 15/4*v**2.
5*v**2*(v + 3)/4
Let l(h) be the second derivative of -h**5/60 - 7*h**4/36 + 17*h**3/18 - 3*h**2/2 - 11*h - 1. Factor l(s).
-(s - 1)**2*(s + 9)/3
Let g = 72 - 68. Let b(l) = -8*l**4 - 8*l**3 - 4*l**2 - 4*l - 4. Let q(u) = -15*u**4 - 16*u**3 - 8*u**2 - 7*u - 7. Let z(h) = g*q(h) - 7*b(h). Factor z(v).
-4*v**2*(v + 1)**2
Let u(b) = 4*b**2 + 80*b + 224. Let d(t) = 4*t**2 + 78*t + 223. Let x(q) = 4*d(q) - 5*u(q). Factor x(y).
-4*(y + 3)*(y + 19)
Factor -9*i + 4*i**2 + 14 + 9*i**2 - 18*i**2 + 6*i**2.
(i - 7)*(i - 2)
Suppose 6*a - 5 = 5*a. Suppose -a = -4*j + 7. Factor -k**4 - 2*k**4 + 3*k**3 - 3*k**4 + j*k**5.
3*k**3*(k - 1)**2
Let i(m) be the third derivative of m**6/60 - m**5/15 - m**4/3 + 8*m**3/3 - 2*m**2 - 18*m. Solve i(q) = 0.
-2, 2
Suppose 11*b - 6*b - 20 = 0. Suppose 5*j - 3*h = 11, 4*j - h - 3*h = b. Factor 18*d**2 - 4*d**5 - 4*d**4 - 2*d**2 - 8*d**j.
-4*d**2*(d - 1)*(d + 2)**2
Let f(p) = 24*p**3 - 74*p**2 - 54*p + 240. Let s(o) = 5*o**3 - 15*o**2 - 11*o + 48. Let m(i) = 3*f(i) - 14*s(i). Factor m(g).
2*(g - 6)*(g - 2)*(g + 2)
Let y(q) be the second derivative of q**5/10 - q**4/6 - 4*q**3/3 + 4*q**2 + 51*q. Determine t, given that y(t) = 0.
-2, 1, 2
Factor 0 + 3750*t**2 + 0*t + 150*t**3 + 3/2*t**4.
3*t**2*(t + 50)**2/2
Suppose -3*x + 2*x = -2. Let 6*o**2 - 4*o**2 - 3*o**x + 3*o = 0. What is o?
0, 3
Let q(j) be the first derivative of -5/3*j**3 - 5*j**2 + 15*j + 7. Let q(u) = 0. What is u?
-3, 1
Let k(c) be the first derivative of -c**4/36 - 88*c**3/27 - 173*c**2/18 - 86*c/9 + 317. Factor k(f).
-(f + 1)**2*(f + 86)/9
Let b = -30 + 44. Suppose -a - a + b = 0. Factor 40*c**2 + 2*c + 85*c**3 + a*c + 35*c**2 + 6*c + 30*c**4 - 5.
5*(c + 1)**3*(6*c - 1)
Let q(g) be the third derivative of -g**8/1344 + g**7/840 + g**6/80 - 7*g**5/120 + 11*g**4/96 - g**3/8 - 46*g**2. Determine v so that q(v) = 0.
-3, 1
Suppose 4*g + 16 = u, -22 = 5*u - g - 26. Factor -75*y**2 - 245/4*y**4 + 315/2*y**3 + 10*y + u.
-5*y*(y - 2)*(7*y - 2)**2/4
Factor 36*b + 1/3*b**3 - 6*b**2 - 72.
(b - 6)**3/3
Let l(f) = 106*f**4 - 330*f**3 + 184*f**2 + 14*f + 26. Let a(m) = -m**4 + m**3 + m**2 - 2*m + 1. Let k(n) = -44*a(n) + 2*l(n). Determine x, given that k(x) = 0.
-1/8, 1, 2
Let p(y) be the first derivative of -4/3*y**3 - 4 - y**4 + 2/3*y**6 + 0*y + 0*y**2 + 4/5*y**5. Factor p(l).
4*l**2*(l - 1)*(l + 1)**2
Factor 47/7*p**2 + 1/7*p**3 + 528/7*p - 576/7.
(p - 1)*(p + 24)**2/7
Let v(n) be the second derivative of 0 + 1/100*n**5 + 0*n**3 + 0*n**4 - 6*n - n**2. Let u(z) be the first derivative of v(z). Let u(b) = 0. Calculate b.
0
Let b(f) be the third derivative of 0 + 11/12*f**4 + 1/60*f**6 + 0*f - 5/3*f**3 - 7/30*f**5 + f**2. Let b(m) = 0. Calculate m.
