(d) = 2*b(d) - i(d). Factor m(j).
-4*(j - 1)*(j + 128)
Factor -10*c**2 - 8 - 13*c + 9*c**3 + 12*c - 7*c**3 + 17*c.
2*(c - 2)**2*(c - 1)
Let c(l) be the first derivative of -1/55*l**5 + 0*l - 3 - 3/22*l**2 - 7/33*l**3 - 5/44*l**4. Suppose c(b) = 0. Calculate b.
-3, -1, 0
Let d(y) be the third derivative of -y**7/280 - 3*y**6/40 - 27*y**5/80 + y**4/8 + 9*y**3/2 - 126*y**2 - 4*y. Let d(b) = 0. Calculate b.
-9, -2, 1
Let a(t) be the first derivative of 10 + 2/39*t**3 + 1/13*t**4 - 2/13*t**2 - 2/65*t**5 + 0*t. Suppose a(k) = 0. What is k?
-1, 0, 1, 2
Let v(l) be the first derivative of l**7/210 + l**6/30 + l**5/10 + l**4/6 + 16*l**3/3 + 17. Let z(p) be the third derivative of v(p). Factor z(k).
4*(k + 1)**3
Let d(z) = -3*z**4 - 5*z**3 + 47*z**2 + 341*z - 2. Let i(b) = 4*b**4 + 4*b**3 - 46*b**2 - 340*b + 3. Let p(g) = 3*d(g) + 2*i(g). Factor p(w).
-w*(w - 7)*(w + 7)**2
Let j(f) be the first derivative of -3*f**2 - 17 + 4*f + 2/3*f**3. Factor j(z).
2*(z - 2)*(z - 1)
Let q(w) = 41*w**3 + 46*w**2 - 129*w + 94. Let a(y) = -52*y**3 - 47*y**2 + 129*y - 95. Let r(l) = -4*a(l) - 5*q(l). Let r(d) = 0. Calculate d.
1, 3, 10
Suppose 4*m + 12 = -4*o, 0 = -2*o + 3 - 9. Suppose 4*k + 0*k = m. Factor -1/2*n**2 + 0 + k*n.
-n**2/2
Let v = 15241/3264 - 3/1088. Solve 40/3*h**2 + 2/3*h**5 + v*h**4 + 12*h**3 + 0 + 16/3*h = 0.
-2, -1, 0
Factor -351/4*b - 18*b**2 - 3/4*b**3 + 507/2.
-3*(b - 2)*(b + 13)**2/4
Suppose f + 10 = 12. Let u(p) be the second derivative of -1/3*p**4 + 0 + 5*p + 0*p**f - 1/10*p**5 - 1/3*p**3. Factor u(c).
-2*c*(c + 1)**2
Let b = 12809/2 - 6404. Suppose 1/2 + 1/2*x**3 - 1/2*x - b*x**2 = 0. Calculate x.
-1, 1
Factor -1/2*p**4 - 9*p + 0 + 2*p**3 + 3/2*p**2.
-p*(p - 3)**2*(p + 2)/2
Let r be ((-40)/25)/2*-5. Suppose 0*i + 2*x = -2*i, -4*i = -r*x. Factor -4/9*o**3 + 0*o - 2/9*o**2 + i - 2/9*o**4.
-2*o**2*(o + 1)**2/9
Let a(s) be the third derivative of s**8/60480 - s**7/15120 - s**6/1080 + 8*s**5/15 + 9*s**2. Let p(f) be the third derivative of a(f). Factor p(b).
(b - 2)*(b + 1)/3
Let d = -4044 + 4046. Factor 0 + d*i**4 + i**2 + 5/2*i**3 + 0*i + 1/2*i**5.
i**2*(i + 1)**2*(i + 2)/2
Let t(i) = -3*i**4 + 32*i**3 - 35*i**2 + 22*i. Let m(n) = -3*n**4 + 34*n**3 - 34*n**2 + 23*n. Let v(u) = 4*m(u) - 5*t(u). Suppose v(j) = 0. Calculate j.
0, 1, 6
Let u(t) be the second derivative of -675*t**4/8 + 15*t**3/2 - t**2/4 + 105*t. Factor u(d).
-(45*d - 1)**2/2
Let y(x) = 2*x**3 - x**2 - x. Let d be y(2). Find q such that 670*q + d*q**2 - 63*q**4 - 27*q**5 + 17*q**2 - 676*q - 3*q**3 = 0.
-2, -1, 0, 1/3
Let w(o) = -o - 1. Let l be w(1). Let a be l/8 - (-245)/20. Determine x, given that x**4 - 12*x**2 + 0*x**2 - 12*x**3 - 4*x + a*x + 7*x**4 = 0.
