 = 0.
0, 5
Let b = -2525164/3 + 841724. Determine s so that -20/3*s**2 + b*s + 16/3*s**3 + 0 - 4/3*s**4 = 0.
0, 1, 2
Let m(w) be the third derivative of w**6/300 - 11*w**5/30 + 9*w**4/10 - 3*w**2 + 398*w. Let m(s) = 0. Calculate s.
0, 1, 54
Let q(p) be the third derivative of -2/15*p**7 - 2/15*p**5 + 78*p**2 + 5/336*p**8 + 0*p**3 - 1/2*p**4 + 0*p + 43/120*p**6 + 0. Suppose q(y) = 0. Calculate y.
-2/5, 0, 1, 2, 3
Let v = 6 + -1. Let x(y) = y**3 + 15*y**2 + 58*y + 19. Let r be x(-8). What is z in 4 - 5*z + 12*z**2 + 16*z**v - 16*z**4 - 10*z**5 + 8*z**r - 13*z + 4*z = 0?
-1, 2/3, 1
Let t = 60559 - 363353/6. Determine f so that 7/6*f - t*f**2 - 1 = 0.
1, 6
Factor -5*h**2 - 11272 - 325272*h + h**2 + 330916*h.
-4*(h - 1409)*(h - 2)
Let w(r) be the second derivative of 1/18*r**4 + 91*r + r**2 - 4/9*r**3 + 0. Determine z so that w(z) = 0.
1, 3
Factor 14/11*y**2 - 12/11 + 38/11*y.
2*(y + 3)*(7*y - 2)/11
Let i(c) be the third derivative of 1/560*c**7 + 1/896*c**8 - 1/4*c**3 + 10*c**2 - 3*c + 1/8*c**4 + 0 - 1/160*c**5 - 1/64*c**6. Determine j so that i(j) = 0.
-2, 1
Suppose -41*x + 121*x - 21268 + 5824 = -206*x. Find r such that 76/3*r**2 + 2/9*r**4 - x - 24*r - 40/9*r**3 = 0.
-1, 3, 9
Let x be 252/54 + (-16)/6 + 2. Suppose 0 = -x*g + 13*g. Find a such that -6 + 3/2*a**2 + g*a = 0.
-2, 2
Suppose -25*v + 18*v + 28 = 0. Factor -s - 4*s - 5 + 5*s**3 - 5 - s**v + 14 - 3*s**2.
-(s - 4)*(s - 1)**2*(s + 1)
Let d(b) = -b**3 + 18*b**2 - 13*b - 50. Let c be d(17). Let n be ((-4)/c)/((-258)/36 - -7). Let 4/3 + 1/3*o**2 - n*o = 0. What is o?
2
Let k be (3/45 - 0)*(-2 - (-72)/16). Let s = -50 + 301/6. Let 1/3*f - k*f**2 - s = 0. What is f?
1
Let x(p) be the second derivative of 5*p**7/42 + 11*p**6 + 344*p**5 + 17825*p**4/6 - 71415*p**3/2 - 121670*p**2 - 3838*p. Let x(k) = 0. What is k?
-23, -1, 4
Let q(h) = -h**3 - 154*h**2 - 4787*h - 1551. Let r be q(-111). Let -6*y**2 + 50/3 + 2/3*y**r + 10*y = 0. Calculate y.
-1, 5
Let x = 26/1083 - -138286/14079. Factor x - 32/13*d + 2/13*d**2.
2*(d - 8)**2/13
Let y(x) be the first derivative of -x**4/72 - 19*x**3/36 + 5*x**2/3 + 39*x - 130. Let c(m) be the first derivative of y(m). Factor c(u).
-(u - 1)*(u + 20)/6
Factor 1/2*o**3 - 55/8*o**2 + 55/8 - 1/2*o.
(o - 1)*(o + 1)*(4*o - 55)/8
Suppose -8*o + 511 = 1631. Let s be (-480)/o*(-7)/(-10). Factor -2/5 - s*x**2 - 2/5*x**4 - 8/5*x - 8/5*x**3.
-2*(x + 1)**4/5
Let r(c) = 1276*c**2 + 34*c + 30. Let q be r(-1). Suppose -1273*u + 3 = -q*u. Let 26/7*b**u + 2/7*b**5 - 12/7*b**4 + 8/7*b - 24/7*b**2 + 0 = 0. Calculate b.
0, 1, 2
Suppose 0 = -2*c - 4*k + 24, -555*k + 6 = 2*c - 554*k. Let i(p) be the second derivative of -16*p + 15/2*p**2 + c - p**4 + 19/2*p**3. Factor i(g).
-3*(g - 5)*(4*g + 1)
Suppose 0 = -4*f - 24, -f = 2*b - 79 + 77. Let u(d) be the first derivative of -9 - b*d + 10/3*d**3 + d**4 + d**2. Suppose u(j) = 0. Calculate j.
