*2 + 0 = 0?
-11, 0
Let n(w) be the first derivative of -3/5*w**4 + 0*w - 8/5*w**2 + 11 - 2/25*w**5 - 8/5*w**3. Factor n(t).
-2*t*(t + 2)**3/5
Let t(l) = l**2 - 46*l + 48. Let p be t(45). Factor 14/11*a**2 + 2/11*a - 2/11*a**p - 14/11.
-2*(a - 7)*(a - 1)*(a + 1)/11
Let 30*t - 45/4*t**2 + 5/4*t**3 - 25 = 0. Calculate t.
2, 5
Let u(f) be the first derivative of -5 - 1/12*f**3 - 9/4*f - 3/4*f**2. What is m in u(m) = 0?
-3
Let h be (7/((-105)/10))/(2/(-21)). Factor h*i + 12*i - 2*i**3 - 23*i - 10*i**2 + 4*i**2.
-2*i*(i + 1)*(i + 2)
Let m be ((-3)/(-2))/((-18)/(-8)). Let u be (6/3*-4)/(-6). Suppose u*x + 0 + m*x**2 = 0. What is x?
-2, 0
Let i be (6 - (-564)/(-84)) + 2/2. Factor -2/7*a**3 + 4/7*a**2 + 0 - i*a**4 + 0*a.
-2*a**2*(a - 1)*(a + 2)/7
Let k(h) = h**3 - 74*h**2 - 10*h + 743. Let c be k(74). Find z, given that -3/4 + 1/4*z**c + 3/4*z**2 - 1/4*z = 0.
-3, -1, 1
Let k = -817/9 + 91. Let w be (-1)/(-12)*(-112)/(-21). What is a in -w*a + 0 + 10/9*a**4 - 10/9*a**2 - k*a**3 + 2/3*a**5 = 0?
-1, -2/3, 0, 1
Let m(t) be the second derivative of t**8/26880 - t**7/5040 - t**6/2880 + t**5/240 - 7*t**4/4 + 29*t. Let i(b) be the third derivative of m(b). Factor i(a).
(a - 2)*(a - 1)*(a + 1)/4
Let t(n) be the first derivative of n**3/12 - 3*n**2/8 - 588. Factor t(x).
x*(x - 3)/4
Let 13/4 - 7/2*a**3 + 7/2*a - 1/4*a**4 - 3*a**2 = 0. What is a?
-13, -1, 1
Factor 4*b**2 + 4 - 2/3*b**3 - 22/3*b.
-2*(b - 3)*(b - 2)*(b - 1)/3
Let q(n) = n**2 - 8*n + 4. Let c be q(8). Let p be -1 + (c - 1)/(18/8). Suppose 0 + 1/3*y**2 + p*y = 0. What is y?
-1, 0
Let v be (-1233)/13974*20/(-3). Suppose v*w**3 + 0 - 4/17*w - 2/17*w**4 - 6/17*w**5 + 2/17*w**2 = 0. What is w?
-1, 0, 2/3, 1
Let g(h) = h - 8. Let x be g(15). Let z(w) be the third derivative of -1/20*w**6 + 1/105*w**x + 0*w + w**2 - 1/12*w**4 + 0*w**3 + 0 + 1/10*w**5. Factor z(k).
2*k*(k - 1)**3
Let u = -55 + 82. Let f = u + -25. Determine w, given that -1/4*w**f + 3/4*w - 1/2 = 0.
1, 2
Factor h - 25*h**2 - 35*h - 20 - 26*h.
-5*(h + 2)*(5*h + 2)
Suppose 3*k + 239 = -4*g, -2*g + 0*g = 5*k + 375. Let b = k - -515/7. Factor -6/7*t - b - 2/7*t**2.
-2*(t + 1)*(t + 2)/7
Factor 3/5*w**4 - 201/5*w + 66/5 + 207/5*w**2 - 15*w**3.
3*(w - 22)*(w - 1)**3/5
Let z(y) be the second derivative of -y**4/24 - y**3 - 8*y**2 + 43*y + 7. Factor z(h).
-(h + 4)*(h + 8)/2
Let -33/4*i**2 - 5 - 11*i - 5/2*i**3 - 1/4*i**4 = 0. Calculate i.
-5, -2, -1
Let t(q) be the third derivative of 0*q**4 - 1/560*q**8 + 0*q**3 - 1/1050*q**7 + 0*q + 10*q**2 + 0*q**5 + 0 + 0*q**6. Factor t(u).
-u**4*(3*u + 1)/5
Let v(a) be the third derivative of 0 + 1/15*a**5 + 9*a**2 + 1/60*a**6 + 0*a - 1/12*a**4 - 2/3*a**3. Factor v(b).
