x be (-6 + (-17)/(-2))/((46/(-69))/(56/(-63))). Factor -x*h**2 + 16/3*h - 2.
-2*(h - 1)*(5*h - 3)/3
Let t = 1093951/104 + -84139/8. Factor 0 - t*x**2 + 2/13*x**3 - 20/13*x.
2*x*(x - 10)*(x + 1)/13
Let f(y) = 2*y**2 - 5*y - 10. Let n be (5/3 - -1)*(-3)/(-2). Let j be f(n). Determine m, given that -12 + 12*m - 24 - 80*m**2 + 79*m**j = 0.
6
Let l(h) be the second derivative of h**5/80 - 7*h**4/16 + 52*h**2 - 113*h + 1. Let n(y) be the first derivative of l(y). Factor n(f).
3*f*(f - 14)/4
Let i(z) be the second derivative of -z**8/43680 + z**7/1092 - 5*z**6/468 + 197*z**4/12 + 258*z + 1. Let j(c) be the third derivative of i(c). Factor j(w).
-2*w*(w - 10)*(w - 5)/13
Let k be (-84)/(-40) - (-6)/4. Suppose -118 - 13 = -175*h + 219. Solve 3/5*l**h + 3 - k*l = 0.
1, 5
Let m be 8/(-18) + (-482)/2169 + (-204)/(-90). Find u, given that -4/5*u**4 - m + 12/5*u**2 - 4/5*u + 4/5*u**3 = 0.
-1, 1, 2
Let y**4 + 335*y - 288*y**2 + 19*y**4 + 20324*y**3 - 150 + 88*y**2 - 20329*y**3 = 0. What is y?
-15/4, 1, 2
Let 4/3*r + 16 - 2*r**4 - 85/3*r**3 - 52*r**2 = 0. What is r?
-12, -2, -2/3, 1/2
Let g = -26901 - -53803/2. Solve h**2 - 5/4*h + g - 1/4*h**3 = 0 for h.
1, 2
Find s, given that s + 4 - 2859*s**2 - 1 + 2831*s**2 + 3 - 8*s**4 + 29*s**3 = 0.
-3/8, 1, 2
Let d(a) be the second derivative of -10*a + 37/6*a**4 + 2*a**5 - 8/3*a**3 - 4*a**2 + 0. Factor d(k).
2*(k + 2)*(4*k + 1)*(5*k - 2)
Let w(m) be the second derivative of m**5/20 + 85*m**4/2 + 14450*m**3 + 2456500*m**2 + 845*m. Factor w(d).
(d + 170)**3
What is c in -237/2*c**3 - 13/2*c**5 + 53*c**4 - 10*c + 82*c**2 + 0 = 0?
0, 2/13, 1, 2, 5
Let u(f) be the first derivative of -f**8/840 - f**7/210 + f**6/180 + f**5/30 - 31*f**3/3 - f**2/2 + 47. Let l(d) be the third derivative of u(d). Factor l(r).
-2*r*(r - 1)*(r + 1)*(r + 2)
Let c(l) be the first derivative of l**5/45 + 11*l**4/36 + 37*l**3/27 + 5*l**2/2 + 2*l - 3069. Factor c(s).
(s + 1)**2*(s + 3)*(s + 6)/9
Let g be -21*(43/(-129) - 50/(-168)). Factor -1/4*c**2 + g - 1/2*c.
-(c - 1)*(c + 3)/4
Let n(m) = m**3 - 2*m - 2. Let y be ((-15)/(-10))/(9/12). Let s be n(y). Factor 10*k**3 - 9*k**3 + 5*k**s - 10 + 8*k + 14.
(k + 1)*(k + 2)**2
Let u = -247099/100 - -2471. Let r(x) be the second derivative of 0*x**2 + 0 + u*x**5 + 0*x**4 - 1/30*x**3 - 7*x. Factor r(y).
y*(y - 1)*(y + 1)/5
Let c(z) = 7*z**2 + z - 6. Let g(t) = -20*t**2 - 3*t + 17. Let o(d) = -17*c(d) - 6*g(d). Let k(f) = f**3 - 1 - f + 1. Let h(w) = -k(w) - o(w). Solve h(s) = 0.
-1, 0
Let h(u) be the third derivative of u**6/600 + 11*u**5/12 + 547*u**4/120 + 91*u**3/10 + 14*u**2 + 16. Solve h(l) = 0.
-273, -1
Let o(b) = 2*b**2 + 30*b + 52. Let u be o(-18). Factor 149*d + 5*d**2 + 25*d**2 + 5*d**3 - u - 149*d.
5*(d - 2)*(d + 4)**2
Factor 1195316 - 3*g**2 + 7*g**2 - 88612 + 1955*g - 3400*g - 2763*g.
