(-9)/(-54)*54/f. Suppose -15/4*o + 0 - k*o**2 = 0. What is o?
-5, 0
Let r(i) = -26*i**4 + 412*i**3 - 1610*i**2 - 266*i + 10. Let k(f) = -13*f**4 + 206*f**3 - 806*f**2 - 134*f + 6. Let h(x) = -10*k(x) + 6*r(x). Factor h(w).
-2*w*(w - 8)**2*(13*w + 2)
Let r = 5/3248 - -25929/35728. Factor 0*f - r*f**2 + 8/11*f**3 - 2/11*f**4 + 0.
-2*f**2*(f - 2)**2/11
Let b = 14 - 11. Let m(h) = h**2 + 9*h**2 - h - 14*h**2 + 1 + b*h**2. Let n(v) = -7*v**2 - 3*v + 4. Let f(q) = 6*m(q) - n(q). Factor f(t).
(t - 2)*(t - 1)
Suppose 3*g = -2*f - 2, -f - 8 = 4*g + g. Factor 7*d**2 - 8*d**f - 50*d + 125 + 3*d**2 + 3*d**2.
5*(d - 5)**2
Let m = 205 + -205. Suppose -2*v = c, m = c + 2*v + 3*v + 6. Solve -r**3 + 7/5*r**5 - 9/5*r**c - 2/5*r + 9/5*r**2 + 0 = 0 for r.
-1, 0, 2/7, 1
Determine j, given that -57/2*j**2 + 0 + 96*j**3 - 63*j - 9/2*j**4 = 0.
-2/3, 0, 1, 21
Let z(x) be the second derivative of -60*x + 1/24*x**4 + 0 - x**2 - 1/4*x**3. Factor z(s).
(s - 4)*(s + 1)/2
Let j(x) be the first derivative of -x**3/6 + 185*x**2 - 68450*x - 2116. Suppose j(m) = 0. Calculate m.
370
Let f be 2/4 - 49/(-14). Let 562 - 16*u + 56*u**2 - 562 + 34*u**f - 6*u**5 - 68*u**3 = 0. Calculate u.
0, 2/3, 1, 2
Let x(k) = 144*k**2 - 5604*k + 436184. Let v(l) = 123*l**2 - 5604*l + 436183. Let p(m) = 6*v(m) - 5*x(m). Factor p(c).
2*(3*c - 467)**2
Let v(n) be the second derivative of -31*n**6/255 + 91*n**5/170 - 29*n**4/34 + 25*n**3/51 + 2*n**2/17 - 10*n - 1. Factor v(u).
-2*(u - 1)**3*(31*u + 2)/17
Suppose -4802*x = -4804*x - 3*c - 17, -3*x + 3*c + 27 = 0. Find g such that 0*g + 4/15*g**x - 8/15*g**5 + 0 + 2/5*g**4 + 6/5*g**3 = 0.
-1, -1/4, 0, 2
Factor -1/2*t**2 - 6728 + 116*t.
-(t - 116)**2/2
Suppose 48 - 60 = -4*w. Determine r, given that 23*r**2 + 121*r**3 + 61*r**2 - 5*r**3 + 13*r**w + 8*r + 51*r**3 = 0.
-1/3, -2/15, 0
Find s such that -1/3*s**2 - 5929/3 + 154/3*s = 0.
77
Let i = -56 - -42. Let t = -12 - i. Find n such that -3*n**t - 9*n - 3 + 11 + 6 - 2 = 0.
-4, 1
Suppose 0*g + 88 = -2*g. Let i(h) = h**2 + h. Let l(a) be the third derivative of a**5/6 + 5*a**4/8 - 73*a**2. Let v(o) = g*i(o) + 4*l(o). Factor v(p).
-4*p*(p - 4)
Let l = -606649 - -606651. Factor 8/5*o**3 - 4/5*o**l + 0 - 4/5*o**4 + 0*o.
-4*o**2*(o - 1)**2/5
Suppose 0 = 6*m + 80 + 40. Let r(q) be the first derivative of -8*q**3/3 - 4*q**2 - 10*q + 3. Let x(d) = d**2 + d + 1. Let j(h) = m*x(h) - 2*r(h). Factor j(l).
-4*l*(l + 1)
Let r(c) be the third derivative of -8/735*c**7 + 2/21*c**5 + 1/210*c**6 + 0 - 2/21*c**4 + 1/588*c**8 - 16/21*c**3 - 15*c**2 + 0*c. Factor r(b).
4*(b - 2)**3*(b + 1)**2/7
Let x = -1971/49 - -11031/245. Factor -8/5 - 2*q**2 + x*q.
