 629 + w**4 - 629 + w**3 + 5*w**2.
w*(w + 1)**2*(w + 2)
Suppose z = -2*r, -3*z + r + 68 + 60 = 100. Factor -z + 4/3*y**2 - 4/3*y.
4*(y - 3)*(y + 2)/3
Suppose -9 = -3*d - 4*p, 14*p - 9*p = d - 3. Suppose -24*z + 3*z**3 + 12*z**2 - 12 - 28*z + z**d + 48*z = 0. Calculate z.
-3, -1, 1
Let a(o) be the third derivative of -2*o**7/315 + 16*o**6/45 + 11*o**5/15 + 687*o**2. Solve a(i) = 0.
-1, 0, 33
Let b = 199785/94024 + 2/11753. Let m(z) be the first derivative of b*z**2 + 35/16*z**4 + 11/20*z**5 + 1/2*z - 11 + 13/4*z**3. Factor m(r).
(r + 1)**3*(11*r + 2)/4
Let -318 + 76 + 0*z**2 - 491 - 5*z**2 - 87 - 420*z = 0. Calculate z.
-82, -2
Let o(r) = r**3 + 23*r**2 + 21*r + 30. Let x be o(-22). Solve 2*n**2 + 2*n**2 + 20 - 76*n + x = 0 for n.
1, 18
Let r(g) be the second derivative of g**9/45360 + g**8/2016 + g**4/4 - g**2 + g + 117. Let c(d) be the third derivative of r(d). Factor c(o).
o**3*(o + 10)/3
Let n(c) be the first derivative of 10*c**5/13 + 103*c**4/26 - 2*c**3/3 - 103*c**2/13 - 24*c/13 - 10383. Determine r, given that n(r) = 0.
-4, -1, -3/25, 1
Let d be (-5)/(-30) + (-599)/(-6). Suppose 26 + d + 23*w**4 + 185*w + 15*w**2 - 18*w**4 - 6 - 45*w**3 = 0. Calculate w.
-1, 3, 8
Let h be 8/(-8) - -11 - (0 - (-7 + 1)). Let g(l) be the third derivative of 0 + 1/12*l**5 - 5/2*l**3 - 18*l**2 + 0*l + 5/12*l**h. Factor g(w).
5*(w - 1)*(w + 3)
Let q be (5838/(-70))/(1*3/(-10)). Let y = q - 1940/7. Determine r so that 4/7*r**3 - 2*r**2 + y*r + 0 = 0.
0, 1/2, 3
Let w = 131342 - 131340. Factor -2/3*j**3 + 6174 + 42*j**w - 882*j.
-2*(j - 21)**3/3
Factor -122*f - 4 + 29*f + 153*f**2 + 12*f**4 + 985990*f**3 - 986077*f**3 + 19.
3*(f - 5)*(f - 1)**2*(4*f - 1)
Factor -3100758 + 7468001 + 7108882 + 20736*o - 5586*o + 5*o**2.
5*(o + 1515)**2
Let p(l) be the second derivative of -8*l**4/3 + 110*l**3/3 - 84*l**2 + 6583*l. Let p(y) = 0. What is y?
7/8, 6
Suppose -3*l + 14 = -2*m, -m - 7 = -4*l + 5. Suppose 3*t - 27 = -2*g, 5*g - 4*g + l*t = 14. Find z such that 3*z - 18*z**2 + g*z**2 + 6 - z**3 - 2*z**3 = 0.
-2, -1, 1
Let s be (-1080)/14*(-2355 + 2345). Factor -s*o - 2/7*o**3 + 54000/7 + 180/7*o**2.
-2*(o - 30)**3/7
Factor -2/19*j**2 - 8/19*j - 6/19.
-2*(j + 1)*(j + 3)/19
Let f(i) = 28*i - 20*i**2 + 34 - i**2 + 15*i**2. Let d(w) = -5*w**2 + 27*w + 32. Let g(l) = 7*d(l) - 6*f(l). Factor g(h).
(h + 1)*(h + 20)
Determine m so that -86/11*m**4 - 250/11*m**3 - 8/11*m**5 - 124/11*m**2 + 0 + 48/11*m = 0.
-6, -4, -1, 0, 1/4
Let b = 99285 + -99282. What is r in 20/3*r - 16/3 + 1/3*r**b - 8/3*r**2 = 0?
2, 4
Let c be 3/(63/49) + (-1)/3. Suppose 352*n - 238 = 335*n. Find j, given that 2/3*j**3 - 12 - 16/3*j**c + n*j = 0.
2, 3
Let r(z) = z**2 + 39*z + 47. Let h be r(-38). Find b, given that -b**4 - 26*b + 69*b - 2 + 5*b**3 - 36*b - h*b**2 = 0.
