 Factor 14*z**3 - 2*z**4 - 9*z**3 - 2*z**v + 2*z**2 - 3*z**3.
-2*z**2*(z - 1)*(z + 1)**2
Factor 1/3*r**3 + 0*r + 0 + 5*r**2.
r**2*(r + 15)/3
Let f be (-5)/(15*-3) + 7/(-63). Factor -4/21*r**2 + f + 2/21*r**3 + 2/21*r.
2*r*(r - 1)**2/21
Let -2/5*k**2 - 20*k - 250 = 0. What is k?
-25
Suppose -5*c + 3*o = -16, 5*c = -10*o + 8*o + 6. Determine b so that 32/5 + 2/5*b**c - 16/5*b = 0.
4
Let 1/5*k**5 + 0*k**4 + 0*k - 3/5*k**3 + 0 + 2/5*k**2 = 0. Calculate k.
-2, 0, 1
Let n(z) be the first derivative of -4*z**5/5 + 11*z**4 + 52*z**3/3 - 22*z**2 - 48*z - 256. Solve n(o) = 0.
-1, 1, 12
Let h(r) = -2*r**3 + r**2 + 2*r + 1. Let f be h(-1). Solve 14 - 26 - s**2 + 12 + f*s**3 - s**4 = 0 for s.
0, 1
Let n be (-7 + -5)*1/2. Let s = n + 9. Factor 0*i**3 + s*i**3 + 126*i**4 + 3*i**3 - 8*i**2 + 2*i**3.
2*i**2*(7*i + 2)*(9*i - 2)
Let p be (-14)/(-13) - 0 - 0. Let j = 8432 - 8429. Suppose 6/13*b**4 - 16/13*b**j + 0 + p*b**2 - 4/13*b = 0. Calculate b.
0, 2/3, 1
Let n(d) be the third derivative of -2*d**2 - 1/44*d**4 + 0*d**3 - 2/165*d**5 + 0 - 9*d - 1/660*d**6. Factor n(r).
-2*r*(r + 1)*(r + 3)/11
Factor 42 + 21*g**2 + 18*g**2 - 45*g - 72*g**2 + 22*g**2 + 14*g**2.
3*(g - 14)*(g - 1)
Suppose -5*n + 35 = 5*x, 2*n = -2*x + 7*x + 35. Find z such that -z**4 - n*z**3 + 6*z**4 - 5 + 2*z**4 + 10*z - 2*z**4 = 0.
-1, 1
Let x(t) be the second derivative of -t**7/3 + 23*t**6/15 - 2*t**5 + 2*t**4/3 - 9*t + 2. Let x(i) = 0. What is i?
0, 2/7, 1, 2
Let k(c) = 3*c**2 - 18*c + 6. Let h(n) = 3*n**2 - 19*n + 5. Suppose 36 + 18 = -9*f. Let d(q) = f*h(q) + 7*k(q). Factor d(o).
3*(o - 2)**2
Suppose y - 8 = 5*y. Let i be (y + -7 - 0)*-1. Let l(w) = -6*w + 6. Let n(u) = -u**2 + 25*u - 24. Let o(c) = i*l(c) + 2*n(c). Factor o(b).
-2*(b - 1)*(b + 3)
Factor 1/2*j**3 - 9/2*j + 0*j**2 + 0.
j*(j - 3)*(j + 3)/2
Suppose n - l = 6, 4*n = 2*l + 46 - 12. Suppose -4*h**4 + 12*h**3 - n*h - 4*h - h = 0. Calculate h.
-1, 0, 2
Let z(f) be the first derivative of f**6/3 + 48*f**5/5 + 32*f**4 + 12*f**3 - 65*f**2 - 84*f + 719. Find k such that z(k) = 0.
-21, -2, -1, 1
Let m(h) be the third derivative of 11*h**5/12 - 65*h**4/24 + 5*h**3/3 - 60*h**2. Solve m(b) = 0.
2/11, 1
Let i = 259 + -254. Suppose -3*q = 2*h + 8, 3*h - i + 17 = q. Factor -b**4 + 0*b**2 + q - 7/3*b**3 + 4/3*b.
-b*(b + 1)*(b + 2)*(3*b - 2)/3
Let r(y) be the second derivative of 0 + 1/3*y**4 + 20*y + 0*y**2 - 1/30*y**6 + 0*y**5 + 0*y**3. Find k, given that r(k) = 0.
-2, 0, 2
Let a = 48659/7 - 6951. Solve 4/7*r**2 - 4/7 + a*r - 2/7*r**3 = 0.
-1, 1, 2
Let w = -469 - -469. Let q(h) be the first derivative of 0*h**2 - 2 + w*h - 3/2*h**4 + 1/3*h**3 + 9/5*h**5. Solve q(d) = 0.
