h that 0 + 30/19*a**3 + 26/19*a + 54/19*a**2 + 2/19*a**4 = 0.
-13, -1, 0
Let t(i) = i + 19. Let j = 44 + -54. Let o be t(j). Factor 9 + 15*h - 8*h**2 - 3 + o*h**3 - 6*h**3 + 20*h**2.
3*(h + 1)**2*(h + 2)
Let i(o) be the third derivative of o**7/350 - 9*o**6/200 + 6*o**5/25 - 2*o**4/5 + 15*o**2 - 32*o + 2. Let i(w) = 0. Calculate w.
0, 1, 4
Factor 2880*l + 1038*l**2 - 414720 - 2062*l**2 + 1019*l**2.
-5*(l - 288)**2
Let t(l) = -2*l - 5. Suppose -2*v = 20 - 12. Let q be t(v). Factor 2*p**3 + p**q - 5*p**3 - 2*p**2 + 4*p.
-2*p*(p - 1)*(p + 2)
Let p = -5688 - -38732/7. Let k = p - -156. What is j in -24/7*j + 2*j**3 + 18/7*j**2 - k = 0?
-2, -2/7, 1
Let j(i) = -7*i**2 + 19*i + 13. Let p(z) = -4*z**2 + 8*z + 6. Let y be 3/(-5)*(52/(-12) - -1). Let h(w) = y*j(w) - 5*p(w). What is u in h(u) = 0?
-2/3, 1
Factor 31*m**2 + 43*m**2 - 37*m + 5*m**4 - 3*m**4 + m - 40*m**3.
2*m*(m - 18)*(m - 1)**2
Let k(m) be the second derivative of -4/15*m**5 + 14/3*m**3 + 0 + 9/2*m**4 + 31/2*m**2 + 21*m. Let t(y) be the first derivative of k(y). Factor t(o).
-4*(o - 7)*(4*o + 1)
Let j(q) = -235*q - 11041. Let h be j(-47). Let n = -16/23 - -286/345. Determine m so that 4/5*m**3 - n*m**h - 4/15*m**2 + 2/5 - 2/3*m - 2/15*m**5 = 0.
-3, -1, 1
Let l be (-806)/(-156) - (10/8)/(8/32). Solve 1/3 + 8/3*x**2 + 3/2*x + l*x**5 + x**4 + 7/3*x**3 = 0.
-2, -1
Let d(c) be the first derivative of -2*c**3/33 + 53*c**2/11 + 580*c/11 + 195. Factor d(o).
-2*(o - 58)*(o + 5)/11
Let g(x) = -x**3 + 16*x**2 - 6*x + 104. Let o be g(16). Determine u so that 665*u**2 + 14*u - 795*u**2 + 58*u - o = 0.
2/13, 2/5
Let s(w) be the second derivative of -w**5/90 - 545*w**4/27 + 2183*w**3/27 - 364*w**2/3 + 2217*w. Factor s(b).
-2*(b - 1)**2*(b + 1092)/9
Factor -3177607*y**2 + 3177608*y**2 - 156 + 85*y - 9*y.
(y - 2)*(y + 78)
Let p be (-675)/(-126) + 1200/(-1400). Let p*h**2 - 3/4*h**4 - 6 - 3*h + 3/4*h**3 = 0. What is h?
-2, -1, 2
Factor 32*z**3 + 1500 + 10*z**3 + 294*z**2 + 186*z**2 + 2*z**4 - 150*z**2 + 1150*z.
2*(z + 5)**3*(z + 6)
Let o be (-268)/36 + 0 + (222 - 213). Factor o*i**3 - 2/9*i**4 + 0*i**2 + 0 + 0*i.
-2*i**3*(i - 7)/9
Let i be (-6)/(-14) - (-1924)/182. Suppose -18 = -2*v - g - i, 4*g - 1 = v. What is j in 2/3*j**v + 10/3*j + 4/3 + 8/3*j**2 = 0?
-2, -1
Let x(s) = 5*s**2 + 22*s + 22. Let o be x(-6). Let a be o/(-910) - (1 + (-110)/78). What is t in 5/3*t**4 + 0 + a*t**2 + 0*t - 2*t**3 = 0?
0, 1/5, 1
Let d(c) be the first derivative of -25*c**6/9 - 92*c**5/3 - 659*c**4/6 - 836*c**3/9 + 228*c**2 + 432*c + 10044. Find p such that d(p) = 0.
-18/5, -2, -1, 1
Let l(j) = -24*j**2 - 7*j**3 + 4*j + 77 + 3*j**3 - 101. Suppose -1 = -4*v + 3*v. Let z(q) = -q**2 - 1. Let f(o) = v*l(o) - 24*z(o). Factor f(a).
