o**5 - 264/5*o**2 - 148/5*o**3 + 0 - 6*o**4 = 0.
-6, -2, -1, 0
Let c(i) = -25*i**2 + 56285*i - 79242265. Let f(y) = -61*y**2 + 140714*y - 198105661. Let u(q) = 12*c(q) - 5*f(q). What is s in u(s) = 0?
2815
Let j = -476985 - -476987. Find c such that 27/2*c - 13/2 - c**j = 0.
1/2, 13
Let f(a) = 3*a**2 - 72*a - 39. Let o(g) = -69*g**2 - 64*g**2 + 137*g**2 - 73*g - 39. Let n(b) = -2*f(b) + 3*o(b). Let n(c) = 0. What is c?
-1/2, 13
Let c be 5/((-100)/12)*-185. Suppose 4*y - c = -7. Let q(h) = -8*h**2 + 13*h - 5. Let j(l) = -2*l**2 + 3*l - 1. Let o(a) = y*j(a) - 6*q(a). Factor o(k).
-4*(k - 1)*(k + 1)
Let a(c) be the first derivative of -2*c**5/95 - 4*c**4/19 - 28*c**3/57 + 8*c**2/19 + 30*c/19 - 10. Solve a(x) = 0.
-5, -3, -1, 1
Let f(h) be the second derivative of 5/2*h**3 + 0*h**2 + 1 + 95*h - 1/40*h**5 - 7/24*h**4. Find k, given that f(k) = 0.
-10, 0, 3
Let c(h) = h**2 - 14. Let f(w) = -14*w**2 + 512*w + 682. Let o(i) = -12*c(i) - f(i). Determine m so that o(m) = 0.
-1, 257
Factor 72*l**3 + 78*l**2 - 203*l**4 - 72*l - 66*l - 512 + 207*l**4 - 150*l + 34*l**2.
4*(l - 2)*(l + 2)**2*(l + 16)
Suppose -4*g = -5*a - 153, 13 = g + 3*a - 4. Let -11*r**2 + g*r**3 + 4*r**4 - 81*r**5 + 73*r**5 - 5*r**2 = 0. Calculate r.
-2, 0, 1/2, 2
Suppose 2*w + m - 40 = -13, 5*m = 5*w - 90. Suppose -2*c + i + 19 = w, 10 = 5*c - 8*i. Factor -1/5*o**3 + 9/5*o**c + 4/5 - 11/5*o - 1/5*o**4.
-(o - 1)**3*(o + 4)/5
Let b be 104/(-442) + (-1896)/(-2856). Solve 6/7*w**3 - 24/7*w - 36/7 + 3*w**2 - b*w**4 = 0.
-2, -1, 2, 3
Let t = -1124 + 1131. Suppose 2*p - 1 = y, 2*p + 4*y + 5 = t*y. Find v, given that 12/7 - 78/7*v**3 - 17/7*v**p - 45/7*v**4 + 4*v = 0.
-1, -2/3, 3/5
Let q(w) be the second derivative of -35*w**4/12 - 5*w**3/6 + 20*w**2 + 929*w. Factor q(z).
-5*(z - 1)*(7*z + 8)
Let g be 38/(-21)*(-14)/4*(-50)/(-175). Let j(p) be the first derivative of -g*p**3 + 9/7*p + 5/7*p**4 + 23 - 3/35*p**5 + 6/7*p**2. Solve j(s) = 0.
-1/3, 1, 3
Let v(z) = -7*z**3 + 232*z**2 - 2452*z + 6300. Let n(m) = -3*m**3 + 116*m**2 - 1227*m + 3150. Let y(x) = -9*n(x) + 4*v(x). Factor y(i).
-(i - 5)**2*(i + 126)
Let n = 1316273/4 - 329068. Factor 9/8*l**2 + l**3 - n - 15/8*l.
(l - 1)*(l + 2)*(8*l + 1)/8
Let x(t) be the third derivative of -t**6/1080 + t**5/120 - t**4/36 - 71*t**3/6 - 31*t**2. Let c(s) be the first derivative of x(s). Factor c(i).
-(i - 2)*(i - 1)/3
Factor 44/13 + 34/13*g - 10/13*g**2.
-2*(g + 1)*(5*g - 22)/13
Let p(r) = r**3 - 22*r**2 - 25*r + 63. Let s be p(23). Find c such that -s*c**3 + 132*c - 72*c**2 - 40 + 18*c**3 - 9*c**3 - 12*c**3 = 0.
-5, 2/5, 1
Let z(v) be the second derivative of v**4/48 - 6*v**3 - 73*v**2/2 - 453*v - 3. Factor z(a).
(a - 146)*(a + 2)/4
Factor 0 - 8/3*p + 5/3*p**4 - 1/6*p**5 - 11/2*p**3 + 20/3*p**2.
