*2 - 4*t = 0.
-1, 2
What is y in -96*y - 244/5*y**3 + 0 + 4/5*y**5 - 8/5*y**4 - 712/5*y**2 = 0?
-4, -3, -1, 0, 10
Let q(r) be the third derivative of -r**5/210 + 2*r**4/7 - 95*r**3/21 - 3148*r**2. What is b in q(b) = 0?
5, 19
Let u(z) = -z**2 - 15*z - 29. Let x be u(-11). Factor 212 - 6*t**3 + x*t**3 - 652 - 50*t**2 - 11*t**3 - 286 - 374*t.
-2*(t + 3)*(t + 11)**2
Let y = -1035355 - -3106066/3. Factor -41/3 - y*o**2 + 14*o.
-(o - 41)*(o - 1)/3
Suppose -436 - 64 = -149*v + 24*v. Let z(n) be the second derivative of -1/78*n**v + 0 + 1/13*n**2 + 0*n**3 - 8*n. Determine h so that z(h) = 0.
-1, 1
Solve 14660929*d**2 - 206 - 1666 - 14660925*d**2 + 928*d = 0.
-234, 2
Let z(q) be the first derivative of -q**4/6 + 2*q**3/3 + 8*q**2 + 56*q/3 - 941. Factor z(r).
-2*(r - 7)*(r + 2)**2/3
Suppose -r - 38 = -3*r. Let p(o) = -12*o - 22. Let h be p(-2). Suppose -4*b**5 - 19*b + 4*b**3 - 3*b**2 + 4*b**4 - b**h + r*b = 0. Calculate b.
-1, 0, 1
Suppose -12*n**2 + 5*n**3 + 74836*n - 75088*n - 36*n**2 + n**4 = 0. Calculate n.
-6, 0, 7
Let c(o) be the first derivative of o**8/2520 - 17*o**6/540 + o**5/5 - 5*o**4/9 - 173*o**3/3 + 145. Let q(s) be the third derivative of c(s). Solve q(w) = 0.
-5, 1, 2
Let g be -13 - (-7 - 3) - 5/(-1). Determine r, given that -42*r**g + 9 + r**4 + r**4 + 12*r + 2*r**4 + 12*r**3 + 5*r**4 = 0.
-3, -1/3, 1
Let t be -5 + 3 + -2 + (-308)/(-42). Suppose 3*l - 7 - 5 = -3*i, -4*l + 12 = 2*i. Factor 10/3 - t*b + 5/6*b**i.
5*(b - 2)**2/6
Let o = 228 + -94. Suppose 70*f**4 + 12*f**3 - o*f**4 - 4*f**5 - 64*f**2 - 64*f + 74*f**4 + 2*f**5 = 0. Calculate f.
-2, -1, 0, 4
Let o(n) be the first derivative of 2*n**3/3 - 6*n**2 - 50*n - 338. Let h be o(9). Solve 73/2*q**h + 2*q**5 + 81/2*q**2 + 0 + 171*q**3 + 0*q = 0.
-9, -1/4, 0
Let z(o) = o**2 + 817*o - 238. Let s(c) = -2*c**2 - 410*c + 120. Let v(x) = 5*s(x) + 3*z(x). Solve v(b) = 0.
2/7, 57
Let x(l) be the third derivative of 4 - 61/150*l**5 - l**2 + 0*l - 1/525*l**7 - 3/50*l**6 - 20/3*l**3 + 3*l**4. Solve x(b) = 0 for b.
-10, 1
Let u(f) = -6*f**2 + 201 - f**3 - 225 - 7*f**2 + 2*f**3 - 12*f. Let p be u(14). Solve p - 3*g + 0*g**2 + 1/4*g**3 = 0.
-4, 2
Let z be (-45)/(-12)*32/12. Factor -13*m**3 - 10*m + 28*m**3 - 5*m + 5*m**2 + 5*m**4 - z.
5*(m - 1)*(m + 1)**2*(m + 2)
Let z(l) be the first derivative of 8/11*l - 19/22*l**4 + 14/55*l**5 - 1/33*l**6 + 211 + 50/33*l**3 - 16/11*l**2. Factor z(q).
-2*(q - 2)**2*(q - 1)**3/11
Let t(m) = -2*m**2 - 94*m - 882. Let d be t(-34). Suppose 4*b = 0, -5 = -o - b - 3. Factor -16*k + k**d + 2 + 3*k**o - 8*k**2 - 18.
-4*(k + 2)**2
Let r(k) be the first derivative of -k**6/12 - k**5/5 + 3*k**4/4 + 4*k**3/3 - 5*k**2/4 - 3*k + 1786. Determine y, given that r(y) = 0.