-4*a*(a - 1)*(a + 1)
Factor -72/5*f**2 - 14 + 1/5*f**3 + 141/5*f.
(f - 70)*(f - 1)**2/5
Let z be (343 + -344)*0/(-2). Factor -3/4*s**3 - 3/2*s + z + 9/4*s**2.
-3*s*(s - 2)*(s - 1)/4
Factor 814*s**2 - 2*s**3 + 385 + 4*s**3 - 1634*s + 23 + 568 - 158.
2*(s - 1)**2*(s + 409)
Find f such that -221/7*f + 222/7 - 1/7*f**2 = 0.
-222, 1
Suppose 2*f = -17*f + 57. Solve -3*p**2 - 88*p + 117 + 5*p**2 - 25 - 3*p**2 - f*p**2 = 0.
-23, 1
Let v(k) = -2*k**3 - 63*k**2 + 32*k + 3. Let q be v(-32). Factor 517*r**q - 25*r**2 - 260*r**3 - 20*r - 262*r**3.
-5*r*(r + 1)*(r + 4)
Let k be (31/2 - 1) + 10/(-20). Let m(d) be the first derivative of 0*d**4 + k + 3/5*d**5 - 9*d - 12*d**2 - 6*d**3. Factor m(y).
3*(y - 3)*(y + 1)**3
Let y(z) be the third derivative of z**8/1344 + z**7/504 - z**6/90 - z**5/30 + z**4/18 + 2*z**3/9 - 3*z**2 + z - 1. Find m such that y(m) = 0.
-2, -2/3, 1, 2
Suppose -673*o - 322*o + 662 = -3318. Suppose o*u**3 - 2/5*u**5 + 0*u**2 + 18/5*u**4 + 0 + 0*u = 0. Calculate u.
-1, 0, 10
Find m, given that -1/7*m**2 + 104*m - 18928 = 0.
364
Let v(w) = -7*w**3 - 189*w**2 - 2202*w - 8498. Let f(i) = -i**3 - 2*i**2 - i + 1. Let p(r) = 2*f(r) - v(r). Factor p(q).
5*(q + 10)**2*(q + 17)
Suppose -8 = -u - z, -2*z = 2*u - 4*u. Factor h**5 - 18 - 2140*h**3 - 9*h**2 + 57*h + 2178*h**3 - 10*h**u - 59*h**2.
(h - 3)**2*(h - 2)*(h - 1)**2
Let i = -2366303/7 + 338054. Suppose 3/7*f**4 - 180/7*f - 36/7*f**3 + i + 138/7*f**2 = 0. What is f?
1, 5
Let h be ((45/(-3))/(-5))/(-1) + -2205. Let w be h/(-1173) + 6/51. Solve 1/11*z**w - 6/11 - 1/11*z = 0.
-2, 3
Suppose -4*y - 6 = -6*y. Factor -8*a + y + 5 + 14*a + 3*a**2 - 5.
3*(a + 1)**2
Let q(i) be the first derivative of -3*i**5/25 + 21*i**4/5 + 12*i**3 + 837. Factor q(d).
-3*d**2*(d - 30)*(d + 2)/5
Let u(f) be the second derivative of f**5/25 + 68*f**4/15 + 370*f**3/3 - 16428*f**2/5 - 5568*f. Determine w, given that u(w) = 0.
-37, 6
Determine m so that 1/4*m**4 + 105*m - 27*m**3 + 0 + 311/4*m**2 = 0.
-1, 0, 4, 105
Suppose 1759092*z - 192 = 1759028*z. Factor 0 - 4/3*i**z + 2/3*i - 2/3*i**2.
-2*i*(i + 1)*(2*i - 1)/3
Let f = 13411 - 13408. Factor 2/7*b**5 - 10/7*b**f - 8/7 - 2/7*b**2 + 16/7*b + 2/7*b**4.
2*(b - 1)**3*(b + 2)**2/7
Let b(n) be the third derivative of n**8/504 + 2*n**7/315 + n**6/180 + 283*n**2 + 3. Factor b(g).
2*g**3*(g + 1)**2/3
Let v(n) = 87*n**2 - 86*n**2 + 19*n - 550 + n + 66*n. Let w be v(6). Let -35/4*p**w - 5/4*p**4 + 0 + 10*p**3 + 0*p = 0. Calculate p.
0, 1, 7
Let n(r) be the first derivative of -17*r**5/120 - 3*r**4/4 - r**3/3 - r**2/2 + 31*r + 81. Let i(s) be the second derivative of n(s). Factor i(d).
-(d + 2)*(17*d + 2)/2
Let y(a) be the third derivative of a**7/70 - 58*a**6/5 + 26679*a**5/10 + 13514*a**4 + 54289*a**3/2 + 485*a**2. Factor y(o).
