x).
3*x*(x - 1)
Let h(q) = q**3 - 43*q**2 + 42*q + 2. Let b be h(42). Solve 0 - 2/5*i + 7/5*i**b = 0 for i.
0, 2/7
Determine h, given that -66*h**2 + 27*h**3 - 185*h + 45 - 164*h**2 + 20*h**4 + 15 + 8*h**3 = 0.
-4, -1, 1/4, 3
Let f(q) = -2*q + 4. Let b be f(0). Let c be ((-119)/(-14))/17*b/3. Factor -4/3*r + 2/3*r**4 + 0*r**2 + 4/3*r**3 - c.
2*(r - 1)*(r + 1)**3/3
Let r(u) be the third derivative of 0*u**4 + 0*u**3 - 1/5*u**5 + 1/112*u**8 - 8*u**2 + 0 + 3/70*u**7 + 0*u + 0*u**6. Solve r(v) = 0.
-2, 0, 1
Let b(p) be the first derivative of -4*p**5 + 15*p**4 + 5*p**3 - 20*p**2 - 15*p + 49. Suppose b(k) = 0. What is k?
-1/2, 1, 3
Let v(m) be the third derivative of 0*m**3 + 0*m - 56*m**2 + 0 + 1/120*m**5 + 1/48*m**4. What is d in v(d) = 0?
-1, 0
Let s(g) be the third derivative of g**6/960 + g**5/60 - 3*g**4/64 - 169*g**2. Factor s(p).
p*(p - 1)*(p + 9)/8
Suppose m - 10 = -8. Determine u, given that 5*u**3 + 5*u**m - 4*u**2 + u**4 - 3*u**3 = 0.
-1, 0
Suppose 96 = 100*c - 204. Let f(w) be the first derivative of 0*w - 14 + 7/5*w**c - 9/20*w**2 - 49/40*w**4. Determine y, given that f(y) = 0.
0, 3/7
Factor 0 + 14/19*w - 8/19*w**2.
-2*w*(4*w - 7)/19
Suppose 0 = -0*f + 4*f - 16. Let h be (-4 - -8 - f) + 4/2. Factor -16/7 - 2/7*j**3 + 4/7*j**h + 8/7*j.
-2*(j - 2)**2*(j + 2)/7
Suppose -40 = -3*h + 4*j, 59*h - 8 = 64*h + 4*j. Determine y, given that 16/3*y + h + 1/3*y**3 + 7/3*y**2 = 0.
-3, -2
Let o(h) be the first derivative of h**3/21 - 5*h**2/2 + 66*h/7 + 114. Factor o(f).
(f - 33)*(f - 2)/7
Let o = 432 - 425. Let c(a) be the third derivative of 0*a + 0*a**3 + 0 + 0*a**6 - 1/15*a**5 + 1/168*a**8 + 2/105*a**o + a**2 - 1/12*a**4. Factor c(t).
2*t*(t - 1)*(t + 1)**3
Let k be (-783)/(-140) + 17/(-85). Let g = k - 21/4. Factor 1/7 - g*u**2 + 0*u.
-(u - 1)*(u + 1)/7
Let k(c) be the third derivative of c**6/1140 - 39*c**5/190 - 59*c**4/114 - c**2 + 161*c. Factor k(g).
2*g*(g - 118)*(g + 1)/19
Factor -128/9 - 242/9*q**2 - 352/9*q.
-2*(11*q + 8)**2/9
Let w(g) = -7*g**3 + 3*g**2 - 5*g + 9. Let q(t) = -3*t**3 + 2*t**2 - 3*t + 4. Let u be 51/34*(-8)/(-6). Let r(a) = u*w(a) - 5*q(a). Solve r(k) = 0.
1, 2
Suppose o - 3*c - 5 = -3, 3*o - 30 = -3*c. Suppose -o*u - 7*u = -75. Determine s so that 0 + 0*s**3 + 1/2*s + s**4 - s**2 - 1/2*s**u = 0.
-1, 0, 1
Let z = 3/10060 - -301397/2012. Let y = -149 + z. Determine u, given that y*u**3 + 0 + 2/5*u**2 + 2/5*u**4 + 0*u = 0.
-1, 0
Let j = 19 + -13. Let b(r) = 37*r + 4. Let l be b(1). Factor 7*c**3 - c**3 + l + 3*c**4 - 44 - j*c.
3*(c - 1)*(c + 1)**3
Determine p so that -156*p**3 + 12*p - 16*p**2 + 72 + 311*p**3 - 159*p**3 = 0.
-3, 2
Suppose 12 = -4*i - 5*g, -2*i - 7*g + 9*g = -12. Let p be 0/(i/(-2 + 4)) + 2. Suppose 0*j + 0 - 1/2*j**4 + 0*j**3 + 1/2*j**p = 0. Calculate j.
