e r(-1). Let 2*o**2 - 258*o + 4 + a*o - 264*o = 0. Calculate o.
1, 2
Let o(t) be the first derivative of t**6/9 - 12*t**5/5 + 95*t**4/6 - 220*t**3/9 - 32*t**2 + 256*t/3 + 1749. Suppose o(c) = 0. Calculate c.
-1, 1, 2, 8
Let m(t) be the third derivative of t**6/480 + t**5/20 + 29*t**4/96 - 7*t**3/4 - 4171*t**2. Factor m(q).
(q - 1)*(q + 6)*(q + 7)/4
Suppose 9*o + 3*g + 236 = 13*o, -o + 64 = -2*g. Factor 3*v**2 + 66 + 75*v + o - 122.
3*v*(v + 25)
Suppose x - 7 = 2*o + 89, 0 = 5*x + 5*o - 480. Solve -x*c**2 + 192*c**4 - 390*c**4 - 48*c + 174*c**4 - 72*c**3 - 3*c**5 = 0.
-2, 0
Suppose 12*g - 87 + 3 = 0. Let o(t) = t**2 - 4*t - 19. Let y be o(g). Determine v so that 14*v**2 + 4 + 9*v**y + 4*v - 22*v**2 = 0.
-2
Factor 0 + 2/7*i**2 + 12*i.
2*i*(i + 42)/7
Find l, given that -1/2*l**3 + 0*l - 39*l**2 + 0 = 0.
-78, 0
Let -35*b**4 + 0*b - 9/2*b**3 + 1/2*b**5 + 0 + 315*b**2 = 0. Calculate b.
-3, 0, 3, 70
Let z(y) be the first derivative of y**4/6 - y**3/18 + 23*y + 17. Let o(n) be the first derivative of z(n). Find r, given that o(r) = 0.
0, 1/6
Suppose -5*y + 4*w = -19, -37 = 4*y - 7*y - 4*w. Determine d so that -d**2 + 0*d - 10 - y*d - d**2 - 4*d**2 - 10*d = 0.
-2, -5/6
Let k(o) be the second derivative of -o**7/1400 + o**6/200 - o**5/100 - 71*o**3/3 - 22*o. Let s(h) be the second derivative of k(h). Factor s(i).
-3*i*(i - 2)*(i - 1)/5
Suppose 0 - 168*r - 3/8*r**2 = 0. What is r?
-448, 0
Let d(c) = 39*c**2 - 171*c + 243. Let h(p) = p**3 - 78*p**2 + 341*p - 485. Let o = -563 + 560. Let y(g) = o*h(g) - 5*d(g). Factor y(j).
-3*(j - 5)*(j - 4)**2
Let w be -1*(1 - 1)/2. Let -2*t**3 + w*t**3 - 11789*t**2 + 11785*t**2 + 6*t = 0. Calculate t.
-3, 0, 1
Let g be 1 + -8 + 0 + 42/6. Let p(x) be the second derivative of 8/21*x**7 + 0*x**3 - 14/15*x**6 + 0 - 27*x - x**4 - 14/5*x**5 + g*x**2. Solve p(k) = 0.
-1, -1/4, 0, 3
Let u be -2 + (66 - -2 - -2). Let x = 854 + -837. What is o in -13*o - u + 9*o**2 - x*o + 44 = 0?
-2/3, 4
Suppose 5*x - 259*q + 15 = -254*q, -27 = -13*x + 2*q. Determine y, given that -2/11*y**4 - 360/11*y - 40/11*y**x - 162/11 - 236/11*y**2 = 0.
-9, -1
Suppose 0 = 116*b - 114*b - 20. Find p such that 20*p + b - 10*p**2 - 5*p**3 + 29 + 17 - 16 = 0.
-2, 2
Let s(d) be the second derivative of d**7/63 - 7*d**6/25 + 62*d**5/75 + 2*d**4/3 - 1118*d. Find n such that s(n) = 0.
-2/5, 0, 3, 10
Suppose 555*l - 553*l - 46 = 0. Determine n, given that -25*n + l*n - 141 - 71*n - 3*n**2 - 6*n - 65*n = 0.
-47, -1
Let m(y) be the third derivative of -y**6/100 - 29*y**5/25 - 247*y**4/5 - 4056*y**3/5 - 5*y**2 + 56*y + 3. Factor m(a).
-6*(a + 6)*(a + 26)**2/5
Let q(o) = -10*o**3 + 50*o**2 - 45*o + 10. Let n(r) = r**4 - r**3 - r + 2. Let u(t) = 5*n(t) - q(t). Let u(k) = 0. What is k?
