se p = x + 4*x + 5*n, -2*n = -8. Suppose 3*r**x - 3*r**5 - 58*r + 58*r = 0. Calculate r.
0, 1
Let g(q) be the first derivative of -2*q**6/15 + 14*q**5/5 - 20*q**4 + 48*q**3 + 34*q + 33. Let i(f) be the first derivative of g(f). Factor i(m).
-4*m*(m - 6)**2*(m - 2)
Let k(b) = 4*b**2 - 8*b. Suppose 0 = -j - j - 10. Let l = -241 + 247. Let u(r) = 3*r**2 - 7*r. Let s(y) = j*k(y) + l*u(y). Determine g, given that s(g) = 0.
-1, 0
Find k such that -88/9*k**3 - 68/9*k + 8/9 + 148/9*k**2 = 0.
2/11, 1/2, 1
Determine q so that -3/5*q**2 + 33*q + 342/5 = 0.
-2, 57
Let s be (3 - 3)*11/22. Let l(w) be the third derivative of -16/3*w**3 - 27*w**2 + 0*w + 0*w**4 + 1/35*w**7 + s - 4/15*w**6 + 4/5*w**5. Factor l(i).
2*(i - 2)**3*(3*i + 2)
Let k be 9744/24128 + 3*(-10)/195. Factor 0 + k*f**4 + 7/4*f**3 + 11/4*f**2 + 5/4*f.
f*(f + 1)**2*(f + 5)/4
Suppose -5*y - 22 = -d, 0 = d + 4*y - 7*y - 14. Factor 368*h**2 - 120*h**2 - 128*h**2 - 125*h**d - 5*h.
-5*h*(h + 1)
Factor -10*b - 78*b + 3500 - 40*b**2 - 2*b**4 - 3500 + 46*b**3.
-2*b*(b - 22)*(b - 2)*(b + 1)
Let h(b) be the first derivative of 7*b**6/2 - 159*b**5/5 + 87*b**4 - 52*b**3 - 72*b**2 + 337. Solve h(x) = 0.
-3/7, 0, 2, 4
Let k(i) be the third derivative of i**7/70 - 43*i**6/20 + 1761*i**5/20 + 473*i**4 + 968*i**3 - 2*i**2 - 449. Solve k(v) = 0.
-1, 44
Let o(j) be the second derivative of j**5/20 - 559*j**4/3 + 624962*j**3/3 - 982*j + 2. Find k such that o(k) = 0.
0, 1118
Suppose -9*m + 5 = -40. Suppose m*o = i + 55, 5*o + 2*i - i - 55 = 0. Factor z**2 + 13*z**4 + 22*z**4 - o*z**3 + 0*z**2 - 10*z**5 - 15*z**5.
-z**2*(z - 1)*(5*z - 1)**2
Let k(o) be the first derivative of 2/5*o**5 + 13*o**4 + 112*o**3 + 116 - 338*o - 26*o**2. Factor k(d).
2*(d - 1)*(d + 1)*(d + 13)**2
Determine t so that 703/4*t + 525/4 + 179/4*t**2 + 1/4*t**3 = 0.
-175, -3, -1
Let l(u) be the second derivative of u**6/90 - 11*u**5/20 + 5*u**4/6 + 32*u**3/9 - u + 310. Factor l(t).
t*(t - 32)*(t - 2)*(t + 1)/3
Let m(z) = z**5 - z**3 + z**2 + z - 1. Let u(f) = -7*f**5 - 7*f**4 - 59*f**3 - 145*f**2 - 86*f + 8. Let g(b) = 24*m(b) + 3*u(b). Let g(r) = 0. What is r?
-3, -2, -1, 0, 13
Let h = 11052 - 11048. Let j(g) be the second derivative of 1/36*g**h + 3/2*g**2 + 35*g - 1/3*g**3 + 0. Factor j(v).
(v - 3)**2/3
Solve 28*o + 6/5 - 152/5*o**5 + 12/5*o**3 + 298/5*o**4 - 304/5*o**2 = 0.
-1, -3/76, 1
Factor -44/9*m**2 - 76/9*m + 8/3.
-4*(m + 2)*(11*m - 3)/9
Suppose 664*z + 297 = 836 + 789. What is f in -2/7*f**z - 4/7 - 6/7*f = 0?
-2, -1
Let s(m) = -21*m**2 + 7*m - 5. Let p(k) = -17*k**2 + 6*k - 4. Let o(y) = 5*p(y) - 4*s(y). Factor o(a).
-a*(a - 2)
Suppose -82*l + 170*l + 108*l = 0. Let n(p) be the second derivative of 2/57*p**3 + l*p**2 + 15*p + 1/285*p**6 + 2/95*p**5 + 0 + 5/114*p**4. Factor n(q).
