s**2.
3*(3*s + 1)**2/7
Let z(o) be the second derivative of -o**6/195 + 10*o**5/13 - 1346*o**4/39 + 3200*o**3/13 - 9216*o**2/13 + 488*o. Factor z(w).
-2*(w - 48)**2*(w - 2)**2/13
Let p(c) be the third derivative of c**5/150 + c**4/20 - 4*c**3/15 - 445*c**2. Factor p(d).
2*(d - 1)*(d + 4)/5
Solve 10/13*g**3 + 112/13*g**2 + 20/13 + 122/13*g = 0 for g.
-10, -1, -1/5
Factor 10*z**3 + 190*z - 1/4*z**4 - 219/2*z**2 - 361/4.
-(z - 19)**2*(z - 1)**2/4
Let g be ((-2)/(-4))/((-4)/36). Let j = g + 5. Find t, given that t + 1/2*t**2 + j = 0.
-1
Let i(k) be the first derivative of 0*k**2 + 0*k**4 + 0*k**3 - 2/15*k**5 - 3 - 1/9*k**6 + 0*k. Factor i(f).
-2*f**4*(f + 1)/3
Let b(h) be the second derivative of h**4/42 - h**3/21 - 20*h**2/7 - 77*h. Solve b(m) = 0 for m.
-4, 5
Let h(f) = 48*f - 46*f - 12*f**2 + 9*f**2 + 5. Let o(u) = u**2 - 2*u - 3. Let l(q) = -3*h(q) - 5*o(q). Let l(d) = 0. What is d?
-1, 0
Let j = 2085/16616 - 1/2077. Suppose -j*z**3 - 9/8*z**2 - 15/8*z + 25/8 = 0. What is z?
-5, 1
Factor 4/13*r + 6/13 - 2/13*r**2.
-2*(r - 3)*(r + 1)/13
Let q be (-316)/(-26) + (8 - 20). Suppose -q + 4/13*x**2 + 2/13*x**5 - 2/13*x**4 + 2/13*x - 4/13*x**3 = 0. What is x?
-1, 1
Let d(t) be the second derivative of -3/100*t**5 + 0*t**3 + 0*t**2 + 0 - 1/70*t**7 - 1/25*t**6 + 0*t**4 - 31*t. Let d(a) = 0. Calculate a.
-1, 0
Let -3/5*f**3 + 0*f + 12/5 - 9/5*f**2 = 0. Calculate f.
-2, 1
Let c(l) = 6*l**4 - 19*l**3 - 67*l**2 - 5*l - 5. Let i(x) = 9*x**4 - 29*x**3 - 101*x**2 - 7*x - 7. Let r(v) = -7*c(v) + 5*i(v). Solve r(u) = 0.
-2, 0, 6
Suppose -5*u = -2*u - 12. Suppose u*a = h + h + 10, 2*h = a - 1. Factor -36*m**4 + 5*m**3 + 7*m**a + 147*m**5 - 36*m**4 - 12*m**4.
3*m**3*(7*m - 2)**2
Suppose 10*z - 20 - 10 = 0. Let d(s) be the second derivative of 1/30*s**4 + 0*s**2 + 5*s + 1/15*s**z + 0. Factor d(v).
2*v*(v + 1)/5
Suppose -27*d = -48*d. Solve d - 1/7*z**3 + 0*z**2 + 1/7*z = 0 for z.
-1, 0, 1
Let a be (1 + (-14)/4)*12/(-10). Factor 4 + w**a + 149*w**2 + 10*w - 141*w**2 + w**3.
2*(w + 1)**2*(w + 2)
Let i = 3 - 3. Suppose 83*y = 106*y. Factor i*t**3 + 1/3*t**5 + 1/3*t**4 + 0*t**2 + 0 + y*t.
t**4*(t + 1)/3
Let l = 95 + -90. Let q(u) be the first derivative of -5 + 2/3*u**3 + u**2 - 1/8*u**4 - 1/10*u**l + 0*u. Factor q(p).
-p*(p - 2)*(p + 1)*(p + 2)/2
Let f(q) be the first derivative of 4*q**5/5 + 6*q**4 + 44*q**3/3 + 12*q**2 - 62. Let f(x) = 0. What is x?
-3, -2, -1, 0
Suppose 51/4*s**2 + 3/4*s**3 + 273/4*s + 441/4 = 0. What is s?
-7, -3
Let t(m) be the second derivative of m**7/840 + m**6/120 + 7*m**4/4 - 41*m. Let r(n) be the third derivative of t(n). Let r(o) = 0. Calculate o.
-2, 0
Find p such that 54*p**2 - 10*p**3 - 6*p**3 - 174 + 14*p**3 + 122*p = 0.
