61*c = d*c + k + 5. Solve c - 75/8*s**3 - 9/2*s**4 + 0*s - 9/4*s**2 + 21/8*s**5 = 0 for s.
-1, -2/7, 0, 3
Let b be (-215)/645*(1 + 0 + -64). Factor -4*u + u**2 - b*u**2 - 28*u + 19*u**2.
-u*(u + 32)
Let n = -97490 + 97492. Suppose 1/5*a - 1/5*a**3 - 1/5*a**n + 1/5 = 0. What is a?
-1, 1
Let k(a) be the first derivative of -52*a**3/3 - 142*a**2 + 336*a - 1224. Determine n, given that k(n) = 0.
-84/13, 1
Let o(c) = -c**3 - 14*c**2 + 15*c + 3. Let a be o(-15). Solve 5 - 12*b**a + 5*b**4 + 14*b**3 - 8*b**4 - 5 + b**5 = 0.
0, 1, 2
Let y be (4784/19734)/((-2)/(-24)). Solve 76/11 - 10*b + y*b**2 + 2/11*b**3 = 0.
-19, 1, 2
Let l(n) be the second derivative of 47*n**3/3 - 51*n**2/2 - 31*n. Let v be l(6). Let 5*y**2 + 3*y + v - 523 + 2*y = 0. What is y?
-2, 1
Let x(r) be the second derivative of r**6/10 + 9*r**5/5 - 2315*r + 2. Factor x(u).
3*u**3*(u + 12)
Determine r, given that 80/3*r - 34/3*r**2 + 2/3*r**5 - 82/3*r**3 - 22/3*r**4 + 56/3 = 0.
-2, -1, 1, 14
Let a(w) be the second derivative of -2*w**7/189 - 8*w**6/135 + 650*w. Let a(d) = 0. Calculate d.
-4, 0
Let r(u) be the second derivative of 0 + 0*u**2 - 3/20*u**5 - 3*u**3 - 11/4*u**4 + 2/5*u**6 - 18*u. Factor r(l).
3*l*(l - 2)*(l + 1)*(4*l + 3)
Solve -119*f**3 + 56*f**3 + 36*f**3 + 3*f**5 + 18*f**4 - 42*f**2 = 0.
-7, -1, 0, 2
Let q(w) be the second derivative of w**5/110 - 34*w**4/33 + 640*w**3/33 + 19200*w**2/11 + 903*w. Suppose q(j) = 0. What is j?
-12, 40
Let z(r) be the first derivative of 9*r**3 - 3/10*r**5 + 3/2*r**4 + 21/2*r + 15*r**2 - 44. Determine a so that z(a) = 0.
-1, 7
Let o(k) = -k**2 - 1. Let l(j) = -10*j**2 - 5*j + 15. Let h(x) = 8*x**2 + 5*x - 14. Let p(f) = 6*h(f) + 5*l(f). Let i(v) = -6*o(v) + 2*p(v). Solve i(g) = 0.
-6, 1
Let b(q) = -q**3 - 43*q**2 + 301*q - 251. Let s(g) = -g**3 + g**2 - g + 4. Let m(h) = 3*b(h) - 6*s(h). Factor m(a).
3*(a - 37)*(a - 7)*(a - 1)
Let o(h) = -h**2. Let l(d) = -3*d**3 - 7 - 6 + 4*d**3 + 13*d - 15*d**2 + 7. Let t(z) = 3*l(z) - 21*o(z). Factor t(u).
3*(u - 6)*(u - 1)**2
Let b(l) be the second derivative of l**5/30 + 425*l**4/9 + 59924*l**3/3 - 120984*l**2 - 8457*l. Let b(k) = 0. What is k?
-426, 2
Suppose -4*y - 8 = 0, 37 = 5*t - 0*y - y. Let x = t + -5. Let 4*k - 26 - x*k**2 + 26 = 0. What is k?
0, 2
Let v(m) be the first derivative of m**4/2 + 52*m**3/3 - 4*m**2 - 208*m - 3990. Factor v(f).
2*(f - 2)*(f + 2)*(f + 26)
Factor 80*a**3 + 0*a**2 + 6*a**2 + 10*a**2 + 71*a**4 - 99*a**4 - 128*a.
-4*a*(a - 2)**2*(7*a + 8)
Let q(c) be the third derivative of 5*c**8/1344 - c**7/12 - 7*c**6/32 + 307*c**5/24 + 25*c**4/24 - 125*c**3 + 508*c**2. Find h such that q(h) = 0.
-6, -1, 1, 10
Let w(o) be the first derivative of 17/19*o**2 - 100 - 12/19*o - 10/57*o**3. Suppose w(n) = 0. Calculate n.
