f a**5/10 + 19*a**4/6 - 35*a**3 - 2475*a**2 - 2*a + 108. Let s(z) = 0. What is z?
-15, 11
Determine p, given that -116*p + 388 - 1804*p**2 + 1802*p**2 - 53*p - 21*p = 0.
-97, 2
Let j be -13 - 4*1/4. Let t(q) = -5*q**2 + 56*q + 385. Let n(f) = 2*f**2 - 28*f - 193. Let w(o) = j*n(o) - 6*t(o). Determine g, given that w(g) = 0.
-14
Let j(b) = 20*b**2 - 29130*b + 10628910. Let u(z) = 5*z**2 - 7282*z + 2657229. Let h(a) = -4*j(a) + 15*u(a). Suppose h(l) = 0. What is l?
729
Suppose 0 = 893*p - 326*p - 300*p - 363*p + 288. Suppose 0 + 2/5*l**p + 0*l + 24/5*l**2 = 0. What is l?
-12, 0
Let h(f) be the third derivative of -3*f**8/28 + 92*f**7/35 - 11*f**6/15 - 332*f**5/15 - 193*f**4/6 - 20*f**3 - f**2 - 18*f. Determine q so that h(q) = 0.
-1, -1/3, 2, 15
Let f(b) be the first derivative of b**3 - 15/2*b**2 - 120 + 3/4*b**4 + 9*b. Factor f(w).
3*(w - 1)**2*(w + 3)
Let p(w) = -w**2 + 5*w. Let l be p(4). Suppose 0 = -530*c + 315 + 594 + 151. Factor -3/5*b**c - 2/5*b + 0*b**3 + 0 + 1/5*b**l.
b*(b - 2)*(b + 1)**2/5
Let o(q) be the third derivative of q**7/1050 - 17*q**5/300 - 3*q**4/10 - 2*q**3/3 + 312*q**2. Let o(b) = 0. Calculate b.
-2, -1, 5
Let l(f) be the second derivative of 0 + 1/24*f**4 + 1/120*f**5 - 1/4*f**2 + 43*f - 1/36*f**3. Factor l(t).
(t - 1)*(t + 1)*(t + 3)/6
Let w(y) be the first derivative of -1/7*y**3 - 90/7*y - 51/14*y**2 + 14. Find r such that w(r) = 0.
-15, -2
Let w be 4/14*(-37 - 14883/(-396)). Let q(b) be the second derivative of 0 + w*b**3 + 17*b + 0*b**2 + 1/12*b**4. Factor q(u).
u*(u + 1)
Let c(d) be the first derivative of -d**4/20 - 72*d**3/5 - 851*d**2/10 - 636*d/5 - 8518. Determine s so that c(s) = 0.
-212, -3, -1
Let q(c) = -c**3 - 62*c**2 + 508*c + 1725. Let j be q(-69). Find m, given that j*m + 2/7*m**2 - 2/7*m**3 + 0 = 0.
0, 1
Let a(l) be the second derivative of -1/6*l**2 + 1 - 4*l - 1/18*l**3 + 1/36*l**4 + 1/60*l**5. Factor a(s).
(s - 1)*(s + 1)**2/3
Let l(p) be the first derivative of 87 - 2/3*p**3 + 2*p + 1/14*p**4 - 1/7*p**2. Find c such that l(c) = 0.
-1, 1, 7
Let r = -59182 - -59184. Factor 1/2*f + 0 + 0*f**3 - 1/4*f**4 + 3/4*f**r.
-f*(f - 2)*(f + 1)**2/4
Let s(u) be the first derivative of -u**3/18 + 4147*u**2/6 - 17197609*u/6 - 7784. Factor s(z).
-(z - 4147)**2/6
Let w(p) be the second derivative of -p**6/36 - p**5/30 + 71*p**4/72 - 55*p**3/18 + 4*p**2 + 22*p + 14. Let w(h) = 0. Calculate h.
-24/5, 1, 2
Factor 17*v**2 + 1/2*v**3 - 324 + 126*v.
(v - 2)*(v + 18)**2/2
Let k be (3/1 - 3) + 576. Factor 0 - 26 - 290*m + k*m**2 - 94 - 131*m**2 - 35*m**3.
-5*(m - 12)*(m - 1)*(7*m + 2)
Let g = -180 - -182. Determine i, given that 18*i**3 - 34*i**3 - 3*i**g + 17*i**3 + 2*i**2 = 0.
0, 1
Let z(u) = u**2 - 7*u - 88. Let v be z(13). Let h(f) = 5*f**2 + 50*f + 4. Let a be h(v). Factor 1/4*p + 0*p**2 + 1/8*p**a - 1/8 - 1/4*p**3.
