 -7*n + 4*n + 27657 = 0. Find z, given that -9219 + 2*z**2 + n + 2*z = 0.
-1, 0
Factor -12800/9 - 2/9*x**2 - 320/9*x.
-2*(x + 80)**2/9
Let b(p) be the third derivative of 2/135*p**5 + 0*p + 2/9*p**3 + 15 - 11/108*p**4 + 3*p**2. Factor b(k).
2*(k - 2)*(4*k - 3)/9
Let t(u) = 7*u**2 + 4*u + 4. Let g(v) = 13*v**2 + 8*v + 8. Suppose -11*b + 9*b + 152 = 0. Let z = b + -70. Let a(p) = z*g(p) - 11*t(p). What is o in a(o) = 0?
-2
Let a(m) be the third derivative of 1/105*m**6 + 4/7*m**3 - 1/735*m**7 - 178*m**2 + 0*m + 0 + 1/210*m**5 - 4/21*m**4. Let a(p) = 0. Calculate p.
-2, 1, 2, 3
Let x = -214539 - -214544. Solve -8/5 + 4/5*z - 53/5*z**3 - 98/5*z**4 + 49/5*z**x + 106/5*z**2 = 0 for z.
-1, -2/7, 2/7, 1, 2
Let r = 192 + -190. Suppose d**2 - 4*d**4 + 5*d**4 - 3*d**r + d**4 = 0. Calculate d.
-1, 0, 1
Let v(p) be the first derivative of -p**4 + 284*p**3/3 + 148*p**2 - 576*p - 1032. What is u in v(u) = 0?
-2, 1, 72
Let g = 316 + -314. Suppose -45*f - 13*f**g + 40*f**3 + 5*f**5 + 2*f**2 + 9*f**2 + 20 - 30*f**4 + 12*f**2 = 0. Calculate f.
-1, 1, 4
Let c(d) = -2975*d + 83300. Let z be c(28). Factor z - 20/7*o + 2/7*o**2.
2*o*(o - 10)/7
Let g(s) = s**2 + 2704*s - 2720. Let u(l) = l**2 + 2704*l - 2723. Let m(r) = 6*g(r) - 5*u(r). Solve m(i) = 0.
-2705, 1
Let s(p) be the third derivative of p**6/4 - 131*p**5/90 - 16*p**4/3 - 16*p**3/9 - 3057*p**2. Factor s(f).
2*(f - 4)*(f + 1)*(45*f + 4)/3
Let m = 219471 - 658385/3. Suppose -m*q + 10 - 2/3*q**2 = 0. What is q?
-15, 1
Let k(g) be the second derivative of -g**3 - 3*g**2/2 + 8*g. Let i be k(-1). Find j such that -4*j**3 - j**3 + 3*j**i - 12*j + 14*j = 0.
-1, 0, 1
Suppose 0 - 8/9*k - 2/9*k**2 = 0. Calculate k.
-4, 0
Suppose 2 = 4*t + s - 11, -3*s = 3*t - 3. Let -40*a**2 - 39*a**3 - 100*a**5 + 22271*a**4 + 331*a**3 - 22711*a**t = 0. Calculate a.
-5, 0, 1/5, 2/5
What is s in 574335*s**2 + 18626*s + 135 - 2116*s + 7758850*s**3 + 13854500*s**4 + 6655000*s**5 - 1390*s = 0?
-1, -3/110
Let a(m) = -6*m**3 - 949*m**2 + 51*m + 954. Let y(t) = 7*t**3 + 950*t**2 - 61*t - 956. Let x(q) = 6*a(q) + 5*y(q). What is s in x(s) = 0?
-944, -1, 1
Factor 329*l**2 + 3*l**3 + 220*l**2 + 2523*l + 22317*l - 25392.
3*(l - 1)*(l + 92)**2
Let m(o) be the first derivative of 2*o**3/3 + 69*o**2 + 2068*o - 9099. Factor m(j).
2*(j + 22)*(j + 47)
Let p be ((-828)/2760)/((-54)/40). Suppose 1/9*y**2 + p - 1/3*y = 0. Calculate y.
1, 2
Let z be (-1 - -2)/(-2 - 28/(-12)). Suppose t**2 - 4*t**2 - 3*t**3 - 3*t**4 - z*t**3 = 0. Calculate t.
-1, 0
Let x = -1216 + 12179/10. Let j(p) be the second derivative of -3/50*p**6 + 0 + 3/5*p**5 + 27/10*p**2 + 3*p + 6/5*p**3 - x*p**4. Find i such that j(i) = 0.
-1/3, 1, 3
Suppose 0 = 15*q + 18*q - 2970. Let c be ((-4)/(-24))/(760/q - 8). Suppose 0 + c*i**2 + 3/8*i = 0. Calculate i.
