) be the first derivative of 3/2*d**2 + 0*d + 6 + m*d**3. Factor b(u).
u*(u + 3)
Factor -3/4*w - 9/8*w**2 - 3/8*w**3 + 0.
-3*w*(w + 1)*(w + 2)/8
Let j = 1065 + -5301/5. Let h = 9786/3055 - 2/611. Factor h*w**5 + 9/5*w**3 + j*w**4 + 0 + 0*w + 1/5*w**2.
w**2*(w + 1)*(4*w + 1)**2/5
Let l(q) be the second derivative of -9*q + 1/72*q**4 - 1/2*q**3 + 0 + 27/4*q**2. Factor l(h).
(h - 9)**2/6
Factor 4*h**2 - 60 - 12*h**2 + 36*h**2 - 172*h + 12*h**3.
4*(h - 3)*(h + 5)*(3*h + 1)
Let f be ((-12)/18)/(9/(-27)). Determine k so that 3/4*k**f - 1/2*k - 1/4*k**3 + 0 = 0.
0, 1, 2
Suppose 30*c + 9*c = 0. Let i(j) be the third derivative of 0 + 0*j**6 + c*j**4 - 1/490*j**7 + 1/784*j**8 - 2*j**2 + 0*j + 0*j**5 + 0*j**3. Factor i(v).
3*v**4*(v - 1)/7
Let w be (-7)/(-3) + 8/12. Factor -6/5*s**2 - 3/5*s**w - 3/5*s + 0.
-3*s*(s + 1)**2/5
Suppose 0 = -9*b + 4*b + 15. Factor 8*s**3 - 5*s**5 - 10*s**4 + 4*s**b - 17*s**3.
-5*s**3*(s + 1)**2
Let n(k) = k**3 + 4*k**2 + 3*k + 3. Let d be n(-3). Suppose f = r, 4*r + 2*f = 17 - 5. Factor 0 - 1/2*o**5 + 2*o**r - 1/2*o - 3*o**d + 2*o**4.
-o*(o - 1)**4/2
Let m(p) be the third derivative of -2*p**6/105 + p**5/15 - p**4/21 - 2*p**3/21 - 11*p**2 + p. Factor m(f).
-4*(f - 1)**2*(4*f + 1)/7
Factor -3 + 1/4*y + 5/2*y**2 - 3/4*y**3.
-(y - 3)*(y + 1)*(3*y - 4)/4
Let m be (8 + 155/(-15))*-3. Let a(f) be the first derivative of 2/27*f**3 + 2/3*f**2 + 2*f - m. Factor a(o).
2*(o + 3)**2/9
Let g(z) = z**2 + 6*z + 13. Let j be g(-4). Let u(y) be the third derivative of -2*y**2 - 1/240*y**6 + 0*y**3 + 1/24*y**4 + 0*y + 0 + 1/120*y**j. Factor u(p).
-p*(p - 2)*(p + 1)/2
Suppose 0*z + 18/11*z**4 - 6/11*z**5 - 12/11*z**3 + 0 + 0*z**2 = 0. Calculate z.
0, 1, 2
Suppose 0 = 9*n - 17 - 28. Suppose 4*c = 5*a - 15, -3*a + 4 = -n*c - 5. Suppose 2/3*t**2 + c*t - 5/3*t**3 + 0 = 0. Calculate t.
0, 2/5
Let l be (-77)/14 - (8 - 15). Let k(h) be the first derivative of -2 + 3/4*h**4 - 3*h**3 + 9*h - l*h**2. Factor k(t).
3*(t - 3)*(t - 1)*(t + 1)
Let n(t) be the second derivative of -t**6/45 - t**5/15 + 7*t**4/18 - 4*t**3/9 - 27*t - 2. Factor n(j).
-2*j*(j - 1)**2*(j + 4)/3
Let 0*w + 16/15*w**4 + 14/15*w**3 + 4/15*w**2 + 2/5*w**5 + 0 = 0. What is w?
-1, -2/3, 0
Let c be 20/(-4) - (-20)/(0 + 4). Let s(h) be the second derivative of -1/6*h**3 + 1/5*h**5 + 0*h**2 + h + c - 1/4*h**4. Determine b, given that s(b) = 0.
-1/4, 0, 1
Let z(k) = -k**3 - 9*k**2 + 9*k + 3. Let i be z(-10). Let r = i + -10. Solve -p + 5*p**r - p**3 - 2*p**3 - p**5 = 0 for p.
-1, 0, 1
Suppose -19*f + 26*f = 210. Let x be f/(-45) - (-32)/21. What is k in x*k - 8/7*k**2 + 2/7*k**3 + 0 = 0?
0, 1, 3
Let s(r) be the third derivative of -r**8/280 - 34*r**7/1575 + 2*r**6/225 - 236*r**2. Factor s(z).
