irst derivative of s(w). Factor r(q).
-(q - 3)*(q - 1)/4
Suppose -2*z = -5*h + 2, 12 = 2*h - 105*z + 107*z. Factor 1/2 - 1/4*g**h + 1/4*g.
-(g - 2)*(g + 1)/4
Let l = 1 + 7. Let c = l + -23/3. Factor 2/3*y - c - 1/3*y**2.
-(y - 1)**2/3
Let j be (-18)/(-21)*(-3)/15*-7. Suppose 4/5 - j*g**2 - 2*g = 0. Calculate g.
-2, 1/3
Let i be (3/(-12)*2)/((-18)/12). Factor -i*f**3 - 1/3*f - 2/3*f**2 + 0.
-f*(f + 1)**2/3
Let r(t) = -t**3 - 13*t**2 - 12*t + 2. Let c be r(-12). Let u(i) be the first derivative of 0*i - 1/2*i**4 - 3 - 1/3*i**c - 8/9*i**3. Factor u(k).
-2*k*(k + 1)*(3*k + 1)/3
Let t(h) = -h**3 + 6*h**2 - h + 3. Let z be t(6). Let r be (-2)/((-6)/z) - -1. Factor 0 + r*k**2 + 0*k + 4/3*k**4 - 2/3*k**3 - 2/3*k**5.
-2*k**3*(k - 1)**2/3
Let k(g) be the third derivative of g**5/3 - 4*g**4/3 - 8*g**3/3 - 4*g**2. Let k(b) = 0. What is b?
-2/5, 2
Let 3*d**2 + 3/2*d**5 - 3*d**3 - 3/2*d**4 - 3/2 + 3/2*d = 0. What is d?
-1, 1
Let z be (-1 - -241)*312/420. Let c = z - 178. Let 0 + 0*r**2 - c*r**3 + 0*r = 0. What is r?
0
Let o(b) be the third derivative of -5*b**8/1344 + 9*b**7/280 - 3*b**6/32 + 29*b**5/240 - b**4/16 + 4*b**2. Suppose o(g) = 0. Calculate g.
0, 2/5, 1, 3
Factor -6/13*r**2 + 0*r + 2/13*r**3 + 0.
2*r**2*(r - 3)/13
Let b(x) = -5*x**5 + 10*x**4 - 5*x**3 - 10*x**2 - 10. Let l(c) = c**3 + 1. Let a(r) = b(r) + 10*l(r). Suppose a(k) = 0. Calculate k.
-1, 0, 1, 2
Let -10*d**2 - 3 - 6*d**3 - 11*d + d**4 + 8*d**5 - 7*d**5 - 4*d**2 = 0. Calculate d.
-1, 3
What is b in -4/3*b + 4/3*b**4 + 0 - 17/3*b**3 + 20/3*b**2 = 0?
0, 1/4, 2
Let z = 93/4 - 643/28. Let z*g**3 + 2/7*g**4 - 2/7*g + 4/7 - 6/7*g**2 = 0. Calculate g.
-2, -1, 1
What is y in 0*y**2 + 0 + 0*y**4 - 1/2*y**5 + 1/2*y**3 + 0*y = 0?
-1, 0, 1
Let c(g) be the second derivative of g**6/105 - 3*g**5/70 - 5*g**4/42 + g**3/7 + 4*g**2/7 + 17*g. Factor c(j).
2*(j - 4)*(j - 1)*(j + 1)**2/7
Let 0*a**2 + 40/7*a**4 + 20/7*a - 40/7*a**3 - 8/7 - 12/7*a**5 = 0. Calculate a.
-2/3, 1
Let h = 84/53 - -17/424. Let f = h + -9/8. Factor -3/4*q - f - 1/4*q**2.
-(q + 1)*(q + 2)/4
Factor 1 - 8/3*f + 2*f**2 - 1/3*f**4 + 0*f**3.
-(f - 1)**3*(f + 3)/3
Let k(b) = 2*b. Let j be k(0). Suppose 1/4*p**2 - 1/4*p**5 + 0*p - 3/4*p**3 + 3/4*p**4 + j = 0. What is p?
0, 1
Let a be (5*6/15)/40. Let q(i) be the second derivative of 1/24*i**4 + a*i**6 + 0 + 0*i**2 - i + 1/84*i**7 + 3/40*i**5 + 0*i**3. Factor q(w).
w**2*(w + 1)**3/2
Let z be (-9 + 6)*2/(-3). Let q(n) = -1 + 2 + 0*n**2 - n**z. Let w(f) = f**4 + f**3 - 6*f**2 - f + 5. Let c(l) = -5*q(l) + w(l). Let c(s) = 0. What is s?
-1, 0, 1
Let b(o) be the third derivative of o**9/20160 + o**8/3360 + o**7/1680 + 7*o**5/60 + 4*o**2. Let n(j) be the third derivative of b(j). Factor n(i).
