ve of c**7/1050 + c**6/240 - c**5/200 + 123*c**2 + 2*c - 4. Factor f(v).
v**2*(v + 3)*(2*v - 1)/10
Find i such that 430/9*i**4 - 2688*i**2 - 5184*i + 0 + 2/9*i**5 + 22892/9*i**3 = 0.
-108, -1, 0, 2
Suppose u + u = 62. Suppose 0 = -4*t - 5*k + u, 2*t - 3*k = 31 - 10. Solve -t*j**5 - 9*j**3 + 8*j**5 - 2*j**5 + 12*j**4 = 0.
0, 1, 3
Let p(o) be the third derivative of o**8/1008 - o**7/70 - 23*o**6/360 + o**5/20 + 11*o**4/36 + 156*o**2 + o. Suppose p(n) = 0. Calculate n.
-2, -1, 0, 1, 11
Let c be 21 + -21 + (7 - 1). Suppose 8 + 4 = c*r. Factor -3*v**4 + 2*v**r - v**5 + v + 5 + v**4 - 5.
-v*(v - 1)*(v + 1)**3
Let b(v) be the second derivative of v**6/40 + v**5/20 - 5*v**4 - 56*v**3 + 104*v**2 - 211*v. Let d(o) be the first derivative of b(o). What is n in d(n) = 0?
-4, 7
Let u = -23097 + 300983/13. Factor -76/13*l + 2/13*l**2 + u.
2*(l - 19)**2/13
Let a(u) = 2*u**2 - 49*u - 78. Suppose 8*s - 4*s + 56 = 2*i, 2*s - 102 = -4*i. Let k be a(i). Let 4/5*f**2 + k*f + 0 + 0*f**3 - 4/5*f**4 = 0. What is f?
-1, 0, 1
Determine c, given that -30*c**4 - 5*c**5 - 60*c + 15*c**2 - 18*c**2 + 1745*c**3 - 1730*c**3 + 83*c**2 = 0.
-6, -2, 0, 1
Let l(s) = -6*s**3 + 23*s**2 + 98*s - 376. Let q be l(4). Let -12/7*x + 9/7*x**4 - 36/7*x**2 + q + 3/7*x**3 = 0. Calculate x.
-2, -1/3, 0, 2
Let s(v) be the second derivative of -v**5/100 + 21*v**4/10 - 882*v**3/5 + 37044*v**2/5 - 14*v - 47. Factor s(f).
-(f - 42)**3/5
Suppose -23*w - 90 = -29*w. Factor z + z + 3*z - 3*z**2 - 3*z - 20*z - w.
-3*(z + 1)*(z + 5)
Let n(y) be the third derivative of y**6/360 - 31*y**5/36 + 6083*y**4/72 - 5929*y**3/18 - 2*y**2 + 81. Suppose n(a) = 0. Calculate a.
1, 77
Let d(x) = 2*x - 9*x + 3*x**2 + 0*x + 3*x**3 + x**2 + 4. Let k(p) = -5*p**3 - 8*p**2 + 13*p - 7. Let g(n) = -7*d(n) - 4*k(n). Factor g(q).
-q*(q - 3)*(q - 1)
Let w(t) be the first derivative of 2*t**6/11 + 146*t**5/55 + 12*t**4 + 108*t**3/11 - 430*t**2/11 - 150*t/11 + 728. Suppose w(n) = 0. Calculate n.
-5, -3, -1/6, 1
Suppose -11*v + 144 = 540. Let b(c) = -c**2 - 38*c - 72. Let f be b(v). Find z such that 0*z + 0 - 1/2*z**4 + z**3 + f*z**2 = 0.
0, 2
Solve 33544*d**3 - 5*d + 35*d - 33541*d**3 + 33*d**2 = 0.
-10, -1, 0
Let g(y) be the third derivative of y**8/53760 + 5*y**7/2688 + y**6/80 + y**5/5 + y**3/3 - y**2 - 53*y. Let a(s) be the third derivative of g(s). Factor a(f).
3*(f + 1)*(f + 24)/8
Suppose 0 = -t + 4776*v - 4758*v + 363, 0 = -4*t - 4*v - 68. Solve 2/3*w**t - 2/9*w**5 + 100/9*w**2 - 32/9*w**4 + 64/9*w + 0 = 0 for w.
-16, -1, 0, 2
Let w be (162/210 + (-1)/5)*(-553)/(-158). Factor 5*s**w - 20/3*s**3 + 0 + 0*s + 5/3*s**4.
5*s**2*(s - 3)*(s - 1)/3
Let j be (-10)/(-615) - (-102480)/51660. Let a - 1/2*a**3 + 1/2*a**j + 0 = 0. Calculate a.
