 of -w**8/1260 + w**7/210 - w**6/90 + w**5/90 - w**3/2 + 7*w. Let p(s) be the second derivative of n(s). Solve p(c) = 0 for c.
0, 1
Let n(g) = 5*g - 95. Let a be n(19). Factor a - 1/7*h - 1/7*h**3 - 2/7*h**2.
-h*(h + 1)**2/7
Suppose 12*v - 18 = -p + 17*v, -3*p = -5*v - 24. Find l, given that 0*l - 2/5*l**4 + 0 - 2/5*l**5 + 2/5*l**p + 2/5*l**2 = 0.
-1, 0, 1
Let d(c) be the third derivative of c**6/24 + 13*c**5/60 + c**4/6 - 2*c**3/3 + 33*c**2 + 2. Factor d(z).
(z + 1)*(z + 2)*(5*z - 2)
Let r = -1 + 6/5. Let k(b) = b**2 - 16*b + 30. Let z be k(14). Factor -r*t**z + 0*t + 0.
-t**2/5
Let k(a) = -3*a**4 - 13*a**3 + 4*a**2 + 23*a + 4. Let n(b) = 4*b**4 + 14*b**3 - 4*b**2 - 22*b - 4. Let o(j) = -4*k(j) - 5*n(j). Determine v so that o(v) = 0.
-2, -1, -1/4, 1
Let c(g) be the third derivative of g**9/120960 - g**8/40320 - g**5/60 - 3*g**2. Let s(y) be the third derivative of c(y). Factor s(m).
m**2*(m - 1)/2
Let k(j) = 37*j**3 - 78*j**2 + 20*j. Let t(z) = 186*z**3 - 389*z**2 + 100*z. Let l(b) = -11*k(b) + 2*t(b). Find c such that l(c) = 0.
0, 2/7, 2
Let o be 50/15*(78/15 + -5). Let 2/3*k**4 - o*k**2 - 1/3*k**5 + 0*k**3 + 1/3*k + 0 = 0. Calculate k.
-1, 0, 1
Suppose -8*u + 4*u = 2*k + 16, 0 = -5*u + 3*k - 9. Let n be -2 + (-6)/9 - u. Let n - 1/3*q**2 + 0*q = 0. What is q?
-1, 1
Let f(j) be the third derivative of 0*j**4 - 5*j**2 - 1/420*j**6 + 0*j**3 + 0*j + 0 + 1/735*j**7 + 0*j**5. Determine w, given that f(w) = 0.
0, 1
Let c be (-16 + 19)/((-6)/(-4)). Let z(v) be the first derivative of -1 + 2/3*v**3 + 2*v + 2*v**c. Suppose z(q) = 0. What is q?
-1
Suppose -x = -5*q + 41 - 16, -15 = -2*x - 3*q. Factor -2/3*m**3 + 2/3*m + 0 + x*m**2.
-2*m*(m - 1)*(m + 1)/3
Let f(n) be the first derivative of 3/10*n**5 + 5 + 0*n + 0*n**3 - 3*n**2 + 9/8*n**4. Factor f(m).
3*m*(m - 1)*(m + 2)**2/2
Let d(a) = 5*a**2 - a**3 + 4 + 0 - 4*a - 2. Let p be d(3). Factor -p*k**2 + 4*k + 6*k - 2 + 0*k.
-2*(k - 1)*(4*k - 1)
Let s(c) = c**3 - 3*c**2 + 6*c - 13. Let i be s(3). Factor -8/3*q**3 + 2/3*q**i + 0*q**4 - 4/3*q**2 + 2*q + 4/3.
2*(q - 2)*(q - 1)*(q + 1)**3/3
Let a(k) be the first derivative of 4/9*k - 7 + 1/9*k**2 - 2/27*k**3. Determine n, given that a(n) = 0.
-1, 2
Let w be (-2)/(10/15) + 1*3. What is n in w - 2/11*n**2 - 2/11*n = 0?
-1, 0
Factor -8/13*b - 8/13 + 2/13*b**2 + 2/13*b**3.
2*(b - 2)*(b + 1)*(b + 2)/13
Let b be (-9)/(-6)*1824/21. Let k = b + -130. Determine z so that -k*z**2 - 8/7*z - 8/7 = 0.
-2
Factor -3*u**4 + 3*u**3 - 7 + 6*u**2 - 2 + 9.
-3*u**2*(u - 2)*(u + 1)
Let g(d) be the second derivative of 0*d**2 - 2/15*d**3 - 2*d - 1/30*d**4 + 0 + 3/50*d**5. Factor g(v).
2*v*(v - 1)*(3*v + 2)/5
Find m, given that -2*m**3 - 3*m**3 + 52*m - 12 + 12*m**2 - 48*m + m**3 = 0.
-1, 1, 3
Solve -21*t**3 - 3*t + 1139 - 9*t**4 - 15*t**2 - 1139 = 0 for t.
