r 222/5*u + 0*u**2 - 44 - 2/5*u**3.
-2*(u - 10)*(u - 1)*(u + 11)/5
Let d(i) be the first derivative of 10/9*i**3 + 50/3*i - 57 - 15/2*i**2. Find f such that d(f) = 0.
2, 5/2
Suppose 11*a - 16*a - 53 = -p, 4*a + 46 = 2*p. Factor -1/7*m**5 + 1/7*m**2 - 1/7*m**4 + 0*m + 1/7*m**p + 0.
-m**2*(m - 1)*(m + 1)**2/7
Solve -408/7*j**3 - 73320/7*j + 12675 - 3/7*j**4 - 2142*j**2 = 0.
-65, -7, 1
Suppose -5*x - 42 = 2*o, o + 0*o = 4*x - 34. Let a(s) = 17*s**2 + 4*s - 37. Let c(g) = 4*g**2 + g - 9. Let q(d) = o*c(d) + 6*a(d). Suppose q(h) = 0. What is h?
-3, 2
Let k(s) be the first derivative of 2*s**3/15 + 376*s**2/5 - 754*s/5 + 11885. Factor k(c).
2*(c - 1)*(c + 377)/5
Suppose 4*d + 136 = -3*p + 133, 0 = -d + 3*p + 3. Factor 16/9*r + d + 2/9*r**3 + 4/3*r**2.
2*r*(r + 2)*(r + 4)/9
Let a = -53 - -65. Suppose -53*c = -49*c - a. Solve 0 - 4/7*w**c - 4/7*w + 8/7*w**2 = 0 for w.
0, 1
Let l(a) = -35*a + 30*a**3 + 73*a**2 + 1059*a + 268*a**2 - 3*a**4 + 904. Let c(p) = p**4 + p**3 + 2*p**2 - p - 1. Let f(h) = 4*c(h) + l(h). Factor f(n).
(n + 2)**2*(n + 15)**2
Let w(m) be the second derivative of -m**3/3 + 24*m**2 + 5*m. Let c be w(23). Determine d so that 18*d + 0*d**2 - 25*d - 3 - 4*d**c = 0.
-1, -3/4
Let u(k) be the third derivative of k**7/42 - k**6/12 - 29*k**5/12 + 25*k**4/4 - 5*k**2 - 112*k. Factor u(o).
5*o*(o - 6)*(o - 1)*(o + 5)
Let u(z) be the first derivative of -z**4/4 + 31*z**3 + z**2/2 - 93*z - 47. Factor u(s).
-(s - 93)*(s - 1)*(s + 1)
Let o(n) be the second derivative of -3*n**5/40 + 211*n**4/24 - 239*n**3/6 + 34*n**2 - 5086*n + 1. Factor o(g).
-(g - 68)*(g - 2)*(3*g - 1)/2
Let z(n) be the third derivative of 1/168*n**8 + 4/9*n**3 + 0*n + 1/3*n**4 - n**2 - 1/12*n**6 - 1/18*n**5 + 22 + 1/315*n**7. Suppose z(y) = 0. Calculate y.
-2, -1, -1/3, 1, 2
Let n(u) = u**4 + 2*u**3 - 2*u**2 + 2*u - 1. Let k(r) = 10*r**4 - 460*r**3 + 910*r**2 + 10*r - 5. Let h(w) = k(w) - 5*n(w). Solve h(t) = 0 for t.
0, 2, 92
Let y(z) be the third derivative of 7*z**5/60 - 11*z**4/12 - 37*z**3/6 - 30*z**2. Let d(n) = 2*n**2 - 7*n - 12. Let o(m) = 8*d(m) - 3*y(m). Factor o(j).
-5*(j - 3)*(j + 1)
Determine k so that 1461*k + 3/2*k**2 + 2919/2 = 0.
-973, -1
Let x(g) be the first derivative of 3*g**4/4 - 10053*g**3 + 101062809*g**2/2 - 112887157653*g - 12328. Factor x(q).
3*(q - 3351)**3
Let c = 340 + -338. Suppose -1020*w + 180 + 220*w**4 + 65*w**4 - 1190*w**3 - 40*w**4 + 1263*w**2 + 602*w**c = 0. What is w?
3/7, 2
Let g(b) = 4*b - 36. Let q be g(10). Suppose q*j - 3*c = 162, c + 200 = 5*j - 4*c. Factor 5*x**5 - 42*x + j*x - 25*x**3 - 15*x**2 - 9*x**4 + 4*x**4.
5*x**2*(x - 3)*(x + 1)**2
Let l = 93/14 - -991/70. Let v = l - 62/3. What is r in -2/5*r + v*r**2 + 4/15 = 0?
