
-1, -1/2, 2
Let c(r) be the third derivative of -r**5/240 + 5*r**4/48 - 25*r**3/24 + 19*r**2. Find u such that c(u) = 0.
5
Factor -611*d**2 - 62*d + 136*d - 76*d**3 + 2000 + 726*d + 151*d**2 - 4*d**5 + 44*d**4.
-4*(d - 5)**3*(d + 2)**2
Let j(p) = -4*p**3. Let t be j(1). Let d = 0 - t. Solve -32*a**4 - 18*a**2 - 4*a**d + 9*a**5 + a**5 + 2*a**5 + 3*a + 39*a**3 = 0.
0, 1/2, 1
Let y be 20/8 - (-3)/2. Find v such that 2*v + 1 - y*v + 3 + 0 - 2*v**2 = 0.
-2, 1
Let o be ((-20)/(-7))/((-6)/(-21)). Let u(l) = -l**2 + 12*l - 15. Let p be u(o). What is t in 3*t**5 - 2*t**4 - 3*t**5 + 3*t**3 + 8*t**4 + 3*t**p = 0?
-1, 0
Let a be -3 - (3 - 1*18). Let i be ((-2)/(-5))/(a/45). Find u such that -i*u - 1/2*u**2 - 1 = 0.
-2, -1
Let w(d) be the second derivative of d**5/20 - d**4/4 + d**3/2 - d**2/2 - 8*d + 2. Suppose w(g) = 0. What is g?
1
Let o(y) = y - 7. Let r be o(11). Factor r*m**4 + m**4 - 3*m**4 - 2*m**2.
2*m**2*(m - 1)*(m + 1)
Let k be 520/120 + (-2 - 6)/2. Determine b, given that -k*b + 0 + 1/3*b**2 = 0.
0, 1
Let b = 29 + -25. Let d be (-3)/b*(-96)/180. Factor -12/5*p**3 - 2/5*p + 8/5*p**4 + 8/5*p**2 - d*p**5 + 0.
-2*p*(p - 1)**4/5
Let l(c) be the first derivative of -2/7*c**3 - 2/7*c**2 - 1 + 0*c - 1/14*c**4. Factor l(u).
-2*u*(u + 1)*(u + 2)/7
Suppose -9 = y - 4*y. Let t(m) be the second derivative of 3/8*m**4 - m + 0 + 3/2*m**y + 3*m**2 + 3/80*m**5. Determine o so that t(o) = 0.
-2
Let u(w) be the second derivative of 3*w**5/20 + 5*w**4/4 + 3*w**3/2 - 27*w**2/2 - 7*w. Determine r, given that u(r) = 0.
-3, 1
Let g(n) be the first derivative of -2*n**3/9 - n**2/3 + 4*n/3 - 38. Factor g(t).
-2*(t - 1)*(t + 2)/3
Let z(c) be the second derivative of 13*c**6/50 - 18*c**5/25 + 9*c**4/20 + c**3/5 + 7*c. Suppose z(k) = 0. What is k?
-2/13, 0, 1
Let v(z) = 8*z**2 + 6*z + 4. Let l(m) = -15*m**2 - 11*m - 7. Let i(h) = -6*l(h) - 11*v(h). Factor i(p).
2*(p - 1)*(p + 1)
Suppose 4*l - 24 = -0*l. Let x be -2 + 33/l - 2. Factor -1/2*q**3 - 1/2 - 3/2*q**2 - x*q.
-(q + 1)**3/2
Let h = -80 - -83. Let b(x) be the third derivative of 5/8*x**5 + 3*x**2 + x**h - 5/4*x**4 + 0 + 0*x. Determine u, given that b(u) = 0.
2/5
Let t(c) be the third derivative of 7*c**8/48 + c**7/3 - c**6/40 - c**5/3 + c**4/6 - 4*c**2. Factor t(r).
r*(r + 1)**2*(7*r - 2)**2
Suppose 5*w - u = 16, w + 3*u - 5*u = 5. Let j be (3/(-4))/((-72)/64). Factor -2/3*p**w + 2/3 - 2/3*p**2 + j*p.
-2*(p - 1)*(p + 1)**2/3
Suppose o + c = 4*c - 10, -2*o + 4 = 2*c. Let v = o - -3. Factor -6*s - v*s**2 + 3*s + s.
-2*s*(s + 1)
Let q(z) be the third derivative of -z**8/336 - z**7/105 - z**6/120 + 10*z**2. Let q(g) = 0. What is g?
-1, 0
Let n(k) be the first derivative of 0*k - 2 + 0*k**2 + 1/12*k**3. Factor n(s).
s**2/4
Let x(d) be the first derivative of d**5 + 2*d**4 - 7*d**3/3 + 6*d - 5. Let o(u) = 4*u**4 + 7*u**3 - 6*u**2 + 5. Let y(n) = 6*o(n) - 5*x(n). Factor y(k).