-4, 0, 1, 2
Solve -81/2 + 558*r - 123/2*r**2 = 0.
3/41, 9
Let f be ((12/9)/(-2))/(1/(-3)). Let s be ((-12)/(-51))/f - (-833)/289. Find r, given that 1/2*r**2 + r + 1/4*r**4 - 3/4 - r**s = 0.
-1, 1, 3
Let a be 4/1 + (0 - 0). Let i = 1691 - 1686. Determine f so that i*f**2 - 1 - f**4 + 10*f**3 + 6*f**a + 1 = 0.
-1, 0
Let o(n) be the second derivative of -1/50*n**5 + 0 - 33*n + 1/10*n**3 + 1/10*n**2 - 1/50*n**6 - 1/210*n**7 + 1/30*n**4. Factor o(y).
-(y - 1)*(y + 1)**4/5
Find s, given that 16 + 15*s**2 - 391 + 5*s**2 - 24*s**2 + 140*s - s**2 = 0.
3, 25
Let z = 2184250/11 + -198568. Determine u, given that 2/11*u**3 + 24/11 - z*u**2 - 16/11*u = 0.
-3, 2
Let a(q) be the first derivative of -5*q**4/12 + 20*q**3/3 - 35*q**2/2 + 41*q - 49. Let h(z) be the first derivative of a(z). Factor h(j).
-5*(j - 7)*(j - 1)
Let y be -13 - (-15 - -4 - 2). Let x(u) be the second derivative of y - 8*u + 0*u**2 + 1/28*u**4 + 1/14*u**3. Factor x(k).
3*k*(k + 1)/7
Let z(s) be the second derivative of -3*s**5/20 + 6*s**4 + 27*s**3/2 - 75*s**2 + 2267*s. Suppose z(v) = 0. Calculate v.
-2, 1, 25
Let w = 698805/11 + -63527. Factor w*k**4 + 8/11*k**2 + 0 + 2/11*k + 12/11*k**3 + 2/11*k**5.
2*k*(k + 1)**4/11
Solve -57/2 + 2*t**5 - 68*t - 13*t**2 + 66*t**3 + 83/2*t**4 = 0.
-19, -1, -3/4, 1
Let m(l) be the first derivative of -l**6/120 - l**5/80 + l**4/8 + 61*l + 64. Let r(a) be the first derivative of m(a). Factor r(w).
-w**2*(w - 2)*(w + 3)/4
Factor -3224/17*y**2 + 24336/17*y + 140/17*y**3 - 2/17*y**4 + 0.
-2*y*(y - 26)**2*(y - 18)/17
Determine j so that 1009 + 2546*j - 318*j - 624*j**3 + 551 + 128*j**4 - 4*j**5 - 88*j**2 = 0.
-1, 3, 5, 26
Let h(x) be the second derivative of 5*x**4/24 - 20*x**3/3 - 100*x**2 - 109*x - 1. Determine v, given that h(v) = 0.
-4, 20
Suppose 15*n - 11029 - 1586 = 0. Let 58*m + 4*m**2 + 3*m**2 - n - 8*m**2 = 0. Calculate m.
29
Let v = 28247/1540 - 71/770. Let -75/4*d**2 - 7/2*d + 0 + 3*d**4 - v*d**3 = 0. Calculate d.
-2/3, -1/4, 0, 7
Let t(n) be the third derivative of -n**8/504 - 79*n**7/189 - 1441*n**6/45 - 41624*n**5/45 + 21296*n**4/27 + 13*n**2 - 42*n. Factor t(b).
-2*b*(b + 44)**3*(3*b - 1)/9
Determine q so that -6*q**2 + 2*q**2 - 151*q + 468 + 6*q**2 - 87*q = 0.
2, 117
Let d(f) be the second derivative of -3/2*f**3 + 0*f**2 - 1 - 1/4*f**4 - 14*f. Factor d(r).
-3*r*(r + 3)
Let k(g) = -2*g**2 - 3*g - 4. Let z be k(-2). Let m be z/8 - 11950/(-2600). Find u, given that -2/13 + 20/13*u - m*u**2 = 0.
1/5
Factor 3/4*r**2 + 5/4*r + 0.
r*(3*r + 5)/4
Let t(c) be the first derivative of -4*c**3/3 - 18*c**2 + 448*c - 6353. Factor t(b).
-4*(b - 7)*(b + 16)
Let f(q) be the second derivative of q**6/1440 - q**5/30 - 35*q**3/6 + 3*q - 18. Let a(w) be the second derivative of f(w). Let a(h) = 0. Calculate h.
