 0. Calculate f.
-107, -1, 4
Let f(s) = -s - 1. Suppose 7 + 14 = m. Let c(b) be the first derivative of b**3/3 + 9*b**2/2 + 8*b + 2. Let g(p) = m*f(p) + 3*c(p). Solve g(z) = 0.
-1
Let g(z) = -594*z - 7717. Let o be g(-13). Let d(y) be the second derivative of -4/3*y**3 + y**4 - 2/15*y**6 + 0*y**2 - 39*y + 0*y**o + 0. Factor d(k).
-4*k*(k - 1)**2*(k + 2)
Let j be (-274)/(-822)*(4/(-6) + (-1024)/(-240)). Factor j - 2/5*g**2 + 4/5*g.
-2*(g - 3)*(g + 1)/5
Suppose 3*a = 62*n - 58*n - 2, -5*n + 16 = 3*a. Let x(j) be the first derivative of 2/15*j**3 - 7/5*j**a + 4*j - 38. Factor x(q).
2*(q - 5)*(q - 2)/5
Let p = 1571243/3535317 + 1/392813. Factor 16/9*u + 16/3 - p*u**2.
-4*(u - 6)*(u + 2)/9
What is n in 0*n + 0 - 38/3*n**4 - 8/3*n**3 + 8*n**2 - 2*n**5 = 0?
-6, -1, 0, 2/3
Let h(b) be the second derivative of -b**6/40 - b**5/4 + b**4/8 + 5*b**3/2 - 67*b**2 - 2*b + 25. Let t(l) be the first derivative of h(l). Factor t(z).
-3*(z - 1)*(z + 1)*(z + 5)
Suppose 0 = -5*j - 25, -35 + 46 = -2*v - 3*j. Factor -6*y - 2/5*y**v + 0.
-2*y*(y + 15)/5
Determine s, given that 1024/3*s + 2/3*s**4 + 68/3*s**3 + 200 + 490/3*s**2 = 0.
-25, -6, -2, -1
Let i be 1 + 252 + 9 + -2. Let g = 521/2 - i. Solve t**3 - 1/2*t**4 + 0*t**2 + g - t = 0.
-1, 1
Find u such that 69*u - 3/2*u**4 - 69*u**3 - 3213/2 + 1608*u**2 = 0.
-63, -1, 1, 17
Let l(a) be the first derivative of 10/7*a**3 - a**2 + 0*a - 9/14*a**4 + 2/35*a**5 + 74. Solve l(n) = 0 for n.
0, 1, 7
Let s = 1/1066 - -797/2665. Let v(y) be the first derivative of s*y**5 + 0*y**4 + 0*y - 1/2*y**3 + 9 + 0*y**2. Suppose v(d) = 0. Calculate d.
-1, 0, 1
Factor -5*m**2 + 6838473 - 6838473 + 1735*m.
-5*m*(m - 347)
Let n(v) = v**2 - 3*v + 140. Let b be n(22). Factor -564*d - b*d + 1122*d - 3*d**2 - 6*d**4 + 9*d**3.
-3*d**2*(d - 1)*(2*d - 1)
Let i(p) be the second derivative of -19/15*p**5 + 0*p**2 - 1/15*p**6 + 1 - 13*p + 4/3*p**3 - 23/18*p**4. Find d, given that i(d) = 0.
-12, -1, 0, 1/3
Let s(o) be the first derivative of o**7/525 + o**6/150 + o**5/150 + 23*o**2 - o + 91. Let d(b) be the second derivative of s(b). What is t in d(t) = 0?
-1, 0
Let h = 2901034/7 - 414433. Solve h*m**2 + 9 + 30/7*m = 0.
-7, -3
Let c = -9912 - -9943. Let r(o) be the third derivative of 7/6*o**4 - 4*o**3 + 0*o - c*o**2 - 1/15*o**5 + 0. Factor r(h).
-4*(h - 6)*(h - 1)
Let q = -858915/2 + 429495. Find p such that -5/4*p**2 + 155/4*p - q = 0.
1, 30
Let o(u) be the third derivative of 47/420*u**6 - 29/105*u**5 + 0*u - 1/147*u**7 + 4/21*u**4 + 0 + 94*u**2 + 0*u**3. What is n in o(n) = 0?
0, 2/5, 1, 8
Let p be (1/(5/17))/(-6 + 279/45). Let i(m) be the first derivative of 570*m**2 + 34295/4*m**4 + 40*m - p + 3610*m**3. Factor i(n).
5*(19*n + 2)**3
Let v(y) be the third derivative of 1/15*y**3 + 0*y**4 + 0*y + 0 - 1/600*y**5 + 56*y**2. Suppose v(u) = 0. Calculate u.
