+ 3*j**2 = 0.
-2, -1, 0
Let w = 101/78 - -1/26. Factor -2/3*g**3 + 2*g - w + 0*g**2.
-2*(g - 1)**2*(g + 2)/3
Let q = 14 - 0. Factor -q*d**3 - d**5 + 26*d**3 - 2*d**4 - 13*d**3.
-d**3*(d + 1)**2
Let v(q) = -q**2. Let l = 35 - 11. Let z(x) = -9*x**2 - x + 2. Let n(b) = l*v(b) - 3*z(b). Find t such that n(t) = 0.
-2, 1
Let m(x) be the third derivative of 0*x**4 + 0*x + 2/15*x**5 + 0*x**3 + 2/5*x**6 + 0 + 1/8*x**8 - 2*x**2 + 41/105*x**7. Determine b, given that m(b) = 0.
-1, -2/3, -2/7, 0
Factor -3*m - 1 - 3*m - 5*m**2 - 4*m**2.
-(3*m + 1)**2
Let o(s) = 18*s - 1. Let a be o(1). What is k in 34*k**2 - a*k**4 + 98*k**5 - 146*k**3 - 5*k**4 + 8 + 7*k + 41*k - 20*k**4 = 0?
-1, -2/7, 1
Let t(a) = -7*a**4 - a**3 - 3*a**2 + 3. Let i(p) = 13*p**4 + 3*p**3 + 5*p**2 - 5. Let w(z) = 3*i(z) + 5*t(z). Factor w(s).
4*s**3*(s + 1)
Let 0*r**2 + 2/5*r**3 + 0 + 0*r**4 - 1/5*r - 1/5*r**5 = 0. Calculate r.
-1, 0, 1
Let j(l) be the third derivative of -l**6/420 - 11*l**5/70 - 121*l**4/28 - 1331*l**3/21 + 17*l**2. Find i, given that j(i) = 0.
-11
Suppose 1 = -5*r + 16. Let 6*p**4 + 1 + 2*p**3 + 2*p**3 - 5*p - 2*p**4 - r - 2*p**2 + p**5 = 0. Calculate p.
-2, -1, 1
Factor -15 + 6*n + 5*n**2 + 17 + 2*n**3 + n**2.
2*(n + 1)**3
Let q(w) be the second derivative of -4*w + 1/120*w**6 + 1/48*w**4 + 3/80*w**5 - 1/4*w**2 + 0 - 1/8*w**3. Factor q(f).
(f - 1)*(f + 1)**2*(f + 2)/4
Determine i so that 4*i**3 - 4*i + 2 - 3*i**3 + 6*i**2 - 2*i - 3*i**3 = 0.
1
Let s be (-6 + 38/5)/(2/5). Suppose 4/3*r**s + 2/3*r**5 + 2/3*r**3 + 0*r**2 + 0*r + 0 = 0. What is r?
-1, 0
Let w(t) = 8*t**3 - 12*t + 2. Let k(c) = -7*c**3 - c**2 + 11*c - 2. Let i(h) = -6*k(h) - 5*w(h). Let v(f) = f**3. Let j(u) = -i(u) + 4*v(u). Factor j(q).
2*(q - 1)**3
Let k be (-2)/6 + (-10)/(-3). Suppose -4 = -4*t + 2*t. Factor 1 + n**5 - 3*n**4 - t*n**2 - 15*n + 4*n**2 + 2*n**k + 12*n.
(n - 1)**4*(n + 1)
Suppose s + 4*r = 4*s - 16, -2*r - 8 = 2*s. Factor 2*y**4 + 2*y + s - 5 + 5 + 6*y**2 + 6*y**3.
2*y*(y + 1)**3
Let p(w) be the second derivative of -w**5/20 + w**3/6 + 2*w. Suppose p(d) = 0. Calculate d.
-1, 0, 1
Suppose -2*r + 2*s + 64 = -0*s, -92 = -3*r + 4*s. Factor 105*j**2 + 40*j**3 + 6 - 2 + r*j + 58*j**3.
(2*j + 1)*(7*j + 2)**2
Let i(o) = o**2 - o. Let d be i(2). Factor 0*q**3 - 6*q**d + q**4 + q + 3*q**3 + 9*q**2.
q*(q + 1)**3
Let t(i) = 10*i**2 - 61*i + 8. Let a be t(6). Determine c so that 0*c + c**3 - 2/3*c**a + 0 = 0.
0, 2/3
Factor 54/5*r + 48/5 + 6/5*r**2.
6*(r + 1)*(r + 8)/5
Suppose -5*b = -5*z - 35, -4*b + 38 - 9 = -5*z. Let t = 9 - b. Let 1/5*k**5 + 0 + 3/5*k**t - 1/5*k**2 - 3/5*k**4 + 0*k = 0. What is k?
