so that 4/7*h**2 - 16/7*h**n - 4/7*h**4 + 0 + 16/7*h = 0.
-4, -1, 0, 1
Factor 18*z + 1/2*z**2 + 154.
(z + 14)*(z + 22)/2
Suppose -1422*x + 1376*x + 184 = 0. Let l(n) be the second derivative of 3/4*n**2 + 1/2*n**x - 35*n + 1/60*n**6 + 3/20*n**5 + 0 + 5/6*n**3. Solve l(b) = 0.
-3, -1
Determine q so that -18*q**2 + 21*q**2 + 30 + 29*q + 2*q**2 - q**2 - 5*q**2 = 0.
-1, 30
Suppose 0 = 5*f - 9 - 1. Suppose -4*t + t + 5*l = -4, 4 = 2*t - f*l. Factor 12*o - 18*o**2 + 12*o**3 - 15 - 11 - t*o**4 + 23.
-3*(o - 1)**4
Let k(o) be the third derivative of -7*o**6/120 + 101*o**5/30 + 208*o**4/21 + 80*o**3/7 - 3867*o**2. Factor k(j).
-(j - 30)*(7*j + 4)**2/7
Let m(y) be the third derivative of y**6/1080 + 2*y**5/9 + 200*y**4/9 + 35*y**3/6 + 107*y**2. Let g(r) be the first derivative of m(r). Solve g(q) = 0.
-40
Factor 3*i**3 + 0*i**3 + 63*i**2 - 138*i + 10687 - 10687.
3*i*(i - 2)*(i + 23)
Suppose 16*a = -2*a + 5724. Let b = 321 - a. Solve 4*l**3 - 5/4*l**5 - b*l**4 + 12*l**2 + 4*l + 0 = 0 for l.
-2, -2/5, 0, 2
Let k = -2076 - -161929/78. Let s(l) be the second derivative of 2/39*l**3 + 0*l**2 + k*l**4 + 9*l + 0. Factor s(z).
2*z*(z + 2)/13
Let t be 6 + 2*-1 + 2. Let b(x) = -x**2 - x - 10. Let h(q) = 8 + 8 - 18 + 12. Let m(u) = t*h(u) + 5*b(u). Factor m(v).
-5*(v - 1)*(v + 2)
Let r(k) = 4*k**2 - k - 1. Let a(l) = 44*l - 99*l + 8*l**2 + 7*l**2 - 14 + 40*l. Let x(o) = -3*a(o) + 12*r(o). Factor x(z).
3*(z + 1)*(z + 10)
Suppose -4*q = 923 - 155. Let x be (1/(-3)*-1)/((-32)/q). Solve -11/3*b - 2/3 + 80/3*b**3 + 8/3*b**x = 0 for b.
-1/4, 2/5
Let w = 48274 - 96543/2. Let 3/2 - w*s + 1/2*s**2 + 1/2*s**3 = 0. What is s?
-3, 1
Let m(z) be the second derivative of -3*z**5/20 + 213*z**4/2 - 1680*z**3 + 10032*z**2 - z - 2511. Factor m(h).
-3*(h - 418)*(h - 4)**2
Let r = 7439378/136389 + 2/12399. Let h = -1318/11 - -120. Determine o, given that -2000/11 + r*o - 60/11*o**2 + h*o**3 = 0.
10
Factor 81/4 + 1/8*i**2 - 83/8*i.
(i - 81)*(i - 2)/8
Suppose -5*g - 4*c - 27 = 0, 11*g - 28 = 7*g + 3*c. Let d(s) be the first derivative of -1/12*s**3 - g + 3/4*s + 1/4*s**2. Suppose d(j) = 0. Calculate j.
-1, 3
Suppose 619*a = 579*a + 55 + 25. Solve -40 - 452/5*l**3 - 8/5*l**5 + 142/5*l**4 - 1562/5*l**a - 232*l = 0 for l.
-1, -1/4, 10
What is c in 0 + 1/4*c**2 - 839/4*c = 0?
0, 839
Let f be ((-50)/(-24))/(80/1664*13). Let i(x) be the first derivative of -4/3*x**2 - 22 - f*x + 2/9*x**3. Let i(k) = 0. Calculate k.
-1, 5
Let s(t) be the third derivative of -7*t**5/60 + 31*t**4/24 - 2*t**3 - 4744*t**2. Find q such that s(q) = 0.
3/7, 4
Let w(k) be the third derivative of -k**8/196 + 4*k**7/147 + 109*k**6/70 - 206*k**5/15 + 42*k**4 - 880*k**3/21 - 483*k**2. Find l, given that w(l) = 0.
