 + 0*i. Factor a(l).
2*l*(l - 1)**2
Let t(s) be the first derivative of -s**5/180 + 7*s**4/36 - 121*s**2 - 170. Let h(q) be the second derivative of t(q). Let h(n) = 0. Calculate n.
0, 14
Let h(i) be the third derivative of 0*i**3 + 19/60*i**5 - 2 + 1/120*i**6 + 0*i**4 + i**2 + 0*i. Factor h(u).
u**2*(u + 19)
Let i(f) be the second derivative of 2*f**4 - 4/3*f**3 + 2/5*f**6 - 1/21*f**7 - 15*f + 0 + 0*f**2 - 13/10*f**5. Factor i(y).
-2*y*(y - 2)**2*(y - 1)**2
Let f = 28490 - 28472. Let a(x) be the first derivative of 4*x**3 + f - 30*x + 3/4*x**4 - 21/2*x**2. Solve a(o) = 0.
-5, -1, 2
Let v = 5189483/14 + -370907. Let j = 1618/7 + v. Determine q so that -5/4*q**4 - 9/2*q**3 + 0 - j*q - 19/4*q**2 = 0.
-2, -1, -3/5, 0
Let y = 30426/7 + -4222. Let q = y - 864/7. Factor q - 1/7*k**3 + 4/7*k - 2/7*k**2.
-(k - 2)*(k + 2)**2/7
Suppose -187240 = -83*x - 219*x. Let m(r) be the first derivative of 36 - 180*r + 1335/4*r**4 - 2425/3*r**3 + 36*r**5 + x*r**2. Determine j so that m(j) = 0.
-9, 1/4, 2/3
Let g(s) = -2*s**2. Let h(f) = -5*f**2 + 2*f**2 - 92*f**3 + 2*f + 93*f**3 - f. Let u(d) = 5*g(d) - 2*h(d). Solve u(i) = 0 for i.
-1, 0
Let i(o) be the second derivative of -12*o - 3/7*o**2 - 9/140*o**5 + 5/14*o**3 + 1/7*o**4 + 1. Suppose i(w) = 0. Calculate w.
-1, 1/3, 2
Suppose -10*w = -11*w. Let j be 5 - (w - (-2 - 0) - -1). Factor 3*o + 32*o**2 + 3*o**3 - 4 - 38*o**j + 4.
3*o*(o - 1)**2
Factor -28/3*x**3 + 511/3*x - 65*x**2 - 6.
-(x - 2)*(x + 9)*(28*x - 1)/3
Let x(d) be the first derivative of 5*d**4/8 - 11*d**3/3 + 21*d**2/4 + 10656. Factor x(k).
k*(k - 3)*(5*k - 7)/2
Suppose 0*h + 127/6*h**4 + 0 + 43/2*h**3 + 1/3*h**2 = 0. What is h?
-1, -2/127, 0
Factor -1540*c**2 - 5*c**3 + 661*c**2 - 31*c**2 + 3360*c + 4160*c - 15200.
-5*(c - 4)**2*(c + 190)
Let z be (-13)/(-21) + (704/(-1232) - (-2)/7). Determine g, given that 1/3*g**2 + z*g**3 - 1/3*g - 1/3 = 0.
-1, 1
Suppose -15*s - 88 = -11*s. Let b = s + 53. Factor -12*t**3 + 44*t - 18*t**2 - 3*t**4 - 3 - b*t - 25*t.
-3*(t + 1)**4
Let c be 4545/(-594) - (-1 - -1). Let v = 86/11 + c. Determine p, given that -v*p**5 - 1/2*p**4 + 1/3*p**3 - 1/2 - 1/6*p + p**2 = 0.
-3, -1, 1
Let i(h) = -7*h + 70. Suppose 10*s - 6*s = 40. Let t be i(s). Factor t - 1/2*v**2 + v**3 - 1/2*v**4 + 0*v.
-v**2*(v - 1)**2/2
Let u(w) be the first derivative of -w**5/12 - 7*w**4/8 - 2*w**3/3 + 107*w**2/2 - w + 113. Let s(j) be the second derivative of u(j). Let s(l) = 0. Calculate l.
-4, -1/5
Let a(k) be the second derivative of 2 - 3/50*k**5 + 1/30*k**4 + 1/105*k**7 - 9*k - 1/75*k**6 + 2/15*k**3 + 0*k**2. Find c such that a(c) = 0.
-1, 0, 1, 2
Let m(x) be the second derivative of -x**7/63 + x**6/15 - x**5/30 - x**4/6 + 2*x**3/9 - 389*x. Determine r, given that m(r) = 0.