2/5, 3
Let i(s) be the second derivative of s**6/240 - 23*s**5/120 - 49*s**4/48 - 25*s**3/12 + 19*s**2/2 - 26*s. Let l(x) be the first derivative of i(x). Factor l(m).
(m - 25)*(m + 1)**2/2
Let o be (-3 - -12) + (-8942)/1578. Factor 2/3*j**5 + 2 - 4*j**3 - 2/3*j**4 - 4/3*j**2 + o*j.
2*(j - 3)*(j - 1)*(j + 1)**3/3
Let m(c) be the first derivative of -8*c**2 - 5/6*c**3 - 31 - 18*c + 1/8*c**4. Factor m(b).
(b - 9)*(b + 2)**2/2
Suppose -42*g + 2607 = -2223. Let y be (-4)/(-20)*g/6. Factor 0 + y*w**2 - 7/6*w**3 - w.
-w*(w - 3)*(7*w - 2)/6
Let m = 101 + -98. Let k(n) = -3*n**2 - 347*n - 2890. Let h(l) = 2*l**2 + 173*l + 1445. Let f(w) = m*k(w) + 7*h(w). Factor f(b).
5*(b + 17)**2
Suppose 0 = 4*c - 7 + 3, 2*c + 608 = 5*x. Suppose -2*k**3 + x*k**2 + 2*k**3 - 3*k**3 - 119*k**2 = 0. Calculate k.
0, 1
Factor -2/13*w**2 - 792/13 - 94/13*w.
-2*(w + 11)*(w + 36)/13
Let s(d) be the third derivative of -d**7/315 - 13*d**6/100 - 223*d**5/225 - 3*d**4 - 152*d**3/45 + 209*d**2 + 1. What is i in s(i) = 0?
-19, -2, -2/5
Let u be ((-1808)/20792)/((-1)/23). Factor 9 + 4*y - 1/4*y**u.
-(y - 18)*(y + 2)/4
Let a be 45/36 - (2/(-35) - 7446/2920). Find u such that -a*u**2 + 12/7 - 15/7*u = 0.
-1, 4/9
Factor -1/3*a**3 - 64/3*a**2 - 134/3 + 199/3*a.
-(a - 2)*(a - 1)*(a + 67)/3
Let u(a) = -4*a**4 - 12*a**3 - 39*a**2 + 163*a + 375. Let v(o) = 9*o**4 + 23*o**3 + 77*o**2 - 327*o - 747. Let t(q) = -14*u(q) - 6*v(q). Factor t(w).
2*(w - 3)*(w + 2)*(w + 8)**2
Let u(m) be the first derivative of -4*m**6/3 + 8*m**5/5 + 27*m**4/2 - 44*m**3/3 - 44*m**2 + 48*m - 409. Find j such that u(j) = 0.
-2, -3/2, 1/2, 2
Let p be -5 + 2/((-10)/(-15)). Let y be p/((-55)/14 + 4)*-1. Let -y*k**2 + 5*k - k + 14*k - 8 + 18*k = 0. Calculate k.
2/7, 1
Let b(l) be the first derivative of l**4/6 + 2*l**3/3 - 15*l**2 - 238*l + 80. Let g(k) be the first derivative of b(k). Factor g(y).
2*(y - 3)*(y + 5)
Let v(g) = -g**2 - 12*g + 2. Let r be v(-11). Suppose -126 - 147 = -r*j. Let k - 21 + 43 - 2*k**2 + k**4 + k**5 - j - 2*k**3 = 0. Calculate k.
-1, 1
Let a be 195/(-14) - ((-108)/(-8))/27. Let v = a + 15. Let -v*n**5 - 25/7*n**2 + 4/7*n + 0*n**3 + 12/7 + 13/7*n**4 = 0. What is n?
-1, -3/4, 1, 2
Let u(r) be the third derivative of 27*r**6/40 + 561*r**5/10 - 395*r**4/2 - 772*r**3 + 6*r**2 - 5*r - 13. Determine x, given that u(x) = 0.
-386/9, -2/3, 2
Factor 2*a**3 - 1292 + 935*a + 524 - 772*a**2 + 603*a.
2*(a - 384)*(a - 1)**2
Let k(t) be the first derivative of 6*t**3 + 1744*t**2 - 776*t - 711. Factor k(n).
2*(n + 194)*(9*n - 2)
Let g(w) be the second derivative of 0 + 25/36*w**3 + 5/2*w**2 + 5/72*w**4 + 55*w. Factor g(u).
