*k**3 + z*k**5 - 1/2*k - k**4 = 0?
-1, 0, 1
Suppose 4*y = 5*o - 40, 11 = 2*o - 3*o - 3*y. Let j(u) be the first derivative of 4 + 1/8*u**2 - 1/12*u**3 - 1/16*u**o + 1/4*u. Find n, given that j(n) = 0.
-1, 1
Factor 1/3*g**3 - g**2 + 4 - 4/3*g.
(g - 3)*(g - 2)*(g + 2)/3
Let u(j) be the first derivative of -j**7/126 - 2*j**6/45 - j**5/15 - 7*j - 7. Let y(s) be the first derivative of u(s). Let y(l) = 0. Calculate l.
-2, 0
Let m(f) = -2*f**3 + f**2. Let o be m(-1). Let t be 200/34 + (-6)/(-51). Factor -5*b**2 + o*b - t*b + 3*b**2 - b.
-2*b*(b + 2)
Let u = 61 + -57. Suppose 5*n - 7 = u*x, -7 = 5*x - 5*n - 2. Let 3/5*j + 0 - 3/5*j**x = 0. What is j?
0, 1
Let c(z) be the second derivative of 7*z**7/2880 - z**5/240 - z**4/2 - 18*z. Let m(f) be the third derivative of c(f). Factor m(p).
(7*p - 2)*(7*p + 2)/8
Solve -98 - 9*q**2 + 1/2*q**3 + 105/2*q = 0.
4, 7
Let q(w) be the first derivative of -w**4/10 - 26*w**3/5 - 72*w**2 + 160*w + 86. Let q(b) = 0. What is b?
-20, 1
Suppose 3*c + 13*x = 16*x + 15, 3*c - x = 9. Let a(q) be the first derivative of -4 + 4/5*q**5 + 0*q**3 - 4*q + 2*q**4 - 4*q**c. Suppose a(d) = 0. Calculate d.
-1, 1
Let w(u) be the second derivative of -u**4/12 - u**3/6 + 6*u**2 - 33*u + 2. Factor w(f).
-(f - 3)*(f + 4)
Suppose -72*x + 74*x - 4 = 0. Find i such that -113 + 3*i**x + 3*i + 113 + 6*i**2 = 0.
-1/3, 0
Let z(s) be the first derivative of s**8/8400 + s**7/1400 - s**5/150 + 22*s**3/3 - 40. Let n(t) be the third derivative of z(t). Find v such that n(v) = 0.
-2, 0, 1
Suppose -5*r - 4*s + 0 - 2 = 0, -r - 7 = 3*s. Let c = 131/399 + 2/399. Factor 1/3*f**r + 0 + c*f.
f*(f + 1)/3
Let p(a) be the first derivative of a**5/5 + 19*a**4/2 + 317*a**3/3 - 460*a**2 - 1200*a + 320. Factor p(l).
(l - 3)*(l + 1)*(l + 20)**2
Let x(t) = 2*t**2 + 4*t + 2. Suppose -4*a = 2*a - 24. Suppose -n - a*n = -5. Let f(q) = q**2 + q. Let h(i) = n*x(i) - 3*f(i). Factor h(c).
-(c - 2)*(c + 1)
Let y(s) be the second derivative of s**4/2 - 3*s**2 - 33*s. Let j(b) = b**2 - 1. Let v(q) = 4*j(q) - y(q). Find z, given that v(z) = 0.
-1, 1
Let h(d) = -d**4 + d + 1. Let y(n) = 8*n**4 + 2*n**3 - 2*n**2 - 8*n - 6. Let r = 19 - 18. Let i(m) = r*y(m) + 6*h(m). Solve i(j) = 0.
-1, 0, 1
Let s be 3942/(-30) + (-1 - (6 - 3)). Let j = s - -136. Factor -2/5*i - 3/5*i**4 + 0 + 1/5*i**3 + j*i**2 + 1/5*i**5.
i*(i - 2)*(i - 1)**2*(i + 1)/5
Let m(s) be the first derivative of 15 + 1/8*s**4 - 1/3*s**3 - 12*s - 5*s**2. Factor m(j).
(j - 6)*(j + 2)**2/2
Let o(z) = -2*z**2 - 11*z + 6. Let k be o(-6). Let l be 1 + (1 - (-16)/(-10)). Find g such that -l*g**2 + k - 2/5*g = 0.
-1, 0
Let t(y) = -y**3 - 3*y**2 + 4*y. Let b be t(-4). Find n, given that -9 + 34 - 10*n + n**2 + b*n**2 + 0*n**2 = 0.
5
Suppose 583 = -5*m + 158. Let h = m - -88. Determine i, given that -3*i + 2 + 3/2*i**2 - 1/4*i**h = 0.