-k**2*(k - 1)**2
Factor -1/5 + 2/5*l**3 - 2/5*l + 0*l**2 + 1/5*l**4.
(l - 1)*(l + 1)**3/5
Let k(t) be the second derivative of -t**5/30 + t**4/6 + 6*t. Suppose k(x) = 0. Calculate x.
0, 3
Let a = -50/9 + 6. Suppose 0 - a*z + 2/9*z**2 = 0. Calculate z.
0, 2
Let m(b) = -b**2 - 7*b. Suppose 4*n = 3*q + 5, 4*q + 8 = -4*n - 36. Let c be m(q). Factor 2/3*p**3 + c + 0*p**2 + 0*p.
2*p**3/3
Let r be (1/(-2))/((-4)/96). Factor 14*m**2 + 3 + 4*m**2 - 2*m**3 + 3*m**4 - 10*m**3 - r*m.
3*(m - 1)**4
Let w(d) = -d**5 + 6*d**3 - 3*d. Let k(b) = 6*b**3 - 3*b. Let c be 2/(-2) + -4 + 2. Let m(u) = c*w(u) + 2*k(u). Solve m(q) = 0.
-1, 0, 1
Let h(l) be the second derivative of -l**5/270 - l**2/2 + 8*l. Let u(y) be the first derivative of h(y). Factor u(r).
-2*r**2/9
Let y(r) be the third derivative of -1/3*r**4 + 7/30*r**5 - 1/30*r**6 + 3*r**2 + 0 + 0*r - 4/3*r**3. Determine f, given that y(f) = 0.
-1/2, 2
Factor -1/3*y**4 - 1/3*y**5 - 1/3*y - 1/3 + 2/3*y**3 + 2/3*y**2.
-(y - 1)**2*(y + 1)**3/3
Factor -4*g - 80*g**2 - g**3 + 0*g + 85*g**2.
-g*(g - 4)*(g - 1)
Suppose 4*k + 5 = 17. Let u(j) be the first derivative of -2/3*j - 1/12*j**4 + 1/6*j**2 + 2/9*j**k - 1. Solve u(l) = 0 for l.
-1, 1, 2
Suppose 4*m = -4*g + 3*m - 3, 5*m - 3 = -2*g. Let o = g - -3. Factor 3*s**4 + o*s**5 - 3*s**4 - 2*s**4.
2*s**4*(s - 1)
Factor -26*k**4 + 11*k**4 + 4*k + 11*k**4 - 12*k**2 + 12*k**3.
-4*k*(k - 1)**3
Let u = -99/2 + 18. Let x = -31 - u. Factor 0*q - 1/2*q**2 + x.
-(q - 1)*(q + 1)/2
Suppose 4*m - 9 = m. Let d(t) be the first derivative of -m + 0*t**2 + 2/13*t - 2/39*t**3. Factor d(s).
-2*(s - 1)*(s + 1)/13
Suppose 0 = 2*o + 2*p + 186, 4*o = -7*p + 2*p - 369. Let a = o + 292/3. Factor -a*b + 2/3*b**2 + 2/3.
2*(b - 1)**2/3
Let g = -47 + 49. Let c = 1/53 - -49/212. Factor c + 3/4*u**g - u.
(u - 1)*(3*u - 1)/4
Let l = 157 + -155. Let c(g) be the first derivative of 0*g - 13/2*g**4 + 8*g**3 - 1/3*g**6 - l - 4*g**2 + 12/5*g**5. Find b, given that c(b) = 0.
0, 1, 2
Let y(s) be the third derivative of -s**7/525 - s**6/150 + s**5/150 + s**4/30 - s**2. Factor y(v).
-2*v*(v - 1)*(v + 1)*(v + 2)/5
What is d in 81*d - 26*d + 8*d**2 - 36 - 4*d**4 - 16*d**3 - 7*d = 0?
-3, 1
Let o = 3 - 15. Let y be 1/(10/o - -1). Factor 5*l**3 + y*l - l**3 - 1 + 9*l**2 + 2.
(l + 1)**2*(4*l + 1)
Factor -3 - 10*n - 31/4*n**2 - 7/4*n**3.
-(n + 2)**2*(7*n + 3)/4
Factor 4/5*y + 2/5*y**3 + 6/5*y**2 + 0.
2*y*(y + 1)*(y + 2)/5
Let j = -5 - -9. Let k(p) be the third derivative of -1/6*p**j + 0*p**3 - 1/120*p**6 - 1/15*p**5 + p**2 + 0 + 0*p. Let k(h) = 0. Calculate h.
-2, 0
Let h(x) = -x**3 - x**2 + 1. Let r be h(1). Let p be r/(1*(-3)/6). Factor p*w - 4*w + 5*w**2 + 0*w.
w*(5*w - 2)
Factor -s**3 + s - s - s**2 - 4*s + 12 + 12*s.
