30*q**7 + a*q**3 + 0 - 2*q**2 + 0*q. Factor g(j).
-j*(j - 1)**3/3
Let v(h) be the second derivative of -h**7/1050 + h**6/200 - h**5/100 + h**4/120 + 3*h**2 - 3*h. Let p(m) be the first derivative of v(m). Factor p(a).
-a*(a - 1)**3/5
Solve -3/2*l**2 - 3/2*l + 3/2 + 3/2*l**3 = 0 for l.
-1, 1
Let z = 207 + -198. Let b(t) be the first derivative of -7/2*t**3 + 2 - z*t**2 + 6*t. Determine m so that b(m) = 0.
-2, 2/7
Let q(h) be the second derivative of 0 + 0*h**2 + 1/80*h**5 + 1/24*h**3 - 1/24*h**4 - 5*h. Suppose q(y) = 0. What is y?
0, 1
Let q(j) = -j**2 + 11*j + 1. Let a be q(11). Factor -33*r - 13*r**3 - r**3 + a + 32*r**2 + 3 + 11*r.
-2*(r - 1)**2*(7*r - 2)
Suppose -v = -2*n + 6*n - 26, -5*v - 20 = -5*n. What is k in -4 - 7*k + n*k - 6*k**2 + 3*k + 8*k = 0?
2/3, 1
Let g = 2 + -2. Suppose 3*n - 4*f + 16 = 0, g = -n - f - 1 + 5. Factor -5*j**3 - 4 - j - 3*j + n*j + 13*j**2.
-(j - 2)*(j - 1)*(5*j + 2)
Suppose 20 = 4*x - 3*x + 5*m, -2*m + 8 = -4*x. Let d(j) be the third derivative of 0*j**3 + x + 0*j + j**2 - 1/96*j**4 - 1/240*j**5. What is g in d(g) = 0?
-1, 0
Let f be (5/15)/((-1)/(-9)). Suppose 7*q - 12 = f*q. Factor 2*m - 4 - m**4 + 6*m**2 - 6*m**3 - m**4 + 4*m**q.
-2*(m - 1)**2*(m + 1)*(m + 2)
Let d be (1 - -1) + (5 - 3). Find p such that -63*p**3 + 8*p**2 + 59*p**3 - 12*p**4 + d*p**5 + 4*p**4 = 0.
-1, 0, 1, 2
Let o(z) be the first derivative of z**3/9 + z**2/2 - 3. Factor o(t).
t*(t + 3)/3
Let t(p) be the first derivative of 26/33*p**3 + 8/11*p + 2 - 20/11*p**2 + 7/11*p**4 - 4/33*p**6 - 14/55*p**5. Find y such that t(y) = 0.
-2, 1/4, 1
Let w(h) = h + 3. Let i be w(-3). Suppose i = 5*q + 3*f - 1 + 2, 1 = -3*q - 2*f. Find m, given that 1/2*m**2 - 3/2*m + q = 0.
1, 2
Let i be (-2)/((-5)/((-45)/(-6))). Let -d + 0*d**3 + i*d**3 - 2*d**3 - d**4 + d**2 = 0. What is d?
-1, 0, 1
Let n(a) be the second derivative of -a**5/110 + a**4/66 - a. What is w in n(w) = 0?
0, 1
Let w be 1*((-6)/(-2) + 2). Suppose 4*y = w*z - 2, -z = -3*y + 2*z. Factor 0*i - 1 - i**3 + i + 2 - 2*i**2 + i**y.
-(i - 1)*(i + 1)**2
Let p(t) = -21*t**2 - 2*t + 2. Let i be p(-2). Let j be 598/i*2/(-4). Factor -7/3*q**3 + j*q**2 - 8/3*q + 1/2*q**4 + 2/3.
(q - 2)*(q - 1)**2*(3*q - 2)/6
Suppose 2*h - 5*h = -6. Factor 19*i - 25*i**2 + 9*i - 24*i**h - 1 - 3.
-(7*i - 2)**2
Factor -2/11*m**4 + 2/11*m**2 + 0 - 2/11*m**5 + 2/11*m**3 + 0*m.
-2*m**2*(m - 1)*(m + 1)**2/11
Let h = 29 + -25. Suppose -3 + 21*x**5 - 50*x**4 + 34*x**3 - h*x + 3 - x**3 = 0. What is x?
-2/7, 0, 2/3, 1
Let d(u) be the first derivative of 0*u - 1/2*u**4 - 4/9*u**3 + 0*u**2 + 5 - 2/15*u**5. Factor d(i).
-2*i**2*(i + 1)*(i + 2)/3
Solve 221*c**2 + c**3 + 6*c - 3 - 226*c**2 + c = 0 for c.
1, 3
Let v(x) = x**3 - x + 1. Let d(j) = -4*j**3 - 2*j**2 + 12*j - 8. Let y(o) = d(o) + 2*v(o). Factor y(m).
