11007 - -11010. Let c(s) be the first derivative of -267/10*s**5 - 27/2*s**4 - 21/2*s**6 + 18*s**2 + 6*s + 31/2*s**u - 9. Solve c(w) = 0 for w.
-1, -1/2, -2/7, 2/3
Let b be 213/30 + -2 + (-6)/10. Let h(o) be the first derivative of -12*o - b*o**4 + 4 - 3/5*o**5 - 13*o**3 - 18*o**2. Determine l so that h(l) = 0.
-2, -1
Let x = 2/6155 + 98462/55395. Let k(j) be the first derivative of x*j**3 + 2/45*j**5 + 0*j + 19 + 16/9*j**2 + 1/2*j**4. Find i such that k(i) = 0.
-4, -1, 0
Let q(r) be the third derivative of r**6/30 - 22*r**5/15 + 70*r**4/3 - 400*r**3/3 - 26*r**2 + r - 4. What is t in q(t) = 0?
2, 10
Let s(x) = x**3 + 14*x**2 - x + 30. Let g be s(-14). Factor 24 + 20*o**2 + o**3 - 6*o**3 + o**3 + 4*o - g*o**2.
-4*(o - 1)*(o + 1)*(o + 6)
Let f be (-105)/(-231) + (9299/935 - 10). Let -f*x**2 + 0 - 6*x = 0. Calculate x.
-15, 0
Suppose 12 - 79/3*i**2 - 3*i**3 - 48*i = 0. What is i?
-6, -3, 2/9
Let m(x) = x**2 + x. Let s(t) = -15*t + 16. Let w(q) = -m(q) - s(q). Let f be w(12). What is k in 2*k**2 + 2*k**2 + 4*k - 8 + f = 0?
-1, 0
Let r(g) be the third derivative of 0 - 3/2*g**3 + 1/2*g**4 - 2*g - 1/20*g**5 + 4*g**2. Suppose r(c) = 0. What is c?
1, 3
Let s(k) = -9*k**2 - 3*k. Let c(z) be the first derivative of -2/3*z**3 - 1/2*z**2 + 0*z + 36. Let b(p) = -3*c(p) + s(p). Factor b(m).
-3*m**2
Suppose 0 = 7*p + 79 - 9. Let z(t) = 5*t + 52. Let q be z(p). Let 4*n**2 + q*n - 2*n**3 + n**3 - n - 5*n = 0. What is n?
0, 2
Let s(j) be the first derivative of 8/3*j**3 + 1 + 14*j**2 - 16*j. Factor s(m).
4*(m + 4)*(2*m - 1)
Let g = -107 - -30. Let r = -72 - g. Find c, given that -2*c**3 - 2 - r*c + 11*c - 2 = 0.
-2, 1
Suppose -4*m = -a - a, 4*a - 3*m - 5 = 0. Find b, given that 121*b**3 - 65*b**3 - 20*b - a*b**5 - 3*b**5 - 20*b**2 + 10*b**4 - 41*b**3 = 0.
-1, 0, 2
Suppose 2 = 3*s - 4. Suppose -n - 30 = -c + 4*n, n = -4*c + 78. Let -7*a - 4*a + c*a + 2*a**s - 7*a = 0. What is a?
-1, 0
Factor -200/7*a + 416/7 - 4/7*a**2.
-4*(a - 2)*(a + 52)/7
Let k(f) be the second derivative of -1/8*f**4 - 8*f**3 + 0 + 99/4*f**2 - 32*f. Factor k(s).
-3*(s - 1)*(s + 33)/2
Suppose -5 - 14*i**3 - 95*i**2 + 11/2*i**5 - 127/2*i + 28*i**4 = 0. What is i?
-5, -1, -1/11, 2
Let a be ((-1428)/(-11900))/(1/25). Solve 0*i + 0 - i**2 - 1/4*i**a = 0 for i.
-4, 0
Let l(p) = -10*p**2 - 215*p - 1189. Let z(v) = -7*v**2 + v - 1. Let f(j) = l(j) - z(j). Factor f(h).
-3*(h + 6)*(h + 66)
Suppose 2*r**2 - 23/3*r - 1/9*r**3 + 52/9 = 0. Calculate r.
1, 4, 13
Let q(p) = 9*p - 165. Let x be q(22). Suppose w + 5*o = 27, -4*w + x = 6*o - o. Factor -2/5*c**4 - 48/5*c**w - 32/5 - 64/5*c - 16/5*c**3.
-2*(c + 2)**4/5
Factor -156 + 18*f**2 - 52*f**2 + 17*f**2 + 16*f**2 - 316*f - 7*f**2.
-4*(f + 39)*(2*f + 1)
Let n(d) be the third derivative of d**5/120 + 1015*d**4/24 + 1030225*d**3/12 - 8325*d**2. Factor n(g).
