4, 515
Let c(m) = 21*m**3 - 1041*m**2 - 633*m + 420. Let w(z) = -11*z**3 + 520*z**2 + 317*z - 210. Let h(d) = 4*c(d) + 9*w(d). Factor h(x).
-3*(x - 35)*(x + 1)*(5*x - 2)
Let o(y) be the second derivative of y**4/6 - 121*y**3 + 722*y**2 + 7919*y. Determine v so that o(v) = 0.
2, 361
Let r(n) be the third derivative of n**5/12 - 5*n**3/6 - 781*n**2. Factor r(i).
5*(i - 1)*(i + 1)
Let c = 134 - 48. Let j = -51 + c. Let 55 - 196*t - 59*t - 200*t**2 - 107*t**3 + j + 72*t**3 = 0. Calculate t.
-3, 2/7
Let s(k) = -15*k**3 - 471*k**2 - 927*k + 1353. Let p(u) = -3*u**3 - 4*u**2 - 2*u - 1. Let z(g) = 6*p(g) - s(g). Let z(t) = 0. What is t?
-3, 1, 151
Factor -712/5 + 1/5*p**2 - 81/5*p.
(p - 89)*(p + 8)/5
Let p(u) be the first derivative of -72 + 5/6*u**4 - 1/9*u**6 - 2/15*u**5 + 0*u + 0*u**2 - 2/3*u**3. Factor p(z).
-2*z**2*(z - 1)**2*(z + 3)/3
Let f(g) = -g**2 - 16*g - 45. Let p be f(-4). Determine t so that -55*t**3 + 5*t**4 + 22*t + 160*t**2 + 8*t + 105*t**p + 130*t = 0.
-4, -2, 0
Let y(w) be the third derivative of w**7/1470 + 163*w**6/70 + 239121*w**5/70 + 38976723*w**4/14 + 19059617547*w**3/14 - 172*w**2. Factor y(q).
(q + 489)**4/7
Let s(f) be the third derivative of -f**5/15 - 2*f**4 + 56*f**3/3 + 6*f**2 + 62. Suppose s(j) = 0. Calculate j.
-14, 2
What is f in 0*f - 444/5*f**2 - 2/5*f**3 + 0 = 0?
-222, 0
Let k(u) be the third derivative of -u**7/2520 + u**6/240 - u**5/60 + u**4/24 + 7*u**3/6 + 13*u**2. Let j(v) be the second derivative of k(v). Factor j(i).
-(i - 2)*(i - 1)
Suppose -15*c + 14*c = 175*w - 1052, 4*w = c + 22. Factor -1/2*d**c + 0 + 9/2*d.
-d*(d - 9)/2
Let w = 262 - 264. Let i be (w - -3 - 7/(-7))*1. Suppose 0 + 1/2*t**i - 1/2*t = 0. Calculate t.
0, 1
Let y(m) be the first derivative of 8/5*m**3 + 0*m**5 - 2/15*m**6 - 14/5*m**2 + 28 + 8/5*m**4 - 24/5*m. Solve y(r) = 0 for r.
-2, -1, 1, 3
Let s(h) = -41*h**4 + 137*h**3 + 11*h**2 - 497*h - 344. Let b(n) = 28*n**4 - 91*n**3 - 7*n**2 + 331*n + 229. Let y(k) = 7*b(k) + 5*s(k). Solve y(l) = 0 for l.
-1, 3, 13/3
Let a(y) be the first derivative of y**5/35 - 5*y**4/7 - 23*y**3/7 - 2*y**2/7 + 92*y/7 + 639. Factor a(z).
(z - 23)*(z - 1)*(z + 2)**2/7
Suppose 12*q - 3067 = 6605. Let t = q + -806. Factor -2/13*h**2 + 4/13*h + t.
-2*h*(h - 2)/13
Let y(q) be the third derivative of -q**5/360 + q**4/24 + 247*q**3/36 + 20*q**2 + 2*q - 18. Find n, given that y(n) = 0.
-13, 19
Determine f so that 2/5*f**4 + 4316/5*f**2 + 155682/5 + 32*f**3 + 8928*f = 0.
-31, -9
Let g be (-23)/(-7) - 118/413. Suppose -g*q + 1 = n - q, 5*n = 3*q + 31. Factor 14*w**2 + 4 + 8*w**3 + 1/4*w**n + 9/4*w**4 + 12*w.
(w + 1)*(w + 2)**4/4
Let o(r) be the second derivative of -r**7/42 - 13*r**6/30 - 27*r**5/10 - 47*r**4/6 - 73*r**3/6 - 21*r**2/2 + 647*r. Factor o(u).