-1, 0, 1/2, 2
Suppose 5*r + 20 - 35 = 0. Let m(g) = -g**2. Let a(t) = -t**4 - 4*t**3 + 10*t**2 - 6*t. Let s(y) = r*a(y) - 3*m(y). Factor s(h).
-3*h*(h - 1)**2*(h + 6)
Let t be 3 - (1 - 9/(-12)*-4). Let k(y) be the second derivative of 3*y + 0*y**3 - 1/20*y**t + 0*y**4 - 1/30*y**6 + 0*y**2 + 0. Factor k(z).
-z**3*(z + 1)
Let n(g) be the first derivative of -g**6/4 - 12*g**5/5 - 63*g**4/8 - 11*g**3 - 6*g**2 - 44. Determine p so that n(p) = 0.
-4, -2, -1, 0
Let d(h) be the first derivative of -10 + 8*h + 0*h**2 + 1/30*h**6 + 1/12*h**4 + 1/10*h**5 + 0*h**3. Let z(w) be the first derivative of d(w). Factor z(b).
b**2*(b + 1)**2
Let v(q) = -2*q**2 - q - 2. Let t(a) = 4*a**2 + 41*a - 30. Let z(k) = t(k) + 3*v(k). Determine s so that z(s) = 0.
1, 18
Find b, given that 21/4*b**2 + 15/2 - 111/4*b = 0.
2/7, 5
Let p(r) = r**3 + 4*r**2 + r - 4. Let h be p(-3). Suppose 3 = h*m - 1. Solve 0*c - 1/7*c**5 - 1/7*c**4 + 1/7*c**3 + 1/7*c**m + 0 = 0.
-1, 0, 1
Let s(y) be the first derivative of y**6/9 - 17*y**5/15 + y**4/2 + 17*y**3/9 - 4*y**2/3 + 197. Suppose s(w) = 0. Calculate w.
-1, 0, 1/2, 1, 8
Let -12*w - 5/4*w**2 + 51/4*w**3 - 5 - 3/4*w**5 + 25/4*w**4 = 0. Calculate w.
-1, -2/3, 1, 10
Let s(k) be the second derivative of -k**4/2 + 9*k**2/2 + 6*k. Let b(h) = 11*h**2 - 19. Let o(f) = -3*b(f) - 5*s(f). Factor o(w).
-3*(w - 2)*(w + 2)
Let o = 363 + -359. Let t(w) be the first derivative of -20*w**2 + 8*w + 26*w**3 - 1 - 37/2*w**o - w**6 + 34/5*w**5. Determine i, given that t(i) = 0.
2/3, 1, 2
Let p be 0/((-3 + 6)*-1). Factor d - 4*d**2 - 5*d + p*d**2.
-4*d*(d + 1)
Suppose c = -4*n + 13, 3*n + 4 = -n. Let x = 20 - c. Find u such that 5*u**3 + 4*u**2 - u**x - 6*u**3 - 2*u = 0.
0, 1
Let w(u) = 118*u + 1. Let h be w(2). Let x = h - 235. Factor 0 + 9/2*l**x + 5/2*l**4 + 6*l**3 + l.
l*(l + 1)**2*(5*l + 2)/2
Let b(d) be the first derivative of -d**2 + 4/3*d - 5 + 1/6*d**4 + 0*d**3. Factor b(i).
2*(i - 1)**2*(i + 2)/3
Let r(z) be the first derivative of -15/2*z**2 + 6*z + 6 - 7*z**3. Factor r(m).
-3*(m + 1)*(7*m - 2)
Let q(g) = 29*g**2 + g + 2. Let c(i) = -7*i**2 - 2*i. Let m(w) = -26*c(w) - 6*q(w). Factor m(f).
2*(f + 6)*(4*f - 1)
Let u(r) be the third derivative of -r**7/210 - 43*r**6/240 - 11*r**5/6 + 121*r**4/48 + 729*r**2. Factor u(w).
-w*(w + 11)**2*(2*w - 1)/2
Suppose 19*a = 15*a + 68. Factor 12*p**2 - a*p - 8 - 4*p**3 + 2*p**4 - 7*p**4 + p**4 + 21*p.
-4*(p - 1)**2*(p + 1)*(p + 2)
Let u be 297/273 + (-28)/(-196). Factor 32/13 + 2/13*p**2 + u*p.
2*(p + 4)**2/13
Let f = -21/1954 + 1535991/13678. Let y = -112 + f. Factor -4/7*r**2 + 0 + 4/7*r**4 + 2/7*r**5 + 0*r**3 - y*r.
2*r*(r - 1)*(r + 1)**3/7
Let w(s) be the first derivative of -1/12*s**4 + 0*s - 3/2*s**2 - 5 - 2/3*s**3. Suppose w(g) = 0. Calculate g.