-1, 0, 1
Let m be -5 + -58*(-6)/(-1404)*-21. Let j(c) be the first derivative of -2/13*c**4 + 0*c + 2/65*c**5 + 1 + 0*c**2 + m*c**3. Factor j(i).
2*i**2*(i - 2)**2/13
Let b(g) be the first derivative of g**3/3 + 5*g**2/2 - 5*g - 3. Let q(x) = -50*x + 51*x - 5 + 6 - x**2. Let i(r) = -b(r) + q(r). Factor i(w).
-2*(w - 1)*(w + 3)
Let h be (-3)/(-8)*(18 - 10). Let n(r) be the first derivative of 0*r**4 + 0*r + r**2 + 4/5*r**5 + 7 - 1/3*r**6 - 4/3*r**h. Solve n(c) = 0.
-1, 0, 1
Let p(y) be the first derivative of 8/39*y**3 + 0*y**2 + 0*y + 2/65*y**5 + 6 + 2/13*y**4. Let p(g) = 0. What is g?
-2, 0
Let o(h) be the second derivative of -4*h**5/45 - 7*h**4/27 + 28*h**3/27 - 2*h**2/3 - 64*h. Factor o(y).
-4*(y - 1)*(y + 3)*(4*y - 1)/9
Let h be 10 + (-16)/1 + (-32)/(-4). Let 0 - 22/5*d**h - 12/5*d - 8/5*d**3 = 0. What is d?
-2, -3/4, 0
Suppose -q + 17 = -2*b, 0 = -b - b - q - 11. Let u be b/(35/(-30)) - 3. What is g in 0*g**2 - 5*g**3 + 10*g - 2*g**2 - 6 - u*g**3 + 6*g**3 = 0?
-3, 1
Let y(b) be the first derivative of b**5 - 5/3*b**3 + 5/2*b**2 - 7 + 0*b - 5/4*b**4. Factor y(f).
5*f*(f - 1)**2*(f + 1)
Let f be (8 - -2) + (-34)/(-578)*0. Determine h, given that -25/2 + f*h + 5/2*h**2 = 0.
-5, 1
Suppose -3*p**3 - 36/7 + 3/7*p**4 + 3*p + 33/7*p**2 = 0. Calculate p.
-1, 1, 3, 4
Suppose 7*n + 18 = 12*n - 2*q, 0 = 4*n + 2*q. Let l(c) be the second derivative of 0*c**n - 2/9*c**3 - 1/6*c**5 - 5*c + 7/18*c**4 + 0. Factor l(d).
-2*d*(d - 1)*(5*d - 2)/3
Factor 1/6*o**5 + 1/3*o**4 - 1/6*o**3 - 1/3*o**2 + 0*o + 0.
o**2*(o - 1)*(o + 1)*(o + 2)/6
Let y = -247 + 5929/24. Let c(q) be the third derivative of -y*q**4 - 1/120*q**5 - 1/12*q**3 + 4*q**2 + 0*q + 0. Let c(u) = 0. Calculate u.
-1
Let o be (-112)/(-60) + 12/90. Factor -2*n - 2149*n**o + 2146*n**2 + 2*n.
-3*n**2
Find r such that 2 - 8*r**2 - 8*r**2 - 15*r**2 + 29*r**2 = 0.
-1, 1
Let c be (-2)/9 + 4/(-36)*-38. Let w(v) be the second derivative of 0*v**2 + 6*v + 3/20*v**5 + 0 - 1/2*v**3 + 0*v**c. Factor w(d).
3*d*(d - 1)*(d + 1)
Suppose 4 = -56*h + 54*h, -h = -3*l + 8. Solve 0 + 0*s - 3/7*s**3 + 0*s**l + 24/7*s**4 - 48/7*s**5 = 0.
0, 1/4
Let g(i) be the second derivative of i**4/42 - 65*i**3/21 + 801*i. Determine y so that g(y) = 0.
0, 65
Let a(g) = 11*g**2 + 62*g + 8. Let d(l) = -7*l**2 - 41*l - 5. Let k(n) = -5*a(n) - 8*d(n). Factor k(t).
t*(t + 18)
Factor 1/3*d**2 - 4*d - 13/3.
(d - 13)*(d + 1)/3
Let i = -33 - -53. Solve 8*u**2 + 9*u**2 - i*u**2 + 6*u + 6*u**2 + 3 = 0.
-1
Suppose -71*t - 267 = -345*t + 7. Factor 6/5*v**2 - 1/5*v**4 + 4/5*v - t - 4/5*v**3.
-(v - 1)**2*(v + 1)*(v + 5)/5
Let b = -7109 + 7111. Find g such that -42/5*g**3 + 0 + 26/5*g**b - 6/5*g + 6*g**4 - 8/5*g**5 = 0.
0, 3/4, 1
Let j(w) be the second derivative of -w**7/1050 + w**6/300 + w**5/300 - w**4/60 + w**2/2 - 9*w. Let s(p) be the first derivative of j(p). Factor s(q).
