*3/3 - 326041*h**2/2 - 657*h. Factor n(p).
-(p + 571)**2
Factor 1769670 + 3192*h + 886282 + h**2 + 0*h**2 - 108736.
(h + 1596)**2
Let -820*r + 110*r**4 - 141*r**4 + 44*r**4 - 710*r**3 - 2*r**5 + 5832 - 6956*r + 3618*r**2 + 49*r**4 = 0. Calculate r.
2, 9
Factor 30*l**2 + 32*l**2 - 477695 + 35*l**2 - 2664*l - 113713 - 100*l**2.
-3*(l + 444)**2
Find x, given that 90 + 3*x**2 - 112 + 822*x + 841 = 0.
-273, -1
Suppose -2*r - 15*r = -2312. Find z, given that -87 + 27 - 4*z**2 - z**2 - 240*z + 169 + r = 0.
-49, 1
Find n, given that -3/4*n**2 - 16161123/4 + 6963/2*n = 0.
2321
Let c = -146763 + 146765. Solve 18/11*x**c + 4/11 - 14/11*x + 2/11*x**4 - 10/11*x**3 = 0 for x.
1, 2
What is p in 3/2*p**3 - 168 + 108*p - 45/2*p**2 = 0?
4, 7
Let o = 78 - 61. Suppose -78*j**2 + 123 - 18 + 21 + 32*j + o*j**3 + 2 - j**4 = 0. Calculate j.
-1, 2, 8
Let 96/5*n - 96/5*n**3 + 0 - 2/5*n**2 + 2/5*n**4 = 0. What is n?
-1, 0, 1, 48
Let u(j) = 15*j**2 + 52*j - 14. Let x(d) be the second derivative of -5*d**4/12 - 17*d**3/6 + 2*d**2 + 3*d - 15. Let o(i) = -2*u(i) - 7*x(i). Factor o(l).
5*l*(l + 3)
Let v(n) be the first derivative of 189*n**3 + 1149*n**2/4 + 15*n/2 + 4021. Determine f so that v(f) = 0.
-1, -5/378
Let k(f) be the first derivative of -21*f**5/20 + 43*f**4/16 + 161*f**3/3 + 143*f**2/2 + 28*f - 557. Let k(i) = 0. Calculate i.
-4, -2/3, -2/7, 7
Let o = 188249 + -2070733/11. Factor o*l**2 + 60/11*l - 6.
6*(l - 1)*(l + 11)/11
Determine o, given that 2/3*o**3 + 34/3*o**2 - 8/3*o - 136/3 = 0.
-17, -2, 2
Suppose -70*t + 414 - 1491 = -429*t. Find i such that -52/3*i**t + 0 - 2/3*i - 18*i**2 = 0.
-1, -1/26, 0
Let o = 7592 + -7590. Let y(l) be the first derivative of 80*l + 5/3*l**3 + 3 + 20*l**o. Factor y(a).
5*(a + 4)**2
Factor -2/7*i**2 - 900/7 + 306/7*i.
-2*(i - 150)*(i - 3)/7
Suppose -24 = 85*y - 91*y. Let b(d) = -350*d**2 + 1035*d - 235. Let n(t) = -39*t**2 + 115*t - 26. Let r = 20 - 55. Let h(o) = r*n(o) + y*b(o). Factor h(l).
-5*(l - 3)*(7*l - 2)
Let y(b) = 3*b + 55 - 54 - 4*b + b**3. Let u(s) = -s**4 - 3*s**3 - 7*s**2 + 11*s - 8. Let g(f) = -5*u(f) - 40*y(f). Suppose g(p) = 0. Calculate p.
0, 1, 3
Let z be -1 + 430 - (-7 - (-11 - -7)). Factor -68*u - 112*u + 228*u**2 + z*u**2 - 605*u**3.
-5*u*(11*u - 6)**2
Let p(z) be the third derivative of -z**8/6720 - 9*z**7/560 - 43*z**5/15 - z**3/6 - 236*z**2. Let k(u) be the third derivative of p(u). Factor k(h).
-3*h*(h + 27)
Let w(s) = -5*s**2 + 7308*s - 2606412. Let o(d) = -5*d**2 + 7319*d - 2606411. Let l(g) = -8*o(g) + 9*w(g). Solve l(i) = 0.
722
Let h(k) = k**2 - 871*k + 14523. Let z be h(17). Solve 2/7*x**3 + 0*x + 2*x**2 - 6/7*x**4 - 2/7*x**z - 8/7 = 0.
-2, -1, 1
Let s(v) be the second derivative of -13*v**6/30 - 253*v**5/60 + 38*v**4/3 - 22*v**3/3 - 16*v**2/3 - 19*v + 28. Suppose s(u) = 0. What is u?
