 - 7*n - 5*n**2 + m*n**2 - 27.
-3*(n + 3)**2
Let y(a) = a**2 - 75*a + 70. Let o(t) = -t**2. Let d(b) = 4*o(b) - y(b). Solve d(n) = 0.
1, 14
Let t(r) = 5*r**3 + 6*r**2 - 27*r + 8. Let c(g) = 6*g**3 + 5*g**2 - 28*g + 7. Let n(o) = 4*c(o) - 5*t(o). Factor n(i).
-(i - 1)**2*(i + 12)
Let d(g) be the first derivative of g**5/30 - 11*g + 1. Let y(m) be the first derivative of d(m). Factor y(p).
2*p**3/3
Let u = -102 - -304. Factor u - g**2 + 4*g - 202.
-g*(g - 4)
Let d(b) = -6*b**2 + 64*b + 156. Let g(c) = c**2 + c - 6. Let s(w) = d(w) + g(w). Factor s(k).
-5*(k - 15)*(k + 2)
Let n(h) be the first derivative of 4*h**3/15 - 114*h**2/5 + 224*h/5 - 147. Factor n(j).
4*(j - 56)*(j - 1)/5
Let d(u) be the second derivative of u**6/90 + u**5/20 + u**4/36 - u**3/6 - u**2/3 - 9*u - 4. Factor d(s).
(s - 1)*(s + 1)**2*(s + 2)/3
Let i be (60/14)/((20/(-7))/(-20)). Factor 18 + 5*k**3 + 13/2*k**2 - i*k + 1/2*k**4.
(k - 1)**2*(k + 6)**2/2
Suppose 2*n = -2*b - 4, 0 = 5*b + 2*n - 40 + 35. Let h(v) be the first derivative of -3/4*v**4 + 0*v + 2*v**3 + b - 3/2*v**2. Factor h(s).
-3*s*(s - 1)**2
Let f(z) = -25 + 3*z**2 + 2*z + 14 - 2*z**2 + 12. Let h be f(-3). Find p, given that -p**2 + 11*p**2 + 2*p**3 + h*p**2 + 30*p + 18 = 0.
-3, -1
Let y(m) be the third derivative of m**5/240 + m**4/4 - 5*m**2 - 37. Factor y(d).
d*(d + 24)/4
Let z = 2 - 0. Let q = 6 - z. Find s, given that 3*s**3 - 3*s**2 + 2*s**4 - q*s - 2*s**4 + 3*s**4 + s = 0.
-1, 0, 1
Let u = -65 + 84. Suppose 10 = -14*i + u*i. Determine l so that -1/4*l**3 + 0*l**i + 0 + 1/4*l = 0.
-1, 0, 1
Solve -225*d + 55*d**2 + 32071 - 32185 + 3*d**3 - 163*d**2 = 0.
-1, 38
Determine y, given that 0*y**2 + 4/9*y**3 - 16/9*y**5 + 4/3*y**4 + 0*y + 0 = 0.
-1/4, 0, 1
Let j be -8 + 65/(-105)*-13. Let x(d) be the first derivative of -j*d**3 + 9 + 0*d**2 + 0*d + 1/28*d**4. Factor x(m).
m**2*(m - 1)/7
Factor 130/3*s - 5/3*s**2 + 45.
-5*(s - 27)*(s + 1)/3
Let n(s) = 12*s - 1462. Let a be n(122). Let -15*h + 5/2*h**a + 45/2 = 0. What is h?
3
Let k = -80/11 - -529/44. Factor -k*b - 21/2*b**2 - 1/2.
-(6*b + 1)*(7*b + 2)/4
Suppose 5*h + a - 49 = 0, 0 = -5*a + 4 + 16. Let d be ((-8)/(-6))/2 + (-44)/(-6). Solve d*p**2 + 4*p**4 - 13*p**2 + 8*p**3 + h*p**2 = 0.
-1, 0
Solve 10 + 233*r**2 - 4*r + 29*r - 103*r**2 + 5*r**3 - 110*r**2 = 0.
-2, -1
Let q(u) be the second derivative of -u**5/70 + 4*u**4/21 - 5*u**3/21 - 50*u**2/7 + 12*u - 9. Suppose q(x) = 0. What is x?
-2, 5
Let r(j) be the first derivative of j**6/6 + 4*j**5/5 + j**4/2 - 4*j**3/3 - 3*j**2/2 + 44. Factor r(c).
c*(c - 1)*(c + 1)**2*(c + 3)
Factor -10/3*l**2 + 6 + 2*l + 2/3*l**3.
2*(l - 3)**2*(l + 1)/3
Determine t so that -2 + 36*t**3 + 5*t**2 - 46*t**3 + 2 + 5*t = 0.
