/10*k**6 + 0*k**3. Factor x(f).
3*f**2*(f - 1)*(f + 1)**2
Let z(b) = -8*b**4 + 19*b**3 + 10*b**2 - 53*b - 19. Let y(n) = 3*n**4 - 6*n**3 - 3*n**2 + 18*n + 6. Let f(k) = 17*y(k) + 6*z(k). Find j such that f(j) = 0.
-2, -1, 1
Let 22*w**3 + 36*w**2 - 2*w**4 + 15*w**3 + 16*w - 13*w**3 + 6*w**4 = 0. Calculate w.
-4, -1, 0
Factor -2/3*f**3 + 2/3*f**4 - 2/3*f**2 + 2/3*f + 0.
2*f*(f - 1)**2*(f + 1)/3
Let q(t) be the second derivative of -t**6/10 + t**5/4 + 13*t**4/12 - t**3/6 - 3*t**2 + 9*t. Factor q(j).
-(j - 3)*(j + 1)**2*(3*j - 2)
Let j(z) be the second derivative of 0*z**3 + 4*z + 0 - 1/54*z**4 + 4/9*z**2. Factor j(i).
-2*(i - 2)*(i + 2)/9
Let y(c) = c + 1. Let p(t) = -4*t**2 + 34*t - 62. Let d(n) = p(n) - 2*y(n). Solve d(s) = 0.
4
Suppose -5*r + 3*r = 6. Let d be (-33)/(-4) + -1 + r. Factor 21/4*u**3 - d*u**4 + 1/2*u + 5/4*u**5 - 11/4*u**2 + 0.
u*(u - 1)**3*(5*u - 2)/4
Let l(b) be the first derivative of 1/2*b**6 - 1/5*b**5 + b**2 - 5/4*b**4 + 1/3*b**3 + 0*b + 4. Factor l(f).
f*(f - 1)**2*(f + 1)*(3*f + 2)
Let v(n) be the third derivative of n**8/1848 + n**7/1155 - n**6/660 - n**5/330 - 14*n**2. Factor v(h).
2*h**2*(h - 1)*(h + 1)**2/11
Suppose -2 = 2*r - r. Let f be -3*(r + 3) - -3. Factor 2/7*t**4 + f*t**3 + 2/7 - 4/7*t**2 + 0*t.
2*(t - 1)**2*(t + 1)**2/7
Solve -2/5*h + 0 + 2/5*h**2 = 0 for h.
0, 1
Let z be ((-10)/20)/(8/(-6)). Let f = z - -1/8. Suppose 1/4 + 1/4*k**2 + f*k = 0. Calculate k.
-1
Let x = -6/59 - -632/413. Factor 4/7 - 2*v**2 + x*v.
-2*(v - 1)*(7*v + 2)/7
Let l(t) = 4*t**5 + 5*t**4 + 3*t. Let c be (-1 - -3)/(12/(-18)). Let m(x) = -11*x**5 - 14*x**4 - 8*x. Let o(r) = c*m(r) - 8*l(r). Let o(y) = 0. What is y?
-2, 0
Let x(z) be the first derivative of -3*z**5/5 + 15*z**4/4 - 7*z**3 + 9*z**2/2 + 4. Factor x(u).
-3*u*(u - 3)*(u - 1)**2
Factor -4 + 2*j**2 + 7/4*j**4 - 1/4*j**5 + 4*j - 4*j**3.
-(j - 2)**4*(j + 1)/4
Let h(u) = -u**3 + u - 1. Let o(n) = -220*n**3 + 280*n**2 + 232*n + 8. Let a(y) = 24*h(y) - o(y). Solve a(f) = 0.
-2/7, 2
Let v(l) be the second derivative of l**4/12 - 5*l**3/3 + 9*l**2/2 + 22*l. Factor v(z).
(z - 9)*(z - 1)
Factor -4*z**2 + 4*z + 0*z + 2*z**3 + 0*z**3 - 2*z.
2*z*(z - 1)**2
Determine u, given that 3*u + 0 - 3/2*u**2 = 0.
0, 2
Let s be ((-3)/2)/3*-8. Let b(l) be the first derivative of -4*l**2 + 17/5*l**5 - 2/3*l**6 - s + 22/3*l**3 + l - 7*l**4. Factor b(c).
-(c - 1)**4*(4*c - 1)
Suppose -4*t = t. Let q(o) be the first derivative of t*o + 0*o**2 + 2 - 1/4*o**4 + 1/3*o**3. Let q(n) = 0. Calculate n.
0, 1
Let u(f) be the first derivative of -f**9/9072 - f**8/1680 - f**7/840 - f**6/1080 - 2*f**3/3 - 2. Let o(h) be the third derivative of u(h). Factor o(s).
