r - 2*r**2 - 30*r**2 - 8*r.
4*r*(r - 7)*(r - 1)
Let u be (-1)/1*-5 - (-47192)/(-10480). Let q = 2/655 + u. Factor 1/4*c**2 - q*c + 1/4.
(c - 1)**2/4
Let u(h) = -277*h + 1665. Let j be u(6). Factor 125/4*z**j + 385/4*z - 100*z**2 - 49/2.
(5*z - 7)**2*(5*z - 2)/4
Let d(c) = -c**5 + 8 - 6 - c + c**3 + c**2 - 1. Let u(g) = -8*g**5 - 16*g**4 + 28*g**3 + 20*g**2 - 32*g + 20. Let a(w) = 12*d(w) - u(w). Factor a(x).
-4*(x - 2)*(x - 1)**3*(x + 1)
Find z, given that -12*z - 25/2 + 1/2*z**2 = 0.
-1, 25
Determine a, given that 0 - 14/5*a + 1/5*a**3 - 13/5*a**2 = 0.
-1, 0, 14
Let m(u) be the third derivative of u**8/36960 - u**7/3465 - u**6/360 - u**5/110 - 25*u**4/24 + 14*u**2. Let v(d) be the second derivative of m(d). Factor v(t).
2*(t - 6)*(t + 1)**2/11
Let o(m) = m**2 + 58*m - 3001. Let w be o(-91). Factor -1/6*r**3 - r + 0 - 5/6*r**w.
-r*(r + 2)*(r + 3)/6
Factor -34*a**3 + 36*a**3 + 159*a**2 - 71*a**3 + 3*a**4 + 69*a - 66 - 96*a**2.
3*(a - 22)*(a - 1)**2*(a + 1)
Let k(l) be the second derivative of l**6/195 + l**5/13 - 14*l**4/13 + 184*l**3/39 - 128*l**2/13 - 3*l - 15. Factor k(m).
2*(m - 2)**3*(m + 16)/13
Let k be (5 + -4)/(3/63). Let c = k + -18. Solve 1/2*p**4 + 1/2 - p**5 + 2*p**c - p - p**2 = 0 for p.
-1, 1/2, 1
Let l(s) be the second derivative of s**5/50 - s**4/15 + s**3/15 + 5*s**2/2 + 2*s. Let v(f) be the first derivative of l(f). Let v(j) = 0. What is j?
1/3, 1
Let l be 0/3*(-1)/(-3). Suppose l = -5*q - 3*z + 5, 4*q - 6*q + 3*z = -23. Solve 2*v**q + 2 - 3*v**2 - 6*v**4 - v + 0*v**3 + v**3 + 5*v**4 = 0 for v.
-2, -1, 1
Let y(p) = 3*p**2 - 63*p - 54. Let c(j) = -4*j**2 + 123*j + 108. Let u(t) = -4*c(t) - 7*y(t). Find i such that u(i) = 0.
-9, -6/5
Let f = 591/7 + -3455/42. Let y = 5/2 - f. Solve -2*t + 3 + y*t**2 = 0.
3
Let l(o) be the third derivative of 2*o**7/525 + o**6/150 - 4*o**5/75 - 2*o**4/15 - 236*o**2. Determine x, given that l(x) = 0.
-2, -1, 0, 2
Let s be 3*(-126)/(-27)*(-4)/(-14). Let y(n) be the first derivative of -1/5*n**2 - 8/25*n**5 + 0*n - 3/5*n**s + 7 - 8/15*n**3 - 1/15*n**6. Factor y(u).
-2*u*(u + 1)**4/5
Let t = -1831/3 - -600. Let b = t + 13. Find u such that -b*u + 8/3*u**3 + 2/3*u**2 - 2/3 = 0.
-1, -1/4, 1
Let l(o) be the second derivative of -o**5/60 + o**4/6 - 5*o**3/18 + 141*o. Factor l(f).
-f*(f - 5)*(f - 1)/3
Let h be 4 - 7/((-21)/27). Suppose -10*r = -h*r. Determine z so that 2/9*z**2 - 8/9 + r*z = 0.
-2, 2
Let x(z) = -4*z**2 - 37*z - 403. Let b(s) = 3*s**2 + 38*s + 402. Let a(u) = -3*b(u) - 2*x(u). Solve a(m) = 0 for m.
-20
Let n(f) be the third derivative of -20*f**2 + 0 - 1/448*f**8 + 0*f**4 - 1/280*f**7 + 0*f + 1/160*f**6 + 0*f**3 + 1/80*f**5. Let n(d) = 0. What is d?
-1, 0, 1
Let r(p) be the first derivative of 9*p**6/10 - 261*p**5/25 + 57*p**4/20 + 303*p**3 - 360*p**2 - 4800*p + 727. Factor r(h).
