- 37*m**6/6 - 17*m**5/4 + 725*m**4/12 + 140*m**3 + 90*m**2 - 215*m. What is q in d(q) = 0?
-3, -1, -2/7, 2
Let y be (10/10)/((-1)/(-5)). Let g be (-24)/15*y/(-2). Factor 26*p**3 - 3*p**4 + 1 - 22*p**3 + 2*p**2 + 0*p**4 - g*p.
-(p - 1)**2*(p + 1)*(3*p - 1)
Factor 0*h - 5/2*h**5 + 15/2*h**3 + 0*h**4 + 0 - 5*h**2.
-5*h**2*(h - 1)**2*(h + 2)/2
Suppose 0 = -s + 5, -t - t - s = -9. Let x be t/7 + (19/7 - -1). Let -6*v**x + 28/5*v**2 + 2/5 + 14/5*v - 18/5*v**5 + 4/5*v**3 = 0. Calculate v.
-1, -1/3, 1
Let v(a) be the first derivative of -1/40*a**5 - 1/24*a**3 + 1/16*a**4 + 10 + 0*a**2 + 0*a. Factor v(d).
-d**2*(d - 1)**2/8
Let z(v) be the second derivative of -v**8/2688 - v**7/1680 + v**6/960 + v**5/480 + 5*v**2 + 14*v. Let h(u) be the first derivative of z(u). Factor h(q).
-q**2*(q - 1)*(q + 1)**2/8
Suppose -b = -m - 0 + 3, 0 = m + b - 1. Factor 3*q + m*q**3 + 6*q + q - 12*q.
2*q*(q - 1)*(q + 1)
Let b(m) be the first derivative of -3*m**3 - 33*m**2/2 + 12*m + 59. Factor b(x).
-3*(x + 4)*(3*x - 1)
Factor -58*a**2 + 30*a**3 - 75*a + 34*a + 2 + 67*a.
2*(a - 1)**2*(15*a + 1)
Factor 14/5*o**4 + 8*o**2 - 16/5*o - 2/5*o**5 + 0 - 36/5*o**3.
-2*o*(o - 2)**3*(o - 1)/5
Let p = 7 - 13. Let a(j) = -18*j**2 - 4*j + 13*j**2 - 5*j**2 - 7. Let s(z) = -9*z**2 - 3*z - 6. Let f(r) = p*a(r) + 7*s(r). Factor f(b).
-3*b*(b - 1)
Solve -26/7*d - 12/7 + 2/7*d**3 + 2/7*d**4 - 2*d**2 = 0.
-2, -1, 3
Let a be (-7 - -4) + (-4)/(-2) - 0. Let u be (-3 + 4)*a - 72/(-20). Factor 4/5 + 12/5*q + u*q**2 + 6/5*q**3 + 1/5*q**4.
(q + 1)**2*(q + 2)**2/5
Let r(u) = u**2 + u - 40. Let o be r(6). Factor -1/3*q**o + q + 1/3 - q**3.
-(q - 1)*(q + 1)*(3*q + 1)/3
Let v(t) be the first derivative of t**2 + 0*t - 13/3*t**3 - 11/6*t**6 - 9 + 13/5*t**5 + 9/4*t**4. Determine k, given that v(k) = 0.
-1, 0, 2/11, 1
Suppose 4*s + 626 = -l + 3*l, -3*l + 947 = -4*s. Factor -161*o + 365*o**2 + l*o + 20 + 59*o**3 + 166*o**3.
5*(o + 1)*(5*o + 2)*(9*o + 2)
Let m(j) be the third derivative of 5/84*j**4 + 0*j + 2*j**2 + 2/7*j**3 + 1/210*j**5 + 0. Suppose m(b) = 0. Calculate b.
-3, -2
Suppose 16 = 3*f - 2*p, -f = -0*f + 3*p + 13. Let 57*y**f - 27*y**5 + 24 - 45*y**4 - 24*y + 51*y**3 - 12 - 14 - 10 = 0. Calculate y.
-2, -1, -1/3, 2/3, 1
Let q(l) be the second derivative of 0*l**2 + 0*l**3 + 0*l**4 + l + 0 + 1/30*l**5 - 1/45*l**6. Factor q(u).
-2*u**3*(u - 1)/3
Let c(b) = -4*b**4 - 10*b**3 - 8*b**2 + 24*b. Let k(j) = 13*j**4 + 29*j**3 + 23*j**2 - 72*j. Let i(l) = 14*c(l) + 4*k(l). Factor i(p).
-4*p*(p - 1)*(p + 3)*(p + 4)
Let r(n) = -6*n**4 - 7*n**3 - 6*n**2 - 5*n. Let q(y) = -5*y + 2*y - 5*y**4 - 6*y**3 - 5*y**2 - y. Let k(w) = -5*q(w) + 4*r(w). Factor k(t).
t**2*(t + 1)**2
Let u = -128 + 132. Let f be (19/38*u/(-2))/(-2). Determine q, given that -1/2*q**2 + f*q**5 + 3/2*q**3 - 3/2*q**4 + 0 + 0*q = 0.
