 0. What is y?
-4, -1, 43
Let o(r) be the first derivative of -r**6/180 + r**5/270 + r**4/36 - r**3/27 + r**2 + 15*r - 70. Let i(d) be the second derivative of o(d). Factor i(u).
-2*(u - 1)*(u + 1)*(3*u - 1)/9
Let z(k) be the third derivative of -1 - 140*k**2 + 0*k + 18/7*k**3 + 9/28*k**4 + 1/70*k**5. Let z(g) = 0. What is g?
-6, -3
Suppose -5*w = h - 27, 3*w + 17 - 32 = 0. Suppose 2 - 119*j**2 + 62*j**h - 3 + 58*j**2 = 0. What is j?
-1, 1
Let a(b) be the second derivative of -b**5/20 - b**4/2 - b**3/3 - 6*b**2 + 43*b. Let c be a(-6). Factor -4/17*q**3 - 2/17*q**4 + 0 + 0*q**2 + c*q.
-2*q**3*(q + 2)/17
Factor -25*v**3 + 2466 + 5215*v + 3147*v**2 + 1004 - 11807*v**2.
-5*(v - 1)*(v + 347)*(5*v + 2)
Let y = 363 + -358. Suppose 12 = -4*p, -28 = -y*u + 11*p - 10*p. Suppose -8/13*h**2 + 14/13*h**u + 4/13 - 28/13*h**3 + 4/13*h**4 + 14/13*h = 0. Calculate h.
-1, -2/7, 1
Suppose 1040*x - 1026*x = 28. Let d(c) be the second derivative of -1/45*c**5 + 0*c**4 - 1/9*c**x + 1/135*c**6 - c + 0 + 2/27*c**3. Factor d(n).
2*(n - 1)**3*(n + 1)/9
Let c = -122555 - -122627. Determine o, given that -39/5 - 102/5*o**2 + c*o**3 - 192/5*o - 27/5*o**4 = 0.
-1/3, 1, 13
Let m be 2/(-12) - (-17)/6. Let h be (4 - 216/90)/(2/(40/3)). Factor 50/3*s**3 - h*s + m + 10/3*s**2.
2*(s + 1)*(5*s - 2)**2/3
Factor 3*k**5 - 422*k**4 - 1875*k + 64*k**2 + 392*k**4 + 686*k**2.
3*k*(k - 5)**3*(k + 5)
Suppose 4*q - u = 1, 0 = 4*q + 474*u - 470*u + 4. Solve q + 6/5*v - 8/5*v**2 = 0 for v.
0, 3/4
Factor -520/11*i - 2/11*i**2 + 0.
-2*i*(i + 260)/11
Let f(v) = -v**3 + 10*v**2 - 22*v + 45. Let q be f(8). Let w be ((-3)/(-5))/(q/(-9)). Factor w*s**2 - 13/5*s + 4/5.
(s - 1)*(9*s - 4)/5
Factor 3178/5*j**2 + 0 + 66/5*j**4 + 184*j**3 - 196/5*j.
2*j*(j + 7)**2*(33*j - 2)/5
Suppose 46*n - 41*n = 240. Suppose -5*h = 38 - n. Let 62*a + 4*a**3 - 19*a**h + 11*a**2 - 58*a = 0. What is a?
0, 1
Suppose j = 22*j - 105. Determine k so that -88*k - 181*k**2 + 2*k**3 + 289*k + 85*k**2 - j*k**3 - 102 = 0.
-34, 1
Let u = -8176 - -8180. Let s(k) be the third derivative of 22*k**2 + k**3 + 1/8*k**u + 0 - 1/20*k**5 + 0*k. Factor s(i).
-3*(i - 2)*(i + 1)
Let s = 17 + -4. Let a be s/4 + -3 + -1 + 1. Factor 3/4*k - 3/4*k**3 + 0 + 1/4*k**4 - a*k**2.
k*(k - 3)*(k - 1)*(k + 1)/4
Suppose -s = 5*s - 12. Let p be 3/2*(12/s - 4). Find j such that -10*j**2 - 7*j**3 + 10*j**4 + 2*j**3 - 5*j**5 + 10*j**p = 0.
-1, 0, 1, 2
Suppose g = -1, 1315*i - 4*g - 20 = 1311*i. Factor 5/8*b**i - 15/8*b**2 - 13/8*b + 1/8*b**3 - 1/4.
(b - 2)*(b + 1)**2*(5*b + 1)/8
Find t, given that 52 + 144*t + 57044*t**2 - 57041*t**2 + 1928 + 12*t = 0.
-30, -22
Let k(y) be the second derivative of -y**5/90 + 187*y**4/18 - 560*y**3/27 + 928*y. Factor k(i).