-11, 1/3, 2, 10
Suppose 0 = -283*h + 96*h + 1564 + 867. Let u(f) be the first derivative of 2/9*f**4 + 4/9*f**2 - 2/9*f - 4/9*f**3 - h - 2/45*f**5. Suppose u(i) = 0. What is i?
1
Let t(s) be the second derivative of -s**6/5 + 2*s**5/3 + 23*s**4/18 - 2*s**3/3 + 75*s. Suppose t(r) = 0. Calculate r.
-1, 0, 2/9, 3
Suppose 7*b = 3*g + g - 21, 3*g - 5*b = 15. Suppose 1/7*t**4 + 0 + g*t**3 + 0*t - 4/7*t**2 = 0. What is t?
-2, 0, 2
Let y be (-16)/(-3) + (37 + -37 - 0). Determine i so that -2/3*i**2 + 4*i - y = 0.
2, 4
Let i(y) be the first derivative of 0*y + 11*y**3 + 1/960*y**6 + 24 + 0*y**2 + 49/64*y**4 - 7/160*y**5. Let u(l) be the third derivative of i(l). Factor u(j).
3*(j - 7)**2/8
Let o be (-46)/(-147) + 1221/59829. Solve -1/3*i**2 - 4/3*i + 4/3 + o*i**3 = 0.
-2, 1, 2
Suppose -o + d + 3 = 0, -8*o + 13*o = -4*d + 15. Let p**o - 11*p**2 - 24 - 6*p**3 + 3*p**2 + 76*p - 6*p**3 - p**3 = 0. Calculate p.
-3, 1/3, 2
Let u(i) = 18337*i**3 - 90041*i**2 - 10459*i - 300. Let l(c) = 6113*c**3 - 30009*c**2 - 3486*c - 100. Let q(j) = -19*l(j) + 6*u(j). Factor q(p).
-5*(p - 5)*(35*p + 2)**2
Factor 134/3 + 136/3*p + 2/3*p**2.
2*(p + 1)*(p + 67)/3
Let n be 10/(10*2/12). Let l(v) be the third derivative of -4/3*v**4 - 2/15*v**5 - 64/9*v**3 + 0 - 1/180*v**n + 0*v - 16*v**2. Let l(z) = 0. Calculate z.
-4
Suppose 2*k = -4*w - k - 139, 4*w = -2*k - 142. Let a = 189/5 + w. Factor 2/5 - a*i + 2/5*i**2.
2*(i - 1)**2/5
Let h(t) = t**2 - t. Let r(n) = 18*n**2 - 768*n - 378. Let o(f) = -14*h(f) + r(f). Suppose o(j) = 0. What is j?
-1/2, 189
Suppose -4*p + 5 = 3*f, f + 17 = -14*p + 82. Solve -10*s**2 + 5/3*s**3 - 5/6*s**5 + p*s**4 - 5/6*s + 5 = 0.
-1, 1, 6
Let j(b) be the first derivative of -4/5*b**5 - 8*b**4 - 64*b + 135 + 44*b**2 + 4*b**3. Suppose j(r) = 0. What is r?
-8, -2, 1
Let n(p) = -p**3 - 4*p**2 - 15*p - 98. Let m be n(-5). Suppose -12 = h + 2*h, 76 = 4*b - h. Find u such that -8*u**m + b*u - 18*u + 4 + 4*u**4 + 0*u**4 = 0.
-1, 1
Let s(p) = 3*p**2 + 36*p - 369. Let h be s(18). Let g = h + -6249/5. Factor 0*t**2 + g*t**3 + 33/5*t**4 + 0*t + 0 + 27/5*t**5.
3*t**3*(t + 1)*(9*t + 2)/5
Solve 26/3*n - 1/6*n**2 - 338/3 = 0 for n.
26
Let d be 16/8*-1 - -2. Let g be d - 42/22 - -2. Factor 60/11*j + 10/11*j**3 + 36/11 + 37/11*j**2 + g*j**4.
(j + 2)**2*(j + 3)**2/11
Let s = -4197 - -4200. Let x(f) be the second derivative of 1/2*f**2 + 1/12*f**4 + 4*f + 0 - 1/3*f**s. Factor x(n).
(n - 1)**2
Suppose 16/5*y**5 - 532/5*y**3 + 292/5*y**2 - 396/5*y**4 + 516/5*y + 104/5 = 0. What is y?
-1, -1/4, 1, 26
Factor 12*m**4 - 8*m**2 - 673*m + 18*m**3 + 649*m - 7*m**5 + 9*m**5.
2*m*(m - 1)*(m + 2)**2*(m + 3)
Let i(p) be the second derivative of 169*p**7/5880 - p**6/10 - p**5/280 - 49*p**4/6 - 16*p - 5. Let b(w) be the third derivative of i(w). Factor b(x).