0, 1
Let w = 1317/1612 + -27/403. Let 1/4*d**2 - w*d + 0 = 0. What is d?
0, 3
Let b(s) be the first derivative of 4*s**7/735 - s**6/84 - s**5/105 + s**4/28 + 2*s**2 + 26. Let d(u) be the second derivative of b(u). Factor d(h).
2*h*(h - 1)**2*(4*h + 3)/7
Suppose 33*p**4 - 323*p**2 - 4*p**5 + 155*p - 40 + 3*p**3 + 62*p**3 + 35*p**3 + 21*p + 58*p = 0. Calculate p.
-4, 1/4, 1, 10
Let y(s) = -s**2 + 2*s - 17. Let o(t) = t**2 + 16. Suppose 3 = -u, 3*g + g - u + 17 = 0. Let d(c) = g*o(c) - 4*y(c). Factor d(x).
-(x + 2)*(x + 6)
Let x be 75/10*8/30. Let k(q) be the first derivative of -1/12*q**3 - 1/2*q - 3/8*q**x - 8. Let k(a) = 0. Calculate a.
-2, -1
Suppose 5*q = 60 - 50. Let u(a) be the first derivative of a**2 + q*a + 2 + 1/6*a**3. What is v in u(v) = 0?
-2
Let u(q) be the first derivative of 9 - 12*q - 3/4*q**4 - 2*q**3 + 21/2*q**2. Find w, given that u(w) = 0.
-4, 1
Let j(v) = -3*v**2 - 11*v - 8. Suppose -4*b = -4*d - b - 7, -4*d - 4*b = -28. Let f(g) = 48*g**2 + 177*g + 129. Let z(a) = d*f(a) + 33*j(a). Factor z(k).
-3*(k + 1)*(k + 2)
Let y(d) be the second derivative of -d**8/10080 + d**7/1260 - d**6/540 + 11*d**4/12 - 2*d. Let b(n) be the third derivative of y(n). Find x such that b(x) = 0.
0, 1, 2
Let y(g) = 2*g**3 - 6*g**2 + 2*g - 2. Let u(j) = -j**4 - j**3 + j - 1. Let l be 1/(-1) - (-25)/(-25). Let c(t) = l*u(t) + y(t). Factor c(h).
2*h**2*(h - 1)*(h + 3)
Determine n so that -24 + 3/2*n**2 + 45/2*n = 0.
-16, 1
Determine f so that -7*f**4 - 3/2*f**3 - 14*f + 0 + 22*f**2 + 1/2*f**5 = 0.
-2, 0, 1, 14
Let b(o) = 10*o + 1. Let s(w) = -w - 2. Let n(v) = b(v) + 3*s(v). Let y be n(1). What is r in 4*r - 44/3*r**y + 12*r**4 + 8/3 - 4*r**3 = 0?
-1, -1/3, 2/3, 1
Let d(z) be the first derivative of 2*z**5/45 + 17*z**4/9 + 80*z**3/3 + 96*z**2 - 768*z - 148. Find q, given that d(q) = 0.
-12, 2
Suppose -27*v - 10*v = 16*v. Let k(g) be the third derivative of -1/90*g**6 + 0*g**3 + 3*g**2 + 1/90*g**5 + 0 + v*g + 0*g**4. Suppose k(d) = 0. Calculate d.
0, 1/2
Let u = 2041/30 + -68. Let i(p) be the third derivative of -1/12*p**5 + 0 + 0*p + u*p**6 + 0*p**3 + 1/24*p**4 + 6*p**2. Factor i(s).
s*(s - 1)*(4*s - 1)
Let k be 10/(-8)*1106/(-10). Let z = 139 - k. Factor -1/4*q**2 - z*q - 1/2.
-(q + 1)*(q + 2)/4
Suppose -k = 5*m - 7, -k - 3*m + 5 = -0*m. Factor 7*c**k + 9*c**2 + 8*c - 12*c**2 - 4*c**3.
-4*c*(c - 2)*(c + 1)
Factor 3/2*g**2 + 0 + 9/2*g.
3*g*(g + 3)/2
Let f(a) be the second derivative of -1/72*a**4 + 0 + 1/12*a**2 + 20*a - 1/9*a**3 + 1/30*a**5. Suppose f(y) = 0. What is y?
-1, 1/4, 1
Let i = -18 - -33. Let t = 19 - i. Solve -3 - 1 + t - 2 + z**2 + z = 0 for z.
-2, 1
Let h be ((-8)/4 + -2)/(-2). Factor 3*j**3 - 3*j + 4207*j**h - 4207*j**2.
