+ 3)**2
Let f(x) = -2*x**2 + 28*x - 2. Let d(z) = z**2 + 2*z - 1. Let v(l) = -2*d(l) + f(l). Determine a, given that v(a) = 0.
0, 6
Suppose -63/2*y**2 - 1/2*y**4 - 54 - 135/2*y - 13/2*y**3 = 0. What is y?
-4, -3
Let b(h) be the first derivative of -2*h**5/25 - h**4/10 + 4*h**3/5 + 4*h**2/5 - 16*h/5 + 108. Determine a so that b(a) = 0.
-2, 1, 2
Let c = 373/325 - 33/65. Let p(k) be the first derivative of 3/5*k**4 + 6 + 1/5*k**6 + 0*k + 0*k**3 + c*k**5 - 1/5*k**2. Factor p(x).
2*x*(x + 1)**3*(3*x - 1)/5
Let c(k) be the third derivative of 1/6*k**5 - 1/8*k**6 - 2*k**2 + 1/42*k**7 + 0*k + 0*k**4 + 0*k**3 + 0. Factor c(y).
5*y**2*(y - 2)*(y - 1)
Let p(g) be the third derivative of 3*g**7/280 + g**6/60 + g**5/120 - 2*g**3/3 + 14*g**2. Let c(n) be the first derivative of p(n). Factor c(f).
f*(3*f + 1)**2
Suppose 4*p = -18*p + 88. Suppose -p*d + 2 = 2*b, -2*d - 4*b - 5 = -9*b. Factor 0*u**2 + d + 0*u + 1/5*u**4 + 0*u**3 + 1/5*u**5.
u**4*(u + 1)/5
Let d(u) be the first derivative of -1/9*u**4 - 2/9*u**3 - 3*u + 0*u**2 - 1. Let v(a) be the first derivative of d(a). Suppose v(o) = 0. What is o?
-1, 0
Let -175*w - 245 + 23*w**2 + 23*w**2 - 16*w**3 + 11*w**3 + 19*w**2 = 0. Calculate w.
-1, 7
Let j(g) be the second derivative of g**7/17640 + g**6/1680 + g**5/420 + 9*g**4/4 - 20*g. Let s(n) be the third derivative of j(n). Suppose s(l) = 0. What is l?
-2, -1
Let s(q) = 20*q - 16. Let k be 2*19/(-2) + 0. Let d = 15 + k. Let b(j) = j**2 + j - 1. Let f(x) = d*b(x) + s(x). Determine h, given that f(h) = 0.
1, 3
Let c(h) be the second derivative of -147*h**5/20 + 154*h**4/3 - 18*h**3 - 8*h**2 - 119*h. Find b such that c(b) = 0.
-2/21, 2/7, 4
Let u(l) be the second derivative of 5*l**4/12 - 35*l**3/6 - 245*l**2 - 202*l. What is k in u(k) = 0?
-7, 14
Let i = -141 + 431/3. What is x in -16/9 - 4/9*x**2 + 2/3*x**3 - i*x + 2/9*x**4 = 0?
-2, -1, 2
Let d be (6 - 4) + (3 - 0). Suppose 0 = -32*v - 19 + 39 + 44. Determine h so that -h**d + 2*h**v - 7/3*h**4 + 1/3 - 2/3*h**3 + 5/3*h = 0.
-1, -1/3, 1
Let b(h) be the second derivative of 5*h**7/42 + h**6/6 - 5*h**5/4 + 5*h**4/4 - 2*h - 6. Solve b(o) = 0.
-3, 0, 1
Let l(y) = 28*y**5 - 12*y**4 - 7*y**3 + 59*y**2 - 13*y. Let f(u) = -15*u**5 + 6*u**4 + 3*u**3 - 30*u**2 + 6*u. Let s(o) = 11*f(o) + 6*l(o). Factor s(k).
3*k*(k - 2)*(k - 1)**2*(k + 2)
Let r be 186/8 - 18/(-24). Let j(i) = i**3. Let h(l) = -11*l**3 + 10*l**2 - 3*l. Let z(c) = r*j(c) + 3*h(c). Find f, given that z(f) = 0.
0, 1/3, 3
Let x(h) be the first derivative of -1/27*h**3 - 1/18*h**2 + 1/36*h**4 + 8 + 1/9*h. Suppose x(g) = 0. Calculate g.
-1, 1
Let f = -1953 - -29264/15. Let x = 12/5 + f. Factor 0 - 1/3*u**3 + 0*u - x*u**2.
-u**2*(u + 1)/3
Suppose 4*c + 10*c = -4*c. Suppose c = -6*g + 12. Find u such that -2/5*u + 2/5*u**3 - 2/5 + 2/5*u**g = 0.
