t a(l) be the second derivative of -l**4/48 + 8*l**3/3 - 30*l**2 - 542*l. Factor a(u).
-(u - 60)*(u - 4)/4
Let m be (-1387592)/(-152) + (-2)/(-19). Let -326*w + m + 4*w**2 - 194*w + 7771 = 0. What is w?
65
Suppose 0*t - 7*t = 7. Let d(z) = -z**5 + z**3 - z**2 - 1. Let i(a) = a**5 + 6*a**4 + 7*a**3 + a**2 - 1. Let w(r) = t*i(r) + d(r). Let w(f) = 0. What is f?
-1, 0
Let b be 72/120 - (-1 + 12/(-5)). Let q(s) be the first derivative of -s**2 - 12 - 2/7*s - 9/14*s**b - 10/7*s**3. Factor q(j).
-2*(j + 1)*(3*j + 1)**2/7
Suppose 46 - 134 = -4*g + 2*j, 0 = 4*g + 3*j - 68. Let q be 99/27 + 1/3. Factor g*d**q - 40*d + 7*d**2 - 22*d**2 + 60*d**3 + 0*d**4 + 15.
5*(d + 1)*(d + 3)*(2*d - 1)**2
Let b be 35/21*((-11)/110 + 1). Factor -b*u**2 + 1/2*u**3 + 2 + 0*u.
(u - 2)**2*(u + 1)/2
Let k be (1/(-7))/((-29)/((-261)/(-9))). Let q(z) be the first derivative of -8/21*z**3 - 2/7*z**2 + k*z**4 + 8/7*z + 21. Factor q(g).
4*(g - 2)*(g - 1)*(g + 1)/7
Let f(r) = -2*r**3 - 11*r**2 - 5*r. Let o be f(-5). Suppose -7*x + 652 + 3415 = o. Suppose -3*v**4 - x*v - 10*v**3 + 4*v**3 + 581*v = 0. What is v?
-2, 0
Factor -614*j + 164*j + 219*j - 237*j - 71*j**3 - 540*j**2 + j**4.
j*(j - 78)*(j + 1)*(j + 6)
Let f(l) = l**2 - 70*l + 77. Let v(y) = 15*y**2 - 1046*y + 1155. Let k(n) = -31*f(n) + 2*v(n). Factor k(o).
-(o - 77)*(o - 1)
Suppose r + 5 = 9. Suppose 0 = r*f - 27 + 3. Suppose -7*s**2 + 15 + 8*s**2 - 6*s**2 + f*s + 4*s = 0. Calculate s.
-1, 3
Let i(w) be the first derivative of -3/4*w**4 - 26 + 6*w**2 + 8*w + 3/20*w**5 + 0*w**3. Let j(l) be the first derivative of i(l). Solve j(o) = 0.
-1, 2
Let j(c) = 11*c**2 + 930*c + 3546. Let y be j(-4). Determine l so that 4/7 + 2*l**3 - 12/7*l**2 + 8/7*l**4 - y*l = 0.
-2, -1, 1/4, 1
Let i(j) be the second derivative of 49*j**5/80 - 1883*j**4/8 + 537*j**3/2 - 115*j**2 - 111*j + 2. What is h in i(h) = 0?
2/7, 230
Let k(d) = -454*d**3 + 2*d**4 + 455*d**3 + d**5 - 2*d**4 + 2. Let s(o) = 4*o**5 - o**3 - 2*o**2 + 3*o + 8. Let m(u) = -3*k(u) + s(u). Factor m(x).
(x - 2)*(x - 1)*(x + 1)**3
Let s be (1 - (-8)/(-14)) + (-4296)/1253. Let t be (2 - 1547/(-14))/(s + 6). Factor 30*i - 10 + 10*i**3 + t*i**2.
5*(i + 2)**2*(4*i - 1)/2
Let l = -9/343 + 613/10290. Let x(k) be the third derivative of 0 + 2/105*k**7 + 0*k**3 - 2/15*k**5 + 0*k + 0*k**4 - 6*k**2 - l*k**6. Factor x(q).
4*q**2*(q - 2)*(q + 1)
Factor 49/5*o - 28/5*o**2 + 78/5 + 1/5*o**3.
(o - 26)*(o - 3)*(o + 1)/5
Let b be 18/(-42) - (-7746)/42. Factor -b + 184 + 3*n - n + n**2.
n*(n + 2)
Let c(v) be the third derivative of -v**6/72 - 52*v**5/45 - 869*v**4/72 - 37*v**3 - 305*v**2 - v - 2. Factor c(t).
-(t + 1)*(t + 37)*(5*t + 18)/3
Solve -8 - 365*r**2 + 215*r**4 - 7*r**5 + 43 - 525*r**3 - 13*r**5 + 115 + 545*r = 0 for r.
