126*u - 207. Let w(d) = -d**2 + 32*d + 52. Let x(j) = 4*q(j) + 15*w(j). Find b, given that x(b) = 0.
-4
Let -1/3*f**5 + 0*f**2 - 20/3*f**4 + 0*f**3 + 0 + 0*f = 0. What is f?
-20, 0
Let u(y) be the first derivative of 2/3*y**3 - 10*y - 4*y**2 - 19. Solve u(a) = 0 for a.
-1, 5
Let u(t) = -3*t - 6. Let c be u(-5). Suppose -7 = c*l - 10*l. Suppose -21*q**2 - 11*q + l*q + 51*q**2 + 82*q**4 - 78*q**3 - 30*q**5 = 0. What is q?
0, 1/3, 2/5, 1
Let q = -3540 - -42515/12. Let c(u) be the second derivative of -q*u**4 - 1/2*u**6 + 2*u**5 + 0 + 0*u**2 + 5/3*u**3 + 3*u. Factor c(n).
-5*n*(n - 1)**2*(3*n - 2)
Let l be (-1645)/(-196) + (-13)/91 - (0 + 2). Factor -l + 1/2*w**4 + 19/4*w**3 - 35/4*w + 39/4*w**2.
(w - 1)*(w + 5)**2*(2*w + 1)/4
Let j(a) be the second derivative of 5*a**7/112 - 41*a**6/40 - 759*a**5/160 + 47*a**4/16 + 97*a**3/4 - 57*a**2/2 - 409*a. Find w such that j(w) = 0.
-2, 2/5, 1, 19
Let y(n) be the third derivative of -n**5/300 - n**4/24 + n**3/5 + 5*n**2 + 2*n. Factor y(s).
-(s - 1)*(s + 6)/5
Let r = -2097 + 2097. Factor -2/9*w + r + 2/9*w**2.
2*w*(w - 1)/9
Let s be (-4)/(96/180)*(-2)/80. Let l(c) be the first derivative of 0*c + 1/2*c**2 + 3 + 1/20*c**5 - s*c**4 + 0*c**3. What is z in l(z) = 0?
-1, 0, 2
Suppose 5*i + 51 = 61. Let s be (-12)/(-18) + -2 + i. Find h such that 0 - 1/3*h**3 + s*h**2 - 1/3*h = 0.
0, 1
Let q = 3851 - 3849. Factor -3/5*h**q + 3/5*h + 0.
-3*h*(h - 1)/5
Let n(j) be the first derivative of 243*j**5 + 675*j**4/2 + 5*j**3 - 70*j**2 - 20*j - 94. Solve n(f) = 0 for f.
-1, -2/9, 1/3
Let m(t) be the third derivative of -28*t**2 + 0*t**4 + 0*t**3 - 1/420*t**7 + 1/120*t**5 - 1/672*t**8 + 0 + 0*t + 1/240*t**6. Suppose m(c) = 0. Calculate c.
-1, 0, 1
Let a = 6 - -27. Suppose -39*w + a*w = 0. Let 0*h**2 + 2/5*h**4 + w + 4/5*h**3 + 0*h = 0. Calculate h.
-2, 0
Let i = -2/607 - -1087/145680. Let t(d) be the third derivative of 0 + i*d**5 + 1/24*d**3 - 1/48*d**4 + 0*d + 2*d**2. What is r in t(r) = 0?
1
Let -608/5*s - 114/5*s**3 + 17/5*s**4 - 1/5*s**5 + 376/5*s**2 + 384/5 = 0. Calculate s.
2, 3, 4
Let n(t) be the third derivative of t**5/300 + 271*t**4/60 + 73441*t**3/30 - 5*t**2 + 14*t. Factor n(r).
(r + 271)**2/5
Let t(v) = 3*v + 6. Let s be t(-5). Let r be (-4)/(3/s*3). Factor r*h**2 - 2*h**2 - 5 + 2*h + 1.
2*(h - 1)*(h + 2)
Let g(c) be the second derivative of -c**8/11200 - c**7/4200 + 5*c**4/4 - 19*c. Let d(a) be the third derivative of g(a). Factor d(t).
-3*t**2*(t + 1)/5
Let n be 1*5 - 14/7. Let b(a) be the first derivative of -2/9*a + 1/18*a**4 - 1/9*a**2 + 2/27*a**n + 5. Determine z, given that b(z) = 0.
-1, 1
Let n(q) = 67*q - 11320. Let z be n(169). Factor -z*f**2 + 0 + 6/5*f.
-3*f*(5*f - 2)/5
Let y(s) be the second derivative of -10*s**2 + 10/3*s**3 + 0 + 2*s - 5/12*s**4. Factor y(d).
