et y(h) = -6*a(h) + 44*c(h). Factor y(z).
-4*(z - 1)**3
Suppose -4*g = -q + 3, 3*q - 3 = 3*g + 2*q. What is a in 0 + 1/4*a**4 + 1/2*a**3 + g*a + 1/4*a**2 = 0?
-1, 0
Let w(t) be the first derivative of 5*t**3/12 + 5*t**2/2 + 15*t/4 + 8. Factor w(x).
5*(x + 1)*(x + 3)/4
Let i(r) = -r**3 - r**2 + 1. Let w be 2/(-6)*3/1. Let c(k) = 7*k**3 + 7*k**2 - 4*k - 7. Let o(p) = w*c(p) - 3*i(p). Suppose o(m) = 0. What is m?
-1, 1
Let 18*a**2 + 3/2*a**4 + 0 - 12*a - 9*a**3 = 0. What is a?
0, 2
Let s be -1 + (1 + 5)/3. Let a be (1/3)/(s/12). Suppose -a*z + 3*z + 2 + 2*z - z**2 = 0. What is z?
-1, 2
Let u be -2 + 4 + 1 - 1. Suppose -u*w = -14 + 2. Let q(d) = 13*d**2 - 19*d + 8. Let y(l) = 7*l**2 - 10*l + 4. Let r(g) = w*q(g) - 11*y(g). Factor r(s).
(s - 2)**2
Let g(r) be the first derivative of -3*r**5/25 + 3*r**4/4 - 7*r**3/5 + 9*r**2/10 + 16. Solve g(x) = 0 for x.
0, 1, 3
Suppose -f + 3*w = 2, -9 = -f - 3*f - 5*w. Determine o so that -2*o**2 + 4*o - 3*o - 3*o + f + o**5 - 2*o**3 + 3*o + o**4 = 0.
-1, 1
Let n(i) be the third derivative of 3*i**2 + 0 + 0*i + 1/105*i**5 - 2/21*i**3 + 1/60*i**6 - 1/12*i**4. Factor n(k).
2*(k - 1)*(k + 1)*(7*k + 2)/7
Let f be 390/(-351)*3/(-5). Let -f*p**4 + 0*p**2 + 0 + 4/3*p**3 + 0*p = 0. What is p?
0, 2
Let z(q) be the second derivative of -q**4/3 - 8*q**3 - 72*q**2 + 11*q. Factor z(n).
-4*(n + 6)**2
Let y be (5 - 11)*(-2)/4. Factor -9*t**2 - 3 - 11*t - y*t**3 + 2*t + 0*t.
-3*(t + 1)**3
Let t(n) be the third derivative of n**7/8820 + n**6/420 + 3*n**5/140 + n**4/12 - 5*n**2. Let h(p) be the second derivative of t(p). Factor h(s).
2*(s + 3)**2/7
Let m be 1 - -3*(-20)/84. Let n = 186 - 1300/7. Suppose -n*s**2 + 4/7*s - m = 0. Calculate s.
1
Let x be (-4)/10*(1 - -4). Let k be (-1 - (0 + x))*4. Determine t so that -6/5*t**3 - 14/5*t**5 + 0*t + 0 - 24/5*t**k + 4/5*t**2 = 0.
-1, 0, 2/7
Let m be 21/(-14)*(-6)/15. Let c(k) be the first derivative of 1/6*k**6 - 1/3*k**3 + 3/4*k**4 + 0*k + 2 + 0*k**2 - m*k**5. Factor c(r).
r**2*(r - 1)**3
Let q be 4*1*3/4. What is y in -2*y**2 + 0*y**3 + 5*y**q + 0*y**2 = 0?
0, 2/5
Let p = -12 + 6. Let n = 8 + p. Factor -3*z**3 + 2*z**3 + 2*z**n + 3*z**3 - 2*z**5 - 2*z**4.
-2*z**2*(z - 1)*(z + 1)**2
Find g such that 112/9*g**2 - 32/9*g**5 + 38/9*g + 4/9 + 94/9*g**3 - 16/9*g**4 = 0.
-1, -1/4, 2
Let d(m) = m**3 + 5*m**2 - m - 6. Let v be d(-5). Let o(i) = 2*i**2 + 4*i + 2. Let l(s) = -s - 1. Let h(g) = v*o(g) - 6*l(g). Factor h(a).
-2*(a - 2)*(a + 1)
Suppose -7*o = 3*o - o. Factor -h**2 + h + o + 1/4*h**3.
h*(h - 2)**2/4
Let c(i) be the first derivative of 0*i**2 - 2/5*i**5 - 3 + 6/5*i**4 + 0*i - 8/15*i**3. Factor c(x).
