 - o**3 + 2*o**5 - 5*o**3 = 0.
-1, 0, 1, 2
Let z(f) be the second derivative of -f**4/12 - 5*f**3/6 - f**2 - 3*f. Let o be z(-4). Solve -b**3 + 0*b**o - 2*b**2 - b**3 = 0 for b.
-1, 0
Let w(i) be the third derivative of i**5/20 - 2*i**3 + i**2. Find h, given that w(h) = 0.
-2, 2
Let a = 1/9 - 2/45. Let n(s) be the third derivative of -2*s**2 + 0 - 5/24*s**4 + 0*s - a*s**5 - 1/3*s**3 - 1/120*s**6. Factor n(b).
-(b + 1)**2*(b + 2)
Let u = -2509/1221 + 11/37. Let l = -12/11 - u. Determine v, given that 2/9 - 8/9*v**2 + l*v = 0.
-1/4, 1
Suppose 0 = 4*y - 5*w + 24, 2*w + w = 5*y + 17. Let x = 1 + y. Let 6/5*b**3 + 6/5*b**4 + 0 + 2/5*b**5 + x*b + 2/5*b**2 = 0. Calculate b.
-1, 0
Solve -72*x**2 + 0 + 192*x - 3/8*x**4 + 9*x**3 = 0.
0, 8
Let z(p) be the third derivative of -27*p**8/448 - 33*p**7/140 + 491*p**6/480 - p**5/3 - 29*p**4/24 - 2*p**3/3 + 18*p**2. Find w, given that z(w) = 0.
-4, -2/9, 1
Let a(y) be the second derivative of 0*y**2 + 7/6*y**4 + 0 + 1/3*y**3 - 5/7*y**7 + 47/40*y**5 - 2*y - 19/60*y**6. Determine h, given that a(h) = 0.
-2/3, -2/5, -1/4, 0, 1
Let p(a) = a**2 - 22*a + 107. Let w be p(7). Find b, given that 0 - 1/2*b - 1/4*b**w = 0.
-2, 0
Factor -1/4*b**2 - 1/8*b**3 + 1/4 + 1/8*b.
-(b - 1)*(b + 1)*(b + 2)/8
Suppose r - 3*x - 6 = 6, -5*r + 30 = -5*x. Suppose 3*f - 16 = -r*y - 1, 15 = 3*y. Solve 0*d - 2/5*d**3 + 0*d**2 + f + 2/5*d**5 + 0*d**4 = 0.
-1, 0, 1
Let t be 0 - (5 + -1 + -7). Suppose t*s - 3 = -4*g, 4*g + 5*s = s. Factor 2*u**g + 4/5*u**2 - 4/5 - 2*u.
2*(u - 1)*(u + 1)*(5*u + 2)/5
Let q = -12 + 15. Determine k, given that 8/7 + 24/7*k + 26/7*k**2 + 12/7*k**q + 2/7*k**4 = 0.
-2, -1
Factor 36/13*r**2 + 2/13*r**4 - 54/13 - 16/13*r**3 + 0*r.
2*(r - 3)**3*(r + 1)/13
Let q = 85 - 593/7. Solve 0*n**3 + q*n**4 + 0 - 2/7*n**2 + 0*n = 0 for n.
-1, 0, 1
Let r = 64 - 22. Suppose -j = -8*j + r. Find s such that -6*s + 4/3 + j*s**3 - 14/3*s**4 + 10/3*s**2 = 0.
-1, 2/7, 1
Let d be 1*(-2 - 6/(-3)). Let l = 3 + d. Determine f, given that f**2 - 3 - 3 + 5 - l*f + 3*f**3 = 0.
-1, -1/3, 1
Let r(t) = 12*t**3 - 220*t**2 + 372*t - 180. Let q(i) = -4*i**3 + 74*i**2 - 124*i + 60. Let o(p) = -8*q(p) - 3*r(p). Factor o(v).
-4*(v - 15)*(v - 1)**2
Let x be (-21)/(-14)*4/27. Factor -2/9*j**3 + 0*j**2 + 0 + x*j.
-2*j*(j - 1)*(j + 1)/9
Let h(w) = -w**3 + w. Let q(c) = 10*c**3 - 15*c**2 - 25*c. Let m(p) = 30*h(p) + q(p). Suppose m(t) = 0. What is t?
-1, 0, 1/4
Let z(i) = 6*i**2 - 48*i + 89. Let f(k) = -4*k**2 + 32*k - 59. Let u(p) = 7*f(p) + 5*z(p). Suppose u(g) = 0. What is g?
4
Let h(a) be the third derivative of -a**5/5 - 5*a**4/8 + 3*a**3 + 14*a**2. Suppose h(m) = 0. Calculate m.
-2, 3/4
Find t such that 4/9*t + 2/3*t**2 + 0 - 2/3*t**4 - 2/9*t**3 - 2/9*t**5 = 0.