3*(o - 233)**2*(o + 1)**2
Let a(i) be the second derivative of -3*i**5/20 - 111*i**4 - 441*i**3/2 + 1329*i**2 + 1988*i + 2. Factor a(w).
-3*(w - 1)*(w + 2)*(w + 443)
Let m(w) be the third derivative of -w**8/2352 - 2*w**7/735 + w**6/280 + 17*w**5/210 + 13*w**4/42 + 4*w**3/7 - 2101*w**2. Factor m(q).
-(q - 3)*(q + 1)*(q + 2)**3/7
What is i in 190/3*i - 40/3*i**3 + 25/3*i**2 + 5/3*i**4 + 40 = 0?
-1, 4, 6
Let b(u) be the first derivative of 0*u - 5/3*u**4 - 4/3*u**3 + 0*u**2 + 16 - 1/18*u**6 - 3/5*u**5. Determine l so that b(l) = 0.
-6, -2, -1, 0
Factor -3*f**4 + 947*f + 576 - 12077*f**3 - 2627*f - 164*f**2 + 12138*f**3.
-(f - 12)**2*(f + 4)*(3*f - 1)
Suppose 3*v - 73 - 101 = 0. Solve -v*x**3 - 21*x**2 + 540*x + 8*x**3 - 5*x**4 + 540 - 24*x**2 = 0.
-6, -1, 3
Let c = -19 + 21. Let d be ((-2)/(-35))/((-352)/(-4928)). Find m such that 2/5*m**4 + m**5 + 4/5*m**c + d*m + 0 - 3*m**3 = 0.
-2, -2/5, 0, 1
Let x be (4 + -1)/((-18)/(-12)). Suppose 9*o + 44 = 2*s + 11*o, -3*o = -9. Factor v - 10 + x*v**2 + v**3 - 9 + s.
v*(v + 1)**2
Let w be 2*(-8)/(-72)*9. Suppose c + w*p + 2 = 0, -29*p + 32 = 5*c - 33*p. Suppose -3/4*n**5 - 3/2*n - 3/4*n**c + 0 + 9/4*n**3 + 3/4*n**2 = 0. Calculate n.
-2, -1, 0, 1
Suppose -o + 75 = -5. Suppose o + 48 = 2*y. Let -37 + y - 10*w - 5*w**2 - 32 = 0. What is w?
-1
Let x(f) be the second derivative of -f**5/40 - f**4/12 + 5*f**3/3 - 6*f**2 + 2*f - 109. Let x(j) = 0. Calculate j.
-6, 2
Factor 2/5*m**3 - 80 - 204/5*m + 198/5*m**2.
2*(m - 2)*(m + 1)*(m + 100)/5
Suppose 3*l = 248*o - 245*o, 16 = 3*o + 5*l. Let k(n) be the first derivative of 17 + 0*n**o + 2/25*n**5 + 3/10*n**4 + 0*n**3 + 0*n. Factor k(c).
2*c**3*(c + 3)/5
Let u(n) be the second derivative of 14 - 3/2*n**3 + 1/20*n**5 - 1/4*n**4 - 5/2*n**2 + 2*n. Solve u(i) = 0 for i.
-1, 5
Let y(a) be the first derivative of -3*a**5/5 + 75*a**4/4 - 89*a**3 + 321*a**2/2 - 126*a - 5757. Let y(s) = 0. Calculate s.
1, 2, 21
Let c = -165 + 168. What is t in c + 5 + 620*t + t**2 - 629*t = 0?
1, 8
Let n(k) be the second derivative of -k**4/9 + 6788*k**3/9 - 5759618*k**2/3 + 24*k + 74. Find u, given that n(u) = 0.
1697
Let o(l) = l**2 + 3*l - 1. Let u(f) = 2*f**2 + 25*f + 14. Let q(n) = 3*o(n) - u(n). Factor q(x).
(x - 17)*(x + 1)
Suppose -10*x = -37 - 53. Suppose 4*v = 19 + x. Factor 3*q**4 + 26*q**3 + 0*q**2 - 38*q**3 - 8*q**2 - v*q**2.
3*q**2*(q - 5)*(q + 1)
Let x = -16953 + 152653/9. Solve -x*z**3 - 16/9 - 4/9*z**5 - 28/9*z**4 - 100/9*z**2 - 64/9*z = 0.
-2, -1
Let b be (-9)/33 + 6873/638. Factor 0 + 9*q + 4*q**3 - b*q**2 - 1/2*q**4.
-q*(q - 3)**2*(q - 2)/2
Let r(l) be the second derivative of l**4/9 + 2564*l**3/9 - 2566*l**2/3 + 2229*l. Determine j, given that r(j) = 0.
-1283, 1
Suppose -4*x + 5*p + 40 = -x, -5*x + p + 52 = 0. Let d(m) = 14*m - 137. Let w be d