
What is h in -215/3*h - 425/6*h**2 - 15/2*h**4 + 70*h**3 - 40/3 = 0?
-1/3, 2, 8
Factor 6*z**3 + 2/9*z**4 + 52/9*z**2 + 0 + 0*z.
2*z**2*(z + 1)*(z + 26)/9
Let t(f) be the second derivative of -f**7/840 + f**6/24 + 13*f**4/6 + 3*f**2/2 + 61*f. Let d(l) be the third derivative of t(l). Factor d(q).
-3*q*(q - 10)
Let c = -77 + 82. Let i(w) = -10*w**3 + 40*w**2 + 15*w - 30. Let n(a) = 5*a**3 - 19*a**2 - 7*a + 15. Let f(q) = c*n(q) + 2*i(q). Factor f(x).
5*(x - 3)*(x - 1)*(x + 1)
Suppose -12530*x**2 - 205*x**3 - x**4 - 1156*x**2 + 27848 + 14396*x - 30*x**3 = 0. Calculate x.
-118, -1, 2
Suppose 16*t - 19*t = -744. Determine k so that -103*k**2 - 484*k - 1745*k**2 - 215*k**3 - 889*k**3 - 12*k**5 + t*k**4 = 0.
-1, -1/3, 0, 11
Let f = -46 - -69. Let s(a) = -3*a**2 + 66*a + 71. Let m be s(f). What is c in -10*c**m + 0 + 4*c + 1/2*c**5 - 7/2*c**4 + 9*c**3 = 0?
0, 1, 2
Let z(h) be the second derivative of h**7/14 + 347*h**6/30 + 229*h**5/20 - 115*h**4/12 - 22*h - 36. Find i such that z(i) = 0.
-115, -1, 0, 1/3
Let b(d) = -2*d**2 + 39*d - 14. Suppose 4*q = -2*k - k + 45, 2*q - 13 = -k. Let p be b(k). Factor -5 + 2 - p*u**2 + 0 - 7 + 15*u.
-5*(u - 2)*(u - 1)
Suppose 125 + 23 = 37*x. Suppose -x*y - 4*w - 16 = 0, 84*w = 2*y + 89*w + 20. What is c in 0*c - 1/5*c**5 + 1/5*c**3 - 3/5*c**2 + 3/5*c**4 + y = 0?
-1, 0, 1, 3
Let i(q) be the first derivative of 41 + 18/5*q**2 + 2/15*q**3 - 38/5*q. Let i(m) = 0. Calculate m.
-19, 1
Let w = -87 + 111. Let y(v) = 44*v**2 + 16*v - 12. Let h(p) = -2*p**2 + p - 1. Let r(n) = w*h(n) + y(n). What is o in r(o) = 0?
1, 9
Let a(h) be the second derivative of h**9/3024 + h**8/192 + h**7/84 + 71*h**4/3 + 92*h. Let z(p) be the third derivative of a(p). Factor z(s).
5*s**2*(s + 1)*(s + 6)
Let -416/3 - 1/3*b**3 - 34/3*b**2 - 224/3*b = 0. Calculate b.
-26, -4
Suppose -245*i = 460*i - 2115. Let j(k) be the second derivative of 2/15*k**4 - 14/15*k**i - k - 34 + 3/25*k**5 + 4/5*k**2. Factor j(o).
4*(o - 1)*(o + 2)*(3*o - 1)/5
Determine c so that -45/2*c**3 - 1/2*c**4 + 72*c**2 - 2*c - 96 = 0.
-48, -1, 2
Let m(q) = -2*q**3 - 2*q**2 + 4*q + 4. Let x be m(-2). Suppose j = 5*y - 237, -y = 3*y - x*j - 180. Factor -y*l**5 + l**3 - 3*l**3 + 3*l**4 + 53*l**5.
l**3*(l + 1)*(5*l - 2)
Let i(x) be the third derivative of -9*x**6/200 + 43*x**5/100 - 13*x**4/20 - 4*x**3/5 + 53*x**2. Determine l, given that i(l) = 0.
-2/9, 1, 4
Factor 262/5*y + 384/5 + 4/5*y**2.
2*(y + 64)*(2*y + 3)/5
Let b = -215 - 71. Let r be 11/(-10) - 13/(b/33). Determine v, given that -r + 6/5*v - 2/5*v**2 + 4/5*v**4 - 6/5*v**3 = 0.
-1, 1/2, 1
Let g(a) be the first derivative of 8/3*a**3 + 0*a + 260 - 27/2*a**4 - 7/3*a**6 + 4*a**2 + 52/5*a**5. Determine r so that g(r) = 0.
-2/7, 0, 1, 2
Let g(v) = 7*v**3 + 196*v**2 + 1997*v + 1770. Let q(a) = 85*a**3 + 2350*a**2 + 23965*a + 21225. Let u(d) = 25*g(d) - 2*q(d). Factor u(s).