-1, 1
Let -2*c - 7960*c**2 - 2*c**3 + 7946*c**2 + 18*c = 0. What is c?
-8, 0, 1
Let p(l) be the first derivative of 3*l**5/40 - 9*l**4/8 - 31*l**3/8 + 63*l**2/8 - 268. Factor p(t).
3*t*(t - 14)*(t - 1)*(t + 3)/8
Let p = -26097/7 + 3735. Let q = 103/14 - p. Factor 2/3*l**2 - q*l - 1/6.
(l - 1)*(4*l + 1)/6
Let w(x) be the first derivative of -6 - 1/3*x**4 - 2/3*x**3 - 8*x + 1/5*x**5 + 2*x**2. Let u(t) be the first derivative of w(t). Let u(n) = 0. What is n?
-1, 1
Suppose b + m - 71 = -0*m, 5*b + m = 359. Let h be ((-1)/(-4))/(9/b). Solve 0 + 1/2*x + 1/2*x**h = 0 for x.
-1, 0
Let s(y) be the first derivative of y**6/160 + y**5/10 + y**4/2 - 3*y**2/2 - 13. Let z(p) be the second derivative of s(p). Let z(n) = 0. Calculate n.
-4, 0
Let r(m) be the third derivative of m**6/360 - m**5/90 - m**4/9 - 103*m**2. Solve r(w) = 0 for w.
-2, 0, 4
Let m(l) = -2*l**5 - 13*l**4 + 39*l**3 - 58*l**2 + 34*l - 6. Let a(v) = v**5 + v**3 + v - 1. Let r(o) = 3*a(o) + m(o). What is j in r(j) = 0?
1, 9
Suppose 2*r + 5*f = 3, -r + 6*r + 4*f - 16 = 0. Factor 18 - r*z**3 + 20*z**2 - 16 - 12*z - 19 - 19.
-4*(z - 3)**2*(z + 1)
Determine b so that 24 - 32*b**3 - 124/3*b**2 - 1/2*b**5 - 43/6*b**4 + 8*b = 0.
-6, -2, -1, 2/3
Let o be 10/4*(-96)/(-30). Suppose u - o*u = 2*u. Suppose -2/3 + 2/3*d**2 + u*d = 0. What is d?
-1, 1
Let i(u) be the third derivative of -u**7/420 + u**6/120 + u**5/15 - 3*u**4/8 + 3*u**3/4 - 14*u**2 + 3. Factor i(a).
-(a - 3)*(a - 1)**2*(a + 3)/2
Let b = 50384/11 - 4612. Let v = b + 32. Let -v*f + 2/11 - 6/11*f**2 = 0. What is f?
-1, 1/3
Let i = -3006/7 - -430. Determine h so that -i*h**2 + 8/7 - 4/7*h = 0.
-2, 1
Let m(d) = -d**3 - d + 1. Let v(a) = -3*a**4 + 5*a**3 - 6*a**2 - 4*a + 4. Let p(x) = 4*m(x) - v(x). Find w, given that p(w) = 0.
0, 1, 2
Suppose 5*r - 52 + 62 = -5*s, -5*r = -2*s - 39. Determine f, given that -4/5*f + 12/5*f**r + 0 - 8/5*f**3 - 16/5*f**4 + 16/5*f**2 = 0.
-1, 0, 1/3, 1
Let q(r) be the second derivative of -2*r**6/15 - r**5/5 + 3*r**4 + 6*r**3 - 40*r. Solve q(p) = 0 for p.
-3, -1, 0, 3
Suppose -35*u + 14 = -30*u + 2*h, -4*u - 4*h = -16. Factor -2/13*q**u + 56/13*q - 392/13.
-2*(q - 14)**2/13
Let b be (3/(-40))/((-135)/36). Let x(g) be the third derivative of -b*g**5 + 0 - 1/15*g**4 - 1/15*g**3 + 4*g**2 + 0*g. Factor x(m).
-2*(m + 1)*(3*m + 1)/5
Factor -2/3*h**2 + 628/3*h - 49298/3.
-2*(h - 157)**2/3
Let i be (-166)/249*(-15)/8. Find d such that -3/4 + 7/4*d - i*d**2 + 1/4*d**3 = 0.
1, 3
Let y = 45 - 42. Suppose -10*n**3 + 26*n**3 - 77*n**2 + 68*n + 48*n**y - 83*n**2 - 8 = 0. Calculate n.
1/4, 2
Let n(s) be the second derivative of s**5/70 + 2*s**4/7 + 16*s**3/7 + 64*s**2/7 - 4*s + 4. Let n(y) = 0. Calculate y.
