*2 + 1/4*i**4 = 0.
-1, 0
Let h be 507/117*55/715. Factor 11/3*w**2 - 12 + 8*w + h*w**3.
(w - 1)*(w + 6)**2/3
Let s(z) be the first derivative of 19/8*z**2 + 1/4*z**3 - 7/16*z**4 - 7/2*z - 1/20*z**5 - 49. Find j, given that s(j) = 0.
-7, -2, 1
Let q(f) be the third derivative of 1/600*f**6 - 1/10*f**3 + 0 - f**2 + 7/120*f**4 + 3*f - 1/60*f**5. Let q(k) = 0. Calculate k.
1, 3
Suppose -1298*b - 422*b + 6255 = 365*b. Solve 0*v**b - 6/7*v**2 + 2/7*v**4 + 4/7*v + 0 = 0 for v.
-2, 0, 1
Let h = 345691/20 + -17307. Let v = -106/5 - h. Factor 5/2*b**3 + 15/4 - 5/2*b - 5*b**2 + v*b**4.
5*(b - 1)**2*(b + 1)*(b + 3)/4
Let w(c) = -c**3 + 137*c**2 - 1481*c - 225. Let d be w(12). Solve -9/4*u**d + 0*u + 0*u**4 + 3/2*u**2 + 3/4*u**5 + 0 = 0 for u.
-2, 0, 1
Let x(i) = -2*i + 15*i + 0*i + 4*i**2 + 22. Let n(v) = 5*v**2 + 14*v + 21. Let d(j) = 3*n(j) - 4*x(j). Factor d(k).
-(k + 5)**2
Factor -2/5*k**2 + 172/5*k + 174/5.
-2*(k - 87)*(k + 1)/5
Let w(a) = -6*a**3 - 18*a + 3. Let k be w(5). Let r = k + 837. Factor -4/3*z**2 + 0*z**3 + r*z + 2/3*z**4 + 2/3.
2*(z - 1)**2*(z + 1)**2/3
Suppose 4*m + 5*p - 670 = 0, -5*m - 5*p + 840 = -0*p. Suppose -14 - 18*r**2 - 91*r + 2*r**3 - 49*r + m*r = 0. What is r?
1, 7
Let p(b) = -b**3 - 7*b**2 - 1. Let i(v) = 20*v**3 + 9765*v**2 + 6221040*v + 1335449935. Let g(n) = -i(n) - 15*p(n). Factor g(m).
-5*(m + 644)**3
Factor -3/2*f**4 - 1449*f**2 - 1455/2*f**3 + 0 + 0*f.
-3*f**2*(f + 2)*(f + 483)/2
Let d(f) be the second derivative of -7/2*f**3 + 11/12*f**4 - 1/60*f**5 - 251*f - 1/90*f**6 + 0*f**2 + 0. Suppose d(s) = 0. What is s?
-7, 0, 3
Let v be 6*(3 + (-21)/9). Let w(r) = -r**3 - 3*r**2 + 3*r + 1. Let t be w(-4). Solve 4 - 51*m**4 - 10*m + 8*m**3 + 43*m**4 + 0*m**t + 2*m**5 + v*m**2 = 0.
-1, 1, 2
Let c(b) be the third derivative of 0*b + 0*b**3 + 22/5*b**5 + 7/120*b**8 + 5/3*b**4 + 949/300*b**6 - 22/25*b**7 - 40*b**2 + 0. Factor c(n).
2*n*(n - 5)**2*(7*n + 2)**2/5
Let i(z) be the second derivative of -2/165*z**6 - 62*z + 2/33*z**4 - 1/55*z**5 - 2/11*z**2 + 1/33*z**3 + 1/231*z**7 + 0. Suppose i(q) = 0. What is q?
-1, 1, 2
Let u(t) = 829*t**2 + 1199*t - 78. Let d(k) = -3350*k**2 - 4795*k + 310. Let c(s) = 6*d(s) + 25*u(s). Let c(x) = 0. Calculate x.
-2, 9/125
Let p = -738 - -739. Let j be (p/3)/(-6*12/(-162)). Determine s, given that 12 - 6*s + j*s**2 = 0.
4
Let f be 8/((-40)/15)*-1. Factor 2*l**3 - 6*l**f - 1 - 12 + 4*l + 21*l + 3*l**3 - 11*l**2.
-(l - 1)**2*(l + 13)
Factor 7*w**3 - 67*w**3 + 19*w**4 - 10298*w**5 + 10297*w**5.
-w**3*(w - 15)*(w - 4)
Let o(m) = m**2 - 9*m - 20. Let k be o(10). Let d(f) = 4*f + 45. Let i be d(k). Factor -4*z**5 - i*z**4 + 0*z**4 - 16*z**3 - 16*z**4 + z**4.