-2*(m - 1)**2*(m + 3)
Let o(s) be the first derivative of -s**6/3 - 6*s**5/5 - s**4 + 4*s**3/3 + 3*s**2 + 2*s + 8. Factor o(x).
-2*(x - 1)*(x + 1)**4
Suppose h + 0 - 6 = -3*a, 10 = 5*a + 3*h. Determine j so that 6*j**3 + j + 0*j - 4*j**5 - 4*j**4 - 4*j**a + 5*j**5 = 0.
0, 1
Suppose -2*u = -2*s + 5*s + 6, 0 = 5*s + 20. Suppose 2/3*q**u + 0*q**2 + 0*q - 2/3*q**4 + 0 - 4/3*q**5 = 0. Calculate q.
-1, 0, 1/2
Let x(q) be the third derivative of q**8/1344 - q**6/160 - q**5/120 + 32*q**2. Factor x(m).
m**2*(m - 2)*(m + 1)**2/4
Let q(m) be the second derivative of -m**6/120 + m**5/40 - 21*m. Factor q(z).
-z**3*(z - 2)/4
Let c(h) be the first derivative of -h**6/180 - h**5/60 + h**4/6 - 4*h**3/3 - 7. Let n(i) be the third derivative of c(i). Factor n(f).
-2*(f - 1)*(f + 2)
Let a(k) be the first derivative of -2*k**3/3 - 3*k**2/7 - 14. Factor a(l).
-2*l*(7*l + 3)/7
Let i(l) = -3*l**2 + 2*l + 11. Let k(p) = -15*p**2 + 9*p + 54. Let n(u) = 24*i(u) - 5*k(u). Solve n(w) = 0.
-2, 1
Suppose 45 = 3*c + 15. Factor 2 - 2*f**2 - 6*f + 5*f**2 + c*f - f**2.
2*(f + 1)**2
Let i = 2236/9 + -248. Solve 2/9 + i*s + 2/9*s**2 = 0 for s.
-1
Let p(m) be the second derivative of -25*m**7/147 + 13*m**6/21 - 23*m**5/35 - m**4/21 + m**3/3 + m**2/7 - 4*m. Factor p(y).
-2*(y - 1)**3*(5*y + 1)**2/7
Let p(t) be the first derivative of -t**6/180 - t**3/3 + 1. Let h(x) be the third derivative of p(x). What is z in h(z) = 0?
0
Let x(b) be the third derivative of -b**8/6720 - b**7/2520 + b**6/720 + b**5/120 + b**4/24 + 4*b**2. Let k(c) be the second derivative of x(c). Factor k(w).
-(w - 1)*(w + 1)**2
Let a(g) be the first derivative of 9/4*g**3 - 13/8*g**2 + 1/2*g - 2 + 7/20*g**5 - 23/16*g**4. Factor a(c).
(c - 1)**3*(7*c - 2)/4
Let l(v) be the first derivative of -2 + 0*v - 2/5*v**5 - 2/3*v**3 + v**4 + 0*v**2. Let l(f) = 0. What is f?
0, 1
Let l = 4 + -2. Let u be l - 2/(-3)*-3. Factor -2*m**2 + u*m**2 + 4*m**3 - m - 2*m**3 + m**2.
m*(m - 1)*(2*m + 1)
Suppose -3*c + s - 2 = -14, -5*s = -4*c + 16. Let j be c - (5 + -3)*1. What is o in -30/7*o**2 - j*o**4 + 4/7 - 2/7*o - 38/7*o**3 = 0?
-1, 2/7
Find g, given that -1/9*g - 2/9 + 1/9*g**2 = 0.
-1, 2
Factor 3/2 + 3/4*v**5 - 3*v**4 - 15/4*v + 3/2*v**2 + 3*v**3.
3*(v - 2)*(v - 1)**3*(v + 1)/4
Let h be 25/(-15)*12/(-90). Solve -4/9*w**3 + 0 + h*w**4 + 0*w + 2/9*w**2 = 0 for w.
0, 1
Let d = -21 + 23. Factor 2*q**2 - 131 + 132 + q**3 - 3*q**d - q.
(q - 1)**2*(q + 1)
Let p = -5/44 + 4/11. Suppose -2*a - 5*y = 0, 4*a - 8*a = -2*y. Suppose a + 0*v + p*v**3 - 1/2*v**2 = 0. Calculate v.
0, 2
Let h(q) be the first derivative of q**5/35 - q**4/4 + 6*q**3/7 - 10*q**2/7 + 8*q/7 - 21. Suppose h(w) = 0. Calculate w.
1, 2
Let w(z) = -20*z**2 + 55*z - 10. Let c(u) = -u**2 + u + 1. Let h(n) = 25*c(n) - w(n). Factor h(o).