-2*i*(i - 560)*(i - 1)/9
Let w = -250 - -1387. Let o = w - 1135. Suppose -2/3*v**4 + 0 + 4/9*v**3 + 2/9*v**5 + 0*v + 0*v**o = 0. Calculate v.
0, 1, 2
Let f(d) be the third derivative of -1/12*d**5 - 16810/3*d**3 + 0 - 205/6*d**4 - 147*d**2 + 0*d. Factor f(c).
-5*(c + 82)**2
Let u(f) = 4*f**4 - f**3 + 6*f**2 + f - 7. Let m(j) = 2*j**4 - j**3 + j - 1. Let k be ((-125)/(-9))/5 - (-14)/63. Let g(z) = k*m(z) - u(z). Factor g(v).
2*(v - 2)*(v - 1)*(v + 1)**2
Let d be (-1174)/(-18) + 4/(-18). Let k = -62 + d. Factor 12*f**3 - f**k + 20*f - 16*f**3.
-5*f*(f - 2)*(f + 2)
Let h(m) = 2*m**2 + 9*m + 19. Let o = 9 + -12. Let n be h(o). What is g in -9*g**5 - 3*g**3 - n*g**5 + 3*g**4 + 25*g**5 = 0?
-1, 0, 1/2
Suppose 0 = -q - 2*m + 3*m + 59, -3*q + 5*m + 173 = 0. Factor -q - 113*o**2 + 118*o**2 + o + 1 + 4*o.
5*(o - 3)*(o + 4)
Let z be 284*((-448)/(-252) - (-4)/18). Factor -z - 1014 - 366 - 15*y**3 - 1615*y + 185*y**2 + 10*y**3 + 143.
-5*(y - 19)**2*(y + 1)
Let n(j) be the first derivative of 5*j**4/36 + 155*j**3/18 + 25*j**2 + 81*j - 141. Let w(a) be the first derivative of n(a). What is t in w(t) = 0?
-30, -1
Factor -1229*c + 5*c**2 - 1345*c + 1280 + 2374*c.
5*(c - 32)*(c - 8)
Let w(p) = 3*p**2 - 1. Let y be w(-1). Let z = -537053/3 - -179018. Factor 4*h + 12 + z*h**y.
(h + 6)**2/3
Let l be (24/32*2)/((-15)/(-20)). What is m in 349 - 2*m**2 + 80*m + 350 - 699 - 3*m**l = 0?
0, 16
Let s(q) be the second derivative of -q**7/840 + 7*q**6/240 - 3*q**5/10 - q**4/12 - 37*q**3/6 + 39*q + 1. Let p(g) be the third derivative of s(g). Factor p(i).
-3*(i - 4)*(i - 3)
Let c(r) = 37*r**2 + 41*r + 156. Let n be c(-4). Factor -32*a - 272*a**3 - 292*a**3 + 28*a**2 + n*a**3 - 16.
4*(a - 1)*(a + 2)*(5*a + 2)
Let n(i) be the first derivative of i**3 - 133 + 54*i + 33/2*i**2. Factor n(d).
3*(d + 2)*(d + 9)
Let b = 41 - 41. Let r be 0 + -4 + (-120)/(-27). Factor -r*x**4 + 0*x - 4/9*x**2 + 10/9*x**3 + b.
-2*x**2*(x - 2)*(2*x - 1)/9
Suppose 0 = -4*s - 8, -4*p - 420 = 4*s + 3068. Let c = p - -6963/8. Factor 3/4*n - c*n**2 + 9/8.
-3*(n - 3)*(n + 1)/8
Let z(b) = b**3 - b + 2. Let j(w) = -6*w**3 - 149*w**2 - 35*w - 4. Let d(p) = -3*j(p) - 6*z(p). Factor d(o).
3*o*(o + 37)*(4*o + 1)
Let f(r) be the first derivative of r**5/300 + 11*r**4/60 + 91*r**2 - 176. Let g(v) be the second derivative of f(v). Solve g(i) = 0 for i.
-22, 0
Let w = -3424 + 229413/67. Let g = w - -1325/201. Solve 8/3 + 4/3*h**5 - 16/3*h**4 - g*h + 8/3*h**2 + 16/3*h**3 = 0.
-1, 1, 2
Let a(o) = 14*o + 19 - 30*o + 15*o**2 - 6*o**2. Let l be a(-23). Let 2*r**2 - 2 - 3*r**3 + 5*r**3 + l*r - 5150*r = 0. Calculate r.
-1, 1
Let f(i) be the second derivative of -i**5/4 - 175*i**4/6 - 960*i**3 + 6480*i**2 - 66*i + 14. Determine h, given that f(h) = 0.
