 = 0.
-2, -1, 0
Let n(o) be the third derivative of -1/90*o**6 + 1/36*o**4 + 0*o**7 + 0 + 0*o + 0*o**5 + o**2 + 0*o**3 + 1/504*o**8. Factor n(z).
2*z*(z - 1)**2*(z + 1)**2/3
Let c(p) be the third derivative of -p**7/105 - 121*p**6/30 - 656*p**5 - 137600*p**4/3 - 1024000*p**3/3 + 670*p**2. Find u, given that c(u) = 0.
-80, -2
Let y(d) = 46*d**2 - 1. Let r be y(-1). Let z(w) = w**2 - 11*w + 3. Let s be z(11). Factor 13*a**2 + 56*a - 3*a**3 + 2 + 3*a**2 + 10*a**s - r*a.
(a + 1)**2*(7*a + 2)
Let p = -828299/300 + 2761. Let d(z) be the third derivative of 0 + 0*z + 0*z**3 - p*z**5 - 1/40*z**4 + 10*z**2. Suppose d(n) = 0. Calculate n.
-3, 0
Let n(p) be the third derivative of -p**6/8 + 5*p**5/12 + 55*p**4/24 + 5*p**3/2 + p**2 + 28*p. Suppose n(y) = 0. What is y?
-1, -1/3, 3
Let r(m) be the third derivative of -m**5/6 - 7*m**4/24 - 5*m**2. Let h = -12 + 10. Let w(g) = g**2 + g - 1. Let p(i) = h*w(i) - 2*r(i). Factor p(l).
2*(3*l + 1)**2
Let d be ((-3450)/175)/(5/(-7)). Let x = d - 936/35. Factor 2/7*b - 2/7*b**3 + 6/7 - x*b**2.
-2*(b - 1)*(b + 1)*(b + 3)/7
Let n(o) = 6*o**3 + 12*o**2. Let j(z) = z**3 + z**2. Let u(c) = 14*j(c) - 2*n(c). Factor u(p).
2*p**2*(p - 5)
Let l be (2/3)/((-19)/(-228)). Let r be (-2)/l - (3/6 - 1). Determine v so that r*v**3 + 1/2 - 3/4*v + 0*v**2 = 0.
-2, 1
Suppose -2 = -o - 0. Factor 11*u**2 - 4*u**3 + 9*u**4 - 2*u**3 + 8*u**2 - 28*u**o + 6*u.
3*u*(u - 1)*(u + 1)*(3*u - 2)
Let v(a) be the second derivative of a**6/15 + a**5/2 - 7*a**4/3 + 18*a + 1. Solve v(b) = 0.
-7, 0, 2
Let u be (0/(1 - (-5 + 7)))/5. Solve u*m**2 - 1/3*m**5 + 0*m - 1/3*m**3 + 0 + 2/3*m**4 = 0 for m.
0, 1
Let o(y) = -3*y**2 - 19*y - 15. Let a be o(-5). Solve 3*z**4 + 9/5*z**a - 21/5*z**3 + 12/5 - 27/5*z**2 + 12/5*z = 0 for z.
-2, -1, -2/3, 1
Let g(h) be the second derivative of -h**6/180 - h**5/30 + h**4/4 + 3*h**3 - 12*h. Let w(k) be the second derivative of g(k). Suppose w(y) = 0. What is y?
-3, 1
Let v(g) be the second derivative of 0 + 2*g + 1/30*g**4 + 1/15*g**3 + g**2 + 1/150*g**5. Let n(z) be the first derivative of v(z). Solve n(a) = 0 for a.
-1
Suppose 20 = 4*i, 4*h = 9*h + 3*i - 35. Suppose 8 = -2*r + 4*r. Factor t**4 + 7*t**4 - r*t**2 - h*t**4.
4*t**2*(t - 1)*(t + 1)
Let d(c) be the third derivative of -c**5/20 + 31*c**4 - 7688*c**3 - 220*c**2. Factor d(m).
-3*(m - 124)**2
Let v(k) = -9*k**3 - 5*k**2 - 2*k - 2. Let g be v(-1). Factor 5/3*h**g - h**5 + 0 + 0*h + 0*h**2 - 2/3*h**3.
-h**3*(h - 1)*(3*h - 2)/3
Suppose 0*i - 4*i = 0. Suppose i = 2*a - a. What is h in a*h**2 - 12*h**2 - 3*h**3 - 5*h**3 + 4*h**3 = 0?
-3, 0
Let c(s) = 331*s**2 - 22*s + 9. Let b be c(7). Factor -16074 + m**3 + b.
m**3
Let o(f) = -f + 13. Let m be o(8). Factor 3*s - s**m + 6*s**2 - 6*s**4 + s**5 + 2*s**5 - 5*s**5.
