at is o in 10*o - 9*o + 5*o - u - o**i = 0?
3
Let d = 66 + -66. Let j be d + 36/(-81) - (-114)/135. Find n such that 0 + 0*n - 2/5*n**2 + j*n**3 = 0.
0, 1
Let h = 177 + -174. Factor -35*x - 10*x**2 - 11 + x**3 + 8 - 14 + 4*x**h - 3.
5*(x - 4)*(x + 1)**2
Let q(i) be the second derivative of -i**4/6 - 9*i**3 - 170*i**2 + 7714*i. Factor q(d).
-2*(d + 10)*(d + 17)
Let z(c) = 6*c**2 + 63*c - 2295. Let p be z(15). Find l such that -6/5*l**2 + 8/5*l + p - 2/5*l**3 = 0.
-4, 0, 1
Factor 2/3*b**2 - 10*b + 24.
2*(b - 12)*(b - 3)/3
Let c = -1152773/25 + 46111. Let u(a) be the first derivative of -6/5*a + c*a**5 - 11/5*a**2 - 3/5*a**4 - 7 + 1/15*a**6 - 28/15*a**3. Factor u(d).
2*(d - 3)*(d + 1)**4/5
Determine x so that -3/2*x**3 - 51*x**2 + 3600 - 240*x = 0.
-20, 6
Let s(c) be the first derivative of -5*c**4/16 + 155*c**3/12 + 325*c**2/8 + 165*c/4 - 947. Factor s(x).
-5*(x - 33)*(x + 1)**2/4
Let x be ((-21)/((-1050)/(-20)))/((-1)/5). Let u(j) be the second derivative of 21*j + 0*j**5 + 0*j**x - 2/15*j**6 + 0*j**3 + 0*j**4 + 0. Factor u(o).
-4*o**4
Suppose -261360 - 1/3*t**3 - 50952*t + 787/3*t**2 = 0. What is t?
-5, 396
Let b be (6 + -16)/(-8 + 3 + (-45)/(-18)). Let w = 1115/138 + -90/23. Suppose -w*y**b + 8/3 - 55/6*y**3 + 26*y**2 - 46/3*y = 0. Calculate y.
-4, 2/5, 1
Let n(u) be the third derivative of -1/3*u**4 + 0*u + 31*u**2 - 4*u**3 - 1/90*u**5 + 0. Factor n(h).
-2*(h + 6)**2/3
Suppose 6*g = 10*g - 24. Suppose g = y - 25. Find w such that -y*w + 5 - 18*w**2 + 35*w + 14*w**3 - 5 = 0.
0, 2/7, 1
Determine x, given that 9 + 60 + 108 + 38*x - 12 + 4*x**2 - 3*x**2 = 0.
-33, -5
Let p(d) be the third derivative of 1/6*d**3 + 0 + 1/240*d**6 - 1/60*d**5 - 1/48*d**4 + 0*d - 11*d**2. Find q, given that p(q) = 0.
-1, 1, 2
Determine m so that -394/5*m - 1/5*m**2 + 79 = 0.
-395, 1
Factor 18 + 39/4*v - 21/4*v**2.
-3*(v - 3)*(7*v + 8)/4
Let x be (5 + -1 + 0)*117/36. Let w = x - -7. Solve 11*d**3 - d**3 + 26*d + 15*d**2 - w - 5*d**4 - 46*d = 0.
-1, 2
Let c = -21786 + 21786. Let d(p) be the third derivative of -6*p**2 + p - 1/30*p**5 + 1/2*p**4 + c*p**3 + 0 - 1/60*p**6. Find x, given that d(x) = 0.
-3, 0, 2
Suppose 0 = -5*h + 2*w - 755, 12*h - 755 = 17*h - w. Let c = -148 - h. Suppose 3/2*l - c - 3/2*l**3 + 3*l**2 = 0. Calculate l.
-1, 1, 2
Let y be (20/78 - 113/339) + 16/39. Solve 0*k + 0 + 1/9*k**5 + y*k**3 - 1/3*k**4 - 1/9*k**2 = 0 for k.
0, 1
Suppose 0 = 5*n - 5*w + 10, -21*w = -5*n - 24*w - 10. Let f be (-3 - (-17 + 15))/(1/n). Determine d, given that -4/3*d**f + 0 + 4/3*d = 0.
0, 1
Let d be 894/596*1*12/45 - 505/(-50). Solve -1/2*r**3 + 41/2*r - d - 19/2*r**2 = 0 for r.
-21, 1
Let f(o) = 4385*o**2 - 1265*o + 25. Let c(k) = -6579*k**2 + 1893*k - 38. Let t(g) = -5*c(g) - 7*f(g). Factor t(v).
