-12*y - 15*y + 9*y + z*y**2 - 11*y**2 = 0. What is y?
0, 9
Let h(y) be the second derivative of -104*y**3 - 1/15*y**6 + 2*y + 12/5*y**5 - 169*y**2 - 30 - 59/3*y**4. Factor h(r).
-2*(r - 13)**2*(r + 1)**2
Suppose 600*f = 584*f. Let p(d) be the third derivative of 0 + 1/20*d**5 + f*d - 1/6*d**4 - 8*d**2 - 2/3*d**3. Factor p(r).
(r - 2)*(3*r + 2)
Let f(v) = 1936*v + 119*v**2 + 14*v**3 + 1772 + 49*v**2 - 6*v**3. Let z(p) = p**3 - p**2 + p + 2. Let t(a) = -f(a) + 4*z(a). What is k in t(k) = 0?
-21, -1
Let l(k) be the third derivative of -k**6/40 + 29*k**5/20 + 381*k**4/8 + 351*k**3/2 + 59*k**2 + 12*k - 1. Suppose l(t) = 0. What is t?
-9, -1, 39
Factor -1276616/7*y - 1/7*y**5 + 1279225/7*y**2 - 429019/7*y**3 + 425104/7 + 1307/7*y**4.
-(y - 652)**2*(y - 1)**3/7
Let x be (806/(-210) + 4)*6426/5187. Let l = x + -1/1729. Factor -2/5*d - l*d**2 - 1/5.
-(d + 1)**2/5
Let p(d) be the first derivative of 0*d**5 - 22 - 10/3*d**3 + 0*d**2 - 1/900*d**6 + 0*d + 1/60*d**4. Let f(z) be the third derivative of p(z). Factor f(j).
-2*(j - 1)*(j + 1)/5
Let l(x) be the second derivative of -x**4/36 - 43*x**3/18 - 37*x**2 - 1832*x. Suppose l(c) = 0. What is c?
-37, -6
Let n(s) be the third derivative of -s**8/672 - s**7/84 + s**6/240 + s**5/24 + 3369*s**2 + 2*s. Let n(l) = 0. What is l?
-5, -1, 0, 1
Let g(i) be the first derivative of 493039*i**4 + 249640*i**3 + 47400*i**2 + 4000*i + 1092. Suppose g(w) = 0. What is w?
-10/79
Let r = -166 - -171. Determine s so that -16 - 44 + 23*s**2 + 37*s**2 - 70*s**3 - 15*s + 80*s + r*s**5 = 0.
-4, -1, 1, 3
Let b(m) be the third derivative of m**6/30 + 88*m**5/15 + 256*m**4 - 12288*m**3 - 1605*m**2. What is a in b(a) = 0?
-48, 8
Let m be (4/(-7))/((-26)/91). Let -27*c - 84*c + 19*c - 12 + 32*c**m = 0. Calculate c.
-1/8, 3
Factor -1 - 1356*t + 276*t + 1020 + 66 - 5*t**2.
-5*(t - 1)*(t + 217)
Let l(g) be the second derivative of g**5/110 - g**4/6 + 38*g**3/33 - 40*g**2/11 - 81*g - 4. Factor l(r).
2*(r - 5)*(r - 4)*(r - 2)/11
Let y(k) be the third derivative of -k**6/30 - 6*k**5/5 - 11*k**4/2 - 32*k**3/3 + 2417*k**2. Determine m so that y(m) = 0.
-16, -1
Let h(r) be the second derivative of -3*r**5/20 - 17*r**4/4 + 133*r**3/2 - 345*r**2/2 + 1492*r. Factor h(w).
-3*(w - 5)*(w - 1)*(w + 23)
Suppose 7*s + 233 = 184. Let a(z) = 27*z + 192. Let h be a(s). Solve -5/2*c + c**2 + 1/2*c**3 - h = 0 for c.
-3, -1, 2
Let o = -1874 - -517. Let k = 1357 + o. Find p such that 0*p**3 + k + 2/13*p**5 - 4/13*p**4 - 2/13*p + 4/13*p**2 = 0.
-1, 0, 1
Suppose 0 = d - 17 + 3. Determine z so that -z**5 - 48*z**2 + 4*z**5 + 5*z**4 + 3*z + 14 + 10 + 5*z**4 + d*z**4 - 6*z**3 = 0.
-8, -1, 1
Let t(p) be the first derivative of p**4/5 - 1076*p**3/15 - 2*p**2/5 + 1076*p/5 - 874. Determine m, given that t(m) = 0.
-1, 1, 269
Let o be (1*-5 + (-3381)/(-882))*(-468)/84. Let 0 - 24*x**2 - 18*x - o*x**3 - 1/2*x**4 = 0. Calculate x.