-(s - 3)*(s + 2)**2
Let w = -38/5 - -39/5. Let i = 6409/5 - 1281. Suppose -l**2 + w*l**3 + 8/5*l - i = 0. What is l?
1, 2
Let s(o) be the first derivative of 1/6*o**3 + 4 + 9/2*o + 3/2*o**2. Factor s(n).
(n + 3)**2/2
Let a(v) = 16*v**2 - 20*v + 4. Let x(b) = b**3 - 48*b**2 + 60*b - 13. Let t(h) = -11*a(h) - 4*x(h). Find y such that t(y) = 0.
1, 2
Let n(w) be the second derivative of 0*w**5 - 1/30*w**4 - w + 0*w**3 + 0 + 1/75*w**6 + 0*w**2. Factor n(r).
2*r**2*(r - 1)*(r + 1)/5
Suppose -2*f + 0 = -5*y + 1, 5*y + 1 = 3*f. Factor 4/7*z**4 + 0*z + 0*z**f + 0 - 2/7*z**3.
2*z**3*(2*z - 1)/7
Let b(q) be the first derivative of q**4/6 + 2*q**3/9 - 2*q**2/3 + 1. Find f such that b(f) = 0.
-2, 0, 1
Let d(t) = 20*t**4 - 40*t**3 - 60*t**2 + 160*t - 80. Let k(h) = -4*h**4 + 8*h**3 + 12*h**2 - 32*h + 16. Let i(q) = -3*d(q) - 16*k(q). Factor i(c).
4*(c - 2)*(c - 1)**2*(c + 2)
Determine d so that 2/7*d + 4/7 - 2/7*d**2 = 0.
-1, 2
Let k(y) be the first derivative of -1/12*y**3 + 1/20*y**5 + 0*y + 3 - 1/16*y**4 + 1/8*y**2. Factor k(t).
t*(t - 1)**2*(t + 1)/4
Solve 4/13 - 2/13*l - 2/13*l**2 = 0 for l.
-2, 1
Suppose -3*g + 2 - 8 = -2*v, 2*g + 4*v - 12 = 0. Let o(a) be the first derivative of -1/10*a**4 + 2/15*a**3 + 0*a**2 + g*a - 2. Factor o(l).
-2*l**2*(l - 1)/5
Factor 5*j**2 - 6*j - 12*j**2 + 3 + 13*j**2 - 2*j**3 - 1.
-2*(j - 1)**3
Suppose 5*l - 3*p - 7 = 2, 0 = 2*l - p - 4. Let c(b) be the third derivative of 2*b**2 + 1/15*b**l + 1/50*b**5 + 0 + 0*b - 3/100*b**6 + 1/12*b**4. Factor c(y).
-2*(y - 1)*(3*y + 1)**2/5
Let b(v) be the first derivative of v**6/90 + v**5/20 + v**4/12 + v**3/18 - 2*v - 1. Let s(w) be the first derivative of b(w). Let s(k) = 0. What is k?
-1, 0
Suppose 0 = -5*i - 2 + 2. Factor -2/7*h**5 - 4/7*h**2 + 2/7*h + i + 4/7*h**4 + 0*h**3.
-2*h*(h - 1)**3*(h + 1)/7
Let t be ((-7)/(98/(-8)))/((-300)/(-70)). Factor 0 + t*v**2 + 0*v.
2*v**2/15
Let v(w) be the third derivative of 2*w**5/15 - w**4/6 + 15*w**2. Factor v(l).
4*l*(2*l - 1)
Factor 2/3*t + 4/3*t**3 + 5/3*t**2 + 1/3*t**4 + 0.
t*(t + 1)**2*(t + 2)/3
Suppose 13*m - 105 = -53. Let 2*t + 5/2*t**3 + 0 + 1/2*t**m + 4*t**2 = 0. What is t?
-2, -1, 0
Let t(y) be the first derivative of y**6/4 - 21*y**5/10 + 57*y**4/8 - 25*y**3/2 + 12*y**2 - 6*y + 23. Factor t(b).
3*(b - 2)**2*(b - 1)**3/2
Let c be (1/2)/((-2)/(-8)). Suppose 2*f = -0*w - 3*w + 16, -c = -3*f + w. Find n, given that 0*n + 4/3 - 11/3*n**f - 2/3*n**4 - 3*n**3 = 0.
-2, -1, 1/2
Let d be (3/5)/((-27)/60*-6). Suppose 0 + d*f**2 + 2/3*f = 0. Calculate f.
-3, 0
Suppose f = -5*n + 27, 3*n - 5*f + 8*f - 21 = 0. Suppose 4 + 9 = 4*a + 5*i, -5*a - n*i = -15. Factor a*s + 0*s - 10*s**3 + 14*s**2 - 8*s**4 