1/3
Let d(q) = -q**3 - 3*q**2 - 2*q - 3. Let c be d(-3). Let r(o) = -o**3 - 13*o**2 - 19*o - 268. Let y be r(-14). Let y - 100 + c*g**2 - 3*g - 94 = 0. Calculate g.
0, 1
Let o(w) be the first derivative of -1/16*w**4 + 5/12*w**3 - 5/4*w + 1/8*w**2 - 94. Factor o(u).
-(u - 5)*(u - 1)*(u + 1)/4
Let q(i) be the first derivative of i**4/8 + i**3/2 - 1292. Let q(r) = 0. Calculate r.
-3, 0
Factor 2/7*h**4 - 183530848/7 + 2144/7*h**3 + 90227456/7*h + 764688/7*h**2.
2*(h - 2)*(h + 358)**3/7
Suppose -7495 = 38*r - 7571. Solve -8/5 - 4*p + 13/5*p**3 + 6/5*p**r - p**4 = 0.
-1, -2/5, 2
Let b(h) be the second derivative of -h**5/90 - 7*h**4/27 - 59*h**3/27 - 70*h**2/9 + 92*h - 13. Suppose b(p) = 0. What is p?
-7, -5, -2
What is m in -4732*m + 8280*m**2 + 676 + 7*m**3 - 49/4*m**4 = 0?
-26, 2/7, 26
Let s be (2 + 0)/(-1) + (-3132)/(-1363). Let b = 428/141 + s. Determine g, given that -20/3*g**5 + 35/3*g**4 - 35/3*g**2 + 10*g**3 - b*g + 0 = 0.
-1, -1/4, 0, 1, 2
Let g be 4 + 9/(18/(-4)). Factor -3*r**2 + 22*r**3 + 3*r**5 - 15*r**3 - 16*r**3 - 3*r**g.
3*r**2*(r - 2)*(r + 1)**2
Let x(n) be the second derivative of -n**4/18 - 2*n**3/9 + 842*n. Find h such that x(h) = 0.
-2, 0
Let k(v) be the third derivative of -v**4 + 0 - 15/4*v**3 - 1/40*v**5 + v**2 + 0*v. What is p in k(p) = 0?
-15, -1
Let h be ((-13)/2 - -4)*77/(-770). Let x be (-1)/(-2) + (-35)/(-14). Factor -1/2*j**2 + 0 - h*j**x - 1/4*j.
-j*(j + 1)**2/4
Factor -22/5*r - 16/5*r**2 + 8 - 2/5*r**3.
-2*(r - 1)*(r + 4)*(r + 5)/5
Find p, given that -2*p**3 - 1195*p**2 + 600*p**2 - 57*p - 36 + 14*p**3 + 631*p**2 = 0.
-4, -1/2, 3/2
Let n be 5 - (-5 + -40) - (-2 + 1). Let o = -41 + n. Factor -97*x**3 + o*x**4 - 69*x**2 - 25*x**4 + 31*x**3 - 18*x.
-3*x*(x + 1)*(x + 3)*(5*x + 2)
Let k(j) = 3*j**2 + 18*j - 4. Let t(v) = -6*v**2 - 36*v + 7. Let z(y) = -y**2 - y + 7. Let c be z(0). Let x(o) = c*k(o) + 4*t(o). Suppose x(d) = 0. What is d?
-6, 0
Solve -63/4*o**2 - 61/4*o**3 + 1/4*o**4 + 31/2 + 61/4*o = 0 for o.
-1, 1, 62
Let w be 7 - (-72 - (-1180)/15). Suppose 4/3*z**3 - 4/3*z - 1 + 2/3*z**2 + w*z**4 = 0. Calculate z.
-3, -1, 1
Let q be (75/10)/(8381/580 - 14). Factor -2/3 + 4/3*b**2 - 92/3*b**3 + 14/3*b - 130/3*b**4 - q*b**5.
-2*(b + 1)**3*(5*b - 1)**2/3
Let y(q) = q**4 + 1125*q**3 - 6749*q**2 + 13424*q - 8908. Let o(l) = -1128*l**3 + 6748*l**2 - 13424*l + 8912. Let z(m) = 5*o(m) + 4*y(m). Factor z(u).
4*(u - 279)*(u - 2)**3
Let c = 34337/30789 + 366/3421. Solve -19/9*i**2 + 8/9 + c*i**4 + 7/9*i**5 + 10/9*i - 17/9*i**3 = 0 for i.
-2, -1, -4/7, 1
Let y be (-2255)/(-8860) + -3 + 33/12. Let i = y - -1762/2215. Find r such that 2*r**3 + i + 18/5*r + 24/5*r**2 = 0.
-1, -2/5
Find b such that -29/3*b**2 - 44 + 128/3*b - 1/3*b**3 = 0.