-36, 2
Let m(h) be the first derivative of 4*h**5/25 - h**4/4 - 14*h**3/3 + 19*h**2/2 + 156*h/5 + 1471. Suppose m(d) = 0. What is d?
-4, -1, 3, 13/4
Let q be (-3)/(-9)*1 - 108/(-162). Let t(x) be the first derivative of q - x - x**2 - 1/3*x**3. Factor t(m).
-(m + 1)**2
Let q be 1/(-6) - (-245)/750. Let d = q - -56/25. Suppose -2/5*o**3 + 26/5*o - 2/5*o**4 + d + 14/5*o**2 = 0. What is o?
-2, -1, 3
Let r(c) be the first derivative of -c**7/420 + c**6/20 - c**5/4 + 7*c**4/12 + c**3 + 43. Let j(f) be the third derivative of r(f). Suppose j(z) = 0. What is z?
1, 7
Let k be (135/243)/((-4)/(-36)). Let a(u) be the first derivative of 25/2*u**2 + 21 - k*u**3 - 10*u. Determine m, given that a(m) = 0.
2/3, 1
Let f(d) = -2*d**2 + 44*d + 153. Suppose 0 = -o - 2*y + 29, 14 = o - 2*y - 7. Let u be f(o). Factor -10/9*b**2 - 2/9*b**u - 8/9 - 16/9*b.
-2*(b + 1)*(b + 2)**2/9
Let t(o) = -5*o**2 + 10*o - 9. Let b(l) be the second derivative of 5/12*l**4 - 5/3*l**3 + 8*l + 0 + 5*l**2. Let n(q) = 4*b(q) + 5*t(q). Factor n(c).
-5*(c - 1)**2
Let d(q) be the second derivative of 1/24*q**3 + 8*q - 1/4*q**2 + 17 - 1/80*q**5 + 1/24*q**4. Let d(m) = 0. Calculate m.
-1, 1, 2
Let i be 1/((21 - 11) + 0) + (-166)/(-40). Solve -9/4 - i*z + 29/4*z**2 - 3/4*z**3 = 0.
-1/3, 1, 9
Factor -844/3*v + 80 + 14/3*v**2.
2*(v - 60)*(7*v - 2)/3
Let o(v) = 11863*v**3 - 24327*v**2 + 1275*v - 26. Let b(i) = i**3 + i**2 + 7*i - 2. Let x(f) = -5*b(f) + o(f). Find p such that x(p) = 0.
2/77, 2
Let i be -14 - (15 - (-13 - -42)). Let h(o) be the second derivative of 18*o + 0*o**2 - 5/12*o**4 - 5/3*o**3 + i. Factor h(a).
-5*a*(a + 2)
Determine b so that 96/5*b - 96/5*b**3 - 2/5*b**4 - 92/5*b**2 + 94/5 = 0.
-47, -1, 1
Let d(t) be the third derivative of 0 - 175*t**2 - 1/21*t**4 + 0*t**3 + 12/245*t**7 - 31/210*t**6 + 0*t + 1/7*t**5. Determine i, given that d(i) = 0.
0, 2/9, 1/2, 1
Let v(u) be the second derivative of u**7/630 + 13*u**6/90 + 169*u**5/30 - u**4/4 + 2*u**3/3 + u - 4. Let k(o) be the third derivative of v(o). Factor k(q).
4*(q + 13)**2
Let w(i) be the first derivative of i**4/12 - 5*i**3/6 + 3*i**2 + 63*i - 273. Let x(s) be the first derivative of w(s). Let x(t) = 0. What is t?
2, 3
Factor 2928432*f**2 - 491909 - 21619 - 667888*f**3 + 1976944 - 5706688*f + 1751944 + 954912 + 57122*f**4.
2*(13*f - 38)**4
Let x(u) = -u + 20. Let y be (-4)/(-14) + 108/14. Let g be x(y). What is k in g*k - 2 - 22*k + 11*k + k**2 = 0?
-2, 1
What is q in -3/5*q**4 - 2496/5*q**2 + 9216/5*q - 183/5*q**3 + 0 = 0?
-32, 0, 3
Let o(q) be the third derivative of 3 - 7/12*q**4 + 0*q + 1/15*q**6 + 2/3*q**3 - 8*q**2 - 1/6*q**5. Factor o(t).
2*(t - 2)*(t + 1)*(4*t - 1)
Let k(b) = 38*b + 156. Let j be k(-4). Factor 2*t**2 - 18*t**2 + 12*t**3 - 16*t + 99*t**4 + 4*t**5 - 83*t**j.
4*t*(t - 1)*(t + 1)*(t + 2)**2
Factor -