4*(g - 526)**2
Factor 41822*l**2 - 16008*l**3 - 27900*l**3 - 4*l**5 - 808*l**4 - 602176*l - 355326*l**2.
-4*l*(l + 4)**2*(l + 97)**2
Let y(q) be the first derivative of 2*q**2 + 2/9*q**3 - 19 + 6*q. Factor y(o).
2*(o + 3)**2/3
Let i(p) be the third derivative of -29*p**5/12 - 285*p**4/8 + 15*p**3 - 7*p**2 - 3*p - 66. Solve i(y) = 0 for y.
-6, 3/29
Let g be ((-3465)/42)/(-11)*1295/15. Determine s, given that -1/2*s**3 - 1225/2 - g*s - 71/2*s**2 = 0.
-35, -1
Let g(i) = i**2 + 22*i - 1. Let h(f) = 6*f**2 + 134*f + 39. Let t(x) = -5*g(x) + h(x). Suppose t(z) = 0. What is z?
-22, -2
Solve -361*b - 79*b + 750*b**2 + 27*b**3 + 174 - 708*b + 197*b = 0.
-29, 2/9, 1
Determine q so that 0*q - 1/2*q**5 - 13*q**2 - 87/4*q**3 + 0 + 33/4*q**4 = 0.
-1/2, 0, 4, 13
Let r(m) be the first derivative of -m**5/210 + 2*m**4/21 + 3*m**3/7 + 11*m**2/2 + 33. Let h(y) be the second derivative of r(y). Determine j so that h(j) = 0.
-1, 9
Let c be ((-820)/(-328))/(9/6). Solve -50/3*g**2 + 120 - 20*g - c*g**3 = 0.
-6, 2
Let u(s) be the third derivative of -s**5/12 + 470*s**4/3 - 3755*s**3/6 - 1671*s**2 - s. Determine v, given that u(v) = 0.
1, 751
Let c be (12 - (-24)/(-3))/2. Suppose -4*v = l - 265, -l + 269 = 4*v + 4*l. Factor 60 - 142 + 4*s**c + v.
4*(s - 2)*(s + 2)
Let w(s) = 9*s - 93. Let x be w(10). Let g(m) = m**4 + 4*m**3 + 1. Let h(l) = 2*l**4 + 5*l**3 + l + 1. Let f(r) = x*g(r) + 2*h(r). Factor f(q).
(q - 1)**3*(q + 1)
Let l = 17/37 + 103/259. Let j = 5665 + -5665. Factor j - 2/7*g**4 + 2/7*g + l*g**3 - 6/7*g**2.
-2*g*(g - 1)**3/7
Suppose 42 = 2*t + 19*t. Let j**3 - 33*j**3 + 34*j**3 - 4*j**t = 0. Calculate j.
0, 2
Let z = -103709/2 - -51855. Factor -f + 2*f**2 - z*f**4 + f**3 - 3/2.
-(f - 3)*(f - 1)*(f + 1)**2/2
Let y = -19 - -21. Factor -4 + 7 + 54*o - 60*o**y - 14*o**3 + 13 + 4.
-2*(o - 1)*(o + 5)*(7*o + 2)
Factor -15*z**2 - 77*z - 113 - 118*z - 7 + 5*z.
-5*(z + 12)*(3*z + 2)
Let p(b) be the first derivative of 8/9*b**3 + 0*b + 0*b**2 + 27 - 1/12*b**4. Factor p(w).
-w**2*(w - 8)/3
Let w be 8/(-4)*(-7)/7. Suppose 276 - 142 + w*p**2 - 138 - 2*p = 0. Calculate p.
-1, 2
Let f(c) be the third derivative of c**8/47040 - c**4/8 + 23*c**3/6 - 61*c**2. Let k(l) be the second derivative of f(l). Find w such that k(w) = 0.
0
Let s(q) = 35*q**2 - 65*q - 115. Let d(k) = 24*k**2 + 15*k**2 + k - 48*k**2 + 15*k + 29. Let c(o) = -15*d(o) - 4*s(o). Determine i so that c(i) = 0.
-1, 5
Let q(p) be the second derivative of -9*p**6/40 - 3141*p**5/80 + 701*p**4/16 - 117*p**3/8 + 27*p - 46. Factor q(a).
-3*a*(a + 117)*(3*a - 1)**2/4
Let o be 7 + (-10)/(11 + -5 + -4). Let h be 8/2 + ((-5)/(-20) - 4). Factor -1/8*b - 1/8 + h*b**o.
