1918)/274 - (-454)/64. Let a(i) be the first derivative of 30 + 0*i**2 - w*i**4 - 3/8*i**3 + 0*i. Factor a(l).
-3*l**2*(l + 3)/8
Suppose -5*w + 4*q - 5767 = 0, 9*w - 6*w + 2*q + 3469 = 0. Let k = w - -1159. Solve 1/7*m - 2/7*m**2 - 2/7*m**3 + 1/7*m**k + 1/7 + 1/7*m**5 = 0 for m.
-1, 1
Let f(d) be the first derivative of -3/7*d**4 - 8/35*d**5 + 0*d + 36 + 2/21*d**6 + 16/21*d**3 + 8/7*d**2. Determine x so that f(x) = 0.
-1, 0, 2
Suppose 10*g - 4*g = 588. Factor 62 + 118*q - 20 - g*q + 2*q**2.
2*(q + 3)*(q + 7)
Let k(j) be the third derivative of -1/780*j**6 + 198*j**2 - 20/39*j**3 + 0 + 0*j - 41/156*j**4 - 11/195*j**5. Factor k(m).
-2*(m + 1)**2*(m + 20)/13
Factor 25*m - 594 + 5*m**2 + 191 + 175 + 198.
5*(m - 1)*(m + 6)
Let m(w) be the third derivative of -135*w**8/112 - 12*w**7/7 + 77*w**6/6 + 24*w**5 + 40*w**4/3 - 3060*w**2. Find q such that m(q) = 0.
-2, -4/9, 0, 2
Suppose 0 = -7*x + 6*x - 5*m + 53, 2*m - 17 = x. Solve 7/5*f**2 - 8/5*f - 1/5*f**x - 16/5 = 0 for f.
-1, 4
Let l = -19 - -12. Let s(x) = -x**2 - 7*x + 2. Let n be s(l). Factor -1 + 13 - 60*p**n - 14*p**3 + 8*p**2 - 26*p.
-2*(p + 1)*(p + 3)*(7*p - 2)
Let t(l) be the third derivative of -25*l**4/24 + 127*l**3/6 - 58*l**2. Let x be t(5). Factor 4/7 + 5/7*q**3 + 4/7*q - 13/7*q**x.
(q - 2)*(q - 1)*(5*q + 2)/7
Let u(f) be the first derivative of 0*f - 1/30*f**5 + 6 - 9*f**2 - f**4 - 11/3*f**3. Let w(t) be the second derivative of u(t). Suppose w(z) = 0. Calculate z.
-11, -1
Determine t, given that 592*t**3 + 392*t - 58*t**4 + 56*t - 7 + 4*t**5 - 74*t**4 - 912*t**2 + 7 = 0.
0, 1, 2, 28
Let l(x) be the third derivative of x**6/480 + x**5/48 - x**4/12 - x**3/2 - 4*x**2 + 49*x + 1. Factor l(f).
(f - 2)*(f + 1)*(f + 6)/4
Let z(h) = 11*h - 19. Let w be z(6). Let p = w - 45. Let -5*c + 43 - 9*c**2 - p*c**4 + 4*c**3 - 11*c**3 - 44 = 0. Calculate c.
-1, -1/2
Let y(r) be the second derivative of -r**7/105 - 7*r**6/75 - 9*r**5/25 - 2*r**4/3 - 8*r**3/15 + 568*r. Factor y(n).
-2*n*(n + 1)*(n + 2)**3/5
Let 7*t**2 - 70*t**2 + 8*t**2 + 52 + 53*t**2 - 150*t + 100 = 0. What is t?
-76, 1
Let c = 3026 + -3024. Let u(g) be the second derivative of -1/40*g**5 + 0*g**c + 0*g**3 - 1/12*g**4 + 0 + 21*g. Factor u(l).
-l**2*(l + 2)/2
Let s be -15*(-10)/3 + 0. Suppose 0 = -4*t + 5 + 75. Factor 4*f**2 + t - 5*f + f**2 - s.
5*(f - 3)*(f + 2)
Let r(t) be the third derivative of -t**6/240 + 223*t**5/40 + 447*t**4/16 + 671*t**3/12 + 5*t**2 - 192. Factor r(c).
-(c - 671)*(c + 1)**2/2
Suppose 1239/4*o**4 + 190959/2*o**3 + 1155681/4*o - 576599/2*o**2 + 1/4*o**5 - 385641/4 = 0. What is o?
-621, 1
Factor 5767 - 8019 + 4092 - 5706*q + 1381*q + 2480 + 5*q**2.
5*(q - 864)*(q - 1)
Let v(a) be the first derivative of -4*a**5/5 - 48*a**4 - 124*a**3 - 92*a**2 - 903. Factor v(w).
