*f**2 + 7302*f**2 + 0*f**3 + 4*f**4 - 3*f**3 - f**5 + 4*f = 0.
-1, 0, 1, 2
Let k(a) be the first derivative of -6*a**4/5 - 1310*a**3/3 + 274*a**2/5 + 546*a/5 - 6076. Find u such that k(u) = 0.
-273, -1/4, 1/3
Let f(u) be the first derivative of u**5/15 - 11*u**4/12 - 55*u**3/9 - 73*u**2/6 - 10*u - 129. What is l in f(l) = 0?
-2, -1, 15
Let a be (((-116)/12)/29 + (-1)/(-2))*10. Factor -5/3*i**2 - a*i**3 + 560/3 + 200/3*i.
-5*(i - 7)*(i + 4)**2/3
Let c(f) be the third derivative of 1/30*f**6 + 0*f + 11/6*f**4 - 4*f**3 + 0 - 2/5*f**5 + 7*f**2. Factor c(l).
4*(l - 3)*(l - 2)*(l - 1)
Factor 65/3*q**3 + 293*q**2 + 752/3 + 1567/3*q + 1/3*q**4.
(q + 1)**2*(q + 16)*(q + 47)/3
Let z(g) be the first derivative of -g**5/210 - g**4/21 + 32*g**2/21 + 23*g - 55. Let h(q) be the first derivative of z(q). Factor h(p).
-2*(p - 2)*(p + 4)**2/21
Let v be 0/(7 + (-11 - -8)). Suppose -8*t - 31 = -13*t + 2*h, v = -t - h + 9. What is c in 49/2 + 1/2*c**2 + t*c = 0?
-7
Let z(u) be the third derivative of -1/48*u**6 + 0*u - 7/120*u**5 + 0*u**3 + 0 - 34*u**2 - 1/16*u**4 - 1/420*u**7. Determine t so that z(t) = 0.
-3, -1, 0
Let v be -2 + 1 - (-1 - (1 + 1)). Suppose -3 = v*i - 4*c - 7, 0 = -i + 4*c + 4. Factor -3*d**2 + 5*d + d + i*d + 9 + 0.
-3*(d - 3)*(d + 1)
Let j(o) be the third derivative of -26*o**2 - o + 2/5*o**3 - 1/560*o**8 + 0 + 4/175*o**7 - 17/40*o**4 + 7/25*o**5 - 11/100*o**6. Factor j(q).
-3*(q - 4)*(q - 1)**4/5
Let f(r) be the second derivative of -r**4/12 + 9*r**3/2 + 45*r**2 - 2629*r + 2. Factor f(o).
-(o - 30)*(o + 3)
Suppose 0*u = 3*u - 5*b - 145, u - 2*b - 50 = 0. Let y = 43 - u. Factor -m**4 - 23 + 20*m**2 - 8*m**y + 8*m + 23 - 19*m**4.
-4*m*(m - 1)*(m + 1)*(5*m + 2)
Let g be 23 + -29 + 351/(-1). Let c be (-1207)/g - (-10)/(-6). Factor -c + 6/7*b**2 - 2*b.
2*(b - 3)*(3*b + 2)/7
Let n(o) be the first derivative of -o**7/840 + o**6/120 - o**4/6 - 224*o**3/3 + 30. Let k(h) be the third derivative of n(h). Let k(b) = 0. Calculate b.
-1, 2
Let g(h) be the second derivative of 3/5*h**3 + 1/20*h**4 + 27/10*h**2 - 1 + 18*h. Suppose g(z) = 0. Calculate z.
-3
Let h = -558 - -508. Let v be h/(-15) - 7 - (-8)/2. Factor -2/3*s**3 - 1/3*s**4 + 2/3*s**2 + 1/3*s + 1/3*s**5 - v.
(s - 1)**3*(s + 1)**2/3
Let z(j) = j**5 + 2*j**3 + 2*j**2 - 1. Let o(l) = -2*l**5 + 9*l**4 - 16*l**3 - 46*l**2 - 24*l + 5. Let a(y) = -o(y) - 5*z(y). Let a(q) = 0. Calculate q.
-2, -1, 0, 2
Factor -2/11*f**2 + 48/11 - 46/11*f.
-2*(f - 1)*(f + 24)/11
Let t = -455 + 524. Let r be 6 - (-6 + t/6). Factor r + 2/3*x + 1/6*x**2.
(x + 1)*(x + 3)/6
Find y such that 0 - 20*y**2 - 24/5*y - 58/5*y**3 - 7/5*y**4 = 0.
-6, -2, -2/7, 0
What is p in -265*p**2 - 2856 - 239*p**2 - 245*p**2 + 260*p + 745*p**2 = 0?
