- 1/15*p**5 + 0 - 11*p**2 - 1/20*p**6. Factor h(l).
-2*l**2*(3*l + 2)
Factor 0*k + 8/3 - 2*k**2 - 2/3*k**3.
-2*(k - 1)*(k + 2)**2/3
Suppose 3 = 4*k - 2*z - 11, 0 = -3*k - 5*z - 9. Factor -45/2 - 10*r**k - 30*r.
-5*(2*r + 3)**2/2
Let i(b) = -9*b**2 + 147*b + 5041. Let t(v) = -2*v**2 + v. Let h(x) = i(x) - 5*t(x). What is d in h(d) = 0?
-71
Factor 0*n**4 - 5*n**2 + 0 + 15/2*n**3 - 5/2*n**5 + 0*n.
-5*n**2*(n - 1)**2*(n + 2)/2
Let l = 5 + -15. Let o = -6 - l. Find i, given that o*i**4 + 5 - 6*i**4 - 4*i**2 + 6*i**3 - 5 = 0.
0, 1, 2
Let o(g) be the third derivative of g**5/510 - g**4/102 - g**3/17 + 17*g**2 + 2*g. Factor o(i).
2*(i - 3)*(i + 1)/17
Let z(s) be the second derivative of -1/90*s**6 + 0 - 3/20*s**5 - 15*s + 0*s**2 + 25/18*s**3 - 5/12*s**4. Factor z(t).
-t*(t - 1)*(t + 5)**2/3
Factor -r**2 + 0*r**3 - 11*r**3 + 11*r + 14 - 23 + 0*r**2 + 10.
-(r - 1)*(r + 1)*(11*r + 1)
Let a(d) = d**4 + 120*d**3 + 252*d**2 + 11. Let h(k) = -40*k**3 - 84*k**2 - 4. Let r(l) = -4*a(l) - 11*h(l). Solve r(t) = 0 for t.
-7, -3, 0
Let j(n) be the second derivative of n**4/4 + 17*n**3/2 + 24*n**2 - n - 40. Factor j(v).
3*(v + 1)*(v + 16)
Let v(w) = w**3 + 14*w**2 + 12*w + 2. Let h be v(-13). Suppose 37 = h*o - 38. Solve 14/5*q**3 + 0*q - 4/5*q**4 - 14/5*q**o + 4/5*q**2 + 0 = 0 for q.
-1, -2/7, 0, 1
Let v(g) be the first derivative of -5/3*g**3 + 0*g**2 - 3*g**5 + 14 + 15/4*g**4 + 5/6*g**6 + 0*g. Factor v(h).
5*h**2*(h - 1)**3
Let c(r) be the third derivative of r**5/240 - r**4/16 - 7*r**3/24 + r**2 + 118. Factor c(s).
(s - 7)*(s + 1)/4
Let i(k) be the second derivative of -k**5/20 + k**4/3 + 2*k**3/3 + k**2/2 + 26*k. Let m be i(-1). Suppose 0*q - 2/3*q**m + 0 + 2/3*q**3 = 0. Calculate q.
0, 1
Let l be (101 + 0)*-3*2/6. Let f = 103 + l. Solve 0 + 0*y**f + 2/11*y**3 + 0*y = 0 for y.
0
Let b(h) be the first derivative of 10*h + 3 + 45/2*h**2 + 35/3*h**3. Factor b(p).
5*(p + 1)*(7*p + 2)
Solve -85*x + 150 + 154*x**2 - 53*x**2 - 96*x**2 = 0 for x.
2, 15
Let s(l) be the first derivative of 8*l**2 + 4/3*l**3 + 16*l + 6. Factor s(d).
4*(d + 2)**2
Let f = 1985 - 11909/6. Let z(b) be the second derivative of 1/5*b**5 + 0 + f*b**4 - 5/3*b**3 + 2*b**2 + 10*b. Factor z(g).
2*(g - 1)*(g + 2)*(2*g - 1)
Determine x so that 169 + 3*x**2 - 33*x + 5*x**2 - 139 - 5*x**2 = 0.
1, 10
Factor -1 + 188*x - 12 - 704*x**2 + 7 - 256*x**3 - 6.
-4*(x + 3)*(8*x - 1)**2
Let f(v) be the third derivative of -v**6/60 + v**4 - 16*v**3/3 + 99*v**2. Factor f(i).
-2*(i - 2)**2*(i + 4)
Solve 0*w**2 + 1/3 - 5/6*w + 5/3*w**3 - 5/3*w**4 + 1/2*w**5 = 0.
-2/3, 1
Suppose -44*c + 192 = 52*c. Let a(q) be the first derivative of 3/2*q - 7 + 1/6*q**3 - q**c. Factor a(y).
(y - 3)*(y - 1)/2
Let m = -35 + 38. Factor -51*j**3 + 28*j**3 + 27*j**m.
