 17)*(h + 2)**2
Let u(b) = 15*b**5 + 55*b**3 - 85*b**2 - 240*b + 85. Let w(g) = -g**5 - 4*g**3 + 6*g**2 + 17*g - 6. Let d(o) = -6*u(o) - 85*w(o). Solve d(j) = 0.
-1, 0, 1
Let y be (5/(-3))/(35/(-42)). Let d be (y + -3 + 1)*1. Solve -1/7*g - 1/7*g**3 + d + 2/7*g**2 = 0.
0, 1
Suppose r = 2*s - 4*r - 259, 0 = -5*s + 5*r + 640. Suppose -k + 129 - s = 0. Factor -1/6*z**3 + 1/6 + 1/6*z - 1/6*z**k.
-(z - 1)*(z + 1)**2/6
Let o(g) = -2*g**3 + 12*g - 15. Let b be o(-3). Factor -3/2*q**2 + 0 + 1/2*q + q**b.
q*(q - 1)*(2*q - 1)/2
Let a(j) = j**3 + 2*j**2 - 30*j - 29. Let l be a(-1). Factor 0 + 1/10*d**l - 2/5*d.
d*(d - 4)/10
Let q(r) be the second derivative of r**4/66 + 16*r**3/33 - 80*r**2/11 + 262*r. Factor q(n).
2*(n - 4)*(n + 20)/11
Let w(r) be the third derivative of 0*r - 1/8*r**4 - 1/20*r**5 + 3*r**2 + 0*r**3 + 0. Factor w(u).
-3*u*(u + 1)
Let g(b) be the third derivative of -b**7/2520 - b**6/180 - b**5/40 + b**4/6 - 12*b**2. Let f(d) be the second derivative of g(d). Find v, given that f(v) = 0.
-3, -1
Factor 0 - 2/3*m**4 - 2*m**3 + 26/3*m**2 + 10*m.
-2*m*(m - 3)*(m + 1)*(m + 5)/3
Let d be (-3)/((-270)/(-261)) - -3. Factor -d*l**5 + 1/5*l**2 + 0*l**4 - 1/5 + 2/5*l**3 - 3/10*l.
-(l - 2)*(l - 1)*(l + 1)**3/10
Let p = 4/153 + 1/34. Let k(a) be the third derivative of 0*a - 1/45*a**5 + 6*a**2 - p*a**4 + 0*a**3 + 0. Find c such that k(c) = 0.
-1, 0
Let f(m) be the first derivative of 2/95*m**5 + 3/19*m**4 + 0*m - 9 + 8/19*m**2 + 8/19*m**3. Suppose f(l) = 0. What is l?
-2, 0
Let c(f) be the third derivative of f**7/420 + f**6/10 + 336*f**2 + f. Suppose c(n) = 0. Calculate n.
-24, 0
Let x(y) be the second derivative of y**7/2520 - 13*y**4/12 - 20*y. Let r(k) be the third derivative of x(k). What is s in r(s) = 0?
0
Let b(w) be the second derivative of w**4/28 + 31*w**3/14 + 45*w**2/7 + 646*w. What is p in b(p) = 0?
-30, -1
Let u(o) be the third derivative of -14/135*o**6 + 0*o**4 + 4/135*o**5 + 0 + 14/135*o**7 + 0*o - 22*o**2 + 0*o**3. Factor u(t).
4*t**2*(7*t - 2)**2/9
Suppose -8*o + 13*o = -4*j - 10, -4*j - o = 2. Let t be (-4)/8*2*j. Factor t*k**2 + 0*k - 3/4*k**4 + 0*k**3 + 0.
-3*k**4/4
Let h = 278 + -5559/20. Let w(u) be the third derivative of -6*u**2 - 1/15*u**5 + 1/336*u**8 + 0 + 0*u - 2/105*u**7 + 1/24*u**4 + h*u**6 + 0*u**3. Factor w(b).
b*(b - 1)**4
Solve 1/7*i + 3/7*i**2 - 3/7 - 1/7*i**3 = 0 for i.
-1, 1, 3
Let i(j) = -2*j**4 + j**3 + j. Let q(d) = -3*d**4 + 29*d**3 - 29*d**2 - 25*d + 28. Let t(s) = 2*i(s) - q(s). Factor t(g).
-(g - 1)**2*(g + 1)*(g + 28)
Let m(a) = -7*a**4 + a**3 - 5*a**2 - a - 6. Let h(c) = 6*c**4 - 2*c**3 + 4*c**2 + 2*c + 5. Let n(j) = 6*h(j) + 5*m(j). Determine d, given that n(d) = 0.
-1, 0, 1, 7
Let m = -2 + 12. Let r be (4/m)/(1/15). Find n such that 4 + 0 - 6*n**2 - 3*n**5 + 0*n**2 - 3*n - 1 + 3*n**4 + r*n**3 = 0.
