 - -2). Determine t, given that -6/5*t**3 - p*t**4 + 0 + 6/5*t + 3/5*t**2 = 0.
-2, -1, 0, 1
Let t(k) = 3*k**2 - 4*k + 2. Let s be t(2). Let f(d) = -d**2 + 7*d - 3. Let p be f(s). Factor p*b**3 + b**2 - b**3 + b**2.
2*b**2*(b + 1)
Let s(r) be the second derivative of -6*r + 0*r**2 + 1/15*r**4 - 2/15*r**3 + 0 - 1/100*r**5. Factor s(d).
-d*(d - 2)**2/5
Let g(d) be the second derivative of d**4/28 + 2*d**3/7 + 10*d. Factor g(w).
3*w*(w + 4)/7
Suppose -3*u = -12*u. What is w in 3/2*w**4 + u*w - 1/2*w**5 + 0 + 1/2*w**2 - 3/2*w**3 = 0?
0, 1
Factor -32*z - 9*z**2 - 29*z**2 - 2*z**3 + 22*z**2.
-2*z*(z + 4)**2
Let r(n) be the first derivative of n**4/24 + n**3/24 - n**2/8 + 4*n + 6. Let w(q) be the first derivative of r(q). Factor w(j).
(j + 1)*(2*j - 1)/4
Let y(t) = -13*t + 7*t + 14 + 7*t. Let p be y(-12). Factor -1/5*q**3 + 0 + 0*q**p + 1/5*q.
-q*(q - 1)*(q + 1)/5
Let i(z) be the first derivative of -z**6/120 + z**5/60 + z**4/24 - z**3/6 - z**2 + 3. Let p(j) be the second derivative of i(j). Solve p(h) = 0.
-1, 1
Let n(j) be the first derivative of -j**4/12 - j**3/3 - j**2/3 - 9. Factor n(k).
-k*(k + 1)*(k + 2)/3
Let q(w) = w**2 + 3*w - 2. Let c be (-4)/(-6) + 50/6. Let u(d) = 0*d**2 - 13*d - 6*d**2 + d**2 + c. Let f(n) = -9*q(n) - 2*u(n). Find s, given that f(s) = 0.
0, 1
Let k(w) be the third derivative of w**6/40 - 3*w**4/8 - w**3 + 9*w**2. Factor k(o).
3*(o - 2)*(o + 1)**2
Let r(w) be the third derivative of -w**5/300 - w**4/24 - w**3/5 - 27*w**2. Factor r(i).
-(i + 2)*(i + 3)/5
Let s(i) = -6*i**2 + 12*i - 6. Let z(l) = -7*l**2 + 12*l - 5. Let n(a) = -4*s(a) + 3*z(a). Factor n(q).
3*(q - 3)*(q - 1)
Let w(m) be the second derivative of m**5/20 - m**4/2 + 11*m**3/6 - 3*m**2 - 20*m. Find t such that w(t) = 0.
1, 2, 3
Let j(p) be the second derivative of p**8/126 - p**7/45 + p**6/90 + p**5/90 - p**2 - p. Let q(b) be the first derivative of j(b). Factor q(w).
2*w**2*(w - 1)**2*(4*w + 1)/3
Find d, given that 3*d**3 + 35*d**2 + 40 + 221*d - 8*d**3 - 291*d = 0.
1, 2, 4
Let r(a) = -4*a**4 + 14*a**3 - 22*a**2 + 16*a - 6. Let t(d) = d**3 - d**2 + 1. Let z(k) = -r(k) - 2*t(k). Suppose z(p) = 0. What is p?
1
Let c(r) = 5*r - 18. Let n be c(4). Find s, given that 1/2*s**5 + 0*s - 1/2*s**4 - 1/2*s**3 + 0 + 1/2*s**n = 0.
-1, 0, 1
Let d(q) be the first derivative of -q**7/280 + 3*q**5/40 + q**4/4 - q**3 - 1. Let c(s) be the third derivative of d(s). Solve c(v) = 0.
-1, 2
Factor -6*u - 2/3*u**3 + 0 - 4*u**2.
-2*u*(u + 3)**2/3
Let y(a) be the third derivative of -1/70*a**7 - 6*a**2 + 0 - 1/10*a**6 + 0*a + 0*a**3 - 1/5*a**5 + 0*a**4. Suppose y(q) = 0. Calculate q.
-2, 0
Let r be 130/(-504) - 1*(-8)/28. Let k(m) be the third derivative of 0*m - 2*m**2 - r*m**4 + 0 + 1/270*m**5 + 2/27*m**3. Solve k(g) = 0 for g.
1, 2
Let h be ((-14)/120)/((-7)/(-14)*-1). Let u(l) be the third derivative of h*l**5 + 3*l**2 + 4/21*l**3 + 0*l + 0 - 1/3*l**4. Factor u(k).
