m such that -2/9*m**c + 10/9*m - 4/3 = 0.
2, 3
Let z be 1/(3/24*2). Factor l**3 + 65*l**5 - 3*l**3 + 2*l**2 - 2*l**z - 63*l**5.
2*l**2*(l - 1)**2*(l + 1)
Let u(t) = -5*t**4 + t**3 - 8*t**2 + 4*t - 8. Let h(a) = -14*a**4 + 4*a**3 - 24*a**2 + 12*a - 22. Let f(w) = 4*h(w) - 11*u(w). Determine c, given that f(c) = 0.
0, 1, 2
Let l(r) be the third derivative of -r**6/30 + r**5/5 + r**4/6 - 2*r**3 + 63*r**2. Let l(n) = 0. Calculate n.
-1, 1, 3
Suppose 2*n - 67 = -43. Let j be (-7)/((-28)/n) + 1. Let -8/7*f**3 - 2/7*f + 10/7*f**5 - 16/7*f**j + 20/7*f**2 - 4/7 = 0. What is f?
-1, -2/5, 1
Suppose -10*u = -2*u - 120. Factor -3 - u*w - 48*w**2 + 0 - 27*w**3 + 9.
-3*(w + 1)**2*(9*w - 2)
Determine p, given that 22*p**3 + 254*p - 50*p**2 + 265*p + 249*p - 997*p + 2*p**4 + 255*p = 0.
-13, 0, 1
Suppose -h = -3*h + 74. Suppose -9 = 14*g - h. Find u such that -8/3 - 52/3*u + 49/3*u**3 - 70/3*u**g = 0.
-2/7, 2
Let m(u) be the first derivative of -u**4/4 + 52*u**3/3 + 53*u**2/2 - 2. Factor m(p).
-p*(p - 53)*(p + 1)
Let q(i) be the second derivative of i**7/231 - i**6/165 - 2*i**5/55 + 2*i**4/33 + 276*i. Let q(b) = 0. What is b?
-2, 0, 1, 2
Solve -2/11*u**2 - 188/11*u - 4418/11 = 0.
-47
Let g(t) be the first derivative of -t**8/84 + t**6/30 - 6*t**2 - 12. Let h(a) be the second derivative of g(a). Factor h(i).
-4*i**3*(i - 1)*(i + 1)
Suppose 4*w + 0*m + 4*m = 28, -4*w = 2*m - 18. Suppose 4*q - w*q - v - 1 = 0, 2*v - 22 = -4*q. Factor -5*n + 2*n - 5*n + 11*n**2 - q*n**2 - 2*n**3.
-2*n*(n - 2)**2
Let m(y) = 14*y - 37 + 51 - 5*y - y**2. Let h(c) = c + 1. Let k(p) = 44*h(p) - 4*m(p). Factor k(i).
4*(i - 1)*(i + 3)
Suppose -x = 3*x + 4*s + 104, -80 = 3*x + 5*s. Let t be (2/(-5))/(5/x). Suppose 0 + 0 + c - t*c**2 = 0. What is c?
0, 1/2
Suppose -30*d = -39*d + 42*d - 66. Factor -13/4*t**d - 3*t - 1/4*t**4 - 3/2*t**3 - 1.
-(t + 1)**2*(t + 2)**2/4
Let x(t) = -19*t - 2. Let n be x(3). Let f = 85 + n. Factor f*m**2 - 10 + 8*m + 1 + 1 + 10*m**3.
2*(m + 1)*(m + 2)*(5*m - 2)
Let c(q) be the second derivative of 2*q**6/3 + 52*q**5/5 + 5*q**4 - 104*q**3/3 - 40*q**2 + 180*q. Find n, given that c(n) = 0.
-10, -1, -2/5, 1
Let v(w) be the third derivative of 0*w - 9*w**2 + 1/14*w**7 + 0*w**6 - 5/336*w**8 + 0 + 0*w**4 + 0*w**3 + 0*w**5. Factor v(c).
-5*c**4*(c - 3)
Let n(s) be the third derivative of s**5/270 - 13*s**4/108 + 22*s**3/27 - 159*s**2 + 3*s. Solve n(x) = 0 for x.
2, 11
Suppose 0 = 2*h - 4*j - 26, 0 = j - 6*j - 10. Suppose 0 = 6*v - h - 3. Factor -2*x + 1/2*x**3 + x**v - 4.
(x - 2)*(x + 2)**2/2
Let t be (-1 + 1)*(0 + 1). Suppose -2*h - 14 = -4*m, h = -3 - t. Factor 3/5*z + 0 + 3/5*z**m.
3*z*(z + 1)/5
Suppose 5*o + 4*l = -1, 0 = 33*o - 34*o + 3*l + 15. Factor -33/5*b**2 + 0 + 12/5*b**o + 18/5*b + 3/5*b**4.
