6896*w**2 + 8532330*w - 4262595. Let r(g) = 3*o(g) - s(g). Solve r(t) = 0 for t.
1, 1192
Let t(i) = 3*i**2 - 24*i + 4. Let v be t(8). Suppose v*h - 32 = -4*f, 4*h - 2*f - 23 - 15 = 0. Factor -28*a + 196 - 37*a + h*a + 4*a**2.
4*(a - 7)**2
Let u be (-1 - 4)*5/(-25)*-2345. Let w = 18763/8 + u. Factor 0*r - 9/8*r**4 + w*r**5 + 9/8*r**3 + 0 - 3/8*r**2.
3*r**2*(r - 1)**3/8
Let g(v) be the second derivative of -v**4/78 - 28*v**3 - 22932*v**2 - 2007*v. Factor g(w).
-2*(w + 546)**2/13
Suppose -29*q = -7*q - 66. Solve 10*n**4 + 127*n**3 + 48*n**2 - 192*n**q - 8*n**2 + 15*n**5 = 0 for n.
-8/3, 0, 1
Suppose 2285522/23*o**2 + 2/23 - 4276/23*o = 0. What is o?
1/1069
Let c be -1*(-3 - 2 - 4)/(-3). Let t(y) = 57*y + 173. Let f be t(c). Factor -2*h**3 - 1/2*h**f + 2*h + 1/2.
-(h - 1)*(h + 1)*(4*h + 1)/2
Let q(b) be the third derivative of -2*b**2 + 1/60*b**6 + 75 + 0*b**4 + 0*b + 0*b**3 + 0*b**5 - 19/105*b**7. Factor q(m).
-2*m**3*(19*m - 1)
Let d(j) be the first derivative of 0*j**4 + 2/15*j**3 + 19 - 4*j**2 - 1/300*j**5 + 0*j. Let z(x) be the second derivative of d(x). Suppose z(l) = 0. What is l?
-2, 2
Let v(s) be the second derivative of -s**7/21 + 4*s**6/15 + 4*s**5/5 - 5*s**4/3 - 23*s**3/3 - 10*s**2 - 1353*s. Suppose v(q) = 0. Calculate q.
-1, 2, 5
Determine p so that 1424*p + 546*p**3 - 336*p**2 + 155 - 186*p**3 + 5 - 406*p**2 - 266*p**3 = 0.
-5/47, 4
Let n(r) be the second derivative of r**6/15 - 3*r**5/5 + r**4/2 + 10*r**3/3 + 185*r. Let n(z) = 0. Calculate z.
-1, 0, 2, 5
Solve 22737 - 2*f**4 - 11370 - 94*f**2 + 50*f**3 - 11367 + 46*f = 0 for f.
0, 1, 23
Let b(v) be the third derivative of 3*v**8/448 + 19*v**7/28 + 2523*v**6/160 - 1963*v**5/10 + 2091*v**4/8 + 578*v**3 - 4284*v**2. Let b(m) = 0. What is m?
-34, -1/3, 1, 4
Let v = -454/37 + 3474/259. Let q(s) be the second derivative of -1/70*s**5 + 4/21*s**3 - 15*s - v*s**2 + 1/21*s**4 + 0. Factor q(t).
-2*(t - 2)**2*(t + 2)/7
Let f be (70/(-42))/((-1)/3). Factor -11*c**4 + 2*c**f + c**4 - 6*c**2 - 2*c**2 + 16*c**3.
2*c**2*(c - 2)**2*(c - 1)
Let t(z) = z**3 + 39*z**2 + 199*z + 988. Let v be t(-34). Let u be -2 + 4*6/9. Determine r, given that -v*r - u - 2*r**2 - 2/3*r**3 = 0.
-1
Let i(k) = k**3 + 51*k**2 + 99*k + 53. Let g be i(-49). Let s(o) be the second derivative of 5/2*o**3 - 5/12*o**g + 0 - 6*o + 10*o**2. Factor s(v).
-5*(v - 4)*(v + 1)
Suppose 5*h - 4*t + 7 = 14, 4*t = 4*h - 4. Let p(o) be the first derivative of -h + 7/12*o**2 - 5/18*o**3 - 1/2*o + 1/24*o**4. Factor p(k).
(k - 3)*(k - 1)**2/6
Let w(l) be the second derivative of -l**5/50 - 52*l**4/15 + 428*l**3/15 - 432*l**2/5 + 6*l - 19. Factor w(c).
-2*(c - 2)**2*(c + 108)/5
Let x(w) be the third derivative of -w**5/120 - 13*w**4/12 + 53*w**3/12 - 4683*w**2. Factor x(j).
