/5*g + 0 - 40*g**2 = 0 for g.
-21, -8, 0
Let q = -128 - -129. Let z = q - -44. Find y, given that -5 + z*y + 17 + 14 + 14 + 5*y**2 = 0.
-8, -1
Let j = -1477439/80 + 18468. Let g(w) be the second derivative of -23*w + 0 + 3/20*w**5 + j*w**6 - 5/2*w**3 + 75/16*w**2 + 3/16*w**4. Factor g(x).
3*(x - 1)**2*(x + 5)**2/8
Let k(c) be the first derivative of -c**3/3 + 37*c**2 - 2197. Solve k(h) = 0 for h.
0, 74
Let u(c) be the second derivative of 21/160*c**5 + 3/16*c**4 + 1/112*c**7 - 1/2*c**3 - 3/40*c**6 + 0*c**2 + 0 + 52*c. Solve u(b) = 0 for b.
-1, 0, 1, 2, 4
Let t(v) be the second derivative of -v**5/90 - 16*v**4/27 - 220*v**3/27 - v - 379. Find u such that t(u) = 0.
-22, -10, 0
Let s be (-2)/5*(-9 - (4 + -8)). Factor -56*t**2 + 106*t**s + 60*t**3 + 30*t**4 + 15*t - 4 + 5*t**5 + 4.
5*t*(t + 1)**3*(t + 3)
Let l(t) be the second derivative of t**6/240 - t**5/160 - 13*t**4/96 + 25*t**3/48 - 3*t**2/4 - 782*t. Factor l(x).
(x - 3)*(x - 1)**2*(x + 4)/8
Let o be 6 + (-1804)/297 + 8480/5130. Let 0 - 20/19*s**2 + o*s**3 - 4/19*s**5 - 16/19*s + 10/19*s**4 = 0. Calculate s.
-2, -1/2, 0, 1, 4
Let n(h) be the first derivative of 9*h**4/2 + 376*h**3/3 + 644*h**2 + 1216*h - 3930. Find c such that n(c) = 0.
-152/9, -2
Let m = -92804/7 - -835348/63. Solve 4/9*o**2 + 4/3 - m*o = 0 for o.
1, 3
Let u(q) be the third derivative of 9480241*q**5/180 - 3079*q**4/12 + q**3/2 - 13423*q**2. Factor u(w).
(3079*w - 3)**2/3
Let g(a) be the second derivative of a**5/10 + 5*a**4/8 + a**3 - a**2 - 994*a - 5. Factor g(b).
(b + 2)**2*(4*b - 1)/2
Let w be 7/(14/(-52)) - 4. Let d = w - -30. What is r in -3/2*r + 3/4*r**2 + d + 3/4*r**3 = 0?
-2, 0, 1
Let f(c) be the first derivative of c**3 - 1098*c**2 + 401868*c - 1891. Solve f(u) = 0.
366
Let n = -1223136 + 3669433/3. Factor -n*l**3 - 8/3*l - 34*l**2 + 0.
-l*(l + 4)*(25*l + 2)/3
Suppose 0 = -5*q - 8*q + 104. Suppose 8 - 21 = -5*s - a, -4*a = q. Solve h**3 - 3*h**s - 2*h**3 - 4*h**3 + 2*h**4 + h**5 = 0 for h.
-4, 0, 2
Let d be (20 - (-3 + 27))/((-12)/20). Factor -d - 16/3*v + 4/3*v**2.
4*(v - 5)*(v + 1)/3
Suppose -2*v - 6 = 0, -j + 16 = -8*v + 13*v. Suppose 116 - 23 = j*s. Solve 16/15*t + 8/15 + 2/3*t**2 + 2/15*t**s = 0 for t.
-2, -1
Let w be ((-68)/40 + 2)*(-125)/(-75). Let g(n) be the first derivative of -w*n**2 + 1 + 1/2*n + 1/6*n**3. Factor g(m).
(m - 1)**2/2
Factor 29*b**2 + 2001 + 38*b**2 - 153*b**2 + 18*b + 42*b**2 + 41*b**2.
-3*(b - 29)*(b + 23)
Let p(y) = 2 - y**2 - 3 + 1 + 26*y + 2. Let n be p(26). Determine w so that -12 + 23 + n*w**3 - 11 - 2*w = 0.
-1, 0, 1
Let x(f) = -15*f + 604. Suppose -43 = -9*r + 317. Let h be x(r). Factor 0 + 2/3*n**h + 2*n**3 + 4/3*n**2 + 0*n.
2*n**2*(n + 1)*(n + 2)/3
Let p(x) be the first derivative of -2*x**6/3 - 832*x**5/35 - 1284*x**4/7 + 15872*x**3/21 - 2048*x**2/7 + 1779. Find q, given that p(q) = 0.