-2*(q - 2)*(5*q - 2)/5
Let y(o) = -23*o**3 - 830*o**2 + 172237*o + 12. Let j(c) = 50*c**3 + 1660*c**2 - 344476*c - 26. Let l(v) = 6*j(v) + 13*y(v). Suppose l(u) = 0. Calculate u.
0, 415
Let f(r) = 30*r**3 - 75*r**2 + 150*r + 525. Let a(h) = -h**3 + h**2 - h - 21. Let u(s) = -25*a(s) - f(s). Suppose u(z) = 0. Calculate z.
0, 5
Let f(w) be the second derivative of 1/36*w**6 + 1/12*w**5 + 0*w**2 - 9*w + 0*w**3 - 2 - 5/24*w**4. Let f(n) = 0. What is n?
-3, 0, 1
Factor -26/11*j**4 + 0*j + 8/11*j**5 + 28/11*j**3 + 0 - 10/11*j**2.
2*j**2*(j - 1)**2*(4*j - 5)/11
Suppose 0 = -s + 2. Suppose 752*y - 98 = 747*y - 8*x, 3*y - 5*x = -49. Solve -y*w + 0 - 3/2*w**s + 1/2*w**3 = 0.
-1, 0, 4
Let j(c) = c**2 - 6*c + 15. Let i be j(15). Suppose 2*u = i + 166. Factor -u*s**3 + 162*s**3 - 4*s**2 - 8*s + 0*s**2.
4*s*(s - 2)*(s + 1)
Let v(o) = -3*o**3 + 2397*o**2 - 1867565*o + 491169071. Let g(r) = 4*r**3 - 2412*r**2 + 1867566*r - 491169072. Let d(n) = 2*g(n) + 3*v(n). Factor d(m).
-(m - 789)**3
Let y(b) be the second derivative of b**6/4 - 1821*b**5/40 + 9421*b**4/4 - 6360*b**3 + 5400*b**2 + b + 661. Determine p so that y(p) = 0.
2/5, 1, 60
Suppose 3*o - 10*o = -266. Solve 28 - o*u**2 + 79*u**2 - 39*u**2 - 18*u = 0 for u.
2, 7
Let m be (-35)/(-7) - (((-129430)/(-650))/(-7) + 2/(-13)). Solve -20*d**2 - 18 + m*d + 24/5*d**3 - 2/5*d**4 = 0.
1, 3, 5
Let u(p) be the third derivative of -p**5/180 - 721*p**4/36 - 519841*p**3/18 + p**2 + 3564*p. Factor u(g).
-(g + 721)**2/3
Let h(g) = g**3 + 12*g**2 + 5*g - 63. Let c be h(-11). Factor -72*v + 8 + 96 - c*v**2 - 388 - 148.
-3*(v + 12)**2
Let t(c) be the first derivative of c**5/35 + c**4/14 - 4*c**3/3 + 23*c**2/7 - 3*c + 385. Factor t(i).
(i - 3)*(i - 1)**2*(i + 7)/7
Let r(l) = l**2 - 3*l + 13. Let o be r(8). Let i = 55 - o. Find y such that 0*y**i + 9*y + 10*y - 81 - y - y**2 = 0.
9
Factor 472/3*n - 13924/3 - 4/3*n**2.
-4*(n - 59)**2/3
Let j(x) be the first derivative of 13*x**4/6 - 22*x**3/9 - 28*x**2/3 - 8*x/3 + 1129. Solve j(y) = 0 for y.
-1, -2/13, 2
Let z = -64 + 64. Suppose -4*m = -r + 4*r + 9, -4*m - r - 3 = z. Suppose -10*o**4 + 2 + m*o**5 - 4*o**2 + 2*o**5 + 12*o**4 + o - 2*o**3 - o**5 = 0. What is o?
-2, -1, 1
Let h(n) be the second derivative of 1/4*n**3 + 0 - 5/6*n**2 + 1/72*n**4 - 21*n. Factor h(q).
(q - 1)*(q + 10)/6
Let i be 1060/689*(0 + 2)/(-2). Let u = 206/117 + i. Solve 28/9*l - 8/3*l**2 + 4/9*l**3 - 10/9 + u*l**4 = 0.
-5, 1
Let z(m) be the third derivative of -m**6/480 - m**5/8 + 97*m**4/96 - 11*m**3/4 - 2*m**2 + 1670. Factor z(y).
-(y - 2)*(y - 1)*(y + 33)/4
Let n(z) = -2*z**3 + 110*z**2 - 597*z - 15. Let t(f) = -15*f**3 + 880*f**2 - 4775*f - 125. Let b(l) = 25*n(l) - 3*t(l). Solve b(m) = 0 for m.
0, 10, 12
Let z(g) = -3*g. Let j be z(-2). Let s be -2 - (j/(-5))/((-14)/(-35)). What is v in -v + s + 1/4*v**2 = 0?