-5*(d - 2)**2
Factor -11*t**3 + 2*t + 30*t - 13*t**3 - 87*t**4 + 8*t**2 + 2*t**5 + 89*t**4.
2*t*(t - 2)**2*(t + 1)*(t + 4)
Let c(q) = -6*q**4 + 48*q**2 + 63*q + 33. Let s(t) = -t**4 - t**3 + t**2 - 2*t + 1. Let p(h) = -c(h) + 3*s(h). Factor p(a).
3*(a - 5)*(a + 1)**2*(a + 2)
Let a(y) be the first derivative of 1/5*y**5 + 0*y + 7/3*y**3 + 14 + 3/2*y**4 - 1/12*y**6 + 5/4*y**2. Factor a(h).
-h*(h - 5)*(h + 1)**3/2
Let d(c) = -c**3 - 28*c**2 - 28*c - 25. Let j be d(-27). Let p(i) be the first derivative of 1/2*i**2 - j*i + 2/3*i**3 - 1/4*i**4 + 1. Factor p(n).
-(n - 2)*(n - 1)*(n + 1)
Let d be 3 - ((-20)/(-8) + (-39)/18). What is f in -4*f**2 + d*f**5 + 8/3*f + 2 + 2*f**4 - 16/3*f**3 = 0?
-1, -3/4, 1
Let k(l) be the third derivative of l**4/12 - 2*l**3 + 6*l**2. Let t be k(9). Factor 8*w - w**2 - 3*w + 13*w - 16 - w**4 - t*w**3 + 6*w.
-(w - 1)**2*(w + 4)**2
Let c be ((-2108)/23715)/((12/(-50))/3). Find j, given that -2/9*j**4 + 0 - 8/9*j - 16/9*j**2 - c*j**3 = 0.
-2, -1, 0
Let q(f) be the third derivative of 3*f**8/112 - f**7/5 + 11*f**6/20 - 3*f**5/5 - f**4/8 + f**3 + 155*f**2 + 2*f. Factor q(u).
3*(u - 2)*(u - 1)**3*(3*u + 1)
Let a be -5*((-123)/(-30) + -4)*-2. Let v be a*(6 + (1 - 3)). Let 0*q - 3/2*q**v + 4*q**3 - 3*q**2 + 1/2 = 0. What is q?
-1/3, 1
Let j(p) be the first derivative of p**6/30 + p**5/10 + p**4/12 - 28*p - 31. Let w(c) be the first derivative of j(c). Factor w(y).
y**2*(y + 1)**2
Find g, given that 0 + 340/3*g**3 + 0*g + 0*g**2 - 5/6*g**4 = 0.
0, 136
Suppose -3*r = 7 - 4. Let y be r + 2/5 - (-345)/325. Factor -10/13*b**2 - 14/13*b - y - 2/13*b**3.
-2*(b + 1)**2*(b + 3)/13
Let y be -6*(9/12)/((-3)/17). Find h, given that y*h**4 + 0*h + 0 + 9/2*h**3 - 3*h**2 + 18*h**5 = 0.
-1, -2/3, 0, 1/4
Let s(c) = -65*c**3 - 330*c**2 - 375*c - 110. Let a(z) = -3*z**3 - 15*z**2 - 17*z - 5. Let g(m) = 45*a(m) - 2*s(m). Factor g(h).
-5*(h + 1)**3
Let n(s) = 2*s**2 + 10*s + 2. Let o be 1081/(-207) + 2/9. Let l(u) = 3*u**2 + 21*u + 3. Let p(k) = o*n(k) + 2*l(k). Let p(t) = 0. What is t?
-1
Let v be 0 - (-7 + (17 + -10 - 2)). Factor -7/3*l - 1/2*l**3 + 0 - 23/6*l**v.
-l*(l + 7)*(3*l + 2)/6
Let j(p) = -6*p**2 - 22*p + 8. Let y(x) = -x**2 - 3. Let u(w) = -4*j(w) + 20*y(w). What is m in u(m) = 0?
-23, 1
Let c be (-5 - -2)/(8/(-16)). Suppose -c*p + 10*p = -20. Let i(y) = -3*y + 2. Let n(x) = x**2 + 5*x - 4. Let v(m) = p*i(m) - 2*n(m). Factor v(u).
-(u - 2)*(2*u - 1)
Factor 2/3*x + 0 + 8/3*x**2.
2*x*(4*x + 1)/3
Let s = 53421 - 53419. Factor -243/8 - 3/8*x**s - 27/4*x.
-3*(x + 9)**2/8
Let y(s) = -7*s**3 - s**2 + 29*s - 13. Let k(i) = -8*i**3 + i**2 + 31*i - 12. Let n(b) = 2*k(b) - 3*y(b). Factor n(l).
