actor u(i).
-4*(i + 1)*(5*i + 3)
Let k = -2014321/6 - -337333. Let n = k + -1612. What is h in -n*h - 1 - 1/6*h**2 = 0?
-3, -2
Let r(y) = y**5 - y**4 + 3*y**3 - y**2 - 2*y + 2. Let c(f) = 10*f**5 - 10*f**4 - 25*f**3 + 55*f**2 - 10*f + 10. Let x(h) = c(h) - 5*r(h). Factor x(z).
5*z**2*(z - 2)**2*(z + 3)
Let a(s) be the third derivative of s**7/504 - 5*s**6/72 + 25*s**5/24 + 79*s**4/24 - 91*s**2. Let b(i) be the second derivative of a(i). Factor b(m).
5*(m - 5)**2
Let h(x) = 8*x**2 - 2466*x + 6. Let c(s) = -s**2 + 7*s - 2. Let b(y) = -3*c(y) - h(y). Determine r, given that b(r) = 0.
0, 489
Suppose 26*h**2 - 71*h**4 - 2420*h**3 + 30*h**2 - 12*h + 40*h**5 + 2377*h**3 + 0*h = 0. What is h?
-1, 0, 3/8, 2/5, 2
Let j be (-1)/(6 + (-5 + 4)/(9/60)). Factor 0*q**3 - q + 1/2*q**4 + 0 - j*q**2.
q*(q - 2)*(q + 1)**2/2
Suppose x = 3*o + 9, -17 = -11*x + 10*x + o. Suppose 3*r + 0*k = -5*k - 11, 3*k + x = 3*r. Factor 2/3*c + 4/3*c**2 - 1 - 1/3*c**4 - 2/3*c**r.
-(c - 1)**2*(c + 1)*(c + 3)/3
Let z(o) be the second derivative of -o**4/6 + 14*o**3 - 245*o**2 - 8*o + 186. Suppose z(g) = 0. Calculate g.
7, 35
Let f = 67633/6 - 11167. Let r = f + -209/2. Factor 2*s**2 - r*s**3 + 0 + 0*s.
-2*s**2*(s - 3)/3
Let g = -256567/5 + 51338. Determine a, given that -6/5 + 69*a**2 - g*a = 0.
-1/23, 2/5
Suppose 149*w - 142*w - 14 = 0. Factor -232*t**w + 160 - 20*t**3 - 592*t + 114*t + 174*t.
-4*(t + 2)*(t + 10)*(5*t - 2)
Let p(l) be the first derivative of -l**3/12 + 13*l**2/2 + 53*l/4 - 431. What is u in p(u) = 0?
-1, 53
Let a(c) be the third derivative of -2/21*c**3 + 1/105*c**5 + 0 + 0*c - 55*c**2 + 1/420*c**6 - 1/84*c**4. Factor a(x).
2*(x - 1)*(x + 1)*(x + 2)/7
Let j(r) = 4*r**5 - 34*r**4 + 150*r**3 - 192*r**2 - 10*r. Suppose -2*u + 157 - 155 = 0. Let d(k) = k**4 - k**3 - k. Let h(o) = u*j(o) - 10*d(o). Factor h(p).
4*p**2*(p - 4)**2*(p - 3)
Let j be -7*((-2)/(-26) - ((-181680)/10920 + (-3 - -20))). Factor 1/5*f**3 - 6/5*f**j - 3*f - 8/5.
(f - 8)*(f + 1)**2/5
Suppose 2*k**3 + 967 + 236*k**2 + 41 + 2*k**3 + 470*k - 319*k - 1143*k = 0. What is k?
-63, 2
Let r(h) be the third derivative of h**6/30 + 19*h**5/15 + 25*h**4/3 + 64*h**3/3 + 1320*h**2. Factor r(a).
4*(a + 1)*(a + 2)*(a + 16)
Let r(o) = -13*o**2 + 5*o + 1 - 1 - 7. Suppose 53 + 325 = 27*h. Let z(c) = -4*c**2 + 2*c - 2. Let m(i) = h*z(i) - 4*r(i). Suppose m(a) = 0. Calculate a.
0, 2
Let d = -7572 - -7577. Let o(u) be the third derivative of -23*u**2 - 1/24*u**4 + 0 + 0*u + 1/60*u**d + 0*u**3. Suppose o(i) = 0. What is i?
0, 1
Suppose -201*v + 213*v = 264. Let w(f) be the second derivative of -3/4*f**2 + v*f + 1/12*f**3 + 0 + 5/72*f**4 + 1/120*f**5. Let w(s) = 0. Calculate s.
-3, 1
Let n(m) be the third derivative of -m**7/4410 - 2*m**6/315 + 5*m**4/4 + m**3/6 - 74*m**2. Let g(b) be the second derivative of n(b). Factor g(z).