-5*(o - 1)*(o + 7)
Let j(a) = 3*a**5 + 17*a**4 + 17*a**3 + 5*a**2 + 2. Let k(f) = -14*f**5 - 86*f**4 - 86*f**3 - 25*f**2 - 11. Let p(w) = -11*j(w) - 2*k(w). Factor p(u).
-5*u**2*(u + 1)**3
Let -3 - 8 - 4*k**2 + 2*k**2 - 7 + 12*k = 0. What is k?
3
Let h(r) = r**2 + 15*r + 26. Let k be h(-13). Let q(x) = -x + 1. Let t be q(-1). Factor l**3 + k*l**t - 2 + 2 + l**2 - 2*l.
l*(l - 1)*(l + 2)
Let y be (-6)/27 - 186/(-108). Factor y*h**3 + 0 + 1/2*h**2 - h.
h*(h + 1)*(3*h - 2)/2
Let d be 4 - (20/5 + -4). Let h(v) = -v + 8. Let u be h(4). Let -2*j**4 - 2*j**3 + u*j**3 + j**d - 2*j - 2*j**2 + 3*j**4 = 0. Calculate j.
-1, 0, 1
Find l such that 2*l**2 + 8 - 194*l + 2*l**3 + 186*l - 2*l**2 - 2*l**2 = 0.
-2, 1, 2
Let w(n) = n**5 + n - 1. Let c(t) = -3*t**5 + 3*t**4 - 6*t**3 - 6*t**2 - 3*t + 9. Let y(i) = -c(i) - 6*w(i). Factor y(o).
-3*(o - 1)**2*(o + 1)**3
Let g(h) be the first derivative of 0*h**2 + 4 - 2/7*h**4 - 4/21*h**3 - 4/35*h**5 + 0*h. Factor g(x).
-4*x**2*(x + 1)**2/7
Let c be (-3)/9*(1 - 1). Let l(j) be the third derivative of -1/6*j**3 + 1/8*j**4 + 0 + c*j + 1/120*j**6 - 2*j**2 - 1/20*j**5. Factor l(i).
(i - 1)**3
Let k(n) be the third derivative of n**7/840 - n**6/60 + n**5/10 + n**4/4 - 4*n**2. Let x(l) be the second derivative of k(l). Factor x(p).
3*(p - 2)**2
Let i = -84 + 88. Suppose 0 = -5*a + 4*a. Factor 0*z**i - 2/3*z**5 - 2/3*z + 0*z**2 + a + 4/3*z**3.
-2*z*(z - 1)**2*(z + 1)**2/3
Let q = 2/109 - -105/218. Factor 1/2*k**5 + k**3 - 3/2*k + q - 3/2*k**4 + k**2.
(k - 1)**4*(k + 1)/2
Solve -75*w - 10 - 41*w**2 - 23*w**2 - 55*w**3 - 56*w**2 = 0.
-1, -2/11
Let 3/4*p**2 + 3/8*p**5 + 3/4 - 3/2*p**4 + 3/2*p**3 - 15/8*p = 0. What is p?
-1, 1, 2
Factor u**2 - 50 - 6*u**2 + 17*u + 3*u**2 + 3*u.
-2*(u - 5)**2
Let q = 13/17 + -22/51. Suppose -1/2*k**2 - 5/6*k + q = 0. Calculate k.
-2, 1/3
Let o(h) be the first derivative of 2*h**3/9 - 2*h**2/3 - 2*h + 3. Factor o(u).
2*(u - 3)*(u + 1)/3
Let k(h) be the second derivative of 0 + 3*h - 1/8*h**2 - 1/8*h**3 - 1/16*h**4 - 1/80*h**5. Factor k(i).
-(i + 1)**3/4
Suppose -j - 15 = 2*p - 6*j, -p = -j. Suppose p*x - 4*x = 0. What is m in 2/3*m + 2/3*m**3 - 4/3*m**2 + x = 0?
0, 1
Let f = 8 - -2. Let k = 12 - f. Factor 1/2*l + 3/2*l**3 - 1/2*l**4 - 3/2*l**k + 0.
-l*(l - 1)**3/2
Factor 0*a + 1/4*a**2 + 0*a**3 + 0 - 1/4*a**4.
-a**2*(a - 1)*(a + 1)/4
Let k(f) be the second derivative of -3*f**7/28 - 7*f**6/20 - 3*f**5/8 - f**4/8 + 7*f. Suppose k(r) = 0. Calculate r.
-1, -1/3, 0
Let x(g) be the first derivative of -g**3/12 + g/4 + 23. Factor x(v).
-(v - 1)*(v + 1)/4
Suppose -w = -m - 3*m, 0 = m - 1. Let z(x) be the second derivative of 1/30*x**5 + 0*x**3 + 0 + 0*x**2 - 2*x - 1/18*x**w. Factor z(t).
2*t