-(u + 1)**3*(u + 3)*(u + 7)
Let q(b) be the first derivative of -4*b**2 - 2/3*b**4 - 9*b - 3/5*b**5 + 14/3*b**3 + 7. Let x(o) be the first derivative of q(o). Factor x(d).
-4*(d - 1)*(d + 2)*(3*d - 1)
Let i(q) be the second derivative of q**6/195 + 17*q**5/130 + 41*q**4/39 + 4*q**3/13 - 504*q**2/13 - 2*q - 58. Solve i(z) = 0.
-7, -6, 2
Let 4*c**3 + 1444 - 2071/3*c - 49/2*c**2 + 1/6*c**4 = 0. Calculate c.
-19, 2, 12
Let n(y) be the third derivative of -1/20*y**6 + 0*y**4 + 0 + 5*y**2 - 9/40*y**5 - 1/280*y**7 - 2*y + 27/8*y**3. Solve n(p) = 0.
-3, 1
Factor 19*s**4 - s**5 + 89*s**3 + 0*s - 68*s**3 + 2791*s**2 - 20*s - 2810*s**2.
-s*(s - 20)*(s - 1)*(s + 1)**2
Let v(i) be the first derivative of i**6/21 - 16*i**5/5 - 25*i**4/2 - 236*i**3/21 - 594. Find m, given that v(m) = 0.
-2, -1, 0, 59
Let i(f) = 12*f**3 - 10*f**2 + 3*f - 3. Let u be i(3). Factor -4*v**2 + 3*v**2 - u*v + 188*v - 3*v**2.
-4*v*(v + 13)
Let m(w) be the first derivative of -w**6/8 + 3*w**5/2 + 21*w**4/2 + 4*w**3 - 78*w**2 - 168*w + 2889. Determine f so that m(f) = 0.
-2, 2, 14
Let y be 2772/110 - 14 - -4. Factor y*t - 336/5*t**2 + 2/5.
-2*(4*t - 1)*(42*t + 1)/5
Factor -19474*t - 19497*t - 116*t**2 - 2*t**3 + 39089*t.
-2*t*(t - 1)*(t + 59)
Let z = -95707 + 191419/2. Let n - 4 + z*n**2 + 1/2*n**3 = 0. What is n?
-4, -2, 1
Solve 212*z**2 - 213*z + 247 - 22*z**3 + 23*z**3 - 247 = 0.
-213, 0, 1
Let m(n) be the second derivative of -n**7/51 + 4*n**6/255 + 3*n**5/170 - 33*n + 20. Let m(t) = 0. What is t?
-3/7, 0, 1
Let t be (-5)/(20/476)*1. Let s be (-98)/833 + (-65)/t. Factor -s*u**4 + 6/7*u**3 - 6/7*u + 3/7*u**2 + 0.
-3*u*(u - 2)*(u - 1)*(u + 1)/7
Let p(m) be the first derivative of -1/7*m**4 + 0*m**3 + 2/7*m**2 - 2/7*m - 162 + 2/35*m**5. Factor p(h).
2*(h - 1)**3*(h + 1)/7
Suppose -31*j + 12 = -27*j. Factor 9*t**4 + 8*t + 52*t**2 - 26*t**2 - 21*t**j + 76*t - 56*t**2 - 24.
3*(t - 2)**2*(t + 2)*(3*t - 1)
Let s = -80 - -83. Let c(x) = 1 + 1 - 6*x**2 - x - 2*x + 5*x + x**s. Let i(f) = -3*f**3 + 19*f**2 - 5*f - 7. Let w(n) = -21*c(n) - 6*i(n). Factor w(z).
-3*z*(z - 2)**2
Let o be (20/(-4) - -6)*2. Find w such that -5*w - 48*w**o + 14*w - 11*w - 12*w**4 - 51*w**3 - 7*w = 0.
-3, -1, -1/4, 0
Let i(w) be the third derivative of w**8/6720 - w**7/840 - w**6/180 - 61*w**4/24 - w**2 - 17*w. Let c(z) be the second derivative of i(z). Factor c(b).
b*(b - 4)*(b + 1)
Let g be -2 - ((-194)/12 - 3/(-18)). Let i be (16 - g) + (-4)/(2/(-1)). Factor -p**4 - 3*p**4 - 18*p - 14*p + i*p**3 + 4*p**3 + 12*p**2 + 16.
-4*(p - 2)*(p - 1)**2*(p + 2)
What is c in 15*c**2 + 25*c**2 - c**5 + 516 - 516 - 42*c**3 - 13*c**4 - 8*c**2 + 224*c = 0?
-7, -4, 0, 2
Let d(b) = -7*b**2 - 35*b + b**2 + 64*b - 13 + 10 - 20. Let h = -18 + 13. Let z(l) = -3*l**2 + 14*l - 11. Let j(p) = h*z(p) + 2*d(p). Factor j(u).
