ppose -x*b**2 + 2/5*b + 0 = 0. What is b?
0, 2
Let p(n) be the second derivative of 63*n**6/2 + 135*n**5/4 + 15*n**4/4 - 55*n**3/6 - 5*n**2 - n. Determine m, given that p(m) = 0.
-1/3, 2/7
Factor 0 - 1/2*m**2 + 1/2*m.
-m*(m - 1)/2
Factor -26 - 24*v**2 + 19*v**2 + 25*v + 6.
-5*(v - 4)*(v - 1)
Let j(l) be the third derivative of l**8/2352 - l**7/490 + l**6/280 - l**5/420 + 2*l**2. Factor j(a).
a**2*(a - 1)**3/7
Suppose b + 10 = 6*b. Suppose -2*c + 12 = b. Determine k so that -4*k**5 + 2*k**3 - 5*k + 4*k + 3*k**c = 0.
-1, 0, 1
Let u(v) be the first derivative of 4*v**5/5 + v**4 - 20*v**3/3 + 6*v**2 + 28. Let u(f) = 0. Calculate f.
-3, 0, 1
Let g = 614 + -614. What is y in g + 1/2*y**4 + 0*y + 1/2*y**2 - y**3 = 0?
0, 1
Let m(j) be the second derivative of 0 + 0*j**2 - 1/18*j**3 + 5/36*j**4 + 1/30*j**6 + 2*j - 7/60*j**5. Factor m(r).
r*(r - 1)**2*(3*r - 1)/3
Let i = 141 + -139. Let 6/5*w**5 + 4/5*w**3 - 14/5*w**4 + 2/5 - i*w + 12/5*w**2 = 0. Calculate w.
-1, 1/3, 1
Factor -1/2*d + 0*d**2 + 3/2*d**3 + d**4 + 0.
d*(d + 1)**2*(2*d - 1)/2
Let w = -31 + 11. Let o be (-12)/w + (-3)/5. Let o + 0*p + 1/5*p**5 - 1/5*p**4 + 1/5*p**2 - 1/5*p**3 = 0. Calculate p.
-1, 0, 1
Let j(k) be the second derivative of -k**7/105 + k**5/30 - k**2 - k. Let s(u) be the first derivative of j(u). Factor s(w).
-2*w**2*(w - 1)*(w + 1)
Let r(f) = 10*f**3 + 61*f**2 + 84*f + 19. Let g(t) = -9*t**3 - 60*t**2 - 84*t - 18. Let q(d) = -5*g(d) - 6*r(d). Solve q(z) = 0 for z.
-2, -2/5
Let 5 - 80*y**3 - 26*y + 107*y**2 - 19*y + 54*y**2 - 41*y**2 = 0. Calculate y.
1/4, 1
Factor -3/2*t - 1/4*t**2 - 9/4.
-(t + 3)**2/4
Let s(b) be the third derivative of 1/20*b**5 + 0 - 1/5*b**4 + 0*b + 2/5*b**3 - 1/200*b**6 + 4*b**2. Suppose s(d) = 0. What is d?
1, 2
Suppose 5*m = 20 - 0. Let b(j) be the second derivative of -1/15*j**3 - 3/25*j**5 - 4/75*j**6 - 2/15*j**m - j - 1/105*j**7 + 0 + 0*j**2. Factor b(h).
-2*h*(h + 1)**4/5
Suppose -2*t + 2*f - f = -9, 2*f = -5*t. Find s, given that 0*s**2 - 4*s**3 + t*s**4 - 2*s**3 + 6*s**5 - 2*s**2 = 0.
-1, -1/3, 0, 1
Let q(w) = 3*w**3 - 6*w**2 + 6*w. Let j(s) = s. Let y(r) = -3*j(r) + q(r). Let y(v) = 0. What is v?
0, 1
Suppose 0 = -2*j + 7*j - 100. Let z = -58/3 + j. Factor 0*s - 1/3*s**3 + 8/3*s**4 - z*s**2 - 5/3*s**5 + 0.
-s**2*(s - 1)**2*(5*s + 2)/3
Let s = 6913/10 + -3079/5. Let i = s + -74. Solve 1/2 + i*g**2 + 3/2*g + 1/2*g**3 = 0.
-1
Let p be 4*(-7)/84 - (-7)/3. Factor -2/13*o**3 + 2/13*o - 2/13 + 2/13*o**p.
-2*(o - 1)**2*(o + 1)/13
Let l(c) be the third derivative of 1/32*c**4 + 0*c**3 + 2*c**2 + 0*c + 0 - 1/20*c**5. Factor l(r).
-3*r*(4*r - 1)/4
Let v be 8/(-14)*(6 + -8). Determine m, given that -106/7*m**2 + 14*m**5 - 106/7*m**3 + 8/7*m + 14*m**4 + v = 0.