-2*x**2*(x - 2)*(5*x - 2)/5
Let z(j) be the first derivative of -j**4/12 - 5*j**3/9 - 4*j**2/3 - 4*j/3 + 9. Let z(p) = 0. Calculate p.
-2, -1
Let g = 9 + -7. Factor 2*n - 4*n**g + 1 + n**2 + 2*n**2 - 2.
-(n - 1)**2
Solve 8 + 4*c + 1/2*c**2 = 0 for c.
-4
Find d such that -27/4*d**2 - 45/4*d**3 + 0 - 3/4*d**5 + 0*d - 21/4*d**4 = 0.
-3, -1, 0
Let z(h) = -2*h**3 + 15*h**2 + 6*h + 18. Let d be z(8). Determine b so that 2/5*b - 14/5*b**3 - 4/5*b**d - 8/5*b**4 + 0 = 0.
-1, 0, 1/4
Let x(p) be the first derivative of -p**6/360 + p**5/120 - p**3 + 4. Let m(h) be the third derivative of x(h). Suppose m(w) = 0. What is w?
0, 1
Let u be (2/10)/(7*(-5)/(-175)). Let -u - 5/4*d**2 - 1/4*d**3 - 2*d = 0. What is d?
-2, -1
Let s(n) be the second derivative of n**5/40 + n**4/16 + 5*n**2/2 + 7*n. Let m(w) be the first derivative of s(w). Solve m(p) = 0.
-1, 0
Let y(q) be the first derivative of -3*q**4/8 - q**3/2 + 1. Factor y(i).
-3*i**2*(i + 1)/2
Let w be ((-8)/8)/(-3 - -1). Determine n, given that 0 - 1/2*n**3 - w*n - n**2 = 0.
-1, 0
Suppose 2*r = -2*r + 12. Suppose r*u - 2 = -i + 5, -4 = -4*i. Factor 3*m - m - 2*m**4 + 4*m**u + m**2 - 2*m**3 - 3*m**2.
-2*m*(m - 1)*(m + 1)**2
Let c(l) = -l**3 + l. Let v(g) = 2*g**3 - 4*g**2 - 6*g. Let n(r) = -c(r) - v(r). Find b such that n(b) = 0.
-1, 0, 5
Let n(s) be the third derivative of -2*s**7/105 + s**6/15 + 26*s**2. What is y in n(y) = 0?
0, 2
Determine j so that 2/3*j**3 + 0*j + 0 + 2/3*j**2 = 0.
-1, 0
Let a = 255 + -54. Factor 201 - a + 2*y**2 - 2*y**4.
-2*y**2*(y - 1)*(y + 1)
Let y(x) be the second derivative of 6*x + 0*x**2 + 1/6*x**4 + 1/20*x**5 + 0 + 1/6*x**3. Find i, given that y(i) = 0.
-1, 0
Suppose 5*n - 6 = 14. Solve -1/3*a**3 + 0 + 0*a**2 + 1/3*a**n + 0*a = 0 for a.
0, 1
Let h(x) = 36*x - 5*x**2 - 13*x**2 - 36 + 6 + 3*x**3. Let k(l) = 1. Let y(u) = -h(u) - 6*k(u). Factor y(w).
-3*(w - 2)**3
Let d(o) = -o**2 - 2 + o + 5 + 0*o. Let s(g) = 4*g**2 - 4*g - 10. Let m(u) = -u**2 - 3*u + 1. Let v be m(-4). Let p(q) = v*s(q) - 10*d(q). Factor p(r).
-2*r*(r - 1)
Let c be (-19)/96*10 + 2. Let w(s) be the third derivative of 0*s - 1/480*s**6 + 0*s**3 + c*s**4 + 2*s**2 + 1/240*s**5 + 0. Factor w(r).
-r*(r - 2)*(r + 1)/4
Let k be -1*-1*(-2)/(-8). Factor -k*i**3 + 3/4*i**2 + 0 - 1/2*i.
-i*(i - 2)*(i - 1)/4
Let m(q) be the third derivative of q**6/135 - 19*q**5/270 + 11*q**4/108 + 4*q**3/27 + 18*q**2. Solve m(c) = 0 for c.
-1/4, 1, 4
Let z be (-3)/((-45)/6) + (-2)/5. Determine p, given that 0 + 0*p**3 + 2/5*p**2 + z*p - 2/5*p**4 = 0.
-1, 0, 1
Determine w, given that w**5 + 9*w**4 - 9*w**4 + w**5 - 4*w**2 - 6*w**3 = 0.
-1, 0, 2
Let p(y) be the first derivative of -y**4/12 + y**3/3 - y**2/2 + y/3 + 3. What is f in p(f) = 0?
1
Let h(c) = c - 5. Let f be h(7). Determine n, given that -6*n**2 - 4*n + 4*n**f + 4*n**2 = 0.