-16, 0, 2/7, 2
Factor 8/3*k - 2*k**2 + 40/9 - 2/9*k**3.
-2*(k - 2)*(k + 1)*(k + 10)/9
Let h(q) be the first derivative of 27*q**3/2 - 489*q**2/2 + 36*q + 741. Solve h(x) = 0.
2/27, 12
Factor -21 - 35*d - 55*d**3 + 87 - 32*d**2 - 57*d**3 + 113*d**3.
(d - 33)*(d - 1)*(d + 2)
Let y(r) = r**3 + 16*r**2 + r + 18. Let i be y(-16). Suppose -2*c + 19 = 3*w, w = -i*c + 4*c - 23. Factor c*h**2 + 10*h - 10*h**2 - 7*h.
h*(h + 3)
Let j(c) be the third derivative of -c**7/350 + 29*c**6/20 - 72*c**5/25 - 29*c**4/4 + 289*c**3/10 - 565*c**2. What is p in j(p) = 0?
-1, 1, 289
Let p(w) be the second derivative of 3*w**5/140 - 45*w**4/4 - 158*w**3/7 + 1387*w. Let p(s) = 0. Calculate s.
-1, 0, 316
Let v(n) be the third derivative of -n**8/504 - 4*n**7/105 - 17*n**6/180 + 19*n**5/45 + 7*n**4/3 + 40*n**3/9 + 2*n**2 - 254. Solve v(p) = 0 for p.
-10, -2, -1, 2
Let o(v) = v**3 - 83*v**2 - 3978*v + 2. Let k be o(117). Factor -2/5*l**4 - 40 - 138/5*l**k + 28/5*l**3 + 56*l.
-2*(l - 5)**2*(l - 2)**2/5
Factor 63*l + 129/2*l**2 + 3/2*l**3 + 0.
3*l*(l + 1)*(l + 42)/2
Let q = 1603826 - 1603824. Factor 2/7*w**q + 6*w - 44/7.
2*(w - 1)*(w + 22)/7
Let n be -3 + 13/5 + 154/35. Let c = 4 - 4. Suppose -3*o**2 + o**n - 6*o**3 - 4*o**4 + c*o**2 + 0*o**4 = 0. What is o?
-1, 0
Solve -245/4*q**3 - 15369/4*q**2 - 1/4*q**4 - 44407/4*q - 14641/2 = 0.
-121, -2, -1
Suppose 0 = 5*a + 7168 - 928. Let y = 16232/13 + a. Factor -2/13*s**2 + y*s + 8/13 - 2/13*s**3.
-2*(s - 2)*(s + 1)*(s + 2)/13
Let d be 5958/351*(-6)/(-108). Let v = d + -13/27. Factor v*u - 2/13*u**2 + 0.
-2*u*(u - 3)/13
Let x(m) = 7*m**2 + 29*m - 10. Let d(v) = -9*v**2 - 28*v + 10. Let q(l) = -l**3 - 10*l**2 - 9*l - 3. Let b be q(-9). Let i(y) = b*x(y) - 4*d(y). Factor i(r).
5*(r + 2)*(3*r - 1)
Let h be (-19*(-20)/190)/1 + 36/(-22). Determine a so that 2/11 + 2/11*a**2 - h*a = 0.
1
Let b be (3/(-5))/(12/(-40)). Let p(c) be the first derivative of 25*c - 9 + c**3 - 34*c + 3*c**b - 7. Find s such that p(s) = 0.
-3, 1
Let r(q) be the second derivative of 8*q**7/21 - 2*q**6 - 268*q**5/5 - 530*q**4/3 - 224*q**3 - 110*q**2 + 6*q - 69. What is x in r(x) = 0?
-5, -1, -1/4, 11
Solve 48 - 4/7*n**3 + 2/7*n**4 - 74/7*n**2 - 20/7*n = 0 for n.
-4, -3, 2, 7
Let c = 8149/3 + -2715. Let s(b) be the first derivative of 5/9*b**3 - c*b**2 - 4/3*b + 30. Factor s(t).
(t - 2)*(5*t + 2)/3
Let c(n) be the first derivative of -5*n**4/4 + 40*n**3 - 585*n**2/2 - 1690*n - 703. Let c(s) = 0. Calculate s.
-2, 13
Let w(m) = 4*m**2 - 7*m - 7. Let z(d) = 14*d - 85. Let g be z(6). Let t be w(g). Factor t*y + 10 + 2/5*y**2.
2*(y + 5)**2/5
Let u(m) be the third derivative of 4*m**2 - 1/300*m**6 + 3 - 1/12*m**4 + 0*m**3 + 0*m + 1/25*m**5. What is w in u(w) = 0?