1, 2
Let v(h) be the first derivative of h**3/3 - 40*h**2 + 511*h + 464. Solve v(i) = 0.
7, 73
Factor -49 - 3479355*j**2 + 20 + 51*j + 59*j + 3479353*j**2 + 501.
-2*(j - 59)*(j + 4)
Let j(l) = -43*l**3 + 11*l**2 - 95*l + 133. Let b(i) = 2*i**3 + i**2 - i - 1. Let n(h) = 84*b(h) + 4*j(h). Find w such that n(w) = 0.
2, 28
Find c, given that -176/3*c + 116 + 1/3*c**2 = 0.
2, 174
Let d(z) be the first derivative of -11*z**4/12 - 41*z**3/3 - 110*z**2/3 - 12*z + 439. Determine y so that d(y) = 0.
-9, -2, -2/11
Let l(s) be the third derivative of s**5/360 + 5*s**4/144 + s**3/6 + 6*s**2 + 3. Suppose l(g) = 0. Calculate g.
-3, -2
Let j(s) = -33*s + 27. Let z be j(3). Let a be 5/(-20) + (-42)/z. Suppose a*b**4 + 4/3 + 13/3*b**2 + 2*b**3 + 4*b = 0. What is b?
-2, -1
Let w be (-51)/(-323)*(-1102)/(-87). What is f in -4/5*f - 3/5*f**w + 1/10*f**4 + 3/10*f**3 + 0 = 0?
-4, -1, 0, 2
Let s(y) be the second derivative of y**6/120 - 23*y**5/80 - 25*y**4/16 - 77*y**3/24 - 13*y**2/4 - 11*y + 30. Factor s(r).
(r - 26)*(r + 1)**3/4
Let x(c) = -3*c**2 + 4*c + 14. Let v(a) = 0*a**2 + 4*a + 3*a**2 + 15 - 7*a**2. Let t(f) = 2*v(f) - 3*x(f). Find m, given that t(m) = 0.
-2, 6
Let j(w) be the first derivative of 0*w - 21/2*w**2 - w**3 + 37. Solve j(y) = 0 for y.
-7, 0
Let j be (13*23/(-1495))/((-42)/60). Factor -18/7*m + 4 + j*m**2.
2*(m - 7)*(m - 2)/7
Let n(d) = -38*d - 6 - 6*d**3 - 42*d**2 - 9 + 2*d. Let b = 2178 + -2163. Let z(x) = -x**3 - 6*x**2 - 5*x - 2. Let r(o) = b*z(o) - 2*n(o). Factor r(f).
-3*f*(f + 1)**2
Let g be (-80)/(-6)*(-106 + (-70158)/(-660)). Factor 1/4*b**g - 9/4*b**2 + 7/4*b**3 + 2 - 7/4*b.
(b - 1)**2*(b + 1)*(b + 8)/4
Let k(o) be the third derivative of 13/45*o**5 + 169/18*o**4 + 4394/27*o**3 + 0*o + 1/270*o**6 - 3*o**2 - 9. Factor k(q).
4*(q + 13)**3/9
Suppose -67 = -3*u - 7*k + 6*k, 0 = -5*k + 20. Find p, given that 36*p + 35 + u + 4*p**2 + 0 = 0.
-7, -2
Let o(b) be the second derivative of -5/6*b**3 + 126*b + 45/2*b**2 + 1/4*b**5 + 0 - 15/4*b**4. Factor o(h).
5*(h - 9)*(h - 1)*(h + 1)
Let i(g) be the third derivative of -g**5/180 + 95*g**4/12 - 1106*g**2. Determine f, given that i(f) = 0.
0, 570
Let b(p) be the second derivative of -p**7/7 - 17*p**6/15 - p**5 + 271*p + 6. Factor b(s).
-2*s**3*(s + 5)*(3*s + 2)
Let m(h) be the first derivative of h**6/24 - 17*h**5/4 - 43*h**4/8 - 5766. Factor m(g).
g**3*(g - 86)*(g + 1)/4
Let i(r) be the first derivative of -3/10*r**4 + 57 - 9/5*r**3 + 3/5*r**2 + 24/5*r + 3/25*r**5. Suppose i(z) = 0. Calculate z.
-2, -1, 1, 4
Factor -2793/2*p - 1396 - 1/2*p**2.
-(p + 1)*(p + 2792)/2
Let k(r) = -85*r**2 - 765*r - 80. Let x(y) = -35*y**2 - 89 - 27*y**2 - 30*y**2 - 31 - 1151*y - 35*y**2. Let h(d) = -8*k(d) + 5*x(d). Solve h(a) = 0 for a.