1, 5
Let o(l) = -5*l**2 + 146*l + 4. Let z(m) = -12*m**2 + 291*m + 9. Let f(j) = 9*o(j) - 4*z(j). What is w in f(w) = 0?
-50, 0
Suppose -2*c = 2*u - 10, c + 0*c = 2*u - 4. Factor -2*f**2 + 0*f**2 + f - f**c - 4*f.
-3*f*(f + 1)
Let f(u) be the first derivative of 0*u**2 - 8 + 0*u + 2/3*u**3 + 1/4*u**4. Suppose f(s) = 0. Calculate s.
-2, 0
Suppose -3*t - 6 - 2 = 2*g, -3*g + 22 = -4*t. Let o be ((-3)/(-7))/((-4)/(-7)). Factor o*m + 1/2 + 3/4*m**3 - 2*m**g.
(m - 2)*(m - 1)*(3*m + 1)/4
Find k, given that 14/13 + 18/13*k**2 - 30/13*k - 2/13*k**3 = 0.
1, 7
Suppose 0*l + 4*s = 4*l + 4, -6 = 3*l - 4*s. Let 25*k**2 - 12*k**2 - 10*k**l = 0. Calculate k.
0
Determine x so that -18*x - 236/13 + 2/13*x**2 = 0.
-1, 118
Suppose -3*l + r = -4 - 4, -4*l + 10 = -2*r. Suppose 0 = 3*i + 5*k - 22, -i = i + l*k - 14. Solve q**i - 3*q - 3*q**3 + 2*q**4 - 6*q**2 + 3*q = 0 for q.
-1, 0, 2
Let b = -5/1083 - -87748/5415. Let r = -16 + b. Find f such that 1/5*f**4 - r*f**2 + 2/5*f - 3/5*f**3 + 0 + 1/5*f**5 = 0.
-2, -1, 0, 1
Let r(n) = 7*n**2 - 44*n + 73. Let w(a) = -3*a**2 + 22*a - 35. Let m(z) = 4*r(z) + 9*w(z). Let m(h) = 0. What is h?
-23, 1
Suppose 4*w + 2*y + 2 = 3*w, -3*w = -2*y - 10. Suppose -w*m - 3 = -11. Suppose -8 - 132*c**3 - 13*c**4 + 8*c**4 - 31*c**m - 60*c - 148*c**2 = 0. Calculate c.
-2, -1, -1/3
Let j = 5 + -1. Suppose 0 = z + z - j. Factor -4/3 + z*i - 2/3*i**2.
-2*(i - 2)*(i - 1)/3
Let z = -136 + 139. Let k(c) be the second derivative of -1/6*c**4 + 6*c + 0*c**z + 0 + 0*c**2. Factor k(o).
-2*o**2
Suppose 0 + 5/4*u**3 + 25/2*u**2 - 55/4*u = 0. What is u?
-11, 0, 1
Let u be (6/(-165))/((20/(-100))/((-6)/(-6))). Factor u*s**2 + 30/11 - 32/11*s.
2*(s - 15)*(s - 1)/11
Let b(g) be the first derivative of g**3/6 - g/2 - 34. Let b(k) = 0. Calculate k.
-1, 1
Solve -11 + 44 - a**2 - 3*a - 23 = 0.
-5, 2
Let j(o) be the first derivative of 11 + 0*o + 1/12*o**2 - 1/18*o**3. Find i such that j(i) = 0.
0, 1
Let a = 13987 - 13985. Find q, given that -12/7*q**3 - 48/7 + 20/7*q**a + 64/7*q = 0.
-2, 2/3, 3
Let y(i) = -i**3 - 2*i**2 - i - 2. Let a be y(-3). Let q be a*((-6)/(-15) + 0). Suppose 3*m**3 + 0*m + m - 2 - 4*m**3 - 6*m - q*m**2 = 0. What is m?
-2, -1
Suppose 12/5 + 4/5*h**3 - 1/5*h**4 - 16/5*h + 1/5*h**2 = 0. Calculate h.
-2, 1, 2, 3
Let v = -308 - -401. Suppose 5*q + 4*m = 95, -4*q + v = 5*m + 8. Suppose -4*b**4 - 35/2*b**2 - 1 + 15/2*b + q*b**3 = 0. What is b?
1/4, 1/2, 1, 2
Let q(k) be the second derivative of -k**7/1120 - k**6/240 - k**5/160 - 7*k**3/6 + 6*k. Let n(x) be the second derivative of q(x). Let n(d) = 0. Calculate d.
-1, 0
Determine a, given that -5*a**5 + 6*a**3 + 12*a**2 + 5*a**5 + 3*a**5 - 4*a**4 - 8*a**4 - 9*a = 0.