(b - 1)*(2*b + 1)/8
Let q(d) be the third derivative of d**7/1470 + d**6/35 - 5*d**5/84 - 21*d**2 + 64*d. Factor q(n).
n**2*(n - 1)*(n + 25)/7
Let x(u) be the second derivative of 23/36*u**3 - 81*u + 0 - 13/4*u**2 + 1/36*u**4. Let x(o) = 0. What is o?
-13, 3/2
Suppose 9 = -2*h - 5*i, -3*h = 4*i - 1 + 4. Factor -11*x**3 - 44*x**2 + 0*x**4 - 16*x**h - 5*x**4 + 20*x + 74*x**2 - 25 + 7*x**3.
-5*(x - 1)**2*(x + 1)*(x + 5)
Factor -11*v**2 + 1124*v**4 - 12*v**5 + 14*v**5 + 17*v**2 - 1130*v**4 - 2*v**3.
2*v**2*(v - 3)*(v - 1)*(v + 1)
Let y(w) be the third derivative of 7/90*w**5 + 1/105*w**7 - 14*w**2 - 4/9*w**3 - 1/18*w**6 + 0*w + 0 + 1/9*w**4. Determine l, given that y(l) = 0.
-2/3, 1, 2
Let s(r) be the second derivative of -5/2*r**3 - 10*r + 1/4*r**4 - 9*r**2 + 0. Determine t, given that s(t) = 0.
-1, 6
Let m(p) = 2*p**3 - 48*p**2 + 105*p - 34. Let b be m(2). Let -7/12*o**2 + 5/4*o**3 - 3/4*o**4 + 1/12*o + b = 0. What is o?
0, 1/3, 1
Let u be -6*7/((-3570)/20). Let v = 9 - 7. Determine z, given that -u*z**3 + 4/17*z + 2/17*z**4 + 0 - 2/17*z**v = 0.
-1, 0, 1, 2
Let h = -16438 + 16440. Let k(y) be the first derivative of 0*y + 1/27*y**6 - 25 + 1/18*y**4 + 0*y**h + 0*y**3 - 4/45*y**5. Factor k(t).
2*t**3*(t - 1)**2/9
Suppose 39*c + 372 = 70*c. Determine f, given that -116 + 38 + c*f**3 - 32*f**2 + 16*f + 34 + 8*f**4 - 4*f**5 + 44 = 0.
-2, 0, 1, 2
Let z = 168 - 158. Suppose -19 - 1 = -z*y. Find b, given that 0 + 0*b + 1/3*b**4 + 4/3*b**3 + 4/3*b**y = 0.
-2, 0
Let t = 50 + -22. Suppose t = 5*y + 8. Let -17*x**3 - x**y + 4*x**4 + 2*x**4 - 3*x**3 = 0. Calculate x.
0, 4
Let a(t) be the third derivative of 0*t - 4/525*t**7 + 0 - 1/840*t**8 + 1/75*t**5 - 58*t**2 - 1/75*t**6 + 1/12*t**4 + 2/15*t**3. Find s such that a(s) = 0.
-2, -1, 1
Let t(y) be the second derivative of -4*y**5/5 - 9*y**4 + 152*y**3/3 - 90*y**2 - 531*y. Factor t(c).
-4*(c - 1)*(c + 9)*(4*c - 5)
Suppose -32*l - 24 = -88. Factor -20*b**3 + 177*b**3 - 602*b**l + 512*b - 20*b**4 - 436*b + 1044*b - 344 - 456 + b**5.
(b - 5)**2*(b - 4)**2*(b - 2)
Let u = 121426 - 121424. What is n in -2/11*n**u + 72/11 + 18/11*n = 0?
-3, 12
Factor -7/4*w - 2*w**3 + 1/8*w**4 + 29/8*w**2 + 0.
w*(w - 14)*(w - 1)**2/8
Let l = -16 + 16. Suppose 3*g - 291 = -l*g. Find h such that g*h**3 - 53*h**3 - 45*h**3 - 3*h + 3*h**2 + 1 = 0.
1
Let b(n) be the first derivative of -2*n**3/3 + 707*n**2 + 1416*n - 5910. Factor b(o).
-2*(o - 708)*(o + 1)
Suppose -2*z = -3*c - 4, -5*c - 21 = -5*z - 6. Suppose -c*i + 20 - 10 = 0. Find n, given that 8*n**2 - 38*n + 41*n - 2*n**i + n**5 + 6*n**3 = 0.
-1, 0, 3
Let c(m) be the second derivative of -m**7/840 - m**6/40 + 7*m**5/40 - 13*m**4/12 - 52*m. Let g(r) be the third derivative of c(r). Factor g(u).
-3*(u - 1)*(u + 7)
Let h(m) be the first derivative of 2*m**5/45 + 10*m*