-2, -1, 1/2
Let m(h) = -10*h + 8. Let j(z) = z. Let c(i) = -8*j(i) - m(i). Let k be c(6). Find p such that 0*p + k*p - 3*p**2 - 2*p**3 + 8*p**2 + 2 - 5 = 0.
-1, 1/2, 3
Let h be 1095/(-30) - (-27 + -10). Suppose -13/2*c**2 - 3/2*c**3 + h*c**4 + 51/2*c - 18 = 0. What is c?
-4, 1, 3
Let h be ((-2)/(-11) - 0) + 6391/121. Suppose -48*o = -h*o + 10. Factor 10/3*d + 2*d**o - 8/3 + 2/3*d**4 - 10/3*d**3.
2*(d - 4)*(d - 1)**2*(d + 1)/3
Let g be ((-4)/(-10) - -1) + 861/(-615). Let c(w) be the first derivative of 6 - 2/5*w**5 + 0*w**4 + g*w**3 + 0*w**2 + 0*w - 1/3*w**6. What is b in c(b) = 0?
-1, 0
Factor 351 - 57*j - 32*j + 5*j**2 - 2*j**2 - 39*j + 2*j.
3*(j - 39)*(j - 3)
Suppose -62 = -24*k + 58. Suppose k*h = 10*h. Suppose 1/7*q + h + 1/7*q**2 = 0. Calculate q.
-1, 0
What is z in -1/5*z**2 - 431/5 + 432/5*z = 0?
1, 431
Let 38*d + 32*d**2 + 15/2*d**3 + 8 = 0. Calculate d.
-2, -4/15
Let h(r) be the second derivative of 289*r**6/2 - 12903*r**5/10 + 62989*r**4/20 + 1518*r**3/5 + 54*r**2/5 + 1511*r. Suppose h(d) = 0. Calculate d.
-2/85, 3
Suppose 15 = f + 5*a - 3, 0 = -4*f - 3*a + 55. Let d = 15 - f. Factor -18*u**2 + 41*u**d - 18*u**2 - 5*u**4 + 10*u - 15*u**3 + 5*u.
-5*u*(u - 1)*(u + 1)*(u + 3)
Let l = 8287506712/1935 + -4282949. Let c = -2/387 + l. Find v, given that -4/5*v + 1/5*v**3 - 4/5 + c*v**2 = 0.
-2, -1, 2
Let w(y) = 12*y**4 + 100*y**3 + 128*y**2 - 16*y + 8. Let h(j) = 7*j**4 + 67*j**3 + 85*j**2 - 10*j + 5. Let k(d) = 8*h(d) - 5*w(d). Factor k(i).
-4*i**2*(i - 10)*(i + 1)
Let g(n) = -113*n**2 - 204*n - 814. Let f(q) = -207*q**2 - 407*q - 1627. Let k(t) = -6*f(t) + 11*g(t). Find p, given that k(p) = 0.
-4, 202
Determine j, given that -11657/4*j**2 - 1/4*j**4 + 6215*j + 9075 - 109/2*j**3 = 0.
-110, -1, 3
Let m(d) be the third derivative of -d**5/15 - 25*d**4/2 + 308*d**3/3 - 1855*d**2. Factor m(q).
-4*(q - 2)*(q + 77)
Let i(o) = 4*o**3 + 56*o**2 + 34*o - 5184. Let l(x) = -7*x**3 - 111*x**2 - 68*x + 10371. Let w(p) = 11*i(p) + 6*l(p). Factor w(n).
2*(n - 17)**2*(n + 9)
Factor 34*i**4 + 5948*i**2 + 128*i - 3740*i**2 + 364*i**3 + 182*i**3.
2*i*(i + 8)**2*(17*i + 1)
Let c be 5*(-21)/35 - (-660)/(-680)*(-10)/3. Factor -2/17*g - c*g**2 + 2/17.
-2*(g + 1)*(2*g - 1)/17
Let h(l) be the first derivative of 44/3*l**3 - l**4 + 0*l + 52*l**2 + 163. Factor h(r).
-4*r*(r - 13)*(r + 2)
Suppose 53*v + 48*v = 227 - 25. Factor 1/10*u**4 + 3/5 - 3/10*u**3 - 3/10*u**v + 7/10*u.
(u - 3)*(u - 2)*(u + 1)**2/10
Solve -99/5*c - 204/5 - 12/5*c**2 = 0 for c.
-17/4, -4
Find d, given that 4/3*d**2 - 18*d - 1/6*d**4 - 80/3 + 3/2*d**3 = 0.