2
Let m(v) be the second derivative of -5*v**4/36 + 185*v**3/9 - 6845*v**2/6 + 146*v + 2. Factor m(r).
-5*(r - 37)**2/3
Let q(h) = h - 2. Let j be q(1). Let w be (5/(-3) - -1)/(j + 0). Solve -4*o - w*o**2 - 6 = 0 for o.
-3
Let q be (276/207)/((-1)/(6/(-20))). Suppose -q*r + 6/5*r**2 - 4/5 - 2/5*r**4 + 2/5*r**3 = 0. What is r?
-1, 1, 2
Let i(j) be the first derivative of -4/3*j**3 - 100*j + 20*j**2 + 33. Let i(p) = 0. Calculate p.
5
Let o(x) be the third derivative of x**6/120 - x**5/20 - x**4/6 + 9*x**2 + 4. Factor o(i).
i*(i - 4)*(i + 1)
Let z(a) = 3*a**2 + 2*a**2 + 0*a**2 - 3*a**3 + 16*a**3 - 5. Let b(v) = 20*v**3 + 8*v**2 - 8. Let y(x) = -5*b(x) + 8*z(x). Determine p, given that y(p) = 0.
0
Let q be (21 - 19) + 3/1. Factor 3*j**q + 2*j - 7*j + 2*j**3 - 2 - 6*j**2 + 7*j**4 + 1.
(j - 1)*(j + 1)**3*(3*j + 1)
Let u(l) be the third derivative of -l**8/4032 + l**7/252 - l**6/48 - 4*l**5/15 + 3*l**2. Let h(s) be the third derivative of u(s). Factor h(o).
-5*(o - 3)*(o - 1)
Find k, given that 0 + 92/7*k**3 + 32/7*k**4 + 2/7*k**5 - 288/7*k**2 + 162/7*k = 0.
-9, 0, 1
Let g(n) be the third derivative of n**6/600 - n**5/150 - n**4/30 + 4*n**3/15 + 13*n**2 - n. Determine w so that g(w) = 0.
-2, 2
Suppose -45*h - 2*g - 14 = -40*h, h = -4*g - 28. Determine w, given that 0*w + h + 1/3*w**3 + 0*w**2 = 0.
0
Let x(y) be the first derivative of y**5/25 + 2*y**4/5 - 23*y**3/15 - 3*y**2 + 28. Solve x(c) = 0.
-10, -1, 0, 3
Let d(m) be the second derivative of 0 + 1/15*m**6 - 4/5*m**5 + 0*m**2 - 14*m + 8/3*m**4 + 0*m**3. Let d(b) = 0. Calculate b.
0, 4
Let s be 1/5 + (-24)/(-5). Let h = s - 0. Factor -3*j**4 + 20*j**3 - 30*j**2 - h*j**4 + 20*j + 3*j**4 - 5.
-5*(j - 1)**4
Let f(v) be the third derivative of 0 + 1/5*v**4 - 42*v**2 + 0*v + 6/5*v**3 + 1/75*v**5. Determine h, given that f(h) = 0.
-3
Let n(k) = 4*k**2 - 17*k - 12. Let h be n(5). Let i(r) be the first derivative of 1/6*r**3 - r + h + 1/4*r**2. Factor i(a).
(a - 1)*(a + 2)/2
Let i(s) be the first derivative of 50*s**3/3 - 115*s**2 - 280*s - 47. Let m(z) = 7*z**2 - 33*z - 40. Let f(y) = -2*i(y) + 15*m(y). Factor f(r).
5*(r - 8)*(r + 1)
Let c = 413 + -408. Let y(b) be the first derivative of 8/5*b**c - 4*b**4 - 2/9*b**6 + 40/9*b**3 + 6 + 0*b - 2*b**2. Factor y(n).
-4*n*(n - 3)*(n - 1)**3/3
Let a(n) be the first derivative of -2*n**3/21 - 9*n**2/7 - 4*n + 29. Factor a(h).
-2*(h + 2)*(h + 7)/7
What is i in -32/5*i - 8/5*i**5 - 2/5*i**4 - 8/5 + 8*i**3 + 2*i**2 = 0?
-2, -1, -1/4, 1, 2
Suppose -m + 5*m + 40 = 0. Let q be 4/m*90/(-96). Suppose 0*u**2 - 1/8*u**3 - 1/4 + q*u = 0. What is u?
-2, 1
Let j(f) = -f**3 - 5*f**2 - 5*f - 1. Let n be j(-4). Let u be 4 - 9/12 - n. Factor u*r**2 - 1/2*r**3 + 0*r + 1/4*r**4 + 0.
r**2*(r - 1)**2/4
Let t be 1*1/(-2) + 130/20. Let z be (7 - 9)/(-1 - (-2)/t). Solve -2/5*f + 0 - 1/5*f**z - 3/5*f**2 = 0.