2*(b - 1)*(b + 1)*(b + 2)
Let h = 345 + -345. Let n(d) be the second derivative of -2*d + h + 0*d**2 + 1/100*d**5 + 1/60*d**4 + 0*d**3. Find t such that n(t) = 0.
-1, 0
Let j(z) = 3*z**3 + 20*z**2 + 5*z - 28. Let r(t) = 20*t**3 + 140*t**2 + 35*t - 195. Let b(x) = -15*j(x) + 2*r(x). Solve b(v) = 0.
-3, -2, 1
Let v(w) be the first derivative of 4*w**4 + 0*w + 4/3*w**3 - 4*w**2 - 12/5*w**5 + 1. Factor v(u).
-4*u*(u - 1)**2*(3*u + 2)
Let y(n) = 8*n**4 + 2*n**3 + 3*n**2 + 3. Let l(r) = 26*r**4 + 6*r**3 + 10*r**2 + 10. Let w(o) = -3*l(o) + 10*y(o). Suppose w(q) = 0. What is q?
-1, 0
Let k(l) = l**3 - 54*l**2 - 62*l - 7. Let n(r) = r**3 - 36*r**2 - 42*r - 5. Let y(b) = -5*k(b) + 7*n(b). Factor y(f).
2*f*(f + 1)*(f + 8)
Let d(w) be the first derivative of -5*w**9/3024 + w**7/56 - w**6/36 - w**3/3 - 13. Let l(t) be the third derivative of d(t). What is j in l(j) = 0?
-2, 0, 1
Let u = -1755 + 1757. Find o, given that -2*o**4 + 0*o**u + 0*o - 4/7*o**3 + 0 = 0.
-2/7, 0
Let o be (723/9)/((-44)/12 - -4). Factor -72 + 49 + 343 - 5*f**4 - o*f**2 - 80*f - 55*f**3 + 61*f**2.
-5*(f - 1)*(f + 4)**3
Let z be (-236)/(-44) + -3*(7 + -6). Factor -26/11*u**2 + 6/11*u**3 - 6/11 + z*u.
2*(u - 3)*(u - 1)*(3*u - 1)/11
Let i(z) = 20*z**3 + 10*z**2 - 15. Let l(p) = p**3 - 2*p**2 - 1. Let h(f) = -i(f) + 15*l(f). Let h(a) = 0. Calculate a.
-8, 0
Let d(x) be the first derivative of 2*x**7/105 - 4*x**6/75 - 4*x**5/75 + 3*x**2/2 + 3. Let j(z) be the second derivative of d(z). Let j(s) = 0. Calculate s.
-2/5, 0, 2
Let m = 332/85 - 63/17. Solve -3*h**2 + m*h**3 + 15*h - 25 = 0.
5
Let q = 3 + -1. Factor 4*w - w**4 + w**q - 3*w - 2*w**3 + w.
-w*(w - 1)*(w + 1)*(w + 2)
Let s(l) = -9 + 30 + 3*l + 7*l**2 + 652*l**3 - 651*l**3. Let k be s(-7). Factor k - 1/3*q - 1/3*q**2.
-q*(q + 1)/3
Let i(b) = b**2 - 54*b + 53. Let w(x) = -x**2 + 36*x - 35. Let q(y) = -5*i(y) - 8*w(y). Factor q(d).
3*(d - 5)*(d - 1)
Let v(d) = 78*d**2 + 398*d + 2107. Let l(y) = -23*y**2 - 133*y - 702. Let f(j) = -7*l(j) - 2*v(j). Find s such that f(s) = 0.
-20, -7
Let n(o) be the first derivative of -o**4/4 - 23*o**3/6 - 11*o**2/4 - 145. Factor n(j).
-j*(j + 11)*(2*j + 1)/2
Let j(d) be the first derivative of 27/14*d**2 + 6/7*d + d**3 - 9. Find x, given that j(x) = 0.
-1, -2/7
Let c(j) be the third derivative of 0*j - 1/6*j**3 - 4*j**2 - 1/16*j**4 - 1/120*j**5 + 0. Let c(n) = 0. What is n?
-2, -1
Let g(t) = -t**3 + 4*t**2 - 2*t - 2. Let w be g(2). Find d such that -35 + 5*d**3 - 23*d**2 - 2*d**w + 2*d - 45*d - 22*d = 0.
-1, 7
Let k = 7484 - 7481. Factor -k + 1/2*s + 1/2*s**2.
(s - 2)*(s + 3)/2
Let y(o) be the second derivative of 38*o + 1/8*o**4 + 0 + 1/10*o**5 + 1/60*o**6 + 0*o**2 + 0*o**3. Factor y(d).
d**2*(d + 1)*(d + 3)/2
Let p = 36 + -31. Let n(z) = 3*z - 10. Let d be n(p). Factor -3 + 4*v**2 + d*v**2 - 6*v**3 + 3*v**5 - 3*v**4 - 3*v**2 + 3*v.
