 of 0 + 4/21*n**3 - n - 1/42*n**4 - 3/7*n**f. Factor t(p).
-2*(p - 3)*(p - 1)/7
Let o(c) be the second derivative of c**5/20 + 17*c**4/12 + 13*c**3/6 - 19*c**2 - c - 140. Let a be o(-16). Factor 2*r - 1/10*r**2 - a.
-(r - 10)**2/10
Let q(a) be the first derivative of 108*a**6 - 804*a**5/5 - 128*a**4 + 824*a**3/3 - 68*a**2 - 20*a + 16367. What is y in q(y) = 0?
-1, -5/54, 1/3, 1
Let r(v) be the second derivative of 3*v**5/140 + 149*v**4/7 + 44402*v**3/7 - 40*v + 3. Let r(g) = 0. What is g?
-298, 0
Let r(h) be the first derivative of 0*h**2 + 20/3*h**3 - 1/2520*h**6 - 21 + 0*h + 0*h**4 + 1/210*h**5. Let y(z) be the third derivative of r(z). Factor y(f).
-f*(f - 4)/7
Suppose -4*n + t - 4422 = 0, -3*n - 3305 = 5*t - 0*t. Let j = n - -1105. Let -9/4*w - 15/4*w**3 + j + 6*w**2 = 0. What is w?
0, 3/5, 1
Suppose -178*j = -176*j - 18. Let t be (j + -6 + 5/(-1))*-1. Factor -l**3 - 9/5*l**t - 1/5*l**4 - 2/5 - 7/5*l.
-(l + 1)**3*(l + 2)/5
Let r be (-2)/3 + 9/((-243)/36). Let q = r + 4. Let 8*i**2 - 4*i**3 - 5*i**2 - 7*i**2 - 12*i**q = 0. Calculate i.
-4, 0
Let p(t) be the third derivative of t**6/240 + t**5/20 - 49*t**4/48 - 49*t**3/2 - 9828*t**2. Let p(h) = 0. Calculate h.
-7, -6, 7
Let a = 24560 + -24558. Suppose 51/2*t + 867/4 + 3/4*t**a = 0. What is t?
-17
Let j = 7 + -3. Let p = -13410 - -13415. Factor -z**3 - p*z**2 - 4*z**3 + 23*z**5 - 18*z**5 + 5*z**j.
5*z**2*(z - 1)*(z + 1)**2
Let t = 67 + -65. Suppose -10 = -t*v - 6. Factor 16*l**2 - 4*l**v - 11*l**2 - 1.
(l - 1)*(l + 1)
Let u(a) be the second derivative of 4/105*a**6 - 9/7*a**3 + 0*a**2 + 168*a + 0 + 1/147*a**7 - 3/35*a**5 - 6/7*a**4. Let u(w) = 0. What is w?
-3, -1, 0, 3
Let s(q) be the first derivative of q**6/160 - q**5/80 - q**4/16 - 9*q**2/2 - q - 48. Let u(o) be the second derivative of s(o). Determine p so that u(p) = 0.
-1, 0, 2
Let h = 5545 + -5543. Let i be (-30)/17 + 1 + 1. Factor i + 2/17*f**3 + 0*f**h - 6/17*f.
2*(f - 1)**2*(f + 2)/17
Let k(w) be the third derivative of 5*w**8/1008 + w**7/35 - 293*w**6/360 - 373*w**5/90 + 61*w**4/3 - 224*w**3/9 + 54*w**2 + 3*w. What is i in k(i) = 0?
-8, -4, 2/5, 1, 7
Let n(c) be the third derivative of 0*c**3 + c**2 - 7*c - 1/150*c**5 + 0 - 3/20*c**4. Factor n(x).
-2*x*(x + 9)/5
Suppose 86*r + 72 = 82*r, 4*n = 5*r + 90. Find y such that -9/2*y**4 + 10*y**2 - 2*y + n - 7/2*y**3 = 0.
-2, 0, 2/9, 1
Let h(y) be the first derivative of -y**6/21 + 48*y**5/35 + 40*y**4/7 + 20*y**3/7 - 79*y**2/7 - 108*y/7 + 2836. Suppose h(k) = 0. What is k?
-2, -1, 1, 27
Let k = 21217 - 21208. Let g(p) be the first derivative of -77/8*p**4 - 20 + k*p**2 + 9/4*p**6 - 4*p - 12/5*p**5 + 3*p**3. Solve g(d) = 0 for d.
-1, 2/9, 2/3, 2
Let j(g) = -151*g**2 + 2736*g + 1876908. Let w(v) = 113*v**2 - 2737*v - 1876906. Let a(r) = -3*j(r) - 4*w(r). Factor a(t).