5*(u + 2)*(u + 3)/6
Factor 49/3*k + 1/3*k**3 - 14/3*k**2 + 0.
k*(k - 7)**2/3
Let q(x) be the first derivative of -x**5/5 + 547*x**4/2 - 299209*x**3/3 - 385. Let q(r) = 0. Calculate r.
0, 547
Let s(q) be the third derivative of -q**7/840 - 23*q**6/480 + 13*q**5/40 - q**4/24 - 13*q**3/3 - 2*q**2 - 46. Find c, given that s(c) = 0.
-26, -1, 2
Let g be 40/48*(-34)/(-85). Let n(j) be the first derivative of 1/3*j**2 + 2 + 0*j - g*j**3 + 1/12*j**4. Let n(o) = 0. What is o?
0, 1, 2
Let k(v) = 17*v**4 - 46*v**3 + 360*v**2 + 342*v - 3249. Let y(r) = -2*r**4 + r**3 - r**2. Let x(m) = 3*k(m) + 24*y(m). Find f, given that x(f) = 0.
-3, 3, 19
Factor 2 - 1857*i**3 + 178*i + 19*i**3 + 3870*i**2 - 1954*i**3 - 258*i**3.
-2*(i - 1)*(45*i + 1)**2
Let u(d) be the first derivative of 90/7*d**2 - 52/21*d**3 + 200/7*d - 9/7*d**4 - 107 - 4/35*d**5. Determine o, given that u(o) = 0.
-5, -1, 2
Let d(h) be the second derivative of h**7/84 - 83*h**6/60 - 171*h**5/40 + 83*h**4/24 + 85*h**3/6 + 2223*h. Suppose d(t) = 0. Calculate t.
-2, -1, 0, 1, 85
Factor 1/3*h + 2 - 1/3*h**2.
-(h - 3)*(h + 2)/3
Let h(o) be the first derivative of o**4/114 + 2*o**3/19 - 13*o + 50. Let r(x) be the first derivative of h(x). Factor r(d).
2*d*(d + 6)/19
Let y(k) be the third derivative of -k**7/462 - 367*k**6/660 - 2989*k**5/55 - 26411*k**4/12 + 117649*k**3/66 + 7*k**2 - 47*k. Factor y(t).
-(t + 49)**3*(5*t - 1)/11
Let x(l) = -2*l**2 - 268*l - 10368. Let c(m) = -m**2 - 136*m - 5184. Let d(n) = -15*c(n) + 6*x(n). Factor d(t).
3*(t + 72)**2
Let f(j) = -5*j + 58. Let w be f(0). Factor 44*r**2 + w*r**2 - 103*r**2 - 8 - 6*r.
-(r + 2)*(r + 4)
Let j(u) = -5*u**3 - 100*u**2 - 375*u - 4. Let f(m) = -5*m**3 - 100*m**2 - 375*m - 5. Let y(o) = 4*f(o) - 5*j(o). Factor y(z).
5*z*(z + 5)*(z + 15)
Let y be (104/65)/(2/5 - 0). Factor 24/13*x**2 + 12/13*x**y - 2/13*x**5 - 2*x**3 + 0 - 8/13*x.
-2*x*(x - 2)**2*(x - 1)**2/13
Let g(o) be the third derivative of o**8/336 - 8*o**7/21 + 1993*o**6/120 - 1531*o**5/6 + 6239*o**4/6 - 5780*o**3/3 - 489*o**2 + 10. Find i, given that g(i) = 0.
1, 10, 34
Let m(h) be the second derivative of -461*h**6/30 - 2303*h**5/100 + h**4/30 + 2738*h. Factor m(f).
-f**2*(f + 1)*(2305*f - 2)/5
Factor -58*k**3 + 1/2*k**4 + 0 - 59*k - 235/2*k**2.
k*(k - 118)*(k + 1)**2/2
Let v = 87586 - 86836. Suppose v - 6225*x - 12*x**5 + 366*x**4 - 15123/4*x**3 + 27645/2*x**2 = 0. What is x?
1/4, 10
Let g(r) be the third derivative of 2*r**6/105 + 113*r**5/21 + 701*r**4/42 + 40*r**3/3 + 1641*r**2. Solve g(j) = 0.
-140, -1, -1/4
Let t(q) be the first derivative of q**6/160 + q**5/32 - 3*q**4/8 - 101*q**3/3 - 279. Let w(s) be the third derivative of t(s). Solve w(g) = 0.
-3, 4/3
Let h(d) be the first derivative of 0*d - 2/5*d**3 - 2/5*d**2 + 0*d**4 + 2/25*d**5 + 67. Factor h(u).
2*u*(u - 2)*(u + 1)**2/5
Suppose -69 + 9 = -12*m. Suppose 349 - 339 = m*u. Factor 2/13*p**u - 4/13*p + 2