(g + 1015)**2/2
Let t = 92253 + -92250. Let n = 0 - 0. Factor 0*b - 1/7*b**2 - 1/7*b**t + n.
-b**2*(b + 1)/7
Let p(y) = -12*y**3 - 347*y**2 - 15125*y - 42396. Let c(u) = -7*u**3 - 174*u**2 - 7563*u - 21204. Let v(s) = -5*c(s) + 3*p(s). Factor v(z).
-(z + 3)*(z + 84)**2
Let u(m) = -9*m**2 - 155*m + 1302. Let c(n) = 3*n**2 - n - 3. Let h(y) = -4*c(y) - u(y). Solve h(x) = 0.
10, 43
Let z(r) be the first derivative of 2*r**5/5 + 3*r**4 - 24*r**3 + 40*r**2 + 290. Factor z(p).
2*p*(p - 2)**2*(p + 10)
Let y be 10/(-2) - (52 + -88). Let n(c) be the third derivative of 0 + 0*c - 1/240*c**6 + y*c**2 + 1/60*c**5 - 2/3*c**3 + 1/12*c**4. Find o such that n(o) = 0.
-2, 2
Let w = 2942 + -2936. Let q(s) be the second derivative of 0*s**2 + 1/21*s**4 - 2/105*s**w + 9*s + 0 + 0*s**3 + 0*s**5. Suppose q(r) = 0. What is r?
-1, 0, 1
Let n(f) be the second derivative of f**6/240 + 7*f**5/40 + 53*f**4/96 + 13*f**3/24 - 2392*f. Factor n(q).
q*(q + 1)**2*(q + 26)/8
Suppose 38*b + 5500 = 25*b + 57*b. Find l such that -b*l**4 + 400/3*l**3 + 16/3 + 48*l - 625/3*l**5 + 440/3*l**2 = 0.
-2/5, 1
Let q(v) be the first derivative of -v**6/10 + 24*v**5/25 - 33*v**4/10 + 28*v**3/5 - 51*v**2/10 + 12*v/5 - 1683. Factor q(c).
-3*(c - 4)*(c - 1)**4/5
Factor -79/3 - 238/9*l - 1/9*l**2.
-(l + 1)*(l + 237)/9
Let j be 140/44 - (-18)/(-99). Suppose 6 - n - 2*n**3 - 3*n + 5*n**j - 5*n = 0. Calculate n.
-2, 1
Let j(d) be the first derivative of -3*d**4/4 - 8*d**3 + 29*d**2 - 2*d - 8. Let n(f) = 2*f**3 + 26*f**2 - 57*f + 3. Let h(l) = 3*j(l) + 2*n(l). Factor h(c).
-5*c*(c - 2)*(c + 6)
Suppose -28 = -r - 2*n + 30, -4*r + 193 = -5*n. Let k = 54 - r. Find x, given that x**k - 23*x + 20 - x + x**4 - 4 - 38*x**3 + 44*x**3 = 0.
-4, 1
Let q be (-2 - 7/(-3))/((-2)/6). Let t(v) = -30*v - 5. Let m be t(q). Factor 15*b**4 + 4*b**5 - 7*b**4 - b**2 - m*b**2 - 12*b**3 + 16*b + 10*b**2.
4*b*(b - 1)**2*(b + 2)**2
Let y = 220738 + -882949/4. Factor 0 + 0*o + 9/4*o**3 + y*o**5 - 27/4*o**2 + 15/4*o**4.
3*o**2*(o - 1)*(o + 3)**2/4
Find z, given that 48/5*z + 432/5 - 4/5*z**2 = 0.
-6, 18
Let c(i) = -88*i**4 - 160*i**3 - 224*i**2 - 80*i + 6. Let t(w) = -9*w**4 + w**3 - w**2 - w - 1. Let k(q) = -c(q) + 6*t(q). Determine j so that k(j) = 0.
-3, -1, 2/17
Let c(n) be the first derivative of n**6/16 + 27*n**5/40 + 45*n**4/32 - 25*n**3/8 - 1458. Factor c(k).
3*k**2*(k - 1)*(k + 5)**2/8
Let g = -155062 - -155067. Factor 0*u**4 + 0*u + 2/21*u**g - 2/7*u**3 + 0 - 4/21*u**2.
2*u**2*(u - 2)*(u + 1)**2/21
Let m be (72806/354)/(-1 + 1 + 1). Let b = m - 205. Factor b*x**2 - 2/3*x**3 + 0*x + 0.
-2*x**2*(x - 1)/3
Let r(d) be the second derivative of d**6/20 - 21*d**5/40 + 3*d**4/2 - 257*d - 3. Determine g so that r(g) = 0.
