r**2.
(r - 25)*(r - 16)**2
Let x(s) be the third derivative of -51*s**2 + 1/300*s**6 + 0*s + 14/75*s**5 + 2*s**3 + 0 - 59/60*s**4. Find p such that x(p) = 0.
-30, 1
Factor 775*x**2 + 73 + 1517*x**3 - 158*x - 832*x - 5*x**4 - 1697*x**3 + 148 + 179.
-5*(x - 2)*(x - 1)**2*(x + 40)
Factor 375*q**3 + 140998*q**2 + 1/3*q**4 + 52313624 + 53572508/3*q.
(q + 3)*(q + 374)**3/3
Suppose -4*k + 19 = 3*l, 33 = -5*l + k + 57. Let z be -1*(4/((-10)/l) - -2). Factor 0 + 0*t + 1/9*t**3 + z*t**2.
t**3/9
Let j(z) be the second derivative of z**8/336 - z**7/84 + z**6/72 - 2*z**3/3 + 2*z**2 + 12*z. Let d(m) be the second derivative of j(m). Factor d(t).
5*t**2*(t - 1)**2
Let h(s) be the second derivative of -1/8*s**2 + 1/12*s**3 - 2*s - 23 - 1/48*s**4. Factor h(b).
-(b - 1)**2/4
Let q(v) = -3*v**3 + 29*v**2 + 5*v - 5. Let a(f) = 2*f**3 - 14*f**2 - 3*f + 3. Let t be 2 - ((-56)/49)/(6/21). Let r(g) = t*q(g) + 10*a(g). Factor r(n).
2*n**2*(n + 17)
Let i(o) = 6*o**3 - 19*o**2 + 6*o + 31. Let c be i(6). Let x = c - 679. Factor 0 + x*s - 2/7*s**2.
-2*s**2/7
Let x(s) be the third derivative of s**6/72 - 16*s**5/3 + 635*s**4/24 - 475*s**3/9 + 2*s**2 + 26*s. Let x(d) = 0. What is d?
1, 190
Suppose 0*o + 2*o + 4*s - 262 = 0, -3*s = -3*o + 411. Suppose -17*w + 20*w = o. Factor 24*d - 35 + 4*d**3 + 13*d**2 + w + 5*d**2.
2*(d + 1)**2*(2*d + 5)
Let a be (8 - (11 - -2)) + (-1 - -46). Suppose 124*g**2 + 19138 - 19130 + 74*g + 18*g + a*g**3 = 0. What is g?
-2, -1, -1/10
Suppose 62*j - 18 = 53*j. Suppose -j*c = 2*m + 10, -5*c = 17 + 8. Factor 3/2*i**3 + m*i + 0*i**2 + 3/8*i**5 + 0 + 3/2*i**4.
3*i**3*(i + 2)**2/8
Let g(t) be the first derivative of -5*t**4/4 - 1675*t**3/3 + 431. Find x such that g(x) = 0.
-335, 0
Suppose 4*v + 29916 = -4*g + 29892, 0 = v - 4*g - 24. Determine n, given that -28*n**4 + 1/2*n**5 + 0*n + 392*n**3 + v + 0*n**2 = 0.
0, 28
Let h(r) = 6*r**2 + 156*r - 147. Let u = -475 - -478. Let q(z) = 5*z**2 + 153*z - 148. Let p(n) = u*q(n) - 2*h(n). Factor p(f).
3*(f - 1)*(f + 50)
Let m(j) be the first derivative of 64 - 3/2*j**2 - 1/6*j**3 - 5/2*j. Factor m(c).
-(c + 1)*(c + 5)/2
Suppose 31*p - 27 = 28*p. Suppose -h - p = -11. Factor 1/3 + 5/6*f + 2/3*f**h + 1/6*f**3.
(f + 1)**2*(f + 2)/6
Factor -30*t - 99*t + 8*t - 35*t - 70*t + 14*t**2 + 210 + 2*t**3.
2*(t - 7)*(t - 1)*(t + 15)
Let y(m) be the second derivative of m**5/160 - 3*m**4/64 + m**3/8 - 32*m**2 - 3*m + 2. Let f(o) be the first derivative of y(o). Let f(v) = 0. What is v?
1, 2
Suppose 24*d - 1124 = -1028. Let 2/25*k**3 - 4/25 - 2/5*k + 2/25*k**d - 6/25*k**2 = 0. Calculate k.
-1, 2
Let a(m) = 14*m**2 + 9207*m + 4241199. Let g(s) = -3*s**2 + s + 2. Let q(u) = -a(u) - 3*g(u). Let q(k) = 0. What is k?
-921
Let o(m) be the first derivative of 4*m**3/3 - 266*m**2 - 3336*m - 999. Factor o(b).
