hat k(z) = 0.
-3, 0
Let u = 0 + 4. Suppose b = 4*h - 6, 2*h + h = 5*b - u. Suppose h*x**2 + x - 3*x + 2*x**2 - 2*x**2 = 0. Calculate x.
0, 1
Let n(l) be the second derivative of -l**4/12 + 23*l**3/6 + 25*l**2 - 527*l. Solve n(c) = 0.
-2, 25
Let f = 9/47 - -387/188. Let g be 12/(-39) + 3781/247. Let 3/2 + g*r**4 - 33/2*r**2 + f*r + 63/4*r**5 - 18*r**3 = 0. What is r?
-1, -2/7, 1/3, 1
Let t = -10 + 9. Let b be 2 - 1/(0 - t). Let a(i) = i. Let p(g) = -2*g**2 - 7*g - 2. Let l(m) = b*p(m) + 3*a(m). What is r in l(r) = 0?
-1
Let a = 46018 - 46018. Factor -35/3*k**2 - 15*k**3 - 25/3*k**4 + a - 5/3*k**5 - 10/3*k.
-5*k*(k + 1)**3*(k + 2)/3
Let g(s) be the third derivative of 0*s**3 + 0 + 0*s + 1/735*s**7 + 2/105*s**5 + 0*s**4 - 1/105*s**6 + 11*s**2. Factor g(j).
2*j**2*(j - 2)**2/7
Suppose -10*x + 16*x + 96 = 0. Let q be (20/x)/(1/(-4)). Let 8/15*h + 22/15*h**4 + 8/15*h**q - 2/5*h**3 - 32/15*h**2 + 0 = 0. Calculate h.
-2, 0, 1/4, 1
Let m = -1633/80 + 629/16. Let u = 102/5 - m. Let u*o**2 + 0*o + 0 - 3/2*o**5 + 3/2*o**3 - 3/2*o**4 = 0. What is o?
-1, 0, 1
Let -9/8*b**3 + 1/8*b**4 + 0*b + 0 + 7/4*b**2 = 0. Calculate b.
0, 2, 7
Let j be (((-6)/3)/4)/(1/(-54)). Suppose 4*g + 3*d = 1, -2*d - d = -3*g + j. Determine x so that 0 + 3*x**3 + 3/2*x**2 + 3/2*x**g + 0*x = 0.
-1, 0
Let f = 11/107 + -91/1926. Let w(h) be the second derivative of 0 + f*h**4 + 1/30*h**5 + 0*h**2 - 2/9*h**3 + 2*h. Let w(q) = 0. What is q?
-2, 0, 1
Let l(x) be the second derivative of -x**4/78 - 19*x**3/39 + 42*x**2/13 - 54*x. Factor l(r).
-2*(r - 2)*(r + 21)/13
Let q(l) be the second derivative of -l**5/20 + 3*l**4/8 - l**3 - 7*l**2 + 9*l. Let x(d) be the first derivative of q(d). Factor x(r).
-3*(r - 2)*(r - 1)
Suppose 9 - 7 = -2*w + 2*h, 5*w - 3*h = 1. Find x such that -8/3 + 40/3*x**3 - 32/3*x - 25/6*x**4 - 4*x**w = 0.
-2/5, 2
Let p(c) = 12*c**4 - 4*c**3 - 12*c**2 + 18*c + 14. Let w(r) = -r**4 + r**2 - r - 1. Let f(t) = -2*p(t) - 28*w(t). Factor f(s).
4*s*(s - 1)*(s + 1)*(s + 2)
Let c(s) be the first derivative of -3*s**5/5 + 31*s**4/4 - 7*s**3/3 - 31*s**2/2 + 10*s - 305. Determine i, given that c(i) = 0.
-1, 1/3, 1, 10
Let k(z) be the second derivative of 1/4*z**4 + 0 + 1/2*z**2 - 29*z + 1/2*z**3 + 1/20*z**5. Factor k(x).
(x + 1)**3
Let s = -140 - -146. Let z be 2/9 + s/(-27). Suppose -2/3*a**2 + z - 5/6*a**4 - 1/6*a**5 - 4/3*a**3 + 0*a = 0. Calculate a.
-2, -1, 0
Let -4/3 - 16/3*x**2 - 14/9*x**5 + 20/3*x**4 + 58/9*x - 44/9*x**3 = 0. What is x?
-1, 2/7, 1, 3
Suppose 0 = 5*r - 5*f + 64 - 39, 0 = -r - 5*f + 37. Solve 6 + 99/7*u - 15/7*u**r = 0 for u.
-2/5, 7
Let i = 9/274 + 47/2740. Let g(l) be the second derivative of 0*l**2 - 11*l + i*l**4 + 1/10*l**3 + 0. Factor g(b).