4*j**3
Let s(d) be the third derivative of d**6/300 + 4*d**5/75 + d**4/12 - 14*d**3/15 + 26*d**2 + 1. Determine z so that s(z) = 0.
-7, -2, 1
Let o(v) be the second derivative of v**5/5 + 2*v**4/3 - 40*v**3/3 + 48*v**2 + 4*v - 1. Suppose o(d) = 0. Calculate d.
-6, 2
Solve 81/2*f + 1/2*f**5 - 11/2*f**4 - 27/2 - 45*f**2 + 23*f**3 = 0.
1, 3
Let c(v) be the second derivative of -v**4/60 - v**3/5 + 8*v**2/5 - 89*v. Solve c(u) = 0.
-8, 2
Let c = 4 - 2. Let s be ((1/11)/(-28 - -25))/((-1)/12). Determine h, given that -2/11*h**4 + 10/11*h**c - s*h + 2/11*h**5 - 6/11*h**3 + 0 = 0.
-2, 0, 1
Suppose 18 + 5004*n**3 - 21*n + n**4 - 15*n**2 + 2*n**4 - n**4 - 4983*n**3 - 5*n**4 = 0. Calculate n.
-1, 1, 6
Let m = 1869/7472 - 1/7472. Factor -1/4*y - 1/4*y**2 + m + 1/4*y**3.
(y - 1)**2*(y + 1)/4
Let c(s) be the third derivative of 1/27*s**4 - 4/27*s**3 + 0 - 5*s**2 + 0*s - 1/270*s**5. Find t such that c(t) = 0.
2
Suppose -f + 7 = 4. Suppose -1 = f*p - 13. Factor 2*k**5 + 8*k**p + 0*k**3 - 6*k**4 - 2*k**3 - 2*k**2.
2*k**2*(k - 1)*(k + 1)**2
Let i(s) be the third derivative of 2*s**4 + 7/20*s**5 + 0*s - 20*s**2 + 6*s**3 + 1/40*s**6 + 0. Factor i(w).
3*(w + 2)**2*(w + 3)
Let u(c) = c**2 - 2*c. Suppose -4*x = -12, 5*g = -0*g + 5*x. Let d be u(g). Suppose -3*k - 2*k**3 - 9*k**2 - k**3 + 6*k**4 - 9*k**4 - 6*k**d = 0. Calculate k.
-1, 0
Let v be -3*(20/120)/((-2)/8). Factor 0 + 2/7*x - 2/7*x**v.
-2*x*(x - 1)/7
Let j = 46/11 + -392/99. Find w such that 2/9*w**4 - j*w + 0 + 2/3*w**2 - 2/3*w**3 = 0.
0, 1
Factor 5*n**2 + 6*n**2 + 2*n + 11 + 7 - 18.
n*(11*n + 2)
Let m(t) = t**3 - 3*t**2 - 2*t + 4. Let a be m(4). Let g be (9/a)/(2/8). Suppose 3*b**2 + 2*b**3 + 0*b**3 + b**g = 0. Calculate b.
-1, 0
Let g(p) be the second derivative of -p**5/30 + 7*p**4/18 - 16*p**3/9 + 4*p**2 - 2*p + 17. Find d, given that g(d) = 0.
2, 3
Let n(t) be the third derivative of -t**6/480 - 3*t**5/80 - 9*t**4/32 - 9*t**3/8 - 21*t**2 - 8. Solve n(x) = 0.
-3
Let w be (4 + (-36)/15)*(1885/(-26))/(-29). Find a, given that -1/2*a**2 + 5/6*a**3 - 1/6 - 5/6*a + 2/3*a**w = 0.
-1, -1/4, 1
Let r = 784/1419 - -46/129. Factor 2/11*t**2 + 2/11*t**3 - r*t + 6/11.
2*(t - 1)**2*(t + 3)/11
Suppose 4*v + 0*v + 10 = -2*r, 4*r = 5*v - 20. Determine l so that v*l + 0 + 2/3*l**2 = 0.
0
Let n = 48 + -43. Factor 5*l**2 + 2*l + 45 - 37*l + n*l.
5*(l - 3)**2
Factor -245395 + 45395 + 326*t - 2326*t + t**2 - 6*t**2.
-5*(t + 200)**2
Let w(g) be the second derivative of -g**6/720 - g**5/80 + g**4/12 + 25*g**3/6 + 6*g. Let p(l) be the second derivative of w(l). Find v, given that p(v) = 0.
-4, 1
Let v(t) be the second derivative of 3*t**5/20 + t**4/4 - 5*t**3/2 + 9*t**2/2 - t + 79. Find s such that v(s) = 0.
