hird derivative of -i**7/840 + i**6/60 - i**5/15 - 10*i**2. What is c in a(c) = 0?
0, 4
Let x = -512/5 + 104. Let c be 1 + (114/(-10) - -12). Solve c*g + 2/5*g**2 + x = 0 for g.
-2
Suppose -20/9*y**5 + 16/9*y - 62/9*y**4 + 34/9*y**2 - 8/9 - 32/9*y**3 = 0. Calculate y.
-2, -1, 2/5, 1/2
Let k be ((-3)/2)/((-9)/12). Solve -4*r + 2*r**2 - 13*r**3 - r**5 + 6*r**4 + 10*r**k + 0*r = 0.
0, 1, 2
Let m(c) be the second derivative of -c**4/18 + c**3/9 + 4*c. Factor m(h).
-2*h*(h - 1)/3
Let n = 11 - 6. Suppose w - 3*f + f + 4 = 0, -w - n*f = -24. Solve 2*t**2 + 6*t**4 + 0*t**3 + w*t**3 - 4*t**4 = 0.
-1, 0
Factor n + 48*n**2 + 3*n + 8 - 52*n**2.
-4*(n - 2)*(n + 1)
Factor 6/7*o**4 + 72/7*o**2 + 18/7 + 60/7*o + 36/7*o**3.
6*(o + 1)**3*(o + 3)/7
Let y be 6 - (0 - 0/2). Let q(u) be the second derivative of -u**5/10 + u**3/3 + 16*u. Let m(i) = i**3 - i. Let f(h) = y*q(h) + 10*m(h). Factor f(k).
-2*k*(k - 1)*(k + 1)
Determine h so that -3/4*h**3 + 0*h - 3/4*h**5 + 0 - 3/2*h**4 + 0*h**2 = 0.
-1, 0
Let h(u) = -6*u**3 - u**2 + 6*u + 6. Let b(k) = -k**3 + k + 1. Let i(v) = -v + 5. Let o be i(-5). Let a = -5 + o. Let q(m) = a*b(m) - h(m). Factor q(f).
(f - 1)*(f + 1)**2
Factor -9/5 - 3/5*z**2 - 12/5*z.
-3*(z + 1)*(z + 3)/5
Let g(a) = 2*a**2 + 1. Let v(i) = -3*i**2 - 15. Let l(j) = -3*g(j) - v(j). Find r such that l(r) = 0.
-2, 2
Suppose -2*v = v. Suppose 26 = 3*k - 5*b, 20 = -5*b - v*b. Let 0 - 2/3*t**4 + 0*t**3 + 0*t + 2/3*t**k = 0. Calculate t.
-1, 0, 1
Suppose -2*k + 2*q + 6 = 0, 0*k - 3*k = -4*q - 10. Let t(h) be the first derivative of -h**k + 2/3*h**3 + 1 + 0*h. Factor t(b).
2*b*(b - 1)
Let v(x) = x**5 - x + 1. Let p(r) = 4*r**5 - 2*r**4 - 4*r**3 + 4*r**2. Let m be 1/2*(-6)/(-3). Let h = m - 2. Let b(w) = h*p(w) + 2*v(w). Factor b(g).
-2*(g - 1)**3*(g + 1)**2
Let g = -66 - -68. Suppose 4/7*b + 0 - 4/7*b**3 + 2/7*b**g - 2/7*b**4 = 0. What is b?
-2, -1, 0, 1
Let z(i) be the third derivative of i**8/1680 - i**6/360 - i**3/3 - i**2. Let m(a) be the first derivative of z(a). What is w in m(w) = 0?
-1, 0, 1
Let d(i) be the third derivative of i**8/6720 - i**7/420 + i**6/60 + i**5/15 - 7*i**2. Let y(x) be the third derivative of d(x). Determine a so that y(a) = 0.
2
Let g(k) be the third derivative of k**9/1008 - 3*k**8/560 + 3*k**7/280 - k**6/120 - k**3/2 - k**2. Let q(s) be the first derivative of g(s). Solve q(y) = 0.
0, 1
Let r(w) = -w**3 - 8*w**2 + 9*w + 2. Let t be r(-9). Suppose -3*a + 23 = 3*q + q, 2*q + 5*a - 29 = 0. Factor -2 + 10*c**q + 2*c + c**t - c**2 + 6*c**3.
2*(c + 1)**2*(3*c - 1)
Let w(q) be the third derivative of -q**5/360 + q**4/48 - q**3/18 + 10*q**2. Factor w(c).
-(c - 2)*(c - 1)/6
Let y(f) be the third derivative of 1/33*f**3 - 1/330*f**6 + 1/44*f**4 + 4*f**2 + 0 - 1/1848*f**8 + 0*f + 1/165*f**5 - 1/385*f**7. Find k, given that y(k) = 0.
