6/3.
-(q - 32)*(q + 1)/6
Let k(h) be the third derivative of -11*h**2 + 0*h + 0 + 1/210*h**8 + 0*h**5 + 0*h**4 - 1/525*h**7 + 0*h**3 + 0*h**6. Suppose k(p) = 0. What is p?
0, 1/4
Suppose 0 = -5*n + 6*n - 3. Suppose n*q - 18 = -0*q. Let r(c) = 5*c**2 + 4*c + 2. Let h(o) = -o**2 - 1. Let v(p) = q*h(p) + r(p). Factor v(u).
-(u - 2)**2
Let q(o) = o**2 + 5*o - 49. Let z be q(5). Let l be (z + -1)*-1 - (-15 + 15). Factor 2/9*y**5 + l + 2/9*y**3 + 0*y**2 + 4/9*y**4 + 0*y.
2*y**3*(y + 1)**2/9
Let p(k) be the third derivative of -5*k**8/336 + 59*k**7/630 + 7*k**6/120 - 67*k**5/180 - k**4/12 + 4*k**3/9 - 2*k**2 + 83. Determine b, given that p(b) = 0.
-1, -2/5, 1/3, 1, 4
Suppose -q - 5*v = -2*v - 11, 5*v - 5 = 5*q. Factor 3 - 24 - 24 - 30*b - 5*b**q.
-5*(b + 3)**2
Let 40*u**2 - 21*u**3 - 30 - 55*u + 27*u**3 - 11*u**3 - 70 = 0. Calculate u.
-1, 4, 5
Let n(c) = 3*c**2 - 10*c - 5. Let b(g) = 20*g**2 - 61*g - 29. Let f(m) = -6*b(m) + 39*n(m). What is u in f(u) = 0?
-7, -1
Let y(n) be the second derivative of 2/3*n**6 - 13*n - 5/4*n**5 + 0*n**3 + 0*n**2 - 5/42*n**7 + 5/6*n**4 + 0. Factor y(b).
-5*b**2*(b - 2)*(b - 1)**2
What is i in -3/2*i**2 - 18 - 39/2*i = 0?
-12, -1
Let n be ((-7)/525)/(9/(-15)). Let b = n - -7/9. Factor 8*z + 20 + b*z**2.
4*(z + 5)**2/5
Suppose 2*p + p - 4*f + 8 = 0, -2*p - 2*f = -18. Let t(c) be the second derivative of 0 + 7/50*c**5 - 2/15*c**3 + 0*c**2 - 1/6*c**4 + p*c. Factor t(k).
2*k*(k - 1)*(7*k + 2)/5
Let m(z) = z**3 - 6*z**2 + 3*z + 13. Let c be m(5). Let o(g) be the first derivative of -27/2*g**2 - 27/4*g**4 + 9 + 6*g + 6/5*g**5 + 14*g**c. Factor o(k).
3*(k - 2)*(k - 1)**2*(2*k - 1)
Let o(k) be the first derivative of k**5/30 - k**4/4 + 2*k**3/3 + 13*k**2/2 + 12. Let t(y) be the second derivative of o(y). Factor t(w).
2*(w - 2)*(w - 1)
Suppose 0 = -v + 74 - 29. What is b in 180*b**2 - 19 - 76*b**3 - v*b**4 - 40*b + 35*b**5 + 19 - 54*b**3 = 0?
-2, 0, 2/7, 1, 2
Factor 0 - 3/4*k**2 + 15*k.
-3*k*(k - 20)/4
Let r be (-37)/(-3) - (0 - 85/(-51)). Find w, given that 112/3*w + 4/3*w**5 - 32/3 - 152/3*w**2 + 100/3*w**3 - r*w**4 = 0.
1, 2
Let s(y) be the third derivative of y**8/1008 + 2*y**7/315 - 11*y**6/360 + y**5/30 - 5*y**2. Determine l so that s(l) = 0.
-6, 0, 1
Suppose 205*r + 5 = 210*r. Let l(i) be the first derivative of -6/7*i**2 + 18/7*i + r + 2/21*i**3. Factor l(g).
2*(g - 3)**2/7
Factor -2/3*l**3 - 344/3*l - 92/3*l**2 - 112.
-2*(l + 2)**2*(l + 42)/3
Factor -19/6*i + 19/6*i**3 + 1/3 - 1/3*i**2.
(i - 1)*(i + 1)*(19*i - 2)/6
Let u(l) be the first derivative of 8*l**3/3 + 7*l**2/2 - l + 94. Suppose u(f) = 0. What is f?
-1, 1/8
Let v(j) be the first derivative of 4/11*j**2 + 2/33*j**3 - 12 + 0*j. Factor v(y).
2*y*(y + 4)/11
Let i(k) be the second derivative of -k**7/420 - k**6/45 - k**5/15 + k**3 - 28*k. Let q(c) be the second derivative of i(c). Suppose q(a) = 0. What is a?