-2*z**3*(z + 4)*(9*z - 2)/15
Determine o so that -4 - 429*o - 26 - 3*o**2 + 396*o = 0.
-10, -1
Find h such that 13/2*h**3 + 56*h - 1/2*h**4 - 32 - 30*h**2 = 0.
1, 4
Let x(w) = -27*w - 1809. Let m be x(-67). Factor 2/3*d**5 - 2/3*d**4 - 4/3*d**3 + 0*d**2 + m + 0*d.
2*d**3*(d - 2)*(d + 1)/3
Let l(v) = -2*v - 1. Let x be l(-1). Let d be -1 - (12/(-3) - x). Factor 0*q**4 + 2*q**d + 4*q**2 + 0*q**2 - 6*q**3.
2*q**2*(q - 2)*(q - 1)
Let o(m) = -2*m**2 + 9*m - 6. Let b be o(3). Let j(a) be the second derivative of 1/10*a**b + 1/60*a**4 + 4*a + 0 + 1/5*a**2. Factor j(z).
(z + 1)*(z + 2)/5
Suppose -25 = 5*n, 2*n = f + 5*n + 12. Let m(a) be the first derivative of 0*a**3 - 3*a**2 + 2*a**3 - 1 + f - 3*a**3. Factor m(o).
-3*o*(o + 2)
Let t(p) be the first derivative of 19 - 5/2*p**2 - 5/3*p**3 + 5/4*p**4 + 5*p. Suppose t(y) = 0. What is y?
-1, 1
Find t, given that -2/9*t**3 + 34/9*t - 10/3 - 2/9*t**2 = 0.
-5, 1, 3
Let r(j) be the second derivative of -32*j**6/105 - 216*j**5/35 + 37*j**4/7 - 4*j**3/3 + 3*j. Factor r(b).
-4*b*(b + 14)*(4*b - 1)**2/7
Let d = 2/19 + 32/57. Let o(s) = -718*s + 1436. Let b be o(2). Factor d*a**2 + b*a + 0.
2*a**2/3
Suppose -5*x - 3*m + 135 = 0, 3*x - 3*m - 2*m - 47 = 0. Let z(l) = -l**2 - l - 1. Let k(y) = -9*y**2 - 12*y - 12. Let c(i) = x*z(i) - 3*k(i). Solve c(h) = 0.
-2
Let r(h) be the first derivative of -2*h**5/45 - 19*h**4/18 + 82*h**3/27 - 7*h**2/3 + 136. Factor r(o).
-2*o*(o - 1)**2*(o + 21)/9
Let d(y) be the third derivative of -1/84*y**4 + 0*y**3 + 1/420*y**6 - 2*y**2 + 0*y**5 + 0*y + 0. Let d(b) = 0. Calculate b.
-1, 0, 1
Factor 9 - 1/2*w**2 + 15/4*w - 1/4*w**3.
-(w - 4)*(w + 3)**2/4
Let i(p) be the second derivative of p**7/420 - p**6/80 - p**5/30 + 33*p**2/2 - 49*p. Let u(f) be the first derivative of i(f). Factor u(t).
t**2*(t - 4)*(t + 1)/2
Let h(g) = -5*g - 12. Let y be h(8). Let t be 150/39 + (-8)/y. Find v such that t*v**3 - 2*v - 2*v**5 - 19 + 19 = 0.
-1, 0, 1
Let u = 520 + -352. Let q = -1173/7 + u. Factor 0 + 0*m + 0*m**2 - 3/7*m**5 + 6/7*m**4 - q*m**3.
-3*m**3*(m - 1)**2/7
Let r be -8*(-150)/(-240) - (-11)/2. Solve 0*k**3 + k**2 - r*k**4 + 0*k - 1/2 = 0 for k.
-1, 1
Let u(o) be the third derivative of -o**5/105 - 2*o**4/21 - 8*o**3/21 - o**2 - 10*o. Factor u(c).
-4*(c + 2)**2/7
Let j(i) be the third derivative of -i**8/1344 - i**7/168 - i**6/60 - i**5/60 - 95*i**2. Factor j(k).
-k**2*(k + 1)*(k + 2)**2/4
Factor -2/5*b**5 - 18/5*b - 28/5*b**3 + 4/5 + 12/5*b**4 + 32/5*b**2.
-2*(b - 2)*(b - 1)**4/5
Let p(m) = -m - 2. Let b be p(0). Let c be b/(-2) + 9/3. Factor 4 - 14*h**2 + 20*h + 2*h**2 + c.
-4*(h - 2)*(3*h + 1)
Factor 32*i - 12*i - 10*i + 5*i**2 - 75.
5*(i - 3)*(i + 5)
Let j(n) be the second derivative of -4/15*n**5 - 2*n**2 - 26/9*n**3 + 0 + 29*n - 16/9*n**4. Solve j(z) = 0.