-1, -1/3, 0
Let j(d) be the first derivative of 1/2*d**5 + 4/3*d**3 + 0*d**2 - 1/15*d**6 - 4/3*d**4 - 2*d - 1. Let m(c) be the first derivative of j(c). Factor m(l).
-2*l*(l - 2)**2*(l - 1)
Let h be (-244)/(-132) - 5/3. Factor 12/11*v - 18/11 - h*v**2.
-2*(v - 3)**2/11
Suppose -15 = -4*a + 1. Suppose 0 = -2*s + a*s - 4. Factor 1/4*r**3 + 0 + 0*r - 1/4*r**s.
r**2*(r - 1)/4
Suppose -128*b = -123*b - 10. What is h in -2/9*h**b - 2/9*h + 0 = 0?
-1, 0
Let p(z) be the third derivative of -z**8/6720 + z**7/1260 - z**6/720 + z**4/24 - z**2. Let r(b) be the second derivative of p(b). Factor r(u).
-u*(u - 1)**2
Let i(p) be the second derivative of -4*p - 3*p**2 - p**4 + 5/2*p**3 + 3/20*p**5 + 0. Factor i(z).
3*(z - 2)*(z - 1)**2
Let q(a) be the second derivative of 0 - 1/150*a**6 - 1/100*a**5 + 1/60*a**4 + 0*a**2 + 0*a**3 + 1/210*a**7 + 2*a. Let q(j) = 0. Calculate j.
-1, 0, 1
Suppose -5*p + 25 = -4*m, -2*m + 2*p - 6*p + 20 = 0. Let f(y) be the first derivative of 1/8*y**4 - 2 + m*y**3 + 0*y - 1/4*y**2. Suppose f(k) = 0. What is k?
-1, 0, 1
Let t(c) = 25*c**2 - c. Let o(r) = 99*r**2 - 5*r + 2. Let k(z) = z**2 + z - 1. Let q(x) = 2*k(x) + o(x). Let g(f) = 6*q(f) - 26*t(f). Factor g(i).
-4*i*(11*i - 2)
Factor 6/5 + 4/5*c - 2/5*c**2.
-2*(c - 3)*(c + 1)/5
Let b(w) be the second derivative of -w**7/42 - w**6/10 + w**5/20 + 7*w**4/12 - 2*w**2 - 15*w. Factor b(d).
-(d - 1)**2*(d + 1)*(d + 2)**2
Let h be 50/12 + -1 + 18/(-6). Factor -2/3 - 2/3*j - h*j**2.
-(j + 2)**2/6
Let m(u) be the second derivative of 0 + 1/9*u**3 + 1/6*u**4 + 0*u**2 + 1/10*u**5 + 1/45*u**6 + 5*u. Factor m(d).
2*d*(d + 1)**3/3
Let l(q) be the first derivative of q**4/4 - 7*q**3/3 + 3*q**2 + q - 2. Let h be l(6). What is j in -12*j**2 + 0*j - 7*j**3 + j + 1 - 4*j + h = 0?
-1, 2/7
Solve -24/11*m**3 - 12/11*m**2 - 20/11*m**4 - 6/11*m**5 - 2/11*m + 0 = 0 for m.
-1, -1/3, 0
Suppose 3/2*k + 3 - 54*k**2 = 0. Calculate k.
-2/9, 1/4
Factor -3*l**2 - 2*l + 1/2 + 2*l**3 + 5/2*l**4.
(l - 1)*(l + 1)**2*(5*l - 1)/2
Suppose a - 6 = -a. What is v in 2*v**5 - a*v + 5*v - 8*v**4 - 8*v**2 - 2*v**3 + 14*v**3 = 0?
0, 1
Let k be 5/(-15) - (-4)/6. Let d(c) be the second derivative of -k*c**3 + 1/15*c**6 + 0*c**2 - 1/6*c**4 + 0 + 2*c + 1/10*c**5. Let d(m) = 0. Calculate m.
-1, 0, 1
Suppose 168 - 7*f**3 - 96*f - 2*f**3 - 7*f**2 - 72 - 59*f**2 = 0. What is f?
-4, 2/3
Suppose 3*k + 4*p + 11 = 0, 0 = -3*p + 8*p + 25. Suppose -2/9 + 2/9*m**k + 2/9*m**2 - 2/9*m = 0. Calculate m.
-1, 1
Solve -48*c**4 - 4*c**5 - 5*c**3 + 33*c**4 + 23*c**4 + 17*c**3 = 0.
-1, 0, 3
Let a(q) be the first derivative of q**3/2 + q**2 - 2*q + 5. Factor a(i).
(i + 2)*(3*i - 2)/2
Let s(l) = -6*l. Let r be s(1). Let t be ((-8)/2)/(20/r). Factor -2/5*b**2 - 4/5 - t*b.