-1, 0, 1, 2
Let v be -6 + ((-3)/4)/((-9)/96). Suppose -3*r - x + 6 = 7, 2 = -v*x. Factor r + 4/5*l**3 + 0*l**2 - 12/5*l**4 + 0*l.
-4*l**3*(3*l - 1)/5
Let z(d) = 6*d**2 - 8*d + 7. Let j(l) = l**3 - 9*l**2 + 5*l + 21. Let f be j(8). Let u(y) = -7*y**2 + 8*y - 8. Let h(c) = f*u(c) - 4*z(c). Factor h(q).
-(q - 2)*(3*q - 2)
Let h be 1 + -15*1/3. Let c be (-6)/15 + h*1 - -6. Suppose 2*o**2 - 2/5*o**3 - 16/5*o + c = 0. Calculate o.
1, 2
Let m(z) be the first derivative of -z**5/35 - 15*z**4/14 - 100*z**3/7 - 500*z**2/7 - 1705. Factor m(w).
-w*(w + 10)**3/7
Let f be ((-1771)/(-364))/11 - (17/(-13) - -1). Factor 27/2*u - 243/4 - f*u**2.
-3*(u - 9)**2/4
Let q(p) = 33*p - 1184. Let l be q(36). Let i(w) be the second derivative of 0*w**3 + 3/20*w**5 + 0 + 18*w + 1/4*w**l + 0*w**2. Factor i(o).
3*o**2*(o + 1)
Let 5/8*s**4 + 0 + 0*s - 1/8*s**5 - 9/8*s**2 - 3/8*s**3 = 0. What is s?
-1, 0, 3
Let r(o) be the third derivative of -o**5/100 + 73*o**4/40 + 15*o**3 - 2369*o**2. Factor r(u).
-3*(u - 75)*(u + 2)/5
Let v(y) be the second derivative of 1/6*y**3 + 0 + 1/40*y**5 + 39*y + 0*y**2 - 1/8*y**4. Solve v(p) = 0 for p.
0, 1, 2
Let l(c) = -6*c**3 + 392*c**2 - 146*c + 1043. Let y be l(65). Find d, given that -40/3 - 2*d**y - 368/9*d - 98/3*d**2 = 0.
-15, -2/3
Suppose 6*x - b + 43 = 11*x, -x - b = -11. Suppose 3*m - 5*s = -0*s - x, 3*m - 3*s = 0. What is p in 0 + 0*p**2 + 0*p + 2/5*p**m - 4/5*p**3 = 0?
0, 2
Let r be (-45)/243*3*396/(-165). Factor 1/3*g**3 + 2*g**2 + r + 3*g.
(g + 1)**2*(g + 4)/3
Let j = 922/9 - 17500/171. Let k be -4*(2 + (-77)/38). Factor 6/19*h**2 + 6/19*h + k*h**3 + j.
2*(h + 1)**3/19
Suppose -3*w**2 - 308930 - 576543 + 4650*w - 1210089 + 293687 = 0. What is w?
775
Let k(p) be the first derivative of -p**6/3 - 126*p**5/5 - 61*p**4/2 + 42*p**3 + 62*p**2 + 1779. Solve k(u) = 0.
-62, -1, 0, 1
Let y(k) be the first derivative of 2/5*k**2 + 1/15*k**3 + 9 + 0*k. What is q in y(q) = 0?
-4, 0
Let j = 1843283/3 - 614423. Let s be 7/(-3)*(-2)/7. Factor s*u**2 - j*u + 4.
2*(u - 6)*(u - 1)/3
Let y(g) = 4*g**2 - 24*g + 64. Let h(r) = r**2 + r - 2. Let j(c) = 8*h(c) - y(c). Determine a, given that j(a) = 0.
-10, 2
Factor -51*m - 159*m - 100*m**2 + 116*m + 4*m**3 - 142*m - 4*m**2 + 336.
4*(m - 28)*(m - 1)*(m + 3)
Let z(x) be the second derivative of x**6/15 + 51*x**5/20 + 79*x**4/6 + 14*x**3 - 44*x**2 + 6495*x. Factor z(p).
(p + 2)**2*(p + 22)*(2*p - 1)
Let d(m) = -m**2 - m. Suppose 9*k + 30 = 4*k. Let h(g) = g**3 - g**2 - 4*g - 2. Let b(u) = k*d(u) + 2*h(u). Factor b(z).
2*(z - 1)*(z + 1)*(z + 2)
Find p, given that 524/17*p**3 + 76/17*p - 574/17*p**2 + 0 - 26/17*p**4 = 0.