-1, 0, 2
Let d(f) be the third derivative of 0*f**3 - 5/12*f**4 - 1/120*f**5 + 0 + 0*f - 7*f**2. Factor d(r).
-r*(r + 20)/2
Let r = -893 - -1077. Let q be 3 + (0 - r/72). Factor 2/9*j - 4/9*j**2 + q - 2/9*j**3.
-2*(j - 1)*(j + 1)*(j + 2)/9
Let a = -541391 - -541393. Factor -1/2*s**a - 5*s + 11/2.
-(s - 1)*(s + 11)/2
Let a = -432 - -1033. Let h = -601 + a. Find p, given that -1/7*p**2 + h*p + 0 = 0.
0
Let l(o) be the second derivative of -52*o + 85*o**2 + 2 - 55/2*o**3 - 5/12*o**4. Factor l(j).
-5*(j - 1)*(j + 34)
Let j(d) be the second derivative of d**4/114 + 578*d**3/19 + 751689*d**2/19 - 598*d - 2. Suppose j(u) = 0. Calculate u.
-867
Let s(n) be the second derivative of n**9/630 - n**8/112 - 23*n**7/1680 - n**6/160 - n**4/2 - 20*n - 1. Let k(z) be the third derivative of s(z). Factor k(o).
3*o*(o - 3)*(4*o + 1)**2/2
Let i be (-6 - (-507)/65)/(36/90). Factor 3/4*k**2 + i*k + 27/4.
3*(k + 3)**2/4
Suppose -165*c - 164*c = -313*c - 320. Let w(f) be the third derivative of 0*f**4 + 0*f + 0 - 1/42*f**3 + 1/420*f**5 + c*f**2. Determine u, given that w(u) = 0.
-1, 1
Let m(n) be the first derivative of n**6/2 - 114*n**5/5 + 51*n**4/2 + 116*n**3 - 561*n**2/2 + 222*n + 4731. What is k in m(k) = 0?
-2, 1, 37
Suppose -15*t + 4 = -56. Suppose t*y - 32*d - 25 = -29*d, y - d = 7. Solve 0*k - 28/11*k**y + 0 + 0*k**2 + 6/11*k**5 + 16/11*k**3 = 0 for k.
0, 2/3, 4
Suppose 37 + 29 = 23*a - 3. Let p(d) be the first derivative of -1/16*d**4 + 1/4*d**a - 1/20*d**5 + 1/8*d**2 + 12 - 1/2*d. Factor p(j).
-(j - 1)**2*(j + 1)*(j + 2)/4
Factor 0 + 76567*x**3 - 25*x**2 + 0 - 76568*x**3 - 46*x.
-x*(x + 2)*(x + 23)
Let n = -9377 + 9383. Let y(p) be the first derivative of 5/2*p**2 + n*p - 2/3*p**3 - 1/4*p**4 + 3. Find a such that y(a) = 0.
-3, -1, 2
Let r(c) be the first derivative of 2*c**3/39 - 38*c**2/13 + 210*c/13 + 214. Let r(n) = 0. Calculate n.
3, 35
Let n(v) be the third derivative of v**6/24 - 7*v**5/3 - 85*v**4/2 - 2330*v**2. What is i in n(i) = 0?
-6, 0, 34
Let i(q) = 2*q - 1. Let l(w) = w**2 - 10*w - 3. Let f(u) = -2*u. Let r(n) = -5*f(n) + l(n). Let d(v) = 2*i(v) + r(v). Determine g, given that d(g) = 0.
-5, 1
Let w(c) be the first derivative of c**6/2340 - 8*c**5/195 - 11*c**4/52 - 3*c**3 - 5*c + 177. Let u(j) be the third derivative of w(j). Factor u(p).
2*(p - 33)*(p + 1)/13
Suppose -100*j + 293 - 93 = -400. Let z(a) be the second derivative of -1/15*a**4 + 0*a**3 + j*a + 0*a**2 - 1/25*a**5 + 0. Factor z(n).
-4*n**2*(n + 1)/5
Determine f so that 6/5*f**3 - 6*f**2 + 36/5*f + 0 = 0.
0, 2, 3
Let m(d) be the first derivative of -1/9*d**3 + 0*d - 54 - 11/2*d**2. Find b such that m(b) = 0.
-33, 0
Let b(o) = -o**2 - 17*o + 3122. Let n be b(-65). Let a(w) be the second derivative of 0*w**2 + n*w - 5/66*w**4 - 3/110*w**5 + 2/33*w**3 + 0. Solve a(d) = 0.
