erivative of -q**5/330 + q**4/6 - 11*q**3/3 + 158*q**2. Factor b(m).
-2*(m - 11)**2/11
Suppose 9*o - 9 = 6*o. Determine d, given that -d**4 - 49 - d**2 - 2*d**o + 49 = 0.
-1, 0
Let h = 33 - 30. Factor -2*z**2 - 3*z**h + 7*z**3 - 2*z**4 + 6*z**4 - 6*z**2.
4*z**2*(z - 1)*(z + 2)
Let s be 15 + (8 - (-60)/(-3)). Find g, given that 0 - 6/5*g + 3/5*g**2 + 3/5*g**s = 0.
-2, 0, 1
Factor -12/11*z**2 - 10/11 + 2*z.
-2*(z - 1)*(6*z - 5)/11
Let x(h) be the third derivative of -h**5/120 - h**4/24 + 2*h**3/3 + 120*h**2. Factor x(y).
-(y - 2)*(y + 4)/2
Let j be 1 - (0/1)/(-5). Let o be (200/48 + -4)/(j/2). Factor t**4 + t - 1/3*t**5 - o - 2/3*t**3 - 2/3*t**2.
-(t - 1)**4*(t + 1)/3
Let w(x) = 4*x - 17. Let s be w(1). Let g be (2/4)/((520/(-16))/s). Factor 0*z**2 + 0 + g*z**3 - 1/5*z.
z*(z - 1)*(z + 1)/5
Suppose -3*o = -r + 15, 4*r - 5*o = 41 - 9. Factor -339*k**4 + 3*k**r + k**2 + 3 + 338*k**4 - 3 - 3*k.
-k*(k - 3)*(k - 1)*(k + 1)
Let a(g) be the first derivative of 27*g**4/4 - 272*g**3 - 657*g**2/2 + 186*g - 270. Factor a(m).
3*(m - 31)*(m + 1)*(9*m - 2)
Let t(f) be the first derivative of 4*f**5 + 15*f**4/4 - 20*f**3 - 85*f**2/2 - 30*f + 164. Factor t(p).
5*(p - 2)*(p + 1)**2*(4*p + 3)
Let y(d) be the first derivative of 0*d**2 - 1/6*d**4 + 19/80*d**5 - 1/6*d**3 - d - 7/120*d**6 + 6. Let h(o) be the first derivative of y(o). Factor h(j).
-j*(j - 2)*(j - 1)*(7*j + 2)/4
Let u be 2694/5 + (-9)/(-45). Find i such that u - 544 - 5*i**2 - 8*i - 2*i = 0.
-1
Suppose 147 = 2*s - 561. Suppose 5*g = -2*q + s, 2*g + q + 3*q = 132. Factor -144*r**4 - 32*r**5 + 46*r**3 + 3*r - g*r**2 - 11*r - 194*r**3 - 46*r**3.
-2*r*(r + 2)**2*(4*r + 1)**2
Let m(z) be the first derivative of -5*z**3/6 + 113*z**2/4 + 23*z - 231. Factor m(g).
-(g - 23)*(5*g + 2)/2
Find s, given that -3/5*s**3 + 0*s**2 + 12/5*s + 0 = 0.
-2, 0, 2
Determine o so that -15*o**3 + 57*o + 3*o - 7 - 193 - 5*o**4 + 70*o**2 = 0.
-5, -2, 2
Find x, given that 2/7*x**3 - 2/7*x - 8/7*x**2 + 8/7 = 0.
-1, 1, 4
Suppose h - 3*v = -44, 4*h + 0*v + 146 = -3*v. Let n = 42 + h. Factor -1/3*c**n + 4/3 + 1/3*c**2 - 8/3*c + 5/3*c**3 - 1/3*c**5.
-(c - 1)**3*(c + 2)**2/3
Let 10/7*t**2 + 2/7*t**3 - 24/7 - 16/7*t = 0. Calculate t.
-6, -1, 2
Let n(l) be the second derivative of 0*l**2 - 7/6*l**3 + 1/1620*l**6 + 0 - 2*l + 1/27*l**4 - 1/135*l**5. Let m(f) be the second derivative of n(f). Factor m(j).
2*(j - 2)**2/9
Let h(a) be the second derivative of 1/30*a**6 + 1/6*a**5 - 5/36*a**4 - 10/9*a**3 - 35*a + 2*a**2 + 0. Determine d, given that h(d) = 0.
-3, -2, 2/3, 1
Solve 50/13*r**2 - 2/13*r**4 + 22/13*r**3 + 2*r + 0 = 0 for r.
-1, 0, 13
Let r(q) be the first derivative of -3/2*q + 1/4*q**3 - 3 - 3/8*q**2. Suppose r(m) = 0. What is m?