0, 1/3
Let w be 7/(14/(-8)) - -9. Suppose w*i - 3*d = 167, -4*d - 109 + 11 = -3*i. Factor 2*y**3 - i - 7*y**2 + y**2 - 2*y + 40.
2*(y - 3)*(y - 1)*(y + 1)
Let g(p) = 222*p - 12652. Let i be g(57). Factor 0*r + i*r**3 + 14/11*r**4 + 0 + 2/11*r**5 + 10/11*r**2.
2*r**2*(r + 1)**2*(r + 5)/11
Let v(s) = 72*s**4 - 148*s**3 + 76*s**2 + 12*s - 4. Let m(i) = 48*i**4 - 99*i**3 + 51*i**2 + 8*i - 3. Let l(o) = -8*m(o) + 5*v(o). What is g in l(g) = 0?
-1/3, 1/2, 1
Let k(j) = j**2. Let n be -2 + 5 - (0 + 1 - 0). Let t(p) = 6*p**2 - 4*p. Let c(a) = n*k(a) - t(a). Factor c(g).
-4*g*(g - 1)
Let d be 2 + 7131/(-3255) - (-2)/10. Let k = d - -428/651. Factor 3*g**2 + 1/3*g**4 + 5/3*g**3 + 7/3*g + k.
(g + 1)**3*(g + 2)/3
Let y(k) be the third derivative of -k**6/40 - 59*k**5/60 + 83*k**4/24 - 7*k**3/2 - 9*k**2 - 6*k. Factor y(j).
-(j - 1)*(j + 21)*(3*j - 1)
Let a = -4/137 - -2063/274. Factor a*i - 9/2*i**2 + 3.
-3*(i - 2)*(3*i + 1)/2
Let w be 8/(-6) - 1712/(-6). Factor -284 + w - 4*m**3.
-4*m**3
Let r(a) be the second derivative of a**10/10080 + 3*a**4/4 + 12*a. Let i(t) be the third derivative of r(t). Let i(l) = 0. Calculate l.
0
Find o such that 50*o + 824*o**3 + 87*o**2 - 5*o - 3*o**4 - 1648*o**3 + 863*o**3 = 0.
-1, 0, 15
Factor -3*v**2 - 134*v + 276*v + 12 - 158*v.
-(v + 6)*(3*v - 2)
Factor -16*h + 0*h - 31871*h**2 + 31869*h**2 - 24.
-2*(h + 2)*(h + 6)
Factor -8659*q**2 + 8658*q**2 + q - 4*q + 10.
-(q - 2)*(q + 5)
Let i(k) be the third derivative of -k**10/10080 + 3*k**8/2240 - k**7/420 + 2*k**4/3 + 22*k**2. Let l(o) be the second derivative of i(o). Factor l(h).
-3*h**2*(h - 1)**2*(h + 2)
Let h(w) = w**3 - 34*w**2 - 172*w - 208. Let a(j) = -12*j**2 - 57*j - 69. Let b(x) = -8*a(x) + 3*h(x). Find f such that b(f) = 0.
-2, 6
Let w = 277 + -275. Factor 4*c + 4/5*c**w + 16/5.
4*(c + 1)*(c + 4)/5
Factor 3*h**2 + 19355 + 10296 - h**2 + 568*h + 10677.
2*(h + 142)**2
Let f be (0/216)/((-2)/((-2)/(-3))). Factor 7/2*m**3 + 5/2*m**2 + f - m.
m*(m + 1)*(7*m - 2)/2
Let o = 5/13 + -2/39. Let a(r) be the third derivative of 4*r**2 + 3/224*r**8 + 0*r + 0 - 1/28*r**7 - o*r**3 + 1/8*r**5 + 0*r**4 - 1/48*r**6. Factor a(c).
(c - 1)**3*(3*c + 2)**2/2
Solve -9*b**2 - b**4 + 13*b**4 - 4*b**4 + 0*b**4 + 9*b**3 + 3*b - 11*b**4 = 0.
0, 1
Suppose -45 = -5*m - 3*i, 5*m + i = 3*m + 17. Let r(y) = -y**3 + 4*y**2 - 2*y. Let a be r(3). What is g in 2*g**3 - m*g**2 - 3*g**3 - 2*g**a = 0?
-2, 0
Let v(z) = 4*z - 24. Let q be v(7). Let x(j) = -7*j**2 + 5*j + 2. Let i(c) = -6*c**2 + 4*c + 2. Let n(y) = q*x(y) - 5*i(y). Determine k so that n(k) = 0.
-1, 1
Let x(s) be the first derivative of s**4/28 - 9*s**2/14 + 161. Factor x(i).
i*(i - 3)*(i + 3)/7
Suppose -400*x**2 + 240*x + 3*x**4 - 36*x**4 + 240*x**3 - 27*x**4 + 5*x**5 = 0. What is x?