2*q*(q + 1)**2*(q + 2)/19
Suppose 15*m - 14*m + 3 = 0, 0 = -2*s - 2*m + 2. Let y = 67/2 + -231/10. Let -4/5*j**s - 16/5 - 48/5*j - 24/5*j**3 - y*j**2 = 0. Calculate j.
-2, -1
Let b(c) be the third derivative of c**6/60 - 23*c**5/15 + 143*c**4/3 - 968*c**3/3 + 143*c**2 + 5*c. Suppose b(w) = 0. Calculate w.
2, 22
Let r = -9/308 + 199/1540. Let f(b) be the second derivative of 1/10*b**6 - 9/10*b**2 - 22*b + 1/70*b**7 - 7/10*b**3 + 9/50*b**5 + 0 - r*b**4. Factor f(u).
3*(u - 1)*(u + 1)**3*(u + 3)/5
Let i = -94157/8 + 11770. Let b be ((-45)/32)/((-3)/4). Factor b*v**2 + 0 - i*v.
3*v*(5*v - 1)/8
Factor 9/2*z - 11 + 1/2*z**2.
(z - 2)*(z + 11)/2
Let c = 13651/6 + -2275. Let g(u) be the second derivative of 0 + u**2 + c*u**4 + 12*u - 2/3*u**3. Factor g(s).
2*(s - 1)**2
Let t(z) be the second derivative of -z**4/36 + 25*z**3/9 - 123*z**2/2 - 1180*z. Factor t(c).
-(c - 41)*(c - 9)/3
Factor -68 - 19*n**2 - 64 - 32 + 250*n - 69*n**2 + 2*n**3.
2*(n - 41)*(n - 2)*(n - 1)
Determine x so that -507*x**4 + 100*x**4 - 596*x**3 - 4*x**5 + 567*x**4 + 728*x**2 - 288*x = 0.
0, 1, 2, 36
Let g = 35673 + -7848041/220. Let y = 9/55 + g. What is w in -1/2*w + y*w**5 + 0 - 1/4*w**4 + 5/4*w**2 - 3/4*w**3 = 0?
-2, 0, 1
Determine t, given that -4*t**4 + 551*t**3 + 163356*t**2 - 10464*t + 2065*t**3 + 8*t**4 + 274807*t**2 - 10463*t**2 - 1710864 = 0.
-327, -2, 2
Suppose 19*n - 542 = 598. Suppose 1946 + 4*k**2 - 2030 + 20*k + n*k = 0. Calculate k.
-21, 1
Let a(y) be the first derivative of y**6/40 - 3*y**5/40 - 3*y**4/16 + 30*y - 60. Let z(m) be the first derivative of a(m). Factor z(k).
3*k**2*(k - 3)*(k + 1)/4
Let -8/5 - 14/5*w**3 + 10*w + 44/5*w**2 = 0. Calculate w.
-1, 1/7, 4
Let p(j) be the second derivative of -7*j**4/36 - 37*j**3/3 + 32*j**2/3 + 99*j + 7. Factor p(h).
-(h + 32)*(7*h - 2)/3
Let y = -13921 - -13923. Let m(k) be the third derivative of 4*k**y + 1/150*k**5 + 0*k - 3 - 1/6*k**4 + 3/5*k**3. Factor m(z).
2*(z - 9)*(z - 1)/5
Let o(w) = -5*w**2 - 1700*w + 1955. Let z(i) = 4*i**2 + 1727*i - 1956. Let r(y) = 9*o(y) + 10*z(y). Solve r(s) = 0.
1, 393
Let k(z) be the first derivative of -116 + 2/3*z**3 + z**2 - 7/8*z**4 + 1/5*z**5 + 0*z. Solve k(n) = 0 for n.
-1/2, 0, 2
Let z(y) = 13*y - 364. Let x be z(28). Let u(a) = -a + 1. Let b be u(-3). Solve x*c**2 - c**3 + 0 + 0*c + 1/2*c**b = 0.
0, 2
Let s(i) be the second derivative of i**5/45 + 361*i**4/27 + 64798*i**3/27 - 65522*i**2/9 + 57*i - 10. Factor s(j).
4*(j - 1)*(j + 181)**2/9
Suppose 2 = 4*c + 18, 4*c = 2*z - 148. Let i = -62 + z. Solve 86*w**4 - 56*w + 12*w**i + 48*w**3 + 8*w**3 - 3 - 90*w**2 - 5 = 0.
-1, -2/7, 1
Factor -72/7*p**2 + 0 - 2*p**4 + 96/7*p**3 + 0*p.