0, 1, 5
Let z(r) be the second derivative of 8 - 1/10*r**4 - 1/75*r**6 + 0*r**3 + 0*r**2 - 3*r - 2/25*r**5. Solve z(t) = 0 for t.
-3, -1, 0
Suppose 164610*q - 235*q**3 - 57907*q**2 - 56*q**3 - 524*q**3 + q**4 + 223555*q**2 + 1854*q = 0. What is q?
-1, 0, 408
Let u(x) = -132*x + 243. Let b be u(3). Let t be ((-240)/(-54))/(-10) + (-104)/b. Let 2/17*a**4 + 0 - t*a**3 + 0*a + 0*a**2 = 0. What is a?
0, 2
Suppose 15*i - 10*i + 5 = 0, 4*d + 2*i - 22 = 0. Factor -1/3*j**3 - 4/3*j**2 + d + j.
-(j - 2)*(j + 3)**2/3
Factor 1/2*p**4 - 14*p - p**3 - 6 - 19/2*p**2.
(p - 6)*(p + 1)**2*(p + 2)/2
Let p(f) be the second derivative of f**5/190 + f**4/19 - 21*f**3/19 + 108*f**2/19 - 1310*f + 1. Factor p(h).
2*(h - 3)**2*(h + 12)/19
Let a = -402196 + 402200. Factor -2/5*v**2 + 22/5*v - a.
-2*(v - 10)*(v - 1)/5
Let m be -11 + 9 - (-8)/2. Let -4*s**5 + 268*s - 264*s + 7*s**4 + s**4 + 0*s**2 - 8*s**m = 0. What is s?
-1, 0, 1
Let l(m) be the second derivative of 0 - 2*m + 2/3*m**4 - 3/2*m**3 + 4*m**2. Let s(u) = u**2 - u + 1. Let w(n) = 2*l(n) - 14*s(n). Let w(i) = 0. Calculate i.
1
Let f(k) be the third derivative of -1/30*k**6 - 4/105*k**7 - 1/84*k**8 + 0*k**4 + 0 + 0*k**5 + 0*k + 48*k**2 + 0*k**3. Factor f(j).
-4*j**3*(j + 1)**2
Let v(o) = o**2 - 51*o + 90. Let b(a) = 368*a + 18*a**2 - 17*a**2 - 810 - 11*a**2 + 92*a. Let j(l) = -4*b(l) - 35*v(l). Factor j(p).
5*(p - 9)*(p - 2)
Suppose 725*m = 685*m + 480. Let y(i) be the second derivative of 0 - 1/200*i**5 - 2/5*i**3 - m*i - 3/40*i**4 - 4/5*i**2. Factor y(n).
-(n + 1)*(n + 4)**2/10
Let f(z) = -166*z - 286. Let l(b) = b**2 - 172*b - 279. Let m(r) = -3*f(r) + 2*l(r). Solve m(u) = 0 for u.
-75, -2
Let p(w) be the first derivative of w**6/2880 - w**5/96 + 25*w**4/192 + w**3/3 - 55*w - 70. Let x(o) be the third derivative of p(o). Factor x(r).
(r - 5)**2/8
Let v(f) be the first derivative of 5*f**4/12 + 65*f**3/6 - 35*f**2 - 5*f + 79. Let o(j) be the first derivative of v(j). Factor o(i).
5*(i - 1)*(i + 14)
Let t = 470 + -472. Let c be ((-15)/(-3) - 5)/t. Solve -9/2*l**2 + c - 1/2*l**4 - 2*l - 3*l**3 = 0 for l.
-4, -1, 0
Let x(c) be the first derivative of -c**6/6 - 2*c**5 - 23*c**4/4 - 14*c**3/3 + 5906. Find n, given that x(n) = 0.
-7, -2, -1, 0
Let o(k) = k**3 - 4*k**2 - 4*k - 2. Let q be o(5). Let f = 68859 - 206573/3. Factor -f*p + 0 - 2/3*p**2 + 2/3*p**q.
2*p*(p - 2)*(p + 1)/3
Let a be (-5 - (-4)/(-1))/((-1)/1). Find r such that a*r + 53*r**3 + 29*r**2 - 41*r**2 - 50*r**3 = 0.
0, 1, 3
Factor 0 - 2/7*r**3 - 8/7*r**2 + 10/7*r.
-2*r*(r - 1)*(r + 5)/7
Suppose -41*i - 195 = -157 - 161. Factor -2/15*j + 0 - 2/15*j**4 - 2/5*j**i - 2/5*j**2.
-2*j*(j + 1)**3/15
Let q(n) be the third derivative of n**5/160 - 13*n**4/96 - 5*n**3/2 - 1077*n