ose 0*i**3 - 4/5*i**4 + 4/5*i**m + 0 - 2/5*i + 2/5*i**5 = 0. Calculate i.
-1, 0, 1
Let t(d) be the third derivative of -d**6/120 + 61*d**5/60 - 10*d**2 - 2*d. Suppose t(j) = 0. What is j?
0, 61
Let s be (3551/201 - ((-3)/(-3))/(-3))/10. Factor s*x**4 - 28/5*x + 4/5 - 42/5*x**3 + 61/5*x**2.
(x - 2)**2*(3*x - 1)**2/5
Solve -4/5*a - 1/5*a**3 + 0 + a**2 = 0 for a.
0, 1, 4
Let u be 7436/8560 - (-15)/(-25). Let n = u - 2/107. Factor 0*v + 0 - n*v**2.
-v**2/4
Let 2/3*g**4 + 2/15*g**5 - 2/5*g**3 - 4/3*g - 34/15*g**2 + 0 = 0. Calculate g.
-5, -1, 0, 2
Suppose 75 + 70 = -29*q. Let i be 54/10 + -1 + q + 1. Factor -i*r - 2/5*r**2 + 12/5.
-2*(r - 2)*(r + 3)/5
Let k(o) be the second derivative of 1/9*o**3 - o**2 + 0 + 1/90*o**5 + 5/54*o**4 - 4*o. Factor k(f).
2*(f - 1)*(f + 3)**2/9
What is u in -4/3*u**2 + 4/9*u**3 - 84*u - 3332/9 = 0?
-7, 17
Suppose 0 = 87*o + 23*o. Suppose -40/3*p - 10/3*p**2 + 65/3*p**3 + o - 5*p**4 = 0. What is p?
-2/3, 0, 1, 4
Let v(t) = -t**2 + 12*t + 16. Let a be v(13). Determine l, given that 12*l**a - 18*l**2 + 11*l**2 + 11*l**2 + 12*l**4 + 4*l**5 = 0.
-1, 0
Let c be 9/(-5) - (-890)/300. Suppose 13/6*f**4 + 0 - 2/3*f**5 - 1/6*f - 5/2*f**3 + c*f**2 = 0. What is f?
0, 1/4, 1
Let r(p) be the third derivative of p**7/70 - p**6/40 - 3*p**5/20 + 5*p**4/8 - p**3 + 2*p**2 - 17. Suppose r(h) = 0. What is h?
-2, 1
Let i be (2 + 2)*(-14)/(-8). Factor 0*n**2 + 5 - i + 2*n**2.
2*(n - 1)*(n + 1)
Let t(c) = 5*c**4 + 17*c**3 - 55*c**2 - 74*c + 187. Let i(h) = 5*h**4 + 16*h**3 - 55*h**2 - 72*h + 186. Let u(k) = -7*i(k) + 6*t(k). Factor u(f).
-5*(f - 2)**2*(f + 3)**2
Let d(h) be the third derivative of -1/12*h**3 + 0 - 1/120*h**6 + 0*h - 19*h**2 + 1/420*h**7 + 1/24*h**4 + 0*h**5. Factor d(r).
(r - 1)**3*(r + 1)/2
Let z(i) = i + 2. Let c be z(8). Let f(j) = -j**2 + 20*j - 12. Let b be f(10). Factor 4*w**2 + 32*w - 2*w**3 - b - c*w**3 + 104.
-4*(w - 2)*(w + 1)*(3*w + 2)
Let w(d) = -880*d**3 - 1365*d**2 - 540*d - 55. Let j = 13 + 32. Let g(y) = 80*y**3 + 124*y**2 + 49*y + 5. Let t(k) = j*g(k) + 4*w(k). Let t(o) = 0. What is o?
-1, -1/4
Let n be 405/(-540)*(-32)/18. Let -4/3*q - 1/3*q**4 + 4/3 - q**2 + n*q**3 = 0. What is q?
-1, 1, 2
Suppose 9*q - 27 + 9 = 0. Determine z so that 4*z**2 + q*z**5 - 3*z**3 + 6*z**4 + 2*z**4 + 13*z**3 = 0.
-2, -1, 0
Let z(i) be the first derivative of -i**8/5880 + i**7/1470 - i**6/1260 + 20*i**3/3 + 20. Let v(p) be the third derivative of z(p). Let v(f) = 0. What is f?
0, 1
Let g(i) be the third derivative of 8*i**2 + 0*i + 0 - 1/16*i**4 + 0*i**3 + 1/40*i**5. Factor g(a).
3*a*(a - 1)/2
Let g(t) be the second derivative of t**5/4 - 5*t**4/6 - 25*t**3/6 + 15*t**2 - 218*t. Find d, given that g(d) = 0.