-2*(b + 1)*(b + 2)/5
Let a = 6 + -4. Let k be (-1 - 1)/a*-3. Find w, given that 3*w**4 - 5*w**5 + 2*w**5 - 3*w**k + w**2 + 2*w**5 = 0.
0, 1
Let i(l) be the third derivative of 0*l + 0*l**3 + 0 + 0*l**6 + 5*l**2 + 1/840*l**8 - 1/60*l**4 + 2/525*l**7 - 1/75*l**5. Factor i(t).
2*t*(t - 1)*(t + 1)**3/5
Let u = -6 - -16. Suppose -4*q = 5*h - 23, -3*q - u + 4 = -4*h. Factor 3 + y + 3*y**2 - q - 5*y.
(y - 1)*(3*y - 1)
Let g(b) be the third derivative of -b**7/735 + b**6/420 + b**5/105 - 10*b**2. Suppose g(q) = 0. Calculate q.
-1, 0, 2
Let z(c) be the second derivative of 3/2*c**2 + 1/480*c**6 + 1/96*c**4 + 0 + 0*c**3 - 1/120*c**5 - 2*c. Let p(d) be the first derivative of z(d). Factor p(x).
x*(x - 1)**2/4
Suppose 0 = -y - 3*l - 4, 3*y - l = y + 6. Factor -7*x**3 + 23*x**2 - 26*x**y + 16*x**3 + 3*x**5 - 9*x**4.
3*x**2*(x - 1)**3
Suppose -4 = -s + 1. Let l(k) be the third derivative of 0*k**3 - 1/180*k**6 + k**2 + 0 - 1/90*k**s + 0*k + 0*k**4. Factor l(i).
-2*i**2*(i + 1)/3
Factor -4/3*t**3 + 4/3*t - 2/3*t**2 + 0 + 2/3*t**4.
2*t*(t - 2)*(t - 1)*(t + 1)/3
Let x(d) = 34*d**2 - 73*d - 71. Let p(y) = 8*y**2 - 18*y - 18. Let i(t) = -9*p(t) + 2*x(t). What is q in i(q) = 0?
-1, 5
Let f(m) be the second derivative of -3*m**4/4 + 5*m**3 - 9*m**2/2 + 7*m. Let f(n) = 0. Calculate n.
1/3, 3
Let n(c) = -c**2 + 7*c + 9. Let d be n(8). Let x(q) be the first derivative of 1/5*q**2 - d + 0*q + 2/15*q**3. Determine k, given that x(k) = 0.
-1, 0
Let y = 8/21 + -1753/4620. Let z(q) be the third derivative of 0*q + 0*q**3 + 3*q**2 + 0*q**4 + 1/1155*q**7 + 0 - y*q**6 + 0*q**5. Factor z(w).
2*w**3*(w - 1)/11
Let y be ((-7)/(-49))/((-1)/(7/(-6))). Let k(s) be the third derivative of 1/240*s**6 + 5/48*s**4 + 0 - y*s**3 + 0*s + s**2 - 1/30*s**5. Factor k(x).
(x - 2)*(x - 1)**2/2
Let v be (-6)/12 + 10/14. Let m = 13/28 - v. Factor m*d**2 - 1/4 - 1/4*d + 1/4*d**3.
(d - 1)*(d + 1)**2/4
Let q be 8*2/24*(-9)/(-4). Factor 0*t + q*t**4 + 0 - 3*t**3 + 3/2*t**2.
3*t**2*(t - 1)**2/2
Solve 0 - 1/3*y**2 - 1/6*y**3 - 1/6*y = 0 for y.
-1, 0
Let -8/3*v**3 - 2*v**2 + 8/3*v + 8/3 - 2/3*v**4 = 0. What is v?
-2, -1, 1
Let t = -23 + 26. Let x(v) be the first derivative of -2/3*v**t - 10/3*v**6 - 3 + 0*v - 2*v**2 + 6*v**4 + 2/5*v**5. Suppose x(y) = 0. Calculate y.
-1, -2/5, 0, 1/2, 1
Suppose -5*t - 6 = -3*t. Let b be (4 - 7)/(t/2). Find j such that 3*j**b - 12*j + 6 + 2 + 6 - 2 = 0.
2
Suppose -5*d + 6*d = 0. Let g be (((-14)/24)/(-7))/((-6)/(-16)). Suppose d*x**3 + 2/9*x**4 - g*x**2 + 0 + 0*x = 0. Calculate x.
-1, 0, 1
Let d(m) = 3*m**4 + 6*m**3 - 6*m**2 + 2*m + 5. Suppose -2*c = -4*c + 10. Let z(w) = w**4 + 3*w**3 - 3*w**2 + w + 2. Let h(n) = c*z(n) - 2*d(n). Factor h(g).
-g*(g - 1)**3
Let 2*s**3 - 14*s + 14*s + 4*s**2 = 