24 + 2*c**2. Let p(j) be the second derivative of v(j). Suppose p(x) = 0. Calculate x.
0
Factor 7*x**3 + 4 - 4 - 6*x**4 - x**3 - 2*x**2 + 2*x**5.
2*x**2*(x - 1)**3
Let d = 1 - -14. Factor -1 - 8*y**2 + 1 + 2*y**2 + d*y**5 - 36*y**4 + 27*y**3.
3*y**2*(y - 1)**2*(5*y - 2)
Let y(l) be the second derivative of l**9/10080 - l**7/840 + l**5/80 - 3*l**4/4 + 3*l. Let a(z) be the third derivative of y(z). Let a(s) = 0. Calculate s.
-1, 1
Let i(n) = n - 10. Let w be i(0). Let s = 13 + w. Suppose -14/5*c**4 - 2*c**5 + 6/5*c**s + 0 + 14/5*c**2 + 4/5*c = 0. What is c?
-1, -2/5, 0, 1
Let z be ((-1)/4)/((-4)/32). Let u(f) be the second derivative of 0 + 0*f**z + 0*f**4 + 0*f**6 + 0*f**3 + 1/189*f**7 - f - 1/90*f**5. Factor u(i).
2*i**3*(i - 1)*(i + 1)/9
Let c(a) be the second derivative of -3*a**5/40 + a**4/8 + 5*a**3/4 + 9*a**2/4 + 22*a. Factor c(z).
-3*(z - 3)*(z + 1)**2/2
Let g(h) = -6 + 0*h + 4 + 6 + 2*h**2 - 3*h. Let k(q) = -q**2 + 2*q - 4. Let d(s) = -2*g(s) - 3*k(s). Suppose d(t) = 0. What is t?
-2, 2
Let o = 5 + 0. Suppose -j**2 - 7*j**3 - 12*j**4 + 18*j**2 - 9*j**o + 4 + 16*j - 9*j**4 = 0. What is j?
-1, -2/3, 1
Let v be 8/36 - 34/(-9). Determine k so that -k**4 - 8*k**2 + 0*k**v - 3*k**4 + 2*k**4 + 8*k**3 = 0.
0, 2
Let v = -16 - -23. Suppose v = 4*c + 4*z - 21, -5*c = 3*z - 31. Factor 2*p**3 - 4 - 4*p**4 - 6*p**c + 4.
-2*p**3*(p + 1)*(3*p - 1)
Suppose -3*y + 0 = -3. Let o(b) = 0 + y + 0 + b**2 + b**3. Let w(q) = 6*q**3 + 6*q**2 + 5. Let s(n) = 5*o(n) - w(n). Let s(l) = 0. Calculate l.
-1, 0
Let b(i) = i**3 + i - 1. Let j(x) = 26*x**3 - 30*x**2 - 35*x - 9. Let w(g) = -b(g) + j(g). Find n, given that w(n) = 0.
-2/5, 2
Let r(k) = -3*k**4 - 3*k**3 + 9*k**2 + 6*k - 6. Let z(l) = -3*l**4 - 4*l**3 + 10*l**2 + 6*l - 7. Let t(i) = 2*r(i) - 3*z(i). Factor t(n).
3*(n - 1)**2*(n + 1)*(n + 3)
Let v(s) be the first derivative of 0*s - 2/9*s**2 + 2/27*s**3 + 1/9*s**4 + 9 - 2/45*s**5. Find d such that v(d) = 0.
-1, 0, 1, 2
Let c(x) be the second derivative of -1/60*x**5 + 0*x**4 + 1/18*x**3 - 4*x + 0 + 0*x**2. Factor c(q).
-q*(q - 1)*(q + 1)/3
Factor 5 - 4*c**2 - 56 + 28*c + 27.
-4*(c - 6)*(c - 1)
Let s(n) be the third derivative of n**5/450 - n**4/180 - 2*n**3/45 + 7*n**2. Find j, given that s(j) = 0.
-1, 2
Let z(l) be the second derivative of -1/20*l**6 + 1/12*l**4 - 3*l + 11/80*l**5 + 0 - 1/6*l**3 - 3/56*l**7 + 0*l**2. Factor z(s).
-s*(s + 1)**2*(3*s - 2)**2/4
Let y(t) be the third derivative of t**2 + 0 + 18*t**3 + 3/5*t**5 + 9/2*t**4 + 1/30*t**6 + 0*t. Suppose y(z) = 0. Calculate z.
-3
Let l(z) = z - 1. Let u be l(3). What is j in -5*j**3 + 2*j**2 - 4*j**2 + 3*j**3 + 2*j + u = 0?
