Let j(y) = 9*y**2 + 111*y - 140. Let c(b) = -11*j(b) + 4*r(b). Let c(d) = 0. What is d?
-8, 17
Factor -24/5*u**4 - 26/5*u**3 + 0 - 2/5*u**2 + 0*u.
-2*u**2*(u + 1)*(12*u + 1)/5
Let 5/6*t**3 + 1000/3*t + 100/3*t**2 + 0 = 0. Calculate t.
-20, 0
Let p be 195/52 + (25/4 - 6). Let o(f) be the second derivative of 5/3*f**2 + 0 - 4/9*f**3 - 1/18*f**p + 3*f. Solve o(a) = 0 for a.
-5, 1
Let r(o) be the first derivative of 4*o**5/5 + 265*o**4 + 69692*o**3/3 - 35378*o**2 - 27. Solve r(h) = 0.
-133, 0, 1
Suppose -81 = -3*h - 5*f, 95*h + 30 = 95*h + 2*f. Let 1/2 - 7/4*c + h*c**2 - 3/4*c**3 = 0. What is c?
2/3, 1
Suppose 8*p = -4*p + 432. Let d be 72/28 - p/63. Determine f, given that -12/7*f**4 + 2*f**3 + 2/7 + 10/7*f**2 - d*f = 0.
-1, 1/6, 1
Let l(k) = k**2 - 7*k. Suppose 2*v - v = 7. Let h be l(v). Find q such that 5*q + h*q + 5*q**2 - 6*q + 6*q = 0.
-1, 0
Let g be (567/(-315))/(42/(-100)). Suppose 72/7 - 3/7*t**2 - g*t = 0. Calculate t.
-12, 2
Let j(y) be the third derivative of 0 + 2/15*y**6 - 105*y**2 - 2/35*y**7 - 1/15*y**5 + 0*y**4 + 0*y**3 + 0*y. Factor j(u).
-4*u**2*(u - 1)*(3*u - 1)
Let h(c) = -4*c**4 + 464*c**3 - 13404*c**2 - 464*c + 13576. Let a(r) = 2*r**2 + 5. Let g(q) = 24*a(q) - h(q). Suppose g(f) = 0. Calculate f.
-1, 1, 58
Let r = -883 + 888. Let d(z) be the second derivative of r*z + 1/4*z**4 + 0*z**2 - 3/2*z**3 + 0. Factor d(u).
3*u*(u - 3)
Let w(k) = -2*k**2 + 10*k + 3. Suppose 0 = b - 2*g + 13, 20 = -0*b - 5*b + g. Let h(j) = j**2 - 10*j - 4. Let x(r) = b*h(r) - 4*w(r). Factor x(p).
5*p*(p - 2)
Suppose 5*i - 4*m - 16 = -2*m, -2*i + 1 = m. Let o be ((-432)/210)/8 - (-2)/5. Factor 2/7*g + o + 1/7*g**i.
(g + 1)**2/7
Suppose -3*t + 8 = -2*i, -5*i + 1173 = 5*t + 1118. What is w in -4/5*w**i - 32/5*w**3 + 0*w + 16/5*w**2 + 0 + 4*w**4 = 0?
0, 1, 2
Let z(b) be the second derivative of b**5/20 + 127*b**4/12 + 247*b**3/6 - 375*b**2/2 - 2*b - 4. Solve z(r) = 0 for r.
-125, -3, 1
Let z(n) be the third derivative of -n**6/720 - 53*n**5/120 + n**4/144 + 53*n**3/12 + 1707*n**2. Factor z(i).
-(i - 1)*(i + 1)*(i + 159)/6
Find m such that 9 - 3/8*m**5 - 75/8*m**2 + 45/8*m**3 - 21/4*m + 3/8*m**4 = 0.
-4, -1, 1, 2, 3
Let h(d) = -8*d**2 + 31*d - 26. Let v(j) = -26*j**2 + 94*j - 78. Let z be (20/18)/((-3)/(-27)). Let f(q) = z*h(q) - 3*v(q). Factor f(n).
-2*(n - 13)*(n - 1)
Let p be (-27)/(2997/(-2812)) - 24. Factor 2/15*l**2 - 22/15*l + p.
2*(l - 10)*(l - 1)/15
Let i be ((-336308)/(-864792))/(-14*2/(-27)). Suppose -i*r**2 + 9/8*r + 3/2 = 0. What is r?
-1, 4
Let r(h) = -h**3 - h**2 + 2*h + 2. Let v(y) = -y**3 + 4*y**2 + 9*y + 4. Let d(m) = -2*r(m) + v(m). Factor d(f).
f*(f + 1)*(f + 5)
Let i be (-1)/5 - 2/(-10). Suppose i = -35*d + 41*d. Determine u so that 2/7*u**2 + d*u - 2/21*u**3 - 8/21 = 0.
