f**h. Solve l(y) = 0 for y.
-1, 1, 2
Let n(k) = -k**2 + 3*k + 3. Let h be n(3). Let d be (26 - 30)/(2*-1). Factor -y**2 - 3*y - h + 3 + d*y.
-y*(y + 1)
Suppose 1/4*w**4 + 3/4*w**2 - 5/2*w + 0 + 3/2*w**3 = 0. What is w?
-5, -2, 0, 1
Suppose 0 = -9*o + 46 + 8. Let z = -4 + o. What is m in -1/6 + 1/6*m**z + 0*m = 0?
-1, 1
Suppose 14*z - 40 = -6*z. Suppose -4*p = -z*n + 2 - 6, 4*p = -2*n + 12. Factor 4/7 + 2/7*v**3 - 2/7*v - 6/7*v**n + 2/7*v**4.
2*(v - 1)**2*(v + 1)*(v + 2)/7
Let x(z) = -z**3 + 19*z**2 - 109*z - 105. Let i(m) = -20*m**2 + 105*m + 105. Let g(p) = 6*i(p) + 5*x(p). Factor g(w).
-5*(w - 3)*(w + 1)*(w + 7)
Suppose -16 = -m - 4*z, -4*m + 0*z + 2*z = -10. Suppose -m*w = w - 10. Factor o**2 - 2*o**w - 18*o - 2 + 21*o.
-(o - 2)*(o - 1)
Let p(w) = 10*w - 13*w + 6*w**2 - w**3 + 4*w. Let a be p(6). Suppose -4*b - b**3 - 4*b**2 - a*b**3 - 2*b**2 + 5*b**3 = 0. What is b?
-2, -1, 0
Determine l so that -1/2*l + 1/4*l**2 + 1/4 = 0.
1
Let j = 30 - 52. Let l = j - -34. Factor 0 + n - 3*n**4 + 0 - 13*n + l*n**2 + 3*n**3.
-3*n*(n - 2)*(n - 1)*(n + 2)
Let i(q) = -2*q**5 - 3*q**4 - 10*q**3 - 9*q**2 + 3. Let k(w) = w**5 + w**4 + 4*w**3 + 5*w**2 - w - 1. Let b(o) = -3*i(o) - 7*k(o). Factor b(t).
-(t - 1)**4*(t + 2)
Let v = 2/17321 - -34628/121247. Factor 0*h**4 + 0*h**2 - 1/7*h**5 + v*h**3 + 0 - 1/7*h.
-h*(h - 1)**2*(h + 1)**2/7
Let p = -17/5 - -163/45. Determine h, given that -2/9*h**2 + 0 - p*h = 0.
-1, 0
Let u(q) = -5*q**2 - 176*q - 8100. Let d(i) = 6*i**2 + 175*i + 8100. Let h(z) = 4*d(z) + 5*u(z). Factor h(w).
-(w + 90)**2
Let i be (-80)/(-56) - (-48)/84. What is m in 1/4*m**3 + 0 + 0*m + 1/4*m**i = 0?
-1, 0
Factor 7/2*q**2 - 4*q + 1/2*q**3 + 0.
q*(q - 1)*(q + 8)/2
Let k(p) be the first derivative of 4/5*p**5 - 4/3*p**2 - 1/9*p**6 - 13/6*p**4 - 35 + 8/3*p**3 + 0*p. Solve k(c) = 0 for c.
0, 1, 2
Let a(r) = 3*r**2 - 21*r + 17. Let q(f) = 4*f**2 - 31*f + 25. Let j(s) = -7*a(s) + 5*q(s). Let u be j(-6). Factor 3*o**2 + 12*o**3 + o**2 + 18*o - u*o.
4*o**2*(3*o + 1)
Solve -4*i**3 + 12 + 9*i + 22*i + 20*i**2 - 59*i = 0.
1, 3
Let c(i) = -5*i**2 - 115*i - 180. Let m(n) = -2*n**2 - 58*n - 90. Let b(w) = -3*c(w) + 5*m(w). Determine d, given that b(d) = 0.
-9, -2
Let i(v) be the second derivative of -v**8/1512 + v**7/315 - v**6/180 + v**5/270 - 2*v**2 + 6*v. Let b(q) be the first derivative of i(q). Factor b(h).
-2*h**2*(h - 1)**3/9
Let a = -54 + 30. Let f be ((-4)/9)/(a/108). Factor 4 - 16/3*n + 4/3*n**f.
4*(n - 3)*(n - 1)/3
Let n be -3 - (-2 - -4 - 18). Let m = -5 + n. Solve 12*b**3 - 53 - 4*b**4 + 53 - m*b**2 = 0.
0, 1, 2
Let n(r) be the second derivative of r**6/300 + r**5/75 - r**4/15 - r**3/2 + 14*r. Let z(s) be the second derivative of n(s). What is x in z(x) = 0?