0, 2
Let c(u) = 2*u**4 - 12*u**3 + 30*u**2 + 44*u - 8. Let v(q) = -q**4 + 8*q**3 - 20*q**2 - 29*q + 5. Let f(i) = -5*c(i) - 8*v(i). What is z in f(z) = 0?
-3, -1, 0, 2
Let n = 139 + -139. Factor 2/3*h**2 - 2/3 + n*h.
2*(h - 1)*(h + 1)/3
Let s(j) be the second derivative of 21*j**5/80 - 5*j**4/16 - j**3/4 + 4*j. Factor s(l).
3*l*(l - 1)*(7*l + 2)/4
Let k(u) be the third derivative of u**8/672 - u**7/420 - u**6/240 + u**5/120 - 3*u**2. Determine w, given that k(w) = 0.
-1, 0, 1
Let y be (2 + -3)/(-6 + 5). Let v be (1 + y)*8/12. Factor -5/3*w**2 + v*w + 1/3.
-(w - 1)*(5*w + 1)/3
Find j such that 31 - 2*j + 25 - j - 50 - 3*j**2 = 0.
-2, 1
Let s(l) be the first derivative of -4 - 27/2*l**2 + 6*l + 7*l**3. Factor s(y).
3*(y - 1)*(7*y - 2)
Let f(z) be the second derivative of -81*z**5/20 + 33*z**4/2 - 38*z**3/3 + 4*z**2 - 2*z. Factor f(p).
-(p - 2)*(9*p - 2)**2
Let f(k) be the third derivative of k**5/390 - k**4/78 + 6*k**2. Determine x, given that f(x) = 0.
0, 2
Let l = 15 - 14. Let i(g) = 12*g**3 + 8*g**2 - 16*g - 16. Let h(d) = d**3 + d**2 - d - 1. Let f(u) = l*i(u) - 16*h(u). Factor f(k).
-4*k**2*(k + 2)
Suppose -2*n + g - 800 = -g, -2*n + g = 796. Let o be (-2)/(-9) - (-16)/n. Find h such that -4/11*h - 2/11 - o*h**2 = 0.
-1
Let t(a) be the third derivative of 0 - 1/3*a**3 - 1/6*a**4 - 1/30*a**5 + 0*a + 3*a**2. Find b such that t(b) = 0.
-1
Let c(a) be the second derivative of -a**3/6 - 7*a**2/2 + 2*a. Let m be c(-10). Factor 2/5*u**m - 2/5 - 6/5*u**2 + 6/5*u.
2*(u - 1)**3/5
Let b(k) be the first derivative of 0*k - 3/4*k**4 - 1 - 1/5*k**5 - k**3 - 1/2*k**2. Determine q so that b(q) = 0.
-1, 0
Let t(c) be the third derivative of -16/15*c**5 + 0*c + 2*c**2 + 38/15*c**4 - 32/15*c**3 - 1/6*c**6 + 0. Solve t(l) = 0 for l.
-4, 2/5
Let g(q) = 4*q**3 - q**2 - 2*q - 2. Let p(s) = -s - 1. Let z(u) = -g(u) + 2*p(u). Find o, given that z(o) = 0.
0, 1/4
Let g**2 + 0*g + 1/4*g**3 + 0 = 0. What is g?
-4, 0
Let x(o) be the first derivative of o**8/5040 + o**7/840 + o**6/360 + o**5/360 - o**3/3 - 1. Let j(f) be the third derivative of x(f). Factor j(i).
i*(i + 1)**3/3
Let y = -470/3 - -158. Let m = 91/255 - 2/85. Factor -5/3*v**2 + y*v + m.
-(v - 1)*(5*v + 1)/3
Factor 2*n**2 + 2/3 + 2*n + 2/3*n**3.
2*(n + 1)**3/3
Let k(c) = -3*c**2 + 3*c - 11. Let u(f) = f**2 - f + 4. Let s(j) = -6*k(j) - 17*u(j). Determine i, given that s(i) = 0.
-1, 2
Let m = 3663/5 + -729. Factor 0*f - m*f**4 + 0 + 0*f**2 + 4/5*f**3 + 14/5*f**5.
2*f**3*(f - 1)*(7*f - 2)/5
Let b = -21 + 38. Suppose 0 = 3*u - 2*s - b, 0 = -2*u + s - 0*s + 10. Factor 1/3 - 1/3*y**2 + 1/2*y**u - 1/2*y.
(y - 1)*(y + 1)*(3*y - 2)/6
Let k(w) = -w**2 - 4*w. Let t be k(-3). Determine l, given that 0*l**2 - t*l - 3*l**2 - 4*l**2 + 4*l**2 = 0.
-1, 0
Let l(w) be the first derivative of -4*w**5/5 - 4*w**4 + 4*w**3/3 + 8*w**2 - 2