4*(b - 139)*(b + 6)
Let w be (-18)/(-16) + -70*273/(-50960). Factor -5/2*t**2 - 1/2*t**3 + 1/2*t**4 + 0 - w*t.
t*(t - 3)*(t + 1)**2/2
Let o(t) = 4*t**2 - 3*t + 2. Let i be o(1). Let 0*h**i + h**3 - 5364*h + 7*h**2 + 5413*h + 7*h**2 = 0. Calculate h.
-7, 0
Let j be 8/(-28) - 4/21*-12. Let u be (-1 - 441/(-91)) + j*-1. Factor -u*l - 8/13 - 10/13*l**2.
-2*(l + 2)*(5*l + 2)/13
Let h = -853251/5 - -170658. Factor 42/5 - 3/5*x**2 - h*x.
-3*(x - 1)*(x + 14)/5
Let m(h) be the second derivative of h**6/180 - 17*h**5/360 - h**4/9 + 5*h**3/36 + 25*h**2/2 - 45*h. Let j(a) be the first derivative of m(a). Factor j(f).
(f - 5)*(f + 1)*(4*f - 1)/6
Let n = 53 + -53. Suppose 0 + 10 = 2*k, n = -4*t - k + 9. Factor t - 3*a**2 - 4*a - 2*a + 1 + 7*a**2.
2*(a - 1)*(2*a - 1)
Let b(v) be the second derivative of 121*v**4/36 - 682*v**3/3 + 5766*v**2 + 11745*v. Let b(p) = 0. What is p?
186/11
Let r(v) = 19805*v**3 + 1960875*v**2 - 374040*v + 18060. Let n(k) = -4401*k**3 - 435750*k**2 + 83120*k - 4014. Let g(s) = 40*n(s) + 9*r(s). Factor g(c).
5*(c + 99)*(21*c - 2)**2
Let z(u) be the first derivative of 2/27*u**3 + 2/9*u - 1 + 2/9*u**2. Solve z(n) = 0.
-1
Let a(d) be the second derivative of -5*d**7/84 + 5*d**5/8 - 5*d**3/3 + 5*d - 1. What is n in a(n) = 0?
-2, -1, 0, 1, 2
Solve 1808*b - 492*b**2 - 6*b**3 - 2*b**3 - 144 - 636 = 0 for b.
-65, 1/2, 3
Let x be 7 - 7 - (1 + -1). Suppose x = -2*z + z + 4. Factor 4*t**3 + 0*t**3 - 123*t**z + t**5 + 118*t**4.
t**3*(t - 4)*(t - 1)
Let h be -22 + -46 + 63 + 6 + 1. Find o such that -16/5*o**4 + 172/5*o**h + 116/5*o + 64/5*o**3 + 24/5 = 0.
-1, -1/2, 6
Let l(u) be the third derivative of 11*u**5/240 - 17*u**4/16 + 9*u**3/8 - 1830*u**2. Factor l(g).
(g - 9)*(11*g - 3)/4
Let z = -60013/2 - -30007. Solve 1/4*s**5 + 7/2*s**3 + 4*s**2 + 9/4*s + z + 3/2*s**4 = 0 for s.
-2, -1
Let y be (-11711)/(-24) + (45/27)/(-5). Let z = 488 - y. Solve 0*n + 3/8 - z*n**2 = 0.
-1, 1
Suppose -6*m = 54 - 66. Factor -12*o - 2 + 13 - 4*o**m + 3 + 2.
-4*(o - 1)*(o + 4)
Let n be -21*(-3)/9 + (-20)/4. Let y(q) be the third derivative of 1/360*q**6 + 1/18*q**3 - 1/72*q**4 + 0*q + 0 - 1/180*q**5 - n*q**2. Factor y(m).
(m - 1)**2*(m + 1)/3
Let w(a) = 33*a**2 - 34*a + 169. Let b(y) = -4*y**2 + y. Let q(r) = -40*b(r) - 5*w(r). Factor q(o).
-5*(o - 13)**2
Let k(x) = 7*x**2 - 84*x + 374. Let a(j) = 26*j**2 - 308*j + 1371. Let i(h) = 10*a(h) - 37*k(h). Solve i(z) = 0 for z.
-32, 4
Let 1/2*n**4 + 9*n**2 - 7/2*n**3 + 4 - 10*n = 0. What is n?
1, 2
Find h, given that 115*h + 100 - 4*h**2 - 395 - 412 - 157 + 325*h = 0.
2, 108
Let w(n) be the first derivative of 3*n**5/20 - 9*n**4/16 - 27*n**3/4 + 81*n**2/8 + 243*n/2 + 5670. Factor w(s).
