7*d - 7. Let k(l) = -2*l**3 + 4*l**2 + 6*l - 6. Let s(m) = -7*k(m) + 6*w(m). Factor s(o).
2*o**2*(o + 1)
Let d(g) be the third derivative of g**7/1995 + g**6/380 + g**5/570 - g**4/76 - 2*g**3/57 + 3*g**2. Find b, given that d(b) = 0.
-2, -1, 1
Determine v, given that 32*v + 100 - 15*v**2 - 36 + 24*v**2 - 5*v**2 = 0.
-4
Suppose 0 = 4*p - 3*b - 2*b + 61, 5*b - 43 = 2*p. Let f be (6/p)/2*-6. Find l, given that 4*l**f + l**2 - 4*l**2 - l = 0.
0, 1
Let y be (-3 - 51/(-18))*-4. Factor -2*t**2 + y*t**3 + 2*t - 2/3.
2*(t - 1)**3/3
Let g be 1 + (1 - 0) + 2. Let s(q) = 3*q - g - 6*q - q**2 - 2*q**2. Let x(d) = -8*d**2 - 8*d - 11. Let z(k) = 11*s(k) - 4*x(k). Factor z(t).
-t*(t + 1)
Let f(z) = z + 5. Let k be f(4). Suppose -k - 1 = -5*q. Factor -14/5*i**q - 18/5*i - 4/5.
-2*(i + 1)*(7*i + 2)/5
Let z be (-15)/(-12) + 6/(-12). Let c(s) be the first derivative of 9/2*s**2 + 0*s**3 - 2 - 6*s - z*s**4. Find u such that c(u) = 0.
-2, 1
Let t(l) be the second derivative of -2*l**6/75 - l**5/25 + l**4/5 + 2*l**3/15 - 4*l**2/5 - 4*l. What is r in t(r) = 0?
-2, -1, 1
Let g = -3284/5 - -658. Suppose 4/5*q + g - 2/5*q**2 = 0. What is q?
-1, 3
Suppose 1 - 3 = v. Let m be v*(6/(-4) + -1). Find q, given that -6/11*q**4 + 2/11*q**m + 2/11 + 4/11*q**2 + 4/11*q**3 - 6/11*q = 0.
-1, 1
Let p(h) be the first derivative of -h**3/15 + h/5 - 6. Determine k so that p(k) = 0.
-1, 1
Let w(v) be the first derivative of v**3/18 - 2*v/3 - 2. Find c such that w(c) = 0.
-2, 2
Let v(q) be the first derivative of -2*q**4/5 - 2*q**3/5 + 9*q**2/5 - 4*q/5 - 2. Suppose v(h) = 0. Calculate h.
-2, 1/4, 1
Let o(v) = -3*v - 4. Let k be o(-4). Suppose 3*m = -m + k. Factor -2*f**2 + f**2 + m*f**2.
f**2
Let v(f) be the second derivative of f**6/420 - f**5/210 + f**2/2 + 2*f. Let m(s) be the first derivative of v(s). Find g, given that m(g) = 0.
0, 1
Let a(x) = -8*x**3 + 20*x**2 - 48*x + 28. Let p(b) = -9*b**3 + 19*b**2 - 48*b + 27. Let g(k) = 5*a(k) - 4*p(k). Find n such that g(n) = 0.
2
Suppose 0*g = -5*g + 15, 5*x = -5*g + 25. Suppose 3*f - 14 = -2*q - 2, 0 = 4*f - 2*q - x. Determine i, given that i**2 + i**4 - 2*i**f + i**3 - 2*i + i = 0.
-1, 0, 1
Let y(v) be the third derivative of 0 + 0*v**3 + 1/90*v**5 + 0*v + v**2 + 0*v**4. Factor y(f).
2*f**2/3
Solve 2/5*d**3 + 0 + 0*d**2 - 2/5*d = 0.
-1, 0, 1
Let n be 0*(9/(-6) - -2). Suppose 3 + n = 3*r. Suppose -30*t**2 - 128*t**4 + 26*t - 1 - r + 224*t**3 - 90*t**2 = 0. What is t?
1/4, 1
Suppose 0*a + 3/5*a**5 + 9/5*a**4 + 6/5*a**3 + 0 + 0*a**2 = 0. What is a?
-2, -1, 0
Factor -z**3 + 0*z**3 + 32*z + 3*z**3 - 6 - 2*z**2 - 42*z.
2*(z - 3)*(z + 1)**2
Let m(k) be the first derivative of -k**5/25 + k**4/20 + k**3/5 - k**2/10 - 2*k/5 - 11. Let m(o) = 0. Calculate o.
-1, 1, 2
Let g(s) be the second derivative of 2*s**7/21 - 2*s**6/15 - s**5 + s**4/3 + 16*s**3/3 + 8*s**2 + 45*s. Factor g(d).
