 0. Calculate v.
3, 4
Suppose 2*f = y + 6, y + 15 = 5*f - y. Suppose 0*q**2 + 9*q + 3*q**3 + 13*q**4 - q**2 - 2 - 10*q**2 - 6*q**5 - 6*q**f = 0. What is q?
-1, 1/2, 2/3, 1
Let m(q) be the first derivative of -q**5/190 + 5*q**4/228 + 9*q**2 + 32. Let t(o) be the second derivative of m(o). Suppose t(l) = 0. What is l?
0, 5/3
Let h(l) = 6*l**2 - 1911*l - 59514. Let n(v) = v**2 - 382*v - 11903. Let x(f) = 4*h(f) - 21*n(f). Factor x(c).
3*(c + 63)**2
Factor -2218*i - 852 + 82*i - 8*i**2 - 7*i**2.
-3*(i + 142)*(5*i + 2)
Let v be (-3 + 2)*(35/(-5) - -2). Let g(o) be the third derivative of 0*o - 1/150*o**v - 5*o**2 + 0*o**4 + 1/15*o**3 + 0. Find c such that g(c) = 0.
-1, 1
Factor 36*v**3 - 48*v**3 + 4*v**4 - v**4.
3*v**3*(v - 4)
Let o be (-4794)/(-30) - 2/(-10). Suppose 4*r + o - 440 = 0. Factor -64*n - 27*n**2 + 2 - 17*n - r - 3*n**3 - 13.
-3*(n + 3)**3
Suppose 18*i - 39*i = -30 - 33. Solve -2/13*f**5 + 10/13*f**4 - 10/13*f + 2/13 + 20/13*f**2 - 20/13*f**i = 0 for f.
1
Let o(j) = -8*j - 1 - j + 10*j. Let s be o(2). Solve -4 + 7*v + 2 + s + 4 + 2*v**2 = 0.
-3, -1/2
Let b(j) = -j**3 + 16*j**2 + j + 3. Let a be b(16). Determine h so that h**2 + 8 - a + 12 + 2*h = 0.
-1
Factor 24*f - 23 + 4*f**2 + 20 - 7*f**2 - 33.
-3*(f - 6)*(f - 2)
Factor -5*t**4 + 90*t**3 + 71*t**3 - 212*t**3 - 15*t**2 + 20 - 20*t + 71*t**3.
-5*(t - 2)**2*(t - 1)*(t + 1)
Suppose -52*h = -51*h + 12. Let g be 1/3*(-108)/h. Factor 3/2*q**g + 3/2*q**2 + 0*q + 0.
3*q**2*(q + 1)/2
Let x(w) = -3*w**2 - w + 1. Let a(k) = -3*k**3 + 12*k**2 + 7*k - 4. Let r(q) = -a(q) - 4*x(q). What is n in r(n) = 0?
-1, 0, 1
Let i(w) = 117*w + 4451. Let l be i(-38). Factor -l*v**3 + 0*v**4 - 5/2*v**2 + 5/2 + 5/4*v**5 + 15/4*v.
5*(v - 2)*(v - 1)*(v + 1)**3/4
Let c = 6541456970/5901 + -3325600/3. Let t = c - 4/281. Let t*n + 0 + 2/7*n**3 - 4/7*n**2 = 0. Calculate n.
0, 1
Let v be (-16)/(-36)*1*(-462)/(-44). Determine n, given that -4/3*n**3 + v*n**4 + 0 + 0*n + 0*n**2 = 0.
0, 2/7
Let g(k) = k**2 - 6*k + 5. Let o be ((-18)/21)/((-1)/7). Let t be g(o). Factor 11*r**3 - 2*r - r - t*r**2 - 4*r**2 + r**3.
3*r*(r - 1)*(4*r + 1)
Let b(c) be the third derivative of c**7/210 - c**6/45 + c**5/30 - c**3/3 + 13*c**2. Let h(p) be the first derivative of b(p). Suppose h(o) = 0. Calculate o.
0, 1
Suppose -3*w + 32*w - 717 + 659 = 0. Factor 5/4*h**4 + 1/4*h**3 - 1/4*h + 0 - 5/4*h**w.
h*(h - 1)*(h + 1)*(5*h + 1)/4
Let g(b) be the third derivative of 0*b - 1/50*b**5 - 1/175*b**7 + 0 + 1/40*b**6 + 36*b**2 + 0*b**4 + 0*b**3. Factor g(q).
-3*q**2*(q - 2)*(2*q - 1)/5
Let m(x) be the first derivative of -1/6*x**4 - x**3 + 7*x - 2*x**2 - 7. Let w(o) be the first derivative of m(o). Factor w(u).
-2*(u + 1)*(u + 2)
Let p = -15836/3 + 5280. Factor -p*d - 8/3*d**2 + 0 - 4/3*d**3.