3*b*(b + 1)/5
Let a be 31/3 + (-8)/(-12). Let p = a + -1. Factor -4*o + 8 + p*o - 4 + 2*o**2.
2*(o + 1)*(o + 2)
Let o = -391 + 397. Let l(w) be the third derivative of 0 + 1/75*w**5 + 0*w**3 + 0*w - 2*w**2 + 1/60*w**4 + 1/300*w**o. Factor l(a).
2*a*(a + 1)**2/5
Let j be 0*5*2/20. Let x(y) be the first derivative of -1/8*y**6 + 0*y**2 + j*y + 1/4*y**3 - 9/16*y**4 + 9/20*y**5 - 6. Factor x(r).
-3*r**2*(r - 1)**3/4
Let -24 + 24*v**4 + 54*v**3 + 69 - 3*v**2 - 27*v - 39 = 0. What is v?
-2, -1, 1/4, 1/2
Let -10/3*y + 0 + 16/3*y**2 = 0. Calculate y.
0, 5/8
Let w(i) be the second derivative of -7*i**6/360 + 23*i**5/120 - i**4/4 - i**3/2 + 2*i. Let z(t) be the second derivative of w(t). Factor z(m).
-(m - 3)*(7*m - 2)
Let h = 24 - 50. Let x = -24 - h. Solve 0*u**3 + 0*u - 50*u**x + 4 + 625/4*u**4 = 0 for u.
-2/5, 2/5
Suppose -48*q + 50*q = -b + 7, 4*q - 2*b = 2. Solve -2/3*m**2 - q*m - 4/3 = 0 for m.
-2, -1
Let a be (((-12)/9)/2)/((-14)/252). Let y(n) be the second derivative of -1/12*n**3 + 0 + 1/48*n**4 - a*n - 3/8*n**2. Solve y(x) = 0 for x.
-1, 3
Let a(d) be the second derivative of d**6/240 - d**5/60 + d**4/48 - 17*d**2/2 - 4*d. Let f(s) be the first derivative of a(s). Factor f(y).
y*(y - 1)**2/2
Let r(v) be the third derivative of v**9/45360 - v**8/20160 - v**7/3780 - 7*v**4/6 + v**2. Let x(i) be the second derivative of r(i). Factor x(l).
l**2*(l - 2)*(l + 1)/3
Suppose 15*c - 29 - 46 = 0. Let 51*g**4 - 2*g**3 + 3*g**c + 6*g**3 + 6*g**2 - 39*g**4 + 11*g**3 = 0. What is g?
-2, -1, 0
Suppose 4*a - 28 = -16. Factor 2*s**4 + 8*s + 8*s - 8 + 0 - 6*s**2 - 4*s**a.
2*(s - 2)*(s - 1)**2*(s + 2)
Suppose -s = -l, -s - 3*l - 3 = -5*s. Factor -5*c + 3*c**4 + 14*c - 51*c**3 - s*c**2 + 42*c**3.
3*c*(c - 3)*(c - 1)*(c + 1)
Factor 2/3*w**5 - 2/3*w**4 - 4/3*w**3 + 4/3*w**2 - 2/3 + 2/3*w.
2*(w - 1)**3*(w + 1)**2/3
Suppose 17*o - 13*o - 4 = 0. Find p such that 33 - 23*p**2 + 7*p**2 + 7*p - 131*p - o = 0.
-8, 1/4
Suppose 4 = 10*k - 8*k. Find u such that 15*u**k - 35*u**2 + 18*u**3 - 5*u - 33*u**3 = 0.
-1, -1/3, 0
Solve -4/5*t - 2/5*t**2 + 2/5*t**3 + 0 = 0.
-1, 0, 2
Let x = 632/1555 - 2/311. Suppose x + 2/5*i**2 - 4/5*i = 0. Calculate i.
1
Let d(p) be the second derivative of -p**7/3 + 5*p**6/3 - 47*p**5/14 + 145*p**4/42 - 40*p**3/21 + 4*p**2/7 + 2*p - 21. Factor d(o).
-2*(o - 1)**3*(7*o - 2)**2/7
Suppose 294*w**2 - 160*w**2 - 166*w**2 + w**4 + 256 = 0. Calculate w.
-4, 4
Let x(u) = 11*u**3 - 21*u**2 - 45*u - 27. Let p(s) = -3*s**3 + 7*s**2 + 15*s + 9. Let l(b) = 21*p(b) + 6*x(b). Factor l(d).
3*(d + 1)*(d + 3)**2
Solve -12 + 1/3*o**5 + 47/3*o**3 - 16*o + 23/3*o**2 + 13/3*o**4 = 0.
-6, -1, 1
Let d(p) = -p**3 + 2*p**2 + 6*p - 7. Let y(q) = q**2 - 4*q + 6. Let l be y(3). Let x be d(l). Let 0 + 2/3*c**x + 1/3*c = 0. What is c?