-4*z**3*(z + 1)*(z + 4)
Suppose 46 = 4*l - 62. Factor -l*p**2 - 34*p**2 - 95*p - 63 + 0*p**2 + p**3 - 30*p.
(p - 63)*(p + 1)**2
Let p = 1568/3 + -516. Let y = -883 + 885. Determine a, given that 8*a + 0 - 8/3*a**3 - p*a**y + 4/3*a**4 = 0.
-2, 0, 1, 3
Suppose -k - 116 = -119. Suppose -o + 3*i = -44, 2*i - k = 7. Factor -128*c**3 - o*c**2 + 14*c**2 + 123*c**3.
-5*c**2*(c + 9)
Let p(r) be the second derivative of 0 - 10*r + 0*r**2 - 1/2*r**3 + 3/200*r**5 - 1/600*r**6 + 0*r**4. Let t(y) be the second derivative of p(y). Factor t(i).
-3*i*(i - 3)/5
Suppose 0 = 5*d + 5*w, -d - 5*w = -w + 15. Let -40*y**2 - 7*y**3 + 80 + 5*y**4 - 33*y**3 + 3*y**d + 80*y + 5*y**5 - 3*y**5 = 0. Calculate y.
-2, -1, 2
Let b(u) be the first derivative of 2*u**3/3 - 584*u**2 + 170528*u + 1200. Factor b(f).
2*(f - 292)**2
Let n = 247 + -1. Let p be n/10 - (36/(-15) - -3). Suppose 9 + 24*w**2 - 101*w**3 - 5 + 54*w + 99*w**3 + p = 0. What is w?
-1, 14
Let o = 3109 + -3102. Let q(i) be the third derivative of -5/12*i**4 + 0*i**3 + 0 + 0*i - 1/4*i**5 + 1/24*i**6 + 1/14*i**o + 5/336*i**8 - 16*i**2. Factor q(a).
5*a*(a - 1)*(a + 1)**2*(a + 2)
Let j be 285/100 + -3 - (-4 - (-72)/20). Let r(d) be the first derivative of 7 + 49/12*d**3 - 7/4*d**2 + j*d. Determine a so that r(a) = 0.
1/7
Let -8/9 - 62/9*j**2 - 250/9*j = 0. Calculate j.
-4, -1/31
Let c = 463814/5 + -92762. Let x be ((-2)/(-4))/(1/4). Let c*s + 4/5 + 1/5*s**x = 0. What is s?
-2
Let r(o) = -66*o**4 - 256*o**3 - 19194*o**2 - 356365*o - 1937677. Let b(t) = 5*t**4 + 2*t**2 + t + 1. Let q(d) = 39*b(d) + 3*r(d). Factor q(j).
-3*(j + 12)**2*(j + 116)**2
Let r = 0 + 1. Suppose -48*n = -125*n + 462. Factor -p - 3*p**4 + 8 - n + 7*p - 6*p**3 + r.
-3*(p - 1)*(p + 1)**3
Let u be 8/12 + ((-506)/(-33) - 16). Let f(d) be the first derivative of 0*d**2 + 2 + 1/6*d**6 - 1/4*d**4 + u*d**5 + 0*d**3 + 0*d. Factor f(n).
n**3*(n - 1)*(n + 1)
Let z(j) be the first derivative of -j**7/21 + j**5/5 - j**3/3 - 68*j - 57. Let p(w) be the first derivative of z(w). What is b in p(b) = 0?
-1, 0, 1
Let a(i) be the second derivative of 0 - 45*i - 7/3*i**3 + 0*i**2 - 1/18*i**4. Factor a(m).
-2*m*(m + 21)/3
Let o(b) be the third derivative of 55*b**8/28 + 178*b**7/15 + 19*b**6/30 - 1019*b**5/15 + 112*b**4/3 - 8*b**3 + 977*b**2. Solve o(i) = 0 for i.
-3, -2, 1/11, 2/15, 1
Let b be ((-10080)/4200)/((-6)/5). Factor 0 + 2/7*s**b + 6/7*s.
2*s*(s + 3)/7
Suppose 2*f + 4 = -4*x, -13*x + 2 = f - 12*x. Suppose -15*o = -f*o - 27. Factor -2*i + 18/7*i**2 - 10/7*i**o + 2/7*i**4 + 4/7.
2*(i - 2)*(i - 1)**3/7
Let g(v) be the second derivative of v**8/2240 - v**6/96 + v**4/8 - 209*v**3/6 - 296*v. Let c(q) be the second derivative of g(q). Let c(o) = 0. Calculate o.
-2, -1, 1, 2
Factor 2211/2*d + 5535/2*d**2 + 221/2 + 25/2*d**3.
