r -250/9 - 10/3*v**2 - 50/3*v - 2/9*v**3.
-2*(v + 5)**3/9
Let q = 70 + -67. Let y = -250/7 + 36. Find b, given that 0*b**2 + 2/7*b**q - y*b + 0 = 0.
-1, 0, 1
Suppose 0 = -3*o - 54 - 21. Let c = -74/3 - o. Let 1/3*w**3 + 0 - c*w + 0*w**2 = 0. Calculate w.
-1, 0, 1
Solve -2*f + 0*f**3 - 1 - 5*f**2 + 1 - 3*f**3 = 0 for f.
-1, -2/3, 0
Let v(g) be the first derivative of g**4/66 + 2*g**3/33 - 3*g**2/11 + 7*g - 5. Let k(q) be the first derivative of v(q). Suppose k(l) = 0. What is l?
-3, 1
Let l(j) = 155*j**3 - 595*j**2 + 285*j + 990. Let r(g) = -7*g**3 + 27*g**2 - 13*g - 45. Let p(o) = -2*l(o) - 45*r(o). Factor p(m).
5*(m - 3)**2*(m + 1)
Suppose -r - 8 = -3*z - 0*z, -13 = -5*z + 2*r. Let z*j**3 + j**3 + 5*j**3 + 0*j + 6*j**2 - 3*j = 0. Calculate j.
-1, 0, 1/3
Suppose 554*w = 533*w + 42. Solve -1/2*d**3 + d + 1/2*d**w + 0 = 0.
-1, 0, 2
Let c(t) be the first derivative of t**6/24 + t**5/20 + 46. What is s in c(s) = 0?
-1, 0
Let n(s) be the third derivative of 1/60*s**5 + 0 + 0*s + 1/8*s**4 + 2*s**2 + 1/3*s**3. Factor n(a).
(a + 1)*(a + 2)
Let u(o) be the second derivative of o**6/40 - o**5/10 + o**4/8 - o**2 + 3*o. Let p(b) be the first derivative of u(b). Suppose p(h) = 0. What is h?
0, 1
Let f(y) be the second derivative of y**6/360 + y**5/96 + y**4/96 - y**3/2 - 3*y. Let k(r) be the second derivative of f(r). Factor k(d).
(d + 1)*(4*d + 1)/4
Let r = 1/132 + 3/88. Let d(v) be the second derivative of 0 + 0*v**2 + r*v**4 + 2*v - 1/6*v**3. Factor d(a).
a*(a - 2)/2
Let u(z) = -3*z**2 - 5. Let l(j) = -5*j**2 - 9. Let h(p) = 4*l(p) - 7*u(p). Let n be h(1). Factor 2/3*x + n - 7/3*x**3 - 5/3*x**2.
-x*(x + 1)*(7*x - 2)/3
Factor 1/4*u**2 + 0 + 7/4*u.
u*(u + 7)/4
Let k(l) be the first derivative of 2*l**3/39 + 5*l**2/13 + 8*l/13 - 6. Suppose k(s) = 0. Calculate s.
-4, -1
Suppose 3*y - 2*i = 21, 0 = -4*y + 3*y + 2*i + 11. Suppose -4*j - 5*f - 8 = 0, -5*j + 4*f = -j - 28. Factor 0*u**5 + j*u**3 - 2*u + 0*u**3 - u**y - u**2 + u**4.
-u*(u - 2)*(u - 1)*(u + 1)**2
Let r = 1889/4 - 470. Factor r*b**3 - 5/4*b**4 + 1/4*b**5 + 1/2*b - 7/4*b**2 + 0.
b*(b - 2)*(b - 1)**3/4
Let j(k) = -3*k**2 + 3*k - 10. Let s(u) = u**2. Let h(v) = -j(v) - 4*s(v). Factor h(f).
-(f - 2)*(f + 5)
Let y(d) be the third derivative of d**8/2240 + d**7/840 - d**6/240 - d**5/40 + d**4/6 - 4*d**2. Let s(x) be the second derivative of y(x). Factor s(h).
3*(h - 1)*(h + 1)**2
Let f(x) = x**3 + x**2 + x + 2. Let w be f(0). Suppose 2*j**w - j**2 - 4*j + 5*j = 0. What is j?
-1, 0
Let f(r) be the first derivative of -r**6/6 - 4*r**5/5 - 3*r**4/2 - 4*r**3/3 - r**2/2 + 4. Determine h, given that f(h) = 0.
-1, 0
Let t be 50/18 + 8/36. Suppose -3/5*s**2 + 0 - 3/5*s**4 + 0*s + 6/5*s**t = 0. What is s?