-3, -1, 1, 2
Let t = -9/2161 - -13029/15127. Factor 0*w**2 + 6/7*w**4 - t*w**3 + 0 + 0*w.
6*w**3*(w - 1)/7
Let s(d) = 2*d**2 + 67*d + 339. Let q(i) = -8*i**2 - 265*i - 1355. Let a(c) = -6*q(c) - 22*s(c). Let a(x) = 0. What is x?
-21, -8
Let b(y) be the third derivative of -y**8/84 + 6*y**7/35 - 11*y**6/15 + 16*y**4/3 + 2190*y**2. Let b(i) = 0. What is i?
-1, 0, 2, 4
Let w(y) = 5*y**2 + y + 2. Let q be w(3). Let n = -3087 - -3195. Find f such that -n*f**2 + q*f**2 + 60*f + 53*f**2 = 0.
0, 12
Determine m, given that -3*m**3 - 189*m + 2 + 1930*m**2 - 2 - 1858*m**2 = 0.
0, 3, 21
Let c = 1028878 - 7202142/7. Factor 1/7*y**4 + 6/7*y**2 + 4/7*y + c*y**3 + 1/7.
(y + 1)**4/7
Let n be (-8)/(-208)*-4 - 134/(-26). Let m(a) be the first derivative of 7/3*a**3 - 7/5*a**n + 0*a + 3/2*a**2 - 3/4*a**4 + 4. Factor m(j).
-j*(j - 1)*(j + 1)*(7*j + 3)
Suppose -5*r - 3892*i = -3889*i - 34, 0 = 6*r + 3*i - 36. Factor 60*c - 3/2*c**3 - 33/2*c**r - 42.
-3*(c - 2)*(c - 1)*(c + 14)/2
Solve -83*l**2 - 97*l**2 - 619*l**5 + 210*l**5 + 202*l**5 + 202*l**5 - 65*l**4 - 200*l**3 = 0.
-9, -2, 0
Let u be (-32)/(-624) - 760/(-390). Factor -2/7*l**u - 16/7*l - 32/7.
-2*(l + 4)**2/7
Let m(x) be the first derivative of -2*x**6/3 - 396*x**5/5 - 3626*x**4 - 233632*x**3/3 - 724416*x**2 - 1229312*x + 3238. What is o in m(o) = 0?
-28, -14, -1
Let i(v) = -2*v**2 - 38*v + 4. Let l be i(-19). Solve 10*h**3 - 7*h**4 + 6*h**2 - 8 - 10*h + 17*h**4 - 4*h**4 - 4*h**l = 0 for h.
-4, -1, 1
Let n(s) be the third derivative of 34 - 2*s**3 - 2*s**2 - 1/60*s**6 + 0*s + 7/12*s**4 + 0*s**5. Find u such that n(u) = 0.
-3, 1, 2
Let m be ((-28938)/5)/((-36)/126). Let q = m + -20188. Factor -1/5*o**3 + q - 147/5*o + 21/5*o**2.
-(o - 7)**3/5
Find s, given that -279/2*s + 0 - 177/2*s**2 + 99/2*s**3 - 3/2*s**4 = 0.
-1, 0, 3, 31
Let z(m) = -m**3 - m**2 + m + 1. Let w be (-34)/(-12) + 26/156. Let x be 8/(-6) + (-2)/w. Let j(q) = -2*q**3 + 2. Let u(k) = x*j(k) + 3*z(k). Factor u(i).
(i - 1)**3
Let x = 8/21977 + 43914/109885. What is c in 8/5*c + x*c**2 - 2 = 0?
-5, 1
Let u(p) be the third derivative of p**8/240 + 8*p**7/105 - 59*p**6/600 - 11*p**5/25 + 528*p**2. Solve u(j) = 0 for j.
-12, -1, 0, 11/7
Let w(g) be the second derivative of 4*g**7/189 - 98*g**6/135 + 26*g**5/3 - 1103*g**4/27 + 2120*g**3/27 - 200*g**2/3 + 55*g - 2. Determine x so that w(x) = 0.
1/2, 1, 3, 10
Factor -3142*j + 186*j - 443*j**2 - 377*j**2 - 1272 + 878*j**3 - 870*j**3.
4*(j - 106)*(j + 3)*(2*j + 1)
Let f be (-32)/56 - 2427/(-21). Let i = 231/2 - f. Find d, given that -d + 1/2*d**2 + i = 0.
1
Let c(x) be the third derivative of 29*x**2 + 1/18*x**4 + 1/126*x**7 - 13/360*x**6 + 0*x**3 - 3*x + 0 + 1/45*x**5. Factor c(o).
o*(o - 2)*(o - 1)*(5*o + 2)/3
Suppose 0 = 3*s + 3*a - 27, -5*a + 25 = -0*a. Determine t so that -667*t**3 + 8*t**2 + 665*t**3 + s*t**2 = 0.