-2, 2/3
Suppose -p = -19*p. Let i(u) be the second derivative of 1/20*u**5 + 3/2*u**3 + 0*u**2 - 3*u - 1/2*u**4 + p. Determine b, given that i(b) = 0.
0, 3
Let b = 8114/1845 + -36/205. Let o = b - 32/9. Determine g so that o*g + 2/3*g**3 - g**2 - 1/6 - 1/6*g**4 = 0.
1
Suppose 10*q - 12*q + 10 = -2*n, 4*n = -3*q + 15. Solve 0 + 2/3*k**3 - 2/3*k + n*k**2 = 0.
-1, 0, 1
Find d, given that 18*d**2 + 280 - 601 - 104*d + 297 = 0.
-2/9, 6
Let v be 912/2288 + 7/(-77). Factor 0 - 6/13*k**3 - 2/13*k**4 - v*k**2 + 0*k.
-2*k**2*(k + 1)*(k + 2)/13
Suppose 40*i = 8*i + 64. Factor -4/5*l**i + 0*l + 0 - 2/5*l**3.
-2*l**2*(l + 2)/5
Let h be 18/((180/8)/9) - 7. What is g in 0 - 1/5*g**2 - h*g**3 + 2/5*g = 0?
-2, 0, 1
Let q = 29581 + -29578. Determine u so that 1/4*u**2 + 1/4*u**q + 0 - 1/4*u**4 - 1/4*u = 0.
-1, 0, 1
Let l = 16 - 12. Suppose 3*d - s = -0*s + 4, -s = d - 4. Factor 3*b - 11/3*b**d + 4/3*b**l + 0*b**3 - 2/3.
(b - 1)*(b + 2)*(2*b - 1)**2/3
Let n(f) be the first derivative of -1 + 1/3*f**3 + f**4 + 0*f - 3/5*f**5 - f**2. Find v, given that n(v) = 0.
-2/3, 0, 1
Let d(h) be the first derivative of 3/4*h**4 + 0*h**2 + 0*h - 2*h**3 + 11. Let d(k) = 0. What is k?
0, 2
Let k(d) be the third derivative of -d**7/35 - 7*d**6/48 - 11*d**5/40 - 3*d**4/16 + d**3/12 + 88*d**2. Factor k(h).
-(h + 1)**3*(12*h - 1)/2
Factor -107*y + 37*y - 66 + 9*y**2 - 23*y - 3*y**4 + 33*y**3.
-3*(y - 11)*(y - 2)*(y + 1)**2
Let -190*z**2 - 39/4*z**3 + 1521/8 + 39/4*z - 1/8*z**4 = 0. What is z?
-39, -1, 1
Let g(n) = 2*n + 5. Let h(y) = y**2. Let a(r) = g(r) + h(r). Let p be a(0). Factor 0*s - 2/5*s**4 + 0 + 6/5*s**p + 0*s**2 - 4/5*s**3.
2*s**3*(s - 1)*(3*s + 2)/5
Let w(h) = h + 14. Suppose 0 = -2*l - 3*l + 2*c - 68, 64 = -5*l + c. Let v be w(l). Factor 0*p - 2*p - 2*p**3 + 6*p**v + 0*p**2 - 2*p**2.
-2*p*(p - 1)**2
Let v(y) be the third derivative of -27*y**2 - 7/24*y**4 + 1/60*y**6 + 0*y - 1/420*y**7 + 2/3*y**3 + 0 + 1/40*y**5. Let v(j) = 0. What is j?
-2, 1, 4
Let f be (8 + -6)/((-7)/(-3 - 4)). Suppose 0 - 2/3*z**4 - f*z**2 + 2/3*z + 2*z**3 = 0. Calculate z.
0, 1
Let j be (1*(-2 + 1))/((-3)/12). Let s(w) be the third derivative of -5/8*w**j + 0 + 0*w - 3/20*w**5 + w**2 + w**3. Let s(i) = 0. Calculate i.
-2, 1/3
Let t(h) be the first derivative of h**6/6 + 11*h**5/5 + 17*h**4/2 + 14*h**3/3 - 35*h**2/2 - 25*h - 56. Factor t(j).
(j - 1)*(j + 1)**2*(j + 5)**2
Let z(o) be the second derivative of -o**5/100 - 2*o**4/15 - 19*o**3/30 - 6*o**2/5 + 95*o. Find s such that z(s) = 0.
-4, -3, -1
Let m be 3/(4/(140/(-15))). Let f be (-8)/m*35/50. Suppose -f*u + 0 - 4/5*u**4 - 12/5*u**2 - 12/5*u**3 = 0. What is u?
-1, 0
Let c(o) = -o**5 - 7*o**4 + 18*o**3 - 25*o**2 + o. Let g(v) = v**4 - v**3 + v**2 + v. Let a(u) = -3*c(u) - 21*g(u). Let a(j) = 0. Calculate j.
