0*t**3.
2*t**4*(t + 1)/3
Let q = -4 + 6. Let r be (-1)/((-5)/3) + 76/(-285). Solve r*d**3 - d**q + d - 1/3 = 0 for d.
1
Suppose -5 = 4*x - 21. Let o(y) be the first derivative of -1/6*y**2 + 1/12*y**x + 2 + 1/3*y - 1/9*y**3. Factor o(h).
(h - 1)**2*(h + 1)/3
Factor 1/5*j**2 + 2/5*j**4 + 0*j - 3/5*j**3 + 0.
j**2*(j - 1)*(2*j - 1)/5
Let v = -28/95 - -856/1615. Factor -8/17*k**4 + v*k**2 + 14/17*k**3 + 0*k + 0.
-2*k**2*(k - 2)*(4*k + 1)/17
Suppose 2*b + 2 = 8. Suppose 1 = b*c + 2*g - 2, -4*g - 3 = 3*c. Factor -2/5*s - 4/5*s**2 + 4/5 + 2/5*s**c.
2*(s - 2)*(s - 1)*(s + 1)/5
Let k = 93 + -25. Let h = 206/3 - k. Let v**4 + 4/3*v**3 - h*v**2 - 4/3*v - 1/3 = 0. Calculate v.
-1, -1/3, 1
Let j = 3 + -3. Let u**2 + j*u - 4/3 + 1/3*u**3 = 0. What is u?
-2, 1
Let h(j) = 2*j + 5. Let s be h(0). Let w(a) be the first derivative of -2/3*a**3 + 7/9*a**2 + 1 - 4/9*a + 5/18*a**4 - 2/45*a**s. Factor w(k).
-2*(k - 2)*(k - 1)**3/9
Let x(g) be the second derivative of g**6/30 - g**5/20 - g**4/6 + 8*g. Factor x(z).
z**2*(z - 2)*(z + 1)
Let z(k) = -6*k**4 - 13*k**3 - 22*k**2 - 8*k - 2. Let s(y) = -11*y**4 - 26*y**3 - 43*y**2 - 17*y - 4. Let f(l) = -3*s(l) + 5*z(l). Factor f(b).
(b + 1)**2*(b + 2)*(3*b + 1)
Let f be (12/10)/(4/10). Factor 4*p - p + 3*p**4 + p**3 - 3*p**2 - 4*p**f.
3*p*(p - 1)**2*(p + 1)
Let m be 4*1/24 - 11/(-6). Let n(i) be the second derivative of 1/9*i**3 + 1/36*i**4 + m*i + 1/6*i**2 + 0. Factor n(f).
(f + 1)**2/3
Let g(b) be the second derivative of -3*b**5/40 + b**4/4 + b**3/4 - 3*b**2/2 + 18*b. Factor g(a).
-3*(a - 2)*(a - 1)*(a + 1)/2
Let g(h) be the second derivative of -h**7/105 + 2*h**6/75 - h**4/15 + h**3/15 - 7*h. Suppose g(k) = 0. Calculate k.
-1, 0, 1
Let l = 11 - 7. Let r(n) be the third derivative of 0*n**3 + 1/72*n**l + 0*n + 1/90*n**5 + 1/360*n**6 + 0 - n**2. Factor r(w).
w*(w + 1)**2/3
Let d = 5 + -5. Factor -z**3 + d*z**3 - 2*z**2 + 2*z**2 + z**2.
-z**2*(z - 1)
Solve -y**2 - 1/3 - 4/3*y = 0 for y.
-1, -1/3
Let o = 1/5 - -7/15. Let k = -137/3 + 46. Factor k*g**4 - o + g - g**3 + 1/3*g**2.
(g - 2)*(g - 1)**2*(g + 1)/3
Let d(s) be the third derivative of s**6/600 - s**5/100 - 3*s**4/40 - s**3/3 + 4*s**2. Let h(u) be the first derivative of d(u). Factor h(x).
3*(x - 3)*(x + 1)/5
Let a = -41 - -44. Let j(i) be the first derivative of -1/6*i**2 + 1/9*i**a - 2 - 2/3*i. Factor j(m).
(m - 2)*(m + 1)/3
Let k(l) be the third derivative of -2/75*l**5 + 0 - 1/60*l**4 - 4*l**2 + 0*l**3 - 1/840*l**8 - 4/525*l**7 + 0*l - 1/50*l**6. Factor k(r).
-2*r*(r + 1)**4/5
Determine y, given that -64/9*y**2 + 10/9*y**3 + 38/3*y - 4 = 0.
2/5, 3
Let u(p) be the second derivative of 0*p**2 + 1/40*p**5 - 1/168*p**7 + 4*p + 0 - 1/24*p**3 + 0*p**4 + 0*p**6. Determine t, given that u(t) = 0.