-8, -1/9
Let t = 745 - 743. Factor 192*k**3 - 6 - 4*k - 382*k**3 + 18 + 194*k**3 - 12*k**t.
4*(k - 3)*(k - 1)*(k + 1)
Let k(a) be the first derivative of -2/5*a**2 + 16/5*a - 180 - 2/15*a**3. Factor k(m).
-2*(m - 2)*(m + 4)/5
Factor -2221 + 1900 + 81*n + 2*n**2 - 722*n.
(n - 321)*(2*n + 1)
Let n(s) = -s**4 + 9*s**3 + s**2 - 2*s - 1. Let y(p) = 2*p**4 + 84*p**3 - 218*p**2 - 321*p + 3. Let d(a) = -6*n(a) - 2*y(a). Suppose d(z) = 0. Calculate z.
-1, 0, 3, 109
Let a(y) be the first derivative of -8*y + 39/5*y**2 + 163 - 1/10*y**4 - 12/5*y**3. What is h in a(h) = 0?
-20, 1
Let c = -18114 - -18118. Let s(f) be the third derivative of -1/420*f**7 + 1/12*f**3 - 10*f**2 + 0*f - 1/120*f**6 + 0 + 1/24*f**c + 0*f**5. Factor s(o).
-(o - 1)*(o + 1)**3/2
Let o(f) be the first derivative of 38*f**3/3 - 113*f**2 - 12*f + 8792. What is w in o(w) = 0?
-1/19, 6
Let o(w) be the second derivative of w**6/105 + 3*w**5/70 - 10*w**4/21 - 4*w**3 - 80*w**2/7 + 188*w + 2. Factor o(z).
2*(z - 5)*(z + 2)**2*(z + 4)/7
Let b = 286441/15 - 19096. Let z(p) be the second derivative of -2/75*p**6 + 0 + 0*p**3 - 2/25*p**5 - b*p**4 + 0*p**2 + 30*p. Solve z(l) = 0.
-1, 0
Determine h so that 81657*h**3 + 237168*h + 4*h**5 - 981*h**4 - 239115*h**2 - 4*h**5 - 62029 + 3*h**5 - 16703 = 0.
1, 162
Let i(g) be the second derivative of -g**5/480 + g**4/192 - 39*g**2/2 - 47*g. Let h(s) be the first derivative of i(s). Suppose h(u) = 0. Calculate u.
0, 1
Let q be ((-7)/3)/((1/(-42))/1). Let z = -96 + q. What is n in 15*n + 5 + 3*n**2 - 9*n - z = 0?
-1
Suppose -708 = 16*v + 43*v. Let n be 10/(-6) + ((-44)/v - 0). Factor 1/2*r + 0 + 1/4*r**n.
r*(r + 2)/4
Let k(h) be the third derivative of -h**5/90 + 5*h**4/12 - 4*h**3 - 1673*h**2. Solve k(d) = 0.
3, 12
Let z(f) be the first derivative of f**7/84 + 7*f**6/48 - 103*f**2/2 - 131. Let m(l) be the second derivative of z(l). Factor m(o).
5*o**3*(o + 7)/2
Let r(i) be the third derivative of 1/112*i**8 + 1/35*i**7 + 3/8*i**4 + 0*i + 0 - 1/10*i**6 - 1/10*i**5 + 0*i**3 - 32*i**2. Factor r(t).
3*t*(t - 1)**2*(t + 1)*(t + 3)
Factor -184/11*p - 376/11 + 2/11*p**2.
2*(p - 94)*(p + 2)/11
Suppose -11*f + 52 = 15*f. Suppose -f*x + 2 = -2*j, -4*x = -x + 2*j - 8. Find v, given that 6*v - 6 + 2/9*v**3 - x*v**2 = 0.
3
Let c(j) be the second derivative of -j**7/273 - 8*j**6/13 - 1544*j**5/65 + 5120*j**4/13 - 65536*j**3/39 - 4903*j. Factor c(v).
-2*v*(v - 4)**2*(v + 64)**2/13
Let h = 673 + -672. Let t be 7/70*h*28. Suppose -34/5*n + 2/5*n**4 + 34/5*n**2 - t*n**3 + 12/5 = 0. Calculate n.
1, 2, 3
Suppose 5*f - 2 = 4*f - 4*m, 4*f = 5*m + 71. Factor 9*h**2 + 11*h**2 + h**3 + f*h + 86*h.
h*(h + 10)**2
Let w(z) = -z**3 - z**2 + 5*z + 1. Suppose -2 = 9*r + 25. Let i be w(r). Let 21*s**2 - s**2 - 4*s**4 - 2*s**3 - 8*s - 12*s**3 + 2*s**3 + i*s**5 = 0. What is s?
-2, 0, 1
Let w(g) be 