2. Suppose v(i) = 0. Calculate i.
-2, 0, 2
Factor 22/3*v**2 + 128/3 - 2/3*v**3 + 152/3*v.
-2*(v - 16)*(v + 1)*(v + 4)/3
Let r(f) be the first derivative of 20*f**3/3 - 1015*f**2/2 - 255*f + 1112. Suppose r(l) = 0. What is l?
-1/4, 51
Let x(k) = -10*k + 36. Let b be x(3). Let h(l) be the first derivative of 3/4*l**4 + 4*l**3 - 7 + b*l + 15/2*l**2. Factor h(m).
3*(m + 1)**2*(m + 2)
Let c(s) be the second derivative of -20*s**2 + 0 + 1/3*s**4 + 175*s - 2*s**3. Factor c(h).
4*(h - 5)*(h + 2)
Solve -1/3*j**2 + 2747/3*j + 916 = 0.
-1, 2748
Let l(j) be the second derivative of 25*j**4/6 - 112*j**3/3 - 32*j**2 - j + 33. Let g(m) = -17*m**2 + 74*m + 21. Let b(x) = 8*g(x) + 3*l(x). Solve b(f) = 0.
-2/7, 6
Let k = 203/1485 + -38/1485. Factor 0 - 1/9*i**4 - 1/9*i**3 + k*i**2 + 1/9*i.
-i*(i - 1)*(i + 1)**2/9
Suppose 1263 = 21*w + 318. Factor 73 + w*r - 24*r**3 + 72*r**2 - 141*r - 25 + 11*r**3 + 3*r**4 - 11*r**3.
3*(r - 2)**4
Let -92/9 - 4/9*r**4 + 77/9*r**3 + 280/9*r + 37*r**2 = 0. What is r?
-2, 1/4, 23
Let x(c) be the third derivative of c**7/1050 + c**6/100 - 2*c**5/25 + 13*c**4/60 - 3*c**3/10 - c**2 + 821*c. Solve x(a) = 0 for a.
-9, 1
Let t be 0 - (2 - (4 - -1)). Factor -251*f - 16*f**2 + 5*f**3 - f**t + 251*f.
4*f**2*(f - 4)
Let p(k) be the second derivative of k**4/9 - 19*k**3/18 - 5*k**2/6 - 13*k - 21. Factor p(i).
(i - 5)*(4*i + 1)/3
Let n be 1149/(1 + (-3249)/90). Let l = 296/9 + n. Let l*d**2 + 4/13*d - 6/13*d**3 + 0 = 0. Calculate d.
-2/3, 0, 1
Suppose 26*z - 2603 - 5457 = 0. Let i be z/80 - (-4*3)/(-4). Factor 2*j**3 + i*j**4 + 1 - 45/8*j**2 + 7/4*j.
(j - 1)**2*(j + 4)*(7*j + 2)/8
Factor -54*w**2 + 1/2*w**3 + 213/2*w - 53.
(w - 106)*(w - 1)**2/2
Let q(z) be the second derivative of z**6/3 + 21*z**5/4 + 25*z**4/12 - 40*z**3 + 50*z**2 - 19*z - 73. Suppose q(a) = 0. What is a?
-10, -2, 1/2, 1
Factor -26/3 - 2/15*t**2 + 44/5*t.
-2*(t - 65)*(t - 1)/15
Factor -352836*z - 2/9*z**4 + 0 + 3560/9*z**3 - 175626*z**2.
-2*z*(z - 891)**2*(z + 2)/9
Let b(q) = 3*q**3 - 34*q**2 - 14*q - 20. Let s be b(12). Suppose -6 - 4 = -5*r. Factor -3*z**2 - 5*z**2 + 6*z**2 + 40*z - 2*z**r - s.
-4*(z - 5)**2
Let c(h) be the third derivative of -h**8/11760 + h**7/1680 + h**6/112 + 71*h**5/15 + 58*h**2. Let s(p) be the third derivative of c(p). Solve s(a) = 0 for a.
-5/4, 3
Suppose -19*p + 16*p + 15 = 0. Factor x**5 - 6*x**5 + 7*x**p.
2*x**5
Let z = -176 + 181. What is f in 25*f - z*f**2 + 30*f - 14 - 37 + 1 = 0?
1, 10
Let g(p) be the second derivative of 1/2*p**2 + 1/24*p**4 + 0 - 23*p - 1/4*p**3. Factor g(j).
(j - 2)*(j - 1)/2
Factor 2/7*i**2 + 2/7*i**3 - 30 - 82/7*i.
2*(i - 7)*(i + 3)*(i + 5)/7
Let n be (91/(-4))/(1/(-4)). Let s = -14 + 16. Let 12 + n*y**2 + 0*y - 94*y**s - 9*y = 0. Calculate y.