14, 51
Suppose -3*l = -6, 5*v - 2*l - 128 + 107 = 0. What is x in 0*x + 0 - 5*x**v - 5/2*x**2 + 35/4*x**3 + 25/4*x**4 = 0?
-1, 0, 1/4, 2
Let y(t) = 43*t + 863. Let i be y(-20). Let h be (-8)/(-42)*(-21)/(-18). Find a, given that 2/9*a - h + 2/9*a**2 - 2/9*a**i = 0.
-1, 1
Suppose 7*k = 4*k - p + 32, 5 = -5*p. Determine t so that k*t**4 - 75*t + 2720*t**2 + 4*t**4 + 18 - 69*t**3 - 2609*t**2 = 0.
3/5, 1, 2
Let s(d) be the second derivative of d**6/240 + 7*d**5/80 - 17*d**4/32 + d**3/12 + 17*d**2/4 - 2854*d. Find r, given that s(r) = 0.
-17, -1, 2
Determine u so that 51*u - 122*u**3 + 270 - 111*u**3 - 61*u**2 + 17*u**2 + 232*u**3 = 0.
-45, -2, 3
Let b(d) be the second derivative of -3*d + 0*d**2 + 1/6*d**4 - 13 - 19/3*d**3. Factor b(o).
2*o*(o - 19)
Let o = 1175/11 + -424142/3971. Let l = 397/4332 - o. Let l*q**3 + 35/12*q - 49/12 + 13/12*q**2 = 0. Calculate q.
-7, 1
Suppose -16/3 + 248/3*w**3 - 45*w**2 + 16/3*w**4 - 113/3*w = 0. What is w?
-16, -1/4, 1
Let r be (-31 - (-64 + 42)) + 13. Solve -r*s**2 - 10/3*s**3 + 0 + 2/3*s**4 + 0*s = 0.
-1, 0, 6
Let f(u) = -72*u**4 + 776*u**3 - 3031*u**2 + 3002*u + 7. Let j(h) = 51*h**4 - 517*h**3 + 2021*h**2 - 2002*h - 5. Let v(i) = -5*f(i) - 7*j(i). Solve v(s) = 0.
0, 2, 83
Let l be 23 + 69 + 5*-1. Let 319 - 1445 - 395 - 697*j + 69*j - 113*j - 3*j**3 - l*j**2 = 0. What is j?
-13, -3
Suppose -4*c + 8*p = 11*p + 4, -4*c + 24 = -4*p. Factor 27*w + 2*w + 31*w - 210*w**2 + 214*w**c + 104.
4*(w + 2)*(w + 13)
Let w(j) be the first derivative of -j**6/48 - 11*j**5/40 - 39*j**4/32 - 61*j**3/24 - 11*j**2/4 - 3*j/2 - 1576. What is c in w(c) = 0?
-6, -2, -1
Let t(m) be the second derivative of m**6/40 + m**5/5 + 3*m**4/8 + 8*m**2 - m + 5. Let l(z) be the first derivative of t(z). Determine c so that l(c) = 0.
-3, -1, 0
Find u such that -5341*u**3 - 5709*u**3 - 44*u**2 + 11470*u**3 + 144*u**4 - 2*u - 16*u - 5*u + 3 = 0.
-3, -1/4, 1/6
Factor -4101*f**2 - 4*f**4 + 14784*f - 178*f**3 + 158*f**3 + 236*f**3 - 11520 + 625*f**2.
-4*(f - 24)**2*(f - 5)*(f - 1)
Let m(l) = l**3 + 7*l**2 - 2*l - 4. Let d(z) = z**3 - 4*z**2 - 12*z - 7. Let n be d(6). Let f be m(n). Factor 12*k**2 - 19*k + 5*k - 12*k**3 + 4*k**4 + f*k.
4*k*(k - 1)**3
Suppose v - 22 = -10*v. Let a(h) be the second derivative of 1/80*h**5 - 7*h + 0 + 0*h**v + 1/24*h**3 - 1/24*h**4. Solve a(t) = 0.
0, 1
Let h(i) be the third derivative of i**7/504 + i**6/48 + i**5/12 - 3*i**4/8 - i**3/6 + 10*i**2 - 3. Let n(b) be the second derivative of h(b). Factor n(f).
5*(f + 1)*(f + 2)
Determine v, given that -8*v**5 - 536*v + 86 + 44 + 13*v**2 - 17*v**2 - 64*v**2 - 62*v**4 + 544*v**3 = 0.
-13, -1, 1/4, 1, 5
Let z be (3/1)/(15114/44). Let f = 436/2519 + z. Determine l, given that -4/11*l**4 + 2/11*l**2 + 0 + 0*l - f*l**3 = 0.