(p - 1)**3*(p + 1)/8
Let s be (-5)/(6 + -5) + (-54)/(-2). Suppose -23*f**2 - s*f**2 + 3948*f - 3936*f = 0. What is f?
0, 4/15
Suppose -16/9*b**3 - 70/9*b**4 - 136/9 - 4/9*b**5 + 128/9*b + 314/9*b**2 = 0. Calculate b.
-17, -2, -1, 1/2, 2
Let l(s) be the second derivative of -3/2*s**3 - 1/3*s**2 + 2*s - 25/36*s**4 + 93. Factor l(q).
-(q + 1)*(25*q + 2)/3
Let u = -660665 - -660721. Factor -40/3 - u*m**2 - 54*m - 8/3*m**3.
-2*(m + 20)*(2*m + 1)**2/3
Suppose -3*g = -50*b + 250, 2*g + 0*g + 2*b = 10. Factor -6/11*s**4 + g*s + 24/11*s**2 + 70/11*s**3 + 0.
-2*s**2*(s - 12)*(3*s + 1)/11
Factor 77600/3*g + 80000 - 794/3*g**2 + 2/3*g**3.
2*(g - 200)**2*(g + 3)/3
Let s(p) be the third derivative of -p**7/210 + 5*p**6/24 + 61*p**5/60 - 193*p**4/24 + 18*p**3 + 586*p**2 + 2. Factor s(h).
-(h - 27)*(h - 1)**2*(h + 4)
Determine i so that -2/13*i**3 - 30*i - 198/13*i**2 - 194/13 = 0.
-97, -1
Let g(p) be the second derivative of -p**4/60 + 26*p**3/5 + 1129*p. Factor g(n).
-n*(n - 156)/5
Let q(h) be the first derivative of 99 + 12/7*h + 2/35*h**5 - 3/14*h**4 + h**2 - 2/7*h**3. Suppose q(b) = 0. What is b?
-1, 2, 3
Let i = 2614 + -26139/10. Let v(g) be the first derivative of -19 - 4/15*g**3 + 0*g**2 + i*g**4 + 0*g. Factor v(l).
2*l**2*(l - 2)/5
Determine x so that 6*x**2 - 114*x - x**4 + 3*x**5 - 5*x**4 - 11*x**3 - 16*x**3 + 138*x = 0.
-2, -1, 0, 1, 4
Suppose -1700*v**3 + 1697*v**3 - 204*v - 36*v**2 - 72*v**2 = 0. What is v?
-34, -2, 0
Let y(r) be the third derivative of -r**7/315 - r**6/36 + 61*r**5/90 - 67*r**4/36 - 44*r**3/3 + 357*r**2 + 4*r - 1. Find m, given that y(m) = 0.
-11, -1, 3, 4
Let m be (3 - (8 - 7)) + 6/(-2). Let u be 1*(3 - m) + -1 + 0. Suppose 4*j - u + 28*j - 9 + 4*j**4 - 24*j**2 = 0. Calculate j.
-3, 1
Suppose x + 4*j + 34 = 9*j, -4*x = -4*j + 72. Let b be (1*x/(-35))/((-15)/(-25)). Suppose -16/3*m + 32/3 + b*m**2 = 0. What is m?
4
What is w in -1/12*w**2 - 23/3*w + 95/4 = 0?
-95, 3
Suppose 70 + 260 = -10*v. Let s be v*56/(-312) + -5. Factor 10/13*q - 2/13*q**2 - s.
-2*(q - 3)*(q - 2)/13
Let k(d) be the third derivative of -d**8/10080 - d**7/2520 + 29*d**5/60 - 17*d**2. Let a(q) be the third derivative of k(q). Solve a(p) = 0.
-1, 0
Let j(h) = 54*h + 3515. Let z be j(-65). Let -16/17*b**4 - 10/17*b**z + 106/17*b - 20/17 - 188/17*b**2 + 128/17*b**3 = 0. Calculate b.
-5, 2/5, 1
Let j(d) = -31*d**2 - 21*d - 44. Let m be j(-2). Let g be (-22)/(-154) + (-717)/m. Suppose -1/3 - g*y**3 + 11/6*y + 13/3*y**2 = 0. What is y?
-2/5, 1/7, 1
Let u(j) be the second derivative of j**6/6 - 37*j**5/4 + 85*j**4/6 + 60*j**3 - 8*j + 31. Factor u(h).
5*h*(h - 36)*(h - 2)*(h + 1)
Let -1/4*o**5 - 183/4*o**4 - 2069*o**3 - 8464 + 8280*o + 2299*o**2 = 0. What is o?
