b + 2129*b**3 - 2 - b**2 - 2124*b**3 - 15*b**2 = 0. What is b?
1/5, 1, 2
Let u be 8/(48/(-9)) + (-35)/70 - -2. Let 0 + 4/9*m**4 + 1/9*m**2 + u*m + 5/9*m**3 = 0. Calculate m.
-1, -1/4, 0
Let u(c) be the second derivative of 0 + 1/9*c**4 + 2/9*c**3 - 179*c - 28*c**2. Factor u(d).
4*(d - 6)*(d + 7)/3
Let z(s) be the second derivative of 9*s**4/4 + 26*s**3 - 18*s**2 - 589*s. Determine k, given that z(k) = 0.
-6, 2/9
Let z(v) be the first derivative of 1/25*v**5 - 1/15*v**3 - 1/5*v**4 + 7 + 0*v + 2/5*v**2. Factor z(m).
m*(m - 4)*(m - 1)*(m + 1)/5
Let j(m) = m**3 - m + 14. Let y be j(0). Let o be ((-35)/y)/(1/(-2)). Factor -3*g**5 - 3*g**4 - 6*g**4 + 5*g**4 - g**o.
-4*g**4*(g + 1)
Let y(b) be the first derivative of 3*b**4/28 - 23*b**3/7 + 237*b**2/14 - 171*b/7 - 3598. Suppose y(l) = 0. Calculate l.
1, 3, 19
Let z(d) be the first derivative of -5/2*d**4 - 83 + 4*d**3 + 0*d**2 + 0*d + 2/5*d**5. Determine r so that z(r) = 0.
0, 2, 3
Let l(x) = 13*x**2 + 175*x + 495. Let q(w) = -60*w**2 - 870*w - 2476. Let i(d) = -14*l(d) - 3*q(d). What is o in i(o) = 0?
-3, 83
Let n(q) be the third derivative of 1/60*q**5 + 1/3*q**3 + 0 - 3*q - 60*q**2 + 1/8*q**4. Suppose n(d) = 0. What is d?
-2, -1
Let p(i) = 8*i**2 - 176*i + 968. Let g = -217 + 220. Let b(m) = -4*m**2 + 88*m - 484. Let y(z) = g*p(z) + 7*b(z). Determine n, given that y(n) = 0.
11
Let b be (-1)/(-7170)*(-27)/18*5963. Let o = 3/1195 - b. Find a such that -o*a**2 + 15*a - 55/4 = 0.
1, 11
Let m = -1281069/5 + 256220. Factor 3/5*w**2 - m*w - 22/5.
(w - 11)*(3*w + 2)/5
Let w(u) be the second derivative of -1/3*u**4 + 4*u**2 - 2*u**3 - 2/15*u**6 + 3/5*u**5 + 86*u + 0. Find x, given that w(x) = 0.
-1, 1, 2
Let j be (-25)/((-1875)/1210) + -14. Let q(w) be the first derivative of 11 - 9/4*w**4 - 2/5*w**2 + 81/25*w**5 - j*w**3 + 0*w. Factor q(k).
k*(k - 1)*(9*k + 2)**2/5
Suppose -11*a + 437 = 8*a. Let r be 40/4 + -3 + a. Factor -99/4*k**2 - 3/4*k**4 - r*k - 12 - 15/2*k**3.
-3*(k + 1)**2*(k + 4)**2/4
What is z in -323 + 52*z**2 - 72*z - 25*z**2 - 25*z**2 + 771 = 0?
8, 28
Let k(m) = m**3 + 12*m**2 - 108*m + 2. Let j be k(-18). Let w(q) be the third derivative of 0*q**4 + 8*q**j + 1/120*q**5 + 0*q + 0 - 1/12*q**3. Factor w(z).
(z - 1)*(z + 1)/2
Let f(z) be the third derivative of z**5/360 - 295*z**4/144 + 49*z**3/6 - z**2 - 1416*z. Determine s so that f(s) = 0.
1, 294
Let u(x) = 2*x**2 + 1076*x - 1076. Let w be u(1). Factor 6/7 - 3/7*t**3 + 0*t**w + 9/7*t.
-3*(t - 2)*(t + 1)**2/7
Let g = 363 - 330. Factor 2*i**2 + 4*i**3 - 102*i**4 + 34*i**4 + 37*i**4 + g*i**4.
2*i**2*(i + 1)**2
Let v(a) = a**2 + 14*a - 79. Let m be v(-19). Let h be (-240)/200*(-30)/m. Solve 27/4*y**2 - h*y**4 - 3/2*y**3 - 3 + 0*y = 0.