3*b*(b - 1)**2*(b + 6)/5
Find x such that -2*x**3 + 2*x - 8/5*x**4 + 6/5*x**2 + 2/5 = 0.
-1, -1/4, 1
Let k(c) be the third derivative of c**5/30 + 13*c**4/6 + 88*c**3/3 - 487*c**2 + 1. Factor k(j).
2*(j + 4)*(j + 22)
Let x = -22 + 27. Factor -6*r**3 - 4*r**2 + 11*r**3 + r**3 - 2*r**x.
-2*r**2*(r - 1)**2*(r + 2)
Let n = 13 - 28. Let k = -13 - n. Determine f, given that 12/5 + 3*f**k - 3/5*f**3 - 24/5*f = 0.
1, 2
Let j(w) be the first derivative of 2*w**6 - 8*w**5/5 - 9*w**4 + 16*w**3 - 8*w**2 - 66. Suppose j(r) = 0. What is r?
-2, 0, 2/3, 1
Let q(m) be the third derivative of m**7/490 - 3*m**6/140 + 9*m**5/140 - m**4/14 - 59*m**2 + 2. Let q(w) = 0. Calculate w.
0, 1, 4
Let r be ((-12)/28 + 60/42)*0. Let w(j) be the second derivative of -2/9*j**2 - 2/9*j**4 + r + j - 2/45*j**5 - 1/3*j**3. What is q in w(q) = 0?
-2, -1/2
Let k = 5469 + -5466. Factor -2*r + 1/3*r**2 + k.
(r - 3)**2/3
Suppose 0 = -0*k - k. Let y be 481/78 + (-33)/6. Find r, given that k*r**2 + 0 - 2/3*r + y*r**3 = 0.
-1, 0, 1
Let b(f) be the second derivative of 0 - 1/18*f**4 + 1/9*f**3 + 0*f**2 + 6*f. Factor b(k).
-2*k*(k - 1)/3
Factor -4*l**2 + l**2 - 539 + 0*l**2 + 635 + 12*l.
-3*(l - 8)*(l + 4)
Let k(q) = -q**2 + 5*q + 4. Let b be k(6). Let v be 3/(-45)*12/b. Solve 6/5*d + v*d**3 - 2/5 - 6/5*d**2 = 0 for d.
1
Let z(r) = 21*r**3 + 10*r**2 - 29*r - 40. Let a(u) be the first derivative of u**4 + 2*u**3/3 - 3*u**2 - 8*u - 15. Let v(o) = -11*a(o) + 2*z(o). Factor v(j).
-2*(j - 2)*(j + 1)*(j + 2)
Let v(b) be the second derivative of -b**7/294 - b**6/42 + b**5/10 - b**4/42 - 13*b**3/42 + b**2/2 + 10*b. What is k in v(k) = 0?
-7, -1, 1
Let o = 6 - 3. Let b be 2 + (2 - o) + (-2)/10. Factor 4/5 - b*k**2 + 0*k.
-4*(k - 1)*(k + 1)/5
Let i be 15/(735/28) + (-34)/(-14). Let u(s) be the third derivative of 1/80*s**5 + 0*s + 0 + 0*s**i + 6*s**2 + 1/16*s**4. Factor u(d).
3*d*(d + 2)/4
Let q(o) be the first derivative of -5*o**6/6 - 74*o**5 - 1970*o**4 - 38800*o**3/3 - 36040*o**2 - 46240*o - 320. Factor q(d).
-5*(d + 2)**3*(d + 34)**2
Factor 20/11*y**2 - 2/11*y**3 + 28/11 - 46/11*y.
-2*(y - 7)*(y - 2)*(y - 1)/11
Let u = 227/159 + -5/53. Let b(t) be the second derivative of 5*t + 0 + 4/21*t**7 + 1/3*t**4 - 4/5*t**5 - 1/15*t**6 + u*t**3 - t**2. What is a in b(a) = 0?
-1, 1/4, 1
Let q(h) = -h**3 + 24*h**2 - 24*h + 23. Let w be q(23). Let n be (w/(-1))/(6 + -8). Factor n - 4/3*z**5 + 5/3*z**4 + 0*z**2 - 1/3*z**3 + 0*z.
-z**3*(z - 1)*(4*z - 1)/3
Let i = 1 + -15. Let y = i - -17. Determine v, given that 12*v**3 + 0*v**2 + 3*v**2 - y*v**4 - 4*v**2 - 7*v**3 - 9*v**5 = 0.
-1, 0, 1/3
Factor 4*w**4 - 3*w**2 - 3*w**4 - 24*w + 11*w**2 + 881*w**3 + 5*w**4 - 843*w**3.
2*w*(w + 1)*(w + 6)*(3*w - 2)
Let j(g) = -24*g. Let r be j(-7). Let f = r + -1170/7. Determine w, given that 12/7*w**2 + 15/7*w + f + 3/7*w**3 = 0.
