0. Calculate c.
-20, 1
Let o be (-4)/(-22) - (-10 + (-672)/(-66)). Let h(l) be the first derivative of 2/27*l**3 + 0*l - 7 + o*l**2. Factor h(d).
2*d**2/9
Let r be -6*((-12)/(-20))/(-3). Solve -4 + r*s + 2/5*s**2 = 0 for s.
-5, 2
Let w = 1681/987 - 12/329. Suppose 0 + w*s - 1/3*s**2 = 0. What is s?
0, 5
Let q(w) be the second derivative of -w**4/4 - 26*w**3 + 159*w**2/2 - 799*w. Factor q(o).
-3*(o - 1)*(o + 53)
Let l(i) be the third derivative of i**5/20 + 5*i**4/8 - 3*i**3 + 23*i**2 + 1. What is s in l(s) = 0?
-6, 1
Let u be (25/4 - 4/16) + -2. Let b(g) be the third derivative of -2/3*g**3 + 0 + 0*g**u + 1/20*g**5 + 1/120*g**6 + 0*g - 5*g**2. What is a in b(a) = 0?
-2, 1
Let h(n) = -40*n**3 + 560*n**2 - 15*n - 560. Let d(j) = -3*j**3 + 40*j**2 - j - 40. Let v(k) = 55*d(k) - 4*h(k). Factor v(c).
-5*(c - 1)*(c + 1)*(c + 8)
Let y(v) be the first derivative of -v**4/4 + 8*v**3/3 - 13*v**2/2 + 6*v + 28. Suppose y(s) = 0. Calculate s.
1, 6
Let q(p) be the second derivative of -5/2*p**3 + 39/20*p**5 - 3/4*p**4 + p**6 - 8*p + 3/2*p**2 + 0. Solve q(i) = 0.
-1, 1/5, 1/2
Let g(r) be the second derivative of r**4/16 - r**3/4 + 48*r. Suppose g(p) = 0. What is p?
0, 2
Suppose 0 = 122*x - 152*x + 90. Let 7/3*f**x - 4/3*f + f**5 - 10/3*f**4 + 0 + 4/3*f**2 = 0. What is f?
-2/3, 0, 1, 2
Let g(o) = -3*o**3 + 5*o**2 - 5. Let m be g(-3). Find c, given that 446*c**5 + 16*c + 4*c + 100*c**2 - 421*c**5 + 110*c**4 + 44*c**3 + m*c**3 = 0.
-2, -1, -2/5, 0
Let k(g) be the third derivative of g**5/80 - 37*g**4/8 + 1369*g**3/2 + 61*g**2. Suppose k(t) = 0. Calculate t.
74
Let w(z) be the second derivative of -z**7/14 + 7*z**6 - 864*z**5/5 - 648*z**4 + 15*z + 6. Let w(l) = 0. What is l?
-2, 0, 36
Let t(a) be the third derivative of a**7/210 + a**6/40 - a**5/12 + a**3/6 - 3*a**2. Let x(i) = -i**3 + i**2. Let l(g) = -t(g) - 3*x(g). Factor l(n).
-(n - 1)**2*(n + 1)**2
Let a(h) be the first derivative of -3*h**5 - 35*h**4/4 - 5*h**3 + 15*h**2/2 + 10*h - 4. Solve a(i) = 0 for i.
-1, 2/3
Let b(h) = 105*h**2 + 17910*h + 1255785. Let t(p) = -8*p**2 - 1378*p - 96599. Let u(y) = 3*b(y) + 40*t(y). Factor u(q).
-5*(q + 139)**2
Let i = -548 + 3289/6. Let y(r) be the second derivative of 11*r + 0 + 1/2*r**2 - 1/6*r**4 + i*r**3. Factor y(j).
-(j - 1)*(2*j + 1)
Let r(a) = -a**2 + 4*a. Let y be r(3). Let t be -42*(-2)/y*1. Determine u, given that 40*u + 5*u**3 + t*u**2 + 16 + 4*u**3 - 3*u**3 = 0.
-2, -2/3
Let w be (-58)/(-87) + (-7)/(-3). Solve -163*k**3 - 14*k**2 + 14*k**4 - 8*k + 4*k + 167*k**w = 0 for k.
-1, -2/7, 0, 1
Let r(f) be the second derivative of f**6/1080 + f**5/180 + 3*f**3/2 - 2*f. Let x(n) be the second derivative of r(n). Factor x(i).
i*(i + 2)/3
Let m(c) be the third derivative of -c**7/12600 - c**6/600 - c**5/120 - 31*c**4/24 - 19*c**2. Let g(h) be the second derivative of m(h). Factor g(l).