5*(s + 1)*(s + 15)*(s + 24)
Let 44/3*m**2 + 0 - 2/3*m**5 + 80/3*m - 44/3*m**4 - 26*m**3 = 0. What is m?
-20, -2, -1, 0, 1
Let v(d) = -4*d**5 - 521*d**4 - 1016*d**3 + 10*d**2 + 5. Let m(k) = 6*k**5 + 781*k**4 + 1524*k**3 - 14*k**2 - 7. Let r(c) = -5*m(c) - 7*v(c). Factor r(o).
-2*o**3*(o + 2)*(o + 127)
Let o(f) = -f + 16. Let b be o(3). Determine w, given that w**3 + 3*w**4 - b*w**3 + 17*w**2 - 2*w**2 - 6*w = 0.
0, 1, 2
Suppose 0 = -159*k + 164*k - 350. Find j, given that -139*j + k*j + j**2 + 74*j = 0.
-5, 0
Let t(v) = -v**3 + 1. Let y(g) = -g**3 - g**2 - 2*g + 2. Let z be 18 - (0 + 1 + -2) - -3. Let l = -16 + z. Let c(n) = l*t(n) - 3*y(n). Factor c(h).
-3*h*(h - 2)*(h + 1)
Suppose k - 97 + 143 = 4*t, 0 = 2*k + 10*t - 124. Solve -54/5*r + 3/5*r**k - 57/5 = 0.
-1, 19
Let u be -4 - (-3 + 6 + -29). Suppose -u = -5*x + 38. Solve 7*d**2 + 37*d - 180 + 23*d - x*d**2 = 0.
6
Let y(s) be the second derivative of -13/150*s**6 - 37/15*s**4 - 1/210*s**7 - 16/3*s**3 + 8 - 16/25*s**5 + 4*s - 32/5*s**2. Find v such that y(v) = 0.
-4, -2, -1
Let w(k) = -103*k + 159. Let t be w(-5). Let q = -1335/2 + t. Find p such that 7/2*p - q*p**3 - p**4 + 4*p**2 + 0 = 0.
-7, -1/2, 0, 1
Let o be ((-23)/46)/(1/(-66)). Suppose -o*f + 15 = -28*f. Factor -2 - 8/3*u**f + 4/3*u**2 + 2/3*u**4 + 8/3*u.
2*(u - 3)*(u - 1)**2*(u + 1)/3
Suppose 89 - 97 = i. Let h(s) = 2*s**3 + 27*s**2 - 29*s + 3. Let j(z) = 4*z**3 + 80*z**2 - 88*z + 8. Let x(m) = i*h(m) + 3*j(m). Suppose x(a) = 0. What is a?
0, 2, 4
Let x(h) be the first derivative of -14/5*h**2 - 38 - 2/15*h**3 - 26/5*h. Suppose x(d) = 0. Calculate d.
-13, -1
Let k(v) be the third derivative of 0*v**3 - 1/84*v**8 + 1/15*v**6 + 10 - 3/2*v**4 + 0*v - 4/5*v**5 + 3*v**2 + 8/105*v**7. Factor k(g).
-4*g*(g - 3)**2*(g + 1)**2
Let s(w) be the third derivative of 7 - 1/660*w**6 - 10/11*w**3 - 3/55*w**5 + 0*w + 8*w**2 - 47/132*w**4. Solve s(m) = 0 for m.
-15, -2, -1
Suppose 0 = -2*k + 16 + 4. Let a(z) = -z**3 + 19*z**2 - 91*z + 12. Let h be a(k). Factor 0*b - 1/4*b**h + b**3 + 0.
b**2*(4*b - 1)/4
Suppose -3*o - 3*p = -6*p - 12, 2*o + p - 8 = 0. Let f = 7 - o. Suppose 24*y + 0*y**3 - 20*y**2 - 32*y**2 + 9*y**f + 19*y**2 + 12 = 0. Calculate y.
-1/3, 2
Let k(g) = 5*g**2 - g. Let i(q) = 93*q**2 - 15*q - 168. Let a(x) = i(x) - 18*k(x). Suppose a(r) = 0. What is r?
-8, 7
Let b(j) be the third derivative of j**7/210 + 31*j**6/360 + 4*j**5/9 + j**4/18 - 8*j**3/3 - 62*j**2 + 16. Let b(s) = 0. What is s?
-6, -4, -1, 2/3
Let f(r) be the second derivative of 2*r**7/63 + 34*r**6/15 + 737*r**5/15 + 2149*r**4/9 - 2756*r**3 + 18928*r**2/3 - 10402*r. Let f(s) = 0. Calculate s.