-(j - 1)*(j + 53)/2
Suppose 830*c - 18 = -3*s + 829*c, -4 = 4*s - 8*c. Factor 0 - 32/9*g**4 + 4*g - 32/3*g**2 + 88/9*g**3 + 4/9*g**s.
4*g*(g - 3)**2*(g - 1)**2/9
Let c be (-27)/(-297)*0/1. Solve 10/13*l - 2/13*l**2 + c = 0 for l.
0, 5
Determine x, given that 0 + 177/8*x + 45/2*x**2 + 3/8*x**3 = 0.
-59, -1, 0
Let v(a) be the first derivative of 1/2*a**3 + 1/60*a**5 + 10 + 3*a**2 - 1/6*a**4 - 2*a. Let q(i) be the second derivative of v(i). Find o such that q(o) = 0.
1, 3
Determine o so that 40*o**3 + 5*o**4 + 85*o**2 + 48*o - 61*o + 63*o = 0.
-5, -2, -1, 0
Let y be 24*(1 + 1 + (-6)/9). Suppose y = -t + 9*t. Solve 5/3*i**t - 8/3*i + 1/3*i**5 - 4/3 - 1/3*i**2 + 7/3*i**3 = 0 for i.
-2, -1, 1
Factor 0*l**2 - 256/5*l**3 + 0*l - 4/5*l**5 + 0 + 136/5*l**4.
-4*l**3*(l - 32)*(l - 2)/5
Let b = -753 - -713. Let f be 5*(-16)/b*6/4. Suppose 0*d - 1/5*d**f + 0 + 1/5*d**2 = 0. Calculate d.
0, 1
Factor -2*m**3 - 120*m**2 + 124*m**2 + 6814*m - 2*m**4 - 6814*m.
-2*m**2*(m - 1)*(m + 2)
Let r(m) be the second derivative of -m**6/600 + 2*m**5/75 - 2*m**4/15 + 61*m**2 + 127*m. Let c(j) be the first derivative of r(j). Factor c(v).
-v*(v - 4)**2/5
Suppose 230 - 122 = 3*h. Factor -h*d - 49 + 108 + 3*d**3 - 11.
3*(d - 2)**2*(d + 4)
Let c(h) be the second derivative of 1/6*h**4 - 148/3*h**3 - 1 + 5476*h**2 - 44*h. Factor c(k).
2*(k - 74)**2
Solve -17/6*g + 3/2 + 7/6*g**2 + 1/6*g**3 = 0.
-9, 1
Let q = 68108/9 - 68060/9. Factor -2/3*z**3 + 14/3*z**2 - q*z - 32/3.
-2*(z - 4)**2*(z + 1)/3
Let v(q) be the first derivative of -1083/2*q**2 + 11 - 1/4*q**4 - 19*q**3 - 6859*q. Find c such that v(c) = 0.
-19
Let z(q) be the first derivative of -q**6/360 - q**5/15 - 7*q**4/24 - 79*q**3/3 - 13. Let m(u) be the third derivative of z(u). Factor m(y).
-(y + 1)*(y + 7)
Let k(d) be the second derivative of d**6/30 - d**5/10 - 59*d**4/12 + 10*d**3 + 450*d**2 + 22*d + 7. Factor k(x).
(x - 6)**2*(x + 5)**2
Factor 75*f**2 + 54 - 4*f - 152*f**2 + 76*f**2 - 49.
-(f - 1)*(f + 5)
Let i be (-75)/105*-13 - 7. Let r(u) be the first derivative of -i*u**2 + 20/21*u**3 + 12/7*u + 12. Solve r(n) = 0 for n.
3/5, 1
Suppose 6*f - 158 = -79*f + 6*f. Let l(w) be the second derivative of -6/13*w**f + 1/78*w**4 - 5/39*w**3 + 0 - 19*w. Factor l(u).
2*(u - 6)*(u + 1)/13
Find g such that 128/19 + 480/19*g + 450/19*g**2 = 0.
-8/15
Suppose 322/15*t**2 - 506/15*t**3 - 8/15*t**5 + 56/3 + 1234/15*t + 118/15*t**4 = 0. What is t?
-1, -1/4, 4, 5, 7
Let y(n) be the first derivative of -27/2*n + 279 - 57/8*n**2 - 1/4*n**3. Factor y(p).
-3*(p + 1)*(p + 18)/4
Let o(q) be the third derivative of -q**6/960 + q**5/48 - q**4/12 - 12*q**2 - 67*q. Solve o(f) = 0.
0, 2, 8
Let 2*a + 63/4*a**2 - 47/4*a**4 - 1 - 15/4*a**5 - 5/4*a**3 = 0. What is a?
-2, -1/3, 1/5, 1
Let m(r) be the first derivative of -r**5/12 + 55*r**4/12 - 605*r**3/6 + 9*r**2/2 + 78. Let y(n) be the second derivative of m(n). Factor y(o).