0, 2/13, 1, 19
Let r = -1/138259 - -360164716/2903439. Let d = 873/7 - r. Factor 0*w - w**3 + 0 - d*w**2 + 5/3*w**4.
w**2*(w - 1)*(5*w + 2)/3
Let m(q) = -15*q**3 - 495*q**2 + 1060*q + 1560. Let f(l) = 8*l**3 + 247*l**2 - 529*l - 780. Let s(u) = 5*f(u) + 3*m(u). Factor s(a).
-5*(a - 3)*(a + 1)*(a + 52)
Let p(n) = -765*n**2 + 2205*n - 1587. Let q(v) = 764*v**2 - 2204*v + 1587. Let a(x) = -4*p(x) - 3*q(x). Factor a(h).
3*(16*h - 23)**2
Let q(i) be the third derivative of 0*i**5 + 0*i - 19/630*i**6 + 0*i**4 + 0 + 97*i**2 + 0*i**3 + 3/49*i**7 - 1/504*i**8. Suppose q(j) = 0. Calculate j.
0, 2/7, 19
Determine c so that 404/5*c**4 - 81608/5 - 24644*c + 1/5*c**5 + 40801/5*c**3 - 1214/5*c**2 = 0.
-202, -1, 2
Let c(b) be the third derivative of -b**5/540 - 187*b**4/216 + 7*b**3 - 5300*b**2. Find x such that c(x) = 0.
-189, 2
What is d in 34170227*d**2 + 16616100*d**2 - 26702016*d - 772632*d**4 + 11462152*d**2 + 31082273*d**2 - 108444000*d**3 + 1903727 - 1372*d**5 + 641041 = 0?
-282, 2/7
Let t(g) be the second derivative of -g**4/6 - 1736*g**3/3 - 753424*g**2 + 285*g. Determine j, given that t(j) = 0.
-868
Suppose 82*c = 168 + 242. Suppose 7/8*l**3 - 11/8*l**2 - 1/2*l**c + 11/8*l**4 + 0 - 3/8*l = 0. What is l?
-1, -1/4, 0, 1, 3
Let o(t) = t + 2. Let r be o(0). Suppose 2*p + r*p = -3*f + 20, p = -5*f + 22. Factor -7 - n**5 - 81*n**3 + 80*n**2 + 11*n**3 - f*n**5 + 17 + 30*n**4 - 45*n.
-5*(n - 2)*(n - 1)**4
Let b(l) = -l**2 - 4*l. Let w be b(0). Let c = w - -2. Factor 32*j - 64*j - j**2 - c*j**2 + 35*j.
-3*j*(j - 1)
Let b be 0/(5 + (-4 - 6)). Let x be 6/8 + (4 - 4). Factor 3/4*r**2 + b*r - x.
3*(r - 1)*(r + 1)/4
Let j(k) = 123 - 27 - 383*k + 68 + 376*k. Let o be j(23). Factor 16/5*r**o + 0*r**2 + 0 - 4/5*r**4 + 0*r.
-4*r**3*(r - 4)/5
Let r(j) be the first derivative of -j**4/60 - 6*j**3/5 - 162*j**2/5 + 10*j - 166. Let t(z) be the first derivative of r(z). Solve t(s) = 0.
-18
Let f = -12480 - -38260/3. Let r = -272 + f. Determine q, given that r*q**2 + 0*q**3 - 8/3 + 0*q - 1/6*q**4 = 0.
-2, 2
Let n(k) be the second derivative of -k**6/6 + 8*k**5 + 175*k**4/3 + 120*k**3 - 6421*k. Factor n(i).
-5*i*(i - 36)*(i + 2)**2
Let h(m) be the second derivative of -m**5/20 - 9*m**4/4 + 80*m**3/3 + 2*m + 282. Factor h(v).
-v*(v - 5)*(v + 32)
Let q(p) be the second derivative of -3*p**4/4 + 988*p**3 + 1977*p**2/2 - 3664*p. Factor q(x).
-3*(x - 659)*(3*x + 1)
Let a(v) be the third derivative of 0 - 1/14*v**5 + 2/7*v**4 + 16/21*v**3 + 271*v**2 + 1/210*v**6 + 0*v. Solve a(f) = 0.
-1/2, 4
Suppose -m + 0*m - 4*m**3 - 913427*m**2 + 913391*m**2 + m = 0. What is m?
-9, 0
Solve 220*f + 121 + 1/4*f**5 + 19/4*f**3 - 17/4*f**4 + 433/4*f**2 = 0 for f.
-2, -1, 11
Let s = -194 + 196. Factor -114*c**3 + 15360*c + 480*c**s + 19843 + 119*c**3 + 143997.
5*(c + 32)**3
Let 7528*h - 2542587 - 3*h**2 + 24683 - h**2 - 1471437 + 447417 = 0. Calculate h.
941
Let r(j) be the sec