(d + 221)*(5*d + 1)**2/2
Let j(n) = -n**3 - 11*n**2 + 6*n - 53. Let w be j(-12). Let c be w + -17 - (1/(-1) + 1). Determine i, given that 1/2*i**2 - c*i + 0 = 0.
0, 4
Let g(p) be the second derivative of p**9/756 + p**8/210 - 2*p**7/315 - 55*p**4/12 - 31*p - 1. Let b(k) be the third derivative of g(k). Factor b(a).
4*a**2*(a + 2)*(5*a - 2)
What is a in -1/7*a**2 + 72/7 + 2*a = 0?
-4, 18
Factor -293*g**2 - 750*g - 2514*g - 4*g**4 - 2560 - 690*g**2 + 420*g**2 - 797*g**2 - 192*g**3.
-4*(g + 2)**2*(g + 4)*(g + 40)
Let s = 5/28122 + 56219/140610. Factor 4/5*o**3 + 0*o + 2/5*o**4 + s*o**2 + 0.
2*o**2*(o + 1)**2/5
Let b = -104 - -405/4. Let w = b - -79/20. Factor 8/5*a + 2/5*a**2 + w.
2*(a + 1)*(a + 3)/5
Let r(x) = -3510*x - 10530. Let d be r(-3). Let 1/3*m**3 + d + 0*m**2 - 1/3*m = 0. Calculate m.
-1, 0, 1
Let s(o) be the first derivative of -2/27*o**3 + 67 - 4/9*o**2 - 2/3*o. Factor s(r).
-2*(r + 1)*(r + 3)/9
Let m(f) = -80*f**2 + 145*f + 190. Suppose -3*v - 18 = 3*q, 0 = -q + 3*v - 5*v - 8. Let t(o) = -9*o**2 + 16*o + 21. Let y(s) = q*m(s) + 35*t(s). Factor y(x).
5*(x - 5)*(x + 1)
Let j be 9/15 + (-416)/10. Let h = j + 43. Factor -9*q**2 + 15*q**4 - 5*q**5 - 15*q**3 + 12*q**2 + 2*q**h.
-5*q**2*(q - 1)**3
Suppose 20 = -5*g - 5*j, g + 4*j + 34 = 12. Suppose 18 + 15*q + 1/4*q**3 + 7/2*q**g = 0. Calculate q.
-6, -2
Let o(v) be the third derivative of v**8/112 - 9*v**7/70 + 3*v**6/5 - v**5 + 3*v**2 + 6*v - 61. Suppose o(l) = 0. What is l?
0, 2, 5
Let g(m) be the third derivative of -m**5/540 - 37*m**4/108 - 140*m**3/27 + 1140*m**2. Solve g(n) = 0 for n.
-70, -4
Suppose 26 = 3826*h - 3823*h - 2*o, 0 = 7*h + 4*o. Suppose 31/3*g - 182/3*g**h - 307/6*g**2 + 169/12*g**5 - 2/3 + 1057/12*g**3 = 0. Calculate g.
2/13, 1, 2
Let n = 591/502 + 2482885/8534. Let b = n + -292. Suppose -4/17*f**2 + 8/17*f**3 + 6/17 - 8/17*f - b*f**4 = 0. What is f?
-1, 1, 3
Solve 308/3 - 24*l + 4/3*l**2 = 0.
7, 11
Let s = 5412 - 5412. Let b(j) be the second derivative of 1/4*j**5 + 5/6*j**4 + 0*j**2 + 0*j**3 + s - 1/6*j**6 + 9*j. Determine w, given that b(w) = 0.
-1, 0, 2
Let h(p) be the first derivative of 5*p**4/4 - 8180*p**3/3 - 5*p**2/2 + 8180*p + 7076. Factor h(s).
5*(s - 1636)*(s - 1)*(s + 1)
Let s(n) be the second derivative of 8*n**6/45 + 121*n**5/150 + n**4/30 - 32*n**3/9 - 4*n**2/15 - 809*n. Find j, given that s(j) = 0.
-2, -1/40, 1
Let j(y) be the first derivative of y**6/3420 + 2*y**5/57 + 122*y**3/3 + 119. Let x(u) be the third derivative of j(u). Factor x(g).
2*g*(g + 40)/19
Let x = -93 + 126. Let s be (3/9)/(x/44). Let -1/9*o**2 - 4/9*o - s = 0. Calculate o.
-2
Let i be 3284/10 + 0 + (-36)/(-60). Let u = i + -326. Suppose 2/7*f**2 + 0*f + 11/7*f**4 + 0 + 13/7*f**u = 0. What is f?
-1, -2/11, 0
Suppose 624*j - 1339 - 3724 = 553. Factor 39/4*o - j*o**2 + 0 - 3/4*o**3.
-3*o*(o