-s**2*(s + 1)**3/3
Let y be (8/10)/(14/105). Let m(n) be the third derivative of -n**2 + 0*n**3 + 1/96*n**4 + 0 + 1/120*n**5 + 0*n + 1/480*n**y. Let m(h) = 0. What is h?
-1, 0
Let d(i) be the second derivative of i**4/18 + 10*i**3/9 + 25*i**2/3 + 13*i. Factor d(m).
2*(m + 5)**2/3
Let z(i) be the second derivative of -169*i**4/3 - 104*i**3/3 - 8*i**2 + 12*i. Factor z(d).
-4*(13*d + 2)**2
Suppose 0 = x - 8 + 2. Let u(v) be the third derivative of 0 + 0*v**5 + 0*v**4 + 2*v**2 + 0*v + 0*v**3 + 1/120*v**x. Factor u(y).
y**3
Let i(c) be the third derivative of -c**5/240 - c**4/12 - 2*c**3/3 + c**2. Suppose i(v) = 0. Calculate v.
-4
Let g = -93 + 280/3. Let 1/3*r**2 - g*r**3 + 0 + 0*r = 0. What is r?
0, 1
Suppose -4*g - 5*x + 36 = 0, -3*x + 4 = -8. Suppose 2*h**5 - h**2 - h**5 + 0*h**3 + h**g - 3*h**3 + 2*h**3 = 0. Calculate h.
-1, 0, 1
Let s be (-2 - -1)/(1/2 + -1). Solve -1/3*k**s - 1/3 + 2/3*k = 0.
1
Let f be 1 + -3 - (-11)/((-198)/(-48)). Determine j so that -f*j**2 + 0 + 2/3*j**3 + 2/3*j**4 + 0*j - 2/3*j**5 = 0.
-1, 0, 1
Let a(r) be the second derivative of -r**4/12 - r**3/6 + 8*r. What is s in a(s) = 0?
-1, 0
Let m(p) be the second derivative of p**8/3360 + p**7/140 + 3*p**6/40 + 9*p**5/20 - p**4/3 - p. Let v(j) be the third derivative of m(j). Solve v(l) = 0.
-3
Suppose 3*y + y - z - 20 = 0, -2*y = 4*z - 10. Solve -7*g**2 + 2*g**3 - 10*g + 0*g**2 - 6 + y*g**2 = 0 for g.
-1, 3
Factor -1/2*h**3 + 0 - 1/2*h**2 + 0*h.
-h**2*(h + 1)/2
Let z(j) be the second derivative of j**4/24 - j**3/12 + 6*j. Factor z(i).
i*(i - 1)/2
Let y(w) be the second derivative of 0 + 0*w**5 + 0*w**2 - 1/3*w**3 - 2*w - 1/24*w**4 + 1/360*w**6. Let p(j) be the second derivative of y(j). Factor p(d).
(d - 1)*(d + 1)
Determine t so that 3*t - 2*t**2 - 3*t**2 + 8*t**2 - 6 = 0.
-2, 1
Determine p so that 4/3*p**3 + 4/3 + 16/3*p**2 - 2/3*p**5 - 4/3*p**4 + 14/3*p = 0.
-1, 2
Let k = -373/30 - -25/2. Let r(c) be the first derivative of -1/15*c**3 - 1/5*c**5 + k*c**6 + 2 + 0*c**2 + 0*c + 1/5*c**4. Factor r(v).
v**2*(v - 1)**2*(2*v - 1)/5
Let k be (-2)/9*(-19 - -16). Suppose -4/9*i**4 + 4/9*i**2 + 0*i + 2/3*i**3 - k*i**5 + 0 = 0. Calculate i.
-1, -2/3, 0, 1
Let u be (36/(-432))/(0 + (-2)/6). Factor -u*n**3 + 0 + 0*n + 1/4*n**2.
-n**2*(n - 1)/4
Let w = -42 + 45. Let u(z) be the third derivative of 1/30*z**5 + 1/30*z**6 + 0*z**3 + 0*z + 0 + w*z**2 - 1/12*z**4. Factor u(r).
2*r*(r + 1)*(2*r - 1)
Let -1322 + 166 - 4*t**2 - 70*t - 84*t + 18*t = 0. What is t?
-17
Let j = -2/3 - -7/6. Suppose 5*w + 5*s = -15, -5*w - 2*s = -0*s + 6. Find x such that 1/2*x + j*x**2 + w = 0.
-1, 0
Let s(i) = 2*i**2 - 2*i - 2. Let o(m) = -m**3 - 9*m**2 + 10*m + 11. Let n(v) = -4*o(v) - 22*s(v). Solve n(r) = 0 for r.
0, 1
Solve 3*x**2 - 6*x - 6*x**2 + 12*x = 0.
0, 2
Factor -11*y**4 - 2*y + 5*y**3 + 10*y**4 - 5*y**2 - 9*y**3.