-33, 2
Factor -4288*j**2 - 4279*j**2 + 8562*j**2 - 905*j.
-5*j*(j + 181)
Determine o so that 2171405/3 - 6590/3*o + 5/3*o**2 = 0.
659
Let x = 49866/11 + -4532. Let z be (-18)/6 - 1/((-1)/5). Factor -32/11 + 16/11*v + 2/11*v**3 + x*v**z.
2*(v - 1)*(v + 4)**2/11
Let a(c) be the second derivative of -53 + 11/12*c**4 - 2*c + 1/40*c**5 + 35/3*c**3 + 50*c**2. Suppose a(k) = 0. Calculate k.
-10, -2
Let -6698*i + 1173*i**3 + 48 - 6881*i + 947*i**2 + 13937*i + 161*i**5 + 697*i**4 = 0. Calculate i.
-24/23, -1, -2/7
Find d such that 10/3*d**2 + 2/3*d**3 - 208*d - 1824 = 0.
-12, 19
Let g(x) be the third derivative of 0 - 3*x**2 - 17*x - 1/140*x**5 - 25/56*x**4 + 0*x**3. Factor g(u).
-3*u*(u + 25)/7
Suppose -2*k + 0*g = -2*g + 6, k - 4*g - 3 = 0. Let w be 0 + (4 - (6 + k)). Factor 5*b**3 + 3*b**2 - b - 18*b**3 + 9*b**w + 2*b.
-b*(b - 1)*(4*b + 1)
Let n(u) = 35*u**3 + 25*u**2 - 90*u + 20. Let c(b) = -6*b - 11. Let y be c(-2). Let i(p) = p. Let m(k) = y*n(k) + 10*i(k). Factor m(l).
5*(l - 1)*(l + 2)*(7*l - 2)
Suppose -3*b + 3*q = 0, -2*b + q - 6 = -4*q. Let 54*z - 6*z**3 + 47*z**b + 44*z**2 + 2*z - 83*z**2 + 32 = 0. Calculate z.
-2, -2/3, 4
Suppose 290*q**5 - 288*q**5 + q**3 - 4*q**4 + q**3 + 0*q**3 = 0. Calculate q.
0, 1
Let o(x) = 5*x**2 - 965*x + 2750. Let h(b) = -b**2 + 161*b - 458. Let q(z) = 25*h(z) + 4*o(z). Let q(d) = 0. What is d?
3, 30
Let y(u) be the second derivative of 3*u**5/5 + 7*u**4/4 - 11*u**3/6 - u + 20. Let v(w) = -w**3 + w. Let b(f) = -22*v(f) - 2*y(f). What is j in b(j) = 0?
-21, 0
Let x(z) = -7*z**3 - 5*z**2 + 62*z + 60. Let n(r) = -20*r**3 - 14*r**2 + 186*r + 180. Let p(g) = 5*n(g) - 14*x(g). Let p(o) = 0. What is o?
-5, -1, 6
Let o = 129120/23 + -1936754/345. Factor -432/5*z - 72/5*z**2 + 36/5*z**3 + 0 + 2*z**4 + o*z**5.
2*z*(z - 3)*(z + 6)**3/15
Let b be 1/(-8) + (-4719)/(-312). Let u(l) be the third derivative of 1/16*l**4 + 0*l - 1/120*l**5 - 1/6*l**3 + 0 + b*l**2. Determine w, given that u(w) = 0.
1, 2
Let v(n) be the third derivative of n**6/660 + 7*n**5/165 + 35*n**4/132 + 2*n**3/3 - 808*n**2 - 2. Factor v(p).
2*(p + 1)*(p + 2)*(p + 11)/11
Determine d, given that 3998*d**2 + 1306 + 14*d**3 + 472 - 56 - 5734*d = 0.
-287, 3/7, 1
Let l = 12/897337 - -334695061/870416890. Let y = l + 3/194. Suppose 6/5 + 2/5*a**2 - 2*a + y*a**3 = 0. Calculate a.
-3, 1
Suppose -3*x - 2*x = 15. Let r be (3/x)/(-1*(-3)/(-3)). Find p, given that 6*p**2 - r - 4 - p**2 + 0 = 0.
-1, 1
Suppose -52*p = -3*r - 55*p, 0 = -r - 2*p. Let t(h) be the second derivative of -5/24*h**4 + r - 7/12*h**3 + 12*h - 1/2*h**2. Factor t(l).
-(l + 1)*(5*l + 2)/2
Let z = -6/383 - -437/3447. Let t(p) be the second derivative of -z*p**4 + 0*p**2 + 2/3*p**3 + 8*p + 0. Let t(b) = 0. What is b?
0, 3
Let p(a) be the first derivative of 101 - 2/21*a**3 + 31/7*a**2 - 116/7*a. Factor p(o).
