be y/(-5) + 6/15. Determine j, given that 0*j**2 + j**2 - w + 0 = 0.
-1, 1
Let z = -2/17 + 74/51. Let k(r) be the first derivative of z*r + 0*r**2 - 1/12*r**4 - 2 - 1/3*r**3. Factor k(f).
-(f - 1)*(f + 2)**2/3
Let g(y) be the third derivative of -7*y**6/120 - 9*y**5/80 + y**4/32 + y**3/12 - 8*y**2. Find b such that g(b) = 0.
-1, -1/4, 2/7
Suppose 2*a = 5*a + a. Let b(k) be the second derivative of -1/6*k**3 + a - 3/8*k**4 + 0*k**2 - 1/10*k**5 - k. Let b(z) = 0. Calculate z.
-2, -1/4, 0
Factor 0 + 8/3*p**3 + 5/3*p**4 + 4/3*p**2 + 0*p + 1/3*p**5.
p**2*(p + 1)*(p + 2)**2/3
Suppose -l = -3*l - 2*l. What is n in -3/5*n**4 + l - 9/5*n**2 + 9/5*n**3 + 3/5*n = 0?
0, 1
Let w(h) = -40*h - 156. Let i be w(-4). Determine j so that 0 + 1/2*j**2 - j - 1/2*j**5 + 3/2*j**3 - 1/2*j**i = 0.
-2, -1, 0, 1
Let h = 0 + 4. Find q, given that 3*q - 8*q**2 + 6*q**h - q**2 + 9*q**3 - 9*q**4 = 0.
0, 1
Find w such that 6*w**4 - 3*w**2 - w - 3*w**3 + 4*w - 3*w**4 = 0.
-1, 0, 1
Let h(n) = -n**2 - 12*n - 7. Let a be h(-9). Let b be (-5)/4*(-8)/a. Let 1/2*q**3 + q**2 + 0 + b*q = 0. What is q?
-1, 0
Let m(g) be the second derivative of -7*g**5/160 + 5*g**4/96 + g**3/24 + 4*g. Determine o, given that m(o) = 0.
-2/7, 0, 1
Suppose 5*m + 47 = 4*d - 21, 5*m = -5*d - 50. Let l be -1 + 0 + m/(-3). Determine h, given that 2/3*h**l - 8/3*h**5 + 0*h**2 + 2*h**4 + 0*h + 0 = 0.
-1/4, 0, 1
Let s = 8 - 1. Let j(y) be the third derivative of 0*y + 1/24*y**8 + 0*y**3 - 1/6*y**4 - y**2 + 0 - 19/105*y**s + 1/4*y**6 - 1/30*y**5. What is l in j(l) = 0?
-2/7, 0, 1
Suppose -a - h + 1 + 1 = 0, 3*a = h + 6. What is l in 3*l - 6*l**a - 5*l + 0*l**4 + 4 - l**4 + 3*l**4 + 2*l**3 = 0?
-2, -1, 1
Let p(v) be the third derivative of -v**5/12 + v**4/8 + v**3 + 2*v**2. Let c(w) = 6*w**2 - 3*w - 6. Let k(f) = 2*c(f) + 3*p(f). Factor k(m).
-3*(m - 2)*(m + 1)
Let i = 2 - 4. Let q be i/(-7) - 19/(-7). Find f such that -12 + 3*f**4 + 12 + 3*f**3 - 3*f**2 - q*f = 0.
-1, 0, 1
Let w(d) be the second derivative of 0 - 1/15*d**6 + 0*d**3 + 3*d + 0*d**2 + 1/3*d**4 - 1/10*d**5. What is v in w(v) = 0?
-2, 0, 1
Suppose -p + 4 = 3*p. Solve -6*n - n**2 - 1 + p + 8*n = 0 for n.
0, 2
Factor 2/11*f**3 + 0*f - 8/11 + 6/11*f**2.
2*(f - 1)*(f + 2)**2/11
Let t = -196/9 - -401/18. Factor 0 - 3/2*s - t*s**2.
-s*(s + 3)/2
Let u be 0/(-1) - (-4)/2. Factor -19*l + 19*l + u*l**3 - 4*l**2 - l**4 + 3*l**2.
-l**2*(l - 1)**2
Suppose -3*q + 0*q = 0. What is r in 2/3*r**4 + 0*r**3 + 2/3*r**5 + 0*r**2 + 0*r + q = 0?
-1, 0
Let y(i) be the third derivative of 0*i**3 + 0*i**4 - 1/20*i**6 - 1/70*i**7 + 0 - 1/20*i**5 + 3*i**2 + 0*i. Find c such that y(c) = 0.
-1, 0
Solve 102*a - 3*a**2 - 102*a + 6*a**5 + 3*a**4 - 6*a**3 = 0.
-1, -1/2, 0, 1
Find j such that -60*j**3 + 25*j**2 + 10*j + 0*j**4 + 15*j**5 + 5*j**5 + 5*j**4 = 0.