3*(v - 1)**3*(v + 1)**2
Determine b so that 0 + 0*b + 0*b**3 + 1/7*b**2 - 1/7*b**4 = 0.
-1, 0, 1
Let c(j) = -374*j + 2624. Let o be c(7). Factor o*i + 1/4*i**3 - 9/4*i**2 - 4.
(i - 4)**2*(i - 1)/4
Suppose 0 = -7*g + 8*g + 4*g. Let t(m) be the third derivative of -4*m**2 - 1/84*m**4 + g + 0*m + 0*m**5 + 0*m**3 + 1/420*m**6. Factor t(n).
2*n*(n - 1)*(n + 1)/7
Suppose -1/3*v**2 + 1/6*v**3 + 1/6*v + 0 = 0. Calculate v.
0, 1
Suppose -26/3*h - 2/3*h**2 - 24 = 0. What is h?
-9, -4
Let s(n) = 5*n - n + 1 + 0*n - 3*n. Let d(w) = 47 - w**2 + 5*w - 4*w - 51. Let f(i) = -3*d(i) - 6*s(i). Factor f(c).
3*(c - 2)*(c - 1)
Let x(b) be the first derivative of -2*b**3/15 + 38*b**2/5 - 722*b/5 + 37. Suppose x(v) = 0. Calculate v.
19
Suppose 143*u - 120*u - 46 = 0. Let q(g) be the third derivative of -1/24*g**3 + 1/480*g**6 - 1/96*g**4 + 0 + 0*g + 1/240*g**5 + g**u. Factor q(k).
(k - 1)*(k + 1)**2/4
Let v(n) = -11*n**2 - 20*n - 1 + 13*n**3 + 6 + n**3. Let j(b) = -5*b**3 + 4*b**2 + 7*b - 2. Let t(y) = 11*j(y) + 4*v(y). Factor t(s).
(s - 2)*(s + 1)**2
Let m = 4837 - 4837. Factor 2/5*h**4 + 0 + 0*h - 2/5*h**3 + m*h**2.
2*h**3*(h - 1)/5
Let y(i) be the second derivative of 2/17*i**2 + 0 - 1/34*i**5 + 2/17*i**4 - 3/17*i**3 - 43*i. Suppose y(n) = 0. What is n?
2/5, 1
Let h be (1/(-1))/(-1) - (-80)/(-120). Let j(x) be the first derivative of 2*x**2 - 7 - h*x**3 - 4*x. Factor j(p).
-(p - 2)**2
Let j = -81 + 79. Let m be j/(-10) + 80/(-25) + 3. Let m*t + 2/7*t**3 + 0 - 2/7*t**2 = 0. What is t?
0, 1
Let z(t) be the third derivative of -t**6/360 - 11*t**5/180 - 5*t**4/36 + 55*t**2. Factor z(d).
-d*(d + 1)*(d + 10)/3
Let r(k) be the second derivative of k**7/20160 + k**6/5760 - 23*k**4/12 - 27*k. Let i(c) be the third derivative of r(c). Determine p, given that i(p) = 0.
-1, 0
Let w(u) be the second derivative of 0*u**2 + 0 - 8*u + 1/10*u**3 - 1/20*u**4. Factor w(c).
-3*c*(c - 1)/5
Factor 9274*c**4 - 9394*c**4 - 2765*c**2 + 5*c**5 + 960*c**3 + 205*c**2.
5*c**2*(c - 8)**3
Let s(o) be the second derivative of 0 + 45*o + 0*o**2 + 1/12*o**4 + 2/3*o**3. Solve s(i) = 0 for i.
-4, 0
Let a = 17/22 - 3/11. Let t be (-17)/(-51) + 1/(-3). Factor 0 + a*s**3 + 0*s + t*s**2 + 1/2*s**5 + s**4.
s**3*(s + 1)**2/2
Suppose -15*h - 6 = -18*h. Suppose -2*g + 6 = h*t, -t = 3*g + t - 8. Factor -1/4*f**g - 1/4*f + 1/2.
-(f - 1)*(f + 2)/4
Suppose 0 = -0*w + 2*w - 32. Let x = w - 15. Factor l**3 + x + 2*l**2 + 2 - 2 + 5*l - 9*l**3.
-(l - 1)*(2*l + 1)*(4*l + 1)
Let t = 14 - 8. Let h = t - 1. Determine s so that -3*s + 0*s**3 + s**3 - 2*s**3 - h - 3*s**2 + 4 = 0.
-1
Let w = 7817/4647 + -24/1549. Let -1/3*i**2 - 4/3*i + w = 0. Calculate i.
-5, 1
Suppose -3*a + 169 - 169 = 0. Let f(s) be the second derivative of -2/63*s**7 + 3*s - 2/