-1, 0
Let r be 5/5 + -12 - 528/(-33). Let 3/8*m**3 + 1/8*m**r - m + 13/8*m**2 - 3/2 - 5/8*m**4 = 0. Calculate m.
-1, 2, 3
Let r(f) = -3*f**3 + 193*f**2 + 983*f - 207. Let s(q) = 11*q**3 - 778*q**2 - 3929*q + 829. Let u(j) = 36*r(j) + 8*s(j). Solve u(o) = 0.
-5, 1/5, 41
Let y(t) be the second derivative of t**5/4 - 55*t**4/12 - 605*t**3/6 + 6655*t**2/2 + 66*t + 2. Factor y(n).
5*(n - 11)**2*(n + 11)
Let d(w) = -w**3 + 16*w**2 - 48*w + 1. Let t be d(12). Suppose -6 = -a + 5*g + t, 2*a - 2*g - 6 = 0. Suppose 8/5*y - 48/5*y**3 - 4/5 + 44/5*y**a = 0. What is y?
-1/3, 1/4, 1
Let a(t) be the third derivative of -t**7/280 + 17*t**6/80 + 19*t**5/20 - 17*t**4/4 - 36*t**3 + 78*t**2 - 6*t. Suppose a(i) = 0. What is i?
-2, 2, 36
Suppose 2*m + 5 = -3*m + 4*l, 0 = -l + 5. Let w be 190/63 - 196/441. Factor 0 - 4/7*k**m + w*k**2 - 8/7*k.
-2*k*(k - 4)*(2*k - 1)/7
Let i(q) be the first derivative of -q**6/9 - 2*q**5/15 + 2*q**4 + 1906. What is t in i(t) = 0?
-4, 0, 3
Let l(s) = -2*s**3 - 69*s**2 - 162*s - 64. Let m be l(-32). Find h, given that -12/5*h**4 - 24/5*h**2 + m - 2/5*h**5 - 26/5*h**3 - 8/5*h = 0.
-2, -1, 0
Let y(n) be the first derivative of -n**6/15 + 4*n**5/25 - 4*n**3/15 + n**2/5 - 10085. Factor y(x).
-2*x*(x - 1)**3*(x + 1)/5
Let f(u) be the third derivative of u**7/630 + 31*u**6/720 + 13*u**5/30 + 35*u**4/16 + 6*u**3 + 1784*u**2. Suppose f(k) = 0. What is k?
-8, -3, -3/2
Let c = -852256/11 - -77478. Suppose c*b - 2/11*b**4 + 2/11*b**2 - 2/11*b**3 + 0 = 0. Calculate b.
-1, 0, 1
Let p = -1030 - -66951/65. Let c(j) be the second derivative of 16*j + p*j**5 + 0 - 1/13*j**2 + 1/78*j**4 - 2/39*j**3. What is h in c(h) = 0?
-1, -1/2, 1
Let 3496/5*w + 1124/5*w**2 - 5776/5 - 2/5*w**5 - 866/5*w**3 + 16*w**4 = 0. What is w?
-2, 2, 19
Solve 2/5*j**2 + 1900960 - 1744*j = 0 for j.
2180
Let w be 10 + (-16 + 17)*-8. Let h(n) be the second derivative of -1/3*n**4 - 4*n**w - 1/40*n**5 - 31*n - 5/3*n**3 + 0. Solve h(t) = 0.
-4, -2
Let s(n) be the second derivative of 3*n**5/20 + 35*n**4/4 + 67*n**3/2 + 99*n**2/2 + 426*n + 5. Solve s(v) = 0.
-33, -1
Let r(j) = -j**2 + 8*j - 3. Let t(z) = -4*z**2 + 49*z - 9. Let q(p) = 3*r(p) - t(p). Factor q(g).
g*(g - 25)
Let c(d) be the first derivative of -5*d**6/6 + 20*d**5 + 5*d**4/4 - 100*d**3/3 + 1011. Determine v so that c(v) = 0.
-1, 0, 1, 20
Suppose 23*r - 996 = 28*r + 2*b, 987 = -5*r + b. Let i be (64/(-28) - 0)*154/r. Factor -i*y**2 + 32/9*y**3 - 14/9*y - 2/9.
2*(y - 1)*(4*y + 1)**2/9
Let s = 32101/2 + -16046. Let g(q) be the first derivative of 3/5*q**5 - 6*q + 1 + s*q**2 + q**3 - 9/4*q**4. Let g(z) = 0. Calculate z.
-1, 1, 2
Suppose 3*a = 4*b - 7858 + 7826, -3*a - 34 = -5*b. Let 722/11*w + 0 + 76/11*w**b + 2/11*w**3 = 0. What is w?