-1/2, 0
Let u(a) be the first derivative of 2*a**5/45 - 133*a**4/18 + 440*a**3 - 90992*a**2/9 + 170368*a/9 - 584. Factor u(s).
2*(s - 44)**3*(s - 1)/9
Let n(b) be the first derivative of -2*b**3/33 - 218*b**2/11 - 23762*b/11 - 175. Let n(q) = 0. Calculate q.
-109
Let u = 20 - 18. Let f be ((-1)/u)/(4/(-16)). Find q such that -f*q**3 + 29 - 4*q**2 - 29 - 2*q = 0.
-1, 0
Let w = 189/19 + -2463/133. Let g = 314/35 + w. Factor g*n**3 + 1/5*n**4 - 2/5*n + 0*n**2 - 1/5.
(n - 1)*(n + 1)**3/5
Let z(l) be the second derivative of l**5/6 + l**4/18 - 5*l**3/9 - l**2/3 + 47*l. Factor z(f).
2*(f - 1)*(f + 1)*(5*f + 1)/3
Let j(f) be the third derivative of -28*f**2 + 0 + 5/39*f**4 - 1/30*f**6 - 1/91*f**7 + 4/39*f**3 + 0*f + 17/390*f**5. Determine k, given that j(k) = 0.
-2, -2/5, -1/3, 1
Factor -4*b**2 + 4*b**3 + 11 - 13 + b + 2 - 9*b.
4*b*(b - 2)*(b + 1)
What is j in -441 + 26*j**5 + 784*j - 17*j**4 - 58*j**5 + 31*j**5 - 931 + 161*j**2 - 67*j**3 = 0?
-7, 2
Find n such that 13 - 11*n**2 - n + 7 - 9*n**2 + 6*n**3 - 4*n - n**3 = 0.
-1, 1, 4
Let m(o) be the first derivative of 81/5*o**3 - 3 + 0*o + 729/10*o**2 + 1/25*o**5 + 27/20*o**4. Factor m(j).
j*(j + 9)**3/5
Let r(c) be the first derivative of -c**9/1008 + c**8/560 + c**7/280 - c**6/120 - c**3/3 + c**2 + 18. Let k(n) be the third derivative of r(n). Factor k(o).
-3*o**2*(o - 1)**2*(o + 1)
Let x(c) be the first derivative of -2 + 5*c + 1/2*c**2 - 1/4*c**4 + 1/3*c**3. Let k(j) be the first derivative of x(j). Factor k(r).
-(r - 1)*(3*r + 1)
Let z(y) be the second derivative of -3*y**7/56 + 7*y**6/120 + 47*y**5/80 + 37*y**4/48 + y**3/4 + 52*y. Solve z(r) = 0 for r.
-1, -2/9, 0, 3
Let n(l) = -12*l**2 - 315 - 11*l - 88*l - 36*l. Let h(g) = -3*g**2 - 34*g - 79. Let d(c) = -15*h(c) + 4*n(c). Suppose d(m) = 0. Calculate m.
-5
Let d(s) be the second derivative of -3*s**5/20 - 3*s**4 - 18*s**3 + 84*s. Factor d(y).
-3*y*(y + 6)**2
Find n such that 3*n + 2*n**2 + 16*n**4 - 2*n**4 + 138*n**5 - 16*n**3 - 141*n**5 = 0.
-1/3, 0, 1, 3
Suppose -25*y = -26*y + 2*h + 4, 4*y = 3*h + 6. Let c be -1*2*-1 - -1. Factor 3/4*i**5 + 9/2*i**c - 3*i**4 + y + 3/4*i - 3*i**2.
3*i*(i - 1)**4/4
Suppose -454*z**5 + 15*z**2 + 4*z**4 - 12*z**4 + 5*z**3 - 8*z - 2*z + 459*z**5 - 7*z**4 = 0. Calculate z.
-1, 0, 1, 2
Let k(w) = 9 - 3*w - 9 + w**2 - 6*w + 2. Let a be k(9). Let -1/2*j**4 + 0 + 0*j + 0*j**3 + 1/2*j**a = 0. What is j?
-1, 0, 1
Let p be (3 - -8) + 0 + -2. Factor 12*n**4 - n**2 + p*n - 42*n**3 + 3 + 33*n**3 - 14*n**2.
3*(n - 1)**2*(n + 1)*(4*n + 1)
Factor -230 - 8*c**3 + 42*c**2 - 24*c + 202 + 18*c**2.
-4*(c - 7)*(c - 1)*(2*c + 1)
Let c(m) be the third derivative of -m**5/100 + m**4/5 + 9*m**3/10 + 477*m**2. Suppose c(v) = 0. Calculate v.
-1, 9
Let p(r) be the third derivative of 0*r + 0*r**3 + 0 + 1/168*r**