-3*s*(s - 1)*(s + 1)**3
Let i(j) be the second derivative of j**4/48 + j**3/12 - 63*j. Factor i(l).
l*(l + 2)/4
Let k = 2 - 0. Let p be (4/(-5))/((-3472)/1085). Solve p*a**k + 0 - a = 0.
0, 4
What is d in -5*d**4 + 173*d + 20*d**2 + 151*d - 15*d**3 - 264*d = 0?
-3, -2, 0, 2
Solve -1/3*v**2 + 26*v - 77/3 = 0 for v.
1, 77
Factor -93/5*t**2 - 135 - 3/5*t**3 - 153*t.
-3*(t + 1)*(t + 15)**2/5
Suppose 4 - 144 = -28*y. Let v(n) be the first derivative of 0*n + 2/21*n**3 - 1 - 1/14*n**4 + 1/7*n**2 - 2/35*n**y. Factor v(w).
-2*w*(w - 1)*(w + 1)**2/7
Let u be (-18)/42*175/(-60). Let l = -8 + 33/4. Factor 0 + 3/4*n**3 + 1/4*n**4 - u*n**2 + 1/2*n - l*n**5.
-n*(n - 1)**3*(n + 2)/4
Let l(x) = 9*x + 47. Let k be l(-5). Suppose -k*u = u. Factor u + 4/5*d - 2/5*d**3 + 2/5*d**2.
-2*d*(d - 2)*(d + 1)/5
Let b(k) be the first derivative of 2*k**3/15 - 21*k**2/5 + 333. Factor b(z).
2*z*(z - 21)/5
Suppose 3/7*h**5 - 81/7*h**2 + 9/7*h**4 - 36/7 - 15/7*h**3 - 96/7*h = 0. What is h?
-2, -1, 3
Let y(c) be the first derivative of 2312*c**3/3 + 34*c**2 + c/2 + 270. Solve y(v) = 0 for v.
-1/68
Let x(m) = m**3 - 2*m**2 - 43*m + 59. Let c be x(7). Find w such that -2/5*w**2 + 6/5*w**4 + 8/5*w**c - 9/5*w + 1/5*w**5 - 4/5 = 0.
-4, -1, 1
Let l(k) be the second derivative of 21*k**5/4 - 59*k**4/4 + 14*k**3 - 6*k**2 - 162*k. Factor l(y).
3*(y - 1)*(5*y - 2)*(7*y - 2)
Let i = -5513/56 + 697/7. Determine q so that 3/2*q - 3/4*q**3 - 3/8*q**4 + i*q**2 - 3/2 = 0.
-2, 1
Let l(s) be the second derivative of -s + 11/48*s**4 + 0*s**2 - 11/120*s**6 - 3/80*s**5 + 5/168*s**7 - 1/12*s**3 - 23. Suppose l(x) = 0. Calculate x.
-1, 0, 1/5, 1, 2
Let l(s) = -4*s**2 - 15*s - 10. Let d(z) = z**2 + z - 1. Let q(c) = -3*d(c) - l(c). Let x be q(-11). Factor 3*a**4 - 9*a**4 + x*a**3 + 3*a**2 + a**2.
-2*a**2*(a - 1)*(3*a + 2)
Suppose -616 = 3*u + u. Let a = u + 466/3. Solve 4/3*t**4 + 0 - 2/3*t - a*t**2 + 2/3*t**5 + 0*t**3 = 0.
-1, 0, 1
Let a(r) = -19*r**2 + 316*r - 97. Let p(g) = 5*g**2 - 79*g + 24. Let v(d) = 2*a(d) + 9*p(d). Factor v(q).
(q - 11)*(7*q - 2)
Let p(w) = -4*w + 31. Let i be p(7). Let z(d) be the second derivative of -d**2 - 1/6*d**i + 1/6*d**4 + 1/20*d**5 - 2*d + 0. Factor z(b).
(b - 1)*(b + 1)*(b + 2)
Suppose -5*r + 18 = -c, 3*c - 5*c - 5*r + 24 = 0. Suppose -v - c*v - 4*l - 2 = 0, -3*v + 4*l = -14. Factor -2/7*h + 2/7*h**v - 4/7.
2*(h - 2)*(h + 1)/7
Let x(i) = -7*i**4 - 9*i**3 - 9*i**2 - 15*i - 4. Let m(b) = -22*b**4 - 27*b**3 - 27*b**2 - 48*b - 13. Let l(v) = -4*m(v) + 13*x(v). Find o such that l(o) = 0.
-1, 0
Let f(t) = 11*t**3 - 41*t**2 + 13*t. Let z(i) = 12*i**3 - 40*i**2 + 12*i. Let g(h) = -4*f(h) + 5*z(h). Find v, given that g(v) = 0.
0, 1/4, 2
Let n = 3 - 1. Let 12*g**n - 18*g**2 + 4*g**2 + 6*g**2 = 0. Calculate g.