-1, -1/4, 1, 5, 6
What is x in 1/5*x**2 - 36*x + 531/5 = 0?
3, 177
Let b(a) be the first derivative of a**7/4200 - a**6/450 + a**5/120 - a**4/60 + 2*a**3/3 - 3*a**2/2 - 6. Let v(s) be the third derivative of b(s). Factor v(p).
(p - 2)*(p - 1)**2/5
Let g(x) be the second derivative of x**6/30 - x**5/15 + 65*x**2/2 + 14*x. Let w(f) be the first derivative of g(f). Factor w(d).
4*d**2*(d - 1)
Suppose -85 = -5*z - 70. Let m(f) be the first derivative of -5 + 16*f**z - 4*f**3 + 34 - f**4. Factor m(q).
-4*q**2*(q - 9)
Find j, given that 1771*j + 2119 - 4168 + 2049 + j**2 = 0.
-1771, 0
Let j be 280/12 + (-6 - 80/(-12)). Suppose 21*n - j*n = 0. Find o such that 16/3*o**2 - 4/3*o**3 - 16/3*o + n = 0.
0, 2
Factor -289 + t**2 - 299 + 672 - 25*t.
(t - 21)*(t - 4)
Let l(m) be the second derivative of -m**6/45 + 77*m**5/30 - 59*m**4/3 - 48*m**3 + 2480*m. Determine h so that l(h) = 0.
-1, 0, 6, 72
Let a(w) = 8*w**4 + 122*w**3 + 265*w**2 - 1088*w + 3. Let d(p) = 55*p**4 + 855*p**3 + 1860*p**2 - 7620*p + 20. Let k(i) = -20*a(i) + 3*d(i). Factor k(q).
5*q*(q - 2)*(q + 5)*(q + 22)
Let z be 180/50 - (2 + 24/(-10)). Solve -10*f**3 - 491*f**z + 2*f**2 + 496*f**4 + 3*f**2 = 0 for f.
0, 1
Let o be 2 - (-7)/35 - (-1)/(-5). Let 1/4*k + 1/4*k**o + 0 = 0. Calculate k.
-1, 0
What is p in -36/7*p + 0 + 1/7*p**3 - 5/7*p**2 = 0?
-4, 0, 9
Let d be (10/(-66))/(20/(-25500)*17) + -7. Factor -32/11 - 18/11*n**2 - d*n - 2/11*n**3.
-2*(n + 1)*(n + 4)**2/11
Let y(v) be the first derivative of -4*v**5/5 + 3*v**4 + 60*v**3 - 350*v**2 - 1295. Factor y(j).
-4*j*(j - 5)**2*(j + 7)
Let t(g) = -g**3 - 7*g**2 - 18*g - 44. Let r be t(-6). Factor -r*b + 5 - 23*b**4 + 21*b**4 - 34*b**2 - 14*b**3 - 6*b - 17.
-2*(b + 1)**2*(b + 2)*(b + 3)
Let g(h) be the third derivative of 98*h**3 + 21*h**4 + 0*h - 27/20*h**5 + 1/40*h**6 + 0 - 33*h**2. Let g(f) = 0. Calculate f.
-1, 14
Let p(n) be the second derivative of n**7/280 - n**6/15 + n**5/8 + 25*n**4/4 - 28*n**3/3 + 77*n. Let m(l) be the second derivative of p(l). Factor m(z).
3*(z - 5)**2*(z + 2)
Let u be (-2 + 5)*(-8)/(-11748). Let r = u + 975/1958. Solve -r*p**2 + 3/2*p - 1 = 0.
1, 2
Suppose 3*u + 5*a = -u + 37, -2*a = 2*u - 16. Suppose -3*c - 5*r = -38, -u*c - 4*r + 0*r + 34 = 0. Factor -c*l - l - 13 + 21 - 5*l + 4*l**3.
4*(l - 1)**2*(l + 2)
Let p(a) be the third derivative of -a**5/60 - a**4/24 + 23*a**2. Let s(m) = -24*m**3 + 72*m**2 - 12*m - 18. Let w(l) = 9*p(l) + s(l). Factor w(z).
-3*(z - 2)*(z - 1)*(8*z + 3)
Let u = 372 + -285. Factor -63*l - 181*l**3 + 356*l**3 - 200*l**3 - 9*l**4 + u*l**2 + 10.
-(l - 1)**2*(l + 5)*(9*l - 2)
Let f = -3860849/5 + 772171. Factor -5 + 8/5*i**3 - 8*i - f*i**2 - 1/5*i**4.