3*(h - 5)**3*(3*h + 8)**2/5
Let d(h) be the third derivative of -h**8/56 - 27*h**7/140 + 15*h**6/16 - 53*h**5/40 + 9*h**4/16 - 41*h**2 + 2. Determine k so that d(k) = 0.
-9, 0, 1/4, 1
Let w(i) be the first derivative of -2*i**5/15 + 2*i**4/3 - 110. Factor w(q).
-2*q**3*(q - 4)/3
Let i be ((-49)/70*136/(-14) + -7)*0. Factor -1/4*h**3 + 1/2*h**2 + i + 0*h.
-h**2*(h - 2)/4
Let x(s) be the second derivative of -3*s**5/80 + 3*s**4/16 - s**3/4 + 202*s. Factor x(f).
-3*f*(f - 2)*(f - 1)/4
Let u(a) = -9*a - 31. Let m be u(-3). Let k be m/(-6) + (-222)/(-72). Factor 0*x - 3/4*x**5 + k*x**4 + 0 - 6*x**3 + 3*x**2.
-3*x**2*(x - 2)**2*(x - 1)/4
Let b(l) be the second derivative of l**5/10 + l**4 + 11*l**3/3 + 6*l**2 + 18*l - 3. Factor b(f).
2*(f + 1)*(f + 2)*(f + 3)
Let v be 11/(198/4)*(-12)/(-8). Let n(r) be the first derivative of -4/9*r - 2/27*r**3 - v*r**2 - 6. Factor n(w).
-2*(w + 1)*(w + 2)/9
Let o(p) = -p**3 - p**2 + p. Let d(y) = -y**3 + y**2 - 2*y + 5. Let f(c) = c - 1. Let i(n) = d(n) + 5*f(n). Let s(t) = -i(t) + 3*o(t). Solve s(w) = 0 for w.
-2, 0
Factor -4085 + 4193*c**2 + 1085 + 18*c**4 - 5988*c - 476*c**3 - 61*c**3 - 11112*c + 1117*c**2.
3*(c - 10)**3*(6*c + 1)
Suppose 5*l + 4*q - 150 = 7*q, 0 = -l - q + 30. Factor 44*p - 9*p**2 - l - 8*p - 18*p + 33*p.
-3*(p - 5)*(3*p - 2)
Let z(b) = -b**3 + b**2 + 3*b - 1. Let x(y) = -6*y**3 + 12*y**2 + 4*y. Let m(f) = -x(f) + 5*z(f). Factor m(u).
(u - 5)*(u - 1)**2
Let k(b) be the second derivative of -b**6/180 + b**5/10 - 5*b**4/12 - 17*b**3/6 + 11*b. Let c(m) be the second derivative of k(m). Find y such that c(y) = 0.
1, 5
Let r = -156 - -98. Let x be 21/(-27)*(r/14 - -3). Factor -x - 2/9*a**2 - 8/9*a.
-2*(a + 2)**2/9
Let i(y) be the third derivative of -y**6/20 + y**5/4 + 7*y**4/4 - 4*y**3 - 33*y**2 - 2*y. Suppose i(s) = 0. Calculate s.
-2, 1/2, 4
Let h(p) be the first derivative of -12*p**5/35 + 39*p**4/28 + p**3/7 - 39*p**2/14 + 9*p/7 - 701. Solve h(i) = 0 for i.
-1, 1/4, 1, 3
Factor 234*r - 21904 - 300*r + 658*r - 4*r**2.
-4*(r - 74)**2
Let a(f) be the first derivative of 7 - 59/14*f**4 - 16/7*f + 4/5*f**5 - 4/7*f**2 + 44/7*f**3. Solve a(x) = 0.
-2/7, 1/2, 2
Let z(l) be the third derivative of -l**9/4536 - l**8/630 + l**7/420 + l**6/30 - 29*l**3/6 - 34*l**2. Let x(a) be the first derivative of z(a). Factor x(g).
-2*g**2*(g - 2)*(g + 3)**2/3
Let k(r) be the second derivative of 16*r**5/5 - 17*r**4/3 + 2*r**3/3 + 209*r. Factor k(g).
4*g*(g - 1)*(16*g - 1)
Let d = -82 - -6. Let v = d - -80. Find h, given that 0*h - 2/9*h**v + 0 + 4/9*h**3 - 2/9*h**2 = 0.
0, 1
Find v, given that 2/11*v**3 - 6/11*v**2 + 4/11 - 2/11*v + 2/11*v**4 = 0.
