= -w**2 + 239*w - 666. Let q(l) = 39*h(l) + 6*v(l). Factor q(r).
-3*(r - 222)*(r - 3)
Factor -17/5*f**2 - 1/5*f**4 + 0 + 2*f**3 + 8/5*f.
-f*(f - 8)*(f - 1)**2/5
Let g(r) be the first derivative of r**6/18 - 2*r**5/5 + 13*r**4/12 - 4*r**3/3 + 2*r**2/3 - 365. Determine f, given that g(f) = 0.
0, 1, 2
Suppose -92*a = 22101 - 22377. Solve 231/2*v + 1/2*v**5 + 12*v**a + 27 - 22/3*v**4 + 325/3*v**2 = 0 for v.
-2, -1, -1/3, 9
Let w = -1176205 - -1176853. Factor 16*v**2 - 4/3*v**3 - w + 36*v.
-4*(v - 9)**2*(v + 6)/3
Factor 2/7*i**3 - 1124/7*i**2 + 2242/7*i - 160.
2*(i - 560)*(i - 1)**2/7
Let z = 13410 + -40226/3. Let x(y) be the first derivative of 22 - 4*y**2 - 12*y + z*y**3. Factor x(i).
4*(i - 3)*(i + 1)
Let v(n) be the first derivative of 7*n**5/30 - 4*n**4/3 + n**3/2 + 8*n**2/3 - 8*n/3 + 3567. Find s, given that v(s) = 0.
-1, 4/7, 1, 4
Let d(b) be the third derivative of b**5/60 - 53*b**4/12 + 2525*b**2. Factor d(m).
m*(m - 106)
Let b(h) = -h**5 + 37*h**4 + h**3 - 30*h**2 - 7*h + 7. Let g(q) = q**5 - 12*q**4 - q**3 + 10*q**2 + 2*q - 2. Let i(c) = 2*b(c) + 7*g(c). Factor i(y).
5*y**2*(y - 2)*(y - 1)*(y + 1)
Find p, given that -2048/7 + 3712/7*p - 1682/7*p**2 = 0.
32/29
Suppose 4*o + p - 21 = 0, -2*p - 3 = -9*o + 8*o. Let 4*t**2 + 16*t - 5*t - o*t + 6*t = 0. Calculate t.
-3, 0
Let c(u) = 912*u**2 - 28*u + 29. Let r be c(1). Let k = r - 910. Suppose 0*s**2 - 1/8*s**4 + 0*s + 0 - 1/8*s**k = 0. What is s?
-1, 0
Let a = 133/18 + 46/9. Suppose -3*u + 8 = 2*l, -86*u + 2 = -87*u + 4*l. Factor 15 - 5/2*d**u - a*d.
-5*(d - 1)*(d + 6)/2
Let g(k) be the third derivative of k**6/600 - 11*k**5/100 + 3*k**4 - 216*k**3/5 + 377*k**2. Factor g(d).
(d - 12)**2*(d - 9)/5
Let q(v) be the second derivative of v**5/70 - 1101*v**4/14 + 909701*v**3/7 - 2725801*v**2/7 + 7294*v. Suppose q(z) = 0. What is z?
1, 1651
Let m(w) = w**3 - 2*w**2 + w + 2. Let x(o) = 8*o**3 - 16*o**2 - 24*o + 12. Let t(i) = 6*m(i) - x(i). Factor t(c).
-2*c*(c - 5)*(c + 3)
Let v(s) be the second derivative of -s**7/1260 + 11*s**6/180 + 145*s**4/12 - 22*s. Let q(d) be the third derivative of v(d). Factor q(n).
-2*n*(n - 22)
Let w(h) = 2*h**2 + 2264*h - 16. Let y(q) = -4*q - 8. Let m(s) = w(s) - 2*y(s). Factor m(t).
2*t*(t + 1136)
Suppose 983*f**3 - 2349*f**3 + 940*f**3 - 75*f**4 - 3*f**5 - 299 - 208 + 429*f + 582*f**2 = 0. Calculate f.
-13, -1, 1
Factor 254/3*k + 200 - 31/3*k**2 - 4/3*k**3.
-(k + 2)*(k + 12)*(4*k - 25)/3
Find b such that -496/13 + 38*b + 2/13*b**2 = 0.
-248, 1
Let s(p) be the second derivative of 0*p**2 - 13/5*p**4 + 93/100*p**5 + 0 + 6/5*p**3 - 5/14*p**7 - 59*p + 7/5*p**6. Let s(t) = 0. Calculate t.
-1, 0, 2/5, 3
Let g be (-588)/(-48) + -13 - (-11)/4. Let p be (g/(-2) + 10)*(-16)/(-48). Factor -20/9*s**p - 32/9*s**2 + 0 - 4/9*s**4 - 16/9*s.