-2, -2/3, 1
Let c(k) = k**3 + 9*k**2 + 2*k - 45. Let x = 364 + -372. Let r be c(x). Find h, given that 86/7*h - 8/7 + 8*h**r - 38*h**2 + 544/7*h**4 + 128/7*h**5 = 0.
-4, -1, 1/4
Let c(x) = 14*x - 26. Let p be c(2). Suppose 5 - 8*g**p - 20*g + 20*g**3 - 6 - 9 + 18 = 0. Calculate g.
-1, 2/5, 1
Let q(v) be the third derivative of -v**6/24 + 3*v**5/4 + 25*v**4/4 - 220*v**3/3 + 995*v**2 - 2*v. Factor q(h).
-5*(h - 11)*(h - 2)*(h + 4)
Let m(d) be the second derivative of -d**5/80 - 3*d**4/16 - d**3/4 + 7*d**2 - 3*d + 166. Factor m(j).
-(j - 2)*(j + 4)*(j + 7)/4
Suppose -3*x - 3 = -3*d, 4 - 7 = 5*d + 3*x. Factor 4*h**3 + d*h**3 - 5*h + h**2 + 2*h - 13*h**4 + 12*h**4 - h.
-h*(h - 4)*(h - 1)*(h + 1)
Let i be (-5 + -2)/7 + (-10 - 105/(-9)). Let u(a) be the first derivative of -2/9*a**3 + i*a**2 - 14 + 0*a + 2/5*a**5 - 2/3*a**4. Factor u(o).
2*o*(o - 1)**2*(3*o + 2)/3
Let x = -2820998/7 - -403018. Determine s so that -48/7*s**2 - 144/7*s - x - 4/7*s**3 = 0.
-8, -2
Let r(c) be the second derivative of c**4/12 - 53*c**3/6 - 55*c**2 - 3*c - 140. Factor r(k).
(k - 55)*(k + 2)
Let x = 231 + -226. Let t(y) = -36*y - 44. Let u(r) = r**2 + 36*r + 45. Let c(i) = x*t(i) + 4*u(i). Factor c(m).
4*(m - 10)*(m + 1)
Let t(n) = 3*n**4 + 90*n**3 + 909*n**2 + 3306*n + 2514. Let s(y) = 9*y**4 + 270*y**3 + 2726*y**2 + 9919*y + 7539. Let r(b) = 6*s(b) - 17*t(b). Solve r(q) = 0.
-13, -8, -1
Let i(c) be the third derivative of -59*c**5/330 - 119*c**4/66 - 8*c**3/33 + 1425*c**2. Suppose i(g) = 0. Calculate g.
-4, -2/59
Let z(q) be the third derivative of 7*q**6/40 + 1073*q**5/20 + 153*q**4/4 + q**2 + 270*q + 6. Find o, given that z(o) = 0.
-153, -2/7, 0
Let y(d) = -10*d**2 + 3. Let k(x) = -25*x**2 - 30*x + 77. Let p(f) = k(f) + y(f). Factor p(t).
-5*(t + 2)*(7*t - 8)
Suppose -49*q = -67 - 31. Let x(y) be the second derivative of 28*y - 39/10*y**5 - 2*y**3 - 57/4*y**4 + 3/2*y**6 + 0 + 18*y**q. Suppose x(l) = 0. What is l?
-1, -2/3, 2/5, 3
Let v be 6/8*340/459*9. Let w(q) be the third derivative of 9*q**2 + 0 - 1/120*q**v + 0*q - 1/96*q**4 + 0*q**3 - 1/480*q**6. Factor w(p).
-p*(p + 1)**2/4
Let y(b) be the second derivative of -14/9*b**3 - 1/9*b**4 + 16/3*b**2 - 5 - 9*b. Determine u, given that y(u) = 0.
-8, 1
Find g such that 91*g**2 + 15*g - 25*g - 32*g - 180 - 93*g**2 = 0.
-15, -6
Suppose -4*n - 12 = -4*y, -y = 5*n + 5 - 2. Suppose -3*h - y*d + 3 = -7, 8 = h - 4*d. Factor -58 + 12*s + 40 - h*s**2 + 2*s**2.
-2*(s - 3)**2
Let u(f) be the second derivative of 1376/9*f**3 - 1 - 5*f + 64*f**2 + 4688/27*f**4 + 184/3*f**5 - 20*f**6 + 250/189*f**7. Factor u(a).
4*(a - 6)**2*(5*a + 2)**3/9
Let w(k) = -k**3 - 15*k**2 - 280*k - 3721. Let o be w(-14). Suppose 2/19*t**4 - 32/19 + 30/19*t**2 + 16/19*t - 16/19*t**o = 0. Calculate t.