-4, 1
Let p(k) = -5*k**3 + 12*k**2 + 98*k + 126. Let d(m) = 11*m**3 - 24*m**2 - 196*m - 250. Let u(s) = 6*d(s) + 14*p(s). Determine n so that u(n) = 0.
-3, -2, 11
Suppose -2688 = -4*w + 2064. Suppose -25*l**2 + 15*l + 1188 - w - 140*l**3 = 0. Calculate l.
-3/7, 0, 1/4
Let w(f) be the third derivative of f**6/72 - f**5/4 - 31*f**3/6 - f**2 - 10*f. Let k(p) be the first derivative of w(p). Factor k(s).
5*s*(s - 6)
Let m = -47279 + 47279. Factor -3/4*q - 1/4*q**2 + m.
-q*(q + 3)/4
Let j(i) be the third derivative of i**7/490 - 3*i**6/20 + 68*i**5/35 - 97*i**2 - 71*i. Factor j(d).
3*d**2*(d - 34)*(d - 8)/7
Let k(z) be the third derivative of -z**8/168 + 26*z**7/105 + 7*z**6/15 - 13*z**5/15 - 9*z**4/4 + 1016*z**2. What is j in k(j) = 0?
-1, 0, 1, 27
Let v be ((-57)/1596)/(170/(-40) - -4). Find o, given that -2/7*o + 1/7*o**2 + 0 + v*o**3 = 0.
-2, 0, 1
Let x(k) = -2*k**3 - 4*k**2 + 2*k + 8. Let c be x(-2). Factor -32*j**4 - 3*j**3 + 3*j**2 + 3*j**5 + 67*j**c - 38*j**4.
3*j**2*(j - 1)**2*(j + 1)
Let p = -840613 - -840615. Determine l, given that -9/7*l + 6/7*l**p + 1/7*l**3 - 2 = 0.
-7, -1, 2
Let l(a) be the first derivative of 5*a**6/6 - 26*a**5 + 290*a**4 - 4240*a**3/3 + 3400*a**2 - 4000*a - 3428. Factor l(s).
5*(s - 10)**2*(s - 2)**3
Let h = -35 + 41. Suppose 0 = -s + 6 + h. Find g, given that s*g**3 + 8*g**4 + 2*g + 0*g**3 - 18*g - 16*g**2 - 4*g**5 = 0.
-1, 0, 2
Let n = 2 + -2. Let a = -349 - -352. Factor n + 141*g**a - 151*g**3 - 6*g - 2 + 18*g**2.
-2*(g - 1)**2*(5*g + 1)
Let a(u) = -21*u**2 - u**2 - u**3 + 184*u - 113*u - 108*u + 40 + 20. Let b be a(-20). Determine x, given that b - 1/4*x**2 + 1/2*x = 0.
0, 2
Let q = 340321 + -340257. Find g such that 128/3 + 2/3*g**4 + 8*g**3 + q*g + 104/3*g**2 = 0.
-4, -2
Suppose -80*g - 13 = -67*g. Let m(s) = -s**2 + 1. Let f(v) = 4*v**4 + 3*v**3 + 3*v**2 - 4. Let p(a) = g*f(a) - 4*m(a). Determine r, given that p(r) = 0.
-1, 0, 1/4
Let k(s) be the first derivative of -s**6/1620 - s**5/36 - 13*s**4/54 - 22*s**3 - 290. Let d(m) be the third derivative of k(m). Factor d(x).
-2*(x + 2)*(x + 13)/9
Let p(c) be the third derivative of -c**6/300 - 7*c**5/75 - 59*c**4/60 - 14*c**3/3 - 410*c**2. Find d such that p(d) = 0.
-7, -5, -2
Factor 23*l**2 - 17*l**2 - 443 - 78*l - 3*l**2 - 1237.
3*(l - 40)*(l + 14)
Solve -1125 + 5*l**2 + 197*l - 82*l + 204*l - 5*l**3 + 6*l = 0.
-9, 5
Let x be (-5)/1 + 36 + -27. Factor 174 - 2*h - x*h**2 + 2*h**4 + 29*h - 6*h**3 - 190 - 3*h.
2*(h - 2)**2*(h - 1)*(h + 2)
Let 84/5 + 82/5*f - 2/5*f**2 = 0. Calculate f.
-1, 42
Let p(z) be the second derivative of z**6/15 + 272*z**5/5 + 271*z**4/3 - 544*z**3/3 - 543*z**2 - 177*z - 6. Factor p(m).
2*(m - 1)*(m + 1)**2*(m + 543)
Let m be 2/(-5) + -9*95/(-75). Suppose -169 + 709 = 15*g. Let -1 - 2*l**2 + 2*l**2 - g*l - 15*l**2 - m = 0. What is l?