-5*(o - 11)**2
Let j be 4 + (-378)/91 - (-34)/221. Let v(k) be the second derivative of j*k**2 - 32*k + 0 - 5/9*k**6 - 13/6*k**4 - k**3 - 11/6*k**5. Factor v(u).
-2*u*(u + 1)*(5*u + 3)**2/3
Factor -3/8*b**3 + 3/8*b + 3/8*b**2 - 3/8.
-3*(b - 1)**2*(b + 1)/8
Let z(u) be the second derivative of -22*u - 1/60*u**5 - 1/18*u**3 + 0*u**2 + 1/18*u**4 + 0. Factor z(d).
-d*(d - 1)**2/3
Let k be (1 - -7) + (-4875)/625. Factor 17/5*s**3 + 0*s - 42/5*s**2 + 0 - k*s**4.
-s**2*(s - 14)*(s - 3)/5
Let w(g) = -g**3 - g - 3. Let j(c) = -17 - 10*c**4 - 126*c - 227*c**2 - 62*c**3 + 0 - 9 + 83*c**2. Let y(i) = -j(i) - 2*w(i). Factor y(q).
2*(q + 2)**3*(5*q + 2)
Let n(f) be the first derivative of -f**6/18 + 7*f**5/15 + 3*f**4/4 - 7*f**3/9 - 4*f**2/3 - 806. Find z, given that n(z) = 0.
-1, 0, 1, 8
Let s(z) be the first derivative of -z**3/9 + 1585*z**2/3 - 2512225*z/3 - 4416. Solve s(u) = 0 for u.
1585
Suppose -2*b = -2*g + 4, 0*g - 2*g - 3*b = -29. Suppose g*j + 3 = 17. Factor 10*w**3 - 5*w**4 + 20*w**j - 2*w - 2*w - 15 - 6*w.
-5*(w - 3)*(w - 1)*(w + 1)**2
Let 5*c**3 - 97*c**2 - 9*c**2 + 43*c**2 - 7*c**2 - 5*c + 70 = 0. Calculate c.
-1, 1, 14
Suppose -384 = 12*l - 16*l. Let d = 128 - l. Suppose -17*b**2 + 57*b**3 + 5*b**4 + 57*b**2 - d*b**3 + 20*b = 0. What is b?
-2, -1, 0
Find v such that 15*v + 0 - 5*v**2 - 15/4*v**3 + 5/4*v**4 = 0.
-2, 0, 2, 3
Let h = -46078 - -230392/5. Suppose 0 + 2/5*w - h*w**2 = 0. Calculate w.
0, 1
Factor -2/7*a**2 + 494/7 + 492/7*a.
-2*(a - 247)*(a + 1)/7
Let z be (-76)/(-13) - (-9)/(-234)*-4. Factor -4*s**2 - z*s**2 + 6*s**3 - 3*s**2 - 48*s - 11*s**2 - 10*s**3 - 32.
-4*(s + 2)**3
Let o(t) be the second derivative of -t**5/10 - 5*t**4/6 + 4*t**3 + 36*t**2 - 3608*t + 2. Solve o(u) = 0 for u.
-6, -2, 3
Let j(z) = -12*z**3 + 16*z - 2. Let c(a) = -a**4 - 2*a**3 + a**2 + 1. Suppose 22*w + 0*w = 22. Let y(o) = w*j(o) + 2*c(o). Let y(i) = 0. What is i?
-8, -1, 0, 1
Let f be ((-3 - 2)*-1)/(400/320). Suppose -5*n + 291 = 41. Factor -48 + 3 + 240*o**3 - 230*o**2 + 5*o**4 - 240*o - n*o**f.
-5*(o - 3)**2*(3*o + 1)**2
Let b(k) be the second derivative of -33/4*k**3 - 220*k + 13/4*k**4 - 1/252*k**7 + 0 - 43/60*k**5 + 45/4*k**2 + 1/12*k**6. Solve b(j) = 0.
1, 3, 5
Let k = -387488/3 - -129163. Suppose -1/6*u**4 + 0*u + k*u**3 - 1/6*u**2 + 0 = 0. Calculate u.
0, 1
Let o(d) = 5*d**3 - 2*d**2 - 4. Let h(r) = -3*r**2 - 5*r + 9*r**3 - 7 + 5*r. Let q = 49 + -45. Let v(z) = q*h(z) - 7*o(z). Solve v(a) = 0.
-2, 0
Let z(i) be the second derivative of -125*i - 56*i**2 + 20*i**3 - 3*i**4 + 0 + 1/10*i**5. Factor z(a).
2*(a - 14)*(a - 2)**2
Let u(c) be the second derivative of -1/15