-2, -1/4, 0, 1
Let w(c) be the second derivative of 0*c**2 - 1/24*c**3 + 3*c + 0 - 1/48*c**4. Factor w(h).
-h*(h + 1)/4
Let m(t) = -14*t**2 + 12*t + 18. Let c(o) = -9*o**2 + 8*o + 12. Let v(i) = -8*c(i) + 5*m(i). Factor v(n).
2*(n - 3)*(n + 1)
Let g = -161/2 + 82. Factor -3/2 - g*l**2 + 3*l.
-3*(l - 1)**2/2
Let -2/17*f**2 + 10/17*f - 8/17 = 0. Calculate f.
1, 4
Suppose -21 = -5*y - 11. Let s(k) be the second derivative of -2*k + 0 + 1/10*k**6 + 1/6*k**3 - 1/4*k**4 + 0*k**y - 1/20*k**5. What is r in s(r) = 0?
-1, 0, 1/3, 1
Let n(d) be the first derivative of -d**3/3 - 3*d**2 - 9*d - 7. Let n(i) = 0. What is i?
-3
Let z(k) = -2*k**3 - 25*k**2 - 3. Let p(m) = -15*m**3 - 175*m**2 - 20. Let b(o) = 3*p(o) - 20*z(o). Find d such that b(d) = 0.
-5, 0
Let w(i) be the second derivative of -1/15*i**6 + 2/3*i**3 + 0 + 1/21*i**7 + 1/6*i**4 - 2*i - 3/10*i**5 + 0*i**2. Factor w(h).
2*h*(h - 2)*(h - 1)*(h + 1)**2
Let r be -12 + (5 - -3) - 9/(-2). Suppose 0 + 1/2*d + d**2 + r*d**3 = 0. What is d?
-1, 0
Suppose 5*l - 11 = 3*c - 4*c, 2*l - 3*c = 18. Suppose 103*j + 24 - 94*j**3 + 504*j**4 - 78*j**2 - 147*j**5 + 5*j - 309*j**l - 8*j**3 = 0. What is j?
-2/7, 1, 2
Suppose 3*y + 0 = 5*u - 29, u - 11 = -2*y. Factor 16 - 2*g**2 + 16*g - g**2 + u*g**2.
4*(g + 2)**2
Let i(q) = -14*q**4 - 10*q**3 + 4*q**2 - 6. Let y(w) = -16*w**4 - 11*w**3 + 5*w**2 - 7. Let u(x) = -7*i(x) + 6*y(x). Factor u(j).
2*j**2*(j + 1)**2
Let q(t) = -3*t**3 + 12*t**2 + 9*t + 9. Let p(s) = -s**3 + 6*s**2 + 4*s + 4. Let x(b) = -9*p(b) + 4*q(b). Factor x(g).
-3*g**2*(g + 2)
Factor 2/7*s**4 + 12/7*s**2 + 8/7*s + 8/7*s**3 + 2/7.
2*(s + 1)**4/7
Suppose -4*o + 6 - 1 = -5*h, 2*h - 6 = 0. Let d = -1/10 - -27/70. Suppose 0*b + 0*b**2 + 2/7*b**4 - d*b**o + 0*b**3 + 0 = 0. What is b?
0, 1
Factor 88/3*v**3 + 32/3*v**4 + 12*v + 32*v**2 + 0 + 4/3*v**5.
4*v*(v + 1)**2*(v + 3)**2/3
Let b(p) be the first derivative of -p**2/2 + 8*p + 1. Let y be b(6). Factor r**5 - 2*r**3 + 0*r + 0*r + y*r - r.
r*(r - 1)**2*(r + 1)**2
Let h(i) be the first derivative of 15625*i**4/8 + 625*i**3 + 75*i**2 + 4*i - 38. Factor h(z).
(25*z + 2)**3/2
Let d = 4 - 7. Let k = d + 6. Solve k*p**4 + 3*p**5 - 9*p**3 + 9*p**3 = 0.
-1, 0
Let d(k) be the first derivative of -k**4/3 - 8*k**3/3 - 6*k**2 - 4*k + 5. Let t(s) be the first derivative of d(s). Factor t(f).
-4*(f + 1)*(f + 3)
Suppose 0 = f - 0*f. Suppose -k = -f*k - 2. Factor 0*v**2 + 0*v + k*v + v**2.
v*(v + 2)
Suppose -2*o + k = -13, -k = -5*o - 4*k + 5. Let n(w) be the third derivative of 0 + 1/3*w**3 + 0*w + 1/4*w**o + 1/15*w**5 + 2*w**2. Factor n(z).
2*(z + 1)*(2*z + 1)
Let z(y) = -260*y**2 + 1352*y - 292. Let m(g) = 40*g**2 - 208*g + 45. Let f(l) = 32*m(l) + 5*z(l). Factor f(n).