0, 3, 4
Solve 8 - 1/6*x**2 - 1/3*x = 0 for x.
-8, 6
Let n be -22 + (8 - (-1290)/75). Factor -32/5 - 2/5*z**3 - 8*z - n*z**2.
-2*(z + 2)**2*(z + 4)/5
Let r be 7*-1*5/(65/(-13)). Let p be (12/(6 + -2) - r) + 7. Let 0*m - m**2 + 0*m**4 - 1/2*m**5 + 0 + 3/2*m**p = 0. Calculate m.
-2, 0, 1
Solve 3/5*o**2 - 273/5*o - 558/5 = 0.
-2, 93
Factor d**5 - 4946*d**3 + 27*d + 20*d**4 - 29*d**2 - 6*d**4 + 4998*d**3 + 95*d**2.
d*(d + 1)**2*(d + 3)*(d + 9)
Let j(t) be the second derivative of -t**5/70 - 9*t**4/14 - 26*t**3/21 + 265*t + 2. Suppose j(i) = 0. Calculate i.
-26, -1, 0
Suppose 3*d = 5*o + 20, 17*d - 13*d = -o + 19. Suppose -3*x - 5*b + 1 + d = 0, 4*b = 0. Let 16/3*p**x + 4/3*p**4 - 2/3 - 5*p**3 - p = 0. Calculate p.
-1/4, 1, 2
Let a(b) = 4*b**2 + 177*b - 1617. Let z(g) = 35*g**2 + 1415*g - 12935. Suppose 4*m - 24 + 2 = 5*w, 5*w + 10 = 0. Let o(q) = m*z(q) - 25*a(q). Factor o(r).
5*(r - 18)**2
Let s(u) be the third derivative of u**8/1344 + u**7/168 - 39*u**6/80 + 301*u**5/60 - 281*u**4/12 + 60*u**3 - u**2 + 1742. Determine i, given that s(i) = 0.
-20, 2, 9
Let f be 29 - 32 - 13*-1. Factor 0*n**3 + n**4 + f*n**3 - n**3 - n**3 + 3*n**4 + 4*n**2.
4*n**2*(n + 1)**2
Suppose c + 2*n - 175 = 0, 0 = -4*c + 4*n - n + 700. Factor 162*o**2 - 82*o**2 - 170*o + c - 85*o**2.
-5*(o - 1)*(o + 35)
Factor -245*l + 40*l**2 + 27*l**2 - 690 - 72*l**2.
-5*(l + 3)*(l + 46)
Let p(b) = -2*b + 7. Let y be p(4). Let m be ((-4)/(-14))/(2/(-14)*y). Solve k**m - 11*k + 8*k - 11*k + k**2 = 0 for k.
0, 7
Factor 13*x + 104*x + 1308 + 7*x**2 - 3*x - 273 - 4*x**2.
3*(x + 15)*(x + 23)
Determine c, given that -291/4*c**4 + 73*c**3 + 0*c + 0 + 0*c**2 - 1/4*c**5 = 0.
-292, 0, 1
Factor 184*a**3 - 13*a**3 - 355*a + 2073*a + 2158*a + 552 + 6846*a**2 - 24*a**3.
3*(a + 46)*(7*a + 2)**2
Let i(w) = 219*w**2 + 54*w - 1173. Let s be i(11). Determine t so that -31958/5*t**3 + 28422*t**2 + 442*t**4 + 5400 - 10*t**5 + s*t = 0.
-2/5, 15
Let y(q) = -q**3 + 5*q**2 + 13*q + 16. Let a be y(5). Let h = 569/7 - a. Determine o so that -16/7*o**2 - h*o**4 - 8/7*o + 0 - 10/7*o**3 = 0.
-2, -1, 0
Let r = -23001 - -23004. Let u(c) be the third derivative of 0 + 0*c**r + 14*c**2 - 1/120*c**5 + 0*c + 1/12*c**4. What is o in u(o) = 0?
0, 4
Let g(z) be the second derivative of 5*z**7/14 - 5*z**6/6 - 5*z**5/4 + 25*z**4/12 + 5*z**3/3 - 5075*z. What is w in g(w) = 0?
-1, -1/3, 0, 1, 2
Let s(h) be the first derivative of -h**4/16 + 44*h**3/3 + 355*h**2/8 + 89*h/2 - 3514. Solve s(i) = 0.
-1, 178
Suppose 214*m - 2*w = 218*m - 26, 0 = m - w - 2. Factor 0 - 8*x**2 + 12/5*x - 24/5*x**4 + 4/5*x**m + 48/5*x**3.
4*x*(x - 3)*(x - 1)**3/5
Suppose -31*s + 77 = 24 - 40. Let y(x) be the second derivative of 9/20*x**4 + 39/100*x**5 + 1/10*x**6 - 3/5*x**2 + 