3*(x - 1)*(169*x + 1)/7
Suppose -54 - 17 = -4*m - 3*v, -3*m + 62 = 4*v. Suppose 7*q - 2*r = 12*q - 24, 3*r = 5*q - m. Factor 0 + 20/3*w**3 + 16/3*w + 32/3*w**2 + 4/3*w**q.
4*w*(w + 1)*(w + 2)**2/3
Let f be 0 - 5028/(-1254) - (2 - -2). Let x = f + 802/3553. Let -x*z + 0 + 2/17*z**3 + 2/17*z**2 = 0. What is z?
-2, 0, 1
Let g(b) be the second derivative of -b**4/30 + 1546*b**3/15 - 597529*b**2/5 + 94*b - 1. Factor g(q).
-2*(q - 773)**2/5
Let q = -1008149/78 - -12925. Let d(f) be the second derivative of 27*f - 4/13*f**2 + 0 - q*f**4 + 4/39*f**3. Factor d(r).
-2*(r - 2)**2/13
Suppose 13 = 2*t + 5*w, 4*t - 3*w = 2*w - 19. Let d be (t - 1/(-3))*-3. Factor 399*n + 1 - 1 - 395*n - 28*n**d.
-4*n*(7*n - 1)
Let t(h) be the second derivative of -h**8/20160 - h**7/3780 + h**4 + h + 12. Let n(r) be the third derivative of t(r). Suppose n(f) = 0. What is f?
-2, 0
Let 282/5*o + 144/5 + 121/5*o**2 - 1/5*o**5 - 29/5*o**3 - 13/5*o**4 = 0. What is o?
-8, -6, -1, 3
Find d, given that 0 - 2/21*d**4 - 12*d**3 - 378*d**2 + 0*d = 0.
-63, 0
Let g(i) be the second derivative of -21*i**5/100 - 3*i**4/5 + 109*i**3/10 - 9*i**2 + 46*i + 59. Suppose g(z) = 0. What is z?
-5, 2/7, 3
Let w(a) = 4*a**2 - 396*a - 798. Let y(r) = -3*r**2 + 198*r + 402. Let s(k) = 3*w(k) + 5*y(k). Factor s(d).
-3*(d + 2)*(d + 64)
Factor 4814/3*m**2 + 1/3*m**5 + 803/3 + 799/3*m**4 - 3206/3*m**3 - 3211/3*m.
(m - 1)**4*(m + 803)/3
Determine u so that 17/2*u + 1/2*u**2 + 36 = 0.
-9, -8
Suppose -114*m = -106*m + 752. Let s = m + 97. Factor 4/11*t**s + 9/11*t**2 + 6/11*t + 1/11.
(t + 1)**2*(4*t + 1)/11
Let z be 28/(-70)*((-294)/180 - 12/(-15)). Let a(u) be the first derivative of 35 - z*u**3 + 0*u + 3*u**2. Let a(b) = 0. What is b?
0, 6
Let z = -94 - -97. Find h such that 3*h - 645*h**3 - 33*h + 650*h**z + 25*h**2 = 0.
-6, 0, 1
Let u(i) be the second derivative of 3 - 24*i**2 + 4*i + 1/10*i**5 - 20/3*i**3 - 1/3*i**4. Factor u(d).
2*(d - 6)*(d + 2)**2
Let l(x) be the second derivative of x**7/8820 + 19*x**6/840 + x**4/12 + 8*x**3 + 194*x. Let k(c) be the third derivative of l(c). Factor k(u).
2*u*(u + 57)/7
Let u(x) be the third derivative of -x**5/60 - 65*x**4/24 + 84*x**3 - 81*x**2 + x. Factor u(v).
-(v - 7)*(v + 72)
Solve -11569*m**3 - 20*m - 11559*m**3 + 23133*m**3 = 0 for m.
-2, 0, 2
Let z = -452 + 455. Let g(x) = 2*x**2 + 44*x - 14. Let q(w) = w**2 + 15*w - 4. Let t(b) = z*g(b) - 8*q(b). Suppose t(o) = 0. What is o?
1, 5
Let c(d) be the third derivative of -d**7/945 + 23*d**6/540 + 5*d**5/27 - 398*d**2. Factor c(f).
-2*f**2*(f - 25)*(f + 2)/9
Let c(u) be the second derivative of u**4/54 + 2002*u**3/27 + 1002001*u**2/9 + 9*u + 221. Suppose c(j) = 0. Calculate j.
-1001
Let n = 252 + -250. Determine r so that 5*r**4 + 9*r + 55*r**3 + 105*r**n - 189*r + 15*r*