-3, 0
Let c(v) be the second derivative of -v**5/130 + v**4/6 + 29*v**3/39 + 15*v**2/13 + 5*v + 4. Let c(j) = 0. What is j?
-1, 15
Suppose -49*a + 25 = -171. Let m(w) be the second derivative of -1/60*w**5 - 1/6*w**2 + 0 - 2*w - 1/6*w**3 - 1/12*w**a. Find f such that m(f) = 0.
-1
Let n be (145/29)/(60/48). Find r such that 1/6 + r**2 + 2/3*r + 2/3*r**3 + 1/6*r**n = 0.
-1
Let b = -3668/459 + 229/27. Let a = b - -3/17. Determine j so that -2/3*j - 2/3*j**2 + 2/3*j**3 + a = 0.
-1, 1
Determine p, given that -12/5*p + 0 + 3*p**4 + 3/5*p**5 - 3*p**2 + 9/5*p**3 = 0.
-4, -1, 0, 1
Let z(d) be the third derivative of -d**5/12 - 35*d**4/2 + 425*d**3/6 - 222*d**2 + d. Factor z(j).
-5*(j - 1)*(j + 85)
Let y be (-7 - -17)/((-95)/(-4) - 2). Let g = 6/29 + y. Factor g*i + 1/3 + 1/3*i**2.
(i + 1)**2/3
Let g(o) = 4*o**4 - 24*o**3 - 96*o**2 - 104*o - 43. Let t(f) = -2*f**4 + 12*f**3 + 48*f**2 + 52*f + 21. Let y(m) = 6*g(m) + 14*t(m). Solve y(h) = 0.
-1, 9
Let l(c) = -2*c**3 - 50*c**2 - 458*c - 1212. Let d(a) = 4*a**3 + 98*a**2 + 914*a + 2425. Let o(v) = -2*d(v) - 5*l(v). Factor o(x).
2*(x + 5)*(x + 11)**2
Let m(y) be the first derivative of -y**7/56 - 3*y**6/40 - 3*y**5/40 - 11*y - 10. Let p(t) be the first derivative of m(t). Solve p(d) = 0 for d.
-2, -1, 0
Suppose 0 = 5*c - 4*z + 25, -1 = -4*c + z - 2*z. Let t = c - -5. Factor -2*p**4 + 0*p**3 + 2*p**2 - t*p + 4*p**3 + 0*p**4.
-2*p*(p - 2)*(p - 1)*(p + 1)
Let v(a) be the first derivative of 5*a**6/6 - 5*a**5 + 45*a**4/4 - 35*a**3/3 + 5*a**2 - 256. Let v(y) = 0. Calculate y.
0, 1, 2
Let n(u) be the first derivative of 0*u + 1/10*u**2 - 1 + 1/15*u**3. Factor n(s).
s*(s + 1)/5
Suppose 3/2*n**4 + 0*n**3 + 0*n**2 + 0*n + 1/2*n**5 + 0 = 0. What is n?
-3, 0
Let j(b) = 6*b**2 - 31*b - 4. Let q(n) = n**2 + 11*n**2 - 5*n**2 - 1 - 6*n**2 - 6*n. Let f(o) = 2*j(o) - 11*q(o). Factor f(l).
(l + 1)*(l + 3)
Suppose -98 - 28*t + 14*t**3 - 10*t**3 + 122 = 0. What is t?
-3, 1, 2
Let y be (2 + 17/2)*(-120)/(-14). Let s = -88 + y. Let 0 + 2/7*g**s + 4/7*g = 0. What is g?
-2, 0
Let f(a) be the third derivative of 0*a + 1/12*a**3 + 1/160*a**6 - 1/840*a**7 + 0 - 1/240*a**5 + 5*a**2 - 1/32*a**4. Factor f(i).
-(i - 2)*(i - 1)**2*(i + 1)/4
Factor 4/3*k**3 - 96 - 52*k - 8/3*k**2.
4*(k - 8)*(k + 3)**2/3
Let f = -3754/5 + 105347/140. Let w = 38/7 - f. Factor -w*u**2 - 1/4*u**3 - 125/4 - 75/4*u.
-(u + 5)**3/4
Factor 0 - 1/8*k**4 + 1/8*k**2 + 1/8*k - 1/8*k**3.
-k*(k - 1)*(k + 1)**2/8
Let z(l) be the first derivative of -37/10*l**5 - 5 - 12*l - 35*l**2 - 129/8*l**4 - 103/3*l**3 - 1/3*l**6. Find p such that z(p) = 0.
-3, -2, -1/4
Let r(v) be the third derivative of v**5/60 - 3*v**4/8 + 7*v**3/3 + 136*v**2 - 2*v. Solve r(k) = 0.
2, 7
Let c(j) be the second derivative of j**7/168 + j**6/90 - j**5/120 - 43*j**3/6 + 3*j - 2. Let k(r) be the second der