-2, 5, 8
Suppose -705 + 35 = -134*u. Let p(z) be the third derivative of -1/30*z**u - 1/780*z**6 - 12/13*z**3 + 0 - 42*z**2 - 4/13*z**4 + 0*z. Factor p(h).
-2*(h + 1)*(h + 6)**2/13
Let h(a) be the third derivative of 5*a**6/12 + 299*a**5/6 + 296*a**4/3 + 236*a**3/3 + 3*a**2 - 55*a. Factor h(b).
2*(b + 59)*(5*b + 2)**2
Suppose 35*z - 40*z + 1360 = 0. Let v = z + -272. Factor 0 + v*j + 0*j**3 - 3/5*j**2 + 3/5*j**4.
3*j**2*(j - 1)*(j + 1)/5
Let g(d) be the first derivative of 25*d**6/21 + 542*d**5/7 - 189*d**4 - 13880*d**3/21 + 6472*d**2/7 - 384*d + 2763. Let g(n) = 0. What is n?
-56, -2, 2/5, 3
Let i be -7 - ((-275)/66 + 3 + -9). Factor 7/6 - 1/2*z**3 + 5/2*z - i*z**2.
-(z - 1)*(z + 7)*(3*z + 1)/6
Factor -2/5*i**2 + 652/5*i + 654/5.
-2*(i - 327)*(i + 1)/5
Let w(j) = -2*j - 8 + 4*j + 0. Let n be w(6). Find u, given that 15*u**2 - 2*u**4 + 0*u**4 - 15*u**3 - u**n - 5*u + 8*u**4 = 0.
0, 1
Suppose 4*q = -2*a + 12, 20*a - 8 = 16*a. Factor -3/8*p**q + 12*p - 96.
-3*(p - 16)**2/8
Let b(g) = -113*g**2 + 275*g - 95. Let k be b(2). Factor 4/7*o**2 - 18/7*o + 8/7 + 16/7*o**k - 12/7*o**4 + 2/7*o**5.
2*(o - 4)*(o - 1)**3*(o + 1)/7
Factor -454/11*m**2 + 0*m + 2/11*m**3 + 0.
2*m**2*(m - 227)/11
Factor -1289 - 1660*u + 2*u**2 - 6*u**2 + 0*u**2 + 1289.
-4*u*(u + 415)
Let n(v) be the first derivative of -v**5/210 + 10*v**4/21 + 41*v**3/21 + 146*v**2 - 193. Let f(s) be the second derivative of n(s). Factor f(q).
-2*(q - 41)*(q + 1)/7
Suppose -50 = 5*m - 7*m - 2*f, -f = 2*m - 50. Let q(i) = -i**3 + i. Let v(d) = -20*d**3 - 20*d**2 - 35*d. Let z(k) = m*q(k) - v(k). Suppose z(w) = 0. What is w?
-2, 0, 6
Let v(t) = t**2 + 33*t + 246. Let p be v(-11). Let z(l) be the second derivative of -1/9*l**p + 16*l + 0 + 1/9*l**3 + 0*l**2. Solve z(y) = 0.
0, 1/2
Let n(k) be the third derivative of -5*k**5/12 + 251*k**4/120 - k**3/15 - 15*k**2 + 13*k. Factor n(j).
-(j - 2)*(125*j - 1)/5
Let l(b) be the third derivative of -b**6/1020 + 4*b**5/255 - 11*b**4/204 - 20*b**3/51 + 35*b**2. Let l(q) = 0. Calculate q.
-1, 4, 5
Let x be (1 + 434/(-30) + 14)/((-2)/(-5)). Suppose -4/9*l**4 + 8/3 + x*l**3 - 44/9*l + 4/3*l**2 = 0. What is l?
-2, 1, 3
Let b(r) = 2*r**4 - 2*r**3 - 38*r**2 - 192*r - 180. Let y(w) = -w**3 + 2*w + 6. Let d(q) = -2*b(q) + 20*y(q). Determine c so that d(c) = 0.
-4, -3, -2, 5
Suppose -5*a = -3572*x + 3574*x + 3, -3*a + 45 = -4*x. Suppose -2/3*w**4 + 9/2*w**a + 4/3*w + 0 + 13/2*w**2 = 0. What is w?
-1, -1/4, 0, 8
Let t be (-3 - -430) + (0 - -5). Find h, given that h**3 + 433*h - 5*h**4 - 2*h**3 + 5*h**2 - t*h = 0.
-1, -1/5, 0, 1
Let m(f) = -f**2 - 1. Let n = -553 - -554. Let t(p) = 12*p**2 - 416*p + 10824. Let q(o) = n*t(o) + 8*m(o). Let q(h) = 0. What is h?
52
Let q(c) be the first derivative of c**2 + 0*c + 175 + 1/30*c**5 + 8/9*c**3 + 7/24*c**4. Factor q(h).
h*(h + 2)**2*(h 