-28, -13, 1, 2
Let k(w) be the third derivative of -w**8/294 + 59*w**7/1470 - 17*w**6/168 - 26*w**5/105 + 2*w**4/7 - 367*w**2 + 3. Determine j so that k(j) = 0.
-1, 0, 3/8, 4
Let a(j) be the second derivative of 5*j**6/24 + 13*j**5/16 - 623*j**4/16 + 1617*j**3/8 - 2*j + 605. Factor a(k).
k*(k + 11)*(5*k - 21)**2/4
Let r(v) = 6 - 2 + 4*v**2 - 88*v + 78*v. Let q be r(2). Factor 16/5*x**2 - 12/5*x**4 - 16/5*x**3 + q*x + 0.
-4*x**2*(x + 2)*(3*x - 2)/5
Let w = -10 - -12. Suppose w*b = -p, 3*b = -2*p - 0 + 1. What is f in p + 0 - 2 - f**2 = 0?
0
Let q(t) = -10*t**2 - 91*t - 18. Let p(u) be the third derivative of u**5/12 + 23*u**4/12 + 4*u**3/3 + 87*u**2. Let g(a) = 9*p(a) + 4*q(a). Factor g(x).
5*x*(x + 10)
Suppose -736 = 616057*y - 616241*y. Let 0 - b**3 + 2/3*b**y - 8/3*b**2 - 4/3*b + 1/3*b**5 = 0. Calculate b.
-2, -1, 0, 2
Let n be 19*(-9 + 4025/437). What is i in -1/4*i**5 + 3/4*i - 3/4*i**n + 1/4 + 1/2*i**2 - 1/2*i**3 = 0?
-1, 1
Suppose 28227 = 20*a - 1013. Let i be 12/5 - (-6)/10. Factor 1482*h**4 + 25*h**2 - 8*h - a*h**4 - 4*h**5 + i*h**2 - 36*h**3.
-4*h*(h - 2)*(h - 1)**3
Let c(f) = 21570*f - 86277. Let u be c(4). Determine m so that 16/11 - 60/11*m + 60/11*m**u - 2/11*m**2 - 14/11*m**4 = 0.
-1, 2/7, 1, 4
Let r(o) be the second derivative of -o**5/360 - 7*o**4/24 - 49*o**3/4 + 153*o**2/2 - 86*o. Let y(j) be the first derivative of r(j). Factor y(z).
-(z + 21)**2/6
Suppose 98 = -21*s + 42 + 980. Let z(o) be the first derivative of -s*o**2 + 40/3*o**3 + 53*o**4 + 49/12*o**6 + 23 + 16*o + 133/5*o**5. Let z(t) = 0. What is t?
-2, 2/7
Let w(r) be the second derivative of r**5/10 + 221*r**4/2 + 48841*r**3 + 10793861*r**2 + 1440*r. Factor w(x).
2*(x + 221)**3
Let f(o) be the second derivative of -24*o - 1/6*o**4 + 22*o**3 + 0 - 1089*o**2. What is g in f(g) = 0?
33
Find n such that 2/7*n**2 - 40/7 - 2/7*n = 0.
-4, 5
Let l be (-9)/6*4/2 - -121. Let r = 185 - l. Factor -27 - 81*f**2 + r*f + 12*f**3 + 6*f**2 + 59*f.
3*(f - 3)**2*(4*f - 1)
Factor 6/5 - 2/5*p**2 - 4/5*p.
-2*(p - 1)*(p + 3)/5
Find k such that 10*k - 16*k - 21*k - 150*k**2 - 8*k = 0.
-7/30, 0
Let a be ((-16)/(-54))/((-30700)/(-69075)). Factor 2/9*t - 2/9*t**3 + 2/3*t**2 - a.
-2*(t - 3)*(t - 1)*(t + 1)/9
Let o be (-4)/12*3 - -3 - -3. Factor -9*z + 12*z - z**2 - 4*z + o + 2*z + 7.
-(z - 4)*(z + 3)
Determine r so that 86/3*r - 10/3 - 17/6*r**2 = 0.
2/17, 10
Let x(i) = -3*i**2 + 26*i - 59. Let b(g) = g**2 - g - 2. Let n(t) = -10*b(t) - 5*x(t). Find u such that n(u) = 0.
3, 21
Let r(g) = -20*g**2 - 1496*g + 2960. Let o(s) = -3*s**2 - s. Let t(q) = 8*o(q) - r(q). Factor t(c).
-4*(c - 370)*(c - 2)
Factor -641*n**2 - 4*n**5 + 20*n + 633*n**2 + 19 - 16*n**3 + 16*n**4 - 27.
-4*(n - 2)*(n - 1)**3*(n + 1)
Let f(h) = 12*h**3 - 28*h**2 + 16*h + 8. Let x = -115