-1, 0, 1/2
Let j(t) be the third derivative of -7/4*t**6 - 11/42*t**7 + 135/2*t**3 + 45/8*t**4 - 2*t**2 - 9/2*t**5 + 11*t + 0 - 5/336*t**8. Solve j(a) = 0 for a.
-3, 1
Let f(g) be the second derivative of -g**5/10 + 5*g**4/3 + 869*g**3 - 60984*g**2 + g + 1780. Factor f(z).
-2*(z - 33)**2*(z + 56)
Suppose -3*x - 2*h - 191 = -175, -4*x + 24 = -3*h. Factor -48/5*v + x + 3/5*v**2.
3*v*(v - 16)/5
Let t = 3245 + -6489/2. Let k(i) be the second derivative of -3/20*i**5 + t*i**3 + 0 - 3*i**2 - 13*i + 1/2*i**4. Factor k(y).
-3*(y - 2)*(y - 1)*(y + 1)
Let h = -252 - -168. Let y = h - -86. Let -3 - 9/2*c - 3/2*c**y = 0. Calculate c.
-2, -1
Let k = 167/66 + 25/22. Let x(d) be the first derivative of -13 - 9/4*d**4 + k*d**3 - 4*d + 8*d**2. Let x(o) = 0. Calculate o.
-1, 2/9, 2
Let b(m) = -2809*m - 16852. Let f be b(-6). Factor -5*s**3 + 33/4*s**f + 1 + s**4 - 5*s.
(s - 2)**2*(2*s - 1)**2/4
Let b(w) be the second derivative of -w**7/280 - 19*w**6/60 - 3*w**3 - 2*w**2 - 2*w - 68. Let t(i) be the second derivative of b(i). Factor t(r).
-3*r**2*(r + 38)
Let i(k) be the second derivative of -77*k + 1/21*k**7 + 0*k**4 - 1/3*k**6 + 2/5*k**5 + 0*k**2 + 0 + 0*k**3. Factor i(d).
2*d**3*(d - 4)*(d - 1)
Let v(o) be the first derivative of -8*o**3/9 - 239*o**2/3 + 40*o - 3616. Factor v(t).
-2*(t + 60)*(4*t - 1)/3
Suppose -210 + 1640*q - 152 - 64 + 704 - 35*q**2 - 43 = 0. What is q?
-1/7, 47
Let 1458 - 7*b**3 + 135*b**2 + 1/8*b**4 - 972*b = 0. What is b?
2, 18
Let m be (-10 + 66)/4 - ((-590)/(-55) - -2). Find l, given that -5/11*l + m - 1/11*l**2 = 0.
-7, 2
Let k(z) be the first derivative of -2*z**3/45 - 71*z**2/15 - 336*z/5 + 2408. Factor k(u).
-2*(u + 8)*(u + 63)/15
Let d = -5/53986 - -54031/485874. Factor 4/9*i**2 + 4/9*i - d*i**4 - 1/9*i**3 + 0.
-i*(i - 2)*(i + 1)*(i + 2)/9
Let k(b) = 16*b**2 + 98*b + 14. Let p be k(-6). Solve 2450*q**p + 420*q + 0*q - 360 - 469*q**3 + 2184*q**3 = 0.
-6/7, 2/7
Suppose 12*h - 169 = -133. Let l(s) = -s**3 - 5*s**2 - 4*s + 2. Let j be l(-4). Determine d so that 2*d - h*d**2 + 5*d**j + 2*d = 0.
-2, 0
Let t(r) be the first derivative of -24*r - 71 + 3/4*r**4 - 6*r**3 - 45/2*r**2. Suppose t(h) = 0. What is h?
-1, 8
Let x = -163/408 + 65/51. Let c(v) be the second derivative of 0 - 3/2*v**2 - x*v**4 - 10*v + 3/20*v**5 + 7/4*v**3. Solve c(a) = 0 for a.
1/2, 1, 2
Let t = -842/5 + -601/5. Let a = 292 + t. Determine v, given that 16/5 + a*v**2 - 8*v - 2/5*v**3 = 0.
1/2, 4
Let z = 6259/79 - 24641/316. Solve -3 + z*k + 3/2*k**2 + 1/4*k**3 = 0.
-4, -3, 1
Find g, given that 12 - 164*g - 46*g**2 + 25*g**2 + 3*g**2 - 38*g**2 = 0.
-3, 1/14
Let g = 877 + -877. Suppose g = t + 3, 0 = 5*n + 2*t + t + 9. What is y in -4/21*y + n + 2/21*y**2 = 0?
0, 2
Let s(f) be the third derivative of -f**5/240 - 133*f**4/12 - 35378*f**3/3 - 54