-2, -1, 0, 1
Suppose 3*m + 4 = -11. Let a = -3 - m. Suppose 8/7 - 2/7*g**3 - 16/7*g + 10/7*g**a = 0. What is g?
1, 2
Suppose -10*g - 192 = -4*g. Let x be -2 + 2 + (-8)/g. Factor x*q - 1/4*q**3 + 0 + 0*q**2.
-q*(q - 1)*(q + 1)/4
Let h be (0/5)/(-3 + 8/4). Suppose 1/3*u**3 - 1/3*u**2 + h + 0*u = 0. What is u?
0, 1
Solve n**2 + 3*n**4 - 3*n - 3*n**5 - 7*n**2 + 2*n**3 + 3 + 0*n**2 + 4*n**3 = 0.
-1, 1
Suppose -5*w + 24 = 2*i, -2*w + 6 = -2*i + 2. Suppose 2 + 24*f**i + 14*f**4 + 2*f + 2*f + 7*f + 3*f**5 + 26*f**3 = 0. What is f?
-1, -2/3
Solve -f**2 + 1 + 7/2*f**3 - 7/2*f = 0.
-1, 2/7, 1
Suppose 0 = 2*v - 20 + 2. Factor -2*d**2 - 3 + 8*d**2 + 12*d - v*d.
3*(d + 1)*(2*d - 1)
Let z(g) be the third derivative of -g**7/945 - g**6/540 + g**5/270 + g**4/108 + 7*g**2. Solve z(l) = 0 for l.
-1, 0, 1
Let d(l) = l**2 - 10*l + 9. Let g be d(9). Suppose -2/7*v**4 - 6/7*v**2 + g - 6/7*v**3 - 2/7*v = 0. What is v?
-1, 0
Let y(r) be the first derivative of -11*r**4/4 + r**3 - r + 2. Let d(t) be the first derivative of y(t). Determine j, given that d(j) = 0.
0, 2/11
Factor 807*p**2 - 807*p**2 + p**3 + 2*p**4.
p**3*(2*p + 1)
Let s(b) = 10*b - 146. Let m be s(15). Let y be (-8)/(-3) + 4/(-6). Factor 2/5*i**m + 0*i - 2/5*i**y + 0 + 1/5*i**5 - 1/5*i**3.
i**2*(i - 1)*(i + 1)*(i + 2)/5
Let r(x) be the first derivative of -1/9*x**3 + 0*x**2 + 1/15*x**5 + 0*x + 0*x**4 + 2. Suppose r(b) = 0. What is b?
-1, 0, 1
Let n be (1 - (-80)/(-45)) + 1. Factor -n*m**2 + 0 + 2/9*m.
-2*m*(m - 1)/9
Let t = 6 - 3. Let o - 2*o**3 + t*o**5 + 0*o - 2*o**5 = 0. What is o?
-1, 0, 1
Let s(g) be the second derivative of g**5/5 - 3*g**4 + 10*g**3 + 50*g**2 - 7*g. Factor s(j).
4*(j - 5)**2*(j + 1)
Let f(x) = x**2 - 1. Let a(s) be the third derivative of s**5/30 + s**4/12 - s**3/6 + 6*s**2. Let z(i) = 3*a(i) - 3*f(i). Factor z(d).
3*d*(d + 2)
Let j be (-88)/(-48) + ((-7)/6)/(-7). Determine x so that -2/3*x - 2/3*x**j + 4/3 = 0.
-2, 1
Let v(j) be the third derivative of 1/10*j**5 + 1/3*j**4 + 1/105*j**7 + 0*j + 2*j**2 + 0 - 1/15*j**6 - 4/3*j**3. Factor v(l).
2*(l - 2)**2*(l - 1)*(l + 1)
Let h be (3 - 2)/((14/(-4))/(-7)). Suppose 1/2*d + 1 - 1/2*d**h = 0. What is d?
-1, 2
Let 0*r**4 + 0 + 0*r**2 + 16/5*r**3 - 2/5*r**5 - 32/5*r = 0. What is r?
-2, 0, 2
Factor 4/7*c**2 - 8/7*c**3 + 5/7*c**4 + 0 + 0*c - 1/7*c**5.
-c**2*(c - 2)**2*(c - 1)/7
Suppose 0 - 2/9*l**3 + 2/9*l**2 + 4/9*l = 0. Calculate l.
-1, 0, 2
Let z = 8 - 8. Suppose -c + 2 = -z. Factor -3/4*w**c + w - 1/2*w**3 + 1/4*w**4 + 1.
(w - 2)**2*(w + 1)**2/4
Factor 3*z**2 - 2*z**2 + 0*z + z - 4*z.
z*(z - 3)
Let u be (-3)/(-12) + ((-126)/24)/(-3). Factor -9*d**u + 24/5*d - 4/5 + 5*d**3.