-2, -1, 1
Let r(j) be the first derivative of j**6/15 - 4*j**5/25 - j**4/2 + 4*j**3/3 + 4*j**2/5 - 16*j/5 + 752. Determine p, given that r(p) = 0.
-2, -1, 1, 2
Let z(a) be the second derivative of a**7/294 - a**6/210 + 22*a. Factor z(t).
t**4*(t - 1)/7
Let f(k) = -k + 2. Let i(b) = 2*b**2 + 26*b - 6. Let w(l) = 10*f(l) + i(l). Solve w(x) = 0 for x.
-7, -1
Suppose -7*d - d = 0. Let z(b) be the second derivative of 1/20*b**5 + 0*b**4 + 2*b + 0*b**3 + d - 1/30*b**6 + 0*b**2. Find i, given that z(i) = 0.
0, 1
Determine j, given that 2/3*j**2 + 28*j + 0 = 0.
-42, 0
Factor 49*w**3 - 20 - 15*w - 34*w**3 - 5*w**4 - 9*w**2 + 34*w**2.
-5*(w - 4)*(w - 1)*(w + 1)**2
Suppose 7 = 4*q + 2*c - 35, -5*q + 55 = 5*c. Factor y**5 - 6*y**5 + 38*y**3 - q*y**4 - 38*y**3.
-5*y**4*(y + 2)
Let z be (-4 - 0)*80/(-64). Solve -6*i**3 - 2*i**2 + 0*i + 3 + 15*i - 21*i**4 + 15*i**2 - 9*i**5 + z*i**2 = 0.
-1, -1/3, 1
Let o(g) be the first derivative of -g**4/16 + 3*g**3/4 - 27*g**2/8 - 7*g + 3. Let x(r) be the first derivative of o(r). Factor x(z).
-3*(z - 3)**2/4
Let c = 359/805 - 2/115. Let q = -330 - -2313/7. Find y, given that 6/7 - c*y - q*y**2 = 0.
-2, 1
Solve -49/4*w**4 + 1 + 7*w + 45/4*w**2 - 7*w**3 = 0.
-1, -2/7, 1
Determine o so that -33/4*o**2 + 0 + 0*o - 1/4*o**4 - 17/2*o**3 = 0.
-33, -1, 0
Let x(z) be the third derivative of -z**5/240 + z**4/48 + z**3/3 - 129*z**2. Find y such that x(y) = 0.
-2, 4
Let v(z) be the third derivative of -z**6/660 - 19*z**5/330 - 3*z**4/22 - 3*z**2 + 14. Let v(w) = 0. Calculate w.
-18, -1, 0
Let v(k) be the first derivative of 15*k**4/8 + 50*k**3/3 + 15*k**2 - 321. Factor v(p).
5*p*(p + 6)*(3*p + 2)/2
Suppose 0 = 2*w - 4*u - 26, -3*u - u = -5*w + 35. Let d(r) = r**2. Let n = 0 - -15. Let a(y) = -6*y**2 + 4*y - 4. Let q(h) = n*d(h) + w*a(h). Factor q(p).
-3*(p - 2)**2
Suppose -j = 2*j + 4*w + 20, 4*j = 5*w + 25. Suppose 2*q**4 + 16 + 36*q**2 - 13*q + j*q**4 - 14*q**3 - 27*q = 0. Calculate q.
1, 2
Let n(z) = 2*z**2 - z - 1. Let b(k) = 3*k**3 - 17*k**2 - 23*k - 11. Let l(v) = b(v) + 4*n(v). Factor l(i).
3*(i - 5)*(i + 1)**2
Let c be ((-24)/4)/(2/1). Let d = c + 7. Factor -v**d + 3*v**2 - 7*v**2 + 3*v**4 - 2*v**3.
2*v**2*(v - 2)*(v + 1)
Let g = 3/41 + -79/1640. Let l(m) be the third derivative of 1/8*m**4 - 3*m**2 + 0*m + 0 + 0*m**3 - g*m**6 + 0*m**5. Factor l(u).
-3*u*(u - 1)*(u + 1)
Let r(g) = -12*g**2 - 512*g - 17964. Let m(s) = s**2 - 3*s + 1. Let w(d) = -8*m(d) - r(d). Factor w(t).
4*(t + 67)**2
Let m(g) be the first derivative of 4*g**3/21 + 46*g**2/7 - 96*g/7 + 248. Solve m(d) = 0 for d.
-24, 1
Let z(j) be the second derivative of j**4/3 - 170*j**3/3 - 486*j. Factor z(h).
4*h*(h - 85)
Let t(m) be the first derivative of -m**7/2100 - m**6/900 + m**5/300 + m**4/60 - 4*m**3 - 13. Let q(n) be the third derivative of t(n). Solve q(p)