*r**5 - 1/1344*r**8 - 1/96*r**6 + 0*r**v + 0*r + 0. Solve n(l) = 0.
-2, -1, 0
Let k(y) be the second derivative of -y**5/5 - y**4/3 + 4*y**3/3 + 27*y. Suppose k(b) = 0. Calculate b.
-2, 0, 1
Let u(t) be the first derivative of -2 + 1/2*t**4 - t**2 + 0*t - 2/5*t**5 + 2/3*t**3. Find a such that u(a) = 0.
-1, 0, 1
Find p, given that 21*p - 183 + p**3 + 8*p**2 + 110 + 91 = 0.
-3, -2
Let v(m) be the third derivative of m**7/2520 - m**6/270 + m**5/72 - m**4/36 - m**3/3 + m**2. Let j(o) be the first derivative of v(o). Factor j(i).
(i - 2)*(i - 1)**2/3
Let p(a) be the first derivative of a**4 + 8*a**3/3 - 51. Factor p(c).
4*c**2*(c + 2)
Suppose -n + 5*n - a = 19, 4*n - 5*a - 15 = 0. Let d = n - 2. What is j in -3*j**3 - j**d - 2*j**2 - 5*j**4 + 3*j**4 = 0?
-1, 0
Let g(l) be the first derivative of -l**6/2 + 3*l**4 + 2*l**3 - 9*l**2/2 - 6*l - 1. Factor g(k).
-3*(k - 2)*(k - 1)*(k + 1)**3
Let d(w) be the third derivative of -w**5/240 + w**4/48 - w**3/24 + 5*w**2. Factor d(z).
-(z - 1)**2/4
Let z = 5 - 10. Let d(n) = -1. Let i(f) = 18*f**2 - 27*f + 15. Let t(a) = -6*d(a) - i(a). Let c(p) = 9*p**2 - 14*p + 5. Let r(b) = z*c(b) - 3*t(b). Factor r(s).
(s - 1)*(9*s - 2)
Let y(s) be the second derivative of -2/21*s**3 + 5*s - 1/140*s**5 + 0 - 1/21*s**4 + 0*s**2. Factor y(k).
-k*(k + 2)**2/7
Let f(l) be the third derivative of l**4 + 0*l + 4/3*l**3 + l**2 - 7/30*l**5 + 0. Factor f(w).
-2*(w - 2)*(7*w + 2)
Let u(d) be the second derivative of -d**6/15 - d**5/10 + d**4/6 + d**3/3 - 3*d. Factor u(n).
-2*n*(n - 1)*(n + 1)**2
Factor -3/2*s**3 - 3/2*s**2 + 3/2*s + 3/2.
-3*(s - 1)*(s + 1)**2/2
Let a(l) be the third derivative of -l**7/1050 + l**6/200 - l**5/100 + l**4/120 + l**2. Determine g, given that a(g) = 0.
0, 1
Let h(q) = q**5 - q**2 - q - 1. Let n(f) = 6*f**5 + 9*f**4 - 15*f**2 - 3*f - 3. Let g(w) = 3*h(w) - n(w). Factor g(t).
-3*t**2*(t - 1)*(t + 2)**2
Let y(f) be the first derivative of -f**7/1960 + f**6/280 - 3*f**5/280 + f**4/56 + 2*f**3/3 + 3. Let l(d) be the third derivative of y(d). Factor l(i).
-3*(i - 1)**3/7
Let l(p) = -3*p + 3. Let a be l(0). Let t(n) be the second derivative of 1/3*n**a - 1/3*n**4 - 2*n + 0*n**2 + 0 + 1/10*n**5. Factor t(q).
2*q*(q - 1)**2
Let y(v) = 17*v**3 - 32*v**2 + 23*v - 8. Let i(c) = 84*c**3 - 160*c**2 + 116*c - 40. Let d(n) = -5*i(n) + 24*y(n). Solve d(k) = 0 for k.
2/3, 1
Suppose -4*d = -5*d + 5. Suppose d*x = x. Factor 0 - 1/4*h**2 + x*h - 1/4*h**3.
-h**2*(h + 1)/4
Factor 2*b**3 + 2*b**4 + b - 3*b - 4*b**2 + 2*b**2.
2*b*(b - 1)*(b + 1)**2
Let r(c) be the third derivative of c**6/1260 - c**5/210 + c**3/2 - 3*c**2. Let k(h) be the first derivative of r(h). Find l, given that k(l) = 0.
0, 2
Find u such that 2/5*u**4 + 72/5*u**2 + 54/5 - 4*u**3 - 108/5*u = 0.
1, 3
Let k(i) be the first derivative of -1/3*i**3 - i + i**2 + 3. Suppose k(d) = 0. What is d?