-1, -2/7, 2/7, 1
Let l(r) be the second derivative of r**6/40 - 3*r**5/40 + r**4/16 - 5*r. Suppose l(j) = 0. What is j?
0, 1
Let p(q) be the third derivative of q**7/10080 - q**6/2880 + q**4/4 + q**2. Let u(a) be the second derivative of p(a). Let u(s) = 0. What is s?
0, 1
Let r be (27/21)/3 - (-22)/(-84). Let t(v) be the second derivative of -1/20*v**5 + 0*v**4 + v + 0 + r*v**3 + 0*v**2. Factor t(o).
-o*(o - 1)*(o + 1)
Let b(p) be the first derivative of 3*p**4/4 - 9*p**2/2 + 6*p - 11. Factor b(g).
3*(g - 1)**2*(g + 2)
Let c be 13*(-8)/(-12)*3. Let k be c/10 - 4/(-10). Suppose 1/4*f + 1/4*f**5 + 0 + f**4 + 3/2*f**k + f**2 = 0. Calculate f.
-1, 0
Let g(p) = 4*p**2 + 40*p + 103. Let r(k) = -20*k**2 - 200*k - 516. Let l(y) = 16*g(y) + 3*r(y). Solve l(d) = 0 for d.
-5
Let o be 3/41*512/30. Let u = -2/41 + o. Find r such that u*r**3 + 2/5*r**2 + 0 + 0*r = 0.
-1/3, 0
Let n(f) be the first derivative of 1/10*f**4 + 27/5*f**2 + 54/5*f + 6/5*f**3 + 3. Solve n(w) = 0 for w.
-3
What is g in 4*g**5 - 23*g**2 - 20*g**4 + 36*g**3 - 7*g**2 + 8*g + 2*g**2 = 0?
0, 1, 2
Let h = -2 - 12. Let p be (-7)/h*1/2. Find f, given that -p*f**2 + 0*f + 0 = 0.
0
Let g(s) be the first derivative of -3/2*s**3 - 3/4*s**2 - 9/8*s**4 + 0*s + 1 - 3/10*s**5. Factor g(c).
-3*c*(c + 1)**3/2
Let o = 56 - 53. Let u(l) be the first derivative of 9*l**o + 4/3*l - 6*l**2 - 2. Find n, given that u(n) = 0.
2/9
Factor -4/5*p**4 + 2*p**3 + 0*p + 0 - 4/5*p**2.
-2*p**2*(p - 2)*(2*p - 1)/5
Let c(j) = j**4 - j**3 + j. Let m(n) = 8*n**4 - 8*n**3 - 4*n**2 + 6*n. Let z(o) = 12*c(o) - 2*m(o). Factor z(r).
-4*r**2*(r - 2)*(r + 1)
Let b(y) be the second derivative of y**5/20 + y**4/4 + 3*y**2/2 + 5*y. Let w be b(-3). Factor 0*i**2 + 3/5*i**w + 0*i + 0 + 3/5*i**4.
3*i**3*(i + 1)/5
Let i(f) be the second derivative of f**6/150 - f**4/10 - 4*f**3/15 - 3*f**2/10 - 14*f. Factor i(l).
(l - 3)*(l + 1)**3/5
Let d be 4 - 3/(2 - -1). Factor -12*g - 3 + 0 - 9 - d*g**2.
-3*(g + 2)**2
Factor 21*g**2 + g**4 - g + 2*g**3 + 4 - 13*g - 8*g**4 - 6*g.
-(g - 1)**2*(g + 2)*(7*g - 2)
Let g(r) be the second derivative of -1/20*r**5 + 0*r**2 + 1/42*r**7 + 0*r**3 + 0*r**6 + 0*r**4 - 2*r + 0. Factor g(s).
s**3*(s - 1)*(s + 1)
Let m(d) be the first derivative of d**4/8 + d**3/12 + 3*d - 4. Let c(k) be the first derivative of m(k). Determine j, given that c(j) = 0.
-1/3, 0
Let h(l) be the third derivative of -l**8/6720 + l**7/840 - l**6/240 - l**5/12 - 5*l**2. Let s(x) be the third derivative of h(x). Factor s(t).
-3*(t - 1)**2
Let n(v) = 110*v**4 - 595*v**3 + 880*v**2 - 440*v. Let y(o) = -5*o**4 + 27*o**3 - 40*o**2 + 20*o. Let z(t) = -2*n(t) - 45*y(t). Let z(u) = 0. What is u?
0, 1, 2
Let w(y) = 25*y**2 - y. Let o be w(1). Let l = o + -21. Determine v, given that 0 + 17/4*v**l + 4*v**2 + v + 5/4*v**4 = 0.