-1/2, 0, 1
Suppose -5*i**3 + 25/2*i + 7 - 11/2*i**2 = 0. Calculate i.
-2, -1/2, 7/5
Let x = -89 - -54. Let d be (-2)/(-8) - x/(-28). Let s(c) = 7*c**3 + 3*c**2 - 3*c + 7. Let u(o) = o**3 - o + 1. Let k(i) = d*s(i) + 6*u(i). Factor k(p).
-(p + 1)**3
Let t be (1 - 23)*7/14. Let u = 14 + t. Factor -3*r**3 + 9*r + 6*r**u + 0 - 9*r**2 - 3.
3*(r - 1)**3
Let q be 0 + 23 + 89/(-4). Factor -27/4*s**3 + 0*s - 3*s**2 - 9/2*s**4 - q*s**5 + 0.
-3*s**2*(s + 1)**2*(s + 4)/4
Factor -2*a**3 - 12*a**2 + 16 - 2*a + 7*a - 2*a**3 - 5*a.
-4*(a - 1)*(a + 2)**2
Suppose 5*f + 1 = 16. Let l be f/((-45)/21)*-5. Let 1 - l*h + 11*h - 4 - 4*h**2 + 3*h**2 = 0. Calculate h.
1, 3
Let q(i) = 40*i + 365. Let n be q(-9). Solve -16/7*v**2 + 4/7*v**4 + 2*v - 2/7*v**n + 4/7*v**3 - 4/7 = 0.
-2, 1
Let u = -625 + 628. Find g, given that -1/3*g**3 - 2*g**2 + 0 - u*g = 0.
-3, 0
Let y(t) be the first derivative of t**4/2 - 34*t**3/9 + 22*t**2/3 - 16*t/3 + 49. Factor y(n).
2*(n - 4)*(n - 1)*(3*n - 2)/3
Let d = -5 - -9. Let v(c) = -c**3 + c**2. Let o(u) = -u**4 - 6*u**3 + 4*u**2 + 2*u + 1. Let n be (-6)/(-4)*6/(-9). Let s(a) = d*v(a) + n*o(a). Factor s(p).
(p - 1)*(p + 1)**3
Let r = 433 + -427. Let g(x) be the third derivative of 1/660*x**r + 0*x**3 + 0 + 0*x**4 - 1/330*x**5 + 0*x - 3*x**2. Factor g(t).
2*t**2*(t - 1)/11
Let p(y) = -4*y + 22. Let n(k) = -k + 7. Let g(v) = -14*n(v) + 4*p(v). Let b be g(-6). Find o such that 0 + 1/2*o**b + 5/2*o**4 - 4*o**3 + o = 0.
-2/5, 0, 1
Suppose 4*y = 3*y + 8. Factor -y*j**2 + 4*j - 3*j**3 + 5*j**2 + j**3 + j**2.
-2*j*(j - 1)*(j + 2)
Let p(t) be the second derivative of t**7/17640 - t**6/2520 - 5*t**4/12 - 9*t. Let l(o) be the third derivative of p(o). Factor l(y).
y*(y - 2)/7
Let s = -10396 + 176738/17. Factor s*r**2 + 4/17 + 2/17*r**3 - 10/17*r - 2/17*r**4.
-2*(r - 1)**3*(r + 2)/17
Let s(l) be the third derivative of l**7/945 + 11*l**6/540 + 19*l**5/135 + 13*l**4/27 + 8*l**3/9 + 137*l**2. Determine h, given that s(h) = 0.
-6, -2, -1
Suppose 3*o - 15 = 15. Let t be ((-4)/10)/((-2)/o). Let -3*n**t + 0 - 7 + 7 - 3*n**3 = 0. What is n?
-1, 0
Suppose -3076*a + 2987*a + 267 = 0. Suppose 1/2*g**4 + 1/2*g + 1/2 - g**2 + 1/2*g**5 - g**a = 0. Calculate g.
-1, 1
Let p = 68 + -57. Let m(j) = -9*j + 101. Let d be m(p). Factor 0*i + 1/9*i**d + 0.
i**2/9
Let m(b) be the third derivative of -b**6/1200 + b**5/30 - 3*b**4/20 - b**2 + 100. Factor m(c).
-c*(c - 18)*(c - 2)/10
Let n(q) be the first derivative of -q**6/2 + 84*q**5/5 - 399*q**4/4 - 866*q**3 - 1824*q**2 - 1536*q + 257. What is k in n(k) = 0?
-2, -1, 16
Let k(b) be the third derivative of 0 + 0*b**4 - 1/180*b**6 + 0*b**5 + 0*b + b**3 - 2*b**2 - 1/840*b**7. Let m(o) be the first derivative of k(o). Factor m(q).