0
What is i in 21*i**2 - i**3 + 34*i**2 - 66*i**2 + 9*i**5 + 99*i**4 = 0?
-11, -1/3, 0, 1/3
Let a(b) be the second derivative of 0*b**3 + 0 + 8*b + 0*b**2 + 1/12*b**4 + 1/10*b**6 - 1/42*b**7 - 3/20*b**5. Suppose a(m) = 0. Calculate m.
0, 1
Let b(a) be the second derivative of -1/84*a**4 - 4*a + 0*a**2 + 1/21*a**3 - 1/140*a**5 + 0. Solve b(p) = 0 for p.
-2, 0, 1
Solve 5/8*i**3 + 69/8*i**2 - 49 - 1/8*i**4 - 329/8*i = 0.
-8, -1, 7
Let g be (-6)/1 - (-80)/8. Let m(x) be the first derivative of 4 - 8*x - 2/3*x**3 - g*x**2. Find o, given that m(o) = 0.
-2
Let k(j) be the third derivative of j**9/20160 + j**8/1344 + j**7/240 + j**6/80 - j**5/5 + 6*j**2. Let q(r) be the third derivative of k(r). Factor q(v).
3*(v + 1)**2*(v + 3)
Let m(s) be the first derivative of -9*s**4/8 - 13*s**3 - 111*s**2/4 - 21*s - 174. Factor m(a).
-3*(a + 1)*(a + 7)*(3*a + 2)/2
Let q = 179 - 146. Let t = 3 - 0. Factor 7*d**5 + 9*d**4 + 7*d**3 + 15*d**t + 13*d**3 - q*d**3.
d**3*(d + 1)*(7*d + 2)
Let h be (1/3 + (-1)/3)/(-1). Let b(u) be the second derivative of 0*u**3 + 0*u**2 + h + 1/80*u**5 + u - 1/48*u**4. Factor b(i).
i**2*(i - 1)/4
Let c(o) be the second derivative of -o**7/126 - o**6/2 - 44*o**5/5 - 121*o**4/9 - 196*o. Factor c(f).
-f**2*(f + 1)*(f + 22)**2/3
Suppose 6*i + 0*i + 4*i**3 - 13*i - 9*i = 0. Calculate i.
-2, 0, 2
Let p(b) be the first derivative of 20*b**2 - 20/3*b**3 + 9*b**6 + 0*b**5 + 19 + 16*b - 45/2*b**4. Let p(g) = 0. Calculate g.
-2/3, 1
Let j = 13 - 13. Factor j - 16*c + 0 + c**2 + 14*c.
c*(c - 2)
Let v be (-1)/((-5)/6510) - 4. Let j = v + -6436/5. Solve -j*i**2 - 1/5*i**4 + 12/5*i**3 + 108/5*i - 81/5 = 0 for i.
3
Let o(q) = -5*q**3 - 23*q**2 - 9*q - 3. Let m(r) = 6*r**3 + 24*r**2 + 8*r + 2. Let d(k) = 3*m(k) + 2*o(k). Factor d(v).
2*v*(v + 3)*(4*v + 1)
Factor 95*n - 44*n + n**2 - 56 - 52*n.
(n - 8)*(n + 7)
Let v = -54713/3 - -18067. Let i = v + 174. Find r such that 4/3*r**2 - 8/3*r**4 + 2/3*r**5 - i*r + 8/3*r**3 + 4/3 = 0.
-1, 1, 2
Suppose 15*s - 10 = 10*s. Solve z + 2*z**2 + 9*z**2 - 8*z**s - 10*z = 0 for z.
0, 3
Let h(p) be the third derivative of 0 - 1/630*p**7 - 1/18*p**3 + 0*p + 0*p**4 + 1/90*p**5 + 0*p**6 + 24*p**2. What is d in h(d) = 0?
-1, 1
Let l(z) = -z**2 - z - 1. Let y(t) = t**2 - t. Let h(f) = 15*f**2 + f + 5. Let r(i) = -h(i) + 6*y(i). Let s(n) = 14*l(n) - 2*r(n). Solve s(k) = 0.
-1, 1
Let q(g) be the first derivative of -25 - 1/10*g**2 + 1/15*g**3 - 2/5*g. Find r such that q(r) = 0.
-1, 2
Let z(p) be the third derivative of 0 - 9/5*p**5 - 25/112*p**8 + 13/20*p**6 + 0*p - p**2 + p**4 + 9/14*p**7 + 0*p**3. Determine y, given that z(y) = 0.
-1, 0, 2/5, 2
Let d(k) = -6*k**2 + 23*k - 225. Let s(u) = u**2 - 8*u + 75. Let q(y) = -2*d(y) - 7*s(y). Solve q(l) = 0 for l.
-5, 3
Let y