0. Factor t(d).
-2*d*(d + 1)*(9*d - 116)/17
Let w(h) = 3*h**5 - 20*h**4 - 49*h**3 + 65*h**2 + 7*h + 3. Let b(j) = j**5 - j**4 + j**3 - 4*j**2 + j - 1. Let l(o) = 3*b(o) + w(o). Solve l(r) = 0 for r.
-2, -1/6, 0, 1, 5
Suppose 18870192 + 3615*h - 8131*h - 10532*h + 3*h**2 = 0. What is h?
2508
Suppose 0 = 4*d + 4*r - 0*r - 60, 3*d - r = 49. Factor -36*l - 50*l**3 - 169*l**2 + 58*l**2 + d - 99*l**2.
-2*(l + 4)*(5*l - 1)*(5*l + 2)
Let l(y) = -92*y**2 + 2392*y. Let f be l(26). Factor 9/2*b + 11/2*b**3 + 19/2*b**2 + f + 1/2*b**4.
b*(b + 1)**2*(b + 9)/2
Factor -44/15*r**2 + 0 - 2/15*r**3 - 48/5*r.
-2*r*(r + 4)*(r + 18)/15
Let l(n) = n**5 - 2*n**2 - 2*n - 4. Let g(b) = 2*b**5 - 143*b**4 + 510*b**3 - 121*b**2 - 660*b + 76. Let j(x) = 3*g(x) - 24*l(x). What is h in j(h) = 0?
-27, -1, 1/6, 2
Suppose -4*l - 16 = 4*b, -255*b = -l - 258*b - 16. Factor -13/5*s**3 - 1/5*s**4 + 0*s**l + 0*s + 0.
-s**3*(s + 13)/5
Let r = 1976282/5 + -395254. Find q such that 2*q**2 + 4/5*q**3 + 0 - 2/5*q**4 - r*q = 0.
-2, 0, 1, 3
Let k be 56/2*(-24)/(-84). Let i(l) be the first derivative of k + 2/23*l + 3/23*l**2 - 56/69*l**3. Factor i(p).
-2*(4*p - 1)*(7*p + 1)/23
Let v(g) be the first derivative of g**4/78 - 28*g**3/39 + 196*g**2/13 - 11*g + 61. Let d(m) be the first derivative of v(m). Factor d(b).
2*(b - 14)**2/13
Let c(u) be the first derivative of 4*u**5/225 - u**4/30 - u**3/9 - 95*u**2/2 - 110. Let s(n) be the second derivative of c(n). Factor s(j).
2*(2*j + 1)*(4*j - 5)/15
Let l(g) be the first derivative of -2*g**5/25 - 2*g**4 + 242*g**3/15 - 20*g**2 + 4081. What is q in l(q) = 0?
-25, 0, 1, 4
Let d(n) = n**3 + 18*n**2 - 17*n + 41. Let x be d(-19). Suppose -s - 8 = -5*s. Solve -3 + 15*b - x - 58*b**2 + 67*b**s = 0 for b.
-2, 1/3
Let f(a) = -473*a + 23658. Let t be f(50). Find i, given that 8/3*i**3 - t*i**2 + 32/3*i - 1/3*i**4 - 16/3 = 0.
2
Let x(n) = -9*n - 439. Let m be x(-49). Let c(p) be the second derivative of 2*p - 343/8*p**m + 0 - 7/16*p**4 + 1/80*p**5 + 49/8*p**3. Factor c(v).
(v - 7)**3/4
Let z(w) be the third derivative of -w**9/3024 + w**8/1344 + 11*w**4/24 + w**3/3 + 64*w**2. Let j(p) be the second derivative of z(p). Factor j(u).
-5*u**3*(u - 1)
Let s = -402 - -400. Let d be 96/40 + (s - -6). Find n such that 58/5*n**2 + d + 7/5*n**3 + 128/5*n = 0.
-4, -2/7
Let j(t) = 2950*t + 17722. Let m be j(-6). Let y(s) be the first derivative of -18*s - 19*s**2 - 22/3*s**3 - 1/2*s**4 + m. Solve y(f) = 0.
-9, -1
Let t(x) be the third derivative of -x**7/1050 + x**6/200 + 4*x**5/75 + x**4/10 - 962*x**2 - 1. Determine b so that t(b) = 0.
-2, -1, 0, 6
Let x(l) be the third derivative of -l**8/420 - 92*l**7/525 - 791*l**6/200 - 8287*l**5/300 + 254*l**4/3 - 90*l**3 + l**2 - 27*l + 20. Let x(m) = 0. What is m?