5*(4*v - 1)*(110*v - 3)
Let i be (-5 + (-1287)/(-247) - 161/133) + -1 + 6. Determine a, given that 3/2*a**5 + 0 - 7/2*a**3 + 2*a**2 + 2*a - 2*a**i = 0.
-1, -2/3, 0, 1, 2
Let i = -69171 + 484199/7. Solve 2/7*n + 0 - 4/7*n**2 + i*n**3 = 0.
0, 1
Let l = 745 - 751. Let u be 2/20 + (l - (-59)/10). Solve 14/3*s**2 - 8/3*s - s**3 + u = 0 for s.
0, 2/3, 4
Let v(g) be the first derivative of -g**6/120 + 9*g**5/20 + 98*g**3 + 244. Let m(a) be the third derivative of v(a). Factor m(y).
-3*y*(y - 18)
Let k be (-134)/(-26) - (-72)/(-468). Let 51*t**4 + 54*t + 121*t**2 + 471 + 0*t**4 - 463 + 6*t**k + t**5 + 119*t**3 = 0. Calculate t.
-4, -1, -2/7
Let d(u) be the third derivative of -u**8/84 + 316*u**7/105 - 6397*u**6/30 + 4108*u**5/5 - 1014*u**4 - 2*u**2 - u - 3840. Factor d(s).
-4*s*(s - 78)**2*(s - 1)**2
Let n be (-4 + 1 - (11 + -12))*-1. Suppose 3*g**3 + 61*g**n - 20*g - 76*g**2 + 60 + 2*g**3 = 0. What is g?
-2, 2, 3
Let o be (-172)/(-2150) - (-132)/225. Factor -o*i**2 - 1350 - 60*i.
-2*(i + 45)**2/3
Let q be 1 + 4 + 26928/(-2624). Let y = -1/82 - q. Factor y*s**2 - 6*s + 1 + 49/4*s**3.
(s + 1)*(7*s - 2)**2/4
Let i(a) = -9485*a - 47423. Let o be i(-5). Factor -45/2*l**o - 3/2*l**3 + 729/2 - 81/2*l.
-3*(l - 3)*(l + 9)**2/2
Let q(w) be the first derivative of -w**6/6 + 24*w**5/5 - 115*w**4/4 + 40*w**3 + 58*w**2 - 144*w - 4598. Determine z so that q(z) = 0.
-1, 1, 2, 4, 18
Let q = 1964 - 25581/13. Let n = q + 215/26. Determine x so that -n - 6*x**3 + 3*x + 15/2*x**2 = 0.
-3/4, 1
Let p(r) be the third derivative of -1/8*r**4 - 11/480*r**5 + 0 - 1/12*r**3 + 273*r**2 + 0*r. Factor p(b).
-(b + 2)*(11*b + 2)/8
Let s = -941/18 - -105/2. Let b = -163704 - -163706. Find o, given that s*o**5 + 4/3*o**4 + 2/3*o + 20/9*o**b + 0 + 8/3*o**3 = 0.
-3, -1, 0
Solve -10/7*d**2 + 8/7 + 20/7*d**3 + 2/7*d**4 - 4/7*d**5 - 16/7*d = 0 for d.
-2, -1, 1/2, 1, 2
Let j = -9/4169 + 312738/29183. Let g(o) be the second derivative of j*o**7 + 27*o - 11/10*o**5 - 8/3*o**6 + 1/3*o**4 + 0 + 0*o**3 + 0*o**2. Factor g(d).
2*d**2*(5*d - 1)**2*(9*d + 2)
Let o be (1/(115/(-4)))/((-976)/11224). Factor 24/5*j - o*j**3 + 8/5*j**2 + 0.
-2*j*(j - 6)*(j + 2)/5
Determine d so that -1174/3*d**2 - 124/3*d + 38/3*d**3 + 0 = 0.
-2/19, 0, 31
Let y(b) = -b**2 - 32 + b + 2*b + 9*b. Let o(l) = -2*l**2 + 24*l - 63. Let a(n) = -n**2 + 85*n + 2091. Let p be a(-20). Let g(u) = p*y(u) + 4*o(u). Factor g(r).
(r - 6)**2
Let q(g) be the second derivative of g**7/147 + g**6/35 - 11*g**5/70 - g**4/14 + 10*g**3/21 - 10*g + 1. Determine j, given that q(j) = 0.
-5, -1, 0, 1, 2
Let h(p) be the first derivative of p**6/30 - 21*p**5/10 + 397*p**4/12 + 154*p**3 + 242*p**2 - 64*p - 6. Let c(o) be the first derivative of h(o). Factor c(i).
(i - 22)**2*(i + 1)**2
Let w be 31/5 - 9/45. Let c be ((-116)/w)/(12/(-36)). Factor -189*z**2 + 23 + 111 + c + 147*z**3 - 144*z.