-4*z*(z + 8)/7
Let r(m) be the third derivative of -m**6/240 - 2*m**5/15 - 5*m**4/4 + 5351*m**2. Let r(c) = 0. What is c?
-10, -6, 0
Let p(y) be the first derivative of 52/5*y**3 - 84/5*y**2 - 19/10*y**4 + 128 + 16/5*y. Solve p(z) = 0 for z.
2/19, 2
Suppose 35*o = 30*o - 10. Let k be (-2)/((-4)/71) + (-1)/o. Factor -10*f**3 - 581 + 599 + 75*f + k*f**2 - 11*f**3.
-3*(f - 3)*(f + 1)*(7*f + 2)
What is d in -20/3 - 6845*d**3 + 680/3*d - 4625/3*d**2 = 0?
-1/3, 2/37
Let b(v) = 6*v**2 + 49*v + 78. Let q be b(-6). What is g in q - 4*g - 4/7*g**2 = 0?
-7, 0
Factor -24*q**2 - 542*q + 462*q - 3 + 11*q**3 + 0*q**2 + 3.
q*(q - 4)*(11*q + 20)
Let b(j) = -13*j**5 - 3*j**4 + 241*j**3 + 407*j**2 + 216*j - 8. Let c(s) = s**5 + s**4 - 2*s**3 + s**2 - 2*s + 1. Let y(u) = -b(u) - 8*c(u). Factor y(f).
5*f*(f - 8)*(f + 1)**2*(f + 5)
Let n(j) be the third derivative of -1/120*j**6 + 0 + 3/8*j**4 + 2/15*j**5 - 111*j**2 + 0*j**3 + 0*j. Factor n(z).
-z*(z - 9)*(z + 1)
Suppose 18*d - 259 + 43 = 0. Let j(f) = -59*f + 712. Let m be j(d). What is y in -2/7*y**5 + 0 + 0*y - 10/7*y**m - 6/7*y**2 - 2*y**3 = 0?
-3, -1, 0
Let v = 8 - -12. Let q = v - 15. Solve q*h**2 + 2*h - 20 + 0 + 13*h = 0.
-4, 1
Let l(n) = 48*n**3 + 294*n**2 + 1200*n + 1440. Let t(a) = 59*a**2 + 192 + 240*a + 194 + 10*a**3 - 98. Let d(h) = 3*l(h) - 14*t(h). Find k such that d(k) = 0.
-6, -2
Let z(o) be the first derivative of 2*o**5 + 35*o**4/4 - 20*o**3/3 + 3551. Factor z(a).
5*a**2*(a + 4)*(2*a - 1)
Let h(f) = f**3 - 1. Let s(a) = 2*a + 2. Let i be s(0). Let r(q) = 9 + q**2 - 3*q**2 - 3*q**i - 4*q**2. Let o(y) = 3*h(y) - r(y). Suppose o(b) = 0. What is b?
-2, 1
Let k be 8/(2352/(-2765)) + (-2)/3. Let j = k + 21/2. Find o such that 6/7*o - j*o**2 - 3/7 = 0.
1
Let s = 2694 + -1570. Let t = s + -7844/7. Find i, given that t*i + 3*i**2 + 3/7*i**3 - 48/7 = 0.
-4, 1
Let y(a) = -5*a**3 - 3*a**2 - 19*a - 16. Let c be y(-1). Let q(o) be the third derivative of 0 + 0*o - 2/3*o**3 - 1/30*o**c - 1/4*o**4 - 16*o**2. Factor q(h).
-2*(h + 1)*(h + 2)
Let w(n) = -7*n**4 - 77*n**3 - 89*n**2 - 21*n + 2. Let x(c) = 3*c + 5. Let t be x(-1). Let v(i) = i**4 - i**3 - i**2 + 1. Let o(z) = t*v(z) - w(z). Factor o(a).
3*a*(a + 1)*(a + 7)*(3*a + 1)
Find t, given that -8/19*t - 46/19*t**3 + 0 - 96/19*t**2 = 0.
-2, -2/23, 0
Suppose -128 = -3*p + 4*i - 6*i, -2*p - 4*i = -88. Determine w, given that 181*w - 25*w + 4*w**2 - 64 - p*w - 54*w = 0.
-16, 1
Let 4*c + 337*c**4 + 16 + 314*c**4 - 7*c**3 - 12*c**2 - 652*c**4 = 0. Calculate c.
-4, -2, 1
Let r be ((-6)/(-4) - (-9)/(-12))*(108/(-27) - -45). Find w such that r*w**2 + 3*w**5 + 47/4*w + 71/4*w**4 + 3/2 + 141/4*w**3 = 0.