-1, 2
Suppose -91*s - 41*s = 0. Let h(c) be the third derivative of 1/420*c**6 - 1/35*c**5 + 0*c + s - 8/21*c**3 + 1/7*c**4 + 31*c**2. Let h(t) = 0. Calculate t.
2
Let f(p) = -5*p**2 + 2523 + 71*p - 2592 - 10*p**2 - 5*p**2. Let g(o) = 4*o**2 + 17 + o**2 - 17*o - o. Let t(d) = 2*f(d) + 9*g(d). Factor t(k).
5*(k - 3)*(k - 1)
Let i(b) = b**2. Let x(l) = -4*l**2 + 2*l - 2. Let p(w) = -3*i(w) - x(w). Let r be p(0). Suppose 0 + 7/4*h**r - 1/2*h + 3/4*h**4 - 2*h**3 = 0. Calculate h.
0, 2/3, 1
Let y(c) be the first derivative of -c**3/3 + 1751*c**2 - 3066001*c + 3856. Factor y(g).
-(g - 1751)**2
Let m = 629 + -226. Factor -375*p**4 + m*p**5 + 87*p**3 + 222*p**5 - 12*p**3 - 2*p**2 - 3*p**2.
5*p**2*(5*p - 1)**3
Let v(a) be the first derivative of 2*a**6/3 + 7*a**5/5 - a**4 - 14*a**3/3 - 4*a**2 + 45*a - 34. Let o(p) be the first derivative of v(p). Factor o(c).
4*(c - 1)*(c + 1)**2*(5*c + 2)
Let t = -393613/3 - -131205. Factor 16*x - t*x**3 - 56/3 - 2*x**2.
-2*(x - 2)**2*(x + 7)/3
Let z = 46188/115 + -92031/230. Solve -1/2*v**2 - z*v + 9 = 0.
-6, 3
Let u be ((-1374365)/2550)/(-19) + (-6)/5 + 1. Determine c, given that -182/3*c + 1/6*c**4 + u - 14/3*c**3 + 37*c**2 = 0.
1, 13
Let g(y) = 5*y + y - 4*y - 37 + 3*y. Let x be g(15). Suppose -39*n**3 - x*n**3 + 82*n**3 + 20*n**4 = 0. Calculate n.
-1/4, 0
Factor -143990*z + 1205*z**2 - 292820 - 5/2*z**3.
-5*(z - 242)**2*(z + 2)/2
Let f(p) = -35*p**2 + 14982*p - 853. Let d be f(428). Factor 0 + 1/2*g**d + 1/8*g**4 + 5/8*g**2 + 1/4*g.
g*(g + 1)**2*(g + 2)/8
Let j = -369 - -371. Suppose 3*l + j = 2*s, -s = 4*l - 6*l. Factor 18*a + 27/4 + 3/4*a**4 + 6*a**3 + 33/2*a**l.
3*(a + 1)**2*(a + 3)**2/4
Let k = 119895 - 1541070/13. Let l = -1351 + k. Factor 0*o + 0 + l*o**2.
2*o**2/13
Let y(x) be the first derivative of -1/15*x**5 + 1/3*x**2 + 14 - 1/6*x**4 + 1/3*x + 0*x**3. Factor y(a).
-(a - 1)*(a + 1)**3/3
Let c(r) = -r**5 - r**4 + 2*r - 1. Let v(t) = 9*t**5 - 415*t**4 - 296*t**3 + 552*t**2 + 290*t - 143. Let q(h) = 3*c(h) - v(h). Suppose q(l) = 0. What is l?
-1, 1/3, 1, 35
Let c(h) be the second derivative of 16*h**7/35 + 1864*h**6/75 + 1658*h**5/25 + 373*h**4/5 + 668*h**3/15 + 74*h**2/5 + 2314*h. Solve c(n) = 0 for n.
-37, -1/2, -1/3
Let h be (3/(-6))/(6/8 + -1). Factor -90*b**3 + 514*b + 759*b**2 + b**4 + 654 - 66 - 1774*b + h*b**4.
3*(b - 14)**2*(b - 1)**2
Let f(l) = 4*l**2 - 218*l + 84. Let g(j) = -6*j**2 + 340*j - 126. Let t(b) = -8*f(b) - 5*g(b). Factor t(c).
-2*(c - 21)*(c - 1)
Let w(y) be the second derivative of y**4/12 - y**3/6 + y**2 + 13*y. Let t be w(2). Find c, given that 3*c**2 - 5*c**3 - 4*c**3 - c**2 + t*c + 7*c**3 = 0.
-1, 0, 2
Let h be (72/(-20) - -3)/(5844/(-4870)). Determine u so that -h*u**2 - 4 - 5*u + 1/2*u**3 = 0.