-(l + 1)*(l + 5)/5
Let h(s) be the third derivative of 0 + 0*s - 1/30*s**6 + 0*s**3 - 1/10*s**5 + 1/6*s**4 - 6*s**2. Solve h(n) = 0.
-2, 0, 1/2
Let l be (60 - 48)/(1 - -19). Factor -l*p**2 - 24/5*p - 48/5.
-3*(p + 4)**2/5
Let p(o) be the second derivative of -2*o**6/75 - 16*o**5/25 - 32*o**4/5 - 512*o**3/15 - 512*o**2/5 - 3*o + 2. Find f, given that p(f) = 0.
-4
Let s(g) be the first derivative of -g**3/8 + 29*g**2/8 - 19*g/8 + 183. Suppose s(h) = 0. Calculate h.
1/3, 19
Let f be (-150)/(-90)*(4 - (-154)/(-40)). Determine k so that -f + 1/4*k**4 + 1/2*k - 1/2*k**3 + 0*k**2 = 0.
-1, 1
Let p = -32 - -32. Let i(a) be the third derivative of -1/90*a**6 + 3*a**2 - 2/9*a**3 + p*a - 1/36*a**4 + 0 + 1/18*a**5. Find u, given that i(u) = 0.
-1/2, 1, 2
Let x(n) = -n - 15. Let s be x(-18). Factor p**3 - 1 - s*p**2 + 9 - 9 + 3*p.
(p - 1)**3
Determine o, given that 21/2*o**2 - 12*o**3 + 0*o + 0 = 0.
0, 7/8
Let j(w) be the third derivative of 6*w**2 - 1/8*w**4 + w**3 + 0 - 1/20*w**5 + 0*w. Find o, given that j(o) = 0.
-2, 1
Let j(n) be the second derivative of -n**6/480 + n**5/40 - n**4/8 + n**3/6 - 6*n. Let p(z) be the second derivative of j(z). Factor p(m).
-3*(m - 2)**2/4
Let i = 3 + -3. Let b = -8151 - -8152. Factor -1/4*x**3 + 3/4*x**2 + i*x - b.
-(x - 2)**2*(x + 1)/4
Let y be (-1)/3*(-10)/50. Let b(d) be the first derivative of -2/3*d**2 - 8/9*d**3 - 5/12*d**4 + 0*d - 1 - y*d**5. Determine s, given that b(s) = 0.
-2, -1, 0
Let g = -386/3 - -134. Determine m, given that -244/3*m**2 - 14*m**3 - 40*m + 98/3*m**4 - g = 0.
-1, -2/7, 2
Factor -5 + g**5 - 7*g**3 + 3*g**4 + 40*g**2 + 5 - 55*g**2 + 18*g.
g*(g - 2)*(g - 1)*(g + 3)**2
Let k = 701/2 + -350. Solve 1/2 + k*w**2 + w = 0 for w.
-1
Let q(d) be the second derivative of d**7/1050 - d**5/100 + d**4/60 - 9*d**2/2 + 32*d. Let f(c) be the first derivative of q(c). Factor f(j).
j*(j - 1)**2*(j + 2)/5
Let b(x) be the third derivative of x**7/504 + x**6/144 + 7*x**4/24 - 6*x**2. Let j(o) be the second derivative of b(o). Factor j(p).
5*p*(p + 1)
Let s = 15/88 - -2741/440. Suppose 42*a**2 - 98/5*a**3 - 144/5*a + s = 0. Calculate a.
4/7, 1
Solve 38 - 260 - 1227*p - 1032*p**2 + 136*p**3 - 163*p**3 = 0 for p.
-37, -1, -2/9
Find d, given that 16*d**2 + 11*d**2 + 98*d + 1540 - 42*d**2 + 861 + 16*d**2 = 0.
-49
Let a(o) = o + 18. Let c = 15 + -26. Let k be a(c). Factor 10*j - 35*j**2 - j**3 + k*j**5 - 2*j**5 - 25*j**4 + 46*j**3.
5*j*(j - 2)*(j - 1)**3
Factor -1/5*f**3 - 3*f + 5 - 9/5*f**2.
-(f - 1)*(f + 5)**2/5
Let g(q) be the second derivative of q**6/40 + q**5/20 - 7*q**4/24 + q**3/6 + 3*q**2/8 + 66*q. Determine h so that g(h) = 0.
-3, -1/3, 1
Let f be -1 + -1 - (9 - 14). Suppose 2*l = l + f*v, 0 = -l - 2*v. Factor 0 + 2/3*t**4 + 2/3*t**5 + 0*t**2 - 4/3*t**3 + l*t.