-2, -1
Let a(b) be the second derivative of -1/90*b**6 - 5/36*b**4 + 1/9*b**3 + 0*b**2 + 1/15*b**5 - 11*b + 0. Solve a(u) = 0.
0, 1, 2
Suppose 5*y = -y + 390. What is g in 100*g**2 + 180*g**2 + 176*g + 32 + y*g**3 + 35*g**3 = 0?
-2, -2/5
Let v(o) be the second derivative of -o**8/3360 + o**6/360 + 25*o**4/12 + 2*o. Let b(l) be the third derivative of v(l). Factor b(a).
-2*a*(a - 1)*(a + 1)
Let u(m) = 5*m**4 - 5*m**2 - 2*m + 2. Let j(c) = 51*c**4 - 51*c**2 - 21*c + 21. Let l = 35 - 33. Let f(z) = l*j(z) - 21*u(z). Factor f(q).
-3*q**2*(q - 1)*(q + 1)
Factor u**2 - 5/2*u - 3 + 1/2*u**3.
(u - 2)*(u + 1)*(u + 3)/2
Let k be ((-40)/(-440))/(36/1122). Find h such that 19/6*h**2 - k*h - 1/3 = 0.
-2/19, 1
Let q(i) be the first derivative of -2*i**5/5 - 7*i**4/4 - 7*i**3/3 - i**2 - 9. Suppose q(v) = 0. What is v?
-2, -1, -1/2, 0
Suppose 3*s - w - 41 = 0, 2*s = -s + 5*w + 37. Let s*c**4 - 11*c + 36*c**2 - 33*c - 4*c**3 - 18*c**4 + 16 = 0. Calculate c.
-4, 1
Let v(r) be the first derivative of -r**3/9 + 2*r**2/3 - r - 896. Find z, given that v(z) = 0.
1, 3
Factor -184/7*c - 4/7*c**2 - 2116/7.
-4*(c + 23)**2/7
Let z(r) = r**5 - r. Suppose 0 = c - 3, 0 = -x - 3*c + 8. Let t(h) = -14*h**3 + 4*h**2 + 26*h - 16. Let d(f) = x*t(f) - 2*z(f). Suppose d(v) = 0. Calculate v.
-2, 1, 2
Suppose 80*q**3 - 21*q**4 + 90*q**2 + q**4 - 12*q**2 - 240*q - 5*q**5 + 26*q**2 - 24*q**2 = 0. Calculate q.
-6, -2, 0, 2
Let g(j) be the first derivative of -j**4/44 - 65*j**3/11 - 12675*j**2/22 - 274625*j/11 + 207. Factor g(w).
-(w + 65)**3/11
Find n such that 11/5*n**2 - 1/5*n**3 + 1/5*n - 11/5 = 0.
-1, 1, 11
Suppose -6/7*g**4 - 2/7*g**2 + 16/7*g - 16/7*g**3 + 8/7 = 0. What is g?
-2, -1, -2/3, 1
Let x(p) = -p**2 - 3. Let u(v) = -2*v**2 + 27*v - 99. Let d(z) = 5*u(z) - 15*x(z). Solve d(k) = 0 for k.
-30, 3
Let -4/3*l**3 + 64/3*l**2 + 24 + 140/3*l = 0. Calculate l.
-1, 18
Let q(j) = 5*j - 88. Let h(d) = -d + 22. Let l(a) = 9*h(a) + 2*q(a). Let r be l(-10). Factor -2*u**2 - 7*u**2 - r*u + 3*u**2 + 3*u - u**3.
-u*(u + 3)**2
Solve -153*r**4 + 403*r**4 - 225*r**3 + 26*r**5 + 35*r - 11245*r**2 + 11145*r**2 - 22*r**5 + 36*r**5 = 0 for r.
-7, -1/2, 0, 1/4, 1
Suppose -9*j = -0 - 27. Suppose 5*k**3 - 2*k**3 - 2*k**3 - 5*k**j = 0. Calculate k.
0
Let p(u) = 54*u**2 + u + 1. Let t be p(-1). Let d = t - 30. Determine o, given that 2*o - 16*o**2 - 10*o**2 + d*o**2 + 4 = 0.
-1, 2
Let f(j) be the second derivative of j**5/90 + j**4/6 - 34*j**3/27 + 8*j**2/3 + 167*j. Factor f(s).
2*(s - 2)*(s - 1)*(s + 12)/9
Let z(q) be the third derivative of -1/105*q**7 + 3*q**2 + 0*q + 1/10*q**6 + q**4 - 4/3*q**3 + 0 - 13/30*q**5. Factor z(v).
-2*(v - 2)**2*(v - 1)**2
Let q be 8/(-9)*(-72)/16. Let 