-27, -10, 1/2
Let b(k) be the third derivative of -k**5/12 + 95*k**4/3 + 255*k**3/2 - 2*k**2 - 1077. Determine c, given that b(c) = 0.
-1, 153
Let u(b) be the second derivative of -5*b**4/12 + 55*b**3/6 - 45*b**2 + 2*b + 3677. Factor u(h).
-5*(h - 9)*(h - 2)
Suppose -6 = 3*c + 3, 0 = 3*b + 4*c - 6. Factor 3*p**2 - b*p**2 - 350199*p + 350175*p - 36.
-3*(p + 2)*(p + 6)
Suppose -318 = -13*s - 71. Let i be -4 - s/((-399)/90). Factor 0*q**4 - 2/7*q**5 + 4/7*q**3 + 0*q**2 + 0 - i*q.
-2*q*(q - 1)**2*(q + 1)**2/7
Let x be 3480/1200 + (1/(-10))/(-1). Let q(r) be the first derivative of 16*r**2 + 7 - 4/3*r**x - 28*r. Factor q(j).
-4*(j - 7)*(j - 1)
Suppose 3/8*l**2 - 1677/8 - 837/4*l = 0. Calculate l.
-1, 559
Let l(j) = -j**2 - 658*j - 59049. Let i be l(-108). Factor 54 + 1521/2*y**2 + 2197/4*y**3 + i*y.
(13*y + 6)**3/4
Let n(w) be the third derivative of w**6/180 + 2*w**5/5 - 85*w**4/4 - 154*w**2 + 2*w + 3. Factor n(u).
2*u*(u - 15)*(u + 51)/3
Let a = 35880 + -35874. Let d(g) be the third derivative of 4*g**2 - 19/90*g**5 + 0*g + 35/72*g**4 + 1/40*g**a + 0 - 1/3*g**3. Factor d(x).
(x - 3)*(x - 1)*(9*x - 2)/3
Let x(c) be the second derivative of c**6/90 - c**5/6 + 29*c**4/36 - 4*c**3/9 - 8*c**2 - c - 636. Suppose x(s) = 0. Calculate s.
-1, 3, 4
Let c(s) be the first derivative of -2*s**3/21 + s**2/7 + 264*s/7 - 828. Determine n so that c(n) = 0.
-11, 12
Let c(t) = 36*t**3 - t - 1. Let v be c(1). Suppose -13*w - v*w = 0. Factor 9/2*b**4 + w + 3*b**2 - 3/4*b**5 + 0*b - 27/4*b**3.
-3*b**2*(b - 4)*(b - 1)**2/4
Let p(r) be the second derivative of -r**5/60 + 103*r**4/36 - 901*r**3/6 + 867*r**2/2 + 150*r. Factor p(i).
-(i - 51)**2*(i - 1)/3
Let a = -1551917/2 + 775959. Determine j, given that -a*j**3 - 9/2 - 7/2*j**2 - 15/2*j = 0.
-3, -1
Suppose -36/7*r**3 - 32/7*r**4 + 32/7*r**2 + 2/7*r**5 + 34/7*r + 0 = 0. What is r?
-1, 0, 1, 17
Let k be -7 - (24/(-6) + -5). Factor -1 + 705*x + 36*x**k - x**4 + 5*x**4 - 677*x + 9 + 20*x**3.
4*(x + 1)**3*(x + 2)
Determine t, given that 2/5*t**4 - 34/5*t + 276/5 + 34/5*t**3 - 278/5*t**2 = 0.
-23, -1, 1, 6
Let n(c) be the third derivative of -1/270*c**5 - 4/27*c**3 - 1/27*c**4 - 4*c**2 + 0*c + 0. Solve n(d) = 0.
-2
Let k(h) be the third derivative of -25*h**2 + 2 + 0*h**3 + 0*h + 1/294*h**7 - 1/392*h**8 - 1/84*h**5 - 1/28*h**4 + 1/70*h**6. Let k(n) = 0. What is n?
-1, -2/3, 0, 1, 3/2
Let 1244*t - 738*t + 0*t**2 + 883*t + 3*t**2 + 15*t = 0. What is t?
-468, 0
Suppose 196 = 13*d + 560. Let m be -3*d/21 - 4. Suppose m - 1/6*g**2 + 1/6*g = 0. Calculate g.
0, 1
Let x(r) be the third derivative of -3/4*r**5 + 19*r**2 - 7/40*r**6 - 1/70*r**7 + 0*r**3 + 0*r - 9/8*r**4 + 1. Let x(v) = 0. Calculate v.
-3, -1, 0
Let g(v) be the second derivative of -29*v**4/42 - 2*v**3/21 - 4160*v. Solve g(d) = 0.