-3, 1, 29
Suppose 2*i - 2*x = -130, 2*i + 44 = -4*x - 74. Let p = 63 + i. Factor 2/7*c**3 + 4/7*c + p - 6/7*c**2.
2*c*(c - 2)*(c - 1)/7
Let l(g) be the first derivative of 3*g**5 - 5*g**4/2 - 125*g**3/3 + 70*g**2 + 60*g - 59. Suppose l(c) = 0. What is c?
-3, -1/3, 2
Suppose 138 + 357 = 15*g. Let t = g - 123/4. Let -1 - 3*n - 1/2*n**3 - t*n**2 = 0. Calculate n.
-2, -1/2
Suppose 0 = 11*u - 19 - 25. Let 44*m**u + m**5 - m**3 - 48*m**4 + 5*m**3 = 0. What is m?
0, 2
Let f(j) = j**3 - 4*j**2 + 3*j + 4. Let a be f(3). Let d be (-3)/(a - (-92)/(-8)). Factor -2/5*k + d*k**4 + 4/5 - 6/5*k**2 + 2/5*k**3.
2*(k - 1)**2*(k + 1)*(k + 2)/5
Let b = 20625/16 + -1287. Let a(f) be the first derivative of -1 - 3*f**3 + 25/8*f**6 + 0*f + 3/2*f**2 + 9/2*f**5 - b*f**4. Factor a(u).
3*u*(u + 1)**2*(5*u - 2)**2/4
Let d(c) be the first derivative of 1/2*c**2 + 0*c + 3 + 0*c**3 + 0*c**5 - 1/40*c**6 + 0*c**4. Let a(y) be the second derivative of d(y). Factor a(q).
-3*q**3
Suppose 7 = 3*h - 2. Let i(p) be the second derivative of 1/48*p**4 + 3/80*p**5 + 0*p**h + 0 + p + 0*p**2. Factor i(j).
j**2*(3*j + 1)/4
Let y = -4 + 7. Let h(c) be the first derivative of -3*c**2 - y - 4*c - 3 - c**3 + 13*c. Factor h(m).
-3*(m - 1)*(m + 3)
Determine d, given that 66/5 - 9/5*d**2 - 93/5*d = 0.
-11, 2/3
Suppose -4*s - 8*s + 36 = 0. Let x be 0*((-9)/(-24))/(s/4). Let -4/7*w**2 + 6/7*w**3 + x - 2/7*w**4 + 0*w = 0. Calculate w.
0, 1, 2
Suppose 0 = -2*m - 5 + 11. Suppose m*w - 4 + 1 = 0. Find v, given that v**3 - 37*v + 36*v - 2*v**2 + w + v**2 = 0.
-1, 1
Let u(n) be the second derivative of n**5/10 - 29*n**4/12 - 31*n**3/6 + 332*n. Suppose u(g) = 0. Calculate g.
-1, 0, 31/2
Solve 0 + 3/2*o**3 + 27/2*o + 15*o**2 = 0.
-9, -1, 0
Let x(m) be the first derivative of -85/2*m**2 - 50/3*m**3 - 40*m - 5/4*m**4 + 9. Solve x(y) = 0 for y.
-8, -1
Let b(o) be the third derivative of o**8/112 + 2*o**7/105 + o**6/120 - 247*o**2. Solve b(v) = 0 for v.
-1, -1/3, 0
Let c = -6849 - -6851. Factor -3/2*p**2 + 1/2*p**4 - p**3 - c + 4*p.
(p - 2)*(p - 1)**2*(p + 2)/2
Let u(v) be the first derivative of 3*v**4/28 + 4*v**3/7 + 122. Factor u(d).
3*d**2*(d + 4)/7
Suppose -5*o = k - 771, -3*k - 2*k + 3975 = o. Find d, given that k*d**3 - 75 + 734*d**3 + 800*d**2 + 730*d**4 + 105*d**5 + 76*d - 15 - 271*d = 0.
-3, -1, -2/7, 1/3
What is l in -2/7*l**3 - 4*l**2 - 10*l - 44/7 = 0?
-11, -2, -1
Suppose 14*r - 12 = 8*r. Let v(l) be the second derivative of 0 + l**r + 7/30*l**6 + l - 3/4*l**4 - 5/6*l**3 + 1/4*l**5. Factor v(n).
(n - 1)*(n + 1)**2*(7*n - 2)
Let f be (-20 + (-500)/(-25))/(1 - 0). Solve -1/3*v**3 + f*v - 1/3*v**2 + 0 = 0.
-1, 0
Suppose -9*u = -4*u + 40. Let v be (-6)/u - 35/420. Factor -v*a**3 + 2/3*a**4 + 0*a + 2/3*a**5 + 0 - 2/3*a**2.