-6, -1, 0
Suppose 4*a = -4*q + 4428, -3*q + 1103 = -0*a + a. Suppose 3*h**2 - 335 + 384*h + 186*h - a - 19*h**2 + 2*h**3 + 88*h**2 = 0. Calculate h.
-19, 2
Let b(m) be the first derivative of m**4/108 - 2*m**3/27 + m**2/6 + 73*m - 59. Let j(h) be the first derivative of b(h). Determine z, given that j(z) = 0.
1, 3
Let q(r) be the third derivative of -r**5/270 - 79*r**4/27 - 24964*r**3/27 + 10*r**2 - 4*r - 8. Solve q(n) = 0 for n.
-158
Solve 1248/7*h**3 - 688/7*h + 138/7 + 18/7*h**4 + 404/7*h**2 = 0.
-69, -1, 1/3
Let p(k) = -2 - k - 17*k - k**3 + 17*k**2 + 2*k + 4. Let y be p(16). Let 0*u - 1/6*u**y + 1/6 = 0. What is u?
-1, 1
Solve -4*q**3 - 148*q**5 + 24*q**2 - 16*q - 63*q**4 + 57*q**4 + 150*q**5 = 0.
-2, 0, 1, 2
Let 13447/5*y + 1/5*y**3 - 47*y**2 + 42483/5 = 0. What is y?
-3, 119
Determine o, given that -8/3 + 2/9*o**4 + 32/9*o - 8/9*o**3 - 2/9*o**2 = 0.
-2, 1, 2, 3
Let y(l) be the third derivative of -l**5/20 - 99*l**4/4 + 803*l**2. Factor y(k).
-3*k*(k + 198)
Let i = -10 - -14. Let n(m) = -23*m**3 - 55*m**2 + 24*m. Let j(b) = 18100*b**3 + 12*b - 18111*b**3 + 0*b**2 - 28*b**2. Let y(o) = i*n(o) - 7*j(o). Factor y(q).
-3*q*(q + 2)*(5*q - 2)
Solve -1626 + 65*s**3 + 22*s**2 - 1175*s**2 + 9600*s + 186 - 173*s**2 - 244*s**2 = 0.
2/13, 12
Let w(l) = 69*l - 49. Let m be w(6). Let z be (-22)/(-55) - (m/(-275) + 1). Solve z*s**4 - 2/11*s**2 + 0 + 1/11*s**3 + 5/11*s**5 + 0*s = 0.
-1, 0, 2/5
Let q(g) be the second derivative of 5625*g**4/4 - 150*g**3 + 6*g**2 + 82*g - 3. Suppose q(m) = 0. What is m?
2/75
Let b(u) = -u**2 + u. Let a(p) = -38*p**2 - 564 - 31*p - 559 + 1123 + 12*p**2. Let w(o) = -a(o) + 5*b(o). What is k in w(k) = 0?
-12/7, 0
What is f in 6*f**2 - 213*f - 80 - 11*f**2 + 253*f = 0?
4
Let p be 108/30 - 1/((-20)/(-12)). Find i such that -2*i**2 + 1859*i**3 - 1 + 1 - 1861*i**p + 4*i = 0.
-2, 0, 1
Let i(h) = h**2 - 11*h + 94. Let l be i(-13). Let b be (l/(-42) - -9)*-1*1. Find n, given that 16*n**2 + b*n**3 + 128*n + 1024/3 = 0.
-8
Let n(j) = 32536*j + 488044. Let m be n(-15). Determine f so that -2/9 - 9826/9*f**m + 104/9*f + 11560/9*f**3 - 204*f**2 = 0.
1/17, 1
Determine g, given that 0 + 0*g - 723/5*g**2 + 3/5*g**3 = 0.
0, 241
Let -2/11*g**2 + 2/11*g**4 + 0*g**3 + 0 + 0*g = 0. What is g?
-1, 0, 1
Let b = -597 - -597. Suppose b = 5*w - h - 11, -w + 5*h + 7 = 0. Determine o, given that 3/7 + 3/7*o**4 + 0*o**3 + 0*o - 6/7*o**w = 0.
-1, 1
Let b be (9/45)/(282/940). Factor 0 + 2/3*s + 0*s**2 - b*s**3.
-2*s*(s - 1)*(s + 1)/3
Let u(v) be the first derivative of 6*v**6/25 - 11*v**5/25 + 2*v**4/15 + 29*v + 66. Let z(o) be the first derivative of u(o). Factor z(j).
4*j**2*(j - 1)*(9*j - 2)/5
Let d be (-3)/9*(-7 + 1). Let f = -5/2516 + 2531/7548. Factor 1/3*k**3 + k**d + k + f.