0, 2, 6
Factor -4/5*y**2 + 0*y + 1/5*y**4 + 0*y**3 + 0.
y**2*(y - 2)*(y + 2)/5
Let p(j) = -2*j**3 + j**2 - j - 2. Let i(q) = 14*q**2 - 38*q + 16. Let m(t) = -i(t) + 2*p(t). Factor m(n).
-4*(n - 1)**2*(n + 5)
Let q(c) = c**2 - 127*c + 4032. Let o be q(65). Factor 64/3 + 1/3*s**o - 16/3*s.
(s - 8)**2/3
Let s(b) = b**2 + 3*b - 4. Let z be s(4). Suppose z = 2*c - 0. Suppose -6*q**2 + 3*q**3 + c*q**2 + 0*q**3 = 0. Calculate q.
-2, 0
Let d = 37 - 34. Factor t**2 - t**3 - d*t + 4*t - 5 + 4.
-(t - 1)**2*(t + 1)
Let y = 2299/3462 + 3/1154. Suppose 0 = -2*u - 3*u + 10. Factor -y - 4/3*q**u - 5/3*q - 1/3*q**3.
-(q + 1)**2*(q + 2)/3
Suppose -5/2*z**3 + 0 - 1/2*z**4 - 3/2*z**2 + 0*z + 1/2*z**5 = 0. Calculate z.
-1, 0, 3
Let -2*d**2 - 2/3*d**3 + 2 + 2/3*d = 0. Calculate d.
-3, -1, 1
Let r(c) = c**3 - c - 1. Let u(b) = 3*b**3 - b**2 + 4*b + 8. Let y(j) = -4*r(j) + u(j). Factor y(f).
-(f - 3)*(f + 2)**2
Let x(w) be the first derivative of -w**6/36 + 7*w**5/30 - 3*w**4/4 + 11*w**3/9 - 13*w**2/12 + w/2 + 7. Factor x(t).
-(t - 3)*(t - 1)**4/6
Let p = -29105102 - -95959522222/3297. Let m = 2/471 + p. Let -32/7*u**4 + 64/7*u**3 - 48/7*u**2 - m + 16/7*u = 0. Calculate u.
1/2
Let v = 11 + -9. Factor -15 - p**3 + 20 + 7*p**v + 4*p - 15*p.
-(p - 5)*(p - 1)**2
Let b(a) be the second derivative of -1/16*a**4 - 1/8*a**2 + 1/6*a**3 + 0 - 11*a. Suppose b(k) = 0. Calculate k.
1/3, 1
Let x(v) be the first derivative of -7*v**5/180 + 11*v**4/18 - 2*v**3/3 - 8*v**2 - 8. Let r(j) be the second derivative of x(j). Factor r(c).
-(c - 6)*(7*c - 2)/3
Let c be 6/(-6) - (-1)/(18/286). Let j = -661/45 + c. Factor 0 + 2/5*w**3 + 0*w**2 - j*w + 0*w**4 - 1/5*w**5.
-w*(w - 1)**2*(w + 1)**2/5
Let g(c) be the second derivative of -c**4/6 + 44*c**3/3 - 484*c**2 - 494*c. Suppose g(u) = 0. Calculate u.
22
Let l(m) be the third derivative of 0*m**3 + 0 + 13*m**2 + 0*m - 2/27*m**4 - 1/135*m**5. Suppose l(h) = 0. What is h?
-4, 0
Let y(b) be the first derivative of b**8/420 - b**6/45 + b**4/6 + 11*b**3/3 - 5. Let d(x) be the third derivative of y(x). Factor d(l).
4*(l - 1)**2*(l + 1)**2
Let p(d) be the first derivative of 0*d + 5 + 2/3*d**2 + 15/4*d**4 - 28/15*d**5 - 49/18*d**6 + 28/9*d**3. Let p(c) = 0. Calculate c.
-1, -2/7, 0, 1
Let c(h) be the second derivative of -12*h + 0*h**2 + 0 + 1/8*h**5 - 1/6*h**3 + 1/8*h**4. Suppose c(t) = 0. Calculate t.
-1, 0, 2/5
Suppose 4*y - 14 = -6. Let 10*t**3 - t**3 - 4*t - 6*t**5 + t - 3*t**y + 3*t**4 = 0. Calculate t.
-1, -1/2, 0, 1
Let r(c) = -c**4 + c**3 - c**2 + 1. Let p(s) = -3*s**4 + 11*s**3 + 21*s**2 - 14*s - 15. Let w(u) = p(u) + 3*r(u). Determine k, given that w(k) = 0.
-1, -2/3, 1, 3
Let l be 4/(-7) - -3*(-64)/(-336). Factor -1/3*d**4 + l*d + 0*d**2 + 0 - 2/3*d**3 + 1/3*d**5.
d**3*(d - 2)*(d + 1)/3
Suppose -6*b = -26*b. Let h(g) be the second derivative of 1/30*g**6 + b*g**3 + 0*g**4 + 0*g**2 +