 + 5039*g**4/10 + 10654*g**3/15 - 1008*g**2 - 10368*g/5 + 677. Suppose s(y) = 0. What is y?
-1, 1, 72
Let h(q) be the third derivative of q**6/280 + q**5/70 - 13*q**4/56 + 5*q**3/7 + 4*q**2 - 14*q. Find j such that h(j) = 0.
-5, 1, 2
Let q(h) be the third derivative of h**7/42 - 17*h**6/24 - 19*h**5/6 + 25*h**2 + 1. Factor q(w).
5*w**2*(w - 19)*(w + 2)
Let f(b) be the first derivative of b**6/15 - 8*b**5/25 + b**4/10 + 28*b**3/15 - 4*b**2 + 16*b/5 - 33. Solve f(l) = 0 for l.
-2, 1, 2
Let z(b) be the first derivative of 2*b**5/65 + 2*b**4/13 - 14*b**3/39 - 10*b**2/13 + 218. Factor z(o).
2*o*(o - 2)*(o + 1)*(o + 5)/13
Let i be (4 + -3)/(-5) + (-247)/(-285). Determine x, given that -2*x + 0 - i*x**2 = 0.
-3, 0
Let t(j) = 2*j**4 + 4*j**3 - 2*j**2 - 2*j + 2. Let r(q) = 5*q**4 + 12*q**3 - 7*q**2 - 7*q + 7. Let z = 40 - 42. Let y(c) = z*r(c) + 7*t(c). Factor y(k).
4*k**3*(k + 1)
Let y(h) be the third derivative of h**8/1008 - h**7/21 + 163*h**6/180 - 42*h**5/5 + 297*h**4/8 - 81*h**3 - 111*h**2. Suppose y(g) = 0. What is g?
1, 2, 9
Let s(b) = -2*b**2 + 16*b + 7. Let w be s(8). Factor -9*r**2 + 24*r**2 - 10*r + w*r**5 - 2*r**5 - 10*r**4 + 5*r**3 - 5*r**4.
5*r*(r - 2)*(r - 1)**2*(r + 1)
Let v(w) = -w**2 - w - 1. Let r(y) = 2*y**2 - 2*y - 3. Let m(t) = -2*t - 2 - 7 + 0. Let a be m(-6). Let f(p) = a*v(p) - r(p). Let f(x) = 0. What is x?
-1/5, 0
Let y(c) = 0*c - 2*c - 19*c**3 - 15*c**3 + 36*c**3. Let s(j) be the first derivative of -j**4/2 + j**2 - 1. Let w(h) = -7*s(h) - 6*y(h). Factor w(a).
2*a*(a - 1)*(a + 1)
Factor -11*b + 3*b**3 + 301 + 34 - 25*b + 97 - 24*b**2.
3*(b - 6)**2*(b + 4)
Let o(c) be the third derivative of -5*c**8/336 + 5*c**7/21 - 17*c**6/12 + 13*c**5/3 - 185*c**4/24 + 25*c**3/3 - c**2 - 2. Solve o(y) = 0 for y.
1, 2, 5
Let d(w) be the second derivative of 1/10*w**6 + 3/4*w**4 + 0 - 29*w + 3/5*w**5 - 6*w**2 - 2*w**3. Factor d(y).
3*(y - 1)*(y + 1)*(y + 2)**2
Let i(g) be the second derivative of 2*g**4 + 0*g**2 + 33/35*g**5 + 0 + 8/7*g**3 + 1/7*g**6 + 4*g. Determine l, given that i(l) = 0.
-2, -2/5, 0
Let b = 273 - 42. Let v be 2/(-8) + b/28. Suppose 15*a**4 + 13*a**4 - 12*a**3 + v*a**2 - 2*a - 20*a**4 - 2*a**5 = 0. What is a?
0, 1
Let o be 7*(-60)/(-105) + (-23)/6. Let k(f) be the third derivative of 1/2*f**3 + 0 + 0*f + 2*f**2 - 1/60*f**5 + o*f**4 - 1/60*f**6. Factor k(b).
-(b + 1)**2*(2*b - 3)
Let r(m) = -20*m + 2. Let s(w) = w**2 - 1. Suppose 6 = -3*n + 3. Let x(d) = n*r(d) - 2*s(d). Solve x(y) = 0.
0, 10
Let u(f) be the third derivative of -1/12*f**3 + 0*f - f**2 + 1/120*f**5 + 0 + 0*f**4. What is v in u(v) = 0?
-1, 1
Let w(z) be the first derivative of -7*z**5/5 - 17*z**4/4 - 2*z**3/3 + 4*z**2 - 179. Suppose w(c) = 0. Calculate c.
-2, -1, 0, 4/7
Let a(u) = -u**3 + 3*u**2 + 9*u - 17. Let r be a(4). Suppose -5*o + 6 = -2*k, -8*k + 4*o + 2 = -r*k. Suppose -3/2 + 15/4*p - 3*p**k + 3/4*p**3 = 0. Calculate p.
