) be the second derivative of 147*f**5/100 + 21*f**4/4 + 36*f**3/5 + 24*f**2/5 + 8*f. Factor i(g).
3*(g + 1)*(7*g + 4)**2/5
Suppose 2*l - 7 = -o, l + 3*o + 9 = -0. Let x(g) = 7*g**3 - 5*g**2 - g + 4. Let k(z) = -3*z**3 + 2*z**2 + z - 2. Let c(u) = l*x(u) + 15*k(u). Factor c(h).
-3*(h - 1)**2*(h + 2)
Let a be 3 + (7/21)/((-4)/36). Factor a*c**4 + 4/5*c**3 - 2/5*c - 2/5*c**5 + 0*c**2 + 0.
-2*c*(c - 1)**2*(c + 1)**2/5
Let n(b) be the second derivative of 1/48*b**4 + 0*b**3 + 0 - 1/8*b**2 + b. Suppose n(g) = 0. Calculate g.
-1, 1
Factor 2/9*q**4 + 0 + 0*q**3 - 2/3*q**2 + 4/9*q.
2*q*(q - 1)**2*(q + 2)/9
Suppose 0 = f - 3*f. Let r(x) = -x**2 + 2. Let k be r(f). Solve 2*w**2 + 4*w**k - 4*w + 2 - 2*w - 2*w**3 = 0 for w.
1
Let g = -9/4 - -19/4. Let j(w) be the first derivative of 1/4*w**4 - g*w**2 + 1/5*w**5 - 2*w - w**3 + 1. What is h in j(h) = 0?
-1, 2
Let u(z) = -z**3 - z**2 + z + 2. Let d be u(0). Factor d*x**3 - x - x - 4*x**3 + 4*x**2.
-2*x*(x - 1)**2
Let k(z) be the first derivative of z**4/48 + z**3/24 - 4*z - 5. Let u(f) be the first derivative of k(f). Find w such that u(w) = 0.
-1, 0
Let w be -6*((-3)/27 - 0). Let c(q) be the third derivative of 0*q + 1/10*q**5 + 0 - w*q**4 + 4/3*q**3 + q**2. Determine h so that c(h) = 0.
2/3, 2
Let p be (12/8*1)/(6/8). Let f(v) be the first derivative of -1/16*v**4 + 2 + 0*v + 0*v**3 + 1/8*v**p. Factor f(c).
-c*(c - 1)*(c + 1)/4
Suppose k + 2 = -3, -3*o - k - 5 = 0. Let i(g) be the third derivative of -1/30*g**5 + o + 0*g**4 + 0*g - g**2 + 1/3*g**3. Let i(s) = 0. What is s?
-1, 1
Let u(n) = n**2 + 5*n - 6. Let l be u(-6). Let y(q) = q. Let h be y(3). Find w such that -2*w - w**3 - 7*w**2 - h*w**3 + 8*w**4 + 6*w**5 - w**2 + l*w = 0.
-1, -1/3, 0, 1
Let b(p) be the second derivative of -5*p**4/18 + 8*p**3/9 + 4*p**2/3 + 3*p. Let b(j) = 0. Calculate j.
-2/5, 2
Suppose 2*o + 0*o = -7*o. Let d(a) be the first derivative of 4 + o*a - 1/6*a**3 + 0*a**2. Factor d(n).
-n**2/2
Suppose 0 = -l - 3*l. Let h(v) be the second derivative of l*v**2 + 0 + v - 1/30*v**5 + 0*v**3 - 1/18*v**4. Find n, given that h(n) = 0.
-1, 0
Suppose -28*f + 29 = -55. Let 0*q - 2/9*q**4 - 2/3*q**f + 0 - 4/9*q**2 = 0. What is q?
-2, -1, 0
Let h(m) be the second derivative of -m**7/14 - m**6/10 + 3*m**5/10 + m**4/2 - m**3/2 - 3*m**2/2 + 8*m. Let h(v) = 0. Calculate v.
-1, 1
Let m(i) be the second derivative of 0 + i + 3/4*i**2 - 3/8*i**3 + 1/16*i**4. Factor m(f).
3*(f - 2)*(f - 1)/4
Let n = -1233 - -3916/3. Let r = 73 - n. Determine b, given that -4/3 + 2/3*b**4 - r*b**3 - 2*b**2 + 10/3*b = 0.
-2, 1
Let d(x) be the second derivative of -x**8/33600 - x**7/2520 - x**6/450 - x**5/150 + x**4/12 - 3*x. Let c(n) be the third derivative of d(n). Factor c(p).