-1, 1
Let q(p) = -p**2 - p + 46. Let f be q(0). Suppose x - f = -5*u, 5*x - 5 = -3*u + 5. Suppose 3*r**3 + 3*r**5 + 0*r**5 + 4*r**4 - u*r**4 = 0. Calculate r.
0, 1
Factor -3/4*k - 1/4*k**3 + 3/2*k**2 - 5/2.
-(k - 5)*(k - 2)*(k + 1)/4
Let k(j) = -j**3 - 6*j**2 - 5*j + 5. Let o be k(-5). Let -22*l - 14*l - 27 - 3*l**2 - 4*l**2 - o*l**2 = 0. Calculate l.
-3/2
Suppose -10*j - 7*j = -34. Let x(k) be the second derivative of -1/18*k**4 - 1/3*k**3 + 0 + 9*k - 2/3*k**j. Factor x(c).
-2*(c + 1)*(c + 2)/3
Let x be -8 + 1/2 + (-1554)/(-140). Find w, given that 6/5*w**4 + 0 - 2/5*w**5 + 0*w + x*w**3 + 2*w**2 = 0.
-1, 0, 5
Let l(g) be the second derivative of 0 + 0*g**5 - 1/12*g**4 + 0*g**3 + 2*g + 0*g**2 + 1/30*g**6. Factor l(n).
n**2*(n - 1)*(n + 1)
Factor 98/9 + 2/9*c**2 - 100/9*c.
2*(c - 49)*(c - 1)/9
Let z(x) = x**2 - 4*x + 2. Let g be z(4). Suppose -5*b + d = 0, -5*b + g*d = -0*d. Factor 1/3*w - 1/3*w**5 - 2/3*w**2 + 0*w**3 + 2/3*w**4 + b.
-w*(w - 1)**3*(w + 1)/3
Find k such that 21/4 + k - 1/4*k**2 = 0.
-3, 7
Let j(x) be the third derivative of 1/21*x**7 + 1/12*x**4 - 1/30*x**5 - 1/84*x**8 - 1/20*x**6 - 15*x**2 + 0*x + 0*x**3 + 0. Factor j(z).
-2*z*(z - 1)**3*(2*z + 1)
Let u(c) be the first derivative of -9*c**5/5 + 3*c**4/4 + 12*c**3 - 6*c**2 + 15. Factor u(v).
-3*v*(v - 2)*(v + 2)*(3*v - 1)
Let l(f) = -8*f - 43. Let w be l(-6). Suppose k = -4*c + 13, w*k - 42 + 15 = -c. Solve -4/5*y**c - 12/5 - 16/5*y = 0 for y.
-3, -1
Let j(m) be the third derivative of m**8/456 + 3*m**7/665 - m**6/95 - 2*m**5/285 - 411*m**2. Let j(p) = 0. What is p?
-2, -2/7, 0, 1
Let p(h) be the third derivative of h**8/392 + 2*h**7/147 - h**6/210 - 8*h**5/105 - h**4/84 + 2*h**3/7 + 217*h**2. Let p(j) = 0. Calculate j.
-3, -1, 2/3, 1
Let r(o) be the second derivative of -o**7/6720 - o**6/576 + 5*o**3/2 - 7*o. Let p(b) be the second derivative of r(b). What is v in p(v) = 0?
-5, 0
Let g(v) be the second derivative of 0 + 8/3*v**4 + 10*v - 8/3*v**3 + v**2. What is j in g(j) = 0?
1/4
Let k(a) = 7*a**2 + 1 + 1 - 2 + 2 - a**3 + 8*a. Let c be k(8). Factor 0*r**5 + c*r**4 + 0*r**4 - 2*r**5.
-2*r**4*(r - 1)
Suppose 73/3*t + 24 + 1/3*t**2 = 0. What is t?
-72, -1
Let q be ((-3)/7)/((-1917)/994). Let 2/9*y**2 + q + 4/9*y = 0. Calculate y.
-1
Factor 0*z**2 + 34*z - 7*z**2 + 7*z**2 + 23 + 9 + 2*z**2.
2*(z + 1)*(z + 16)
Let a(j) = -j**3 + j**2 - 2*j + 2. Let q(o) = o**3 - 9*o**2 - 2*o - 4. Let t(f) = -6*a(f) - 3*q(f). Factor t(v).
3*v*(v + 1)*(v + 6)
Let o(g) = -3*g - 6*g**2 + 5 + 3*g**2 - 5*g**2. Let p(y) be the first derivative of -3*y**3 - 3*y**2/2 + 6*y - 16. Let c(l) = 6*o(l) - 5*p(l). Factor c(h).