1, 2
Let g = 56993/5 + -11352. Let c = 47 - g. Factor -2*i**2 + 8/5*i**3 + 0 + c*i.
2*i*(i - 1)*(4*i - 1)/5
Let r = 94 - 102. Let y be (r/20)/(-1*4/40). Factor 0*k + 0 + 4/5*k**2 + 6/5*k**3 - 2*k**y.
-2*k**2*(k - 1)*(5*k + 2)/5
Factor -8/3*g + 0 + 7/3*g**2 + 1/3*g**3.
g*(g - 1)*(g + 8)/3
Let o(q) be the first derivative of -q**4/9 + 100*q**3/27 + 24. Factor o(c).
-4*c**2*(c - 25)/9
Let v(x) be the third derivative of -x**7/1995 + 7*x**6/570 + 11*x**5/570 - 35*x**4/19 - 300*x**3/19 + 16*x**2 - 4*x. Solve v(s) = 0.
-3, 10
Let q(i) be the first derivative of -i**6/960 - i**5/120 - i**4/48 + 15*i**2 - 4. Let k(s) be the second derivative of q(s). Solve k(f) = 0.
-2, 0
Suppose 125 = 9*t + 16*t. Let i(z) be the second derivative of 1/255*z**6 + 0*z**4 + 0*z**3 + 0 + 5*z + 0*z**2 - 1/170*z**t. Find w, given that i(w) = 0.
0, 1
Let x(q) be the first derivative of -30*q - 5/3*q**3 + 25/2*q**2 - 2. Factor x(l).
-5*(l - 3)*(l - 2)
Let u = -2017/30 - -699/10. Suppose -u*j**2 - 4/3*j + 0*j**3 + 4/3*j**5 + 0 + 8/3*j**4 = 0. What is j?
-1, 0, 1
Let s = 18 - -7. Let h be (5 + -3)*1 + s. Solve -6 - h*i**2 - 21*i**2 + 21*i**3 - 9*i + 42*i = 0.
2/7, 1
Let p(c) be the first derivative of -3*c**4/4 - 2*c**3 + 9*c**2/2 - 193. Suppose p(d) = 0. Calculate d.
-3, 0, 1
Factor -2*z + 1 - 1/4*z**3 + 5/4*z**2.
-(z - 2)**2*(z - 1)/4
Let w be -1 + (-2)/(-1) + -1. Suppose -5*f + 13 + 12 = w. Find x, given that -2*x**2 + f*x + 2*x**2 - 4*x - x**2 = 0.
0, 1
Suppose 0 = -c - 3, 2*k + 0*k + 3*c = -1. Suppose -5*u = -2*b + 10, 28*b - 23*b + 17*u + 34 = 0. Factor 2/3*n**2 + b*n + 0 - n**k + 5/3*n**3.
-n**2*(n - 2)*(3*n + 1)/3
Let z(f) be the first derivative of -f**3/3 - 4*f**2 + 23*f + 60. Let q be z(-10). Factor i - 5/2*i**2 + 0 + i**q.
i*(i - 2)*(2*i - 1)/2
Suppose -3*u = 15, u + 3 + 2 = 5*q. Let t be (q - 1) + 18/3. Solve -3*v - 4 - t - 3*v**2 + 9 = 0.
-1, 0
Let g(k) = 5*k + 0*k - 2 + 9 - 3*k. Let m be g(-2). Factor 0*f + 1/9*f**2 - 1/9*f**m + 0.
-f**2*(f - 1)/9
Let j = -664 + 3321/5. Factor -j*s**3 - 8/5*s**4 + 0 + 2/5*s**2 + 0*s - s**5.
-s**2*(s + 1)**2*(5*s - 2)/5
Let o(j) be the second derivative of 3/4*j**4 + 0*j**2 + 0 + 9*j - j**3 - 3/20*j**5. Determine q, given that o(q) = 0.
0, 1, 2
Factor 0*f - 2*f**4 + 4*f**2 + 7*f**2 - 12*f + 0*f**2 - f**2 + 4*f**3.
-2*f*(f - 3)*(f - 1)*(f + 2)
Let r be ((-44)/33)/(24/(-16)). Factor -2/3*i**2 + 8/9*i - 4/9*i**3 + 2/9*i**4 + r.
2*(i - 2)**2*(i + 1)**2/9
Let g(t) = 24*t**4 + 47*t**3 + 16*t**2 - 137*t + 61. Let o(y) = -9*y**4 - 16*y**3 - 5*y**2 + 46*y - 20. Let x(l) = 4*g(l) + 11*o(l). What is m in x(m) = 0?