-2, 0
Factor -2/3*d**3 + 6*d**2 + 14*d + 22/3.
-2*(d - 11)*(d + 1)**2/3
Let d(q) be the second derivative of q**4/78 - 4*q**3/13 + 36*q**2/13 - 18*q - 4. Factor d(o).
2*(o - 6)**2/13
Let l(s) be the third derivative of -s**3 - 1/20*s**5 - s**2 + 3/8*s**4 + 0*s + 0. Factor l(m).
-3*(m - 2)*(m - 1)
Let l(n) be the first derivative of -2*n**3/9 + n**2 + 8*n/3 - 94. Factor l(y).
-2*(y - 4)*(y + 1)/3
Let r(s) be the second derivative of s**5/110 + 5*s**4/22 - 408*s. Let r(h) = 0. Calculate h.
-15, 0
Factor -128/7*w + 32/7*w**2 + 72/7*w**3 + 22/7*w**4 + 0 + 2/7*w**5.
2*w*(w - 1)*(w + 4)**3/7
Let a be (-3)/((-1)/(-189)*3). Let d be (-6)/a*7*(0 + 3). Determine o, given that -d*o**2 + 2/3*o + 0 = 0.
0, 1
Suppose -30 = 5*b - 5*n, -3*b - 539*n = -543*n + 24. Factor 2/17*d + 2/17*d**2 + b.
2*d*(d + 1)/17
Let o(q) be the first derivative of 4*q**5/5 + 7*q**4 + 20*q**3/3 - 14*q**2 - 24*q + 87. Find i such that o(i) = 0.
-6, -1, 1
Let l(d) be the third derivative of 47*d**6/270 + d**5/90 - 34*d**2 + 12. Factor l(q).
2*q**2*(94*q + 3)/9
Solve 1/3*f**2 + 0 + 17*f = 0.
-51, 0
Suppose 2*w**2 + 24*w**2 - 48 - 10*w**4 + w**4 + 12*w**3 + w**5 + 22*w**2 - 4*w**5 = 0. What is w?
-2, 1, 2
Solve 1411 - 659 + 2*o**2 + 841*o + 706 - 733*o = 0 for o.
-27
Let q be 10/18*((-18)/(-45))/1. Determine c, given that -8/9*c - 10/9*c**3 + 0 + q*c**4 + 16/9*c**2 = 0.
0, 1, 2
Factor -3/5*z**5 - 15*z**2 - 21/5*z**4 - 57/5*z**3 - 48/5*z - 12/5.
-3*(z + 1)**3*(z + 2)**2/5
Find u such that -12*u**3 - 6/5*u**2 + 3/5*u**5 - 24/5*u**4 + 6 + 57/5*u = 0.
-1, 1, 10
Suppose 14*n = 4*q + 18*n - 16, 5*q + 3*n = 12. Suppose q + 3/5*b**3 + 0*b**2 + 0*b - 3/5*b**4 = 0. What is b?
0, 1
Let k = -2151/28 - -1377/70. Let f = k - -307/5. Find i such that -f*i**4 + 0 + 15/2*i**3 + 3/4*i**5 - 2*i - 3*i**2 = 0.
-1/3, 0, 2
Let h be 3/6 - (-615)/(-6). Let r be (-1*3)/9 - h/198. Factor -r*o**2 + 2/11*o**5 + 2/11*o**4 - 2/11*o**3 + 0 + 0*o.
2*o**2*(o - 1)*(o + 1)**2/11
Let -6*g**3 - 175*g**5 + g + 341*g**5 + 13*g**4 + g + 11*g**2 + 25*g**3 - 163*g**5 = 0. Calculate g.
-2, -1, -1/3, 0
Solve -2/7*o**2 - 124/7 - 66/7*o = 0.
-31, -2
Let o be (-3*3)/(3/(-8)*-1). Let g(l) = -l**3 - 23*l**2 + 24*l + 2. Let j be g(o). Factor -4/13*s + 2/13 + 2/13*s**j.
2*(s - 1)**2/13
Let m(k) be the third derivative of -k**5/40 + 3*k**4/16 + 9*k**3/2 - 2*k**2 - 28. Factor m(x).
-3*(x - 6)*(x + 3)/2
Suppose -8*d = -s - 11*d + 11, -s + 17 = 5*d. Suppose -3*u + 7 = 2*l, 0 = -2*l + 6*l - u - 21. Factor 2*j**4 + 12*j - j**4 - 20*j**s - 2*j**4 + l*j**4 + 4*j**3.
4*j*(j - 1)**2*(j + 3)
Factor -20*y**3 - 124*y**3 + 84*y**2 - 8*y - 4*y**4 + 72*y**4.