-8, -2/13, 2/3, 1
Let v(i) be the second derivative of i**5/180 + i**4/27 + 3331*i. Find c, given that v(c) = 0.
-4, 0
Suppose -2*w - 2*z + 198 = 0, -4*w = -0*w - 4*z - 364. Factor -7*m**5 + w*m**2 - 56*m + 68*m**4 + 49*m**2 + 28*m**2 + 3*m**5 - 180*m**3.
-4*m*(m - 14)*(m - 1)**3
Suppose -4*z + 1660 = -4*t, -1249 = -29*t + 32*t - 2*z. Let g = 424 + t. What is y in -1/4*y**2 - 9/4*y**g - 7/4*y**3 - 15/4*y**4 + 0*y + 0 = 0?
-1, -1/3, 0
Let w(n) be the second derivative of 41405*n**4/12 + 4550*n**3/3 + 250*n**2 - 42*n - 6. Factor w(g).
5*(91*g + 10)**2
Factor 3/2*w**4 + 0 + 0*w - 171/2*w**2 - 24*w**3.
3*w**2*(w - 19)*(w + 3)/2
Let c be (6/(-28))/(114/133*-5). Let d(f) be the second derivative of 0*f**3 - 1/50*f**6 + c*f**4 + 0 + 0*f**2 + 0*f**5 + 6*f. Factor d(h).
-3*h**2*(h - 1)*(h + 1)/5
Let p(x) be the third derivative of x**6/120 - 38*x**5/15 + 301*x**4/24 - 25*x**3 - 6*x**2 + 309*x + 2. Factor p(m).
(m - 150)*(m - 1)**2
Let p(l) be the first derivative of -212*l**3/3 - 635*l**2/3 + 4*l/3 - 3465. Factor p(m).
-2*(m + 2)*(318*m - 1)/3
Let t(h) be the third derivative of h**6/40 + 2*h**5/5 - 8*h**4 - 256*h**3 + 5*h**2 + 61*h - 3. Factor t(j).
3*(j - 8)*(j + 8)**2
Suppose -10*r - 74 = -234. Determine i, given that -5*i**4 - r*i**2 - 13*i**2 + 49*i**2 + 15*i**3 = 0.
-1, 0, 4
Let v = 8273/280 + 3/56. Let k = 151/5 - v. Factor 3/5*q**3 - k*q**2 - 6/5*q + 0.
3*q*(q - 2)*(q + 1)/5
Let b = -377 + 379. Suppose -b*z - 2*q = 6 - 14, 0 = 5*z - 2*q + 8. Factor -15/2*j**5 - 18*j**4 + 0 + z*j - 3*j**2 - 27/2*j**3.
-3*j**2*(j + 1)**2*(5*j + 2)/2
Let b(k) be the third derivative of -2/105*k**7 - 7/3*k**5 - 13/30*k**6 + 2*k**2 + 0*k + 49/6*k**4 + 28 + 0*k**3. Determine u, given that b(u) = 0.
-7, 0, 1
Let l(t) be the second derivative of -t**7/126 + 4*t**6/45 + 19*t**5/12 - 47*t**4/18 - 470*t**3/9 + 700*t**2/3 - 3164*t. Determine x so that l(x) = 0.
-5, 2, 14
Let g(p) be the third derivative of -p**7/315 - 47*p**6/1080 + p**5/135 + 83*p**4/54 - 104*p**3/27 + 28*p**2 - 19. Find o such that g(o) = 0.
-13/2, -4, 2/3, 2
Let k(h) be the first derivative of -h**6/12 + 646. Factor k(c).
-c**5/2
Let p be (4/10)/(17/85). Factor 26*x**3 - 16*x**2 - 23*x**3 - 14 + 29*x - p*x**3.
(x - 14)*(x - 1)**2
Let d(b) be the second derivative of b**8/11200 + b**7/2100 - b**6/400 - 17*b**4/6 + b**3/3 + 20*b. Let o(k) be the third derivative of d(k). Factor o(x).
3*x*(x - 1)*(x + 3)/5
Let y(l) = 4*l - 82. Let k be y(21). Factor -306*b**k + 152*b**2 + 154*b**2 - 5*b**3.
-5*b**3
Suppose 58 = 3*i + 5*w - 16, i = 3*w + 34. Let l be ((-216)/(-9))/4 - i/5. Find g such that -4/5 + 2/5*g + l*g**2 = 0.
-2, 1
Let a(c) be the third derivative of c**6/480 + c**5/30 + 13*c**4/96 + c**3/4 + 504*c**2 - 1. Find n, given that a(n) = 0.