-2, -1, 0
Let s(t) = t**4 + t - 1. Let b(c) = -c**4 + 36*c**3 - 100*c**2 + 111*c - 43. Let p(m) = b(m) - 3*s(m). Factor p(w).
-4*(w - 5)*(w - 2)*(w - 1)**2
Let a(k) = 9*k**4 + 6*k**3 + k**5 - 6*k**3 + 13*k + 7 - 7*k - 2*k**2. Let n(h) = -h**4 - h - 1. Let m(y) = -5*a(y) - 35*n(y). Factor m(x).
-5*x*(x - 1)*(x + 1)**3
Let k(m) = -m**3 - 5*m**2 + 15*m - 7. Let a be k(1). Suppose -18/7 - 3*t - 3/7*t**a = 0. Calculate t.
-6, -1
Let c(o) be the first derivative of 0*o - 3 + 2/3*o**3 - 4*o**5 + 0*o**2 + 7/2*o**6 - 3/4*o**4. What is m in c(m) = 0?
-1/3, 0, 2/7, 1
Let h = -1/6595 - -6598/19785. Factor 5/3*l + h*l**2 + 0.
l*(l + 5)/3
Factor -750 - 126*t**2 - 47*t**4 + 1575*t + 3*t**5 + 366*t**3 - 1158*t**2 + 144*t**2 - 7*t**4.
3*(t - 5)**3*(t - 2)*(t - 1)
Suppose -5*r - 36 = 3*u - 255, 2*r + 266 = 4*u. Suppose 67*y**3 - u*y**3 + y + 0*y = 0. Calculate y.
-1, 0, 1
Factor -1/3*a**4 + a**3 + 0 - a + 1/3*a**2.
-a*(a - 3)*(a - 1)*(a + 1)/3
Let k(c) be the first derivative of c**5 + 75*c**4/4 + 95*c**3/3 - 435*c**2/2 + 260*c - 751. Factor k(h).
5*(h - 1)**2*(h + 4)*(h + 13)
Factor -1428 + 490 - 867 + 2*q**2 + 190*q - 7*q**2.
-5*(q - 19)**2
Suppose -238/13*u - 36/13 - 314/13*u**2 - 122/13*u**3 - 10/13*u**4 = 0. Calculate u.
-9, -2, -1, -1/5
Let o be 5 - (2*(-2 - -1) - -3). Let u(k) be the second derivative of 1/4*k**2 - 1/48*k**o + 0 + k + 1/24*k**3. Find l such that u(l) = 0.
-1, 2
Let k(y) be the third derivative of 31*y**5/15 - 29*y**4/6 - 4*y**3/3 - 523*y**2. Find h such that k(h) = 0.
-2/31, 1
Let r(t) = 54*t**4 - 28*t**3 - 2*t. Let s(j) = -110*j**4 + 56*j**3 + 5*j. Let o(z) = 5*r(z) + 2*s(z). Suppose o(c) = 0. What is c?
0, 14/25
Let i(c) be the second derivative of 0 - 1/102*c**4 + 2/51*c**3 + 1/255*c**6 + 0*c**2 + 14*c - 3/170*c**5 + 1/357*c**7. Let i(b) = 0. What is b?
-2, -1, 0, 1
Let a(o) = o**3 + 11*o**2 + 2*o + 22. Let h(z) = z**3 - 33*z**2 + 31*z + 21. Let l be h(32). Let m be a(l). Factor 0 + 0*y - 1/2*y**4 + m*y**2 + 1/2*y**3.
-y**3*(y - 1)/2
Let g(c) = -c**2 - c + 8. Let k be g(-4). Let n be (1 + k - -3)/4. Factor -2*q**2 + 2/3*q**3 + n*q + 0.
2*q**2*(q - 3)/3
Let l(y) be the first derivative of -16*y**3 + 42*y**2 - 147*y/4 - 113. Let l(d) = 0. What is d?
7/8
Let p be (-60)/(-105)*(-154)/(-44). Factor 0 + 1/3*u**3 + 4/3*u**p - 5/3*u.
u*(u - 1)*(u + 5)/3
Let u(g) be the third derivative of 0*g**3 - 1/30*g**5 - 1/120*g**4 + 0*g - 1/24*g**6 + 0 + 2*g**2. Factor u(c).
-c*(5*c + 1)**2/5
Let q(x) be the first derivative of 5*x**6/6 - 6*x**5 + 35*x**4/4 + 10*x**3 - 20*x**2 + 234. Determine y so that q(y) = 0.
-1, 0, 1, 2, 4
Let v(y) be the