3*i*(i + 1)**2
Let c(j) be the first derivative of -1/2*j - 1/3*j**3 + 5 + 1/16*j**4 + 5/8*j**2. Factor c(h).
(h - 2)*(h - 1)**2/4
Let s(g) = -g**3 + 5*g**2 + g + 2. Let x be s(5). Determine p, given that x*p**2 - 3*p - 6*p**4 + 3 - 2*p**3 - 5 + p**4 + 5*p**3 = 0.
-1, -2/5, 1
Let g be 2/11 + (-2)/11. Let t(j) be the first derivative of 0*j - 1/14*j**4 + 2/21*j**3 + g*j**2 - 2. Factor t(q).
-2*q**2*(q - 1)/7
Factor 10*r + 30*r**2 - 6*r - 12 + 21*r**3 - 7*r.
3*(r + 1)**2*(7*r - 4)
Let o(c) be the second derivative of c**6/6 + 3*c**5/4 - 5*c**4/3 + 9*c. Factor o(m).
5*m**2*(m - 1)*(m + 4)
Let d(f) = 4*f + 38. Let o be d(-9). Let c(v) be the first derivative of 2/3*v**3 + 3 + 0*v + 0*v**o. Factor c(y).
2*y**2
Suppose 4*a - 3 + 9 = -5*s, 12 = 4*s - a. Let t be 1 + (-7 - s)/(-3). Suppose 4*c**2 - 4*c**2 + t*c - 2*c**2 = 0. Calculate c.
0, 2
Let w = 1/21 - -5/42. Factor -z**2 - 1/6 - w*z**4 - 2/3*z - 2/3*z**3.
-(z + 1)**4/6
Let x(w) be the first derivative of -3/2*w**4 + 3 + 0*w**5 + 1/3*w**6 - 4/3*w**3 + 0*w**2 + 0*w. Determine h so that x(h) = 0.
-1, 0, 2
Let 7*n**4 - 47*n**3 + 2*n**2 + 89*n**2 - 174 - 33*n + 156 = 0. Calculate n.
-2/7, 1, 3
Factor -9 + 2*k**2 - 2 - 13 - 28*k - 6*k**2.
-4*(k + 1)*(k + 6)
Let v = -2/131 + 284/1441. Let v*m**2 + 6/11*m + 4/11 = 0. Calculate m.
-2, -1
Let x(y) be the second derivative of y**9/68040 + y**8/30240 - y**7/5670 - y**4/12 + 5*y. Let t(w) be the third derivative of x(w). Factor t(u).
2*u**2*(u - 1)*(u + 2)/9
Suppose -12 = 2*s - 3*s. Factor -12*w**2 + 6*w**4 - 3*w**4 + s*w**4 - 8*w + 26*w**3.
w*(w + 2)*(3*w - 2)*(5*w + 2)
Let t(v) be the second derivative of -v**8/13440 + v**6/1440 - v**4/3 - 2*v. Let h(g) be the third derivative of t(g). Find u such that h(u) = 0.
-1, 0, 1
Let l = -92/105 - -26/15. Find q, given that -l*q + 0 + 2/7*q**2 = 0.
0, 3
Suppose 0 = 4*j + j. Suppose -d - 6*x + x + 13 = j, 5 = 5*d - 5*x. Factor 0*z + 6/5*z**4 - 2/5*z**5 - 6/5*z**d + 2/5*z**2 + 0.
-2*z**2*(z - 1)**3/5
Let x(p) be the first derivative of 1/2*p**3 - 2 - 3/8*p**2 + 0*p - 3/16*p**4. Factor x(l).
-3*l*(l - 1)**2/4
Solve -2/3*b**4 + 0 + 0*b**2 - 2/3*b**5 + 0*b + 0*b**3 = 0.
-1, 0
Factor 0 - 1/5*a**2 + 2/5*a.
-a*(a - 2)/5
Let b(m) be the third derivative of -2*m**2 + 1/120*m**5 + 0 + 0*m - 1/96*m**4 + 0*m**3. Factor b(x).
x*(2*x - 1)/4
Let n(v) = v**3 + 4*v**2 - 21*v + 4. Let k be n(3). Factor 1/4*s**5 + 1/4*s**2 - 1/4*s**k + 0 - 1/4*s**3 + 0*s.
s**2*(s - 1)**2*(s + 1)/4
Factor -69*h + 67*h + 2*h**2 - 11*h**4 - 24*h**3 - 17*h**2.
-h*(h + 1)**2*(11*h + 2)
Let g(c) be the first derivative of -2*c**5/75 + 2*c**4/15 - 2*c**3/9 + 2*c**2/15 + 15. Find k, given that g(k) = 0.
0, 1, 2
Let f(a) = -a**3 + 16*a**2 + 17*a + 2. Let z be f(17). Let j(r) be the second derivative of r - 1/30*r**4 + 0*r**z + 0 - 1/15*r**3. Factor j(n).