-4*w*(w + 1)**2*(w + 46)
Let z = -254 + 1777. Find o such that -1093*o**2 - 491*o - 160 + z*o**2 - 309*o - 55*o**3 = 0.
-2/11, 4
Let j = -1254677/5 - -250936. Factor 3/5 - 3/5*a**2 + j*a - 3/5*a**3.
-3*(a - 1)*(a + 1)**2/5
Suppose -4*w = -w - 6. Let c be 10/270 - ((-4048)/(-432) + -10). Find x such that 2/3*x**w - 4/3*x + c = 0.
1
Suppose 17*f = 15*f + 4. Let j - 13*j - 33 - 22 + 59 + 9*j**2 - f*j**3 = 0. What is j?
1/2, 2
Let x(o) be the first derivative of -o**4/7 - 916*o**3/21 - 1808*o**2/7 - 3600*o/7 + 5432. Determine t so that x(t) = 0.
-225, -2
Suppose 0 = -0*u - 15*u + 735. Factor 8 - 50*r + 5*r**2 - 105 - u + 26.
5*(r - 12)*(r + 2)
Let a be (12/66)/(-10 + 1 + (-1030)/(-110)). Determine c so that -c + 0 + 3/2*c**3 + a*c**2 = 0.
-1, 0, 2/3
Let c(p) = -p**2 + 73294*p - 439724. Let o be c(6). Solve 20/3 + 52*b - 148*b**3 + 80/3*b**o + 188/3*b**2 = 0 for b.
-1/4, -1/5, 1, 5
Let b(u) = u**2 + 2*u + 5. Let c be b(-2). Suppose -m + 12 = 3*m - 2*j, c*j = 0. Solve 7 + 15*g**4 + 12*g**3 - 9*g**5 - 18*g**m - 7 = 0 for g.
0, 2/3, 1
Let r be 4/((-5)/3 - -3). Suppose a + 1 - 9 = -r*h, -5*h = -5*a - 40. Determine s so that 56*s + 3*s**2 + 3*s**h + 15*s**3 - 83*s + 6*s**2 = 0.
-3, 0, 1
Let j be 1485/(-36) + 6/(-8). Let l = 45 + j. Suppose 7 - 5*z**2 + l*z**2 + 2*z + 5 - 4*z = 0. Calculate z.
-3, 2
Let g = -277 + 281. Let w = -611/4 - -153. Suppose -5/4*o - 1/4*o**5 + 1/2*o**2 - 3/4 + w*o**g + 3/2*o**3 = 0. Calculate o.
-1, 1, 3
Let s(o) be the first derivative of -15*o**4/4 - 50*o**3/3 + 285*o**2/2 + 1074. Suppose s(t) = 0. What is t?
-19/3, 0, 3
Factor -342*n - 2385 + 154*n**2 + n**5 + 124*n**3 - 295*n + 20*n**4 + 1699.
(n - 2)*(n + 1)*(n + 7)**3
Factor -4/5*y**2 + 1/5*y**5 - 4/5*y**3 + 0*y + 1/5*y**4 + 0.
y**2*(y - 2)*(y + 1)*(y + 2)/5
Suppose 299/7*n**2 + 102/7*n**3 + 1/7*n**4 + 198/7*n + 0 = 0. Calculate n.
-99, -2, -1, 0
Let g(l) = -2495*l + 2499. Let u be g(1). Find s such that 0*s - 2/11*s**3 + 0 + 0*s**2 + 2/11*s**5 + 0*s**u = 0.
-1, 0, 1
Let p(y) be the second derivative of y**9/432 - y**8/1680 + 19*y**3 + 65*y. Let s(r) be the second derivative of p(r). Let s(w) = 0. Calculate w.
0, 1/7
Let j(t) = -7*t**2 + 1011*t. Let d(m) = -5*m**2 + 759*m. Let a(n) = 11*d(n) - 8*j(n). Determine q, given that a(q) = 0.
-261, 0
Let m(c) be the first derivative of -2/3*c**6 - 84 + c + 0*c**2 - 10/3*c**3 - 5*c**4 - 3*c**5. What is q in m(q) = 0?
-1, 1/4
Let a(g) = -4*g**5 + 10*g**4 + 2*g**3 - 6*g**2 + 4*g - 2. Let x(k) = -5*k**5 + 13*k**4 + 2*k**3 - 7*k**2 + 6*k - 3. Let y(u) = -6*a(u) + 4*x(u). Solve y(h) = 0.
-1, 0, 1, 2
Let i(q) = 2*q**2 + 24*q - 26. Let f be i(-13). Suppose 5*v + m - 13 + 10 = f, 3*v + 2*m - 6 = 0. Solve 9/2*g**3 + v + 0*g + 3/2*g**4 + 3*g**2 = 0.