-2, -1, 4
Let p(v) be the second derivative of v**5/100 + v**4/60 - 22*v**3/15 - 42*v**2/5 - 410*v - 1. Factor p(l).
(l - 7)*(l + 2)*(l + 6)/5
Let n(b) be the second derivative of 2 + 13/2*b**4 + 1/6*b**5 - 16*b**2 - 74/9*b**3 - 21*b. Factor n(z).
2*(z - 1)*(z + 24)*(5*z + 2)/3
Let m(k) be the third derivative of k**5/180 - k**4/3 + 40*k**3/9 - 588*k**2. Factor m(b).
(b - 20)*(b - 4)/3
Let p(c) be the second derivative of 1/27*c**3 + 0 + 0*c**2 + 41*c + 2/135*c**6 - 1/27*c**4 + 0*c**5 - 1/189*c**7. Factor p(k).
-2*k*(k - 1)**3*(k + 1)/9
Let h = -3/2891 - -11579/14455. Let q(f) be the first derivative of 0*f - 2/25*f**5 + 2/5*f**4 + 38 + 2/15*f**3 - h*f**2. Factor q(x).
-2*x*(x - 4)*(x - 1)*(x + 1)/5
Let d be (5 + 13/(-2) - 1)*40. Let k = -185/2 - d. Determine g so that 10*g**2 - k*g - 5/2*g**3 + 0 = 0.
0, 1, 3
Let w(z) be the second derivative of -z**6/225 + 19*z**5/150 + 41*z**4/90 + 7*z**3/15 + 14*z - 1. Factor w(m).
-2*m*(m - 21)*(m + 1)**2/15
Factor -1/6*n**2 + 211/3*n - 44521/6.
-(n - 211)**2/6
Suppose -q - q - 12 = -4*d, -12 = -4*d - q. Suppose -37*l**d + 60*l**3 - 32*l**3 + 3*l**4 + 6*l**2 = 0. Calculate l.
0, 1, 2
Let y be 417/(-278) - 7/(-2). Let f = -3398/5 + 682. Factor f - 2/5*h**2 - y*h.
-2*(h - 1)*(h + 6)/5
Let u(h) be the third derivative of 46/105*h**6 + 2*h**2 - 8/49*h**7 + 0 - 74*h - 16/35*h**5 + 4/21*h**4 + 25/1176*h**8 + 0*h**3. Determine f so that u(f) = 0.
0, 2/5, 2
Suppose -106*s = 232 - 249 - 407. Suppose -6/5*l**s - 39/5*l**5 - 6/5 + 12/5*l**2 - 39/5*l + 78/5*l**3 = 0. What is l?
-1, -2/13, 1
Factor 53*r**2 - 224*r + 19*r - 18*r**3 - 2 + 172*r.
-(r - 2)*(r - 1)*(18*r + 1)
Let q = -1098 - -1101. Factor -8/7 - 15/7*x + 1/7*x**q - 6/7*x**2.
(x - 8)*(x + 1)**2/7
Suppose -10*s + 2*s = 864. Let o = 110 + s. Factor 4*j**3 - 4*j - 3*j**2 + 4*j**4 - j**o + 0 + 0.
4*j*(j - 1)*(j + 1)**2
Suppose 2*l - 5*d = -d + 448, 4*l = 3*d + 916. Let p = -457/2 + l. Factor s**2 + p*s**3 + 0*s + 5/2*s**4 + 0.
s**2*(s + 1)*(5*s + 2)/2
Factor 126/5*m - 324/5 + 1/10*m**4 + 179/5*m**2 + 37/10*m**3.
(m - 1)*(m + 2)*(m + 18)**2/10
Factor 2520281 + 4124540 + 5147535 + 14162*q + 1965*q + 4*q**2 - 2391*q.
4*(q + 1717)**2
Let 889 - 144 - 2*t**3 + 783 + 533*t + 374*t**2 + 987*t = 0. Calculate t.
-2, 191
Let n(j) be the first derivative of 8/3*j**2 + 57 - 1/3*j - 64/9*j**3. Factor n(b).
-(8*b - 1)**2/3
Let q be (1/(-3) - 1)*129/(-86). Suppose -11*o - 5*j = -10*o, -3*o + 16 = -j. Factor -6 + 82/3*v**4 + 7/3*v + 136/3*v**q + 62*v**3 + 7/3*v**o.
(v + 1)**3*(v + 9)*(7*v - 2)/3
Solve 195 + 0*a**2 + a**2 + 1885*a - a**2 - 1691*a - a**2 = 0.
-1, 195
Suppose 66*v + 1 = -1 + 2. Factor v + 1/3*y**2 + 7/3*y.
y*(y + 7)/3
Let d(i) be the first derivative of -i**3/9 + 17*i**2/2 + 54*i - 865. Factor d(t).
-(t - 54)*(t + 3)/3
Let n(l