(d - 1)*(5*d - 2)**2/5
Let j(i) be the first derivative of 0*i**2 + 1/4*i**4 - 1/6*i**3 + 0*i - 1/10*i**5 + 4. Solve j(k) = 0 for k.
0, 1
Suppose 2*f + 6 = 5*f. Let u = -127 - -127. Factor 1/3*v**f + u*v + 0.
v**2/3
Let l = -10 - -15. Suppose -1 - g**2 - 5/2*g + 2*g**4 + 1/2*g**l + 2*g**3 = 0. What is g?
-2, -1, 1
Let g be 2/20*(-180)/(-24). Let -g*l + 1/4*l**3 + 1/2 + 0*l**2 = 0. Calculate l.
-2, 1
Suppose -2*s = -3 - 1. Factor -3/2*p**2 - p**3 + s + 2*p + 1/2*p**4.
(p - 2)**2*(p + 1)**2/2
Let g be 1 - (1 + (-5)/10). Let j(q) be the second derivative of q - 3/20*q**5 + 0 + g*q**3 + 3/2*q**2 - 1/4*q**4. Factor j(n).
-3*(n - 1)*(n + 1)**2
Let g(v) be the first derivative of 3*v**8/56 + v**7/5 + 4*v**6/15 + 2*v**5/15 - v**2/2 + 1. Let u(d) be the second derivative of g(d). Factor u(t).
2*t**2*(t + 1)*(3*t + 2)**2
Let d be -8*(-2)/4 - 3 - -1. Suppose -5*y = -2*z - 15, 2*z + 4*y - 46 = -16. Determine q, given that -z*q + 0 + 3*q + 2*q**d + 0 = 0.
0, 1
Let z(v) be the third derivative of -v**5/180 + 2*v**3/9 - 12*v**2. Find k such that z(k) = 0.
-2, 2
Determine h, given that -2/7*h**2 - 4/7*h + 6/7 = 0.
-3, 1
Let b(v) = -5*v**2 + v. Let h be b(-1). Let f be -2*((-63)/h)/(-7). Solve 6*o + 5*o**2 + 2 + 5*o**3 - 3*o**f + o**2 = 0 for o.
-1
Let q(w) be the second derivative of 0 + w - 1/36*w**4 - 1/180*w**5 - w**2 + 0*w**3. Let t(c) be the first derivative of q(c). Find u such that t(u) = 0.
-2, 0
Let b(s) = 7*s - 1. Let l be b(1). Let g = l + -4. Determine w so that 0*w**5 + 2*w**g - 1 - w**4 - w**5 + 2*w**3 - w + 0*w**3 = 0.
-1, 1
Suppose 3*q = -0*q - u + 8, 2*u = 5*q - 6. Let z(w) be the third derivative of 0*w + 1/21*w**3 - w**q + 0 + 1/42*w**4 + 1/210*w**5. Solve z(k) = 0 for k.
-1
Factor -4/5*l**5 + 0*l - 8/5*l**3 + 12/5*l**4 + 0*l**2 + 0.
-4*l**3*(l - 2)*(l - 1)/5
Let h(p) be the first derivative of p**6/24 - p**5/10 - 3*p**4/16 + p**3/3 + p**2/2 - 5. What is d in h(d) = 0?
-1, 0, 2
Let a = 28/65 + -2/65. Factor 1/5*s + a - 3/5*s**2.
-(s - 1)*(3*s + 2)/5
Let j be 40/(-144)*(-9)/6. Let n(d) be the second derivative of 1/6*d**3 - j*d**4 + 0*d**2 + 1/5*d**5 + 3*d + 0. Factor n(z).
z*(z - 1)*(4*z - 1)
Let b be (-4 + 2)/((-2)/3). Suppose -k - b = -4*k. Suppose 2*x + 1 + x**2 + 1 - k + 0 = 0. Calculate x.
-1
Suppose 7 = 5*q - 8. Find c such that -4/5*c**5 - 1/5*c**4 + 0 + 4/5*c**q + 0*c + 1/5*c**2 = 0.
-1, -1/4, 0, 1
Let k(b) be the first derivative of 5*b**4/4 + 10*b**3/3 - 5*b**2/2 - 10*b + 7. Solve k(u) = 0 for u.
-2, -1, 1
Let t(o) = o**2 - 4*o + 3. Let q be t(4). Let d(w) = w + 6. Let p be d(-4). Determine j, given that -8*j**3 + 0*j**2 - j**2 + q*j**p = 0.
0, 1/4
Find y such that 3*y**4 + 3 - 9*y + 3*y**3 - 8*y**2 - y**5 + 2*y**2 - y**3 + 8*y = 0.
-1, 1, 3
Let t = 5 - 3. Find z such that -z**t + 0*z**2 + 1 - z + 2*z**3 - z**3 = 0.
-1, 1
Let c = -29 + 31. Let k(i) be the second derivative of -1/2*i**c + 0 - 1/3*i**3 - 1