4*(d - 2)**2*(d + 1)**3
Let u(k) be the first derivative of -k**7/2520 + k**5/120 + k**4/36 + 8*k**3/3 + 5. Let i(h) be the third derivative of u(h). Factor i(y).
-(y - 2)*(y + 1)**2/3
Suppose -4*u + v = u - 2, 4*u - 8 = 4*v. Factor n**4 - n**4 + 2*n**4 - 2*n**2 + u*n - 2*n**3 + 2*n.
2*n*(n - 1)**2*(n + 1)
Let x be (-3)/((-360)/(-476)) + (3 - -1). Let m(o) be the second derivative of x*o**4 + 2*o + 0*o**2 - 2/15*o**3 + 0. Factor m(p).
2*p*(p - 2)/5
Suppose 3*b - 7 = 5. Suppose -b*q + 16 = 4. Factor -1/5*d**5 + 0*d**q + 0*d**2 - 1/5*d**4 + 0*d + 0.
-d**4*(d + 1)/5
Let t be 0 - (4/2 - 5). Suppose -3*j + 3 = 3*x, j + 0*j + 5*x - 5 = 0. Factor 1/2*q**t + 0*q**2 + j*q + 0.
q**3/2
Let r(i) be the first derivative of i**5/120 - i**4/48 - i**3/6 - i**2 - 7. Let b(o) be the second derivative of r(o). Suppose b(f) = 0. Calculate f.
-1, 2
Let k(h) = -h**4 - 2*h**3 + h**2 - 6*h. Let f(u) = -u**4 - u**3 + u**2 - 5*u. Let m(a) = -4*f(a) + 3*k(a). Suppose m(z) = 0. What is z?
-1, 0, 1, 2
Let k(p) = -12*p**5 + 4*p**4 + 2*p**2 + 2. Let x(c) = -c**5 + c**2 + 1. Let o be (-1)/(-1 + (0 - -2)). Let v(l) = o*k(l) + 2*x(l). What is a in v(a) = 0?
0, 2/5
Factor 4/3*v**3 - 2/3*v**4 + 0*v - 2*v**5 + 0 + 0*v**2.
-2*v**3*(v + 1)*(3*v - 2)/3
Suppose 5*z - 2 = 18. Let 3*r**z - 3*r**3 + 4*r**2 - 6*r**4 + r**4 + r**3 = 0. Calculate r.
-2, 0, 1
Let u(r) be the second derivative of -r**4/36 - r**3/9 - 12*r. Factor u(z).
-z*(z + 2)/3
Let h(n) be the third derivative of 3*n**2 + 1/120*n**5 + 0*n**4 + 0*n + 0*n**3 + 1/160*n**6 + 0. Factor h(a).
a**2*(3*a + 2)/4
Let x = 145/288 - 9/32. Suppose x*v**2 + 2/9*v + 0 = 0. Calculate v.
-1, 0
Let n = -315/2 - -158. Find m, given that n*m - 1/4 - 1/4*m**2 = 0.
1
Let u = -7 - -9. Let p be 1/(4/14)*u. Factor -p*x**4 + 3*x**3 + x**4 - x**5 + 4*x**5.
3*x**3*(x - 1)**2
Let d(r) be the second derivative of -3/10*r**5 + 0*r**2 + 0 + 0*r**3 + 2*r - 1/5*r**6 - 1/6*r**4 - 1/21*r**7. What is i in d(i) = 0?
-1, 0
Let g = 9/34 - -4/17. Factor 0 - g*d**2 + 0*d - 1/2*d**3.
-d**2*(d + 1)/2
Let z be 6/4*(-70)/21. Let y be (1/2)/(z/(-20)). Factor 0 - 1/6*w**3 + 0*w - 1/6*w**5 - 1/3*w**4 + 0*w**y.
-w**3*(w + 1)**2/6
Let m(k) be the first derivative of 5*k**6/4 - 5*k**5 + 5*k**4/2 + 20*k**3/3 + 54. Factor m(x).
5*x**2*(x - 2)**2*(3*x + 2)/2
Suppose -25*k - 40 = -27*k. Let b be ((-368)/k)/(-4) - 4. Let b*i - 1/5*i**3 + 0*i**2 - 2/5 = 0. Calculate i.
-2, 1
Suppose 0 = 3*u + 3 - 9. Factor 0*p - 2*p**3 - 2*p - 5*p**u + p**2 + 0*p**2.
-2*p*(p + 1)**2
Let n = -72 - -77. Let f(x) be the third derivative of -1/54*x**4 + 0*x + 0 - 1/270*x**n - 1/27*x**3 + 3*x**2. What is w in f(w) = 0?