-4*s*(s + 1)*(s + 2)**2/9
Let l(v) be the third derivative of -1/840*v**8 - 1/50*v**5 + 0*v**3 + v**2 - 1/525*v**7 + 1/60*v**6 + 0*v**4 + 0 + 45*v. What is t in l(t) = 0?
-3, 0, 1
Suppose -x = 8*x - 162. What is t in x*t - 100 - 36*t**2 - 5*t**4 - 4*t**4 + 97 + 30*t**3 = 0?
1/3, 1
Factor 92*j + 0 + 1/2*j**2.
j*(j + 184)/2
Let k(u) = 5*u**2 - 7*u - 4. Let d be 2*6/(-24)*6. Let j(f) = -f**2 + f + 1. Let o(t) = d*k(t) - 12*j(t). What is a in o(a) = 0?
0, 3
Let o(n) be the first derivative of -n**6/33 + 26*n**5/55 - 27*n**4/11 + 124*n**3/33 + 5*n**2 - 150*n/11 + 1949. Solve o(i) = 0 for i.
-1, 1, 3, 5
Let f(w) be the first derivative of 2*w**7/21 - 4*w**6/3 + 24*w**5/5 - 22*w**4/3 + 14*w**3/3 + 66*w + 82. Let y(q) be the first derivative of f(q). Factor y(c).
4*c*(c - 7)*(c - 1)**3
Suppose -2*q = -39 - 41. Suppose -6*u + q = 10. Let h(l) = -4*l**2 - 25*l - 29. Let d(z) = z + 1. Let x(p) = u*d(p) + h(p). Find v such that x(v) = 0.
-3, -2
Let g(v) be the second derivative of -v**7/2 - 191*v**6/30 - 519*v**5/20 - 119*v**4/4 + 20*v**3/3 + 24*v**2 + 19*v - 11. Determine u, given that g(u) = 0.
-4, -1, -3/7, 1/3
Find g such that 640*g**2 + 0 + 768*g - 80/3*g**4 + 4/3*g**5 + 208/3*g**3 = 0.
-2, 0, 12
Let d(k) be the first derivative of -k**6/6 - 5*k**5 - 167*k**4/4 - 119*k**3/3 + 84*k**2 + 144*k - 900. Determine o, given that d(o) = 0.
-12, -1, 1
Let o(g) = g**3 + 7*g**2 - 2*g - 21. Let m be o(-4). Let y(a) be the first derivative of -2/3*a**3 + 1/2*a + 3/4*a**2 - m. Factor y(j).
-(j - 1)*(4*j + 1)/2
Let s(l) = -152*l - 3037. Let b be s(-20). Let g(j) be the first derivative of -3 - 1/14*j**2 + 0*j + 1/21*j**b. Factor g(z).
z*(z - 1)/7
Factor 0 + 16/3*m + 159414*m**4 + 2680/3*m**2 + 118012/3*m**3.
2*m*(9*m + 2)*(163*m + 2)**2/3
Let c(h) be the second derivative of h**5/12 + 5*h**4/2 + 61*h**2/2 + 159*h. Let r(l) be the first derivative of c(l). Factor r(g).
5*g*(g + 12)
Let m = 11 - 5. Let h be (-4 + 21/m)*-4. Solve -6*x**4 - 79*x**4 + 78*x**3 - 25*x**h - 5*x + 28*x**5 - 2 + 7*x**3 + 4 = 0.
-1/4, 2/7, 1
Suppose -4*l - 3 = -3*l. Let k(p) = 2*p**3 + 8*p**2 + 7*p + 7. Let u be k(l). Factor -43*q + 55*q + 0*q**2 - 5 - 3 - u*q**2.
-4*(q - 2)*(q - 1)
Let h(b) be the first derivative of 243*b**5/5 - 216*b**4 - 1184*b**3 + 3840*b**2 + 19200*b + 3547. Factor h(u).
3*(u - 4)**2*(9*u + 20)**2
Let b(w) = -w**3 - 93*w**2 - 1649*w + 486. Let i be b(-69). Factor -2/3*z**2 - 2/3*z**5 - 2*z**i + 0*z + 0 - 2*z**4.
-2*z**2*(z + 1)**3/3
Let v be -12 + 2805/132 + -9. Solve 0*s**2 + 0 + 0*s - v*s**5 + 3/4*s**4 - 1/2*s**3 = 0.
0, 1, 2
Let l(r) be the second derivative of -r**6/240 - 77*r**5/160 + 13*r**4/16 + r + 907. Let l(g) = 0. Calculate g.