-2, -2/5
Let x(k) be the second derivative of 5*k**4/3 - 134*k**3 - 328*k**2 + 9*k - 47. Factor x(p).
4*(p - 41)*(5*p + 4)
Let t(p) = -4*p + 101. Let w be t(23). Suppose 0*m = w*m. Determine b so that -1/3*b**4 + 0*b**2 + m*b - 1/3*b**3 + 0 = 0.
-1, 0
Let f(z) = 23*z**3 + 53*z**2 + 293*z + 418. Let q(j) = 33*j**3 + 79*j**2 + 440*j + 628. Let l(b) = 10*f(b) - 7*q(b). Solve l(c) = 0.
-12, -9, -2
Suppose -172/9*q**3 + 376 + 4/9*q**4 - 764/9*q**2 + 164/3*q = 0. Calculate q.
-3, 2, 47
Let y be (-3268)/(-1720) - 1/(-10). Let i(l) be the first derivative of 2/21*l**3 - 19 + 0*l**y + 0*l + 1/14*l**4. Solve i(t) = 0 for t.
-1, 0
Suppose -12*g + 93 = 19*g. Suppose 2*t = 11*z - 8*z + 4, g*z = 0. Factor -2/9*b**t - 10/9*b - 2/3 + 2/9*b**3.
2*(b - 3)*(b + 1)**2/9
Let d = -136 + 15. Let l = 229 + d. Factor 80*p - 243*p**2 - 64 - 45*p**2 + l*p**4 + 176*p.
4*(p + 2)*(3*p - 2)**3
Let y(q) = -124*q**2 - 3108*q - 2888. Let o(p) = -13*p**2 - 327*p - 304. Let a(b) = -48*o(b) + 5*y(b). Determine n, given that a(n) = 0.
-38, -1
Suppose 1/2*g**2 - 91 - 89/2*g = 0. What is g?
-2, 91
Let i(k) = 13*k**3 - 27*k**2 + 45*k - 1. Let d(c) = 6*c**3 - 14*c**2 + 22*c - 2. Let u(r) = 5*d(r) - 2*i(r). Factor u(v).
4*(v - 2)*(v - 1)**2
Solve 8*b**3 - 24*b**2 - 6*b**3 - 7*b**2 + 37*b + 2*b**2 - 25969 + 25995 = 0 for b.
-1/2, 2, 13
Suppose 7*u**4 + 5*u**2 + 0 + 0*u - 77/6*u**3 + 5/6*u**5 = 0. What is u?
-10, 0, 3/5, 1
Let v(o) = 1538*o**2 + 1826*o - 406802. Let b(n) = 70*n**2 + n. Let t(s) = -44*b(s) + 2*v(s). Solve t(z) = 0.
451
Let f(g) be the third derivative of 7*g**6/120 + 47*g**5/30 + 287*g**4/24 - 98*g**3/3 + 407*g**2. Determine a, given that f(a) = 0.
-7, 4/7
Let d(b) be the second derivative of b**6/840 - 11*b**5/420 - 25*b**4/168 - 13*b**3/42 + 29*b**2 + b - 1. Let h(v) be the first derivative of d(v). Factor h(a).
(a - 13)*(a + 1)**2/7
Let b(j) be the second derivative of -j**5/5 - 15*j**4 - 250*j**3 - 1750*j**2 + 1064*j - 2. Determine h so that b(h) = 0.
-35, -5
Let j(x) be the first derivative of 1/9*x**3 - 1/45*x**5 + 1/18*x**2 - 1/36*x**4 + 74 - 2/9*x. Factor j(t).
-(t - 1)**2*(t + 1)*(t + 2)/9
Suppose 4*n - 4*w - 28 = 0, 0*n + 2*n + 3*w - 9 = 0. Suppose -c = 5*z - 11, -n*c = -z - 2*c - 2. Factor 9/2*d**3 - 21/2*d**z + 15/2*d - 3/2.
3*(d - 1)**2*(3*d - 1)/2
Let 5*g**4 + 792 + 43*g**4 + 144*g**3 - 50*g**4 - 790*g**2 + 22*g - 166*g = 0. What is g?
-1, 1, 6, 66
Factor -508/3*n**3 - 172*n + 0 - 1028/3*n**2 + 4/3*n**4.
4*n*(n - 129)*(n + 1)**2/3
Let d be -6*1*3/(-6). Let a = 2995 + -2983. Let -13*f - 7*f + f - a - 4*f**2 + d*f = 0. What is f?
-3, -1
Suppose -2*u + 14 = -2*h, -9 = -h - 4*u + u. Let t be 9 + (h - 290/50). Factor 16/5*z**4 + 33/5*z**2 - 8*z**3 + t - 2*z.
(z 