3*(z + 1)*(7*z - 8)**2
Solve 147/8 - 3/8*l**2 + 0*l = 0.
-7, 7
Let t = -42358/115 + 8513/23. Suppose -21/5*r**3 + t*r**4 - 6/5*r + 19/5*r**2 - 1/5*r**5 + 0 = 0. What is r?
0, 1, 6
Let k(h) = 9*h**3 - 99*h**2 - 690*h + 477. Let l(x) = -18*x**3 + 196*x**2 + 1392*x - 953. Let v(f) = 7*k(f) + 3*l(f). Factor v(p).
3*(p - 16)*(p + 5)*(3*p - 2)
Let t be -1 - (-11 + 9 - -1). Let f(w) be the second derivative of -1/5*w**5 + 0*w**3 - 1/3*w**4 + t*w**2 + 0 + 4*w. Factor f(o).
-4*o**2*(o + 1)
Factor 188*n + 5/2*n**2 + 75/2.
(n + 75)*(5*n + 1)/2
Let w(d) be the second derivative of 0 + 0*d**2 - 14*d + 512/39*d**4 + 544/65*d**5 + 1/273*d**7 + 0*d**3 + 1/3*d**6. Determine c, given that w(c) = 0.
-32, -1, 0
Suppose -5*h + 38 = n, 215*n - 30 = 212*n - 3*h. Let f(c) be the first derivative of 0*c + 1/20*c**5 - 1/16*c**4 + 13 - 1/12*c**n + 1/8*c**2. Factor f(b).
b*(b - 1)**2*(b + 1)/4
Let k(b) = -18*b + 55. Let a(o) = 180*o - 549. Let g(w) = 2*a(w) + 21*k(w). Let y be g(3). Factor -3/2*s**y - 3/2*s**4 + 3 + 9/2*s**2 + 15/2*s.
-3*(s - 2)*(s + 1)**3/2
Let l be 5338/(-1099) + (-1665)/(-252). Determine h so that l*h**3 + 15/4*h**2 + 1 + 13/4*h + 1/4*h**4 = 0.
-4, -1
Let a(b) be the third derivative of b**6/30 - b**5/15 - 65*b**4/6 + 150*b**3 - 9*b**2 + 3. Solve a(f) = 0 for f.
-9, 5
Let j(w) = -20*w**2 - 591*w - 562. Suppose -2*g - g + 5*y = 52, -y + 14 = -g. Let k(h) = -5*h**2 - 148*h - 141. Let p(a) = g*k(a) + 2*j(a). Factor p(u).
5*(u + 1)*(u + 29)
Let n = -3150 + 3162. Let t(b) be the first derivative of 2/3*b**6 - n + 5*b**4 + 0*b + 0*b**2 - 8/3*b**3 - 16/5*b**5. Let t(z) = 0. What is z?
0, 1, 2
Let p be 15/(-6)*(-658)/35. Let s = 52 - p. Factor -5*u**3 + 12*u**4 - s*u**3 - 7*u**4.
5*u**3*(u - 2)
Let l(a) be the third derivative of a**8/1680 - a**7/350 - a**6/150 + a**2 + 250. Factor l(w).
w**3*(w - 4)*(w + 1)/5
Suppose 3 = -m - 5*c, 3*m - 2*c - 2 - 6 = 0. Suppose -8 = -m*z - s, -5*z = -2*s + 3 - 5. Factor -20 + 7 - 25*d - 4*d**2 - 7 - d**z.
-5*(d + 1)*(d + 4)
Let a(m) = m**3 - 69*m**2 + 76*m + 3888. Let l be a(67). Let -6/17*u**l - 106/17*u - 4 = 0. Calculate u.
-17, -2/3
Let f(b) be the third derivative of -b**5/270 - 23*b**4/36 - 134*b**3/27 + b**2 - 1122. Let f(s) = 0. What is s?
-67, -2
Let w(y) = 9*y**3 + 75*y**2 + 153*y + 79. Let v(d) = 14*d**3 + 74*d**2 + 151*d + 79. Let g(c) = 2*v(c) - 3*w(c). Let g(k) = 0. Calculate k.
-1, 79
Suppose 63*n - 4 = 62*n. Find f, given that 31 - 59*f**4 - 140*f + 130*f**2 - 87*f**3 + 102*f**3 + 14*f**n + 9 = 0.
-2, 2/3, 1
Let c(o) be the third derivative of 0 - 35/24*o**4 + 66*o**2 + 1/24*o**6 + 10/3*o**3 + 1/6*o**5 - o. Suppose c(u) = 0. Calculate u.
-4, 1
Suppose 26705929 -