-2, -1, 0
Let l(s) = -s**3 + 57*s**2 - 53*s - 168. Let r be l(56). Find c such that 3/4*c**5 + r - 9/4*c**4 + 0*c - 3/4*c**2 + 9/4*c**3 = 0.
0, 1
Suppose 17*d = 5*d + 10*d. Suppose 3*f + 2*p + 4 = d, -30*p = 3*f - 32*p - 4. Solve f*h + 3/4 + 0*h**3 - 3/2*h**2 + 3/4*h**4 = 0 for h.
-1, 1
Suppose -4*i - 4994 = -6*i. Factor 60*u**4 - 177*u**2 - 2*u**5 - 600*u**3 + 299*u + i*u**2 - 4139*u + 2304.
-2*(u - 12)**2*(u - 2)**3
Suppose -4*x + 19 = u - x, -4*x - 40 = -u. Let j be (-117)/26*u/(-63). Factor -1/5 - 2/5*h + 1/5*h**4 + 0*h**j + 2/5*h**3.
(h - 1)*(h + 1)**3/5
Suppose 69*j = -10*j - 0*j + 553. Let -4 - 7/2*n**2 + 1/2*n**3 + j*n = 0. Calculate n.
1, 2, 4
Let s(z) be the first derivative of -5*z**3/3 + 270*z**2 - 2575*z + 8630. Factor s(b).
-5*(b - 103)*(b - 5)
Let t(m) be the second derivative of -11*m**6/10 + 171*m**5/20 + 133*m**4/4 + 51*m**3/2 - 21*m**2 - 1000*m. Suppose t(j) = 0. What is j?
-1, 2/11, 7
Solve 3*u**2 - 5*u - 1183 + 1093 + 26*u = 0 for u.
-10, 3
Factor 8*p - 640/7 + 12/7*p**2.
4*(p + 10)*(3*p - 16)/7
Let s(r) be the third derivative of -r**6/144 - r**5/24 + 25*r**4/16 + 109*r**3/6 + 95*r**2. Let w(o) be the first derivative of s(o). What is g in w(g) = 0?
-5, 3
Suppose -g + 39*g + 17*g - 165 = 0. Solve 68/11*z**2 + 18/11*z**4 - 42/11*z - 2/11*z**5 + 10/11 - 52/11*z**g = 0.
1, 5
Let b(f) = -56*f**2 - 37159*f + 9286. Let v(q) = 159*q**2 + 111476*q - 27859. Let t(m) = -11*b(m) - 4*v(m). Factor t(i).
-5*(i + 1858)*(4*i - 1)
Suppose 0 = 3*d - 12*d + 828. Factor 11338*p**2 - 23*p - 11334*p**2 + d + 119*p.
4*(p + 1)*(p + 23)
Let v(o) be the second derivative of -1 + 36/17*o**2 - 45*o - 1/102*o**4 - 16/51*o**3. Factor v(p).
-2*(p - 2)*(p + 18)/17
Let n be 6355/18450 - (140/72 - 2). Find m such that 12/5*m**2 - n*m**3 - 16/5*m + 0 = 0.
0, 2, 4
Factor -2*i**2 + 56/5*i + 24/5.
-2*(i - 6)*(5*i + 2)/5
Let g = 800 - 804. Let b(k) = -7*k**3 + 14*k**2 - 34*k + 24. Let l(t) = -9*t**3 + 15*t**2 - 35*t + 25. Let f(r) = g*b(r) + 3*l(r). What is w in f(w) = 0?
1, 3, 7
Let w(p) be the third derivative of -p**5/15 - 31*p**4/3 - 1274*p**3/3 - 4480*p**2. Let w(l) = 0. What is l?
-49, -13
Factor 17556*g**2 + 84*g**4 + 0 + 1/5*g**5 + 43681/5*g + 44518/5*g**3.
g*(g + 1)**2*(g + 209)**2/5
Let t = 10771 - 215419/20. Let m(v) be the first derivative of 1/8*v**4 + 1/12*v**3 + 0*v**2 + 26 + t*v**5 + 0*v. Factor m(b).
b**2*(b + 1)**2/4
Let c be 1 + -1 - (204/(-12) + 14). Let t(s) be the first derivative of 1/3*s**c - 1/4*s**4 + 1/6*s**6 - 1/5*s**5 + 21 + 0*s**2 + 0*s. Factor t(o).
o**2*(o - 1)**2*(o + 1)
Let x be (35/(-20)*1)/(-1 + (-25)/10). Let f(v) be the first derivative of x*v**2 + 1/12*v**3 - 13 + v. Solve f(b) = 0 for b.
-2
Let b = -99 + 59. Let s = 42 + b. Factor 0*l**2 - 2*l**2 - 3*l**s - 6*l**3 - 5*l**4 + 16*l**3