1
Factor 32 - 95*m + 40*m**2 + 18 + 71*m**3 - 66*m**3.
5*(m - 1)**2*(m + 10)
Let w(n) be the second derivative of 1/36*n**4 + 8*n + 1/60*n**5 + 0 + 1/54*n**3 + 1/270*n**6 + 0*n**2. Factor w(f).
f*(f + 1)**3/9
Factor 0 + 2/5*k**3 + 2/5*k - 4/5*k**2.
2*k*(k - 1)**2/5
Let n(q) be the first derivative of 2*q**3/39 - 8*q**2/13 + 32*q/13 + 22. Find j such that n(j) = 0.
4
Factor -3/2*s**4 - 24*s**2 + 21/2*s**3 + 18*s + 0.
-3*s*(s - 3)*(s - 2)**2/2
Let d be 14142/24 + 2/(-8). Let g = -1147/2 + d. Determine q, given that g*q**2 - 4*q - 2 + 35/2*q**3 = 0.
-1, -2/7, 2/5
Let t(z) be the first derivative of z**5/20 + 3*z**4/8 + z**3 + z**2 + 1. Factor t(k).
k*(k + 2)**3/4
Let f(z) = z**2 - 2*z - 18. Let s be f(6). Let p(l) be the first derivative of 2*l + l**4 - 4/3*l**3 + 2 - l**2 + 2/5*l**5 - 1/3*l**s. Factor p(j).
-2*(j - 1)**3*(j + 1)**2
Let g = -13 + 16. Let u(n) be the first derivative of -2 + 0*n + n**2 + 2/3*n**g. Suppose u(y) = 0. What is y?
-1, 0
Factor -5*f + 21*f - 6*f**2 + 13*f**2 - 3*f**2.
4*f*(f + 4)
Let y(n) = n - 7. Let g be y(7). Suppose g = 4*q - 9*q. Factor q + 1/2*r**2 - 1/2*r.
r*(r - 1)/2
Suppose 0 = -k + 2. Factor 4*o**2 - 4*o**2 - 2 + o**k + o.
(o - 1)*(o + 2)
Let i(h) be the first derivative of h**5/10 - 3*h**4/8 + h**3/2 - h**2/4 - 8. Factor i(n).
n*(n - 1)**3/2
Suppose 14 = 4*y - 4*v - 6, -4*v - 20 = 2*y. Factor y*r + 0 - 1/3*r**3 + 1/3*r**2.
-r**2*(r - 1)/3
Solve 0 + 0*h + 0*h**2 - 2/11*h**3 = 0 for h.
0
Factor 1/2*d**2 + 1/3*d + 1/6*d**3 + 0.
d*(d + 1)*(d + 2)/6
Let q = -929 - -931. What is t in -14/5*t**3 - 102/5*t - 16*t**q + 36/5 = 0?
-3, 2/7
Let g = 7 - 10. Let s(l) = l + 5. Let h be s(g). Let 2*m - 2 - m**2 - m**h + 0*m**2 + 2*m = 0. Calculate m.
1
Let f(l) be the second derivative of l**5/12 - l**4/6 + l**3/18 - 2*l. Factor f(d).
d*(d - 1)*(5*d - 1)/3
Let y(u) = 2*u**2 - 3*u - 2. Suppose 0 = -8*v + 4*v - 4. Let z(d) = -d**2 + d + 1. Let k(a) = v*y(a) - 3*z(a). Factor k(x).
(x - 1)*(x + 1)
Let t(u) be the third derivative of u**6/12 - 7*u**5/120 - 11*u**4/48 - u**3/6 - 6*u**2. Factor t(g).
(g - 1)*(4*g + 1)*(5*g + 2)/2
Let l(h) be the first derivative of 0*h + 0*h**5 + 0*h**3 - 1/13*h**4 + 1/39*h**6 + 1/13*h**2 + 4. Determine q, given that l(q) = 0.
-1, 0, 1
Let r(q) be the third derivative of q**6/140 + q**5/105 - q**4/12 + 2*q**3/21 - 4*q**2. Factor r(i).
2*(i - 1)*(i + 2)*(3*i - 1)/7
Factor 7*n**3 + 4*n - n + 7*n - 15*n**2 - 2*n**3.
5*n*(n - 2)*(n - 1)
Let n be 3/5*(5/45 + 1). Let w(r) be the first derivative of 1 + r**2 - 4/9*r**3 - n*r. Factor w(f).
-2*(f - 1)*(2*f - 1)/3
Let b(m) = -7*m**2 + 13*m + 6. Let c be b(10). Let t = -5062/9 - c. What is u in 2*u**3 - 10/9*u**2 - t*u**5 + 0 + 10/9*u**4 - 4/9*u = 0?