0, 1
Let m = -6 - -6. Let z(g) be the first derivative of 4/27*g**6 - 14/27*g**3 + m*g - 26/45*g**5 + 1/9*g**2 + 5/6*g**4 - 2. Determine x, given that z(x) = 0.
0, 1/4, 1
Suppose y = -g + 1, 3 = 3*g - 6. Let p be -2 + 3 - (-1 - y). Factor p + s + 1/2*s**2.
s*(s + 2)/2
Let g(v) be the second derivative of -v**4/40 - v**3/15 - v**2/20 - 4*v. Determine f so that g(f) = 0.
-1, -1/3
Let z(g) be the first derivative of 2*g**3/69 + 17*g**2/23 + 60. What is d in z(d) = 0?
-17, 0
Let k = -4 + 7. Suppose 4*z = c + 10, 0*c - k*c - 8 = -z. Let 2/5*o**z + 4/5 + 6/5*o = 0. Calculate o.
-2, -1
Let k be ((-4)/(-5))/((-12)/(-60)). Let t(h) be the second derivative of -5/12*h**k - 1/2*h**2 + h + 0 + 1/10*h**5 + 2/3*h**3. Find d such that t(d) = 0.
1/2, 1
Let i(w) be the third derivative of w**8/2520 + w**7/525 + w**6/900 - w**5/150 - w**4/90 - 18*w**2. Determine c so that i(c) = 0.
-2, -1, 0, 1
Factor 2/3 + b + 1/3*b**2.
(b + 1)*(b + 2)/3
Let w(q) be the second derivative of q**5/60 + q**4/18 - 2*q**3/9 - 4*q**2/3 - q. Suppose w(z) = 0. What is z?
-2, 2
Let f(y) be the first derivative of y**4 - 5*y**3/3 + 17*y**2/2 + 13*y - 3. Let s(g) = -2*g**3 + 2*g**2 - 8*g - 6. Let p(r) = -6*f(r) - 13*s(r). Factor p(d).
2*d*(d + 1)**2
Let t = 4619/7 - 659. Factor -4/7*q + 2/7*q**2 - t.
2*(q - 3)*(q + 1)/7
Let b(w) be the first derivative of 0*w - 1/4*w**4 - 2/5*w**5 - 1 + 1/6*w**6 + 2/3*w**3 + 0*w**2. Let b(m) = 0. Calculate m.
-1, 0, 1, 2
Let j be (-3)/24 + 70/432. Let s(k) be the second derivative of 0 + 5/27*k**4 + j*k**3 - 2/9*k**2 + 3*k. Factor s(y).
2*(2*y + 1)*(5*y - 2)/9
Let g(o) be the third derivative of 0*o**4 + 0 + 0*o**3 + 1/840*o**6 + 8*o**2 + 0*o**5 + 0*o. What is t in g(t) = 0?
0
Let w(g) be the second derivative of -g**8/3360 + g**6/120 - g**5/30 - g**4/12 - 3*g. Let x(f) be the third derivative of w(f). Factor x(s).
-2*(s - 1)**2*(s + 2)
Let a(f) = -9*f**2 - 91*f - 49. Let d(g) = -2*g**2 - 18*g - 10. Let x(u) = -2*a(u) + 11*d(u). Factor x(s).
-4*(s + 1)*(s + 3)
Suppose -10 = -5*u - 5*y, 7 = 5*u - y - 3. Solve 0 + 2/7*n + 2/7*n**u = 0 for n.
-1, 0
Let g = 25 - 25. Let n(m) be the third derivative of g + 0*m**4 + 0*m**6 + 1/735*m**7 + m**2 + 0*m - 1/210*m**5 + 0*m**3. Suppose n(s) = 0. Calculate s.
-1, 0, 1
Suppose -2*r - 3 = -3*r. Suppose 28 + r*a**2 - 28 = 0. What is a?
0
Let h(x) be the third derivative of x**7/315 - x**6/180 - x**5/30 + 5*x**4/36 - 2*x**3/9 + 19*x**2. Factor h(j).
2*(j - 1)**3*(j + 2)/3
Let p = -8578/5 + 1723. Let w = 163/20 - p. Find l such that -w*l + 1/2*l**2 + 1/4 = 0.
1/2, 1
Solve 2/3*c**3 + 0*c - 1/3*c**4 + 0 - 1/3*c**2 = 0.
0, 1
Let f be 0*(-10 - (-57)/6). Solve f*n**2 + 0 + 0*n - 7/5*n**4 + 2/5*n**3 = 0.