-78, 0, 1
Find t such that 1894*t**2 - 17899*t - 6*t**3 - 108804*t - 6394*t - 49928 - 16055*t = 0.
-1/3, 158
Let r(u) be the first derivative of u**6/90 + 8*u**5/15 + 32*u**4/3 - 2*u**3/3 + 40*u + 17. Let v(o) be the third derivative of r(o). Factor v(i).
4*(i + 8)**2
Let x(s) be the third derivative of s**5/690 + 49*s**4/276 + 60*s**3/23 + 7*s**2 - 27*s. Factor x(t).
2*(t + 4)*(t + 45)/23
Let v(w) be the first derivative of 1/21*w**4 - 3/70*w**5 + 1/21*w**3 + 49 + 0*w**2 + 47*w. Let u(x) be the first derivative of v(x). Factor u(b).
-2*b*(b - 1)*(3*b + 1)/7
Let z be ((20/(-15))/(-2))/(1/3). Suppose -15 + 5*i**4 - 57*i**2 + 126*i**2 + 25*i - 59*i**z + 5*i**5 - 30*i**3 = 0. What is i?
-3, -1, 1
Let z(d) be the second derivative of d**10/120960 - d**9/60480 - d**8/13440 + 25*d**4/6 + d**3/3 + 141*d. Let a(o) be the third derivative of z(o). Factor a(c).
c**3*(c - 2)*(c + 1)/4
Let f(q) be the second derivative of -7*q**6/15 - 563*q**5/50 + 183*q**4/10 + 83*q**3/15 - 34*q**2/5 + 281*q - 6. What is u in f(u) = 0?
-17, -2/7, 1/5, 1
Suppose x + b - 8 = 0, 8 + 4 = 5*x - 2*b. Factor 100*h**4 - 5*h**3 + h**3 - 104*h**x + 8*h**2.
-4*h**2*(h - 1)*(h + 2)
Let u be 4/14*(2 - (-262)/4) + 7444 + -7453. Suppose -15*v**2 - 30/7*v**3 - 150/7*v - u - 3/7*v**4 = 0. Calculate v.
-4, -3, -2, -1
Let d(c) be the first derivative of -3*c**4/4 - 793*c**3 - 236412*c**2 - 470448*c + 87. Factor d(a).
-3*(a + 1)*(a + 396)**2
Solve 0 + 2/15*c**2 + 172/15*c = 0 for c.
-86, 0
Let g(y) be the second derivative of 1944*y**6/95 + 139482*y**5/95 - 7767*y**4/19 + 2591*y**3/57 - 48*y**2/19 - 1251*y. Factor g(x).
2*(x + 48)*(18*x - 1)**3/19
Suppose -4*p - 6*p + 30 = 0. Suppose 75 = 5*f + v, -2*f - 5*v - p = -33. Factor 20 - 23 + f*h - 5*h**2 + 53.
-5*(h - 5)*(h + 2)
Let z(n) = -7*n - 24 + 1 + 13. Let x be z(-2). Factor 0 - 215*f - 4 - x*f**2 + 223*f.
-4*(f - 1)**2
Let n(o) = 10*o - 6. Let m be n(4). What is k in 41*k**2 + 54*k - 37*k**2 - m*k = 0?
-5, 0
Let l(s) be the first derivative of -s**6/8 + 9*s**5/5 - 63*s**4/16 - 49*s**3/2 - 4845. What is q in l(q) = 0?
-2, 0, 7
Let q(c) be the first derivative of 35/2*c**2 + 0*c + 44 + 5/3*c**3. Find k such that q(k) = 0.
-7, 0
Let g(x) = 4*x**5 + 3*x**4 - 23*x**3 + 16*x**2 + 7*x + 21. Let q(w) = 6*w**5 + 5*w**4 - 35*w**3 + 24*w**2 + 11*w + 33. Let p(f) = 11*g(f) - 7*q(f). Factor p(n).
2*n**2*(n - 2)*(n - 1)*(n + 2)
Let x(l) be the second derivative of -11*l**4/6 - 13*l**3/3 + 11*l + 2. Let u(q) = -8*q**2 - 9*q. Let p(o) = 8*u(o) - 3*x(o). Factor p(i).
2*i*(i + 3)
Let k be (56/4 - 4) + -1 + 185/(-37). Let x be 17/51 + (-1 - -2). Solve 0 + 1/3*p**2 - x*p**3 - 1/3*p**k + 4/3*p = 0 for p.
-4, -1, 0, 1
Let f(u) be the third derivative of -u**6/30 - 62*u**5/15 - 235*u**4/6 - 116*u**3 + 15*u**2 - u + 39. Factor f(w).
-4*(w + 1)*(w + 3)*(