-3*h*(h + 1)
Factor -31*s + 39*s**3 - 40*s**3 - 12*s**2 + 8*s - 32 - 13*s.
-(s + 2)**2*(s + 8)
Let x be 39 + -42 - (-1*73 + 1). Factor 9*a**3 - x*a**3 + 152*a - 4*a**4 - 652*a - 300*a**2.
-4*a*(a + 5)**3
Let p(w) = -w**2 + 6*w - 11. Let a be p(7). Let s be (a/(-14))/(8/28). Factor 3*y**2 + 3/2*y**5 - s*y**4 + 3/2 - 9/2*y + 3*y**3.
3*(y - 1)**4*(y + 1)/2
Find f, given that 0*f + 4/7*f**2 - 4/7 = 0.
-1, 1
Suppose 0 = -4*s - s + 25. Suppose -s*y = -0*y. Factor -1/6*i - 1/6*i**2 + y.
-i*(i + 1)/6
Let c(s) be the third derivative of -3*s**8/28 + 26*s**6/15 - 74*s**5/15 + 37*s**4/6 - 4*s**3 + 613*s**2. Determine g, given that c(g) = 0.
-3, 1/3, 2/3, 1
Let t(l) be the first derivative of l**5 + 295*l**4/16 + 385*l**3/12 - 895*l**2/8 + 195*l/4 - 654. Solve t(q) = 0.
-13, -3, 1/4, 1
Let g(r) be the third derivative of r**8/504 + r**7/105 + r**6/180 - r**5/30 - r**4/18 - 18*r**2 + 2. Let g(o) = 0. Calculate o.
-2, -1, 0, 1
Suppose -8/7*o**4 - 16/7 - 22/7*o**3 + 54/7*o**2 + 52/7*o = 0. Calculate o.
-4, -1, 1/4, 2
Suppose -6*m = -m - 20. Let s be (m - 5)*5/(-1). Factor 50*g**2 - 40*g**2 - 10*g**3 + 18*g - 5*g**5 - 15*g**4 - 3*g + s.
-5*(g - 1)*(g + 1)**4
Find o, given that 1 - 3/4*o**2 - o + 1/4*o**4 + 1/2*o**3 = 0.
-2, 1
Let r(x) be the third derivative of -1/36*x**4 + 0 + 0*x**3 + 0*x - 1/270*x**5 - 9*x**2. Factor r(o).
-2*o*(o + 3)/9
Let d(z) be the second derivative of -1/42*z**7 + 0*z**3 + 0*z**2 + 0*z**4 + 0*z**5 - 7/30*z**6 + 10*z + 0. Solve d(p) = 0 for p.
-7, 0
Let f be 152/288 + (-8)/16. Let h(y) be the third derivative of 0*y - 5/144*y**4 - 6*y**2 - 1/90*y**5 + 0 - f*y**3. Determine z so that h(z) = 0.
-1, -1/4
Let d(k) be the third derivative of -1/210*k**5 + 10*k**2 + 0 + 0*k + 1/21*k**3 + 1/84*k**4 - 1/420*k**6. Determine i so that d(i) = 0.
-1, 1
Let q = 13 - 10. Let d(g) = -q + 6 + 3 - 9*g + g. Let v(j) = j**2 + 9*j - 7. Let l(r) = 3*d(r) + 2*v(r). Factor l(z).
2*(z - 2)*(z - 1)
Factor 0*q + 0 + 11/4*q**2 + 1/12*q**3.
q**2*(q + 33)/12
Let b(q) be the second derivative of -18*q + 11/27*q**3 + 1/135*q**6 - 4/9*q**2 + 1 + 1/90*q**5 - 1/6*q**4. Solve b(n) = 0 for n.
-4, 1
Let m(c) be the first derivative of -c**6/2340 + c**5/390 - c**3 - 6. Let z(a) be the third derivative of m(a). Factor z(n).
-2*n*(n - 2)/13
Factor -1517/2*t - 40*t**2 - 1/2*t**3 + 1681.
-(t - 2)*(t + 41)**2/2
Factor 6*s + 15 + 63 + 34*s - 5*s**2 - 17 + 39.
-5*(s - 10)*(s + 2)
Let x(r) = -44*r - 264. Let h be x(-6). Let m(f) be the third derivative of h + 10*f**2 + 0*f - 1/240*f**5 - 1/48*f**4 + 0*f**3. Solve m(j) = 0 for j.
-2, 0
Find y such that 0 + 32/13*y + 2/13*y**2 = 0.
-16, 0
Let f = 4014 - 16055/4. Determine m so that 0*m + f*m**2 - 1/4 = 0.
-1, 1
Let r(z) be the second derivative of -z**4/48 + 151*z**3/12 - 22801*z**2/8 + 3*z - 159. Factor r(t).
-(t - 151)**2/4
Let o(h) = h**