-1, 1
Let b = -796/7 + 114. Factor b*x**2 + 4/7 - 6/7*x.
2*(x - 2)*(x - 1)/7
Let f(s) be the third derivative of -s**7/1050 + s**6/200 - s**5/100 + s**4/120 - 4*s**2. Factor f(o).
-o*(o - 1)**3/5
Suppose 5*f = 2*f + 4*i + 20, -3*i - 15 = 4*f. Let j(s) be the third derivative of -4*s**2 + f*s**5 + 0 + 0*s**4 + 0*s**3 - 1/40*s**6 + 0*s. Factor j(a).
-3*a**3
Let b = 77 - 73. Let a = 4/55 + 6/55. Factor 0 + 0*i - 4/11*i**b + 2/11*i**3 + a*i**5 + 0*i**2.
2*i**3*(i - 1)**2/11
Suppose 1 - 4*k**3 - 1 + 21*k**2 - 17*k**2 = 0. What is k?
0, 1
Suppose -14*v - 4*v = -36. Solve 1/4*y + 0*y**v - 1/2*y**3 + 0*y**4 + 1/4*y**5 + 0 = 0 for y.
-1, 0, 1
Let r(m) be the third derivative of -m**8/1344 + m**6/240 - m**4/96 + 10*m**2. Factor r(j).
-j*(j - 1)**2*(j + 1)**2/4
Suppose 20 = -2*h + 6*h. Suppose h*a - 11 = f + 3, 2*a = -2*f + 8. Factor -2 - 2*n**a + 2*n**2 - n - n**2 + 3*n**3 + 1.
(n - 1)*(n + 1)**2
Suppose i + 7 = 3*i - 3*f, i - 5*f - 7 = 0. Let a be (-28)/(-156) + i/13. Factor a*n + 1/3*n**2 + 0.
n*(n + 1)/3
What is g in -2/7*g + 2/7*g**2 + 0 = 0?
0, 1
Let q(w) be the first derivative of -w**5/15 + 2*w**3/9 - w/3 + 4. Factor q(y).
-(y - 1)**2*(y + 1)**2/3
Let a = 11 - 7. Factor 8*l**2 + 145*l**5 + 90*l**a - 32*l**3 - 19*l**5 + 36*l**5 - 32*l**3.
2*l**2*(l + 1)*(9*l - 2)**2
Let 9*c**2 + 48*c - 6*c**3 - 48*c - 3 = 0. What is c?
-1/2, 1
Suppose -2*z - 3*j = 10, 3*z - j = j + 11. Factor -c**3 + c - c**2 + 0*c + 2 - z + 0*c**3.
-(c - 1)*(c + 1)**2
Let s(c) = 3*c**2 + 6*c + 9. Let h(d) = -4*d**2 - 6*d - 9. Let k(x) = 2*h(x) + 3*s(x). Factor k(v).
(v + 3)**2
Let n = 27 + -25. Let p(k) be the second derivative of 1/10*k**5 + 0*k**2 - 1/6*k**4 + 0*k**3 + n*k + 0. Determine v so that p(v) = 0.
0, 1
Let q(h) be the first derivative of -4*h**5/5 - 4*h**4 + 8*h**3 + 8*h**2 - 20*h + 11. Find c such that q(c) = 0.
-5, -1, 1
Let k(u) = 5*u**2 + 8*u - 13. Let f(p) = -p**2 - 2*p + 3. Let s(r) = 18*f(r) + 4*k(r). What is h in s(h) = 0?
1
Suppose 2*u - 12 = -2*p, -6*p = -4*p - 8. Let v = 1/18 + 31/90. Factor -v*w + 2/5*w**u + 2/5*w**3 - 2/5.
2*(w - 1)*(w + 1)**2/5
Let q(b) be the third derivative of -b**2 + 0*b**5 + 0*b**3 + 0*b**4 + 0*b + 0 - 1/945*b**7 + 0*b**6 + 1/1512*b**8. Factor q(j).
2*j**4*(j - 1)/9
Let c(a) be the second derivative of -a**4/90 + a**3/15 - 5*a. Solve c(w) = 0 for w.
0, 3
Factor 2/3 - 1/3*y - 1/3*y**2.
-(y - 1)*(y + 2)/3
Let p(n) = n**4 + n**2 - 2. Let i(g) = -g**3 - 13 + 6*g**2 - g**4 - 4*g**4 + 11*g**4. Let r(w) = 6*i(w) - 39*p(w). Factor r(a).
-3*a**2*(a + 1)**2
Suppose -4*i + 5*i = 16. Factor -40*s**2 + 1 + 26*s - i*s**3 - 5 + 34*s**3.
2*(s - 1)**2*(9*s - 2)
Factor 167 - 987 - 160 + 140*g - 5*g**2.