-(p + 1)*(p + 2)**2/5
Let j(q) be the third derivative of q**7/1050 + q**6/100 + q**5/25 + q**4/15 + 3*q**2 + q. Factor j(a).
a*(a + 2)**3/5
Let l(h) = -5*h**2 - 5*h - 2. Let b(r) = -66*r**2 - 66*r - 27. Let d(z) = 2*b(z) - 27*l(z). Find x, given that d(x) = 0.
-1, 0
Suppose 0 = -2*i - i. Let s = i - -3. Factor 2/3*w**s + 0 - 2/3*w + 0*w**2.
2*w*(w - 1)*(w + 1)/3
Let m(s) = 4*s**3 + 5*s**2 - 7*s - 8. Let h(j) = 2*j**3 + 2*j**2 - 4*j - 4. Let f(p) = -5*h(p) + 2*m(p). Find k such that f(k) = 0.
-1, 2
Let s(m) be the second derivative of m**7/420 - m**6/45 + m**5/15 + 7*m**3/6 - 3*m. Let q(i) be the second derivative of s(i). Solve q(d) = 0.
0, 2
Let b(d) = -d**2 + 4*d + 7. Let i be b(5). Suppose 0 = 4*r + i*u - 4, 5*u = -r + 16 - 6. Determine w so that r*w + 1/4 - 1/4*w**2 = 0.
-1, 1
Let j(u) = -u**3 - 5*u**2 - 8*u - 4. Let c be j(-3). Let w(g) be the second derivative of -c*g + 1/12*g**4 + 9/2*g**2 - g**3 + 0. Let w(b) = 0. Calculate b.
3
Let u = -116 + 2438/21. Let d(c) be the first derivative of 1 + u*c**3 - 2/7*c**2 + 2/7*c. Let d(h) = 0. Calculate h.
1
Let l be ((-2)/(-34))/((-2)/(-4)). Let b = 21/34 - l. Let o + 1/2 + b*o**2 = 0. What is o?
-1
Suppose 5*x + 1 - 14 = 3*d, 0 = 4*d + 4. Solve -1/4*i + 0 - 1/4*i**x = 0 for i.
-1, 0
Suppose -t - 3*t = 4*j, 0 = -4*t + j. Suppose 0*l - 5*l + 15 = t. Solve w**l - 5/3*w**4 + 0 + 2/3*w**2 + 0*w = 0 for w.
-2/5, 0, 1
Suppose 0 = -5*x - 6 - 9, -24 = 3*c + 4*x. Let i be c/(8/(-10)) + -3. Factor -4/3*d + 20/3*d**i + 0 - 25/3*d**3.
-d*(5*d - 2)**2/3
Factor 6*l**3 - 6*l + 9/2*l**2 - 21/4 + 3/4*l**4.
3*(l - 1)*(l + 1)**2*(l + 7)/4
Let s(t) be the second derivative of t**4/12 + t**3/3 - 3*t**2/2 - 3*t. Factor s(v).
(v - 1)*(v + 3)
Let y(b) be the third derivative of b**9/30240 + b**5/60 - b**2. Let w(q) be the third derivative of y(q). Find g such that w(g) = 0.
0
Let p(j) = 10*j - 20. Let x(n) = -n**2 + 10*n - 21. Let s(i) = -6*p(i) + 5*x(i). Determine h, given that s(h) = 0.
-3, 1
Let m be (-355)/825 - 4/(-10). Let l = 193/165 - m. Factor l*u - 2/5*u**2 - 4/5.
-2*(u - 2)*(u - 1)/5
Suppose 2*h - h - 5 = 0. Suppose h*v + 3 - 17 = 3*b, -5*b = -10. Factor 3*w**v + 0*w**2 + 2*w**5 + w**2 - 3*w**3 - 3*w**5.
-w**2*(w - 1)**3
Let m(v) be the first derivative of v**5/10 + 3*v**4/8 + v**3/2 + v**2/4 + 5. Factor m(a).
a*(a + 1)**3/2
Let r(q) be the first derivative of -1/3*q**3 + 1/8*q**4 + 1/4*q**2 + 0*q + 5. Factor r(t).
t*(t - 1)**2/2
Let s be ((-2)/6)/(20/(-180)). Let j(k) be the first derivative of 0*k - 3/2*k**4 + 2*k**s - 2 + 2/5*k**5 - k**2. Factor j(p).
2*p*(p - 1)**3
Suppose -x + 3*l - 37 = 0, -x - 95 = 2*x - 5*l. Let q be 10/(-4)*20/x. Find f, given that 2*f**2 + f**q + 2*f**3 + f**2 = 0.
-2, 0
Let q(r) be the third derivative of -r**5/60 - 7*r**4/24 + 5*r**3/6 + 3*r**2. Let b be q(-7). Determine n, given that -n**2 - 5 + b = 0.