-1, 1, 4
Let w(u) = -u**2 - 520*u - 6084. Let q be w(-12). Let d(a) be the first derivative of -q - 6/17*a**2 + 14/17*a - 2/51*a**3. Let d(v) = 0. What is v?
-7, 1
Let f(l) = -3*l**2 - 9*l. Let c be f(-3). Let z(u) = -2*u**2 + 74. Let a be z(c). Suppose -a*q**2 + 35*q**2 + 32*q**2 + q**3 + 11*q - 5 = 0. What is q?
1, 5
Let h(c) = c - 13. Let t be h(18). Find b such that 53*b - 12*b**2 - 35*b**3 + 0*b**4 - t*b**4 + 10*b**3 + 2*b**2 - 13*b = 0.
-4, -2, 0, 1
Let g(x) be the first derivative of -18 + 0*x + 112/3*x**3 - 6*x**2 - 279/4*x**4 + 81/5*x**5. What is f in g(f) = 0?
0, 2/9, 3
Let l(u) = -u**3 - 4*u**2 + 12. Let b be l(-3). Solve -3*z**4 + 3*z**4 + 4*z**5 - 4*z**4 - 4*z**3 + 16*z**2 - 12*z**b = 0.
-2, 0, 1, 2
What is j in 2/3*j**3 - 56/3*j + 8*j**2 + 32/3 - 2/3*j**4 = 0?
-4, 1, 2
Let s be 26/(-1053)*-54 - 1/12. Determine l, given that -s*l**5 - 11/2*l**3 + 3/4*l + 1/2 - 9/2*l**4 - 2*l**2 = 0.
-1, 2/5
Let r = 2 - 8. Let x(a) = 523 - 12*a**2 - 263 - 276 - 52*a. Let s(k) = 12*k**2 + 52*k + 16. Let m(q) = r*x(q) - 5*s(q). Factor m(c).
4*(c + 4)*(3*c + 1)
Let v(x) be the third derivative of 190*x**2 + 0*x + 1/20*x**5 - 5*x**3 + 0 + 3/8*x**4. Determine h so that v(h) = 0.
-5, 2
Let a(z) = 210*z**3 - 10585*z**2 + 26450*z + 9805. Let j(t) = -15*t**3 + 756*t**2 - 1889*t - 700. Let b(n) = 4*a(n) + 55*j(n). Factor b(k).
5*(k - 48)*(k - 3)*(3*k + 1)
Let p(v) be the third derivative of -13/36*v**4 + 0*v + 1/9*v**5 - 20 - 1/180*v**6 - 2*v**2 - 8/3*v**3. Factor p(z).
-2*(z - 8)*(z - 3)*(z + 1)/3
Let f(z) be the third derivative of -7*z**6/1200 - 127*z**5/600 + 17*z**4/10 - 21*z**3/5 - 497*z**2. Suppose f(r) = 0. Calculate r.
-21, 6/7, 2
Let l = 2/4395 + 3906/1465. Let h(n) be the first derivative of 5*n**2 + 1/2*n**4 - l*n**3 - 4*n - 16. Factor h(g).
2*(g - 2)*(g - 1)**2
Let l(h) = -20*h**2 + 128*h - 8. Let j(t) be the first derivative of -2*t**3/3 + t**2/2 - t - 89. Let q(f) = 8*j(f) - l(f). Factor q(p).
4*p*(p - 30)
Let m(i) = 535*i**2 + 1370*i - 19590. Let c(p) = -74*p**2 - 189*p + 2702. Let j(w) = -65*c(w) - 9*m(w). Find h such that j(h) = 0.
-17, 8
Let k = -3889/451446 - 3/2246. Let p = 205/402 + k. Factor -1/4*r - p + 1/4*r**2.
(r - 2)*(r + 1)/4
Determine z, given that -236*z**2 - 111/4*z**4 - 108*z + 44 - 137*z**3 - z**5 = 0.
-22, -2, 1/4
Let q be (8 - 12) + 2/(-20) - (-261 + 256). Factor 8/5*s + q*s**2 - 2/5.
(s + 2)*(9*s - 2)/10
Let o(i) = i**3 + 6*i**2 - 10*i - 9. Let b be o(-6). Let y = 66 - b. Factor -3*u**2 - y*u - 16*u**3 + 11*u**3 - 60 + 55*u + 8*u**2.
-5*(u - 2)**2*(u + 3)
Let 114*r - 192/5*r**3 - 2/5*r**5 + 441/5 - 122/5*r**2 + 57/5*r**4 = 0. What is r?
-1, 3, 49/2
Let o(g) be the second derivative of -g**7/483 - 34*g**6/345 + 7*g**5/46 - 2529*g + 1. What is t in o(t) = 0?
-35, 0, 1
Solve -2450*h**4 + 1238*h**4 + 47*h**3 + 38