(t + 1370)**2
Let v(p) = -2*p + 6. Let j(i) = i - 3. Let o(m) = 5*j(m) + 3*v(m). Let l be o(0). Let -6*y - l - 6 + 3*y**2 - 4*y**2 = 0. What is y?
-3
Let o(x) = -9*x**2 - 490*x - 566. Let w(c) = -2*c**2 - c - 16. Let n(v) = -o(v) + 5*w(v). Solve n(p) = 0 for p.
-1, 486
Suppose -3*o + o + 24 = 2*w, -8*w + 40 = 0. Let -19*l**3 + 0*l**3 - 7*l + o*l - 2*l**4 - 2312*l**2 - 117*l**3 = 0. Calculate l.
-34, 0
Suppose 928*m**2 + 238 + 431 + 666*m - 1856*m**2 + 925*m**2 = 0. What is m?
-1, 223
Let h be (-6 - (2 + 63)) + (1 - 2). Let g = 74 + h. What is q in 3*q**g + 11*q**2 - q**3 - 24*q**2 + 8*q**2 + 3*q = 0?
-3, 0, 1
Let x(c) = c**2 - 10*c + 13. Let v be x(9). Find a, given that -7*a**4 - 8*a + 2*a**4 + 20*a**v - 2*a + a**3 + 9*a**3 - 15*a**2 = 0.
-1, -2/3, 0, 1
Suppose 2/5*p**2 + 108/5*p + 98 = 0. Calculate p.
-49, -5
Let w(l) be the first derivative of -l**6/45 - 88*l**5/75 + l**4/30 + 88*l**3/45 - 1025. Suppose w(v) = 0. What is v?
-44, -1, 0, 1
Let -13*j**3 + 144 - 16*j**3 + 136*j**2 + 284*j - 58*j**3 + 83*j**3 = 0. What is j?
-1, 36
Let a be (84/63)/((-2)/(-3)). Find c, given that 6 - 105*c + 14*c**2 - c**2 - 4 + 82*c**a + 8 = 0.
2/19, 1
Let o be (1575/30)/15 + (-2)/4. Let p(y) be the first derivative of -1/14*y**4 - 2/21*y**o + 8/7*y - 16 + 4/7*y**2. Factor p(r).
-2*(r - 2)*(r + 1)*(r + 2)/7
Let l(u) = 3*u**3 + u**2 + u. Let p(t) = 4*t**3 - 1301*t**2 + 565069*t - 81746504. Let c(m) = 5*l(m) - 5*p(m). Find a, given that c(a) = 0.
434
Suppose -14766/7*i**2 - 9850/7*i + 18/7*i**3 - 1642/7 = 0. What is i?
-1/3, 821
Let q(r) be the first derivative of 9*r**5 - 45*r**4/4 + 5*r**3 - 5*r**2/6 - 257. Solve q(k) = 0.
0, 1/3
Let j(y) be the first derivative of 15*y**4/4 + 36*y**3 + 201*y**2/2 + 36*y - 52. Suppose j(b) = 0. Calculate b.
-4, -3, -1/5
Let x(t) be the third derivative of -t**6/270 + 46*t**5/135 + t**4/54 - 92*t**3/27 - 200*t**2 - 2*t. Suppose x(s) = 0. What is s?
-1, 1, 46
Let r(s) be the first derivative of -s**6/120 + s**5/8 - 17*s**4/48 + s**3/3 + 67*s - 96. Let b(c) be the first derivative of r(c). Factor b(q).
-q*(q - 8)*(q - 1)**2/4
Let r(s) be the second derivative of s**5/5 + 17*s**4/3 - 160*s**3/3 + 168*s**2 - 12386*s. Factor r(z).
4*(z - 2)**2*(z + 21)
Suppose 2*l - 206 = -2*i, -2*l - 4*i + 313 = l. Suppose u - 105 = 6. Find m, given that -u + m**2 + 2*m**2 + l = 0.
-2, 2
Let f(m) be the third derivative of m**7/5040 - m**6/288 - m**5/40 + 2*m**4/3 + 2*m**2 + 4. Let w(b) be the second derivative of f(b). Solve w(a) = 0 for a.
-1, 6
Suppose 5*u - 70 = -3*r - 2*r, 0 = -4*r + 16. Factor -u - 14*k + 0*k**2 - 15*k**3 + 45*k**4 - 115*k**2 - 51*k.
5*(k - 2)*(k + 1)*(3*k + 1)**2
Let q be 2*(22/4 - 3). Suppose d - 50 = -q*k, d = k + 3*d - 10. Factor -35*x**4 - k*x**3 + 3*x**2 + 2*x**2 + 30*x**4 + 10*x.