2*(7*k - 2)**2/7
Let u = 1 - -1. Let b(h) be the second derivative of 1/3*h**3 + 3/4*h**4 + h + 0*h**u + 0 + 7/20*h**5. Find g, given that b(g) = 0.
-1, -2/7, 0
Let b be (-1)/(12/8 - 2). Factor 6*u + 2*u**2 + 2*u**b + 0*u**2 + 3 - u**2.
3*(u + 1)**2
Let s be (-6)/(-15) + (-24)/(-15). Let m = 2 + -2. Factor -q**3 - 1 + q - s*q**2 + 3 + m.
-(q - 1)*(q + 1)*(q + 2)
Let a = -397 + 4371/11. Find f, given that -8/11*f**3 - a + 2*f**2 - 10/11*f = 0.
-1/4, 1, 2
Let h(i) be the third derivative of -i**5/10 + 5*i**4/8 + 3*i**3/2 + 12*i**2. Solve h(p) = 0 for p.
-1/2, 3
Determine w, given that 8/3*w**2 + 28/3*w**4 - 12*w**3 + 0*w + 0 = 0.
0, 2/7, 1
Let g(d) be the third derivative of d**7/105 - d**6/60 - 2*d**5/15 + d**4/3 - 30*d**2. Factor g(r).
2*r*(r - 2)*(r - 1)*(r + 2)
Suppose -10 = 2*d - 4*d. Factor -6*w**3 - 4*w**2 + d*w**3 + 2*w**2.
-w**2*(w + 2)
Factor 3/5*i**2 + 6/5*i**3 + 0*i + 0.
3*i**2*(2*i + 1)/5
Let v(j) be the third derivative of j**8/336 - j**7/210 - j**6/40 + j**5/12 - j**4/12 + 4*j**2. What is k in v(k) = 0?
-2, 0, 1
Let n(g) be the first derivative of -g**4/3 - 2*g**3/3 + 4*g + 5. Let z(l) be the first derivative of n(l). Factor z(q).
-4*q*(q + 1)
Suppose 13/9*s**2 + 4/3*s + 4/9 + 2/3*s**3 + 1/9*s**4 = 0. Calculate s.
-2, -1
Let y(o) be the second derivative of -o**9/37800 - o**8/5600 + o**4/4 - 2*o. Let m(i) be the third derivative of y(i). Factor m(q).
-2*q**3*(q + 3)/5
Factor 0 - t + t**3 + 1/2*t**2 - 1/2*t**4.
-t*(t - 2)*(t - 1)*(t + 1)/2
Let r = -8 - -14. Let p(c) be the third derivative of 1/120*c**r - 1/24*c**4 + 1/6*c**3 + 0*c - 1/60*c**5 - c**2 + 0. Let p(w) = 0. What is w?
-1, 1
Let q be 200/(-336) + 2/(-5) - -1. Let y(g) be the third derivative of -1/21*g**3 - q*g**5 + 0*g + 1/42*g**4 + 0 - 3*g**2. Factor y(o).
-2*(o - 1)**2/7
Suppose -2*z + 3*m = 67, -5*z - 167 = m + 26. Let w = z - -42. Solve -2*i**5 - 4/5*i + 14/5*i**3 - 6/5*i**w + 0 + 6/5*i**2 = 0.
-1, 0, 2/5, 1
Let v = 11 + -7. Let w(y) = y - 2. Let p be w(v). Determine i, given that -3*i + 0*i**2 + 3*i**3 + i**4 + 4*i + 3*i**p = 0.
-1, 0
Let m be 14/49 + 33/7. Find x such that 0*x**5 + 3*x**3 - x + 3*x**3 + 3*x**m - 8*x**4 = 0.
-1/3, 0, 1
Let o be 4/3 - (-1419)/(-180). Let g = 27/4 + o. Factor 2/5*x + g*x**2 + 0.
x*(x + 2)/5
Let p(r) = 8*r**2 + r + 1. Let q be p(-1). Suppose -4*b + 0*b = 4*j + q, -3*b + 2*j = -14. Factor 2*o - b - 1/2*o**2.
-(o - 2)**2/2
Let k(w) = -140*w**3 + 156*w**2 + 8*w - 12. Let q(f) = 140*f**3 - 156*f**2 - 10*f + 11. Let i(b) = 5*k(b) + 4*q(b). Suppose i(m) = 0. Calculate m.
-2/7, 2/5, 1
Solve 8 + 3*t - 2*t**2 - 15*t + 2*t**2 + 4*t**2 = 0 for t.