3*(s - 6)*(s - 3)*(s + 3)**2/4
Let a be 58/44 + 9 + 485/(-55). Let o(u) = -8*u + 635. Let m be o(79). Solve -9/2*f**4 - 21/2*f**m - 3/4*f**5 - 27/4*f - a - 12*f**2 = 0.
-2, -1
Let c = -435 - -476. Factor -c*d**4 - 16*d**3 + d**5 + 26*d**3 + 30*d**4.
d**3*(d - 10)*(d - 1)
Suppose 0 = -2*t + 5*o - 16, -75*o + 78*o - 6 = 3*t. Let r(i) be the second derivative of 1/15*i**4 + 0 + 2/5*i**t - 17/30*i**3 + 24*i. What is z in r(z) = 0?
1/4, 4
Suppose 1016*k - 990*k + 3 - 3 = 0. Let l(a) be the second derivative of 19*a + 1/90*a**4 - 4/45*a**3 + k + 1/5*a**2. Factor l(s).
2*(s - 3)*(s - 1)/15
Let q = 1402287/4 + -350571. Factor 6*d**2 + q*d**4 - 12*d + 0 + 21/4*d**3.
3*d*(d - 1)*(d + 4)**2/4
Let f(q) be the second derivative of -q**5/40 + 19*q**4/16 - 9*q**3/2 + 23*q**2 - 42*q. Let b(t) be the first derivative of f(t). Factor b(d).
-3*(d - 18)*(d - 1)/2
Let m = -151 + 1059/7. Let y(p) = -p**2 + 2087*p - 4168. Let i be y(2). Factor m + 2/7*v**i - 4/7*v.
2*(v - 1)**2/7
Let x be 99/(-6)*(-1088)/288. Let m = -60 + x. Find u such that 0*u**2 - 2 + m*u - 1/3*u**3 = 0.
-3, 1, 2
Let v = -1045357 - -10453571/10. Factor 4/5*y + v*y**2 - 2.
(y - 2)*(y + 10)/10
Let k = 8513 + -485237/57. Let w(d) be the third derivative of k*d**3 - 1/76*d**4 + 0 + 0*d - 19*d**2 - 1/570*d**5. Factor w(h).
-2*(h - 1)*(h + 4)/19
Factor 0 + 0*a**2 + 0*a - 8/5*a**4 + 6/5*a**3 + 2/5*a**5.
2*a**3*(a - 3)*(a - 1)/5
Solve 4*z**2 - 2628 - 114*z + 0*z**2 - 329*z + 915*z - 872 = 0 for z.
-125, 7
Let z = 218 - 167. Factor -27 - 3*l**2 + 0*l**2 - 15 - z*l + 6*l.
-3*(l + 1)*(l + 14)
Find x such that -432/5*x + 428/5 - 8/5*x**5 - 256*x**2 + 852/5*x**4 + 88*x**3 = 0.
-1, 1/2, 1, 107
Let b(s) be the second derivative of -7*s**3 - 1/4*s**4 + 13*s - 1 + 45/2*s**2. Factor b(d).
-3*(d - 1)*(d + 15)
Let b(x) be the third derivative of x**6/180 + 653*x**5/90 - 1309*x**4/36 + 655*x**3/9 + 3*x**2 + 2*x - 111. Let b(j) = 0. What is j?
-655, 1
Let a(u) be the first derivative of 1/8*u**5 - 11*u - 18 - 5/12*u**3 + 0*u**2 - 1/24*u**6 + 5/48*u**4. Let z(v) be the first derivative of a(v). Factor z(b).
-5*b*(b - 2)*(b - 1)*(b + 1)/4
Let r(g) be the first derivative of -2*g**7/105 + 2*g**6/15 - 2*g**2 - g + 44. Let u(h) be the second derivative of r(h). Let u(m) = 0. What is m?
0, 4
Find b such that -10092*b - 58*b**2 - 1/9*b**3 - 585336 = 0.
-174
Let q(n) be the second derivative of -13*n**5/120 + 140*n**4/9 - 1277*n**3/36 + 85*n**2/6 - 5*n - 99. Suppose q(i) = 0. What is i?
2/13, 1, 85
Solve -r**4 + 2790812*r**2 + 364*r - 3*r**3 + 0*r**3 - 2790722*r**2 + 360 = 0 for r.
-9, -2, 10
Let o(f) be the second derivative of 0 + 1/20*f**5 - 1/15*f**6 + 0*f**2 + 1/42*f**7 + 0*f**4 - 85*f + 0*f**3. Factor o(q).
q**3*(q - 1)**2
Let n(l) = -246*l**3 - 3069*l**2 - 8019*l - 1092. Let t(o) = -19*o**3 - 23