-2, 1, 3
Suppose -1333*r + 1337*r = o + 7, 0 = -4*o + 4. Let 3/4*d + 0 + 1/8*d**r = 0. What is d?
-6, 0
Let b = 22 - 17. Suppose 19 = b*h - 2*h - 2*i, -28 = -h + 5*i. Determine v so that 95*v**h + 2*v**2 + 0*v**2 - 96*v**3 = 0.
0, 2
Let j(z) be the second derivative of -3*z**5/20 - 7*z**4/48 + z**3/3 + 3*z**2/8 + 191*z. Factor j(q).
-(q + 1)*(3*q + 1)*(4*q - 3)/4
Suppose 2*u - 4*u = -3*x + 11, -u + 12 = 2*x. Let a(m) be the third derivative of -1/660*m**6 + 0*m**3 + 0*m**4 + 0 + 1/330*m**x - 3*m**2 + 0*m. Factor a(z).
-2*z**2*(z - 1)/11
Let c(w) be the second derivative of 1/8*w**4 - 5/4*w**3 + 9/2*w**2 + 21*w + 0. Suppose c(l) = 0. Calculate l.
2, 3
Factor 0 - 32/5*i**3 + 168/5*i - 4/5*i**4 - 4/5*i**2.
-4*i*(i - 2)*(i + 3)*(i + 7)/5
Let t(o) be the third derivative of 0*o - 14*o**2 + 0*o**4 + 3/20*o**5 + 0*o**3 - 1/10*o**6 + 0 + 1/70*o**7. Factor t(j).
3*j**2*(j - 3)*(j - 1)
Let h = 3128/65 + -610/13. Factor 8/5 - h*z**2 - 8/5*z.
-2*(z + 2)*(3*z - 2)/5
Let l(k) be the first derivative of 4*k**3/3 + 420*k**2 + 44100*k - 302. Suppose l(f) = 0. What is f?
-105
Let i(v) be the first derivative of -10 + 2*v**2 - 3*v - 1/3*v**3. Determine k, given that i(k) = 0.
1, 3
Let f be 981/872*(-8)/(-3). Suppose 4/9*r + 1/9*r**f - 5/9*r**5 - 17/9*r**2 + 4/9 + 13/9*r**4 = 0. Calculate r.
-1, -2/5, 1, 2
Let r(s) be the first derivative of 1/27*s**3 - 1 - 4/3*s + 2/9*s**2. Let r(f) = 0. Calculate f.
-6, 2
Let p(d) = 3*d**4 - 9*d**3 + 26*d**2 - 20*d. Let g(t) = -4*t**4 + 8*t**3 - 26*t**2 + 22*t. Let n(q) = 2*g(q) + 3*p(q). Solve n(a) = 0 for a.
0, 1, 2, 8
Let g(s) be the second derivative of s**6/15 + 2*s**5/5 - 8*s**4/3 - 64*s**3/3 + 389*s. Solve g(w) = 0 for w.
-4, 0, 4
Let u = 6792 - 6789. Let 141/2*p**2 + 3/2 - 96*p**5 + 78*p**u - 72*p**4 + 18*p = 0. Calculate p.
-1, -1/4, 1
Let q = 659 + -659. Let r(v) be the third derivative of q*v + 1/105*v**5 - 1/392*v**8 + 2*v**2 + 0*v**3 + 0 + 0*v**4 + 1/420*v**6 - 4/735*v**7. Factor r(z).
-2*z**2*(z + 1)**2*(3*z - 2)/7
Let r(i) be the third derivative of 0*i**3 - 1/8*i**4 + 28*i**2 + 0 + 1/20*i**5 + 0*i. Let r(q) = 0. Calculate q.
0, 1
Let v(k) be the third derivative of -k**7/630 + k**6/360 + k**5/60 - k**4/72 - k**3/9 + 73*k**2. Factor v(d).
-(d - 2)*(d - 1)*(d + 1)**2/3
Let j = 12586/13 + -968. Determine w so that j*w + 8/13*w**2 + 0 + 4/13*w**4 + 10/13*w**3 = 0.
-1, -1/2, 0
Let t(c) be the second derivative of c**4/8 - 7*c**3/2 - 24*c**2 + 7*c + 29. Factor t(y).
3*(y - 16)*(y + 2)/2
Factor -3*d**2 + 1 + 3*d**3 + d - 6 - d**4 + 1 + 4.
-d*(d - 1)**3
Let i(y) be the third derivative of y**5/20 + 9*y**4/8 - 11*y**3 + 43*y**2 - 5*y. Factor i(v).
3*(v - 2)*(v + 11)
Let u = -51 + 9. Let n be ((-10)/(-35))/((-6)/u). Determine p, given that 1/3*p**4 + 0 + 0*p - 2/3*p**3 + 1/3*p**n = 0.