-6, -1
Let b(t) be the first derivative of -t**5/140 + t**4/6 - 10*t**3/7 + 36*t**2/7 + 3*t + 69. Let q(s) be the first derivative of b(s). Factor q(l).
-(l - 6)**2*(l - 2)/7
Let h be 93/8 + (-36)/(-5184)*54. Factor -2/3*o**2 - h - 22/3*o.
-2*(o + 2)*(o + 9)/3
Let j(z) be the third derivative of 80*z**2 + 1/165*z**5 - 9/616*z**8 + 0*z**4 + 9/220*z**6 + 0 - 2/1155*z**7 + 0*z**3 + 0*z. Solve j(s) = 0 for s.
-1, -2/27, 0, 1
Let j(t) = -2*t**2 - 97*t + 52. Let d be j(-49). Let x(k) be the first derivative of -4/3*k**d - 11 - 8*k + 6*k**2. Factor x(w).
-4*(w - 2)*(w - 1)
Let w(t) be the first derivative of -3*t**5/25 - 26*t**4/5 + 125*t**3/3 - 309*t**2/5 - 144*t - 4105. Find x such that w(x) = 0.
-40, -2/3, 3
Let b(r) = r**5 - 16*r**4 - 82*r**3 - 92*r**2. Let g(p) = 2*p**5 - 15*p**4 - 83*p**3 - 90*p**2. Let j(v) = 3*b(v) - 2*g(v). Factor j(l).
-l**2*(l + 2)*(l + 4)*(l + 12)
Let f(c) be the second derivative of c**4/36 - 12*c**3 + 2*c + 649. Solve f(b) = 0 for b.
0, 216
Let v be (-285)/9120 - 1547/(-352). Factor -50/11*m - v - 2/11*m**2.
-2*(m + 1)*(m + 24)/11
Suppose -20*f + 21 = -18*f + 5*v, 20 = 4*v. Let u be 7 + (100/110)/f. What is c in -74/11*c**3 - u*c + 0 + 20/11*c**4 + 120/11*c**2 - 2/11*c**5 = 0?
0, 2, 3
Let k(m) be the first derivative of -2*m**3/9 - 107*m**2/3 + 220*m - 1471. What is s in k(s) = 0?
-110, 3
Let k be (412 + -412)*1/2. Find p such that 1/4*p**4 + 8*p + 0 + k*p**2 - 3/2*p**3 = 0.
-2, 0, 4
Factor 0 - 6/5*c**2 + 22/5*c.
-2*c*(3*c - 11)/5
Suppose -s - 9 = 3*s - 3*n, 3 = 4*s + n. Let w(o) be the first derivative of 1 + s*o**2 + 0*o**3 + 5/4*o**4 + 0*o - 10/3*o**6 + 3*o**5. Solve w(y) = 0 for y.
-1/4, 0, 1
Let d be (-4)/10 - (-26)/(-10). Let x = d + 6. Find t such that 0*t**x + 2*t**2 - t**3 - 2 - 2*t + 3*t**3 = 0.
-1, 1
Let i(p) = -31*p**2 - 10*p + 36. Let j(g) = -70*g**2 - 20*g + 75. Let h(c) = -9*i(c) + 4*j(c). Factor h(s).
-(s - 6)*(s - 4)
Let s(v) = -v**2 - 14*v - 29. Let k(p) = p + 9. Let r be k(-20). Let i be s(r). Factor -20*o**3 - 64*o**2 - 22*o**i - 32 - 20*o**2 - 92*o + 26*o**4.
4*(o - 8)*(o + 1)**3
Determine n, given that 308263 + 288*n**2 + 539484 - 581*n**2 + 990989 - 2712*n + 294*n**2 = 0.
1356
Let n(w) be the third derivative of w**5/60 - 11*w**4/6 - 406*w**3/3 - 27*w**2 + 8*w + 2. Factor n(g).
(g - 58)*(g + 14)
Suppose -1118 = -3*h - 1109. Let x be 14/h*(-23)/(-46). Factor x*c**2 + 23/3*c + 2.
(c + 3)*(7*c + 2)/3
Let a = 2/413203 - -826360/9503669. Factor -a*j**2 - 12/23*j + 0.
-2*j*(j + 6)/23
Let j = 16092 + -16080. Suppose -4*p + 5 = -139. Factor -p*w - 27/2 - 33*w**2 - j*w**3 - 3/2*w**4.
-3*(w + 1)**2*(w + 3)**2/2
Let c be (39/(-9) - -8) + (-128)/192. What is y in 2/15*y + 0 + 134/15*y**2 - 490*y**4 + 406/3