-q*(q - 2)*(q - 1)*(q + 1)/5
Let f(q) be the first derivative of -22 - 1/17*q**2 + 2/51*q**3 - 4/17*q. Factor f(g).
2*(g - 2)*(g + 1)/17
Let y be (-1 + 7 - 3)*1. Solve b**4 + 273 + 177*b**2 - 27*b**y + 7*b**3 + 352 - 500*b - 27*b**2 = 0.
5
Let n(m) = m**2 - 6*m + 2. Let i(b) = -3*b**2 + 13*b - 5. Let s(k) = 2*i(k) + 5*n(k). Factor s(v).
-v*(v + 4)
Let w(c) = -c**3 + 4*c**2 + 6*c - 3. Let l be w(5). Let 2/13*f**l - 6/13 - 4/13*f = 0. What is f?
-1, 3
Factor 7/4*l + 5/4*l**2 + 1/4*l**3 + 3/4.
(l + 1)**2*(l + 3)/4
Determine p so that 46/5*p - 1/10*p**3 + 0 + 22/5*p**2 = 0.
-2, 0, 46
Suppose 0 = 52*i - 5*i - 94. Let c(l) = l**2 + 4*l - 1. Let f be c(-5). Factor 27*g**i + 6*g**3 + 81/2 + 1/2*g**f + 54*g.
(g + 3)**4/2
Suppose 17*q**2 - 38*q - 2*q**3 - 43*q + 7*q**2 + 9*q = 0. What is q?
0, 6
Let -1/2*a**5 + a - 1/2*a**3 + 3/2*a**2 + 0 - 3/2*a**4 = 0. What is a?
-2, -1, 0, 1
Let u(f) be the third derivative of -f**8/1344 + f**6/240 - f**4/96 + 2*f**2 + 27*f. Factor u(d).
-d*(d - 1)**2*(d + 1)**2/4
Let l(v) = v**3 + v**2 + v. Let k(f) = -9*f**3 - 21*f**2 - 18*f. Let z = 15 - 16. Let n(x) = z*k(x) - 6*l(x). Factor n(g).
3*g*(g + 1)*(g + 4)
Suppose -6*y + 5*y + 30 = -j, -5*y = j - 120. Suppose 4*z - 4*i + 8 = 0, 4*z + 2*i = -z + y. Suppose 1/2*p**z + 1/2*p**2 + 0 - p = 0. Calculate p.
-2, 0, 1
Let t(m) = m**3 - 8*m**2 - 14*m - 8. Let f(h) = 3*h**3 - 17*h**2 - 29*h - 16. Let n(k) = 2*f(k) - 5*t(k). Solve n(l) = 0 for l.
-2
Let u = 351/526 + -1/1578. Let s(k) be the second derivative of -7*k + u*k**2 + 0 - 2/9*k**3 - 1/9*k**4 + 1/15*k**5. Solve s(t) = 0.
-1, 1
Let p(i) = 9*i**2 - 110*i - 117. Let f(g) = 110*g**2 - 1320*g - 1405. Let d(m) = 2*f(m) - 25*p(m). Determine v so that d(v) = 0.
-1, 23
Let s(h) be the second derivative of -h**5/90 - 7*h**4/54 - 11*h**3/27 - 5*h**2/9 - h + 32. Let s(j) = 0. What is j?
-5, -1
Let l = -943/903 + 190/129. Factor l*z**3 - 9/7 - 3/7*z**2 - 15/7*z.
3*(z - 3)*(z + 1)**2/7
Suppose -g - 23 = 4*k - 46, -3*k - 4*g = -40. Factor 36/5*x + 0 - 4/5*x**4 - 12/5*x**2 - k*x**3.
-4*x*(x - 1)*(x + 3)**2/5
Solve 3/4*h**3 + 0 + 21/2*h**2 + 147/4*h = 0.
-7, 0
Let p be (5 - (-3)/12)/6. Let r = p - -11/24. Solve 2/3*o - 2/3*o**2 + r = 0 for o.
-1, 2
Let r be -92*20/8 - (-3 - -3). Let a = r + 1154/5. Let 4/5*h + 4*h**4 + 0 + 33/5*h**3 + 4*h**2 + a*h**5 = 0. Calculate h.
-2, -1/2, 0
Let j(w) = -w**2 + 16*w + 47. Let h(n) = -3*n**2 + 63*n + 181. Let r(a) = 6*h(a) - 23*j(a). What is x in r(x) = 0?
-1
Let c(r) be the third derivative of r**5/75 - r**4/2 + 28*r**3/15 + 84*r**2. Let c(u) = 0. What is u?
1, 14
Suppose -2*u + 5*u - 36 = 0. Let s = -3 + 14. Factor -s*x + 7*x + 2*x**3 + u*x*