9, -2, 1
Let w(r) = r**2 + 27*r - 56. Let m be w(-29). Factor -139 - 23*i + 5*i**m - 12*i + 49.
5*(i - 9)*(i + 2)
Let m(v) be the second derivative of 0 + 33/2*v**3 - 60*v + 5/2*v**4 + 54*v**2 + 3/20*v**5. Solve m(a) = 0 for a.
-4, -3
Let v be -7 + 1 + -1 + (-15 - -12). Let f be 50/(-20)*8/v. Suppose 19*m + 14*m + 9*m**5 + 0*m**3 - 18 - 36*m - 30*m**4 - 6*m**3 + 48*m**f = 0. What is m?
-1, -2/3, 1, 3
Let q(x) be the first derivative of -x**5/60 + x**4/3 + 3*x**3/2 - 12*x**2 + 50. Let j(c) be the second derivative of q(c). Factor j(l).
-(l - 9)*(l + 1)
Suppose -y = 5*w - 7*w - 37, 3*y + 4*w = 91. Suppose y - 21 = 6*r. Factor -5/9*t**r + 0 - 4/9*t**3 - 1/9*t.
-t*(t + 1)*(4*t + 1)/9
Find i, given that 1557*i + 953*i + 2650*i**2 - 2645*i**2 - 2515 = 0.
-503, 1
Let l(r) be the third derivative of 4*r**5/135 - 61*r**4/108 + 10*r**3/3 + 3*r**2 + 426. Find p such that l(p) = 0.
2, 45/8
Suppose s - 3*s + i = -5, -i - 17 = -5*s. Let j = 19 + s. Factor -17 + 4*v**4 + 80*v + 17 + 32 + 5*v**3 + 72*v**2 + j*v**3.
4*(v + 1)*(v + 2)**3
Let u(n) be the first derivative of n**3/24 + 3809*n**2/8 + 14508481*n/8 + 10065. Suppose u(v) = 0. Calculate v.
-3809
Let b be ((-111)/8)/1 + 96 + -82. Solve b*u**4 + 0 - 1/8*u**3 - 1/8*u**2 + 1/8*u = 0 for u.
-1, 0, 1
Let w(a) = a**2 - a - 2. Let y(t) = -2*t**2 - 770*t - 12324. Let k(n) = -n**2 - 256*n - 4108. Let o(z) = 8*k(z) - 3*y(z). Let s(l) = o(l) + 6*w(l). Factor s(f).
4*(f + 32)**2
Suppose -5*i = 5 + 5, 4*c - 2*i = 108. Factor 40*a - c - 211 - a**2 - 163.
-(a - 20)**2
Let k(d) = 9*d**3 - 274*d**2 - 567*d - 276. Let t(z) = -28*z**3 + 823*z**2 + 1704*z + 827. Let q(a) = 13*k(a) + 4*t(a). Factor q(g).
5*(g - 56)*(g + 1)**2
Let u(t) be the second derivative of t**4/60 - 4*t**3/15 - 69*t**2/2 - 1482*t. Factor u(m).
(m - 23)*(m + 15)/5
Let n = -45 - -1. Let m = n - -47. Determine c, given that c**5 + 10*c**2 - 4*c**3 + 2 + 15*c + 3 - 6*c**5 - 15*c**4 - 6*c**m = 0.
-1, 1
Let r(q) be the first derivative of -q**4/6 - 116*q**3/9 + 1639*q**2/3 - 19360*q/3 + 10911. Factor r(i).
-2*(i - 11)**2*(i + 80)/3
Suppose 0 = 18*a + 7*a + 307683 - 307783. Factor -50/9*f**5 + 224/9*f - 32/9*f**2 + 260/9*f**a - 368/9*f**3 + 64/9.
-2*(f - 2)**3*(5*f + 2)**2/9
Let h(x) be the third derivative of x**5/270 - 533*x**4/54 + 284089*x**3/27 - 487*x**2 + 2*x. Factor h(r).
2*(r - 533)**2/9
Let o(v) = -v**3 + v**2 + 6*v + 1. Let m(z) = 2*z**3 - 128*z**2 + 366*z - 3. Let f(g) = 2*m(g) + 6*o(g). Solve f(i) = 0 for i.
-128, 0, 3
Let h = 1/7122 + 4741/49854. Let p(n) be the first derivative of h*n**3 + 5/7*n**2 + 8/7*n + 21. Factor p(v).
2*(v + 1)*(v + 4)/7
Let t(m) be the third derivative of -m**5/105 + 7*m**4/6 + 104*m**3/7 - 1643*m**2 - 3. Solve t(n) = 0 for n.
-3, 52
Let x(c) be the second derivative of 0 + 0*c**2 + 3*c - 1/6*c**3 - 1/90*c**6 + 5/6*c**4 - 2/15*c**5. Let k(w) be the second derivative of x(w). Factor k(i).