-1, 0, 1
Let h = -12 + 15. Suppose -7 - 8 - 6*n**h + 2*n**3 - 12*n - 12*n**2 + 11 = 0. Calculate n.
-1
Factor -36*d**2 - 2*d**4 - 9*d**4 - 3*d + 48*d**3 - 9*d**4 + 11*d.
-4*d*(d - 1)**2*(5*d - 2)
Let c(a) be the first derivative of 2 + 1/9*a**2 - 2/27*a**3 + 4/9*a. Solve c(g) = 0 for g.
-1, 2
Let d(a) = 3*a**2 + 2*a**2 + 5 - 4*a**2 + 4*a. Let k be d(-4). Determine r, given that 10*r**3 + 0*r + 18*r**4 - 18*r**2 - r**5 - 13*r**k + 4*r = 0.
-1, 0, 2/7, 1
Let j(n) be the third derivative of -n**6/80 - n**5/40 + n**4/2 + 3*n**3 - 16*n**2. Suppose j(c) = 0. Calculate c.
-2, 3
Let o(n) be the first derivative of n**6/4 - 6*n**5/5 + 9*n**4/4 - 2*n**3 + 3*n**2/4 + 4. Factor o(f).
3*f*(f - 1)**4/2
Let h(j) = -j + 3. Let q be h(3). Suppose q = k + k. Factor k + 0*d - 2/3*d**2.
-2*d**2/3
Let i(f) be the second derivative of -4*f**6/105 + f**5/14 - f**4/42 - f. Determine m, given that i(m) = 0.
0, 1/4, 1
Factor 2/19*g**5 + 4/19*g + 18/19*g**3 + 0 - 14/19*g**2 - 10/19*g**4.
2*g*(g - 2)*(g - 1)**3/19
Let l be (-4)/18*(-6)/1. Let m = 86 - 257/3. Solve 5/3*r + l*r**3 - m - 8/3*r**2 = 0 for r.
1/2, 1
Suppose 0 + 0*x - 2/11*x**2 + 2/11*x**3 = 0. What is x?
0, 1
Let f(w) be the second derivative of -w**6/165 + w**5/110 + w**4/33 - 3*w. Let f(k) = 0. Calculate k.
-1, 0, 2
Let w(r) = r**3 + 4*r**2 - r**5 + 0 + 2*r**4 - 3*r**3 - 3 + 0. Let z(n) = 2*n**5 - 3*n**4 + 3*n**3 - 7*n**2 + 5. Let t(i) = 5*w(i) + 3*z(i). Solve t(o) = 0.
-1, 0, 1
Let b = -6 + 23. Suppose -4*w + 3 = -b. Determine h so that 2*h**2 - w*h**2 + 2*h**2 = 0.
0
Let n(f) = -2*f**2 + 6*f - 2. Let g(l) = -3*l**2 + 12*l - 4. Let k(c) = 2*g(c) - 5*n(c). Suppose k(b) = 0. Calculate b.
1/2, 1
Let r(x) be the second derivative of -x**9/5040 + x**7/840 - x**4/3 - 6*x. Let g(o) be the third derivative of r(o). Find z such that g(z) = 0.
-1, 0, 1
Suppose -4*q - 15 = -q, 5*t - 40 = 3*q. Let x(j) = j - 3. Let r be x(t). Factor 0*p - 1/2*p**r + 0 + 1/2*p**4 + 0*p**3.
p**2*(p - 1)*(p + 1)/2
Let b(h) be the first derivative of -2*h**5/25 + 4*h**4/5 - 12*h**3/5 + 16*h**2/5 - 2*h - 46. Find p, given that b(p) = 0.
1, 5
Let w be (-1)/7 - (-5 + -7)/84. Determine z so that 2/5*z + 0*z**2 + w - 2/5*z**3 = 0.
-1, 0, 1
Let a be 100/(-15) - 2/(-3). Let f be 4/12*a/(-4). Determine d, given that 0 + f*d + 1/4*d**2 = 0.
-2, 0
Let f(i) = i**3 - 4*i**2 - 6*i + 7. Let x be f(5). Factor 2*m**2 + 5*m + 0*m**x - 5*m**3 + 0*m**3 - 2.
-(m - 1)*(m + 1)*(5*m - 2)
Suppose -a = -3*a + 8. Factor 5*p**a + 0*p**3 - 4*p**4 - p**3 - 2*p**4.
-p**3*(p + 1)
Factor -3*v**3 - 2*v**5 - 27*v**2 + 25*v**2 + 3*v**5.
v**2*(v - 2)*(v + 1)**2
Let m(t) be the second derivative of 0*t**3 - 1/12*t**4 + 0 - 1/10*t**5 - 1/2*t**2 - 1/30*t**6 + t. Let s(a) be the first derivative of m(a). Factor s(c).