-1, 0, 1, 3
Let a(i) be the first derivative of i**7/168 + i**6/36 + i**5/24 + 2*i**3/3 + 10. Let h(t) be the third derivative of a(t). What is m in h(m) = 0?
-1, 0
Factor -40/3*s**2 + 0 - 4/3*s**3 - 12*s.
-4*s*(s + 1)*(s + 9)/3
Let u = -13 - -16. Let i(f) be the first derivative of 16/15*f**u + 12 + 0*f**2 + 4/25*f**5 + 0*f + 4/5*f**4. Suppose i(s) = 0. What is s?
-2, 0
Let r(d) be the third derivative of -d**7/210 - d**6/40 + 3*d**5/20 + 23*d**4/24 + 2*d**3 - 37*d**2 + d. Let r(h) = 0. Calculate h.
-4, -1, 3
Let u(l) = 5*l**2 - 14*l + 1. Let s(j) = -5*j**2 + 15*j. Let q = -104 + 100. Let d(h) = q*s(h) - 5*u(h). Determine n, given that d(n) = 0.
1
Let x(v) be the third derivative of v**5/20 + 15*v**4/8 + 28*v**3 + 30*v**2. Factor x(h).
3*(h + 7)*(h + 8)
Let w(o) be the first derivative of 104*o**2 - 676/3*o**3 + 22 - 16*o. Factor w(h).
-4*(13*h - 2)**2
Let s(m) be the second derivative of m**4/3 - 18*m**2 + 42*m - 1. Find p, given that s(p) = 0.
-3, 3
Let k be 3 + 46*-1*5/10. Let j be (-53)/k + -2 - (-2)/(-5). Find r such that 1/4*r**2 + 0*r - j = 0.
-1, 1
Let a(d) be the first derivative of -d**3/4 + 15*d**2/4 - 75*d/4 - 86. Factor a(o).
-3*(o - 5)**2/4
Let v(m) = -120*m**3 - 89*m**2 + 89*m + 47. Let t(b) = -45*b**2 - 60*b**3 - b + 0*b + 24 + 46*b. Let z(a) = -11*t(a) + 6*v(a). Factor z(x).
-3*(x + 1)*(4*x - 3)*(5*x + 2)
Let t(d) be the second derivative of -84*d**5/5 - 53*d**4/3 + 8*d**3 + 10*d**2 - 9*d + 6. Suppose t(m) = 0. What is m?
-5/7, -1/4, 1/3
Let h be (-4)/3 + 330/45. Determine s so that -3*s**3 + 2*s + s + 4*s**2 + h - 2*s**2 - 8*s**2 = 0.
-2, -1, 1
Factor 9 - 4*i + 1/3*i**2.
(i - 9)*(i - 3)/3
Let q = -19535/9 - -2171. Determine m, given that 2*m**2 - 10/9*m**3 - 14/9*m + 2/9*m**4 + q = 0.
1, 2
What is u in -2/13*u**2 - 42/13 + 20/13*u = 0?
3, 7
Let f be (-7 - (-162)/22)*1/4. Let t(m) be the first derivative of -6/11*m**4 - 4/11*m**3 - f*m**6 - 4/11*m**5 + 8 + 0*m - 1/11*m**2. What is u in t(u) = 0?
-1, -1/3, 0
Let u(d) = -14*d**5 - 10*d**4 - 20*d**3 - 12*d**2 + 12*d - 12. Let n(i) = i**5 + i**3 + i**2 - i + 1. Let k(b) = 12*n(b) + u(b). Factor k(t).
-2*t**3*(t + 1)*(t + 4)
Let l(u) = -2254*u + 4508. Let m be l(2). Suppose w = 6*w. Determine x so that -4/13*x**3 + 2/13*x**5 + w*x**2 + 2/13*x + 0 + m*x**4 = 0.
-1, 0, 1
Let o(v) be the first derivative of -v**5/12 + 5*v**4/6 - 5*v**3/2 + 5*v**2 - 3*v + 25. Let z(c) be the second derivative of o(c). Factor z(b).
-5*(b - 3)*(b - 1)
Let a(v) be the first derivative of -2*v**5/85 + 19*v**4/34 - 76*v**3/17 + 224*v**2/17 - 256*v/17 - 120. Find z, given that a(z) = 0.
1, 2, 8
Solve 0 - 2/5*a**5 + 0*a + 6/5*a**4 - 6/5*a**2 + 2/5*a**3 = 0.
-1, 0, 1, 3
Let t(z) be the second derivative of z**4/16 - 17*z**3/8 + 39*z**2/2 + 253*z - 1. Factor t(l).
3*(l - 13)*(l - 4)/4
Let f be (-2)/(-140)*-268*-5. Let z = 20 - f. Factor z*l**3 + 1/7*l**4 + 9/7*l**2 + 0 + 0*l.