-1, 1
Let i(t) be the third derivative of -t**2 + 0*t**3 + 0*t - 1/560*t**8 + 0 - 3/200*t**6 - 3/350*t**7 - 1/100*t**5 + 0*t**4. Factor i(j).
-3*j**2*(j + 1)**3/5
Let o(r) = 19*r - 2. Let x be o(2). Determine h, given that 27*h**3 + x*h**4 - h**5 + 16*h**5 - 2 + 2 + 6*h**2 = 0.
-1, -2/5, 0
Let b(t) be the third derivative of -t**8/3360 + t**6/400 - t**5/300 + 16*t**2. Factor b(c).
-c**2*(c - 1)**2*(c + 2)/10
Suppose -5*f + 3*w + 52 = 0, f + 5*w = -6 - 6. Find h, given that -2 + 4*h**4 - 6*h**4 + f*h**2 - 4*h**2 = 0.
-1, 1
Factor -4/3*b + 4*b**2 - 4 + 4/3*b**3.
4*(b - 1)*(b + 1)*(b + 3)/3
Let k(l) be the second derivative of -5/2*l**2 + 0*l**3 + 3/20*l**5 + 0 + 1/6*l**4 - l. Let p(a) = -2*a**3 - a**2 + 3. Let b(q) = -3*k(q) - 5*p(q). Factor b(c).
c**2*(c - 1)
Let a(r) be the first derivative of 3 + 0*r**2 + 0*r**3 - 2*r - 2/15*r**5 + 1/45*r**6 + 2/9*r**4. Let u(h) be the first derivative of a(h). Factor u(d).
2*d**2*(d - 2)**2/3
Let r be (-235)/25 + 4/10. Let y be -1 + r/6*-1. Determine d, given that y*d + 1/2*d**2 + 0 = 0.
-1, 0
Let g(i) = i - 6. Let u be g(6). Suppose 0*q + 3*q = u. Factor q*c + 2/7*c**4 + 0*c**3 - 4/7*c**2 + 2/7.
2*(c - 1)**2*(c + 1)**2/7
Let y(x) be the second derivative of -x**6/270 + x**5/60 - 2*x**3/27 + 6*x. Factor y(u).
-u*(u - 2)**2*(u + 1)/9
Let q(z) be the first derivative of 4/7*z**2 + 12/7*z**3 + z - 1 + 27/14*z**4. Let a(o) be the first derivative of q(o). Factor a(y).
2*(9*y + 2)**2/7
Let o = 48 + -44. Suppose x + o = 7. Factor w + 0*w**2 + 1/2*w**4 - w**x - 1/2.
(w - 1)**3*(w + 1)/2
Let k(y) = 2*y + 26. Let j be k(-12). Let g(t) be the second derivative of 0 + j*t + 0*t**4 + 1/80*t**5 + 0*t**2 + 0*t**3. Solve g(p) = 0 for p.
0
Let i = -721 - -6491/9. Factor -i*a**5 + 0 + 2/3*a**3 - 4/9*a**2 + 0*a**4 + 0*a.
-2*a**2*(a - 1)**2*(a + 2)/9
Let g(w) = -w**3 - 1. Let z(c) = 108*c**2 - 336*c - 188. Let r(j) = 8*g(j) + z(j). Factor r(k).
-4*(k - 7)**2*(2*k + 1)
Let n(y) be the second derivative of y**6/6 + y**5/2 - 5*y**4/4 - 5*y. Solve n(o) = 0 for o.
-3, 0, 1
Let j(b) = -b + 1. Let k(i) = 3*i**2 + 7*i + 8. Let l(o) = -2*j(o) + k(o). Factor l(c).
3*(c + 1)*(c + 2)
Let y(c) be the second derivative of -c**4/24 - 5*c**3/12 - c**2 + 11*c. Suppose y(g) = 0. What is g?
-4, -1
Let v = 43/51 - 3/17. Solve t - v - 1/3*t**2 = 0.
1, 2
Let q(s) be the third derivative of s**6/210 - 2*s**5/105 - 4*s**2. Factor q(y).
4*y**2*(y - 2)/7
Let h(k) be the second derivative of -k**8/3360 + k**6/120 - k**5/30 + k**4/12 - 2*k. Let z(t) be the third derivative of h(t). Find j such that z(j) = 0.
-2, 1
Let s = 54 - 33. Let u be 8/s - 4/(-14). Factor -4/3 + 2*q - u*q**2.
-2*(q - 2)*(q - 1)/3
Let z(p) be the third derivative of p**8/336 - p**7/42 - p**6/15 + 11*p**5/15 + 4*p**4/3 - 32*p**3/3 - 13*p**2. Factor z(b).