-2, -1, -2/5, 0
Let l(t) be the first derivative of 18/5*t + 3 - 6/5*t**2 + 2/15*t**3. Factor l(h).
2*(h - 3)**2/5
Let a(u) = u**2 - 4*u + 1. Let p(f) = -2*f**2 + 5*f - 2. Let o(k) = 6*a(k) + 4*p(k). Suppose o(r) = 0. What is r?
-1
Find a such that -4/5*a + 0 + 6/5*a**3 + 2*a**2 = 0.
-2, 0, 1/3
Let k be (52/12 + -4)/1. Let a(t) be the first derivative of t + 1/4*t**4 - k*t**3 + 2 - 1/2*t**2. Suppose a(h) = 0. What is h?
-1, 1
Let n = 17 + -17. Let t(m) be the third derivative of 0*m**6 + n - 1/210*m**7 + 0*m + 0*m**4 + 1/30*m**5 - 2*m**2 - 1/6*m**3. Factor t(r).
-(r - 1)**2*(r + 1)**2
Let n(a) = a**2 + a + 1. Let r(z) = 5*z**2 + 3*z + 5. Let q(p) = -4*n(p) + r(p). Let v be q(2). Factor 2*t**v - 27*t + 27*t.
2*t**3
Let d(t) be the second derivative of -9*t**5/5 + 4*t**4 - 13*t**3/6 + t**2/2 - t. What is n in d(n) = 0?
1/6, 1
Let b = -1129 + 1133. Factor 0 + a**3 + 5/4*a**2 + 1/4*a**b + 1/2*a.
a*(a + 1)**2*(a + 2)/4
Let s(q) be the third derivative of -q**8/840 - q**7/175 - q**6/150 - 3*q**2. Factor s(r).
-2*r**3*(r + 1)*(r + 2)/5
Let i = 71 + -67. Suppose 0 = 2*p - 6 - 0. Determine w so that -2*w**p + i*w**3 - 3*w**2 + w**3 = 0.
0, 1
Let z(f) be the first derivative of 1/9*f**3 + 3 + 0*f - 1/6*f**2. Determine j so that z(j) = 0.
0, 1
Let g(y) be the first derivative of 1/2*y - 25/12*y**3 + 1/8*y**2 + 3/4*y**4 - 3. Factor g(u).
(u - 2)*(3*u - 1)*(4*u + 1)/4
Let i(v) be the second derivative of v**7/21 + v**6/15 - 16*v. Determine w, given that i(w) = 0.
-1, 0
Let m(n) be the second derivative of -n**5/150 - n**4/15 - 4*n**3/15 + n**2 - 3*n. Let t(v) be the first derivative of m(v). Find s such that t(s) = 0.
-2
Let n(k) be the second derivative of 1/15*k**3 - 5*k + 1/50*k**5 + 0 + 0*k**2 + 1/15*k**4. What is x in n(x) = 0?
-1, 0
Let k be 59/4 - (-3)/12. Suppose k + 5 = 5*d. Factor u**2 - 6*u**d - u**5 + 4*u**4 - u**2.
-u**4*(u + 2)
Factor 1/4*x**2 + 0*x - 1/4.
(x - 1)*(x + 1)/4
Find p such that 3/2*p**5 - 9*p**4 + 0*p - 12*p**2 + 18*p**3 + 0 = 0.
0, 2
Find z, given that 3 + 6*z + 0 + 4*z**2 - z**2 = 0.
-1
Let g(y) be the third derivative of y**6/60 - 30*y**2. Factor g(j).
2*j**3
Let s = -10/153 + 317/4590. Let h(o) be the third derivative of 2*o**2 + 0*o**3 - 1/54*o**4 + 0 + 0*o - s*o**5. Factor h(t).
-2*t*(t + 2)/9
Let w = 0 - -1. Let d be (w - 0)/(-1)*0. Solve 0*c + 1/4*c**3 + 0*c**2 + d = 0 for c.
0
Let f(h) be the second derivative of 1/2*h**6 + 0 + 5/2*h**4 - 3/2*h**5 + 3/2*h**2 - 1/14*h**7 - 10*h - 5/2*h**3. Factor f(x).
-3*(x - 1)**5
Let p be (-9 + -1)*(-1 - 78/(-90)). Factor -4/3 + 1/3*t**4 - p*t + t**2 + 4/3*t**3.
(t - 1)*(t + 1)*(t + 2)**2/3
Suppose -1 + 6 + 2 + 5*k + k**3 - 9 - 4*k**2 = 0. Calculate k.
1, 2
Factor -2*k**4 - 13*k + 0*k**4 - k**5 - k**3 + 13*k.
-k**3*(k +