-4*d*(d + 1)**2/3
Let s = -9/1546 + 30947/4638. Suppose -74/3*b - 14/3*b**2 - s = 0. Calculate b.
-5, -2/7
Let s be 114/(-2) + 9/(-3). Let c be (69/s)/((-3)/36). Factor 264/5*y**2 + 6/5 - 336/5*y**3 - c*y.
-3*(4*y - 1)**2*(7*y - 2)/5
Let -15*z**3 - 5*z**2 + 10*z + 4*z**4 + 0*z**4 + 5*z**5 + z**4 = 0. What is z?
-2, -1, 0, 1
Let z(s) be the second derivative of s**7/168 + 2*s**6/15 + 21*s**5/40 + 5*s**4/6 + 13*s**3/24 + 570*s. Solve z(h) = 0.
-13, -1, 0
Let m = -8 - -4. Let u(d) = 12*d**2 + 10*d - 5. Let k(g) = -11*g**2 - 9*g + 4. Let y(b) = m*u(b) - 6*k(b). Solve y(a) = 0.
-1, 2/9
Factor 19/2*r**2 + 1/6*r**3 - 1/6*r**4 - 145/6*r - 100/3.
-(r - 5)**2*(r + 1)*(r + 8)/6
Let l be (-306)/34 - 153/(-15). What is j in -21/5*j**3 + 9/5*j + 36/5*j**2 - 18/5*j**4 - l = 0?
-2, -1/2, 1/3, 1
Let r(i) = 25*i + 127. Let f be r(-5). Factor 4/5*n - 1/5*n**f - 1/5*n**3 + 4/5.
-(n - 2)*(n + 1)*(n + 2)/5
Let m be 7*1 - (-3 + 6). Determine j so that 12*j**2 - 371*j + 379*j + 3*j**4 - 7*j**m = 0.
-1, 0, 2
Factor 2*q**2 + 5*q**2 - 373*q**3 - 2*q**4 + q**4 + 368*q**3 + 5*q - 6*q**2.
-q*(q - 1)*(q + 1)*(q + 5)
Let q(f) = -f**3 - 6*f**2 - 6*f + 4. Let n be q(-2). Let g(s) be the first derivative of 0*s + 0*s**2 - 1/8*s**4 - 2 + 1/10*s**5 + n*s**3. Factor g(u).
u**3*(u - 1)/2
Let w be 14*(4 - 2*65/35). Let q(j) be the second derivative of 0 - 4/3*j**w - 11*j + 0*j**2 + 1/3*j**3 + 8/5*j**5. Factor q(n).
2*n*(4*n - 1)**2
Let a(s) be the third derivative of -s**6/420 + s**5/30 + 2*s**4/21 - 131*s**2 - s. Factor a(u).
-2*u*(u - 8)*(u + 1)/7
Let r be (-4 - (-36)/8)*10. Factor 7*z**3 + 4*z**4 - 4*z**3 + r*z**3 - 8*z + 1 - 5.
4*(z - 1)*(z + 1)**3
Let l(x) be the second derivative of 1/12*x**4 + 0 - 1/60*x**6 - 9/2*x**2 + 1/3*x**3 - 3*x - 1/30*x**5. Let f(b) be the first derivative of l(b). Factor f(y).
-2*(y - 1)*(y + 1)**2
Factor 6*v**3 + 0 + 0*v**2 - 3/5*v**5 + 0*v + 9/5*v**4.
-3*v**3*(v - 5)*(v + 2)/5
Solve -22*d - 4*d**2 - 121/4 = 0 for d.
-11/4
Let u(j) be the third derivative of -j**5/60 + 37*j**4/18 + 50*j**3/9 + 362*j**2. Factor u(p).
-(p - 50)*(3*p + 2)/3
Let u = 211 + 271. Suppose -5*m**5 - u*m + 482*m = 0. What is m?
0
Let k(t) be the second derivative of -50*t**7/21 - 4*t**6 + 211*t**5/5 - 248*t**4/3 + 72*t**3 - 32*t**2 + 7*t + 1. Solve k(y) = 0 for y.
-4, 2/5, 1
Let w(g) be the first derivative of 10*g**2 - 5*g**4 + 4 + 5*g + 10/3*g**3 - 3*g**5. Determine m so that w(m) = 0.
-1, -1/3, 1
Let c be 28 + -33 - 168/(-32). Factor 1/2 + 1/4*d - c*d**2.
-(d - 2)*(d + 1)/4
Suppose k - 91 = -4*q, 0 = -k + 2 - 3. Suppose 3*b + 3*t = 3, 21*t - q = -5*b + 22*t. Factor 3/2*p**3 - 3/2*p**5 - 3/2*p**b + 0*p + 0 + 3/2*p**2.
-3*p**2*(p - 1)*(p + 1)**2/2
Let f = 20838 + -83349/4. Find j such that -1/2*j - 1/4*j**2 + f = 0.