0, 6
Let d(j) be the second derivative of 10/3*j**4 + 1/4*j**5 - 125*j**2 + 1 - 19*j + 25/6*j**3. Find g such that d(g) = 0.
-5, 2
Find p such that -4/3*p**2 + 7/3*p - 1/3*p**3 + 10/3 = 0.
-5, -1, 2
Let c = -50631 + 9113537/180. Let z = c - -22/45. Find o, given that 9/4*o + 0 - z*o**4 - 5/4*o**3 - 3/4*o**2 = 0.
-3, 0, 1
Let a(s) be the first derivative of 0*s**2 + 0*s + 1/6*s**6 + 3/5*s**5 - s**4 + 142 - 4*s**3. Find y, given that a(y) = 0.
-3, -2, 0, 2
Let w(o) be the third derivative of -o**6/480 + 13*o**5/120 + 55*o**4/96 + 7*o**3/6 - 2353*o**2 - 2*o. Factor w(p).
-(p - 28)*(p + 1)**2/4
Let j(v) = -2*v**3 + 8*v**2 + 12*v - 6. Let s be j(5). Solve -2437 + s*d**2 - 2069 + 21406 + 520*d = 0 for d.
-65
What is i in 4530*i - 3711*i + 334*i**2 + 86*i**2 - 1242 + 3*i**3 = 0?
-138, -3, 1
Let b(r) be the third derivative of 54*r**3 - 2*r**2 + 1/60*r**5 + 0*r - 3/2*r**4 + 3. Solve b(p) = 0.
18
Let i(y) = y**3 + 18*y**2 + 18*y + 7. Let s be i(-17). Let z(t) = t**2 - t - 2. Let w(l) = 5*l**3 + 20*l**2 + 50*l + 20. Let q(n) = s*z(n) - w(n). Factor q(j).
-5*j*(j + 2)*(j + 4)
Suppose l + 6*l - 42 = -7*l. Let x(v) be the third derivative of 0*v + 1/18*v**4 + 1/10*v**6 + 0*v**l + 0 - 2/15*v**5 + 12*v**2. Factor x(b).
4*b*(3*b - 1)**2/3
Let 0*d + 0 - 2/9*d**3 + 2/9*d**2 = 0. What is d?
0, 1
Let z be (-484)/(-186) - ((-11109)/651 + 17). Suppose -5*g = -2*g - 9. Factor 0 + z*r**2 + 4/3*r + 1/3*r**4 + 5/3*r**g.
r*(r + 1)*(r + 2)**2/3
Factor 1/2 - 3/4*m + 0*m**2 + 1/4*m**3.
(m - 1)**2*(m + 2)/4
Suppose 5*b - 153 = 3*v, -2*v - b - 102 = b. Let h = v - -53. Find m, given that 22*m**2 - 2*m**h - 14*m + 12*m - 4*m**3 - 14*m = 0.
0, 1, 4
Let j(w) be the third derivative of 27*w**8/140 + 41*w**7/50 + 16*w**6/15 - w**5/50 - 9*w**4/10 + w**3/30 + 129*w**2 + 2. What is c in j(c) = 0?
-1, 1/108, 1/3
Let z = 21 - 16. Determine i so that 4*i**z - 204*i**3 + 192*i**3 + 8*i**2 + 0*i**2 = 0.
-2, 0, 1
Factor -3*k**5 - 7*k**5 + 27*k**4 - 9*k**3 + 4*k**5 - 234*k**2 - 9*k**5 + 231*k**2.
-3*k**2*(k - 1)**2*(5*k + 1)
Let p = -2549/5 + 7672/15. Determine y so that -2/3 + 3*y + 7/3*y**4 - 3*y**3 - p*y**2 = 0.
-1, 2/7, 1
Suppose 39*v = 8151 + 13611. Let o be 217/v + (-4)/18. Factor o*a**2 - 5/3*a + 25/6.
(a - 5)**2/6
Let t(q) be the second derivative of q**5/330 - q**4/11 - 13*q**3/33 - 3*q**2 - 11*q. Let f(d) be the first derivative of t(d). Factor f(l).
2*(l - 13)*(l + 1)/11
Let p(s) be the second derivative of s**4/3 - 1156*s**3/3 - 2320*s**2 + 532*s + 4. Factor p(j).
4*(j - 580)*(j + 2)
Let i(y) be the third derivative of -y**6/300 + 162*y**5/25 - 26244*y**4/5 + 11337408*y**3/5 - 11*y**2 - 18*y. Solve i(d) = 0.
324
Let a(w) = -3*w**2 + 66*w - 61. Let s be a(21). Factor -244 + 5*o**s + 542