-19, 0
Let f(t) = -t**2 - 4*t + 1. Let u be f(-2). Suppose 4*b = 2 + 6, -u*b = -v + 81. Factor -v + 50*m - 34 - 13*m**2 + 8*m**2.
-5*(m - 5)**2
Let w(d) be the first derivative of 0*d - 21/5*d**5 - 87 + 57/4*d**4 + 34*d**3 + 12*d**2. Determine t, given that w(t) = 0.
-1, -2/7, 0, 4
Let i(t) be the second derivative of 2 + 7*t + 1/10*t**5 + 0*t**4 + 0*t**2 + 1/30*t**6 + 0*t**3. Let i(b) = 0. Calculate b.
-2, 0
Let m(b) be the second derivative of b**7/126 + b**6/15 - 17*b**5/60 - b**4/6 + 8*b**3/9 + 5*b - 64. What is q in m(q) = 0?
-8, -1, 0, 1, 2
Suppose c + 49 = 120. Suppose 0 = 4*j - 0*j + 3*m - c, -5*m = 5*j - 95. Determine n, given that -15*n - j - 8 + 105*n**2 + 4 - 108*n**2 = 0.
-3, -2
Let d = -242 + 246. Factor -357 + 34*t**2 + 15*t - d*t - t + 4*t + 337.
2*(t + 1)*(17*t - 10)
Let m(d) be the second derivative of 121/4*d**2 + 3/5*d**5 + 83/12*d**4 + d - 19 + 1/60*d**6 + 22*d**3. Suppose m(u) = 0. What is u?
-11, -1
Let j(p) = p**2 + 4*p + 1. Let s(a) = -10*a**2 - 30*a - 8. Let h(b) = 2*b + 33. Let r be h(-16). Let c(i) = r*s(i) + 4*j(i). Factor c(y).
-2*(y + 2)*(3*y + 1)
Let k(y) be the second derivative of -2*y**7/147 + 16*y**6/105 + 59*y**5/35 + 26*y**4/7 + 412*y. Find a such that k(a) = 0.
-3, -2, 0, 13
Factor -1/2*t + 51*t**2 + 1/2*t**3 - 51.
(t - 1)*(t + 1)*(t + 102)/2
Let i be 450 + 1 + -8 + 16 + -11. Suppose -40*s = -12*s - i. Find k such that -13/3*k**3 - 1/3*k**2 + 0 - s*k**4 + 0*k - 12*k**5 = 0.
-1, -1/6, 0
Let n(g) be the second derivative of -g**4/3 - 357*g**3 + 536*g**2 - 8*g + 60. Suppose n(t) = 0. What is t?
-536, 1/2
Factor -852/7 - 3/7*l**2 + 432/7*l.
-3*(l - 142)*(l - 2)/7
Let b = 108 + -107. Let j be ((-3)/(-12))/(1/(12/b)). Find s, given that 3 - 3957*s**2 + 3*s**j + 3999*s**2 - 3 = 0.
-14, 0
Find m, given that -605*m**4 + 341*m**3 + 144/5*m + 1176/5*m**2 + 0 = 0.
-12/55, 0, 1
Solve -50/3*l**3 - 11552/3*l + 0 + 1520/3*l**2 = 0.
0, 76/5
Let h(z) be the second derivative of -20/9*z**4 + 3/40*z**5 + 27/2*z**2 + 60*z + 0 + 77/4*z**3. Find s such that h(s) = 0.
-2/9, 9
Let d(c) = -3*c**4 + 16*c**3 - 64*c**2 + 74*c. Let h(z) = z**4 + z**3 + 2*z**2 - 9*z. Let n(b) = 3*d(b) + 6*h(b). Factor n(w).
-3*w*(w - 14)*(w - 2)**2
Let v = 16/67467 + 48980930/472269. Suppose -3/7*j**3 - 72/7*j**2 - v - 495/7*j = 0. Calculate j.
-11, -2
Let q(c) be the second derivative of 35 - 1/5*c**5 + 0*c**2 + 2/15*c**3 + 1/15*c**4 - c + 2/25*c**6. Factor q(p).
4*p*(p - 1)**2*(3*p + 1)/5
Let 447/8*d + 225/4 - 3/8*d**2 = 0. What is d?
-1, 150
Let k be 2 + (19/((-95)/(-30)) - 2). Let z(q) = -q**2 - 3*q + 3. Let n be z(-3). Factor 10*t - 3 - t - k*t + 3*t**2 - n*t**3.
-3*(t - 1)**2*(t + 1)
Suppose -1840*f - 9 = -1843*f. Let d(y) be the third derivative of -1/300*y**6 - 5*y**2 + 0*y**f + 0 + 1/