(k + 1)**3/3
Suppose -f - 35 = -u, -4*u + 5*f + 144 = -0*f. Suppose 11 = c - v, c - v - 4*v = u. Factor 4 + 3*a**2 - 18*a - 6*a**2 + c*a**2 + 23.
3*(a - 3)**2
Let p(n) be the third derivative of -1/20*n**5 + 2*n**3 + 3/8*n**4 - 90*n**2 + 0*n + 0. Determine u so that p(u) = 0.
-1, 4
Suppose -54 = 23*c - 17*c. Let u be c*(-2)/(-6) - (-54)/10. Factor -18/5 + u*q - 2/5*q**2.
-2*(q - 3)**2/5
Let c = -67336 - -336683/5. Suppose c*l**2 - 42/5 - 3*l = 0. What is l?
-2, 7
Let t(n) be the third derivative of 1/420*n**6 + 0*n**4 + 0*n**3 + 0 + 0*n**5 - 14*n**2 + 0*n + 1/735*n**7. Suppose t(q) = 0. What is q?
-1, 0
Let y(v) = -17*v + 5*v**2 + 3*v**2 + 4*v**2 - 164*v - 7*v**2 + 4229. Let w(r) = -26*r**2 + 904*r - 21144. Let k(c) = -3*w(c) - 16*y(c). Solve k(q) = 0.
46
Let u be 5 - ((-4)/(-10) + 3726/(-40)). Let p = u - 97. Solve j**3 + 2*j**4 + 0*j**2 + p*j**5 + 0 + 0*j = 0 for j.
-2, -2/3, 0
Let d be 1/(8*(-3)/(-96)). Let m = -5426/5 - -22379/20. Suppose -m*t**2 - 69/4*t**3 - 3/8*t**5 - 33/8*t**d - 81/8 - 243/8*t = 0. What is t?
-3, -1
Factor -2*b**2 - 970*b - 8 + 19 - 1763 - 784*b.
-2*(b + 1)*(b + 876)
Suppose -192*r + 190*r - 5*i - 26 = 0, i = 5*r - 16. Factor 1/2*o**r - 2*o - 6.
(o - 6)*(o + 2)/2
Let a be (-3)/(10/(5 + -15)). Factor 3/7 + 19/7*m**2 + 2/7*m**4 + 13/7*m + 11/7*m**a.
(m + 1)**2*(m + 3)*(2*m + 1)/7
Suppose -57*u - 99 = -66*u. Factor -20*a + 12 + 14 - 5*a**2 - 52 + u.
-5*(a + 1)*(a + 3)
Determine z so that 2/3*z**4 - 60 - 91/3*z**3 + 364/3*z + 37/3*z**2 = 0.
-2, 1/2, 2, 45
Let b(f) = -f**3 + f + 2. Let j be b(0). Let x be (j - (6 - 3))*-2. Factor -14*l**3 + 17*l**3 - 5*l**3 - 12*l + 14*l**x.
-2*l*(l - 6)*(l - 1)
Determine c, given that 9*c**4 - 1020*c + 52020 - 52015*c**2 - 14*c**4 + 376*c**3 + 685*c**3 - 41*c**3 = 0.
-1, 1, 102
Let n(q) be the third derivative of -1/378*q**7 + 95*q**2 + 0*q**3 + 0 - 1/60*q**6 + 2/135*q**5 + 0*q**4 + 0*q. Factor n(k).
-k**2*(k + 4)*(5*k - 2)/9
Let y(j) be the first derivative of j**5/480 + 12*j**2 - j + 36. Let d(i) be the second derivative of y(i). Find o, given that d(o) = 0.
0
Let c(b) be the first derivative of -b**3/4 + 27*b**2/2 - 1021. Factor c(n).
-3*n*(n - 36)/4
Let 1352 + 231/2*f**3 - 4004*f + 5773/2*f**2 + 9/8*f**4 = 0. Calculate f.
-52, 2/3
Let g(y) be the second derivative of 4*y - 7/2*y**7 + 18*y**2 + 163/4*y**4 + 44*y**3 - 35/2*y**6 - 117/20*y**5 + 9. Solve g(u) = 0 for u.
-3, -1, -2/7, 1
Let o(p) = 116*p**2 + 24*p + 114*p**2 - 369 + 109 - 235*p**2. Let k(q) = -4*q**2 + 26*q - 259. Let y(z) = 4*k(z) - 3*o(z). Suppose y(g) = 0. What is g?
16
Suppose 0 = 3*f + 127 - 40. Let y = 32 + f. Factor 27*j**y + 5*j**4 - 2*j**4 + 24*j