0, 1
Let z(m) be the first derivative of m**4/22 + 32*m**3/11 + 768*m**2/11 + 8192*m/11 + 68. Solve z(c) = 0 for c.
-16
Let p(u) be the second derivative of -u**6/120 + 3*u**5/20 - 7*u**4/16 + 5*u**3/12 - 59*u. Factor p(o).
-o*(o - 10)*(o - 1)**2/4
Suppose -12 = -5*h + x + 2, 2*h + 4 = -2*x. Determine m, given that 1/7*m**h - 2/7 - 1/7*m = 0.
-1, 2
Let v(p) be the first derivative of -2*p**5/45 + p**4/3 - 2*p**3/9 - 10*p**2/9 - 1037. Let v(c) = 0. Calculate c.
-1, 0, 2, 5
Let h be ((-9)/(7 + 29))/((-20)/32). Factor 2/5 - h*j**2 + 7/5*j**3 - 7/5*j.
(j - 1)*(j + 1)*(7*j - 2)/5
Factor -6*x**2 + 57 - 81 + x**3 + 4*x**3 + 32*x - 7*x**3.
-2*(x - 2)*(x - 1)*(x + 6)
Let k(u) be the first derivative of -u**6/51 - 18*u**5/85 - 3*u**4/34 + 146*u**3/51 - 96*u**2/17 + 72*u/17 - 83. Suppose k(q) = 0. Calculate q.
-6, 1
Let z(b) be the first derivative of -18 + 0*b + 0*b**3 + 0*b**2 - 1/16*b**4 + 1/48*b**6 - 1/40*b**5. Determine p, given that z(p) = 0.
-1, 0, 2
Let n(t) be the third derivative of -t**6/160 + t**5/16 - t**4/8 - 42*t**2. Solve n(g) = 0 for g.
0, 1, 4
Let j(h) = 3*h**3 - 23*h**2 - 48*h - 35. Let p(r) = -2*r**3 + 12*r**2 + 24*r + 17. Let x(s) = -3*j(s) - 5*p(s). Determine n, given that x(n) = 0.
-5, -2
Let z(n) be the first derivative of n**6/3 - 2*n**5 + 3*n**4 + 69. Factor z(p).
2*p**3*(p - 3)*(p - 2)
Let l = -5441 - -5445. Determine k so that 2/7 - 1/7*k**l + 3/7*k - 3/7*k**3 - 1/7*k**2 = 0.
-2, -1, 1
Let l = 19527 - 97627/5. Factor -l*p**3 + 12/5*p**4 + 12/5*p - 4/5*p**5 - 8/5*p**2 - 4/5.
-4*(p - 1)**4*(p + 1)/5
Let l(s) = 69*s - 66. Let f be l(1). Factor 3/2*v**f + 1/4*v**4 + 3*v + 13/4*v**2 + 1.
(v + 1)**2*(v + 2)**2/4
Let v be (12/14)/((-22)/(-77)). Find f such that -20*f**4 - 5*f**4 - 40*f - 17 + 45*f**2 + 40*f**3 - v = 0.
-1, -2/5, 1, 2
Let h be 1 - (1/(-3))/((-5)/(-15)). Factor -u + 4*u**3 + 2*u**3 - u**h - 1 + 2*u**2 - 5*u**3.
(u - 1)*(u + 1)**2
Let c(j) be the third derivative of j**5/120 + j**4/3 + 7*j**3/3 - 318*j**2. Factor c(l).
(l + 2)*(l + 14)/2
Suppose 3*u = 6*u + 4*i - 224, -u - 4*i + 88 = 0. Let q = 70 - u. Suppose 0 - 2/9*g**3 + 2/3*g + 4/9*g**q = 0. Calculate g.
-1, 0, 3
Determine v, given that -24/11*v**3 - 20/11*v**4 - 8/11 + 6/11*v**5 + 18/11*v + 28/11*v**2 = 0.
-1, 1/3, 1, 4
Let z = 316 + -313. Let a(m) be the second derivative of 5*m + 1/24*m**4 - 1/12*m**z + 0 + 0*m**2. Factor a(y).
y*(y - 1)/2
Let x = 304328/253615 - -2/50723. Determine i so that -9/5 - x*i + 3/5*i**2 = 0.
-1, 3
Let o(j) = -24*j + 354. Let g be o(14). Let d(q) = 2*q**2 - 4. Let m be d(-4). Let -6*r + 26*r - 26 + m*r**2 + g = 0. What is r?
-1, 2/7
Suppose 5*m = 14 + 6. Determine w so that 21*w**3 - 35*w**2 - 4*w**2 + 43*w**3 + 4 - 25*w**2 - m*w = 0.
-1/4, 1/4, 1
Let f(d) be the second derivative of 12 + 3/5*d**5 + d - 5/3*d**4 + 