-2, 2
Let w(l) = 7 - 18 - l**2 + 3 + l**5 + 6 + l. Let g(t) = -70*t**5 - 90*t**4 + 35*t**3 + 85*t**2 - 45*t + 50. Let k(z) = -g(z) - 25*w(z). What is a in k(a) = 0?
-2, -1, 0, 1/3, 2/3
Suppose 5*c + 22 = -308. Let t = c - -69. Factor 10*j + 29*j - 16*j**2 - 7*j**4 - 7*j - 40*j**t - 5*j**4.
-4*j*(j + 2)**2*(3*j - 2)
Suppose -5*o + 1144 = 3*o. Factor 16 + o*a**3 - 69*a**3 - 12*a + 0*a - 73*a**3.
(a - 2)**2*(a + 4)
Let c = -711 - -729. Let s be (-12)/108*c/(-4). Factor 2 - 3/2*w - s*w**2.
-(w - 1)*(w + 4)/2
Let m(q) be the first derivative of -4*q**5/45 - 49*q**4/18 - 44*q**3/27 + 49*q**2/9 + 16*q/3 - 663. Suppose m(o) = 0. What is o?
-24, -1, -1/2, 1
Let s be 16/(-40) + (-6)/(-15). Suppose -28*t - 10*t + 152 = s. Find n, given that 15/4*n**3 + 0*n - 5/4*n**t + 0 - 5/2*n**2 = 0.
0, 1, 2
Let a(k) be the second derivative of -99*k**6/20 - 291*k**5/20 - 91*k**4/8 + k**3 - 826*k. Factor a(v).
-3*v*(v + 1)**2*(99*v - 4)/2
Factor -29061/5*z**2 - 27/5*z**3 + 19383/5*z - 3231/5.
-3*(z + 1077)*(3*z - 1)**2/5
Let p(h) = 13*h**2 - 475*h + 142. Let t(z) = 34*z**2 - 1423*z + 424. Let a(k) = -11*p(k) + 4*t(k). Determine f, given that a(f) = 0.
-67, 2/7
Let b(m) be the second derivative of -m**7/3360 + 11*m**6/1440 - m**5/12 + m**4/2 - 3*m**3 + 8*m - 2. Let r(t) be the second derivative of b(t). Factor r(h).
-(h - 4)**2*(h - 3)/4
Let g(m) be the third derivative of m**8/168 - 17*m**7/105 - 19*m**6/60 + 17*m**5/30 + 3*m**4/2 + 1386*m**2. Determine b, given that g(b) = 0.
-1, 0, 1, 18
Suppose 2*j + 108*k = 104*k + 72, 2*k = 36. Find z, given that j + 4/15*z**5 + 10/3*z**4 + 166/15*z**2 + 164/15*z**3 + 16/5*z = 0.
-8, -3, -1, -1/2, 0
Let -108/13*w - 224/13 + 2/13*w**2 = 0. What is w?
-2, 56
Let 20882*i - 10413*i - 3*i**3 - 10727*i + 63*i**2 + 288 = 0. Calculate i.
2, 3, 16
Solve 5/4*v**4 + 55*v**3 + 3135*v + 16245/4 + 1495/2*v**2 = 0.
-19, -3
Let m(u) = u**4 - 5*u**3 + 4*u**2 + 5. Let g(s) = -s**2 + s - 1. Let a(l) = -15*g(l) - 3*m(l). Find d such that a(d) = 0.
-1, 0, 1, 5
Let b(m) be the third derivative of m**7/140 + 9*m**6/80 + 7*m**5/20 - 9*m**4/4 - 18*m**3 + 164*m**2 + 1. Suppose b(k) = 0. Calculate k.
-6, -3, -2, 2
Let a(s) be the second derivative of s**5/10 + 2*s**4/3 - s**3 - 89*s**2/2 - 50*s. Let d(j) be the first derivative of a(j). Solve d(l) = 0 for l.
-3, 1/3
Let u(a) be the third derivative of a**6/3960 - a**5/165 - a**4/8 - 17*a**3/2 - 3*a**2 - 17. Let n(o) be the first derivative of u(o). Factor n(b).
(b - 11)*(b + 3)/11
Let j(x) be the third derivative of -x**8/112 - 3*x**7/70 + 9*x**6/20 + 2*x**5 + x**2 + 70*x. Find m such that j(m) = 0.
-5, -2, 0, 4
Let h(j) = -7*j**2 - j + 2. Let d(q) = -13*q**2 + 2012*q + 1014053. Let t(m) = -d(m) + 2*h(m). Factor t(f).