-3, 1
Factor 32/9*p**2 + 0 + 0*p - 4/9*p**3.
-4*p**2*(p - 8)/9
Let u(f) be the second derivative of -f**5/30 - 5*f**4/9 + 11*f**3/9 + 381*f. Let u(m) = 0. Calculate m.
-11, 0, 1
Let t = 319/1030 + -1/103. Let v(z) be the first derivative of 0*z + t*z**5 - z**4 + 5 - 1/2*z**2 + 7/6*z**3. Factor v(j).
j*(j - 1)**2*(3*j - 2)/2
Factor -5/7*t**2 + 0 - 1/7*t - 4/7*t**4 - 8/7*t**3.
-t*(t + 1)*(2*t + 1)**2/7
Let m(s) = -2*s**2 + 16*s - 8. Let b be m(7). Factor 4*r + 12*r**3 - 25*r - 23*r**2 + b + 8*r**2.
3*(r - 2)*(r + 1)*(4*r - 1)
Let n be 8/(-18)*(-69)/184. Let h = 1/3 + n. Factor h*z + 1/2*z**2 + 0.
z*(z + 1)/2
Let f = 33 - 28. Factor f*d**2 + 7*d - 15*d**3 + 8*d**4 - 6 - 4 + 8*d - 3*d**4.
5*(d - 2)*(d - 1)**2*(d + 1)
Let z = 285 + -283. Let a(r) be the first derivative of -3*r**z - 2/3*r**3 - 4*r - 4. Suppose a(t) = 0. What is t?
-2, -1
Let w(z) = -2*z**2 + 27*z - 42. Let a(p) = -p**2 - 22 + 12*p - 19 + 20*p - 6*p. Let u(m) = -3*a(m) + 4*w(m). Factor u(l).
-5*(l - 3)**2
Find s such that -18 + 18 + 52*s**2 - 50*s**2 + 72*s = 0.
-36, 0
Let i(t) be the second derivative of t**5/110 + t**4/33 + 9*t - 17. What is z in i(z) = 0?
-2, 0
Let y = -172/123 + 467/246. Factor -6 - 1/2*q**3 + y*q**2 + 4*q.
-(q - 2)**2*(q + 3)/2
Let x(k) be the second derivative of 0*k**2 + 5*k + 0 + 1/21*k**3 + 9/70*k**5 + 1/7*k**4. Factor x(b).
2*b*(3*b + 1)**2/7
Suppose 56*c**2 + 196 + 8*c**2 + 17*c**2 + 252*c = 0. Calculate c.
-14/9
Let s(g) be the first derivative of -55 + 8/3*g**3 - 1/2*g**6 - 2*g**5 + 2*g - 3/2*g**4 + 9/2*g**2. Find v, given that s(v) = 0.
-2, -1, -1/3, 1
Factor -2/3*l**4 + 4/3*l**2 + 0 - 2/3*l**3 + 0*l.
-2*l**2*(l - 1)*(l + 2)/3
Let r(g) be the second derivative of -g**5/120 + g**4/24 + 2*g. Let r(n) = 0. What is n?
0, 3
Let y(o) = 34*o**3 - 66*o**2 + 141*o + 16. Let q(f) = -39*f**3 + 65*f**2 - 142*f - 16. Let p(a) = -5*q(a) - 6*y(a). Suppose p(z) = 0. Calculate z.
-1/9, 4
Let n(d) be the first derivative of 3*d**5/5 + 15*d**4/4 + 9*d**3 + 21*d**2/2 + 6*d - 28. Solve n(x) = 0.
-2, -1
Let p(v) be the first derivative of v**4/30 - 4*v**2/5 - 34*v - 4. Let d(r) be the first derivative of p(r). Factor d(n).
2*(n - 2)*(n + 2)/5
Let f(o) = -14*o**3 + 22*o**2 + 28*o + 8. Let u(p) = 5*p**3 - 8*p**2 - 10*p - 3. Let c(t) = -3*f(t) - 8*u(t). Factor c(w).
2*w*(w - 2)*(w + 1)
Let q = 75 - 51. Determine a, given that 12 + 33*a**3 - 72*a**3 + 36*a**3 + 15*a**2 - q*a = 0.
1, 2
Find i, given that 1/2*i**2 - 1/2*i - 3 = 0.
-2, 3
Suppose 7 = -5*y + 32. Find c such that -3*c - 15*c**2 - 8*c + 21*c + y*c**3 = 0.
0, 1, 2
Let r(v) be the third derivative of 0*v**6 - 2*v**2 + 21*v + 1/10*v**5 - 1/35*v**7 + 0 + 0*v**3 + 1/112*v**8 - 1/8*v**4. Factor r(w).
3*w*(w - 1)**3*(w + 1)
Let k = 16369/4 + -4091. Factor 1/4*