-p*(p - 4)**2*(p - 1)**2/6
Let n(j) be the first derivative of 12*j**5/5 + 105*j**4/4 - 49*j**3 + 15*j**2 + 191. Determine p, given that n(p) = 0.
-10, 0, 1/4, 1
Let m(d) = -d**3 + 2*d**2 - 5*d - 1. Let c(v) = 6*v**3 - 576*v**2 + 366*v + 189. Let r(i) = c(i) - 3*m(i). Factor r(g).
3*(g - 64)*(g - 1)*(3*g + 1)
Let d(l) = -l**2 - 18*l - 84. Let n be d(-8). Let s be 68/16 + n + (-387)/(-180). Factor -57/5*g**2 + s + 12/5*g**3 + 33/5*g.
3*(g - 4)*(g - 1)*(4*g + 1)/5
Let t(h) be the third derivative of -h**2 + 1/2016*h**8 + 1/1260*h**7 + 1/9*h**3 - 1/72*h**5 + 0 + 1/36*h**4 - 1/144*h**6 - 28*h. Let t(d) = 0. What is d?
-2, -1, 1, 2
Let y(h) = 15*h**2 + 98*h - 44. Let k be y(-7). Let v(i) be the first derivative of -8*i**2 - k - 4/3*i**3 - 16*i. Suppose v(j) = 0. What is j?
-2
Let m(a) be the second derivative of a**7/56 - a**6/10 + 3*a**5/40 + a**4/4 - 3*a**3/8 + 14*a - 169. Find x, given that m(x) = 0.
-1, 0, 1, 3
Let w be (-2740)/(-53430) - (-206)/546. Factor 30/7*d**2 - w*d**3 - 48/7*d + 0.
-3*d*(d - 8)*(d - 2)/7
Let o be 15429/36 + (-3)/(-18). Let x be (-12)/16*(-28)/21 + (1 - -1). Solve 735/4*r**2 + 105/4*r + o*r**x + 5/4 = 0.
-1/7
Let f(x) be the third derivative of 0*x + 186*x**2 + 0*x**4 - 1/126*x**7 + 1/45*x**5 + 0 + 1/360*x**6 + 0*x**3. Suppose f(d) = 0. Calculate d.
-4/5, 0, 1
Let n(d) be the second derivative of -d**5/70 - 61*d**4/42 - 320*d**3/7 - 900*d**2/7 + 254*d - 2. Factor n(b).
-2*(b + 1)*(b + 30)**2/7
Let g(w) be the second derivative of w**5/40 + 7*w**4/8 + 3*w**3/2 - 10*w**2 + 3*w - 211. Factor g(d).
(d - 1)*(d + 2)*(d + 20)/2
Let r = -21114 + 21114. Let z(t) be the third derivative of r*t**3 + 5/4*t**4 + 1/24*t**6 + 0*t + 5/12*t**5 + 47*t**2 + 0. Solve z(k) = 0 for k.
-3, -2, 0
Let k be 48/(-132) - 2351/(-143) - (23 - 12). Solve 106/13*u**2 + 36/13*u + k*u**3 + 0 - 4/13*u**4 = 0 for u.
-1, -1/2, 0, 18
Let t be (-1*(0 + -47))/1. Factor -50*p**2 - 2 + t*p**2 + 38*p**2 + 12*p - 27*p**3 - 70 + 19*p**2 + 3*p**4.
3*(p - 6)*(p - 2)**2*(p + 1)
Factor 1/7*s**2 + 76729/7 - 554/7*s.
(s - 277)**2/7
Suppose 9 = x + 11. Let o be (5 + 188/(-28))/x. Factor 8/7*d - o*d**2 - 2/7*d**3 + 0.
-2*d*(d - 1)*(d + 4)/7
Factor -1/11*f**2 - 10/11*f + 21.
-(f - 11)*(f + 21)/11
Let i(z) be the third derivative of -z**7/735 - 53*z**6/1260 - 31*z**5/630 + 53*z**4/252 + 34*z**3/63 - 475*z**2 - z. Suppose i(m) = 0. Calculate m.
-17, -1, -2/3, 1
Let y(x) be the third derivative of 37/330*x**5 - 147*x**2 + 1/33*x**6 + 4/1155*x**7 + 5/22*x**4 + 3/11*x**3 + 0*x + 2. Factor y(l).
2*(l + 1)**2*(2*l + 3)**2/11
Let m(l) = 3*l**2 - 12*l + 30. Let k(c) = -9*c - 246. Let a be k(-28). Let r(o) = -o - 1. Let v(n) = a*r(n) + m(n). Let v(y) = 0. Calculate y.