2*a**2*(a - 1)*(a + 1)**2/3
Let i = 9505/3 + -3167. Suppose 14/3*u - i + 8/3*u**2 = 0. What is u?
-2, 1/4
Let t(h) be the second derivative of -h**4/24 - 13*h**3/12 - 15*h**2/2 - 231*h. Find f, given that t(f) = 0.
-10, -3
Let i(t) be the first derivative of 243/40*t**5 + 135/16*t**4 - 32 + 27/16*t**6 + 23/4*t**3 + 3/8*t + 33/16*t**2. Let i(s) = 0. What is s?
-1, -1/3
Let l = 843 - 841. Let b = -2 - -2. Factor 3/5*q**l - 3/5*q + b.
3*q*(q - 1)/5
Suppose 3*m - 18 = -3*d, 4*d + 0*m + 2*m - 22 = 0. Suppose -27 = d*a - 47. Determine w so that a*w + 8/7 + 20/7*w**2 = 0.
-1, -2/5
Let p(q) be the second derivative of q**6/18 + 13*q**5/90 + q**4/12 - 21*q**2 + 30*q. Let h(m) be the first derivative of p(m). Factor h(k).
2*k*(k + 1)*(10*k + 3)/3
Factor 0*q**2 - 2*q**2 - 40 - 6722*q + 6756*q - 18 - 2.
-2*(q - 15)*(q - 2)
Let s(b) be the second derivative of 2*b**6/45 - b**5/30 - 5*b**4/9 - 17*b. Find n such that s(n) = 0.
-2, 0, 5/2
Let w(p) = -42*p**3 + 3*p**2 - 8. Let z be w(2). Let s = -2974/9 - z. Factor 0 + 0*q**2 - 4/9*q**3 + s*q**4 + 0*q - 10/9*q**5.
-2*q**3*(q - 1)*(5*q - 2)/9
Let h(n) = 3*n**2 - 17*n + 6. Let l be h(6). Suppose l*z**3 + 9*z**2 + 187 + 3*z**4 - 187 + 0*z**2 = 0. What is z?
-3, -1, 0
Solve 193*p + 3*p**5 - 147*p**2 - 2251*p - 28*p**4 - 29*p**4 + 315*p**3 = 0.
-2, 0, 7
Let a(i) be the first derivative of -i**5/80 + i**4/24 + 42*i + 37. Let r(j) be the first derivative of a(j). Let r(g) = 0. Calculate g.
0, 2
Let j(x) be the first derivative of x**7/6720 - x**6/960 + x**5/320 - x**4/192 + 5*x**3/3 - 2. Let u(t) be the third derivative of j(t). Factor u(l).
(l - 1)**3/8
Let d(y) be the first derivative of -y**5/5 - 3*y**4/4 + 4*y**3/3 - 49. Factor d(w).
-w**2*(w - 1)*(w + 4)
Let q(s) be the third derivative of s**8/672 + s**7/210 - s**6/30 - 2*s**5/15 + s**4/3 + 8*s**3/3 - 294*s**2 + 2*s. Factor q(l).
(l - 2)**2*(l + 2)**3/2
Determine b so that -b**3 - 315*b + 83*b**2 + 653*b - 337*b - 83 = 0.
-1, 1, 83
Let f(h) be the second derivative of h**7/28 - 3*h**6/20 - 3*h**5/40 + 3*h**4/8 - 24*h + 1. Find b, given that f(b) = 0.
-1, 0, 1, 3
Let t be (-32 - 1*16/(-4))*-1. Determine x, given that t*x**3 + 107*x + 858*x + 401*x - 344*x**2 - 262*x - 288 = 0.
2/7, 6
Let q(o) = -22*o**3 - o**2 - 2*o - 1. Let z be q(-1). Let k = z + -20. Factor -20*a + 20*a - k*a**2.
-2*a**2
Let i be 124/(-42) - (4 - 7). Let k(h) be the second derivative of -5*h + 1/42*h**4 - 1/70*h**5 + 0*h**2 - 1/105*h**6 + i*h**3 + 0. Factor k(s).
-2*s*(s - 1)*(s + 1)**2/7
Let h(s) be the third derivative of 0*s + 0*s**3 + 14/15*s**5 + 8/105*s**7 - 1/168*s**8 - 23/60*s**6 + 0 - s**4 - 30*s**2. Let h(a) = 0. Calculate a.
0, 1, 2, 3
Determine m, given that 26*m - 16*m + 3*m**2 + 1323 - 20*m - 116*m = 0.
21
Let o = 6336 - 6332. Factor 0*f**3 + 16/5*f + 2/5*f**o - 6/5 - 12/5*f**2.
2*(f - 1)