1, 2
Suppose 0 = 2*s + 4*k + 8, 5*s + 9 - 1 = -4*k. Let h(f) be the second derivative of -3/4*f**5 + 14*f + 0 - 2*f**3 + s*f**2 - 1/10*f**6 - 2*f**4. Factor h(t).
-3*t*(t + 1)*(t + 2)**2
Let d be (-6 + 2 - -7)/((-2)/646). Let g = d + 5815/6. Factor 1/6*h + g*h**2 - 1/3.
(h - 1)*(h + 2)/6
Suppose -2*h + 7*h = -3*o - 1, -3*h = 4*o - 6. Let s = h + 16. What is c in 11*c**3 - 2*c**3 + 5 - 5*c**3 + 13*c**2 + s*c = 0?
-5/4, -1
Suppose 0 = -3*o + 2*z + 17 + 3, 4*o - 5*z = 36. Solve -4*a + o*a**5 - 226*a**4 - 21*a**3 + 9*a**5 + 20*a**2 - 6*a**5 + 224*a**4 = 0.
-2, 0, 2/7, 1
Suppose 410*j + 106*j + 217*j - 6445 = -556*j. Find o such that 64/3*o + 22/3*o**4 + 88/3*o**2 - 2/3*o**j - 80/3*o**3 - 128/3 = 0.
-1, 2, 4
Let k(d) = 2*d**2 - 24*d + 2. Let l be k(12). Let f = -15 + 17. Solve 6*m**2 + f*m**2 - 5*m**l + 2*m = 0 for m.
-2/3, 0
Let x(r) be the second derivative of 3*r**5/40 - 13*r**4/8 - 186*r**3 - 3996*r**2 - 8881*r. Determine c, given that x(c) = 0.
-12, 37
Let u(x) = -4*x**4 - 113*x**3 + 3774*x**2 - 38332*x - 151949. Let y(t) = t**4 + t**3 - 2. Let j(k) = u(k) + 5*y(k). Factor j(g).
(g - 37)**3*(g + 3)
Let i = -108 + 171. Let l = i + -60. Let v(t) = -4*t**3 + 5*t**2 - 3. Let x(c) = 7*c**3 - 9*c**2 - c + 5. Let q(d) = l*x(d) + 5*v(d). Let q(g) = 0. Calculate g.
-1, 0, 3
Let -75/8 + 253/8*i + 1/8*i**5 - 31/8*i**4 - 155/4*i**2 + 81/4*i**3 = 0. Calculate i.
1, 3, 25
Factor -1066/5*l + 708/5 + 6/5*l**2.
2*(l - 177)*(3*l - 2)/5
Let r = -99 + 103. Factor -t**r - 7 + 7*t + 29*t + 8*t**2 - 42*t + 6*t**3.
-(t - 7)*(t - 1)*(t + 1)**2
Let f(i) be the third derivative of i**6/960 + i**5/6 - 27*i**4/64 + 2*i**2 - 403*i. Suppose f(k) = 0. Calculate k.
-81, 0, 1
Let w = 537 + -527. Factor -18*i**4 - 36*i**2 - 258*i**5 - 10*i**3 + 2*i + 49*i**3 + w*i + 261*i**5.
3*i*(i - 2)**2*(i - 1)**2
Suppose -1408/5*o**2 - 2/15*o**4 + 152/15*o**3 - 42592/3 + 50336/15*o = 0. Calculate o.
10, 22
Let u be (1 + 9)*(-6 + 39/6). Factor -33*c**2 + 107*c**2 + 26*c**2 + u*c**3 + 150*c + 235*c - 1210.
5*(c - 2)*(c + 11)**2
Let k(i) be the second derivative of i**6/90 + 25*i**5/3 + 1493*i**4/36 + 497*i**3/9 - i - 1118. Factor k(l).
l*(l + 1)*(l + 2)*(l + 497)/3
Let g(s) = -11*s + 70. Let t be g(6). Let f be ((-21)/14)/(t/(-10 + 2)). Factor 0*v + 0 + 16/3*v**2 + 4/3*v**f.
4*v**2*(v + 4)/3
Suppose -2*d + 12 = -5*m, 4*m - 2 + 14 = d. Let f be ((-67)/16 - d)*-36*2. Solve f*r + 27/2 + 1/2*r**3 + 9/2*r**2 = 0 for r.
-3
Factor -l**3 + 4*l**3 + 3967*l - 60*l**2 + 2*l**3 - 3912*l.
5*l*(l - 11)*(l - 1)
Let p = -111929 - -111933. Factor 0*s**2 + 0 + 441/2*s**3 + 1/2*s**5 + 0*s - 21*s**p.
s**3*(s - 21)**2/2
Let k(v) be the first derivative of -2*v**3/21 - 376*v**2/7 - 70688*v/7 + 853. Factor k(s).