-1
Let c(k) be the first derivative of k**5/180 + k**4/72 + k**2/2 + 2. Let n(m) be the second derivative of c(m). Factor n(x).
x*(x + 1)/3
Let l be 22/12 + 1/6. Let p(c) be the second derivative of 1/27*c**4 - l*c + 0 + 1/90*c**5 + 0*c**2 + 1/27*c**3. Let p(i) = 0. What is i?
-1, 0
Find q, given that 3*q**2 + q**2 - 3*q**2 + 2*q - 4*q**3 - 3*q**2 = 0.
-1, 0, 1/2
Let s(w) be the first derivative of -w**7/70 - w**6/60 + w**5/60 - w**2/2 - 3. Let y(z) be the second derivative of s(z). Factor y(g).
-g**2*(g + 1)*(3*g - 1)
Let o(h) = -7*h**4 - 20*h**3 - 25*h**2 - 8*h - 2. Let l(q) = q**4 - q + 1. Let y(i) = -2*l(i) - o(i). Factor y(k).
5*k*(k + 1)**2*(k + 2)
Suppose 5*x + 9 = -6. Let f be 1/5*x*-5. Solve -2/3*v**f + 0 - 2/3*v**2 - 2/9*v - 2/9*v**4 = 0.
-1, 0
Let b be (-2)/((-2)/2) + -5. Let p be (-3 - 10/b)*9. Factor -1/4*w**p + 1/4*w**2 - 1/4*w**4 + 1/4*w + 0.
-w*(w - 1)*(w + 1)**2/4
Let q = -9 + 29. Suppose v - 2 - 3 = -3*d, -q = d - 4*v. Factor 0*a - 2/3*a**2 + d.
-2*a**2/3
Let d(h) = h**3 - 2*h**2 - h + 11. Let b(n) = -6*n**3 + 12*n**2 + 7*n - 65. Let m(l) = 6*b(l) + 34*d(l). Determine f, given that m(f) = 0.
-2, 2
Let b(v) = -2*v**3 + 12*v**2 + 6*v - 2. Let q(n) = -n**3 - n - 1. Let f(a) = -b(a) + 6*q(a). Let f(c) = 0. Calculate c.
-1
Let q = 1078/465 - 14/31. Let j(g) be the first derivative of 2/5*g**4 + 7/15*g**6 - q*g**3 - 4 + 32/25*g**5 - 11/5*g**2 - 4/5*g. Suppose j(f) = 0. Calculate f.
-1, -2/7, 1
Determine j, given that -1/5*j**3 - 6/5*j - 7/5*j**2 + 0 = 0.
-6, -1, 0
Let j(d) be the first derivative of d**7/2940 + d**6/630 + 2*d**3 + 5. Let n(s) be the third derivative of j(s). Factor n(t).
2*t**2*(t + 2)/7
Let d be 2/(-18)*6/(-32). Let y(z) be the second derivative of 0*z**2 - d*z**4 + 2*z - 1/24*z**3 + 0. Determine k so that y(k) = 0.
-1, 0
Let r(v) = v**3 - 8*v**2 + 8*v - 8. Let h be r(7). Let k be (22/(-10) - -2)/h. Find s such that k*s + 1/5*s**2 + 0 = 0.
-1, 0
Factor -35*k**2 - 4 - k**5 - 7*k**3 + 8*k + 5*k**4 - 29*k**2 + 63*k**2.
-(k - 2)**2*(k - 1)**2*(k + 1)
Let k(t) be the first derivative of -t**5/25 + t**4/10 - t**3/15 - 9. Solve k(q) = 0.
0, 1
Let l be -6 - (-44)/4 - 3. What is p in 3/2*p**l - 3/2 + 0*p = 0?
-1, 1
Let v = 937/6 - 455/3. Solve 0 + v*j + 1/2*j**3 + 3*j**2 = 0.
-3, 0
Let n(k) be the second derivative of k**2 + 2/5*k**5 - 7/6*k**4 + 2/3*k**3 + 0 + 3*k. Determine h so that n(h) = 0.
-1/4, 1
Let t(y) be the first derivative of -3*y**5/5 + 3*y**4/2 - y**3 + 5. Factor t(p).
-3*p**2*(p - 1)**2
Let l(d) be the first derivative of d**6/33 - 6*d**5/55 + d**4/22 + 2*d**3/11 - 2*d**2/11 - 7. Find h, given that l(h) = 0.
-1, 0, 1, 2
Let y(c) = 26*c**2 - 8*c - 37. Let q(j) = 9*j**2 - 3*j - 12. Let n(r) = -17*q(r) + 6*y(r). Factor n(z).
3*(z - 2)*(z + 3)
Let -4*n + 12*n**2 - 7 - 4*n**2 + 