-3, -1, -2/3, -1/4
Let v(q) be the third derivative of 5*q**9/3024 - q**7/84 + q**5/24 - 16*q**3/3 - 8*q**2. Let x(c) be the first derivative of v(c). Factor x(r).
5*r*(r - 1)**2*(r + 1)**2
Let z be (-2)/(2 + -5 + 2). Suppose 4*h = 5*p + z - 32, h + 5 = 0. Factor -18*f - 52*f**3 - 10*f**p + 72*f**3 + 10 + 3*f + 0 - 5*f**5.
-5*(f - 1)**3*(f + 1)*(f + 2)
Let 2/7*f**2 - 548/7 + 270/7*f = 0. What is f?
-137, 2
Let j(a) be the first derivative of -117 + 1296*a + 4/3*a**3 - 72*a**2. Let j(m) = 0. Calculate m.
18
Suppose 136*m - 154*m = -198. Let -5 + 7 + 25 - 3*w**2 + m + 7 + 6*w = 0. What is w?
-3, 5
Let n be 39/468*(2 - 8/20). Let c(j) be the third derivative of 0*j - 1/150*j**5 + 0 + n*j**3 - 13*j**2 + 1/60*j**4. Factor c(v).
-2*(v - 2)*(v + 1)/5
Let d(k) be the first derivative of 5/3*k**3 - 3*k**2 + 0*k - 128 - 1/4*k**4. Factor d(s).
-s*(s - 3)*(s - 2)
Find u such that -15/2*u**3 + 15/2*u - 1/2*u**4 + 77/2*u**2 - 38 = 0.
-19, -1, 1, 4
Let j(s) be the third derivative of 2*s**2 + 0*s - 1/60*s**5 - 1/4*s**4 - 4/3*s**3 - 35. Find p, given that j(p) = 0.
-4, -2
Let y(z) be the first derivative of z**6/40 - z**5/5 + 5*z**4/8 - z**3 - 3*z**2/2 + 11*z + 125. Let g(x) be the second derivative of y(x). Factor g(t).
3*(t - 2)*(t - 1)**2
Let a(h) be the third derivative of -h**5/35 - 209*h**4/42 + 20*h**3/3 + 717*h**2. Factor a(v).
-4*(v + 70)*(3*v - 1)/7
Let u(c) be the second derivative of -50*c - 2/13*c**2 + 0 - 1/78*c**4 - 1/13*c**3. Factor u(a).
-2*(a + 1)*(a + 2)/13
Let c be (-8)/(-6) + (-435)/(-45). Let t(k) = -14*k**3 - 100*k**2 - 125*k - 39. Let v(u) = 3*u**3 + 20*u**2 + 25*u + 8. Let z(y) = c*v(y) + 2*t(y). Factor z(m).
5*(m + 1)**2*(m + 2)
Suppose 0 = -23*b + 42*b - 418. Suppose 135 - 91 = b*y. Factor 8/3 + 110/3*h**y - 25*h**3 - 52/3*h.
-(3*h - 2)*(5*h - 2)**2/3
Let o be 4/(-6) + (-30815)/60*1. Let y = 517 + o. Find v, given that 0 - 19/4*v**2 - v - y*v**3 + v**4 = 0.
-1, -1/4, 0, 4
Suppose -4*r + m + 2*m = -14, 25 = 3*r + 5*m. Suppose 1 = -r*l + i + 7, 4*l - 3*i = -4. What is j in 20*j**2 - 5*j**l + 39*j - 29*j - 5*j**4 = 0?
-1, 0, 2
Let z = -27 - -12. Let a = 21 + z. Suppose 19*x**4 - 3*x**5 - 34*x**4 + 21*x**4 - a*x**2 + 3*x**3 = 0. Calculate x.
-1, 0, 1, 2
Suppose 0 - 1/4*v**4 - 3/4*v**3 + 0*v**2 + v = 0. Calculate v.
-2, 0, 1
Let c(n) = -92*n**2 - 1264*n - 3272. Let p(l) = -l**3 + l**2 - l + 32. Let s(i) = c(i) - 4*p(i). Factor s(x).
4*(x - 34)*(x + 5)**2
Factor 158*m**2 - 148*m + 274*m**3 - 276*m**3 - 102*m + 124 - 30*m**2.
-2*(m - 62)*(m - 1)**2
Let c(s) be the third derivative of s**6/210 - 26*s**5/105 - 9*s**4/14 - 3796*s**2. Find w such that c(w) = 0.
-1, 0, 27
Let n = -554 - -555. Let p be 187/714 + n/6. What is i in 0 + p*i**2 - 3/7*i = 0?
0, 1
Suppose 902*y = 1012*y. Suppose -2*l = -0*l. Suppose l + 3/2*u**5