-1, -2/7, 0, 1
Let s(k) = 2*k**3 - 3*k**2 + k. Let z(w) = -4*w**3 + 7*w**2 - 3*w. Let q(y) = -10*s(y) - 6*z(y). Suppose q(x) = 0. Calculate x.
0, 1, 2
Let d(j) be the first derivative of -3*j**4/4 - 2*j**3 + 3*j**2/2 + 6*j - 8. Determine t, given that d(t) = 0.
-2, -1, 1
Let b(i) = i**4 + i**2 - i - 1. Let j(y) = -3*y**4 - 5*y**3 - 5*y**2 + 1. Let t(x) = x - 6. Let w be t(5). Let d(o) = w*b(o) - j(o). Let d(q) = 0. Calculate q.
-1, -1/2, 0
Let n = 191/2 + -95. Suppose 1/4*x**2 - 1/4*x + n*x**3 + 0 = 0. What is x?
-1, 0, 1/2
Let t = -304 - -306. Factor -1/2*d + 1/2*d**t - 1.
(d - 2)*(d + 1)/2
Let f = 15/4 + -339/52. Let g = f - -212/39. Determine n so that -10/3*n + g*n**5 - 16/3*n**4 + 2/3 + 2/3*n**3 + 14/3*n**2 = 0.
-1, 1/2, 1
Let i(s) be the first derivative of s**4/4 - 5*s**3/3 + 5*s**2/2 - s - 2. Let k be i(4). Let 2*j**2 - k + 4*j - 1 + 2*j + 2*j**4 - 6*j**3 = 0. What is j?
-1, 1, 2
Let u(l) be the second derivative of -5*l**7/21 + 7*l**6/6 - 5*l**5/4 - 25*l**4/12 + 35*l**3/6 - 5*l**2 - 32*l. Solve u(w) = 0.
-1, 1/2, 1, 2
Let b(u) be the third derivative of u**6/360 - u**5/180 + 7*u**2. Factor b(y).
y**2*(y - 1)/3
Let i be (18/(-4))/(6*(-2)/4). Let o(k) be the first derivative of 3*k - k**3 - 3/4*k**4 + 1 + i*k**2. Solve o(b) = 0 for b.
-1, 1
Let p = -23759/48 + 495. Let l(x) be the third derivative of 0 + 2*x**2 + 0*x + 0*x**3 + 1/120*x**5 + p*x**4. Factor l(j).
j*(j + 1)/2
Suppose -2*v + 0*v + 5*k = 21, -5*v = -5*k + 15. Factor v*c**2 - 1 + 1 - 2*c**4 - 2*c**5 + 2*c**3.
-2*c**2*(c - 1)*(c + 1)**2
Suppose 3*r + 0*r + 6 = 0, -v - 2*r - 1 = 0. Let o(y) be the first derivative of 0*y - 2 - 7/2*y**v + 3/2*y**2. Let o(w) = 0. Calculate w.
0, 2/7
Let a(d) be the third derivative of d**5/20 - d**4/8 - d**3 + 7*d**2. Determine p so that a(p) = 0.
-1, 2
Let u(h) = 4*h - 34. Let g be u(9). Let 1/3*o**4 + 0 + 0*o - 1/3*o**g + 1/3*o**3 - 1/3*o**5 = 0. What is o?
-1, 0, 1
Let g be (19/(-12))/(3/(-12)). Let y = 7 - g. Factor -2/3 - y*v**2 + 4/3*v.
-2*(v - 1)**2/3
Let d(f) = -f + 10. Let a be d(7). Determine w, given that 2*w**4 - 2*w**3 - 2*w**2 + 0*w**3 + 2*w**5 - w**a + w**3 = 0.
-1, 0, 1
Let o = -909/5 - -183. Let -1/5 - 9/5*w**2 - o*w = 0. What is w?
-1/3
Suppose 11 = -3*o + 5*b + 1, 4*o = 4*b. Let v = -2 + o. Determine p, given that -2*p**3 - 7*p**5 + p**4 + 5*p**5 + v*p**4 = 0.
0, 1
Let b be (-20)/((1269/15)/(-3)). Let l = b - 2/47. Suppose 2/3*o + l*o**4 + 2*o**3 + 0 + 2*o**2 = 0. Calculate o.
-1, 0
Let t(z) = -z**2 + 14*z - 11. Let f be t(13). Let w(i) be the second derivative of 1/18*i**4 + 0 - 1/3*i**f + 0*i**3 + 3*i. Factor w(a).
2*(a - 1)*(a + 1)/3
Let v be -3 + (-95)/(-28) + 7/(-49). Find x such that -v*x**4 + 0*x**3 + 0 - x**5 + 0*x +