-2*n*(n + 1)/5
Suppose s - 5*d - 14 = 3, -2*d + 10 = s. Determine w so that w**4 + 15*w**3 + 6*w**2 + 12*w**2 + 2*w**4 + s*w + 6*w**2 = 0.
-2, -1, 0
Let t(f) = f**2 + 3*f + 2. Suppose -3*y + 11 = v - 0*v, -4*y = -20. Let b(o) = -o**2 - 3*o - 2. Let i(w) = v*t(w) - 3*b(w). Factor i(m).
-(m + 1)*(m + 2)
Let i = 15 + -13. Factor 0 + 7/2*z**3 + 0*z - z**i + 3/2*z**5 - 4*z**4.
z**2*(z - 1)**2*(3*z - 2)/2
Let a be (0 - 0)*(0 + 1). Let k be (-44)/22*-1*2. Determine r so that a*r**4 + 8*r**3 - 10*r - k*r**2 + 9 + 2*r**5 + 8*r**4 - 13 = 0.
-2, -1, 1
Suppose 4*w - 5*f = 28, -w - 3*w + 4*f + 24 = 0. Determine v, given that 4 + 2*v**2 - 2*v + 0*v**w - 4*v = 0.
1, 2
Factor 2/15*p**2 + 0 - 4/15*p.
2*p*(p - 2)/15
Let v(o) be the third derivative of o**5/12 + 5*o**4/8 + 5*o**3/3 - 26*o**2. Solve v(f) = 0.
-2, -1
Let d(l) be the first derivative of -l**5/20 + l**4/12 + 4*l + 7. Let w(q) be the first derivative of d(q). Factor w(z).
-z**2*(z - 1)
Let h(g) be the third derivative of 0*g + 1/24*g**4 + 0 + 9*g**2 + 0*g**3 - 1/48*g**6 - 1/40*g**5. What is y in h(y) = 0?
-1, 0, 2/5
Suppose 3 = j - 0. Let v(c) be the first derivative of 0*c**2 + 1/9*c**j + 0*c - 1. Find q, given that v(q) = 0.
0
Suppose 0*m = 2*m - p - 7, -4 = 4*m + 4*p. What is s in s - 4*s**2 + 5*s**m + 0*s**2 = 0?
-1, 0
Let u(v) be the first derivative of -4*v**3/3 + v**2/2 + 7. Factor u(o).
-o*(4*o - 1)
Let n be (-4 + -1)*8/(-20). Let o(d) be the first derivative of d**n - 2/3*d**3 - 1/2*d**4 + 2*d + 1. Suppose o(f) = 0. What is f?
-1, 1
Let m(i) be the third derivative of i**7/1260 - i**6/60 + 3*i**5/20 + 5*i**4/24 - 8*i**2. Let y(h) be the second derivative of m(h). Factor y(o).
2*(o - 3)**2
Let c(i) = -9*i**2 + 11*i - 9. Let s(l) = -4*l**2 + 5*l - 4. Let g = 9 - 7. Let w be (-7)/((-3)/(-1 - g)). Let h(p) = w*s(p) + 3*c(p). Factor h(b).
(b - 1)**2
Let n(r) be the third derivative of -r**8/96 + 3*r**7/140 + 19*r**6/240 - 13*r**5/120 - r**4/4 + r**3/3 - 16*r**2. Determine c so that n(c) = 0.
-1, 2/7, 1, 2
Let q = -5 - -18. Let i = -8 + q. Let 0*z**4 + 0 + 1/4*z**3 + 0*z - 1/4*z**i + 0*z**2 = 0. What is z?
-1, 0, 1
Let q(j) = j**2 - 3*j + 3. Let k be q(2). Factor 5*w**2 - 4*w**2 + k - 2.
(w - 1)*(w + 1)
Suppose 3*p = -2*x - 0*x + 17, 0 = 4*x - 5*p - 23. Let i = x + -5. Factor 10/3*n**3 - 10/3*n - 4/3*n**i + 4/3.
2*(n - 1)*(n + 1)*(5*n - 2)/3
Let o(m) be the second derivative of -m**6/90 - m**5/20 - m**4/36 + m**3/6 + m**2/3 - 4*m. Factor o(n).
-(n - 1)*(n + 1)**2*(n + 2)/3
Determine h, given that 1/4*h**4 + h + 0 + 0*h**2 - 3/4*h**3 = 0.
-1, 0, 2
Let x be 5/((-45)/9) + 9/7. Let 2/7*o**2 + x*o + 0 = 0. What is o?
-1, 0
Let y(o) = 4*o**3 + 2*o + 3. Let m(z) = 5*z**3 + z**2 + z + 2. Let d(x) = -4*m(x) + 3*y(x). Suppose d(t) = 