(b - 4)**2*(b - 1)*(b + 2)**2
Let t(n) be the third derivative of -n**5/210 + n**3/21 + 6*n**2. Factor t(w).
-2*(w - 1)*(w + 1)/7
Let z = 1/74 - -47/1998. Let g(m) be the third derivative of 0*m + 0 - m**2 - z*m**3 - 1/54*m**4 - 1/270*m**5. Let g(f) = 0. Calculate f.
-1
Factor 12*o - 5*o - 43*o**2 - 2*o**3 - 3*o**5 - 2*o**3 + 49*o**2 + 2 - 8*o**4.
-(o - 1)*(o + 1)**3*(3*o + 2)
Let u(z) be the second derivative of z**6/6 - 5*z**5/4 + 15*z**4/4 - 35*z**3/6 + 5*z**2 + 9*z. Factor u(g).
5*(g - 2)*(g - 1)**3
Let o(r) be the first derivative of r**4 - 9*r**3 - 7*r**2/2 - 27. Factor o(c).
c*(c - 7)*(4*c + 1)
Suppose 0 - 20 = -4*a. Let k(l) be the third derivative of 0*l - 2*l**2 + 3/20*l**a + 1/90*l**7 + 0 + 23/360*l**6 + 13/72*l**4 + 1/9*l**3. Factor k(n).
(n + 1)**3*(7*n + 2)/3
Let h(j) be the first derivative of -j**7/1260 + j**6/216 - j**5/90 + j**4/72 + j**3 - 2. Let g(v) be the third derivative of h(v). Suppose g(l) = 0. What is l?
1/2, 1
Let v(u) be the first derivative of u**4 - 8*u**3/3 + 2*u**2 - 24. Find j such that v(j) = 0.
0, 1
Let x be (-235)/60 - (-5 + 1). Let m(h) be the second derivative of 1/20*h**5 - 3*h + 1/2*h**2 - x*h**4 + 0 - 1/6*h**3. Solve m(b) = 0 for b.
-1, 1
Let n(c) be the third derivative of -7/120*c**6 + 2*c**2 - 5/24*c**4 + 1/105*c**7 + 0 + 3/20*c**5 + 0*c + 1/6*c**3. Let n(j) = 0. Calculate j.
1/2, 1
Find z such that z**5 - 32*z**2 + 2*z**4 - 10*z**4 + 24*z**3 - 1057*z + 1073*z = 0.
0, 2
Suppose 0 = -5*o + 4*o + 7. Suppose -u - 2 = 2*k - o*k, 1 = -u + 4*k. Find z, given that -2/7*z**2 + 6/7*z**u + 2/7 - 6/7*z = 0.
-1, 1/3, 1
Let j be (20/(-50)*1)/((-1)/5). Find x, given that -9/2 - 3*x - 1/2*x**j = 0.
-3
Factor 2/3*s**2 + 0*s - 2/3.
2*(s - 1)*(s + 1)/3
Let h be (-368)/36 - 2/(-9). Let p = 14 + h. What is o in -8/11*o**p + 8/11*o + 2/11 - 8/11*o**3 + 6/11*o**2 = 0?
-1, -1/2, 1
Find k, given that -14/9 + 14/9*k**2 + 2/9*k**3 - 2/9*k = 0.
-7, -1, 1
Let x(f) be the first derivative of -f**6/45 - f**5/15 - f**4/18 + 4*f - 2. Let m(q) be the first derivative of x(q). Suppose m(z) = 0. Calculate z.
-1, 0
Let c(y) be the first derivative of -y**4/40 - y**3/15 + y**2/20 + y/5 - 16. Factor c(h).
-(h - 1)*(h + 1)*(h + 2)/10
Suppose 4*p + 39 + 14 = x, -4*x + 4*p + 236 = 0. Determine d, given that -x*d**2 - 56*d - 57*d**2 + 20*d**2 - 8 = 0.
-2/7
Let m(v) be the second derivative of 0 + 7*v + 0*v**5 - 4/3*v**3 - 2/15*v**6 + v**4 + 0*v**2. Find u such that m(u) = 0.
-2, 0, 1
Let f(o) be the third derivative of o**6/160 - o**5/16 + 7*o**4/32 - 3*o**3/8 - 19*o**2. What is k in f(k) = 0?
1, 3
Let i be (1/30)/(3/9). Let m(h) be the second derivative of 1/6*h**4 + i*h**5 + 0 + 0*h**2 - 2*h + 0*h**3. Factor m(z).
2*z**2*(z + 1)
Let k be 4/(-24) - 26/(-12). Solve s**4 - 2 - 1 - 6 + 3*s**3 - 2*s**k + 1 - 12*s = 0 for s.
-2, -1, 2
Let g = 17 - 20. Let z be g*(-4 + 1