-5*x*(x - 1)*(x + 1)*(x + 2)
Suppose 16 = -33*z + 29*z, 0 = -4*u - 3*z - 104. Let d be u/3 - (-76 - -68). Factor -5/3*v**3 - 8/3 + d*v**4 + 4/3*v + 2*v**2.
(v - 2)**3*(v + 1)/3
Factor -208/3*l + 16/3*l**2 + 1/3*l**5 - 16/3*l**4 + 64 + 16*l**3.
(l - 12)*(l - 2)**3*(l + 2)/3
Let n(a) be the second derivative of a**4/12 + 4*a**3 - 56*a**2 + 52*a. Factor n(k).
(k - 4)*(k + 28)
Let -2626632 - 2/9*w**2 + 1528*w = 0. What is w?
3438
Let l(o) = 20*o - 117. Let n be l(6). Let g(x) be the third derivative of -1/15*x**n + 0 - 1/60*x**4 + 11*x**2 - 1/600*x**5 + 0*x. Find b such that g(b) = 0.
-2
Let p(z) = z**3 - 25*z**2 - 2*z + 52. Let d be p(25). Factor -96*b**2 - 99*b**2 + 295*b**2 - 94*b**d - 2*b**3 - 16 + 12*b.
-2*(b - 4)*(b - 1)*(b + 2)
Let z = 2 + 110. Let v = z + 63. Suppose 78 - 78 - v*i**5 - 10*i + 45*i**2 - 45*i**4 + 185*i**3 = 0. What is i?
-1, -2/5, 0, 1/7, 1
What is b in 164*b - 4/5*b**2 + 3344/5 = 0?
-4, 209
Suppose 0 = 19*m - 17*m. Find i, given that -21*i**5 + 81*i**2 + 61*i**3 + m*i**4 + 21*i + 4 - 13*i**4 - 5*i + 16*i = 0.
-1, -1/3, -2/7, 2
Let u(o) = o**4 - o**3 + o**2 - 2*o - 1. Let p(j) = 10*j**4 + 24*j**2 - 52*j**2 + j**2 + 23*j + 3*j**3 - 18 - 3*j**4. Let d(r) = -p(r) + 6*u(r). Factor d(q).
-(q - 1)**3*(q + 12)
Let v(g) be the third derivative of 0 - 1/510*g**5 + 0*g**3 + 0*g - 20*g**2 - 1/204*g**4. Determine z, given that v(z) = 0.
-1, 0
Suppose -8069*f + 302 = -23905. Determine y, given that 0*y + 14/5*y**2 + 0 + 1/5*y**f = 0.
-14, 0
Suppose 20*r - 31*r = -286. Let w be 42/18 - r/(-30). Factor -36/5*j**3 - 8*j**2 - 14/5*j**4 - w*j + 0 - 2/5*j**5.
-2*j*(j + 1)*(j + 2)**3/5
Let p = 417072 + -417060. Factor -64/3*g**2 - 64/9*g - 14/9*g**4 + p*g**3 + 0.
-2*g*(g - 4)**2*(7*g + 2)/9
Let c(s) be the first derivative of s**3/9 - 377*s**2/3 + 251*s + 753. Let c(n) = 0. What is n?
1, 753
Let p(s) = 8*s**4 + 8*s**3 - 8*s**2. Let a = -78 + 74. Let j(u) = -9*u**4 - 9*u**3 + 8*u**2. Let d(i) = a*j(i) - 5*p(i). Factor d(k).
-4*k**2*(k - 1)*(k + 2)
Let b = 2607/160 + -87/160. Factor 0 + 3*q + 27/2*q**2 - b*q**3 + 33/8*q**4.
3*q*(q - 2)**2*(11*q + 2)/8
Let l(k) = 12*k**4 + 500*k**3 - 1068*k**2 + 540*k + 16. Let c(o) = -4*o**4 - 166*o**3 + 356*o**2 - 180*o - 6. Let v(h) = -8*c(h) - 3*l(h). Factor v(w).
-4*w*(w - 1)**2*(w + 45)
Let o(i) = -3*i**3 + 182*i**2 - 69*i - 5. Let a(h) = h**3 - 22*h**2 - h + 1. Let r(x) = 5*a(x) + o(x). Determine d, given that r(d) = 0.
-37, 0, 1
Let x = 88701 + -354803/4. Let h be -1*4/(0 + -2). Suppose 5/4*u - 9/4*u**3 - 3/4*u**h - x = 0. Calculate u.
-1, 1/3
Let o(b) be the second derivative of 5/6*b**3 + 3*b + 1/300*b**5 + 1/12*b**4 - 13/2*b**2 + 0. Let z(m) be the first derivative of o(m). Factor