-1, 2
Suppose -2*a - 3*g = 27 - 5, -5*a + 2*g - 17 = 0. Let d be 2/6 - -6*a/90. Factor 2/17*q**2 - 4/17*q + d.
2*q*(q - 2)/17
Factor -11/9*q**2 + 86/9*q + 16/9.
-(q - 8)*(11*q + 2)/9
Let n = 6328 - 6326. Factor 0*m**n + 32/13 - 24/13*m + 2/13*m**3.
2*(m - 2)**2*(m + 4)/13
Factor 2/3*h - 4 + 2/3*h**2.
2*(h - 2)*(h + 3)/3
Let a = -370 + 222. Let i = a - -152. Factor 0*g**2 + 3/7*g**3 + 0*g + 12/7*g**i + 12/7*g**5 + 0.
3*g**3*(2*g + 1)**2/7
Let i(f) be the first derivative of 7*f**6/96 - 5*f**5/48 - 5*f**4/48 - 11*f**2 + 2. Let d(t) be the second derivative of i(t). Factor d(o).
5*o*(o - 1)*(7*o + 2)/4
Factor 34/7*m - 289/7 - 1/7*m**2.
-(m - 17)**2/7
Let m = 57 - 55. Suppose 0 = -m*s + 57 - 53. Factor 0 + 1/3*y**4 + 1/3*y**5 - 1/3*y**s - y**3 + 2/3*y.
y*(y - 1)**2*(y + 1)*(y + 2)/3
Let z(o) be the first derivative of o**6/540 - o**5/36 + 2*o**3/3 - 17. Let t(r) be the third derivative of z(r). Factor t(p).
2*p*(p - 5)/3
Let z = -13 + 16. Let -16*f**2 - 2*f**2 - 243*f - f**z - 9*f**2 + 0*f**3 - 729 = 0. Calculate f.
-9
Let y(v) be the third derivative of v**7/210 - v**6/60 - v**5/15 + v**4/3 + 2*v**2 - 359. Let y(f) = 0. What is f?
-2, 0, 2
Let t(w) = -w**2 - 17*w + 1. Let h = -16 - 1. Let u be t(h). Factor 0 + 1 + u - i - i**2.
-(i - 1)*(i + 2)
Solve -40*v + 33*v**3 - 63*v**3 + 5*v**4 - 50*v**2 + 25*v**3 = 0.
-2, -1, 0, 4
Let g(j) be the first derivative of -15/4*j**4 + 19 - 5/2*j**2 - j**5 - 5*j**3 + 0*j. Factor g(q).
-5*q*(q + 1)**3
Suppose 30/11*a**2 + 18/11*a**3 - 24/11 - 24/11*a = 0. Calculate a.
-2, -2/3, 1
Let i(z) = -3*z + 2*z + 0*z. Let p(a) = a**2 - 3*a + 25. Let o(w) = -14*i(w) - 2*p(w). Factor o(s).
-2*(s - 5)**2
Let p be 6/((-8)/4 + 2 + 2). Factor -10/9*v**5 + 0 + 0*v - 16/9*v**4 + 4/9*v**2 - 2/9*v**p.
-2*v**2*(v + 1)**2*(5*v - 2)/9
Let q(k) be the second derivative of 1/50*k**5 + 0 + 21*k + 0*k**3 - 1/6*k**4 + 0*k**2. Factor q(t).
2*t**2*(t - 5)/5
Solve -287*r**2 + 143*r**2 - 178*r**2 - 12 + 169*r**3 + 160*r - 237*r**2 = 0.
2/13, 3
Let w(i) be the second derivative of -4*i**7/357 - 4*i**6/255 + 3*i**5/170 + 2*i**4/51 + i**3/51 - 86*i. Let w(o) = 0. What is o?
-1, -1/2, 0, 1
Let s(z) be the third derivative of -z**8/1176 + 16*z**7/735 - 3*z**6/14 + 20*z**5/21 - 125*z**4/84 - 2*z**2 + 74*z. Let s(o) = 0. Calculate o.
0, 1, 5
Let d(n) be the second derivative of -n**6/240 - n**5/40 + 9*n**4/32 - 19*n**3/24 + n**2 - 504*n. Factor d(p).
-(p - 2)*(p - 1)**2*(p + 8)/8
Factor 2/25*q**3 + 1664/25*q - 6144/25 + 122/25*q**2.
2*(q - 3)*(q + 32)**2/25
Let o = 1932 - 9658/5. Factor -1/5*t + 3/5*t**2 - 1/5*t**4 - o + 1/5*t**3.
-(t - 2)*(t - 1)*(t + 1)**2/5
Find z, given that 1/2*z**3 - 1/2*z - 7*z**2 + 7 = 0.
-1, 1, 14
Let l(k) be the third derivative of -k**6/780 + k**5/195 - k**4/156 - 465*k**2. Let l(f) = 0. Calculate f.