2*t**3*(t - 1)*(t + 2)/3
Suppose 0 = v - 4, -x - 21*v + 26*v - 16 = 0. Factor 0*t + 0 - 9/8*t**2 + 15/8*t**3 - 3/8*t**5 - 3/8*t**x.
-3*t**2*(t - 1)**2*(t + 3)/8
Let a(x) = -x - 4. Let d be a(-7). Suppose -3*g + 2*k + 2 = 0, 0 = -5*g - k - 2 + 14. Solve -12*n - 3/4*n**d + 0 + 6*n**g = 0.
0, 4
Suppose 3*z - 2*z = -5*k + 27, 10 = 2*k. Let j = 65 + -61. Suppose -j*y**3 + 2*y**4 + 6*y**2 + 4*y**z - 12*y**2 - 4*y**4 = 0. What is y?
-1, 0
Let q(j) be the second derivative of 1/16*j**5 - 4*j + 1/8*j**6 + 0*j**2 + 0 + 5/168*j**7 - 5/12*j**3 - 5/16*j**4. Let q(o) = 0. What is o?
-2, -1, 0, 1
Let l(g) be the third derivative of -g**6/160 - 13*g**5/80 - 3*g**4/2 - 9*g**3/2 - 20*g**2 + g. Factor l(i).
-3*(i + 1)*(i + 6)**2/4
Let q = 320 - 65. Let p be q/75 - 3/(-5). What is n in 0*n**3 - n**3 - 13*n**p + 3*n**2 - 3*n + 4*n**3 + 10*n**4 = 0?
-1, 0, 1
Suppose -360*d = -359*d. Let o(l) be the second derivative of -1/63*l**7 + 0*l**3 + 1/30*l**5 + 0*l**2 + d - 1/45*l**6 - 9*l + 1/18*l**4. Factor o(t).
-2*t**2*(t - 1)*(t + 1)**2/3
Find y, given that -444/5*y - 6/5*y**2 - 8214/5 = 0.
-37
Let a(i) = -i**5 + i**4 - i + 1. Let f(c) = -13*c**3 + 2 - 6*c - 3*c**5 + 5*c**2 + 0*c**5 + 7*c**2 + 8*c**4. Let q(w) = -2*a(w) + f(w). Factor q(k).
-k*(k - 2)**2*(k - 1)**2
Find j, given that 2*j**3 - 4/7*j + 33/7*j**2 - 44/7 + 1/7*j**4 = 0.
-11, -2, 1
Let x(o) = -o**3 + 20*o**2 + 100*o - 93. Let f be x(24). Suppose 0 - 8/9*m**4 - 4/3*m**f - 2/9*m - 2/9*m**5 - 8/9*m**2 = 0. Calculate m.
-1, 0
Let m be 13 + 0 - (32 - 23). Let r(v) be the second derivative of -11*v + 0 + v**2 + 1/2*v**3 + 1/12*v**m. Solve r(u) = 0 for u.
-2, -1
Suppose 2*n - 4 = i, 30 - 40 = -4*i - 5*n. Determine q, given that -1/2*q**2 + 1/2*q**4 - 3/4*q**5 + q**3 + i - 1/4*q = 0.
-1, -1/3, 0, 1
Let g(z) = -5*z**3 + 3*z**2 - 10*z - 18. Let i(o) = -4*o**3 + 2*o**2 - 9*o - 15. Let c(r) = -5*g(r) + 6*i(r). Solve c(k) = 0 for k.
-1, 0, 4
Let i be 1484/1470 + 6/45. Factor 2/7*z - i*z**2 + 0.
-2*z*(4*z - 1)/7
Let b(m) = 291*m + 2. Let r be b(0). Factor 8/9*u - 2/3*u**r - 2/9.
-2*(u - 1)*(3*u - 1)/9
Let l(y) = y + 31. Let v be l(-20). Factor 2*j**4 + 5*j - 6*j**2 - 4*j**3 - 3 - j + v + 4*j.
2*(j - 2)**2*(j + 1)**2
Let l(h) be the third derivative of -h**7/280 - h**6/60 - h**5/40 + 7*h**3/6 + 8*h**2. Let w(b) be the first derivative of l(b). Factor w(r).
-3*r*(r + 1)**2
Let j = 203/3660 + -1/183. Let i(c) be the third derivative of 0*c + j*c**5 + 0 + 1/4*c**4 + 0*c**3 - 4*c**2. Factor i(x).
3*x*(x + 2)
Let v = 16 + -93. Let t = v + 387/5. Factor 2/5 + t*c**2 + 4/5*c.
2*(c + 1)**2/5
Let m(d) be the first derivative of -2*d**3/3 + 4*d**2 - 4*d + 3. Let z be m(3). Let -z*