3*j*(j - 1)*(j + 1)
Let m(l) be the second derivative of l**4/4 + 41*l**3 + 5043*l**2/2 + 159*l. Suppose m(n) = 0. Calculate n.
-41
Let s be 27/15 - (-8)/40. Factor 396*l + 17*l**2 - 101*l**s - 23 + 5*l**3 - l**3 + 507.
4*(l - 11)**2*(l + 1)
Let c(f) = 2*f**2 + 2*f. Let t(i) = 3*i**2 + 3*i. Let z(g) = -7*c(g) + 4*t(g). Suppose z(n) = 0. What is n?
-1, 0
Let m be (654/12 + -3)/(0 + -6). Let k = 28/3 + m. Find s such that 1/4*s + 1/2 - 1/4*s**3 - k*s**2 + 1/4*s**4 = 0.
-1, 1, 2
Let a = 28 + -25. Suppose 5*d = 5*h - 10, d = -9*h + 4*h - 2. Factor h + 1/3*f**4 + 1/3*f + f**a + f**2.
f*(f + 1)**3/3
Let u(i) be the third derivative of i**5/600 + 2*i**4/15 + 64*i**3/15 - 295*i**2. Suppose u(f) = 0. What is f?
-16
Suppose 3*h = 249 + 279. Let o be (-2*(-12)/h)/(3/4). Factor 6/11 - 2/11*z + o*z**3 - 6/11*z**2.
2*(z - 3)*(z - 1)*(z + 1)/11
Let m(k) = k**2 + k - 4. Let s(b) = -3*b**2 - 3*b + 9. Let y(l) = 9*l**3 + l + 1. Let j be y(-1). Let p(x) = j*m(x) - 4*s(x). Factor p(g).
3*g*(g + 1)
Suppose 8*v + 4 = 9*v. Solve -y + 4*y**2 + 3*y**3 + y**3 + 5*y - 8*y - 4*y**v = 0 for y.
-1, 0, 1
Let m(p) be the third derivative of p**5/80 - 9*p**4/16 - 5*p**3 - 23*p**2 - 7*p. Suppose m(o) = 0. Calculate o.
-2, 20
Factor -1/2*m**3 - 13/2*m**2 + 0*m + 0.
-m**2*(m + 13)/2
Suppose -5*i = -11*i + 210. Let a be ((-2)/14)/(-2 - (-55)/i). Let 1/6 - a*y - 2/3*y**3 - 7/6*y**2 = 0. What is y?
-1, 1/4
Let f be 2/2 + (-7)/(-14)*4. Suppose -18*s**2 + 4*s**2 - 8*s**3 + 7*s**f - 49*s = 0. What is s?
-7, 0
Let o(r) = -137*r**2 + 4*r + 1. Let i be o(-1). Let b = 141 + i. Factor c - 1/4*c**2 - b.
-(c - 2)**2/4
Let z = 97/435 - 2/87. Let r = 37/210 - -1/42. Solve r - 2/5*a**2 - z*a**5 - 1/5*a + 1/5*a**4 + 2/5*a**3 = 0 for a.
-1, 1
Let h(k) be the second derivative of -k**8/1680 - k**7/315 - k**6/180 - 11*k**4/6 - 2*k. Let g(c) be the third derivative of h(c). Find f, given that g(f) = 0.
-1, 0
Solve 17*l**5 + 32*l**2 - 8*l - 4*l**4 + 8*l**2 + 3 - 3*l**5 - 3 - 42*l**3 = 0.
-2, 0, 2/7, 1
Let j = -4049203/55 + 363743/5. Let r = j + 874. Factor -r + 2/11*v**2 + 0*v.
2*(v - 2)*(v + 2)/11
Suppose 92 = 107*d - 122. Factor 242/23 - 44/23*a + 2/23*a**d.
2*(a - 11)**2/23
Let z(x) be the first derivative of 3/5*x**5 + 0*x**2 + 1/4*x**4 - 10 - 1/6*x**6 - x**3 + 0*x. Let z(l) = 0. What is l?
-1, 0, 1, 3
Let t(d) = d - 8. Let a be t(9). Let k be a + -4 + 5 + 0. Find w, given that 5*w**2 + 0*w**3 - 3*w**2 - w**3 - w**k = 0.
0, 1
Factor 8 + 2*b**4 + 18*b**2 - 28*b**3 + 18*b**3 - 4 - 14*b.
2*(b - 2)*(b - 1)**3
Let u = 67/290 - 9/290. Factor 0*n + 0 - u*n**2 + 1/5*n**3.
n**2*(n - 1)/5
Let k(r) = r**2 + 3. Let h be k(0). Let i(a) be the first derivative of -4*a + h*a**3 + 3*a**2 - 4*a**3 + 4*a - 1. Let i(f) = 0. What is f?
0, 2
Suppose -2*h + 3*j + 