4*y*(y - 1)**2*(17*y - 2)
Let o(s) = s**2 + s - 1. Let m(d) = -3*d**2 + 6. Suppose -2 = -2*q + f - 3*f, 0 = -3*q - 4*f + 3. Let v(y) = q*m(y) + 6*o(y). Let v(a) = 0. What is a?
-2, 0
Let l = -2/95 + -2369/285. Let q = -71/15 - l. Factor -4/5*d**5 - 14/5*d**4 - 2/5*d - 2*d**2 - q*d**3 + 0.
-2*d*(d + 1)**3*(2*d + 1)/5
Suppose -5*h - 2*m = -16, 0*m + 3*m - 14 = -5*h. Suppose -4*y + 6*y**h - 6*y**2 - 2*y**3 + 15*y - 9*y = 0. Calculate y.
-1, 0, 1/3, 1
Let m(q) = q + 1. Let h(a) = -2*a**2 - 8*a - 9. Let n(v) = 2*h(v) + 18*m(v). Let w(p) = p**2 - p. Let d(i) = -n(i) - 3*w(i). Factor d(t).
t*(t + 1)
Let c(i) = i**2 - 28*i + 25. Let h be c(27). Let p be h/(2*(-9)/(-60)*-2). Suppose 2/3*f**3 + 8/3 + p*f**2 + 16/3*f = 0. What is f?
-2, -1
Let b be (-5)/(-5) + (1 - -1). Factor 10*n - 56*n**3 - 18*n**2 + 2 - 2 + 2*n**4 + 62*n**b.
2*n*(n - 1)**2*(n + 5)
Suppose 4*q - 2*i = 22, -4*q - 5*i + i = -28. Suppose -q - 2 = -4*k. Factor 0*w + 1/5*w**3 + 0 + 0*w**k + 4/5*w**5 - w**4.
w**3*(w - 1)*(4*w - 1)/5
Let n(d) be the third derivative of -392*d**5/45 - 14*d**4/3 - d**3 - 17*d**2 - 2*d. Factor n(r).
-2*(28*r + 3)**2/3
Suppose -4*s + 2 = -10. Let l(o) be the third derivative of 0*o**s - 1/60*o**4 - 1/75*o**5 + o**2 + 0 + 0*o - 1/300*o**6. Factor l(d).
-2*d*(d + 1)**2/5
Let u = 12 - 9. Let o = 4 + -1. Solve -3*k**3 - k + 3*k**2 + 0*k**4 - u*k**4 + 9*k**5 - 12*k**o + 7*k = 0 for k.
-1, -2/3, 0, 1
Let z(o) = 5*o**5 + 19*o**4 + 38*o**3 + 15*o**2 - 3. Let l(c) = 4*c**5 + 20*c**4 + 38*c**3 + 16*c**2 - 2. Let n(i) = -3*l(i) + 2*z(i). Factor n(t).
-2*t**2*(t + 1)**2*(t + 9)
Let q be (-273)/72 - (-4)/(-3). Let t = q - -21/4. Factor 2 + t*c**2 + c.
(c + 4)**2/8
Factor 130*f - 5/3*f**2 - 385/3.
-5*(f - 77)*(f - 1)/3
Let t(d) be the first derivative of -d**5/190 + d**3/57 - d + 27. Let x(j) be the first derivative of t(j). Factor x(i).
-2*i*(i - 1)*(i + 1)/19
Let q(d) be the third derivative of -d**6/120 + 3*d**5/20 - 23*d**4/24 + 5*d**3/2 - 14*d**2 - 7*d. Factor q(z).
-(z - 5)*(z - 3)*(z - 1)
Factor 0 - 4/15*l**2 + 14/15*l.
-2*l*(2*l - 7)/15
Let a = 880 + -880. Solve 0 + 8/5*i**2 - 28/5*i**3 + 12/5*i**4 + a*i = 0.
0, 1/3, 2
Let v(r) be the second derivative of 0 - 12*r - 1/14*r**5 + 3/7*r**2 + 13/42*r**4 - 11/21*r**3. Factor v(j).
-2*(j - 1)**2*(5*j - 3)/7
Let -16/11 + 840/11*f**5 + 1706/11*f**4 - 8*f + 998/11*f**3 + 60/11*f**2 = 0. What is f?
-1, -2/3, -2/5, -1/4, 2/7
Let a = -35 - -42. Suppose 5*m - 5*s + s = a, 4 = 2*s. Suppose 2/3*g + 1/3*g**4 + 0 - g**2 + 0*g**m = 0. What is g?
-2, 0, 1
Suppose 86*j - 134 = 19*j. Find b, given that 12/5*b**j + 3/5*b - 9/5 = 0.
-1, 3/4
Let 25/4*v**3 + 0 + 27/8*v**4 + v + 9/2*v**2 + 5/8*v**5 = 0. Calculate v.
-2, -1, -2/5, 0
Let w(f) be the first derivative of 15*f**6/2 + 96*f**5/5 + 57*f**4/4 + 2*f**3 