-4, 0, 1, 2
Let d(q) = -15*q**3 + 3*q**2 - 8*q - 10. Let z(u) = 8*u**3 + u**2 - 1. Let o(f) = 2*d(f) + 4*z(f). Determine j, given that o(j) = 0.
-6, -1, 2
Let h(i) be the first derivative of 2*i**5/45 - 5*i**4/18 - 2*i**3/9 + 13*i**2/9 + 20*i/9 + 35. Factor h(t).
2*(t - 5)*(t - 2)*(t + 1)**2/9
Let j(g) be the second derivative of -65*g**4/48 - g**3/12 + 3*g + 8. Factor j(l).
-l*(65*l + 2)/4
Let h(t) be the third derivative of -1/120*t**4 + 1/1680*t**8 - 1/525*t**7 + 0*t + 1/150*t**5 + 39*t**2 + 0*t**6 + 0*t**3 + 0. Factor h(l).
l*(l - 1)**3*(l + 1)/5
Let x(i) = -18*i**3 - i**2 - i + 2. Let h be x(1). Let w be (2/(-4))/(3/h). Let 1 + 4*l**4 - 3 + 2 + 4*l**w - 8*l**2 = 0. Calculate l.
-2, 0, 1
Let o be 749*(-3)/(-189) - 9. Find w such that 20/9*w**3 + o*w**2 - 2/9 + 4/9*w = 0.
-1, -1/2, 1/5
Let y(l) = -15*l**2 + 177*l. Let v(k) = -3*k**2 + 35*k. Let o(d) = -24*v(d) + 5*y(d). Factor o(a).
-3*a*(a - 15)
Let i(h) be the second derivative of -4*h**3 + 2/21*h**7 + 0 + 0*h**2 - 2/3*h**6 + 19*h + h**5 + 5/3*h**4. Suppose i(w) = 0. Calculate w.
-1, 0, 1, 2, 3
Let k = -995/2 - -18893/38. Let x = 31/38 + k. Factor x + 8*m**2 - 4*m.
(4*m - 1)**2/2
Let v(z) be the third derivative of 1/35*z**7 - 17/30*z**5 + 2/3*z**3 - 8*z**2 + 1/42*z**8 + 0*z - 13/60*z**6 - 1/4*z**4 + 0. Factor v(m).
2*(m - 2)*(m + 1)**3*(4*m - 1)
Factor 10*d**2 - 517 - 24*d + 409 - 6*d**2.
4*(d - 9)*(d + 3)
Let k(v) be the first derivative of 5*v**4/4 - 5*v**3/6 - 5*v**2 - 14*v - 3. Let g(y) be the first derivative of k(y). Factor g(u).
5*(u - 1)*(3*u + 2)
Let b(m) be the third derivative of -m**6/12 - m**5/4 + 5*m**3/6 + 5*m**2. Factor b(c).
-5*(c + 1)**2*(2*c - 1)
Let b(q) = 5*q - 12. Let w be b(3). Factor 1209 - 8130 + 2940*m - 210*m**2 + 5*m**w - 6799.
5*(m - 14)**3
Let z be 231/21*4/22. Factor -1/2 + 2*i - 3*i**z + 2*i**3 - 1/2*i**4.
-(i - 1)**4/2
Let z = 11 - 9. Let w be z/(-10) + 2/20*2. Find c, given that 4/3*c**2 - 4/3*c**4 - 14/3*c**3 + 0*c + 14/3*c**5 + w = 0.
-1, 0, 2/7, 1
Suppose -22*o + 12*o - 20*o = 20*o. Determine t so that -2/5*t**2 - t**3 - 4/5*t**4 + 0 - 1/5*t**5 + o*t = 0.
-2, -1, 0
Let y(x) be the third derivative of -x**7/1050 - x**6/120 - 7*x**5/300 - x**4/40 + 24*x**2. Suppose y(a) = 0. Calculate a.
-3, -1, 0
Let c = -17980 - -17983. Factor 3/2 + 3/2*k - c*k**2.
-3*(k - 1)*(2*k + 1)/2
Let f = -144 + 149. Let j(m) be the third derivative of -3/4*m**3 + 0 + 0*m - 1/120*m**f + 1/8*m**4 + m**2. Factor j(g).
-(g - 3)**2/2
Suppose 0 = 2*i + 4 - 12. Let q be (-22)/(-55) + 24/(-110). Let -6/11*b**2 - 2/11*b - q*b**i + 0 - 6/11*b**3 = 0. Calculate b.
-1, 0
Let h(z) = -6*z**2 - z - 1. Let c(i) = -37*i**2 + 35*i - 6. Let n(q) = -c(q) + 6*h(q). Determine r, given that n(r) = 0.
0, 41
Suppose 0 = 2*v - 6*v + 20. Factor 6*b*