1, 2
Let d(k) be the third derivative of 0 - 1/96*k**4 + 0*k - 1/480*k**6 - 1/120*k**5 + 0*k**3 + 4*k**2. Find z such that d(z) = 0.
-1, 0
Suppose 2*w = 3 + 1. Determine a, given that a + 3*a**2 - 4*a**w - a = 0.
0
Factor 0*q**2 - 6/7 - 3/7*q**3 + 9/7*q.
-3*(q - 1)**2*(q + 2)/7
Suppose -10 - 10 = -4*l. Let t(k) be the third derivative of -1/120*k**6 + 1/210*k**7 - 3*k**2 + 0 + 0*k**3 - 1/60*k**l + 1/24*k**4 + 0*k. Solve t(o) = 0 for o.
-1, 0, 1
Let i = 43/120 + -1/40. Factor -i*h**3 + 0*h - 1/3*h**2 + 0.
-h**2*(h + 1)/3
Let j(t) be the third derivative of t**6/15 + 3*t**5/10 + t**4/2 + t**3/3 + 8*t**2. Solve j(b) = 0 for b.
-1, -1/4
Let c = -213 - -215. Solve 0*t - 2/9*t**c + 2/9 = 0.
-1, 1
Find p, given that 69/2*p**3 + 18*p**4 + 39/2*p**2 + 0 + 3*p = 0.
-1, -2/3, -1/4, 0
Factor 2*l + 5 + 2*l**2 - 5*l + 3*l**2 - 7*l.
5*(l - 1)**2
Let c = 181 - 179. Let r(b) be the first derivative of -2/7*b**c + 0*b - 3 + 2/21*b**3. Let r(v) = 0. What is v?
0, 2
Let x(m) = m - 11. Suppose 4*o + 0*o = 44. Let a be x(o). Factor 0 + a*p + 1/2*p**2.
p**2/2
Let c(y) be the first derivative of 0*y**3 - 2*y + 1 + y**4 - 2*y**2 + 2/5*y**5. Factor c(x).
2*(x - 1)*(x + 1)**3
Let u(g) be the third derivative of -g**5/60 - g**4/24 + g**2. Suppose 3*j = -7 + 1. Let k(r) = 2*r**2 + r - 1. Let o(f) = j*k(f) - 3*u(f). Factor o(t).
-(t - 2)*(t + 1)
Let q(x) be the first derivative of 1/3*x + 1/3*x**2 - 4 + 1/9*x**3. Let q(l) = 0. What is l?
-1
Let d(f) be the second derivative of -f**4/12 - f**3/6 + 4*f. Let b(x) = -5*x**2 - 2*x + 3. Let r(s) = b(s) - 2*d(s). Find g such that r(g) = 0.
-1, 1
Let u(b) = b**3 + 3*b**2 - 3*b + 6. Let d be u(-4). Let m(v) be the first derivative of 0*v - d + 2/9*v**3 - 1/3*v**2. Let m(c) = 0. What is c?
0, 1
Suppose -30*q + 50 + 6*q**2 - 2/5*q**3 = 0. Calculate q.
5
Let o(y) be the first derivative of 0*y**3 + 0*y - 1/14*y**4 + 1/7*y**2 - 3. Let o(v) = 0. What is v?
-1, 0, 1
Factor 2*a**2 + 0*a**2 - 1 + 0*a**3 + a - a**2 - a**3.
-(a - 1)**2*(a + 1)
Let b be 3 + 2/(-4)*2. Factor 3*d - 2*d**3 - 2 + 0*d - b + 3*d.
-2*(d - 1)**2*(d + 2)
Let -9/5*a**2 - 3*a + 6/5 = 0. Calculate a.
-2, 1/3
Let a(r) be the first derivative of 2*r**3/27 + r**2/9 + 8. Suppose a(v) = 0. What is v?
-1, 0
Suppose 2*y + 2*y + 2*o = 0, y - 4*o = 0. Suppose -3*x + 9 = y, 5*x - 5 = 5*r - 0*r. Factor -6*l**3 + 2*l**2 - l**2 + 2*l**r + 3*l**4.
3*l**2*(l - 1)**2
Determine d so that 2/3*d - 1/3*d**2 + 0 = 0.
0, 2
Let h(i) = 9*i**2 - 4*i - 16. Let c(o) = -8*o**2 + 3*o + 17. Let v(w) = -4*c(w) - 3*h(w). What is f in v(f) = 0?
-2, 2
Suppose -4*i - 3*i = -i. Solve 2/9*j + 2/9*j**5 + i - 4/9*j**3 + 0*j**4 + 0*j**2 = 0.
-1, 0, 1
Find w such that 0 + w + 3/2*w**2 - 5/2*w**3 = 0.
-2/5, 0, 1
Let x = 191/15 - 62/5. Let b(h) b