-5*(g - 14)**2
Let w(u) be the second derivative of -u**5/100 + u**4/60 + u**3/15 - 7*u. Suppose w(n) = 0. Calculate n.
-1, 0, 2
Suppose 0 = 3*i + 6, i + 62 = -4*v - 2*i. Let n = 16 + v. What is r in -2/5*r**n + 0 + 0*r = 0?
0
Let c(v) = -4*v - 6. Let h be c(-2). Factor 0*y + 8/9*y**4 + 2/9*y**h + 0 - 10/9*y**3.
2*y**2*(y - 1)*(4*y - 1)/9
Let y(r) be the second derivative of r**4/4 - r**3/2 + 4*r. Let y(u) = 0. What is u?
0, 1
Let f(d) = -d**3 + d**2 - d. Let u = -3 - -2. Let b(a) = -4*a**3 + 2*a**2 - 3*a. Let l(v) = u*b(v) + 3*f(v). What is n in l(n) = 0?
-1, 0
Let k(y) be the third derivative of y**5/170 + 7*y**4/204 + 2*y**3/51 + 11*y**2. Factor k(d).
2*(d + 2)*(3*d + 1)/17
Let h = 137 - 1229/9. Factor -h*n + 0 + 2*n**4 + 26/9*n**2 - 16/3*n**3.
2*n*(n - 2)*(3*n - 1)**2/9
Suppose -2*m + 6*m + 4 = 0, -b - 148 = m. Let k be (14/b)/(9/(-42)). Solve -4/9*y**3 + 2/9 + 0*y**2 + k*y - 2/9*y**4 = 0.
-1, 1
Suppose 3*y - 8*y - 4*c + 1 = 0, 4 = c. Let t be y/(-30) + 6/15. Find z, given that 1/6*z + 1/3 - t*z**2 - 1/6*z**3 + 1/6*z**4 = 0.
-1, 1, 2
Let w(s) be the first derivative of s**4/48 - s**3/24 - 4*s + 2. Let u(f) be the first derivative of w(f). Factor u(z).
z*(z - 1)/4
Let g(o) = o**3 + 9*o**2 + 8*o + 2. Let z be g(-8). Let -1 - 5*j + 3*j + 0*j**z - j**2 = 0. What is j?
-1
Let m(z) be the second derivative of 4/75*z**6 + 3*z + 1/15*z**4 + 0 + 0*z**2 + 0*z**3 - 1/105*z**7 - 1/10*z**5. Find b such that m(b) = 0.
0, 1, 2
Let b(h) = -h**3 + 5*h**2 - 7*h - 9. Let z(y) = -3*y**3 + 15*y**2 - 20*y - 27. Let p(r) = -11*b(r) + 4*z(r). Find w such that p(w) = 0.
-1, 3
Let d = -2/1669 - -3344/5007. Let w be 6/(-27) - 76/(-18). Factor 6 - w*s + d*s**2.
2*(s - 3)**2/3
Let g = -2 - -2. What is t in -1/4 + 1/4*t**2 + g*t = 0?
-1, 1
Let b = -9/2 - -6. Let q(c) be the first derivative of 0*c + 0*c**2 - b*c**4 - 4/3*c**3 + 1. Factor q(u).
-2*u**2*(3*u + 2)
Let r(k) be the second derivative of k**6/90 + k**5/60 - k**4/36 - k**3/18 - 5*k. Factor r(l).
l*(l - 1)*(l + 1)**2/3
Let k be 42/68 + ((-261)/51 - -5). Factor 0 - 3/2*z**2 - k*z.
-z*(3*z + 1)/2
Let y(g) = -g**4 + 23*g**3 + 80*g**2 + 123*g + 75. Let i(p) = -2*p**4 + 24*p**3 + 82*p**2 + 124*p + 76. Let z(d) = -3*i(d) + 4*y(d). Factor z(x).
2*(x + 2)**2*(x + 3)**2
Let m(p) be the third derivative of p**5/30 - p**4/12 - 4*p**2. Factor m(q).
2*q*(q - 1)
Let q(u) = -6*u**4 - 6*u**3 - 4*u**2 - 4. Let p(v) = -2*v**2 - 6*v**4 + 1 + 7*v**4 + v**3 + 3*v**2 + 0*v**3. Let j(n) = -4*p(n) - q(n). Factor j(w).
2*w**3*(w + 1)
Let v be 1/3*0 - -1. Suppose -3*r + 0*p + 7 = p, -r = -p - v. Factor 0 + 4/3*l + 2*l**r.
2*l*(3*l + 2)/3
Let k = 4/35955 + -10/423. Let v = k + 176/255. Suppose 0*m**3 + v*m**2 - 2/3*m**4 + 0 + 1/3*m - 1/3*m**5 = 0. What is m?
-1, 0, 1
Factor 14*i - 67*i**2 - 25*i**3 - 3*i**2 -