-4*(n - 5)*(5*n - 1)
Let n(m) be the second derivative of -1/8*m**3 + 0*m**2 - 9*m + 0 - 1/32*m**4. Find h such that n(h) = 0.
-2, 0
Suppose 30 = 8*x - 3*x - 3*k, 2*x - 12 = -k. Determine l, given that 4*l**3 - 3*l**2 - 4*l**3 - 3*l**3 + x*l = 0.
-2, 0, 1
Let p(n) be the second derivative of -n**7/1680 - n**6/1080 + n**5/720 - n**3/6 + 8*n. Let f(l) be the second derivative of p(l). Factor f(j).
-j*(j + 1)*(3*j - 1)/6
Let w(i) be the first derivative of -i**7/840 - i**6/120 - i**5/48 - i**4/48 + 9*i**2/2 + 5. Let m(g) be the second derivative of w(g). Factor m(p).
-p*(p + 1)**2*(p + 2)/4
Suppose 2*h = 4*g + 38, 0 = h - 5*h - 4*g + 40. Suppose -2*y = -3*w - 0*y + h, -6 = -w + y. What is r in -5*r**3 + 9*r**2 - w - r**3 - 2 = 0?
-1/2, 1
Suppose -4*s - 4*s**2 + 18*s**3 - 24*s**4 + 6*s + 10*s**5 - 2*s = 0. What is s?
0, 2/5, 1
Let b(c) be the first derivative of 1/8*c**2 - 1/6*c**3 + 1/4*c - 4. Find x such that b(x) = 0.
-1/2, 1
Let g = -2/99 + 8/33. Let h be (-5)/(-12) + (-5)/(-20). Factor -4/9*y**2 - 4/9*y**3 - 2/9 + 2/3*y**4 - g*y**5 + h*y.
-2*(y - 1)**4*(y + 1)/9
Let d(b) = -b - 10. Let n be d(-12). Let -2*k**4 + 3*k**4 - k**n + 32*k**3 - 32*k**3 = 0. What is k?
-1, 0, 1
Suppose -9 = -3*k + 3. Factor 13 + 3*w**3 - 3*w**k - 3*w + 3*w**2 - 13.
-3*w*(w - 1)**2*(w + 1)
Suppose 4*m - 15 = 3*m + 4*p, -18 = -m + 5*p. Solve 0*o + 0 - 2/5*o**5 + 2/5*o**m + 0*o**2 + 0*o**4 = 0.
-1, 0, 1
Let p(q) be the third derivative of q**7/105 + q**6/90 - q**5/90 + 6*q**2. Factor p(l).
2*l**2*(l + 1)*(3*l - 1)/3
Factor 20*d - 49*d**3 + 4*d + 3*d**4 - 18*d**2 + 40*d**3.
3*d*(d - 4)*(d - 1)*(d + 2)
Let h(o) be the first derivative of 0*o + 3/2*o**2 + 1/40*o**5 + 1/8*o**4 + 0*o**3 - 3. Let c(q) be the second derivative of h(q). Factor c(r).
3*r*(r + 2)/2
Let h = -12535/3 - -4182. Suppose -5*g = -b + 17, 6*g + 19 = 5*b + 3*g. Factor 4*y + y**3 - h*y**b - 4/3.
(y - 2)*(y - 1)*(3*y - 2)/3
Suppose c + 1 = 2. Let r(a) be the second derivative of a**5/20 - a**4/6 - a**3/6 - 2*a. Let k(g) = -g**3 - g. Let y(i) = c*r(i) - k(i). Factor y(w).
2*w**2*(w - 1)
Factor 8/7*h - 2/7*h**2 - 6/7.
-2*(h - 3)*(h - 1)/7
Let b = 2 - 0. Factor b*n**2 + 2*n**2 + 2 - 6*n**2.
-2*(n - 1)*(n + 1)
Let c be (2 - 6/4)*(7 - 4). Find i such that -1/2*i**2 + c + i = 0.
-1, 3
Let h(u) be the second derivative of 0 + 3/2*u**2 - 1/12*u**4 + 6*u - 1/3*u**3. Factor h(p).
-(p - 1)*(p + 3)
Solve -4*j**2 + 6*j + 4*j**2 + 3*j**2 = 0 for j.
-2, 0
Let w(x) be the first derivative of x**4/7 - 8*x**3/21 - 8*x**2/7 + 32*x/7 + 3. Determine r so that w(r) = 0.
-2, 2
Factor 0*s**4 + 2/13*s**5 - 2/13*s**3 + 0 + 0*s**2 + 0*s.
2*s**3*(s - 1)*(s + 1)/13
Let z = 330 + -2966/9. What is d in 2/9*d**5 + 0 - z*d**3 + 0*d**4 + 0*d**2 + 2/9*d = 0?
-1, 0, 1
Let l be 3 - (50/15 