-q**2*(q + 2)
Let o(y) = -y**5 - y**4. Let u(n) = -5*n**5 - 7*n**4 - 27*n**3 + 81*n**2 - 54*n. Let k(g) = -30*o(g) + 5*u(g). Factor k(d).
5*d*(d - 3)**2*(d - 1)*(d + 6)
Let h(o) be the first derivative of 0*o**2 - 5 + 1/12*o**3 - 1/4*o. Solve h(d) = 0 for d.
-1, 1
Let m(j) be the second derivative of -j**7/3780 - j**6/1080 + 13*j**4/12 - 30*j. Let f(h) be the third derivative of m(h). What is c in f(c) = 0?
-1, 0
Solve -313*i**2 + 81*i**3 + 112*i**2 - 784*i - 471*i**2 - 4*i**4 - 17*i**3 + 44*i**3 = 0.
-1, 0, 14
Let f(o) = o**3 - o**2 - o + 1. Let g(y) = -4*y**3 + 6*y**2 - 10. Let u(x) = 6*f(x) + g(x). Factor u(b).
2*(b - 2)*(b + 1)**2
Let f = 1285 - 1278. Let z(g) be the first derivative of -1/3*g**3 - 7/8*g**2 - 3/4*g + f. Determine h, given that z(h) = 0.
-1, -3/4
Let r(o) = o**2 + o - 1. Let x(d) = 4*d**3 + 2*d**2 + 2*d - 2. Let a be (3 - 6) + 1/2*4. Let v(q) = a*x(q) + 2*r(q). What is u in v(u) = 0?
0
Let z(i) be the second derivative of 0 + 27*i + 0*i**3 + 1/35*i**5 + 0*i**2 + 2/21*i**4. Factor z(v).
4*v**2*(v + 2)/7
Let n(y) = 18*y**5 - 180*y**4 + 110*y**3 - 12*y**2 - 6. Let v(c) = -c**4 + c**2 - 1. Let d(a) = 2*n(a) - 12*v(a). Factor d(h).
4*h**2*(h - 9)*(3*h - 1)**2
Factor -13*y**3 + y**3 + 19*y**2 - 2*y**2 + 0*y**2 - y**2 - 24 + 68*y.
-4*(y - 3)*(y + 2)*(3*y - 1)
Let v(y) = 13*y**2 + 120*y + 891. Let w(f) = -6*f**2 - 60*f - 446. Let h(n) = -4*v(n) - 9*w(n). Factor h(c).
2*(c + 15)**2
Let a(f) = 2*f**4 + 27*f**3 + 129*f**2 + 101*f + 3. Let u(y) = -2*y**4 - 28*y**3 - 128*y**2 - 100*y - 2. Let o(j) = 4*a(j) + 6*u(j). Factor o(l).
-4*l*(l + 1)*(l + 7)**2
Let f(d) be the first derivative of 0*d**2 + 2/7*d**3 - 20 - 15/28*d**4 + 12/35*d**5 + 0*d - 1/14*d**6. Let f(p) = 0. What is p?
0, 1, 2
Let q(z) be the first derivative of -5*z**6/12 + 5*z**5/2 + 5*z**4/4 - 35*z**3 + 315*z**2/4 - 135*z/2 - 179. Suppose q(n) = 0. What is n?
-3, 1, 3
Let k(j) be the second derivative of -j**5/70 + j**4/42 + j**3/21 - j**2/7 - j - 83. Suppose k(y) = 0. What is y?
-1, 1
Let g(w) be the first derivative of -w**8/6720 - w**7/3360 + w**6/480 + w**5/480 - w**4/48 + 8*w**3 + 47. Let l(p) be the third derivative of g(p). Factor l(a).
-(a - 1)**2*(a + 1)*(a + 2)/4
Find n such that -174*n + 14*n**4 - 2/3*n**5 + 54 + 596/3*n**2 - 92*n**3 = 0.
1, 9
Suppose -1139*d = -1131*d. Factor -4/5*i**2 + d - 4/5*i.
-4*i*(i + 1)/5
Let y(b) be the third derivative of -b**6/420 - 3*b**5/35 + 3*b**4/4 - 150*b**2. Factor y(w).
-2*w*(w - 3)*(w + 21)/7
Let j = -4065 + 8141/2. Factor 1/2 + 28*n**4 + 43/2*n**2 - 73/2*n**3 - j*n - 8*n**5.
-(n - 1)**3*(4*n - 1)**2/2
Suppose 3*h + 15 = 0, -5*h - 20 = -2*l + 3*l. Find t such that 8*t**4 + 10*t - 3*t**3 - 7*t**3 - 3*t**4 - l*t**2 = 0.
-1, 0, 1, 2
Let c(p) = p**2 + 37*p + 31. Let w(r) be the second derivative of -3*r**3 - 15*r**2/2 + 34*r. Let i(l) = -3*c(l) - 5*w(l). Facto