-y*(y + 1)**2*(y + 2)
Suppose 3*b + 0*b - 678 = 0. Find z, given that 32 - 163*z**3 + 206*z + 1944*z**2 + 3079*z**3 + b*z = 0.
-2/9
Let h(d) be the third derivative of -d**6/720 - d**5/120 - d**4/48 - d**3/36 + 22*d**2. Factor h(j).
-(j + 1)**3/6
Factor 1/2 - 3/4*o - 3*o**2 - 7/4*o**3.
-(o + 1)**2*(7*o - 2)/4
Let r(m) = -m**2 - 6*m. Let t = -8 - -2. Let n be r(t). Factor 4*k**3 + 2*k**4 + n*k**4 + 3*k**2 + 0*k**3 - k**2.
2*k**2*(k + 1)**2
Let j(w) = -2*w**2 + 42*w - 102. Let m(x) = -x**2 - x + 1. Let h(b) = -j(b) - 2*m(b). Factor h(z).
4*(z - 5)**2
Let a be (1*(-14)/3)/(65/(-39)). Let b be ((-8)/28)/((-1)/7). Factor 4/5 + 8/5*c**b - 8/5*c**3 + a*c.
-2*(c - 2)*(2*c + 1)**2/5
Determine y, given that -7/2*y + 3 + 1/2*y**2 = 0.
1, 6
Let x = -2 - -4. Let j = -451/2 - -226. Suppose j*y + 1/2*y**x - 1 = 0. Calculate y.
-2, 1
Suppose -15 = 5*o - 10*o. Factor 2/5 - 2/5*j + 2/5*j**o - 2/5*j**2.
2*(j - 1)**2*(j + 1)/5
Factor -5 + 4*k**3 - 4 - 7 + 12*k**2 + 0.
4*(k - 1)*(k + 2)**2
Let a(p) be the first derivative of p**6/12 - p**5/10 - 5. Determine k so that a(k) = 0.
0, 1
Suppose -5*g = -2*g - 15, -g + 5 = -4*q. Solve -2/5*o**2 + 4/5*o + q = 0.
0, 2
Let q(k) be the first derivative of -1 - 1/6*k**2 - 2/3*k + 1/9*k**3. Solve q(p) = 0 for p.
-1, 2
Let u = 6 - 3. Suppose -5 = -5*r, -4*r = u*g + 2*g - 4. Let g*a + 2/7*a**3 + 0*a**2 + 0 = 0. What is a?
0
Factor -3/2*v**3 + 1/2*v + v**2 + 0.
-v*(v - 1)*(3*v + 1)/2
Find l, given that -8*l**2 - 8/9 + 40/9*l**3 + 14/3*l = 0.
1/2, 4/5
Let a = 12 + 1. Find s such that 2*s - a*s + s + 4*s - 3*s**2 = 0.
-2, 0
Suppose 0 = 6*b - b - 5*i - 20, 0 = 5*i + 5. Let m be ((-3)/(-2))/(-1) + 2. Determine p, given that -1/2*p**2 + 1/2 - m*p**b + 1/2*p = 0.
-1, 1
Let d = 2 - -2. Factor -x**4 - 6*x**2 + 15*x**3 + d - 2*x**4 - 12*x**2 - 12*x + 20.
-3*(x - 2)**3*(x + 1)
Let t = 35 + -28. Let a(g) = -8*g**3 - 9*g**2 + 8*g - 5. Let c(o) = -7*o**3 - 8*o**2 + 7*o - 4. Let f(k) = t*c(k) - 6*a(k). Let f(l) = 0. What is l?
-2, -1, 1
Let w = 2/257 - -504/1285. Let f(t) be the first derivative of -w*t**5 + 0*t - 4 + 1/6*t**6 - 1/4*t**4 + 0*t**2 + 2/3*t**3. Suppose f(h) = 0. Calculate h.
-1, 0, 1, 2
Let u(b) = -8*b**2 - 4*b - 6. Let k(j) = j**2 + j + 1. Let t(a) = 12*k(a) + 2*u(a). Find s such that t(s) = 0.
0, 1
Let l(x) be the second derivative of -2*x - 1/8*x**3 + 0 - 1/48*x**4 - 1/4*x**2. Find z such that l(z) = 0.
-2, -1
Let p(m) = -m**3 + 4*m**2 + 7*m - 7. Let x be p(5). Factor -1/3*t**x + 5/3*t**2 - t - 3.
-(t - 3)**2*(t + 1)/3
Let b(l) be the first derivative of -l**8/84 + 4*l**7/105 - l**6/24 + l**5/60 - l**2/2 - 3. Let a(s) be the second derivative of b(s). Solve a(t) = 0.
0, 1/2, 1
Let q be (-3)/45*(-4)/12. Let m(l) be the second derivative of 0 - 1/6*l**4 + 0*l**5 + q*l**6 + 2*l + 0*l**2 + 2/9