-2*(s + 188)**2/7
Factor 394/3*k + 194/3*k**2 + 66 - 2/3*k**3.
-2*(k - 99)*(k + 1)**2/3
Let i = -421/1188 + 328/297. Find c such that -i*c**3 - 6*c - 15/4*c**2 - 3 = 0.
-2, -1
Suppose 258 + 346 = 140*c + 11*c. Let y(m) be the first derivative of 1144/3*m**3 + 121*m**c + 32*m - 21 + 184*m**2. Solve y(a) = 0 for a.
-2, -2/11
Suppose -3*k - 45*w + 613 = -47*w, 5*k = 3*w + 1023. Suppose -k - 3*n**2 - 214 - n**3 + 4*n + 433 = 0. Calculate n.
-3, -2, 2
Let a(n) = 3*n**3 + 314*n**2 - 446*n - 2324. Let m be a(-106). What is g in 0 - m*g**2 + 8/11*g**4 - 34/11*g**3 + 24/11*g = 0?
-2, 0, 1/4, 6
Let c(a) = a**3 - 64*a**2 + 190*a + 4. Let u be c(3). Let b = -79 - -124. Factor -5*m**5 - b*m**3 - 35*m**2 - 3*m - 7*m + 0*m - u*m**4.
-5*m*(m + 1)**3*(m + 2)
Let t(i) be the first derivative of 5/12*i**3 - 107 + 980*i + 35*i**2. Determine s so that t(s) = 0.
-28
Let c = 667/33222 + -3/226. Let a = c + 1025/588. Let 0*b - a*b**3 + 1/2*b**4 - 1/2*b**2 + 7/4*b**5 + 0 = 0. What is b?
-1, -2/7, 0, 1
Let s(g) be the second derivative of -g**5/5 - 193*g**4/3 - 128*g**3 + 313*g. Solve s(q) = 0 for q.
-192, -1, 0
Let w(c) be the first derivative of c**4/4 + 3*c**3 + 2*c**2 - 26*c - 31. Let u be w(-8). Determine o so that 11*o**2 + u*o + 15*o**2 - 28*o**2 = 0.
0, 3
Solve -49029*q + 796 + 25423*q + 24398*q - 4*q**2 = 0.
-1, 199
Let w(s) be the second derivative of s**5/10 - 4*s**4/3 - s**3/3 + 8*s**2 + 1143*s. Find k such that w(k) = 0.
-1, 1, 8
Let z(q) = -3*q - 12. Let a be z(-4). Suppose -g + 5 = -a*g. Factor 28*k - g - 33*k**3 - 1 + 5*k + 6*k**2.
-3*(k - 1)*(k + 1)*(11*k - 2)
Suppose -106*s - 29*s + 702 = -18*s. Let j(g) be the third derivative of -20*g**2 - 35/216*g**s + 0*g - 17/54*g**4 + 0 + 4/27*g**3 + 19/54*g**5. Factor j(m).
-(5*m - 2)**2*(7*m - 2)/9
Factor 1832*v + 1859*v + 3*v**2 - 3736*v.
3*v*(v - 15)
Let a = 2684572/4026867 - -2/1342289. Factor a*t**3 + 4/3*t**2 - 16/3 - 8/3*t.
2*(t - 2)*(t + 2)**2/3
Suppose -5*l - 1 - 9 = -3*g, 0 = -2*g + l + 9. Suppose 3*o + 5*x + 9 = 0, -4*o + 5*x = -21 - 2. Find t, given that 5*t**g - 58*t**o + 58*t**2 - 5*t**3 = 0.
-1, 0, 1
Let l(q) be the first derivative of q**8/672 - q**7/70 + q**6/240 + q**5/5 + q**4/3 - 231*q**2/2 - 157. Let y(r) be the second derivative of l(r). Factor y(x).
x*(x - 4)**2*(x + 1)**2/2
Suppose -b = -4*w + 11, -5*w + 4*b = -21 + 10. Suppose 6 = -8*q + 7*q - 3*d, 2*q - w = -3*d. Determine c, given that 21/5*c**2 - 3/5*c**3 - q*c + 27/5 = 0.
1, 3
Let v(w) be the third derivative of 19/72*w**4 + 83*w**2 + w**3 + 0*w + 0 + 1/36*w**5. Factor v(o).
(o + 2)*(5*o + 9)/3
Suppose 999 - 199 - 140 = 220*y. Suppose -32 + 6*t**4 + 24*t - 47/2*t**y - 1/2*t**5 + 26*t**2 = 0. What is t?
-1, 1, 4
Let w(k) be the first derivative of 8*k - 34/3*k**2 + 3/4*k**4 + 14/3*k**3 - 19. So