0, 1
Let f = -69/44 + 7/4. Factor -2/11*a**3 - 2/11*a**2 + f*a + 2/11.
-2*(a - 1)*(a + 1)**2/11
Suppose 3*p - 9 = -2*k, 0*p + 32 = 5*k - 2*p. Let o = 8 - k. What is h in -5*h**3 + 0*h**3 + 0*h**3 - h**o + 4*h**3 = 0?
-1, 0
Let s = -1 - -3. Suppose 1 - 6*d**s + 7*d**2 - 3*d + 1 = 0. What is d?
1, 2
Let v(d) = -4*d + 1. Let l be v(-1). Suppose r + 0*r - l = 0. Suppose -1/3*s**2 - s**3 + 0 + 2/3*s**r + 1/3*s**4 + 1/3*s = 0. Calculate s.
-1, 0, 1/2, 1
Let h(t) be the second derivative of -t**7/7560 - t**4/12 - 6*t. Let r(i) be the third derivative of h(i). Factor r(n).
-n**2/3
Let h be (-1)/((-5)/4 + 1). Factor 13*d**2 - 13*d**2 - d**h.
-d**4
Factor -2/3*v**2 - 2/3*v + 0.
-2*v*(v + 1)/3
Factor 1/7*i**5 + 1/7*i**3 + 0*i + 0 + 0*i**2 + 2/7*i**4.
i**3*(i + 1)**2/7
Let h = 11 + -8. Factor 2*c**3 - 2*c**4 + h*c + 2*c**2 + 0*c**3 - 3*c - 2*c.
-2*c*(c - 1)**2*(c + 1)
Suppose -4/3 + 1/3*k**2 + k = 0. Calculate k.
-4, 1
Let h(a) be the first derivative of -1/12*a**4 + 0*a + 1/30*a**5 - 1 + a**2 - 2/3*a**3. Let q(y) be the second derivative of h(y). Factor q(z).
2*(z - 2)*(z + 1)
Let z(n) be the first derivative of n**3/9 + 4*n**2/3 + 16*n/3 + 3. Find v, given that z(v) = 0.
-4
Let b = 32 - 28. Let x(o) be the first derivative of 0*o + 1 + 0*o**3 + 1/12*o**b + 0*o**2. Factor x(c).
c**3/3
Suppose -3*h + 2 = -o - h, 5 = 3*o + 5*h. Factor 0 + o*i + 0*i**2 - 3/7*i**3.
-3*i**3/7
Let w(v) = -v**4 + v**2. Let h(t) = -3*t**4 - t**3 + 4*t**2. Let p be (-21)/(-9) + (-4)/(-6). Let d = p - 1. Let o(a) = d*h(a) - 7*w(a). Factor o(i).
i**2*(i - 1)**2
Suppose 2*w + 3*w - 100 = 0. Suppose v - 5*k = -w, 0*v - k = -v. Factor 2*u**2 + 12*u**4 + u**v - 15*u**4 - 3*u**2 + 3*u**3.
u**2*(u - 1)**3
Let i(q) = 6*q + 44. Let d be i(-7). Factor 9/5*f - 2/5 - 7/5*f**d.
-(f - 1)*(7*f - 2)/5
Let c(m) = 5*m**4 - 8*m**3 - 3*m**2 - 2*m + 2. Let w(v) = 11*v**4 - 17*v**3 - 7*v**2 - 5*v + 5. Let p(k) = -13*c(k) + 6*w(k). Factor p(g).
(g - 1)**2*(g + 2)**2
Let x(z) be the second derivative of -z**8/2800 + 2*z**3/3 + 3*z. Let u(v) be the second derivative of x(v). Find q such that u(q) = 0.
0
Let z = 795 - 4001/5. Let a = 6 + z. Factor 6/5*w**2 - a*w + 1/5 - 4/5*w**3 + 1/5*w**4.
(w - 1)**4/5
Factor -3/2*k + 7/4 - 1/4*k**2.
-(k - 1)*(k + 7)/4
Let a(n) = -6*n**4 + 11*n**3 + 59*n**2 + 71*n + 29. Let b(d) = -3*d**4 + 6*d**3 + 30*d**2 + 36*d + 15. Let s(o) = 3*a(o) - 5*b(o). Find y such that s(y) = 0.
-1, 4
Let l(y) be the first derivative of -y**3/2 - 3*y**2/2 - 3*y/2 - 17. Let l(r) = 0. What is r?
-1
Let b(t) = -13*t**2 - 7*t. Let r be b(-3). Let l be 1/(-8) + (-76)/r. Find k such that -l*k**2 + 8/3*k - 8/3 = 0.
2
Let i(o) be the second derivative of -1/150*o**5 - 2*o + 0 + 1/2*o**2 - 4/15*o**3 - 1/15*o**4. Let u(l) be the first derivative of i(l). Factor u(s).