5*(l - 1)**2*(l + 3)
Let w(y) = 4*y - 3. Let v be w(2). Suppose -3*b = 4*z - v, 3*b + z + z = 7. Find o such that 3*o - 36*o**5 + 20*o**2 + 42*o**b - 5*o**2 - o - 8*o - 15*o**4 = 0.
-1, -2/3, 0, 1/4, 1
Factor 17*m - 3*m**3 + 7*m**3 - 107*m - 35*m**2 + m**3.
5*m*(m - 9)*(m + 2)
Let n(r) be the third derivative of -5*r**7/42 + 7*r**6/6 - 13*r**5/12 - 25*r**4/12 - 603*r**2. Factor n(h).
-5*h*(h - 5)*(h - 1)*(5*h + 2)
Let c(p) be the first derivative of p**5/4 + 5*p**4/4 - 5*p**3/12 - 5*p**2/2 - 113. Factor c(s).
5*s*(s - 1)*(s + 1)*(s + 4)/4
Let h(x) be the third derivative of x**8/336 - x**7/15 - 11*x**6/20 - 26*x**5/15 - 71*x**4/24 - 3*x**3 - 240*x**2. Determine r, given that h(r) = 0.
-1, 18
Let h be (1 - (-18)/(-8))*-268 + 1. Let y be (-2)/11 - h/(-396). Factor 0 - 1/3*o**3 - 1/3*o**2 + y*o.
-o*(o - 1)*(o + 2)/3
Let u(x) be the second derivative of 31*x + 1/18*x**4 + 0 + 7/9*x**3 + 2*x**2. Let u(h) = 0. What is h?
-6, -1
Let s = -428 - -5558/13. Let q = -5/39 - s. Determine n so that 9/2*n**2 - 25/6*n**4 - 91/6*n**3 + 14*n**5 + 7/6*n - q = 0.
-1, -2/7, 1/4, 1/3, 1
Let g(y) = -15*y - 2. Let k be g(-7). Factor -6*n**3 - k + 10*n**2 + 5*n + n**3 + 93.
-5*(n - 2)*(n - 1)*(n + 1)
Let w(j) be the first derivative of 0*j + 8 - 40/3*j**3 - 20*j**4 - 5/2*j**2. Factor w(k).
-5*k*(4*k + 1)**2
Factor -3/2 - 3/4*k**2 + 11/4*k - 3/4*k**3 + 1/4*k**4.
(k - 3)*(k - 1)**2*(k + 2)/4
Let r(a) be the second derivative of a**5/80 + a**4/48 - 3*a**3/8 - 9*a**2/8 - 7*a - 4. Suppose r(q) = 0. Calculate q.
-3, -1, 3
Let o(r) be the second derivative of -1/30*r**4 + 5*r - 3/2*r**2 + 0 + 1/75*r**5 + 0*r**3. Let t(l) be the first derivative of o(l). Factor t(k).
4*k*(k - 1)/5
Let s(p) be the second derivative of -p**5/16 + 7*p**4/12 - 13*p**3/24 - 5*p**2/4 - 2*p - 68. Factor s(m).
-(m - 5)*(m - 1)*(5*m + 2)/4
Suppose 6*k - 7*k = -1. Let b(o) = o**2 + 2. Let y(x) = -16*x**2 - 8. Let t(j) = k*y(j) + 12*b(j). Factor t(a).
-4*(a - 2)*(a + 2)
Let x(z) be the first derivative of -9*z**4/2 - 166*z**3/3 - 90*z**2 - 32*z + 374. Determine h, given that x(h) = 0.
-8, -1, -2/9
Let f(q) = 9*q**2 + 71*q + 51. Let l(a) be the third derivative of -a**5/30 - 7*a**4/12 - 5*a**3/3 - 2*a**2. Let u(j) = -2*f(j) - 11*l(j). Factor u(w).
4*(w + 1)*(w + 2)
Let m = 3 - 0. Suppose w - 4*v + 0 = -1, 4*w - 9 = m*v. Factor 6*k - 5*k - 3*k**2 + 5*k**2 - w*k**2.
-k*(k - 1)
Let t be 48/256*-2*-2*1. Factor 3*b - 5/4*b**3 + t*b**2 + 1.
-(b - 2)*(b + 1)*(5*b + 2)/4
Let o(x) be the third derivative of 0*x**4 + 1/180*x**6 + 0*x**3 + 0*x - 1/1260*x**7 + 0*x**5 + 0 + 11*x**2. What is f in o(f) = 0?
0, 4
Suppose 2*t + w - 74 = 0, t = -5*w + 35 + 11. Determine y so that -11*y - t*y**2 + 3*y + 12*y**5 - 33*y**3 + 4*y**4 - 3*y**3 = 0.
-1, -1/3, 0, 2
Let h(a) be the first derivative of 13*a**6/90 - 7*a**5/60 + a**4/36 + 13