0
Let g(c) be the first derivative of c**4/2 - 4*c**3/3 + c**2 - 6. Determine p, given that g(p) = 0.
0, 1
Let p be ((-4)/(-6) - 12/(-144))/3. Solve 1/2*h**3 + 0 - 1/2*h - p*h**4 + 1/4*h**2 = 0 for h.
-1, 0, 1, 2
Let u be 136/(-18) + 5 - -3. Factor 0 - u*o**2 + 0*o + 2/9*o**3.
2*o**2*(o - 2)/9
Suppose -f - 4 = 3*f, -2*f + 14 = 4*v. Let m be v/10*5/4. Find p, given that 0*p**2 + p**5 - 1/2*p**3 + 0 + 0*p - m*p**4 = 0.
-1/2, 0, 1
Let d(z) be the third derivative of 0 + 1/180*z**6 - 1/12*z**4 + 0*z - 2*z**2 + 0*z**5 + 2/9*z**3. What is k in d(k) = 0?
-2, 1
Factor 0*d + 0*d**2 - 1/7*d**5 + 0 + 2/7*d**4 + 0*d**3.
-d**4*(d - 2)/7
Let d(c) be the third derivative of -5*c**8/56 + 43*c**7/140 - 3*c**6/10 - c**5/40 + c**4/8 + c**2. Suppose d(q) = 0. What is q?
-1/4, 0, 2/5, 1
Let p(x) be the first derivative of -x**4/8 + 11*x**3/6 - 6*x**2 - 18*x - 62. What is t in p(t) = 0?
-1, 6
Let j(z) = -z**3 + z - 1. Let o(w) = -10*w**2 + 8*w + 16. Let n(t) = 2*j(t) - o(t). Determine s, given that n(s) = 0.
-1, 3
Suppose 0 = 2*x + 1 - 7. Solve -3*p + 0*p**3 + p**x + 6 - 4 = 0 for p.
-2, 1
Let t(u) be the first derivative of 2/3*u - 10 + 1/9*u**3 + 1/2*u**2. Factor t(o).
(o + 1)*(o + 2)/3
Let w be (8/6)/((-8)/(-12)). Factor -1 + 3*l**w - 5*l**2 + 0*l + 5 + 2*l.
-2*(l - 2)*(l + 1)
Suppose 2*l = 3*q + 27, -5*q = 3*l - 2*q - 63. Suppose -2 + l = 4*x, 0 = i - 4*x + 13. Factor -w**4 - w**5 + w - 2*w**2 + 0*w**5 + i*w**4.
-w*(w - 1)**3*(w + 1)
Let m(g) = 14*g**4 - 4*g**3 + 6*g**2 + 8*g + 8. Let c(w) = -9*w**4 + 3*w**3 - 4*w**2 - 5*w - 5. Let a(d) = -8*c(d) - 5*m(d). Solve a(j) = 0.
0, 1
Let d(h) = h**2 - 9*h + 2. Let x be d(9). Let t = -143/2 + 73. Factor -1/4 - 1/4*o**4 - t*o**x - o - o**3.
-(o + 1)**4/4
Suppose -1 - 1/2*l**2 - 3/2*l = 0. What is l?
-2, -1
Suppose -4*b - d + 37 = 4*d, 24 = 3*b + 3*d. Let m(j) be the second derivative of 1/7*j**2 - 1/42*j**4 + j + 0 + 0*j**b. Factor m(n).
-2*(n - 1)*(n + 1)/7
Let x(j) be the second derivative of -j**7/357 - 3*j**6/85 - 16*j**5/85 - 28*j**4/51 - 16*j**3/17 - 16*j**2/17 - 18*j. Suppose x(h) = 0. Calculate h.
-2, -1
Suppose 25*u - 28 + 49*u - 12 + 130*u**2 + 35*u**3 + 26*u = 0. What is u?
-2, 2/7
Let l(y) be the second derivative of 7*y**5/240 - y**4/8 - y**3/6 - y**2 - 3*y. Let i(t) be the first derivative of l(t). Solve i(m) = 0.
-2/7, 2
Let y(m) be the third derivative of 0 + 1/90*m**5 - 1/420*m**7 - 1/36*m**3 + 0*m + 3*m**2 - 1/72*m**4 + 1/360*m**6. Suppose y(i) = 0. Calculate i.
-1, -1/3, 1
Solve 6/5*d + 2/5*d**2 + 4/5 = 0 for d.
-2, -1
Let k(g) = g**3 + 6*g**2 + 8*g + 3. Let f be k(-4). Suppose -2/3*m**f - 2*m**2 - 2*m - 2/3 = 0. What is m?
-1
Suppose -4*s = -2*s - 4. Suppose -44 = -4*g - d, 0*g - 2*d - 1