-2*(s + 2)**2/5
Find a such that a**2 - 26*a**3 + 8*a**3 + 2*a**2 - 6*a**4 + 15*a**3 = 0.
-1, 0, 1/2
Let c(q) = -5*q + 1. Let w(i) = 2*i. Let z(g) = -3*c(g) - 7*w(g). Let r be z(5). Let -r*l**2 + 9*l - 9*l = 0. What is l?
0
Let r(g) = 7*g**2 + 2*g + 5. Let m(w) = 11*w**2 + 3*w + 8. Suppose 2*y - 4*y - 10 = 0. Let i(z) = y*m(z) + 8*r(z). Determine f so that i(f) = 0.
-1, 0
Let b(u) be the second derivative of -1/30*u**3 - 1/100*u**5 + 0*u**2 + u + 0 + 1/30*u**4. What is f in b(f) = 0?
0, 1
Let v = -2245 + 11339/5. Find o, given that -96/5*o**2 - 3*o**5 - v*o**3 - 66/5*o**4 - 39/5*o - 6/5 = 0.
-1, -2/5
Let f(i) be the first derivative of -i**7/105 + i**6/60 + i**5/30 - i**4/12 + 3*i**2 + 3. Let n(c) be the second derivative of f(c). Factor n(j).
-2*j*(j - 1)**2*(j + 1)
Determine x, given that 10/7*x**3 - 18/7*x**2 + 0 - 4/7*x = 0.
-1/5, 0, 2
Let s(f) be the first derivative of 14/9*f**3 + 4/3*f - 2 + 3*f**2. Suppose s(c) = 0. Calculate c.
-1, -2/7
Let a be (-2)/5 + (-102)/(-30). Suppose -3*u + u = -8. Factor a*t**3 + 5*t - 6*t - 2*t**2 - u*t**3.
-t*(t + 1)**2
Let z = -29 - -31. Let h(y) be the third derivative of 0*y**4 + 3*y**z + 1/420*y**7 + 0*y**3 + 0*y**5 + 0 + 1/120*y**6 + 0*y. Solve h(v) = 0 for v.
-2, 0
Let k(m) be the second derivative of m**4/24 + m**3/2 + 5*m**2/4 - 6*m. Solve k(q) = 0 for q.
-5, -1
Let g = 2 - 4/3. Factor -g + 1/3*p**3 + 1/3*p**4 - p**2 - 5/3*p.
(p - 2)*(p + 1)**3/3
Let j(v) = 6*v**5 - 9*v**4 + 6*v**3 + v**2 + 6*v. Let w(m) = m**5 - m**4 + m**2 + m. Let k(d) = -4*j(d) + 20*w(d). Factor k(y).
-4*y*(y - 1)**4
Let r be (15/(-2))/(-5)*26. Let z = 119/3 - r. Suppose -1/3*s**2 + s - z = 0. Calculate s.
1, 2
Let w(r) be the second derivative of 2*r**6/21 - 27*r**5/140 - r**4/21 + 3*r**3/14 + r**2/7 + 26*r. Let w(v) = 0. What is v?
-2/5, -1/4, 1
Factor -10/3*p**2 + 2/3*p**3 - 2 + 14/3*p.
2*(p - 3)*(p - 1)**2/3
Let r(y) be the third derivative of -11/120*y**6 + 0 + 0*y**3 - 1/7*y**7 + 1/6*y**4 + 0*y + 25/336*y**8 + 1/5*y**5 - 2*y**2. Suppose r(o) = 0. What is o?
-2/5, 0, 1
Let x be -6 + (-104)/(-18) + 32/90. Let z(j) be the first derivative of -4/5*j + x*j**3 - 1 - 1/5*j**2. Let z(i) = 0. Calculate i.
-1, 2
Let k(z) be the second derivative of -z**7/735 - z**6/420 - z**2 + 2*z. Let p(x) be the first derivative of k(x). Let p(v) = 0. Calculate v.
-1, 0
Suppose 5*z + q - 5*q + 6 = 0, -3*q + 18 = 3*z. Suppose -12 = 5*b - 32. Solve 0*j - j**b - 7/2*j**3 + 0 + 7/2*j**5 + j**z = 0 for j.
-1, 0, 2/7, 1
Let p = -3 + 1. Let t be -5*(-2)/(-10)*p. Find f, given that -6*f**5 + 0*f**5 + 2*f**3 - 4*f**t + 8*f**4 + 0*f**2 = 0.
-2/3, 0, 1
Let n(m) be the second derivative of -m + 0 + 1/18*m**3 + 1/60*m**5 + 1/18*m**4 + 0*m**2. Factor n(g).
g*(g + 1)**2/3
Determine b so that 7 - 2*b**2 + b**2 - 2*b - 8 = 0.
-1
Let j(a) be the second derivative of -2*a + 0 - 1/8*a**2 + 1/12*a**3 - 1/48*a**4. Find m s