0, 2/7
Let s(i) be the second derivative of i**5/20 - i**3/3 - i**2/2 + 4*i. Let o be s(-1). Factor o + 1/2*v**3 + 0*v**2 + 0*v.
v**3/2
Let a(b) be the second derivative of b**4/16 - b**3/2 + 9*b**2/8 + 16*b. Suppose a(o) = 0. Calculate o.
1, 3
Let n(b) = -5*b**3 + 29*b**2 - 44*b + 20. Let h(q) = -5*q**3 + 28*q**2 - 43*q + 20. Let k(l) = 4*h(l) - 3*n(l). Factor k(f).
-5*(f - 2)**2*(f - 1)
Let z be 2 - -1 - (1 + -1). Let c be -1*(-5 + z + -1). Factor 2/5*m + 2/5*m**2 - 2/5*m**4 + 0 - 2/5*m**c.
-2*m*(m - 1)*(m + 1)**2/5
Let n be (3/(-6) - -1)*0. Suppose 0*u**2 + u**3 + u - 2*u**2 + n*u + 0*u**3 = 0. Calculate u.
0, 1
Let w(z) be the third derivative of z**7/11340 + z**6/1080 + z**5/270 - z**4/24 + z**2. Let l(j) be the second derivative of w(j). Let l(n) = 0. Calculate n.
-2, -1
Let c be -4*(0 - 1*10). Factor 2 + a**5 + 18*a**3 + 14*a**4 + 2*a**5 + 11*a + 8*a**3 + c*a**2 - 16*a**2.
(a + 1)**4*(3*a + 2)
Let v(o) be the third derivative of 1/300*o**6 + 5*o**2 + 1/525*o**7 + 2/15*o**3 + 0 - 1/50*o**5 - 1/60*o**4 + 0*o. Suppose v(b) = 0. Calculate b.
-2, -1, 1
Let y(n) be the first derivative of n**6/360 + n**5/120 + 4*n**3/3 - 7. Let w(k) be the third derivative of y(k). Suppose w(t) = 0. Calculate t.
-1, 0
Let r = -12 - -16. Factor -3*x**3 + r*x**3 + 3*x**2 - 4*x**2.
x**2*(x - 1)
Let d(n) be the second derivative of 5*n**7/126 + n**6/9 - n**5/4 + 10*n. Factor d(r).
5*r**3*(r - 1)*(r + 3)/3
What is w in -4/9*w**4 + 0*w + 0*w**2 - 8/9*w**3 + 0 + 4/9*w**5 = 0?
-1, 0, 2
Let a(r) be the second derivative of -2*r**7/21 - 2*r**6/15 + 4*r**5/5 + 4*r**4/3 - 11*r. Let a(i) = 0. What is i?
-2, -1, 0, 2
Let k(m) be the second derivative of m**8/9240 + m**7/4620 + m**3/6 - m. Let d(c) be the second derivative of k(c). Factor d(a).
2*a**3*(a + 1)/11
Let o(m) be the first derivative of m**5/150 + m**4/60 + 3*m**2/2 + 4. Let a(f) be the second derivative of o(f). Suppose a(v) = 0. What is v?
-1, 0
Let t(k) = k**3 - 6*k**2 + 10*k - 6. Let s be t(4). Factor -4/5 - 7/5*m**s - 16/5*m.
-(m + 2)*(7*m + 2)/5
Let h(l) be the third derivative of -l**8/672 - l**7/60 - 19*l**6/240 - 5*l**5/24 - l**4/3 - l**3/3 + 9*l**2. Factor h(d).
-(d + 1)**3*(d + 2)**2/2
Let k(g) be the second derivative of -g**7/1260 + g**6/360 - g**4/3 + 3*g. Let j(i) be the third derivative of k(i). Factor j(s).
-2*s*(s - 1)
Factor -o**5 + 9*o**3 + o**5 - 3*o**5 + 6*o**4.
-3*o**3*(o - 3)*(o + 1)
Let r be ((-88)/(-55))/(55/25). Let -6/11 - r*j - 2/11*j**2 = 0. Calculate j.
-3, -1
Let b be (-3)/(36/(-8))*12. Determine l so that 6*l + 1 + 3 + 2 - 5 + 12*l**2 + b*l**3 = 0.
-1/2
Let j(k) be the second derivative of -3*k**7/98 + k**6/70 + 2*k**5/35 - k**4/21 - 7*k. Factor j(u).
-u**2*(u + 1)*(3*u - 2)**2/7
Let t = 5/8 + 31/8. What is x in 0 + x + 5/2*x**4 + 6*x**3 + t*x**2 = 0?
-1, -2/5, 0
Suppose -5*t + 8 = -2. Factor 1/6*p + 0*p**4 - 9/2*p**5 + 3*p**3 +