-3, -1/2
Let a(m) be the second derivative of m**6/50 + 3*m**5/50 - m**4/20 - m**3/5 - 88*m. Let a(f) = 0. Calculate f.
-2, -1, 0, 1
Factor 24/5*p + 2/5*p**2 + 0 - 2/5*p**3.
-2*p*(p - 4)*(p + 3)/5
Solve 2*s**4 + 289/2*s + 0 + 561*s**2 - 135/2*s**3 = 0.
-1/4, 0, 17
Suppose -3*r + 4*r - 3*g = -10, 5*r - 26 = -4*g. Suppose 4*y - y + 4*z = 38, 3*z - 27 = -r*y. Factor -3*l**3 - y*l**3 - 6*l + 6*l**3 - 9*l**2.
-3*l*(l + 1)*(l + 2)
Let p be 128/(-24)*5/(-60). Let a(l) be the first derivative of -p*l**3 + 0*l - 2/3*l**2 + 8. Factor a(d).
-4*d*(d + 1)/3
Let l(c) = -c**2 - 32*c + 3228. Let o be l(43). Factor 0 + 0*u - 6/5*u**2 + 9/5*u**o.
3*u**2*(3*u - 2)/5
Let i(o) be the first derivative of -o**8/1680 + o**7/1050 + o**6/600 - o**5/300 + 4*o**2 + 16. Let u(x) be the second derivative of i(x). Factor u(a).
-a**2*(a - 1)**2*(a + 1)/5
Let n(y) be the first derivative of -4*y**6/3 + 16*y**5/5 + 31*y**4/2 - 142*y**3/3 + 45*y**2 - 18*y - 205. Suppose n(r) = 0. What is r?
-3, 1/2, 1, 3
Factor -1 - m**3 + 3/4*m**2 + m + 1/4*m**4.
(m - 2)**2*(m - 1)*(m + 1)/4
Let l = 2285 + -2282. Factor 0 - 4/7*z - 2/7*z**l - 6/7*z**2.
-2*z*(z + 1)*(z + 2)/7
Solve -2*o**2 + 0*o + 4*o**4 - 64*o**3 + 0*o**2 + 73*o**3 - 9*o - 2 = 0 for o.
-2, -1, -1/4, 1
Let g(t) = t**3 - 3*t - 1. Let h(a) = 7*a**3 - 66*a**2 + 111*a - 67. Let s(r) = 5*g(r) - h(r). Factor s(v).
-2*(v - 31)*(v - 1)**2
Let r(x) be the third derivative of x**8/168 - x**7/35 - x**6/60 + 11*x**5/30 - x**4 + 4*x**3/3 + 2*x**2 + 101. Let r(l) = 0. What is l?
-2, 1, 2
Let y = -18289/7 - -2615. Factor -4/7*l**3 + 0*l + 0 - y*l**2.
-4*l**2*(l + 4)/7
Suppose -480 = -11*d - d. Let k be 2/(d/92) + -4. Let 0 - 3/5*f + k*f**2 = 0. Calculate f.
0, 1
Let i(v) be the second derivative of -1/90*v**6 + 0*v**3 - 35*v + 0*v**5 + 0*v**2 + 0 + 1/36*v**4. Determine k so that i(k) = 0.
-1, 0, 1
Let z = 475 - 1450/3. Let o = 281/33 + z. Factor 0 - o*x + 2/11*x**2.
2*x*(x - 1)/11
Let g(u) = -u**2 + 3*u + 4. Let q(m) = -m**2 + 2*m + 3. Let r(w) = -4*g(w) + 3*q(w). What is a in r(a) = 0?
-1, 7
Let p(k) be the third derivative of k**8/252 + 4*k**7/315 - 4*k**6/15 - 32*k**5/45 + 64*k**4/9 - 19*k**2 - 16. Let p(u) = 0. Calculate u.
-4, 0, 2, 4
Suppose -100 = 80*d - 260. Find t, given that 16/3 + 0*t - 4*t**3 - 28/3*t**d = 0.
-2, -1, 2/3
Let c(g) be the second derivative of -1/70*g**5 - 2/21*g**4 + 0*g**2 - 10*g - 4/21*g**3 + 0. Let c(n) = 0. What is n?
-2, 0
Let t(n) be the second derivative of -n**4/32 + n**3 + 51*n**2/16 - n - 181. Factor t(l).
-3*(l - 17)*(l + 1)/8
Let l(j) be the second derivative of j**7/1680 - j**6/144 + j**5/30 - j**4/12 + 16*j**3/3 - 42*j. Let c(n) be the second derivative of l(n). Factor c(d).
(d - 2)**2*(d - 1)/2
Let n be 222/37 - (-128)/(-22). Let 32/11*w**2 + 18/11*