-2/29, 0
Let q(b) be the first derivative of 0*b**2 - 30*b - 2/21*b**3 - 1/70*b**5 - 45 + 1/14*b**4. Let o(s) be the first derivative of q(s). Factor o(m).
-2*m*(m - 2)*(m - 1)/7
Suppose -16/7*x**3 + 200/7*x**2 - 119*x + 1156/7 = 0. Calculate x.
4, 17/4
Let n be (37/((-1110)/(-60)))/((-13)/(-28)). What is t in 16/13 + 16/13*t**4 + 76/13*t**2 + 50/13*t**3 + n*t + 2/13*t**5 = 0?
-2, -1
Let d = 16062 + -16059. Factor -6/13*k**4 + 0*k + 2/13*k**5 + 0*k**2 + 0 + 4/13*k**d.
2*k**3*(k - 2)*(k - 1)/13
Suppose 10*c - 120 = -54*c + 4*c. Let d(v) be the first derivative of 1/18*v**3 + 30 - 1/2*v**c + 0*v. Solve d(u) = 0.
0, 6
Let i be (-20)/(-6) - 49/147. Suppose -6*b + 5*b - 2*p - 8 = 0, -i*p - 12 = -2*b. Factor -2/17*g + b - 2/17*g**2.
-2*g*(g + 1)/17
Let n(m) = -8*m**2 + 62*m + 16. Let o be n(8). Suppose o = -f + 5*w + 30, -3*w + w = 3*f - 5. Factor 0 - 9/5*j**3 + 6/5*j**4 + 12/5*j + 3/5*j**f - 12/5*j**2.
3*j*(j - 1)**2*(j + 2)**2/5
Let b(c) be the third derivative of -c**6/720 + 11*c**5/240 - 3*c**4/8 - 53*c**3/2 + 43*c**2 + c. Let w(a) be the first derivative of b(a). Factor w(v).
-(v - 9)*(v - 2)/2
Let j be ((9 - 21)/(-12))/(9/4). Let q(b) be the first derivative of 12 + 0*b**2 - 8/15*b**5 - 5/6*b**4 - 1/9*b**6 - j*b**3 + 0*b. Factor q(s).
-2*s**2*(s + 1)**2*(s + 2)/3
Let i(j) be the first derivative of -j**4/48 + 5*j**3/12 - 2*j**2 + 92*j - 149. Let a(h) be the first derivative of i(h). Find x such that a(x) = 0.
2, 8
Suppose 3*v = 5*j + 3482 - 3540, -6*v = j - 38. Factor -8/19*a**3 + 0*a - 24/19*a**2 + 0 + 2/19*a**v.
2*a**2*(a - 6)*(a + 2)/19
Find l, given that 1/2*l**5 - 23/2*l**4 + 111/2*l**3 - 157/2*l**2 + 34*l + 0 = 0.
0, 1, 4, 17
Let h be (-34)/(-11) + 804/(-737). Let p(n) be the second derivative of -1/2*n**3 + 11/8*n**4 + 0 + 0*n**h - 21*n. Factor p(y).
3*y*(11*y - 2)/2
Let j(f) be the second derivative of 6859/13*f**2 - 34*f - 1/130*f**5 - 3 + 19/26*f**4 - 361/13*f**3. Factor j(o).
-2*(o - 19)**3/13
Let t(k) be the second derivative of k**4/4 + 235*k**3/2 - 711*k**2 - 2933*k. Factor t(z).
3*(z - 2)*(z + 237)
Suppose -4*h = -2*s - s - 2447, -4*s + h - 3254 = 0. Let v = s - -20331/25. Solve v*r + 4/25 + 2/25*r**2 = 0.
-2, -1
Let s be ((-44)/(-20))/((-8)/(-40)). Suppose -2*f - 29 = -3*r, 18 = 4*r + 3*f - 15. Find l, given that -s*l - l**2 + 8*l - r + 1 + 12*l = 0.
1, 8
Let n be (-14)/(-60) + 4/24. Suppose 255*i - 891*i + 1908 = 0. Solve n*c**2 - 2/5*c**i + 6/5 + 2*c = 0.
-1, 3
Let f(v) be the third derivative of -v**7/70 - 11*v**6/40 - 29*v**5/20 + 11*v**4/8 + 15*v**3 + 472*v**2. Let f(p) = 0. Calculate p.
-6, -5, -1, 1
Suppose -48/5*i**4 + 276/5*i**2 + 34/5*i**3 + 0 + 2/5*i**5 + 0*i = 0. What is i?
-2, 0, 3, 23
Let f(z) = 2945*z**2 + 24*z + 28. Let c be f(-6)