3*(u - 3)*(u - 1)
Suppose 0 = m - 3*c - 12, -6*m - 4*c + 10 = -3*m. Let t be (-861)/(-735) + m/(-10). Solve 4/7*b**2 + 8/7*b**3 + 0 + t*b**4 + 0*b = 0 for b.
-1, 0
Factor 38*a**2 - 32*a + 16*a - 28*a + 144 - 36*a**2.
2*(a - 18)*(a - 4)
Let i(b) = 5*b**3 + 158*b**2 + 621*b - 482. Let v(w) = -8*w**3 - 317*w**2 - 1242*w + 962. Let g(n) = -5*i(n) - 2*v(n). Factor g(t).
-3*(t + 9)**2*(3*t - 2)
Determine t, given that 0 + 1678/5*t**2 + 372/5*t + 264*t**3 + 14/5*t**4 = 0.
-93, -1, -2/7, 0
Let k(q) be the third derivative of -2*q**7/35 - 337*q**6/40 - 1866*q**5/5 - 15293*q**4/8 - 1681*q**3 - 4347*q**2. Find f such that k(f) = 0.
-41, -2, -1/4
Factor 30 - 13*x - 3/2*x**2 + 1/4*x**3.
(x - 10)*(x - 2)*(x + 6)/4
Let o(y) be the third derivative of -y**6/720 - 253*y**5/360 - 251*y**4/72 - y**2 + 4098*y. Solve o(c) = 0 for c.
-251, -2, 0
Solve 1628/5*d**2 + 4/5*d**3 - 3268/5*d + 1636/5 = 0 for d.
-409, 1
What is w in -74*w - 3*w**2 - 5*w - 53*w = 0?
-44, 0
Let z(j) be the second derivative of -j**7/126 + j**6/15 + 19*j**5/60 - 2*j**4/3 - 454*j. Suppose z(k) = 0. What is k?
-3, 0, 1, 8
Let q(m) = -37*m + 74. Suppose 18*l - 219 + 183 = 0. Let n be q(l). Factor -6/17*a**2 - 4/17*a + n - 2/17*a**3.
-2*a*(a + 1)*(a + 2)/17
Factor -336*q**3 + 429*q**3 + 14 - 300*q**2 - 10 + 204*q + 3*q**4 - 4.
3*q*(q - 2)*(q - 1)*(q + 34)
Let f = -94 - -97. Factor -700*s**2 + f*s**3 + 3*s**3 + 58*s + 22*s - s**3 + 740*s**2.
5*s*(s + 4)**2
Let g be (59 - (82 - 27)) + 1/((-38)/(-319848)). Factor 2/19*i**5 + 1600000/19*i + g*i**2 + 6400000/19 + 200/19*i**4 + 8000/19*i**3.
2*(i + 20)**5/19
Factor -17*m**2 + 35/4*m**3 + 1/2 + 31/4*m.
(m - 1)**2*(35*m + 2)/4
Suppose 5*v - 96 + 76 = 0. Suppose -v*h = -12, 2*u + 54*h = 57*h - 5. Let 3/2*f**u + 3*f + 3/2 = 0. What is f?
-1
Let p be (2700/198 - 15)*(4/3 + -2). Suppose -8/11*i**3 - 4/11*i + p*i**2 + 2/11*i**4 + 0 = 0. What is i?
0, 1, 2
Let o(h) = 13*h**2 + 33*h + 84. Suppose 112 = -22*f + 78*f. Let c(m) = 4*m**2 + 12*m + 28. Let b(d) = f*o(d) - 7*c(d). Determine t so that b(t) = 0.
-7, -2
Let b be 6/4*(33 + -31). Let t be 14724/660 + b/33. Suppose 64/5 + 448/5*z - 196/5*z**4 + 768/5*z**2 - t*z**3 = 0. What is z?
-2, -2/7, 2
Let q(t) = t**3 + 9*t - 1. Let z(g) = 6*g**3 - 63*g**2 - 603*g - 5. Let p(u) = -5*q(u) + z(u). What is k in p(k) = 0?
-9, 0, 72
Let q(k) be the first derivative of 3*k**5/5 + 279*k**4/4 + 2113*k**3 - 7191*k**2/2 - 13254*k - 54. Factor q(n).
3*(n - 2)*(n + 1)*(n + 47)**2
Suppose 4*l**4 + 1648*l**2 - 192*l**3 - 320 - 4463*l - 529*l + 645 + 4539 = 0. Calculate l.
2, 4, 38
Let p(u) = 2*u**2 + 66*u - 376. Let w(l) = 6*l**2 + 198*l - 1129. Let i(k) = 11*p(k) - 4*w(k). Determine a, given that i(a) = 0.
-38, 5
Let x(g) be the 