-4
Let t(o) be the first derivative of 0*o + 1/30*o**5 - 1/6*o**4 - 7/2*o**2 - 5 + 1/3*o**3. Let c(v) be the second derivative of t(v). Factor c(z).
2*(z - 1)**2
Let n(m) be the second derivative of 4*m**7/483 - m**6/23 + 2*m**5/23 - 5*m**4/69 + m**2/23 + 16*m + 2. Factor n(r).
2*(r - 1)**4*(4*r + 1)/23
Solve 13 - 33*x + 0*x**4 - 11*x + 2*x**3 + 2*x**5 - 34*x**2 + 10*x**4 - 29 = 0 for x.
-4, -1, 2
Let n be (-12)/(1 - 5) - -1. Let w(d) = d**2 - 4*d + 8*d + 1 - n*d. Let z(a) = 22*a**2 + 2*a - 2. Let r(s) = 2*w(s) - z(s). Factor r(p).
-2*(2*p + 1)*(5*p - 2)
Let 25/4*q**4 + 4*q**2 + 0 + 0*q + 10*q**3 = 0. Calculate q.
-4/5, 0
Let g(j) = -9*j**4 + 21*j**3 - 11*j**2 - 5*j. Let y(t) = 28*t**4 - 64*t**3 + 32*t**2 + 16*t. Let o = 25 - 41. Let n(z) = o*g(z) - 5*y(z). Factor n(q).
4*q**2*(q - 2)**2
Factor -10/9*f**2 + 136*f - 488/9.
-2*(f - 122)*(5*f - 2)/9
Let m(d) be the third derivative of -d**5/90 + 29*d**4/6 - 841*d**3 - 2*d**2 + 252. Suppose m(i) = 0. What is i?
87
Factor -8*u**2 + 51/2*u - 18 + 1/2*u**3.
(u - 12)*(u - 3)*(u - 1)/2
Find x, given that -x + 12 + 2*x**2 - 26*x - 6*x**2 + 10*x**2 = 0.
1/2, 4
Let a = -1960 - -9801/5. Factor 1/5*x + 0*x**2 - a*x**3 + 0.
-x*(x - 1)*(x + 1)/5
Let n(b) be the second derivative of b**8/13440 - b**7/840 + b**6/120 - b**5/30 + b**4/2 + 2*b. Let u(i) be the third derivative of n(i). Solve u(w) = 0.
2
Let u(s) = -5*s + 7 - 11*s - 7*s + 25*s - 8*s**2. Let b(g) be the first derivative of -g**3/3 + g + 1. Let j(i) = 21*b(i) - 3*u(i). Factor j(x).
3*x*(x - 2)
Let x(u) be the third derivative of 1/40*u**4 + 0*u + 0 + 1/300*u**5 + 8*u**2 + 1/15*u**3. Factor x(s).
(s + 1)*(s + 2)/5
Let 96/23 + 28/23*g + 2/23*g**2 = 0. What is g?
-8, -6
Let r(l) be the second derivative of -l**7/231 + 4*l**6/55 - 53*l**5/110 + 53*l**4/33 - 32*l**3/11 + 32*l**2/11 - 84*l. Find a, given that r(a) = 0.
1, 2, 4
Let l be ((-12)/(-7))/(2 + 96/(-49)). Solve 59*y - 38*y**2 + 484 + l*y**2 + 29*y = 0.
-11
Suppose 42*u = -159*u. Determine c, given that u*c**2 - 3/5*c**3 + 3/5*c + 0 = 0.
-1, 0, 1
Factor 3*n**2 + n**2 - 9*n**5 + 7*n**5 + 6*n**3.
-2*n**2*(n - 2)*(n + 1)**2
Factor 2/17*j**2 - 36/17*j + 2.
2*(j - 17)*(j - 1)/17
Let a = -351/46 + -4933/92. Let z = 62 + a. Solve z - 1/2*x - 1/4*x**2 = 0.
-3, 1
Suppose 4*f + 0*f = -8. Let x be ((-36)/45)/(f/10). Solve 26*b**x + b**4 + 16*b**5 + 19*b**5 - 3*b**4 + 4*b**3 = 0.
-2/5, -2/7, 0
Let a(y) be the third derivative of -3*y**8/2240 - y**7/420 + y**6/80 + y**5/20 - 4*y**4/3 + 11*y**2. Let l(x) be the second derivative of a(x). Factor l(s).
-3*(s - 1)*(s + 1)*(3*s + 2)
Suppose -w - o + 4 = -2, -o + 14 = 3*w. Let t(m) be the first derivative of 1/12*m**w + 1/3*m**3 - 4 - 2/3*m - 1/15*m**5 - 1/6*m**2. Solve t(v) = 0.
-1, 1, 2
Suppose 0 = 3*o + 3*i - 45, -5*o + 