-4*(i - 1)*(i + 5)
Suppose -206*f + 315 = -211*f. Let v be 8/(-6)*(f/(-28) + -6). Factor -1/10*u**v + 1/10*u**3 + 0*u**2 + 0 + 0*u**4 + 0*u.
-u**3*(u - 1)*(u + 1)/10
Suppose -53 = -s - 2*f + 9, 0 = -4*f + 8. Let m(u) = -959*u - 1916. Let x be m(-2). Factor s*n - 58*n - n**x + 4 + 0.
-(n - 2)*(n + 2)
Let z(p) be the first derivative of -p**3/6 + 6*p**2 - 63*p/2 - 494. Factor z(f).
-(f - 21)*(f - 3)/2
Let b(s) = 28*s**4 - 179*s**3 - 458*s**2 - 501*s - 133. Let k(g) = 13*g**4 - 89*g**3 - 231*g**2 - 251*g - 68. Let i(v) = 6*b(v) - 13*k(v). Factor i(a).
-(a - 86)*(a + 1)**3
Factor -140/3*d**2 - 194/3*d - 12 + 6*d**3.
2*(d - 9)*(d + 1)*(9*d + 2)/3
Suppose -6*v = -34*v - 3*v - 11*v. Solve v - 1/3*o**3 + 2*o**2 + 7/3*o = 0 for o.
-1, 0, 7
Let d be 2/6*0*1/13. Let g(f) be the third derivative of d*f + 1/6*f**4 + 2/15*f**5 + 0 - 4/3*f**3 + 3*f**2 - 1/30*f**6. Factor g(j).
-4*(j - 2)*(j - 1)*(j + 1)
Let u = 66 + -36. Let j = u - 28. Factor -123*s**j + 4*s + 57*s**2 - 10*s**3 + 60*s**2.
-2*s*(s + 1)*(5*s - 2)
Let -1/3*h**4 + 0 + 1/3*h**2 - 54*h**3 + 54*h = 0. What is h?
-162, -1, 0, 1
Let w(c) = 6*c**3 - 3*c**2 + 9*c. Let j(m) = m**3 + m. Let o be 6 + (-2 - (-25)/(-5)). Let q(x) = o*w(x) + 9*j(x). Determine v so that q(v) = 0.
-1, 0
Let a = 355 + -348. Let x(r) be the third derivative of 1/135*r**5 + 0*r**3 + 1/945*r**a + 0*r**4 + 6*r**2 + 0 + 0*r + 1/180*r**6. Solve x(z) = 0.
-2, -1, 0
Let x(g) be the first derivative of -9*g**5/4 + 471*g**4/8 + 2373*g**3/4 + 843*g**2 + 405*g - 13870. Suppose x(f) = 0. What is f?
-5, -2/3, -2/5, 27
Let i(x) be the third derivative of 1/126*x**7 + 0*x**3 - 5/2016*x**8 - 6*x + 0 - 5/36*x**4 + 1/48*x**6 - 7*x**2 - 1/18*x**5. Factor i(b).
-5*b*(b - 2)**2*(b + 1)**2/6
Suppose 285*c - 96 = 261*c. Let d(b) be the first derivative of -3/7*b**2 + 4/7*b + 1/14*b**c - 21 + 0*b**3. Let d(j) = 0. What is j?
-2, 1
Let b(s) be the second derivative of -1/2*s**5 + 4*s**3 + 2 - 45*s + 4*s**2 + 1/2*s**4. Factor b(o).
-2*(o - 2)*(o + 1)*(5*o + 2)
Suppose 7861*o**2 - 4031*o**2 + 1965*o - 111*o**3 + 450 + 4*o**4 - 3198*o**2 = 0. Calculate o.
-2, -1/4, 15
Let o(d) be the third derivative of 1/35*d**7 + 0*d - 7/8*d**4 + 1/112*d**8 + 0 - d**3 + 98*d**2 - 1/20*d**6 - 2/5*d**5. Factor o(c).
3*(c - 2)*(c + 1)**4
Let l(b) be the third derivative of b**5/60 - 29*b**4/24 + 34*b**3 - 25*b**2 - 2*b + 6. Solve l(i) = 0.
12, 17
Factor 0*p + 0 + 18*p**3 - 14/3*p**4 - 12*p**2.
-2*p**2*(p - 3)*(7*p - 6)/3
Let z(x) be the second derivative of -3/110*x**5 - 1/165*x**6 + 2/11*x**2 - 6 - 1/66*x**4 + 1/11*x**3 - 7*x. What is i in z(i) = 0?
-2, -1, 1
Let n(a) be the third derivative of -1/30*a**6 + 0*a - a**3 + 185*a**2 - 4/15*a**5 + 0 + 1/315*a**7 - 13/18*a**4. Factor n(w).