-2*(o - 29)*(o - 2)/7
Factor -12*p**5 + 57*p**5 + 3*p - 72*p**3 - 129*p**4 - 3*p - 60*p**5.
-3*p**3*(p + 8)*(5*p + 3)
Let g be 6*(0 - 1673/(-14)). Let s = 3597/5 - g. Let -s + 8/5*p + 4/5*p**2 = 0. What is p?
-3, 1
Let b(v) be the first derivative of -v**4/36 - 7*v**3/18 - 68*v - 71. Let h(x) be the first derivative of b(x). Factor h(d).
-d*(d + 7)/3
Let i be 0/((-2)/(-14) - 1188/378). Let l(y) be the first derivative of 3/38*y**4 + 0*y + 13 - 4/57*y**3 + i*y**2. What is b in l(b) = 0?
0, 2/3
Let m(b) = -b**3 - 64*b**2 + 298*b + 1771. Let x be m(-68). What is s in 8/11*s - 4/11*s**2 - 2/11*s**x + 16/11 = 0?
-2, 2
Let m(g) = -4*g - 15. Let u be m(5). Let p be ((-10)/u)/((-12)/14 + 1). Factor -46*r**3 - 3*r**p + 3*r**4 + 0*r**4 + 43*r**3 + 3*r.
3*r*(r - 1)**2*(r + 1)
Let f(c) = 5*c**3 + 4*c**2 - 11*c - 4. Let p(m) = -m**2 + 7 + 27*m - 6*m - 9*m**3 - 7*m**2. Suppose 58*l = 24*l + 374. Let g(x) = l*f(x) + 6*p(x). Factor g(y).
(y - 2)*(y - 1)**2
Let c = 390 + -366. Suppose 107*h**4 - 7*h**4 - c*h**2 - 400*h + 54 - 22 + 292*h**3 = 0. Calculate h.
-2, 2/25, 1
Solve 14*n - 4 + 4*n**2 + 36*n**3 - 5*n**3 - 45*n**3 = 0.
-1, 2/7, 1
Factor -552/7*m + 118/7*m**2 - 2/7*m**3 + 648/7.
-2*(m - 54)*(m - 3)*(m - 2)/7
Factor 37 - 16*l**2 - 46*l + 6*l**2 + 114 + 73 + 12*l**2.
2*(l - 16)*(l - 7)
Let i = -23446 + 23448. What is u in -10/9*u + 2/9*u**i + 4/3 = 0?
2, 3
Let n(o) be the first derivative of -1/14*o**4 + 4/21*o**3 + 13 + 1/7*o**2 - 4/7*o. Factor n(g).
-2*(g - 2)*(g - 1)*(g + 1)/7
Let q(w) be the third derivative of w**5/35 - 767*w**4/42 - 512*w**3/21 - 1692*w**2. Factor q(r).
4*(r - 256)*(3*r + 1)/7
Let i(t) be the second derivative of 0*t**2 - 2/105*t**6 + 1/21*t**4 + 1/21*t**3 + 0*t**5 - 9 - t - 1/147*t**7. Factor i(j).
-2*j*(j - 1)*(j + 1)**3/7
Let s(o) be the first derivative of -2*o**3/15 + 104*o**2 - 27040*o + 853. Factor s(q).
-2*(q - 260)**2/5
Suppose 145*p + 1326 + 1817*p + 621*p**2 - 3*p**4 - 21*p**3 + 3*p = 0. What is p?
-17, -2, -1, 13
Let c = -4201/20 + 1051/5. Let o(s) be the second derivative of 1/2*s**3 + 0 - 3/2*s**2 - c*s**5 - 3*s + 1/4*s**4. Let o(t) = 0. Calculate t.
-1, 1
Let f(s) be the first derivative of -3*s**5/35 + 195*s**4/28 - 186*s**3/7 - 1194. Factor f(g).
-3*g**2*(g - 62)*(g - 3)/7
Let r = 1578 - 1578. Let q be (16/18)/(6/9). Let 2/3*i**2 + 74/3*i**3 - q*i + r - 24*i**4 = 0. Calculate i.
-2/9, 0, 1/4, 1
Factor 4*h**2 + 190*h + 63*h + 3288 + 152*h + 167*h.
4*(h + 6)*(h + 137)
Let t be 2 + 45/(-36) + 30/(-8). Let y(u) = -37*u**2 - 187*u - 62. Let l(f) = -13*f**2 - 62*f - 21. Let a(q) = t*y(q) + 8*l(q). Factor a(k).
(k + 9)*(7*k + 2)
Factor 4/9*m**3 + 14/3*m**2 + 98/9*m - 20/3.
2*(m + 5)*(m + 6)*(2*m - 1)/9
Factor 957*v**2 - 308*v**2 +