-2, 0, 1/3
Let q(a) be the first derivative of a**5/15 - 32*a**4 + 6144*a**3 + 123*a**2 - 238. Let x(w) be the second derivative of q(w). Factor x(k).
4*(k - 96)**2
Suppose -8*n - 30*n - 1530 + 5*n**2 + 7*n**2 - 7*n**2 - 717*n = 0. Calculate n.
-2, 153
Let -1/9*f**2 - 29/9 - 10/3*f = 0. Calculate f.
-29, -1
Let u be (-4 - -1)*((-20)/(-6))/(-5). Factor 28*h - 4*h**3 - 9093 + 24*h**u + 9093.
-4*h*(h - 7)*(h + 1)
Let k(s) be the third derivative of 4/3*s**3 + 0*s + 1849/30*s**5 - 43/3*s**4 - 5*s**2 + 0. Find g, given that k(g) = 0.
2/43
Let x(q) be the third derivative of 0*q**4 - 5/72*q**6 + 0*q - 28*q**2 - 2/63*q**7 + 0*q**3 - 5/1008*q**8 + 0 - 1/18*q**5. Let x(h) = 0. Calculate h.
-2, -1, 0
Factor -8680 + 898 - 200*q + 8*q**2 + 1162 - 3380 - 9*q**2.
-(q + 100)**2
Let m(x) be the first derivative of -12*x**6 + 8448*x**5/5 - 122473*x**4/2 - 56562*x**3 + 38409*x**2 - 6962*x + 918. Suppose m(i) = 0. Calculate i.
-1, 1/6, 59
Suppose -4*s = -97*i + 92*i, 3*s - i = 11. Suppose -s*x - 2*o = -23, 31 = 5*x - o + 5*o. Suppose -49/3 + 1/3*l**x + 13/3*l**2 + 35/3*l = 0. What is l?
-7, 1
Let q(o) be the third derivative of o**8/336 - o**7/30 + o**6/8 - o**5/12 - 2*o**4/3 + 2*o**3 - 110*o**2. Find m such that q(m) = 0.
-1, 1, 2, 3
Let d(a) be the third derivative of 1/588*a**8 + 2/105*a**7 - 9/14*a**4 + 0*a + 17 + 1/21*a**6 - 6/35*a**5 + 3*a**2 + 18/7*a**3. Solve d(z) = 0 for z.
-3, 1
Let h(d) = d**3 - 11*d**2 - 2*d + 2. Let y be h(11). Let o(z) = -z**2 - 18*z + 42. Let b be o(y). Factor -3*w**4 - 5*w**3 + 7*w**3 - 3*w**b + 4*w**3.
-3*w**2*(w - 1)**2
Let d = -172 + 179. Let o(z) = -z**2 + 27*z - 22. Let k(u) = 2*u**2 - 53*u + 44. Let x(r) = d*o(r) + 4*k(r). Factor x(b).
(b - 22)*(b - 1)
Find b such that 1226*b**3 + 2048385*b - 3696*b**2 + 2048378*b + 2*b**4 - 4096755*b + 4928 = 0.
-616, -1, 2
Factor 6000 + 22412 + 3*k**3 + 0*k**3 - 3264*k + 30*k**2 + 3844.
3*(k - 16)**2*(k + 42)
Let g(v) be the third derivative of -v**8/1008 + v**7/315 + 7*v**6/120 + 11*v**5/90 - 5*v**4/18 - 4*v**3/3 - 2*v**2 + 39*v - 15. Find y, given that g(y) = 0.
-2, -1, 1, 6
Suppose -36 = -29*r + 11*r. Factor -2*a**3 + 4*a**5 + 63*a**2 - 36*a**4 - 27*a**r - 2*a**3.
4*a**2*(a - 9)*(a - 1)*(a + 1)
Suppose -3*c = -5*r + 65, 0 = -1334*c + 1329*c - 2*r + 26. Suppose 9/2*u + c + 3/4*u**4 - 3/2*u**3 - 15/4*u**2 = 0. Calculate u.
-2, 0, 1, 3
Suppose f - 3*s = 321, 0 = -4*f + s + 453 + 787. Suppose 7*u + 309 = f. Find r, given that -2/5*r - 8/5*r**2 - 12/5*r**3 + u - 8/5*r**4 - 2/5*r**5 = 0.
-1, 0
Let r(v) be the first derivative of 30/7*v**2 - 19/7*v**3 + 0*v - 3/28*v**4 - 103. Factor r(m).
-3*m*(m - 1)*(m + 20)/7
Find x, given that -21*x**2 - 18*x - 81 - 639 - 294*x - 56*x**3 + 106*x**3 - 47*x**3 = 0.
-4, 15
Let l