-92, -2, 1, 2
Suppose -i + 6*f - f + 3 = 0, 0 = 2*i - 3*f - 6. Find m such that -12*m**3 - i*m**3 + 2*m**2 + 68*m - 27*m**2 - 78*m = 0.
-1, -2/3, 0
Let r be (-8)/(-14) + (-1)/(35/(-60)). Suppose -2*g = -3*z + 2*g + 26, 2*z + 3*g + 11 = 0. Find v, given that -12*v**z - r + 64/7*v + 44/7*v**3 - 8/7*v**4 = 0.
1/2, 1, 2
Let b be (-154)/70 - 5/(-25). Let c be (28 + -15)*(b + 52/15). Solve 16/15 + 88/15*h + 98/15*h**5 + 28/15*h**2 - c*h**3 + 56/15*h**4 = 0.
-2, -2/7, 1
Find d, given that -180*d**2 + 377*d**2 + 357*d + 2058*d - 194*d**2 = 0.
-805, 0
Let n(f) = 7*f**2 + 15*f + 98. Let m(u) = -250*u**2 - 540*u - 3535. Let s(t) = 6*m(t) + 215*n(t). Let s(d) = 0. What is d?
-4, 7
Let j(f) be the second derivative of 9/5*f**5 - 1/10*f**6 + 32*f**3 + 0*f**2 + 4*f - 12*f**4 + 42. Solve j(i) = 0.
0, 4
Suppose -5*x + 3*x = 3*x. Suppose 27813*j = 27824*j. Find s, given that x + j*s - 2/5*s**2 = 0.
0
Solve -3/7*q**5 - 768/7*q + 312/7*q**3 - 27/7*q**4 - 432/7*q**2 + 0 = 0.
-16, -1, 0, 4
Suppose -2*i + 3*r + 6 = 0, 14*i - 13*i + r = 3. Let l be i/(-12)*(-968)/6. Let -22/3*p - 1/3*p**2 - l = 0. Calculate p.
-11
Suppose -x = -16*x + 60. Find p such that 2*p**3 + 187*p - 171*p + x*p**4 - 14*p**3 = 0.
-1, 0, 2
Let a = 52511/76 - 13104/19. Let -17/4*f + 3/4*f**2 - 1/4*f**4 + 5/2 + a*f**3 = 0. Calculate f.
-2, 1, 5
Factor 96 + 104*n + 1/6*n**3 + 49/6*n**2.
(n + 1)*(n + 24)**2/6
Let z(r) be the second derivative of 17*r + 3/70*r**5 + 6/7*r**2 - 4/7*r**3 + 0 - 1/28*r**4. Factor z(k).
3*(k - 2)*(k + 2)*(2*k - 1)/7
Factor 5*d**2 + 3*d**2 + 160 - 15*d + 10*d**2 + 5*d**3 + 77*d**2 + 265*d.
5*(d + 1)*(d + 2)*(d + 16)
Let z = -83775/46 - -251371/138. Let -z*t**2 - 19/3*t - 6 = 0. What is t?
-18, -1
Let j(n) be the first derivative of 22*n - 1 - 5/4*n**4 + 3*n**2 - 3/2*n**3. Let t(i) be the first derivative of j(i). Determine z, given that t(z) = 0.
-1, 2/5
Let i(o) be the first derivative of 2*o**3 + 2/25*o**5 + 7 + 8/5*o - 13/5*o**2 - 7/10*o**4. Factor i(d).
2*(d - 4)*(d - 1)**3/5
Suppose -10*k = 7*k - 21*k. Let h(i) be the first derivative of 14 + k*i + 0*i**3 + 0*i**2 - 1/5*i**4 + 2/25*i**5. Solve h(n) = 0.
0, 2
What is r in -163 + 380*r**3 + 186*r**2 - 1276*r**2 + 1065*r - 183 - 5*r**5 - 4 = 0?
-10, 1, 7
Let w(y) be the first derivative of -y**4/12 + 7*y**3 - 441*y**2/2 + 146*y + 179. Let j(u) be the first derivative of w(u). Suppose j(g) = 0. Calculate g.
21
Let z(l) = -l**2 + 4*l. Let o = 62 - 59. Let a(s) = s**2 - 3*s. Let u(c) = o*z(c) + 2*a(c). Factor u(n).
-n*(n - 6)
Suppose -3*d - 9 = 5*o, -3*o + o - 12 = 4*d. Suppose o = -4*t - 6*t + 70. Solve -2*h**2 + t*h**2 - 11*h**2 + 2*h**3 = 0.
0, 3
Let i = -2602057/90 + 260212/9. Suppose -1/10*j**5 + 5/2*j**2 + 2/5 + i*j**4 - 19/10*j**3 - 8/5*j = 0.