2, 4
Let j(d) be the second derivative of -247*d + 13/3*d**4 + 0 - 24*d**2 + 11/5*d**5 - 22/3*d**3 - 2/15*d**6. Factor j(r).
-4*(r - 12)*(r - 1)*(r + 1)**2
Let y be (-1)/5 - (-34386)/55. Let h(c) be the first derivative of c**5 + 150*c**3 - 21*c**4 - 500*c**2 + c**4 + 11 + 8 + y*c - 7. Factor h(j).
5*(j - 5)**3*(j - 1)
Let r(f) be the second derivative of f**7/315 - 2*f**6/25 + 59*f**5/150 - 19*f**4/45 - 4*f**3/3 + 56*f**2/15 + 1682*f. Let r(y) = 0. Calculate y.
-1, 1, 2, 14
Let o(d) = -4*d**3 + 12*d**2 + 27*d + 8. Suppose 24*q + 19 - 43 = 0. Let z(j) = j**3 + 2. Let b(u) = q*o(u) + 3*z(u). Let b(h) = 0. Calculate h.
-1, 14
Suppose 0 = -32*y + 21*y + 33. Let z(o) be the first derivative of -3/20*o**4 - 9/5*o + 3/10*o**2 + 3/5*o**y - 6. Factor z(q).
-3*(q - 3)*(q - 1)*(q + 1)/5
Let b(k) be the first derivative of -3*k**4/16 + 137*k**3/2 + 825*k**2/8 - 12470. Determine q so that b(q) = 0.
-1, 0, 275
Let s(q) = 15*q**2 + 370*q - 365. Let b(l) = 4*l**2 + l - 1. Let z(p) = 5*b(p) - s(p). Factor z(g).
5*(g - 72)*(g - 1)
Let u be 1909 + -1914 - (-82)/16. Solve 33/8*o**3 + 5/4*o + 0 + u*o**5 + 31/8*o**2 + 13/8*o**4 = 0.
-10, -1, 0
Let -112/5*q - 2/15*q**2 - 664/15 = 0. Calculate q.
-166, -2
Let o(v) = -v**2 - 9*v - 8. Let l(q) = 9*q + 6. Suppose -3*y - 16 = -25. Let n(x) = y*o(x) + 4*l(x). Let n(b) = 0. Calculate b.
0, 3
Let k(b) be the second derivative of -27*b**5/140 - 37*b**4/14 - 151*b**3/14 - 45*b**2/7 + 6*b - 5. Factor k(x).
-3*(x + 3)*(x + 5)*(9*x + 2)/7
Suppose 36 = -0*t + 12*t. Let o be -1*t*7/(-84). What is p in p - 1/4*p**4 - o*p**3 + p**2 + 0 = 0?
-2, -1, 0, 2
Let p(a) = -a**2 - 3. Let t(i) = -2*i**3 + 46*i**2 - 90*i + 38. Let x(w) = 2*p(w) - t(w). Determine v, given that x(v) = 0.
1, 22
Suppose 3*x = -3 + 12. Let l be 5/((75/10)/x). Let 2*r**2 + 67*r**4 + 3*r**l - 72*r**4 - 5*r**3 + 5*r**5 = 0. Calculate r.
-1, 0, 1
Let f(k) be the third derivative of -k**5/90 + 419*k**4/18 - 175561*k**3/9 - k**2 - 72. Factor f(u).
-2*(u - 419)**2/3
Let n(w) be the second derivative of w**7/840 + w**6/40 + w**5/5 - 139*w**4/12 - 73*w + 1. Let f(v) be the third derivative of n(v). Find y such that f(y) = 0.
-4, -2
Suppose x + 4*x = -4*i + 7, -3*i - 18 = -4*x. Find r such that 64 - 48*r + 7*r**3 - 3*r**3 - 3*r**3 + 3*r**x = 0.
-4, 2
Let w(h) be the second derivative of 1/2*h**4 + 11/3*h**3 - 4*h**2 - 6*h + 0. Let w(j) = 0. What is j?
-4, 1/3
Suppose -80*m + 107*m = -484*m + 2044. Let s(l) be the third derivative of -27*l**2 + 35/48*l**m - 245/24*l**3 - 1/48*l**5 + 0 + 0*l. Factor s(b).
-5*(b - 7)**2/4
Let f be (12091/(-4972) - 18/(-8))*(-2 - 7). Find n such that 0*n + f*n**4 - 18/11*n**3 + 6/11*n**2 - 6/11*n**5 + 0 = 0.
0, 1
Suppose -107*g - 8 = -66*g - 8. Factor -2/7*r**2 + 2*r + g.
-2*r*(r - 7)/7
Let x(g) = -16*g**2 + 240*g - 5060. Let f(h) = -7*