0, 16
Let c = -7498 + 37499/5. Let s(t) be the second derivative of 0 - c*t**5 - 12*t - 1/10*t**6 - 75/2*t**2 - 30*t**3 - 23/2*t**4. Factor s(o).
-3*(o + 1)**2*(o + 5)**2
Factor 710/3*w + 476/3 + 232/3*w**2 - 2/3*w**3.
-2*(w - 119)*(w + 1)*(w + 2)/3
Let q(y) be the third derivative of -y**7/1400 + y**6/40 - 7*y**5/100 + 91*y**3/6 - 23*y**2. Let f(g) be the first derivative of q(g). Factor f(w).
-3*w*(w - 14)*(w - 1)/5
Let j(d) = 4*d**2 - 958*d - 941. Let a(h) = -2*h**2 + 958*h + 946. Let s(u) = 6*a(u) + 4*j(u). Find c such that s(c) = 0.
-478, -1
Let p(y) = -130*y**2 + 860*y - 3680. Let v(h) = -21*h**2 + 142*h - 613. Let c(z) = 4*p(z) - 25*v(z). Factor c(n).
5*(n - 11)**2
Let j(h) be the third derivative of -2 + 69*h**2 - 1/80*h**5 + 0*h - 81/8*h**3 + 9/16*h**4. Factor j(i).
-3*(i - 9)**2/4
Let w(z) be the third derivative of -z**6/480 + 31*z**5/120 - 39*z**4/32 - 15*z**3/2 - 5*z**2 - 9*z - 2. Suppose w(d) = 0. Calculate d.
-1, 3, 60
Let v(c) = -4*c**3 + 292*c**2 - 3864*c - 51204. Let p(t) = -4*t**3 + 293*t**2 - 3870*t - 51205. Let s(f) = 4*p(f) - 5*v(f). Factor s(l).
4*(l - 40)**2*(l + 8)
Suppose -2/15*t**2 + 140/3 + 86/15*t = 0. What is t?
-7, 50
Let j(b) be the second derivative of -b**4/54 - 128*b**3/27 + 268*b**2/3 - 1743*b. Solve j(o) = 0.
-134, 6
Let r be 6 - ((-4236)/(-45) - 16/120). Let p be -1 + r/(-72) - (-68)/18. Factor 0*g - 2/5*g**p + 0 + 1/5*g**3 + 1/5*g**5 + 0*g**2.
g**3*(g - 1)**2/5
Let l(t) be the first derivative of -15 + 15/2*t**2 - 11/300*t**5 + 0*t - 1/15*t**3 - 13/120*t**4. Let i(m) be the second derivative of l(m). Solve i(n) = 0.
-1, -2/11
Let b be 6 + 2 - (-3 + 9). Factor m**b - 2214*m + 2202*m - 3*m**2 - 18.
-2*(m + 3)**2
Factor -162*y + 13122 + 1/2*y**2.
(y - 162)**2/2
Determine h, given that 1177*h**4 + 1086*h**2 + 39 - 177*h**3 - 3409*h**4 - 528*h**5 - 375*h - 3 + 30*h**2 = 0.
-4, -1, 1/4, 3/11
Solve 2126/9*n**2 + 140 + 1318/3*n + 286/9*n**3 - 10/9*n**4 = 0.
-3, -2/5, 35
Let b be 10/224*91 - 4. Let j(t) be the first derivative of -b*t**4 + 0*t + 1/2*t**3 + 7/8*t**2 - 21. Let j(n) = 0. Calculate n.
-1, 0, 7
Suppose 2/3*d**5 - 10/3*d**3 + 0*d + 2*d**2 + 0 + 2/3*d**4 = 0. Calculate d.
-3, 0, 1
Let y(k) be the second derivative of 2*k**7/105 + 49*k**6/75 + 196*k**5/25 + 572*k**4/15 + 256*k**3/3 + 80*k**2 - 2*k + 17. Suppose y(x) = 0. Calculate x.
-10, -2, -1/2
Suppose -q - 6 = q, 4*n = 2*q + 18. Suppose -g + 3*g + 6 = -4*y, 0 = -n*y - g - 3. Factor -8/7*z + y - 4/7*z**2.
-4*z*(z + 2)/7
Let x(h) be the second derivative of -h**9/7560 - h**8/672 - h**4/2 + 3*h**2 - 207*h. Let v(s) be the third derivative of x(s). Determine t so that v(t) = 0.
-5, 0
Let i(k) be the second derivative of k**4/3 + 260*k**3/3 + 2178*k**2 - 11*k - 3. Suppose i(q) = 0. Calculate q.
-121, -9
Factor 