2
Let c(y) = 2*y**4 + y**2 - y. Let u(o) = 39*o**4 + 72*o**3 + 666*o**2 + 2574*o + 3888. Let h(x) = 18*c(x) - u(x). What is i in h(i) = 0?
-6
Let v(o) be the second derivative of o**4/12 + 17*o**3/3 + 145*o**2/2 - 4157*o. Factor v(j).
(j + 5)*(j + 29)
Let o be (-171)/(-84) - 3 - 8/(-16). Let i = o + 12/7. Let -i*b + 5/4*b**2 - 5/2 = 0. What is b?
-1, 2
Let m = -72 + 74. Determine l so that -21 + 7 + l**3 - 7*l**2 - 12*l + 3*l + 9 + 4*l**m = 0.
-1, 5
Let a(m) be the third derivative of m**7/525 - m**6/50 - 6*m**5/25 + 43*m**4/30 - 3*m**3 - 169*m**2. Factor a(h).
2*(h - 9)*(h - 1)**2*(h + 5)/5
Suppose 0 = -3*d - 4*t + 1963, -3*d + 4*t - 6*t + 1973 = 0. Let -378*f**5 - d*f**4 + 160*f - 404*f**4 + 63*f**5 - 160*f**2 - 1070*f**3 = 0. What is f?
-4/3, -1, 0, 2/7
Suppose 0 = 5*k - 3*a - 9, 16*k - 17*k + 11 = 4*a. Factor -33*b - 43*b + 321*b**3 + 324*b**k - 977*b**3 - 36 - 44*b**2 + 328*b**3.
-4*(b + 1)**2*(b + 9)
Let h(c) be the first derivative of 56/5*c + 53 + 1/5*c**4 + 58/5*c**2 + 64/15*c**3. Let h(w) = 0. What is w?
-14, -1
Suppose -8 + 4 = -4*o. Let l(f) = 0*f**3 - 3*f**3 + 2*f**3 + o + 0*f**3. Let a(z) = 2*z**4 - 7*z**3 - 6*z**2 + 16*z - 5. Let k(h) = a(h) - 3*l(h). Factor k(q).
2*(q - 2)*(q - 1)**2*(q + 2)
Let j(z) be the first derivative of 0*z - 1/15*z**3 - 93 + 17/10*z**2. Find f such that j(f) = 0.
0, 17
Let k = 124399 - 373142/3. Let k*d**2 + 67/6*d**3 - 10/3*d**5 + 26/3*d + 4/3 - 14/3*d**4 = 0. Calculate d.
-2, -1/2, -2/5, 2
Suppose -11 + 17 = 2*v - d, 2*v - 2*d - 4 = 0. Suppose -p = v*m, p + p = -3*m. Factor m + 3/2*j**2 + 1/2*j**3 + j.
j*(j + 1)*(j + 2)/2
Let k(p) be the first derivative of 0*p - 56 + 3/4*p**4 + 3*p**3 - 6*p**2. Find h, given that k(h) = 0.
-4, 0, 1
Factor -224/3*j**2 - 2296/3 + 4/3*j**3 + 2516/3*j.
4*(j - 41)*(j - 14)*(j - 1)/3
Let u = -47531/4 + 11955. Let f = -2011/28 + u. Find g, given that f*g - 2/7 - 1/7*g**2 = 0.
1, 2
Suppose -22*u = u - 7084. Determine m so that -1527 - u + 75 - 4*m**2 - 544 - 192*m = 0.
-24
Let g(z) be the first derivative of 7*z**4/5 + 16*z**3/5 - 24*z**2 + 64*z/5 + 1257. Suppose g(l) = 0. Calculate l.
-4, 2/7, 2
Let a(u) be the third derivative of -u**7/210 + 31*u**6/40 - 61*u**5/20 + 91*u**4/24 + 116*u**2. What is w in a(w) = 0?
0, 1, 91
Factor -100/7*h**2 - 222*h - 2/7*h**3 - 1008.
-2*(h + 8)*(h + 21)**2/7
Let d = 93 + -88. Let q(y) = -45*y**2 - 691*y - 272. Let j(l) = -22*l**2 - 346*l - 136. Let k(z) = d*j(z) - 2*q(z). Factor k(i).
-4*(i + 17)*(5*i + 2)
Let f(t) be the third derivative of 1/3*t**5 - 2/105*t**7 + 82*t**2 - 3*t**4 - 8/3*t**3 - 3/56*t**8 + 3/4*t**6 + 0 + 0*t. What is j in f(j) = 0?
-2, -1, -2/9, 1, 2
Let z(x) be the third derivative of x**6/135 + 37*x**5/135 + 2173*x**2. Solve z(o) = 0 for o.
-37/2, 0
Suppose -h - 4 = 21. Let p be (((-20)/h)/((-3)/(-15)))/4