-(i - 5)**2*(i + 1)**2/5
Let v(f) be the first derivative of 31 + 0*f**2 + 0*f**3 + 1/72*f**4 + 1/120*f**5 - 34*f. Let w(a) be the first derivative of v(a). Factor w(g).
g**2*(g + 1)/6
Let z(x) = -16*x**3 + 129 + 3 - 17*x + 44*x**2 + 63*x + 17*x**3. Let f be z(-43). Suppose -1/3 + 1/3*a**4 + 2/3*a + 0*a**2 - 2/3*a**f = 0. What is a?
-1, 1
Let b(a) = -329*a + 69. Let r be b(2). Let p = -587 - r. Factor -1/5*u**p + 0 - 1/5*u**3 + 1/5*u + 1/5*u**4.
u*(u - 1)**2*(u + 1)/5
Let c(d) be the second derivative of 5/4*d**5 - 5*d - 185/12*d**4 + 9 - 50*d**2 + 160/3*d**3. Factor c(x).
5*(x - 5)*(x - 2)*(5*x - 2)
Let 278/5*l - 242/5*l**2 - 46/5 + 2*l**3 = 0. What is l?
1/5, 1, 23
Let i = 277 - 232. Factor 5*z**2 + i - 3*z - 51 + 3*z**3 + z**2.
3*(z - 1)*(z + 1)*(z + 2)
Let q(h) = -h**2 - 4*h + 14. Let x be q(-6). Suppose 5*v - 12 = -y, -2*y = -0*y - v - x. Let 11*g - 10 + 19*g - 5*g**y - 5*g - 10 = 0. What is g?
1, 4
Let l(z) = 9*z**3 - 13*z**2 + 95*z - 49. Let w(r) = -4*r**3 + 8*r**2 - 47*r + 25. Let a(i) = -6*l(i) - 14*w(i). Factor a(u).
2*(u - 14)*(u - 2)*(u - 1)
Let q(y) be the first derivative of 4/9*y**5 - 28/9*y + 14/9*y**4 - 26/9*y**2 - 2/27*y**6 + 8/27*y**3 - 8. Suppose q(s) = 0. Calculate s.
-1, 1, 7
Let n(f) = f**3 - 8*f**2 - 89*f - 28. Let t be n(-6). Factor 10/11*l**t - 9/11*l + 0 - 1/11*l**3.
-l*(l - 9)*(l - 1)/11
Let r be (-10)/(-15)*(-30)/(-4) - 1. Suppose r*o - 16 = 4*f, -f - 25 + 5 = -5*o. Solve -4*p**3 - o*p**2 - 18*p**2 - 5*p - p**3 + 12*p**2 = 0 for p.
-1, 0
Let z(w) = -16*w**3 + 54*w**2 - 114*w - 40. Let c(i) = 3*i**3 + i**2 + 8. Let d(g) = -15*c(g) - 3*z(g). Factor d(s).
3*s*(s - 57)*(s - 2)
Let z be -1 + 1/((-5)/40). Let k be 1 - 0 - (0/3 + z). Factor -15*q**2 + 8*q**3 - 18*q - q**3 - k*q**3.
-3*q*(q + 2)*(q + 3)
Let g(z) be the second derivative of 3/2*z**3 + 1/16*z**4 + 0 + 33/8*z**2 - 11*z. Factor g(c).
3*(c + 1)*(c + 11)/4
Let v(x) = -456*x - 5013. Let k be v(-11). Let z(j) be the second derivative of -1/72*j**4 + 0*j**k + 9*j + 0*j**2 + 1/36*j**6 + 1/30*j**5 + 0. Factor z(p).
p**2*(p + 1)*(5*p - 1)/6
Let h(w) = 11*w**2 - 346*w - 348. Let a be h(-1). Factor -5/2*o**3 - a + 45/2*o + o**2.
-(o - 3)*(o + 3)*(5*o - 2)/2
Suppose -13*n = 42 - 81. Let 155*h**2 + 12*h - 31 - 3*h**4 + 6*h**n + 1 + 7 - 37 - 110*h**2 = 0. Calculate h.
-2, 1, 5
Let b(l) be the second derivative of l**5/20 + 22*l**4/3 + 173*l**3/6 + 43*l**2 - 859*l. Factor b(z).
(z + 1)**2*(z + 86)
Let c(h) = -2*h**3 + 24*h**2 - 96*h + 76. Let f(p) = 6*p**3 - 51*p**2 + 191*p - 151. Let l(r) = 5*c(r) + 2*f(r). Find v, given that l(v) = 0.
-13, 1, 3
Factor -7*f**2 + 0 - 1/3*f**3 - 38/3*f.
-f*(f + 2)*(f + 19)/3
Let s(f) be the second derivative of f**5/30 + 73*f**4/18 + 1435*f**3/9 + 1225*f**2 + 12797*f. Factor s(u).
2*(u + 3)*(u + 35)**2/3
Let z be (-3 + 4)/(1/84). Let g be (-1)/(4/(-3)*1/z). Find o, give