-2*p**2*(p - 6)*(7*p - 6)/7
Suppose 4685*o + 5 + 4389845/4*o**2 = 0. What is o?
-2/937
Let i(w) be the third derivative of w**8/84 + 152*w**7/105 + 37*w**6/5 + 44*w**5/3 + 73*w**4/6 + 2*w**2 - 208*w. Determine n, given that i(n) = 0.
-73, -1, 0
Suppose 76*w**2 - 10*w**4 - 2*w**5 + 12*w**3 - 2459 + 122*w + 1249 - 36*w + 1240 = 0. Calculate w.
-5, -1, 3
Let u = -1729504 - -1729506. Find q such that 54*q**4 - 24*q + 24*q**3 - 154/3*q**u - 8/3 = 0.
-1, -2/9, 1
Let h(k) be the second derivative of -k**7/56 - k**6/40 + 129*k**5/80 + k**4/16 - 21*k**3/4 + 2*k - 25. Determine r, given that h(r) = 0.
-7, -1, 0, 1, 6
Factor 294*d + 614*d - 45*d**2 + 182 - 2234 - 260*d - d**3.
-(d - 6)**2*(d + 57)
Determine o, given that 0 - 2/11*o**5 + 6*o**3 - 34/11*o**2 + 0*o - 30/11*o**4 = 0.
-17, 0, 1
Factor 0 + 10/3*c**4 + 0*c - 13*c**2 + 127/3*c**3.
c**2*(c + 13)*(10*c - 3)/3
What is b in -34*b**4 + 126*b**3 + 8*b**4 + 8*b**4 - 88*b**2 - 30*b + 10*b**4 = 0?
-1/4, 0, 1, 15
Let s(i) = 24*i - 19. Let g be s(1). Determine m so that -24119*m**4 - 3*m**g + 24211*m**4 - m**5 = 0.
0, 23
Let q(f) = -49*f**3 + 371*f**2 + 144*f - 76. Let i(r) = 99*r**3 - 743*r**2 - 289*r + 153. Let z(p) = -8*i(p) - 15*q(p). Determine n so that z(n) = 0.
-2/3, 6/19, 7
Factor -1584/7*p**2 - 36799488/7 + 2/7*p**3 + 418176/7*p.
2*(p - 264)**3/7
Let h(n) be the first derivative of -15*n + 37 - 95/6*n**3 - 145/4*n**2 + 5/2*n**4. Determine b so that h(b) = 0.
-1, -1/4, 6
Let l = -443 - -445. Find r such that 4*r**3 + 164*r + 15*r**l - 63*r**2 - 1114 + 994 = 0.
1, 5, 6
Let n(s) be the third derivative of s**5/30 - 277*s**4 + 920748*s**3 - 334*s**2. Determine u, given that n(u) = 0.
1662
Let d(n) be the third derivative of -103*n**2 + 1/15*n**5 + 0 + 20/3*n**4 + 800/3*n**3 + 0*n. Factor d(a).
4*(a + 20)**2
Let w(n) = n**3 + 18*n**2 + n + 22. Let m be w(-18). Factor 2*l - 16*l**2 - 16*l - 4*l**3 - 6 - 13*l**4 + 2 + 17*l**m + 2*l**5.
2*(l - 2)*(l + 1)**4
Let 1314*f**2 + 194*f**3 + 1804*f**3 + 120*f**5 + 1117*f**4 - 112 + 2*f**3 - 20*f - 32*f**4 - 187*f**4 = 0. Calculate f.
-4, -7/3, -1, -2/5, 1/4
Let s(t) = -10*t**3 + 5. Suppose 3*c + 15 = -0*c. Let w(m) be the first derivative of -m**3/3 + m**2/2 - m - 8. Let d(f) = c*w(f) - s(f). Factor d(z).
5*z*(z + 1)*(2*z - 1)
Let z = 429164/500675 - 2/71525. Factor -18/7*i + 10/7 + z*i**2 + 2/7*i**3.
2*(i - 1)**2*(i + 5)/7
Suppose -557*q = -1126*q + 562*q + 14. Let b(w) be the first derivative of -2/5*w**q + 1/5*w**4 + 35 + 8/5*w - 4/5*w**3 + 4/25*w**5. Factor b(y).
4*(y - 1)**2*(y + 1)*(y + 2)/5
Let t be ((-3)/(-11))/(1320/19360). Let c(a) be the second derivative of 4/3*a**3 - 7*a + 0*a**2 + 0 - 1/3*a**t. Factor c(b).
-4*b*(b - 2)
Let w(c) be the second derivative of 0*c**2 + 5/12*c**4 + 3 + 14*c + 25/6*c**3. Let w(t) = 0. What is t?
-5, 0
Let l = -867286 - -867288. Factor -16/7*f 