-3, 1
Let w = 517 + -10855/21. Let t(s) be the first derivative of -2/7*s**4 - 8/21*s**3 - 4/7*s + 6/7*s**2 + 1 + 12/35*s**5 - w*s**6. What is c in t(c) = 0?
-1, 1
Let l = -220455/4 - -55114. Let -1/4*h**2 + 1/2 - l*h**4 - 3/4*h**3 + 3/4*h = 0. What is h?
-2, -1, 1
Let n(x) be the second derivative of -x**7/3780 - x**6/540 - x**5/180 + x**4/12 - 10*x. Let z(m) be the third derivative of n(m). Suppose z(t) = 0. What is t?
-1
Let l = 1839 - 994. Factor -2*n**3 - l - 2*n**4 + 845.
-2*n**3*(n + 1)
Let m(q) = -3*q - 9. Let r(v) = 4*v + 8. Let f(c) = -3*m(c) - 2*r(c). Let n be f(-9). Factor -84*p**2 - 2*p + 139*p**3 - 27*p**4 - n*p - 49*p**3 + 28*p.
-3*p*(p - 2)*(3*p - 2)**2
Let z(x) = -x**2 - 3*x + 2. Let w be z(-3). Solve -3 - 10*q + 840*q**2 - 1 - 834*q**w = 0.
-1/3, 2
Suppose 3*m - 86 = -40*m. Factor 4/3*h**m + 0 - 2*h**5 + 0*h - 14/3*h**3 + 16/3*h**4.
-2*h**2*(h - 1)**2*(3*h - 2)/3
Let q be ((-1080)/51)/1*(-52)/39. Let p = q - 2816/119. Solve -4/7 + 6/7*c - 96/7*c**3 + p*c**4 + 62/7*c**2 = 0 for c.
-1/4, 1/4, 1, 2
Let n(f) be the third derivative of -f**8/168 - f**7/21 + 8*f**6/15 - 6*f**5/5 + f**2 + 15*f. Find j such that n(j) = 0.
-9, 0, 2
Let n be (-77)/(-2)*(7/49 + 1). Factor -242*b**2 - n*b - 1331/3*b**3 - 8/3.
-(11*b + 2)**3/3
Let r(a) be the second derivative of -a**4/28 - 66*a**3/7 - 6534*a**2/7 - 35*a + 4. Factor r(k).
-3*(k + 66)**2/7
Suppose -5*o - s = -2*s - 18, 0 = -4*o + 3*s + 10. Suppose 8*f**3 + 4*f**4 - 8*f + 23 - o*f**2 - 27 + 4*f**2 = 0. What is f?
-1, 1
Let z = -11045/6 - -1841. Let v(l) be the first derivative of z*l**2 + 2 - 1/3*l + 1/9*l**3 - 1/12*l**4. Factor v(w).
-(w - 1)**2*(w + 1)/3
Factor -11/3*v**2 - 8/3*v - v**3 + 4/3.
-(v + 2)**2*(3*v - 1)/3
Let f = 88 + -85. Solve -4*p**4 - 7*p**3 + 2*p**5 - 6*p**f + 15*p**3 = 0 for p.
0, 1
Let g be (8/(-6))/(1/3). Let v be (-84)/(-18) - g/(-6). What is d in v*d**3 + 9*d**2 - 5*d**2 - d**3 + d**3 + 12 - 20*d = 0?
-3, 1
Let m(h) be the second derivative of -4*h + 0 - 125/2*h**2 - 5/12*h**4 - 25/3*h**3. Suppose m(z) = 0. Calculate z.
-5
Let x be 4/(2 + 2)*-99. Let v be 88/x*3/24*-2. Suppose -2/3*z**2 + 0*z + v*z**3 + 0 = 0. What is z?
0, 3
Factor -3*y**4 - 30*y - 6*y**3 - 33*y**2 - 36*y**2 + 108 + 21*y - 21*y**3.
-3*(y - 1)*(y + 3)**2*(y + 4)
Let q(r) be the first derivative of 4*r**5/5 - r**4 - 28*r**3/3 + 26*r**2 - 24*r + 205. Factor q(c).
4*(c - 2)*(c - 1)**2*(c + 3)
Let u(c) = 2*c**2 - 8*c - 17. Let o be u(-6). Let y = -101 + o. Determine b so that -3/7*b - 1/7*b**y - 2/7 = 0.
-2, -1
Factor -1/4*p**2 + 125/2 + 249/4*p.
-(p - 250)*(p + 1)/4
Let u(t) be the first derivative of 1/40*t**6 + 0*t - 6 + 0*t**4 - t**2 + 0*t**3 - 1/10*t**5. Let k(w) be the second derivative of u(w). Factor k(y).
3*y**2*(y - 2)
Let y(z) be the second derivative of z**6/30 - 2*z**5/5 + 2*z**4 - 16*z**3/3 + 8*z**