0, 1
Let w be 1 - ((-45)/18)/((-21)/6). What is u in 0*u**3 - 6/7*u**4 + 8/7*u**2 + 0*u - w*u**5 + 0 = 0?
-2, 0, 1
Let i = -16 + 24. Suppose 8*n = 4*n + i. Let 6*c**n - 20*c**3 + 2*c**2 + 18*c - 8 + 8*c**3 - 6*c = 0. What is c?
-1, 2/3, 1
Let i(b) be the third derivative of -b**8/20160 - b**7/10080 + b**6/480 + b**5/4 - 27*b**2. Let u(s) be the third derivative of i(s). Solve u(k) = 0 for k.
-3/2, 1
Let u(q) = -15*q**2 - 10. Let d(m) = -m**2 - 1. Suppose -5*n = -0*n - 50. Let o(s) = n*d(s) - u(s). Determine k so that o(k) = 0.
0
Let x(s) = -3*s + 26. Let b be x(10). Let l be b/6 + 1*497/84. Let l*q**2 - 15/4*q - 3/2 = 0. Calculate q.
-2/7, 1
Let s(h) be the second derivative of h**8/60480 - h**7/5670 + h**6/2160 - 7*h**4/12 - 8*h. Let m(w) be the third derivative of s(w). Factor m(y).
y*(y - 3)*(y - 1)/9
Let n be -4*1/2 - -11. Let p(x) = -2*x + 20. Let o be p(n). Determine z so that -1/4*z**o - 1/2 - 3/4*z = 0.
-2, -1
Find t, given that -2/7*t**4 + 18/7*t**2 - 6/7*t**5 - 8/7 + 22/7*t**3 - 8/7*t = 0.
-1, 2/3, 2
Let g(h) be the third derivative of 4*h**2 - 1/24*h**6 + 1/21*h**7 - 5/336*h**8 + 0*h + 0*h**3 + 0 + 0*h**4 + 0*h**5. What is x in g(x) = 0?
0, 1
Let w be 15/20 + (-9)/108. Let r(v) be the first derivative of 0*v**2 + 3 + w*v**3 + 0*v - 1/2*v**4. Solve r(a) = 0.
0, 1
Let x(r) be the second derivative of r**5/10 + 7*r**4/3 + 13*r**3/3 + 469*r. Factor x(w).
2*w*(w + 1)*(w + 13)
Let d = 8 - 3. Let k(v) = 0*v**3 + v + 2*v**2 - 3*v**3 + d + 2*v**3. Let f(h) = -h**3 + 2*h**2 + h + 4. Let b(c) = -7*f(c) + 6*k(c). Let b(a) = 0. Calculate a.
-1, 1, 2
Let o = 13 - 11. Let k(f) = 28*f**3 - 46*f**2 - 44*f - 8. Let l(j) = -j**3. Let v = 9 + -23. Let i(y) = o*k(y) + v*l(y). Suppose i(t) = 0. Calculate t.
-2/5, -2/7, 2
Let w = -17 - -32. Let t be (5/w)/((-2)/(-12)). Factor -t*a**4 - 13*a**3 + 15*a**3 + 4*a**4.
2*a**3*(a + 1)
Factor 43/4*o - 1/4*o**5 + 7/4*o**4 + 19/2*o**3 + 11/4 + 31/2*o**2.
-(o - 11)*(o + 1)**4/4
Factor 297/4*k**2 - 22201/4 + 1/4*k**3 + 21903/4*k.
(k - 1)*(k + 149)**2/4
Suppose 86*m - 57 = 67*m. Let u(q) be the first derivative of -q**2 + 3*q + 1/9*q**m - 4. Factor u(n).
(n - 3)**2/3
Let m = -1/541 + 549/4328. Let v(n) be the third derivative of 0*n - 5*n**2 + 1/6*n**3 + 1/120*n**6 + 1/20*n**5 + m*n**4 + 0. Factor v(w).
(w + 1)**3
Let a be (78/9)/(-13) - 4582/(-5478). Let i = a - -1/83. Factor 0 + 0*u**2 - 2/11*u**5 - i*u**4 + 0*u**3 + 0*u.
-2*u**4*(u + 1)/11
Let o(g) be the third derivative of g**6/40 + g**5/3 + g**4/2 + 90*g**2. Factor o(b).
b*(b + 6)*(3*b + 2)
Let a(f) be the first derivative of -16*f**5/5 + 13*f**4 + 52*f**3/3 - 8*f**2 - 113. What is t in a(t) = 0?
-1, 0, 1/4, 4
Factor -16/3*d**2 - 16*d**4 + 0 - 20*d**3 + 16/3*d**5 + 0*d.
4*d**2*(d - 4)*(2*d + 1)**2/3
Let r