) + 14*m(g). Find i, given that d(i) = 0.
0, 1/3
Let -221*c - 659*c - 315*c - 11*c - 7344 + 3*c**2 + 0*c**2 = 0. Calculate c.
-6, 408
Let v be (-8)/3*(1 + (-10)/4). Suppose a + 16 = 14, -4*l + v*a = -8. Solve 4/5*o**4 + 0*o**3 + 2/5*o**5 - 2/5*o + l - 4/5*o**2 = 0.
-1, 0, 1
Let c(l) be the third derivative of l**7/35 + 287*l**6/60 + 751*l**5/30 + 653*l**4/12 + 62*l**3 + 2515*l**2. Let c(p) = 0. Calculate p.
-93, -1, -2/3
Let y = 6668/339045 - 2/3229. Let u(l) be the second derivative of 9/25*l**5 + 16*l + 0 - 4/15*l**4 + y*l**7 + 0*l**2 + 0*l**3 - 4/25*l**6. Factor u(x).
4*x**2*(x - 4)*(x - 1)**2/5
Suppose h - 6 = -3*l + 18, -42 = -3*l + 5*h. Factor l*s + 7*s**5 + 6*s + 3*s + 5*s**4 - 2*s**3 - 18*s.
s**3*(s + 1)*(7*s - 2)
Let r(z) be the third derivative of 