2*(w - 9)*(w + 1)**3/3
Let x be (-13)/(-22464)*276 + 6/96. Solve -8/9*d + 0 + 8/9*d**4 + x*d**5 - 8/9*d**2 + 2/3*d**3 = 0.
-2, -1, 0, 1
Factor 3/2*c**4 + 0 + 39/2*c**3 + 0*c + 0*c**2.
3*c**3*(c + 13)/2
Determine k so that -372*k**2 + 3*k + k + 345*k**2 - 6*k - 4*k + 6*k**3 + 3*k**4 + 24 = 0.
-4, -1, 1, 2
Let u(j) be the second derivative of -2*j - 1/5*j**2 + 1/10*j**3 + 20 - 1/100*j**5 + 0*j**4. Factor u(l).
-(l - 1)**2*(l + 2)/5
Let m be 0*((-510)/340)/(3/2). Let h(n) be the first derivative of -21 - 2/7*n**2 + 2/21*n**3 + m*n. Find i such that h(i) = 0.
0, 2
Let c(m) = -80*m**3 - 24715*m**2 - 6855865*m - 630737280. Let q(v) = 13*v**3 + 4120*v**2 + 1142644*v + 105122880. Let u(l) = -4*c(l) - 25*q(l). Factor u(z).
-5*(z + 276)**3
Let m be -10*(-1)/(-2)*-5. Factor -12*l**3 - 3*l**4 - 28*l**2 + 12*l + m*l**4 + 9 - 2*l**4 - 1.
4*(l - 1)**2*(l + 1)*(5*l + 2)
Let z(d) be the first derivative of -d**5 + 65*d**4/4 + 95*d**3/3 - 365*d**2/2 + 210*d + 676. Find c, given that z(c) = 0.
-3, 1, 14
Let h(b) be the second derivative of b**4/36 - 49*b**3/9 + 2401*b**2/6 + b - 1598. Find c, given that h(c) = 0.
49
Let n(t) = -180*t**2 + 6850*t - 2380525. Let a(y) = -7*y**2 - 2*y - 1. Let i(g) = -25*a(g) + n(g). What is w in i(w) = 0?
690
Let y = 78028 - 156051/2. Factor -1/6*m**5 + 3/2*m**2 + 0*m + 7/6*m**4 + 0 - y*m**3.
-m**2*(m - 3)**2*(m - 1)/6
Let x(c) = -13*c**4 - 22*c**3 + 15*c**2 + 147*c + 105. Let z(v) = -18*v**4 - 23*v**3 + 15*v**2 + 148*v + 104. Let r(t) = 4*x(t) - 3*z(t). Solve r(w) = 0 for w.
-3/2, -1, 6
Let l = -29227923/23 + 1270783. Solve -l*u + 112/23*u**3 - 36/23*u**2 + 48/23*u**4 - 12/23 - 26/23*u**5 = 0.
-1, -2/13, 1, 3
Factor 2/7*r**3 + 530/7*r - 804/7 + 272/7*r**2.
2*(r - 1)*(r + 3)*(r + 134)/7
Let t = -261 + 265. Suppose -z + b - 3 = 0, 9*z - t*z - 2*b = 0. Factor -1/5*q**z - 2/5 - 3/5*q.
-(q + 1)*(q + 2)/5
Let b be ((-6)/(-5))/1 + 16/20. Factor b*z**4 + z**4 - 88*z + z**4 - 32*z**3 - 32 - 8*z**4 - 84*z**2.
-4*(z + 1)**2*(z + 2)*(z + 4)
Suppose 1003 = 2*g + 53. Let p = -217 + g. Determine b, given that 9*b**2 - 11*b**3 + 12*b - b**3 + b**4 - p + 246 + 2*b**4 = 0.
-1, 1, 2
Let w(j) be the first derivative of 49*j**4 - 596*j**3/3 + 208*j**2 - 16*j - 43. Factor w(g).
4*(g - 2)*(g - 1)*(49*g - 2)
Let p(v) = 38*v**2 - 170*v + 10. Let s be p(5). Let j be (-1 + 21)*11/s. Solve 0 + 2/5*w**3 - 4/5*w + 2/5*w**j = 0 for w.
-2, 0, 1
Let k(y) = -y**3 + 4*y**2 + 2. Let r be k(4). Let h be 0/(2 + -1) + 32 + -25. Factor -6 - z**r + h + 2*z + 2*z**2.
(z + 1)**2
Let k = -36 - -47. Suppose 8*d - k*d = -12. Let u(r) = -r**5 - r**4 - r**2. Let m(o) = 6*o**5 + 6*o**4 - 2*o**3 + 2*o**2. Let i(t) =