-(f + 1007)**2
Let x(f) be the second derivative of -11/6*f**3 + 0 - 1/12*f**4 - 5*f**2 + 77*f. Factor x(l).
-(l + 1)*(l + 10)
Let z(w) be the first derivative of -3*w**4/2 + 806*w**3/3 + 678*w**2 + 544*w - 2087. Factor z(q).
-2*(q - 136)*(q + 1)*(3*q + 2)
Suppose -2/9*j**4 + 124/9*j + 32/3 - 16/9*j**3 + 14/9*j**2 = 0. What is j?
-8, -2, -1, 3
Let x(z) be the first derivative of z**3/30 + 93*z**2/20 + 91*z/5 + 147. Determine m so that x(m) = 0.
-91, -2
Let u(r) be the third derivative of r**8/1344 - r**6/48 - r**5/12 - r**4/4 + r**3 - 8*r**2 + 3*r. Let i(x) be the second derivative of u(x). Factor i(y).
5*(y - 2)*(y + 1)**2
Suppose -5*n = -q + 10, -4*n + 49 = 26*q - 23*q. Suppose 0 = -a + 25 - 0. Let -35*g - 5*g**3 + g**2 + q + a*g**2 - g**2 = 0. Calculate g.
1, 3
Suppose -541*n + 545*n + 214 = 5*y, -108 = -3*y - n. Let s(h) be the second derivative of -5/12*h**4 + 0 + 15/2*h**2 - 5/3*h**3 + y*h. Factor s(c).
-5*(c - 1)*(c + 3)
Factor -25*t**3 - 3019 + 4*t + 2931 + 8*t**4 + 66*t**2 + 7*t**4 - 16*t**4 + 2*t**4.
(t - 22)*(t - 2)**2*(t + 1)
Let w(m) = m**3 - 4*m**2 + 2*m - 3. Let q be w(4). Suppose -3*n = -4*n + q. Factor y + 12*y**2 + 9*y + 6 + n*y + 3*y**3.
3*(y + 1)**2*(y + 2)
Suppose -56*v**3 + 15*v**3 + 13*v**3 - 218*v + 257*v**2 - 12 + 10*v - 9*v**3 = 0. Calculate v.
-2/37, 1, 6
Let c(j) = -7*j**4 + 27*j**3 + 139*j**2 + 201*j + 100. Let h(d) = 5*d**4 - 27*d**3 - 138*d**2 - 199*d - 96. Let u(s) = -3*c(s) - 4*h(s). Factor u(q).
(q + 1)**2*(q + 4)*(q + 21)
Factor -5*n**2 + 3*n**2 - 891825*n + 892055*n + 2232.
-2*(n - 124)*(n + 9)
Let r = 2/152717 + 152711/458151. Determine u, given that 7/3*u + 4 + r*u**2 = 0.
-4, -3
Factor -42652 + 3678*n**3 + 96187 + 57840 + 46*n**4 + 125*n**4 + 35910*n**2 - 22641*n + 166416*n + 3*n**5.
3*(n + 1)*(n + 11)*(n + 15)**3
Suppose -2830*l - 392 - 5*l**2 + 1371*l - 5*l**3 + 1305*l + 6*l**3 + 28*l**2 = 0. Calculate l.
-28, -2, 7
Let y = -329 - -337. Factor -y*z**3 - 10*z - 5*z + 2*z**2 + 26*z**3 - 5*z**2.
3*z*(z - 1)*(6*z + 5)
Let t(m) = -4*m**4 - 23*m**3 - 82*m**2 - 63*m + 3. Let j(h) = 7*h**4 + 45*h**3 + 163*h**2 + 125*h - 5. Let y(w) = 6*j(w) + 10*t(w). Let y(v) = 0. What is v?
-15, -4, -1, 0
Let r be (2200/165)/(4/6). Let 132*v**3 - r*v + 23 - 12*v**4 + 10*v**2 + 4*v**2 + 10 - 5*v**2 - 82*v = 0. What is v?
-1, 1/2, 11
Let p(j) be the second derivative of -55/6*j**3 + 0 + 0*j**2 - 178*j + 1/4*j**5 + 25/6*j**4. Find h, given that p(h) = 0.
-11, 0, 1
What is c in -c**3 - 1632 - 1572 - 232*c + 24*c**2 - 85*c**2 + 2976 = 0?
-57, -2
Let y = 217247/144842 - -8/72421. Factor -1/4*i**3 - 1 - y*i**2 - 9/4*i.
-(i + 1)**2*(i + 4)/4
Factor 633750/7*k + 2/7*k**3 + 68656250/7 + 1950/7*k**2.
2*(k + 325)**3/7
Let t(g) be the first