-2, 1, 4
Let 95*t**2 + 45*t + 61257*t**4 + 36*t**3 - 61252*t**4 + 19*t**3 = 0. Calculate t.
-9, -1, 0
Let y(h) = h**3 + 8*h**2 + 11*h + 25. Let d(w) = w**3 + w**2 - w - 1. Let g(s) = -2*d(s) + y(s). Let z be g(8). Factor 1/3*j**z - 1/3*j + 1 - j**2.
(j - 3)*(j - 1)*(j + 1)/3
Let p(x) be the second derivative of 0*x**2 - 11*x + 1/3*x**3 + 0 - 1/12*x**4. Determine k so that p(k) = 0.
0, 2
Let k(m) = -4*m**3 + 4*m**2 + m - 10. Let z(y) = y + 1. Let x(q) = k(q) + 3*z(q). Let l(a) be the first derivative of x(a). Factor l(j).
-4*(j - 1)*(3*j + 1)
Let h(n) be the second derivative of -n**10/25200 + n**9/6300 - n**8/5600 - 7*n**4/4 + 13*n. Let m(y) be the third derivative of h(y). Factor m(z).
-6*z**3*(z - 1)**2/5
Let 2/3*g**4 + 242/3*g + 286/3*g**2 + 0 + 46/3*g**3 = 0. What is g?
-11, -1, 0
Let g = -7 + 9. Let 16*j**2 - 20 - 7*j**2 - 14*j**g + 27*j - 2*j = 0. Calculate j.
1, 4
Let x(w) be the first derivative of 2*w**6/51 + 18*w**5/85 - 5*w**4/34 - 440. Factor x(l).
2*l**3*(l + 5)*(2*l - 1)/17
Suppose -1480 = 5*f - 15*f. Find t such that -292 + 144 - 6*t + 3*t**2 + f = 0.
0, 2
Let r(t) be the third derivative of 0 - 5*t**2 + 0*t + 1/42*t**7 + 1/24*t**6 + 5/3*t**3 - 1/4*t**5 - 5/24*t**4. Suppose r(o) = 0. What is o?
-2, -1, 1
Let t(m) = -m**4 - m**3 + m**2 - m - 1. Let x(i) = -72*i**4 - 136*i**3 - 56*i**2 - 4. Let a(u) = 4*t(u) - x(u). Factor a(y).
4*y*(y + 1)**2*(17*y - 1)
Let x = -1244 - -1244. Factor 4/7*f**2 + x*f + 0.
4*f**2/7
Let y(l) be the second derivative of -l**8/1120 - l**7/168 - l**6/240 + l**5/20 + 5*l**4/12 - 11*l. Let x(f) be the third derivative of y(f). Factor x(b).
-3*(b + 1)*(b + 2)*(2*b - 1)
Let x(b) = -5*b - 7. Let z be x(-2). Let -q**3 + 5*q**2 + 5*q**z - 8 - 21*q**2 + 30*q - 10*q = 0. Calculate q.
1, 2
Let q(d) = 6*d**2 + d - 1. Let c be q(1). Suppose 2*m + c = 0, -2*l - m = -4*m - 15. Factor -7*v**2 + 6 - 3*v**2 + 7*v**2 + 0*v**2 - l*v.
-3*(v - 1)*(v + 2)
Let r(z) = -644*z + 3. Let m be r(0). Factor -4/5*l**2 + 2/5*l**m + 2/5*l + 0.
2*l*(l - 1)**2/5
Let g = 2/2685 - -7154/8055. Factor 0 + 0*m**2 + 0*m + g*m**3 - 28/9*m**4.
-4*m**3*(7*m - 2)/9
Let c(u) = u**2 + 6*u - 4. Let f(y) = -y**2 - 5*y + 3. Let w(m) = 5*c(m) + 6*f(m). Let s(k) = 6*k**2 - 6*k + 18. Let z(q) = -s(q) - 5*w(q). Factor z(g).
-(g - 4)*(g - 2)
Factor -40 - 45*b**4 - 117*b - 90*b**4 - 231*b**2 - 267*b**2 + 111*b**2 - 399*b**3 + 46.
-3*(b + 1)**3*(45*b - 2)
Factor 0 + 16*i - 8/3*i**2 + 1/3*i**4 - 5/3*i**3.
i*(i - 4)**2*(i + 3)/3
Let o(p) = -p**2 + 8*p + 11. Let i be o(9). Factor 2*d**3 - i*d**2 - 4*d**2 + 74*d - 70*d.
2*d*(d - 2)*(d - 1)
Let o be 7 + (148/(-112) - 2) + (-6)/24. Let 0 - 38/7*v**3 + o*v**2 - 12*v**4 + 8/7*v = 0. What is v?
-2/3, -2/7, 0, 1/2
Suppose 4*d = 4*p + 8, -3*p + 9 = 5*d - 25. Suppose v = -2*s + 7, -p*v = s + v -