-2*c*(c + 1)*(2*c + 1)
Let w be ((-8)/3 - 0)*594/(-924). Factor -3/7*t**3 + 12/7*t - 3/7*t**4 + 0 + w*t**2.
-3*t*(t - 2)*(t + 1)*(t + 2)/7
Suppose 4/7*l**3 - 2/7*l**5 + 2/7*l**4 + 2/7 - 4/7*l**2 - 2/7*l = 0. What is l?
-1, 1
Let o(u) be the second derivative of 7/15*u**6 + 2/21*u**7 + 0*u**2 + 5/6*u**4 - 3*u + 9/10*u**5 + 0 + 1/3*u**3. Solve o(t) = 0.
-1, -1/2, 0
Let j(l) = -5*l**2 - 15*l + 15. Let h(c) = -3*c**2 - 8*c + 8. Let k(i) = -7*h(i) + 4*j(i). Find b such that k(b) = 0.
2
Let v(o) be the third derivative of -o**6/24 + o**5/12 + 5*o**4/6 - 10*o**3/3 + 10*o**2. Determine r so that v(r) = 0.
-2, 1, 2
Let f(s) be the third derivative of s**7/1260 + s**6/180 + s**5/60 + s**4/36 + s**3/36 + 8*s**2. Factor f(h).
(h + 1)**4/6
Suppose 0 = 5*o - 2*o - 9. Let j be (6/(-4))/(6/(-26)). What is v in -v + 7/4*v**4 + 27/4*v**2 - j*v**o - 1 = 0?
-2/7, 1, 2
Let u = 3 - 0. Let k be u/((0 + 2)/2). Factor 4*h + 14*h**k - 18*h**2 - 3*h**2 + 3*h**2.
2*h*(h - 1)*(7*h - 2)
Let u(z) = -z. Suppose 0 = -0*a + 3*a + 9. Let c be u(a). Determine b so that 0*b - 6*b**2 + 0*b + 2*b**c - 2 + 6*b = 0.
1
Let p be ((-4)/(-6))/((-2)/(-6)). Let o be 4/p*2/18. Factor -o - 2/9*r**2 - 4/9*r.
-2*(r + 1)**2/9
Let q = -9 + 33. Let s = -71/3 + q. Factor -s*p**2 - p - 2/3.
-(p + 1)*(p + 2)/3
Let z(r) be the second derivative of r**6/160 + r**5/80 + 3*r**2/2 - r. Let y(k) be the first derivative of z(k). Factor y(p).
3*p**2*(p + 1)/4
Let g be (-3 + 4)/(2/4). Let u = 1 - 0. Find n such that -n**2 - 4*n - 1 - n**g - u = 0.
-1
Let m be 9 + (-76)/12 + 1/3. Suppose 0*w - 1/2*w**m - 2 + 3/2*w**2 = 0. What is w?
-1, 2
Let s(c) = -5*c**2 - 30*c + 31. Let d(y) = -6*y**2 - 30*y + 30. Let h(r) = -2*d(r) + 3*s(r). Solve h(m) = 0 for m.
-11, 1
Let o(s) be the third derivative of s**7/105 - 2*s**6/15 + 8*s**5/15 - 13*s**2. Determine d so that o(d) = 0.
0, 4
Let q = -1135/4 - -284. Factor -1/4 - q*z**2 + 1/2*z.
-(z - 1)**2/4
Factor 3/4*o + 1/4*o**3 + 0 + o**2.
o*(o + 1)*(o + 3)/4
Factor 2/9*b + 2/9*b**2 + 0.
2*b*(b + 1)/9
Let y(l) be the second derivative of -l**6/45 - 4*l**5/45 - l**4/54 + 8*l**3/27 + 4*l**2/9 - 39*l. Determine o so that y(o) = 0.
-2, -1, -2/3, 1
Let j = -8 + 13. Solve -12*t**4 + 5*t**j + 7*t**3 + 0*t**4 - 2*t**2 + 2*t**3 = 0.
0, 2/5, 1
Suppose 12 = 4*u - 0. Suppose q - u*k + 7 = 97, q = -3*k + 78. Solve 84*m**3 + 90*m**2 + 24 - q*m - 9*m**3 - 24*m = 0.
-2, 2/5
Let o(n) be the third derivative of n**6/1080 + n**5/360 - n**3/6 - n**2. Let x(w) be the first derivative of o(w). Solve x(c) = 0 for c.
-1, 0
Let o(l) = 8*l**2 + 7*l - 1. Let b(d) = 7*d**2 + 6*d - 1. Suppose -2*q - 14 + 0 = 0. Let g(p) = q*b(p) + 6*o(p). Factor g(m).
-(m - 1)*(m + 1)
Factor -x + 1/4*x**2 + 3/4.
(x - 3)*(x - 1)/4
Suppose -5*s + 40 = 2*o + 3*o, 0 = -4*s + 5*