pose -f = v, b - 3*f - 36 = 31. What is w in b*w - 15*w**2 - 8 - 40 + 11*w**2 = 0?
1, 12
Let q = 1092550/3 - 364183. Suppose -q*m**3 + 1 - 7/3*m + 5/3*m**2 = 0. Calculate m.
1, 3
Let o(w) be the first derivative of -14*w**5/25 + 481*w**4/10 - 216*w**3/5 - 1084*w**2/5 - 544*w/5 + 421. Find m such that o(m) = 0.
-1, -2/7, 2, 68
Let y(s) be the second derivative of 0*s**3 + 6*s**4 + 0 + 1/30*s**6 + 8*s**2 + 7*s + 4/5*s**5. Let v(a) be the first derivative of y(a). Factor v(b).
4*b*(b + 6)**2
Let l(n) be the first derivative of -27*n**4/28 + 55*n**3/7 + 171*n**2/14 - 3*n - 3309. Factor l(p).
-3*(p - 7)*(p + 1)*(9*p - 1)/7
Let r(j) = -9*j + 19. Let v be r(12). Let i = v - -92. Factor -u**i + 12*u**2 + 12266*u - 12266*u.
-u**2*(u - 12)
Suppose 0*d = 12*d - 288. Let t = 44 + d. Find g, given that -3*g**5 + 600*g - 820 - 612 - t - 33*g**4 + 345*g**2 - 57*g**3 = 0.
-5, 2
Suppose 9115 = 4*g - 5*d, -5*d = -3*d - 10. Solve f**4 + 11*f**3 + 2285 - g + 10*f**3 = 0.
-21, 0
Let g(z) be the first derivative of -z**6/1800 + z**5/600 + 2*z**3/3 - 44*z - 6. Let o(k) be the third derivative of g(k). Factor o(a).
-a*(a - 1)/5
Let b(p) be the third derivative of p**6/240 - p**5/40 - 9*p**4/8 - 1605*p**2. Factor b(q).
q*(q - 9)*(q + 6)/2
Let d(i) be the first derivative of -17/10*i**2 - 9/5*i + 7/25*i**5 + 9/10*i**4 + 57 - 1/30*i**6 + 2/15*i**3. Determine u so that d(u) = 0.
-1, 1, 9
Let y be (-81)/(-2295)*5*-2*1/(-3). Suppose -y*q**5 + 8/17*q**4 + 40/17*q - 28/17*q**2 - 2/17*q**3 - 16/17 = 0. Calculate q.
-2, 1, 2
Let q(r) be the third derivative of 3*r + 0*r**3 + 0 - 10*r**4 - 4*r**2 - 1/12*r**5. Factor q(m).
-5*m*(m + 48)
Let z = -20 - -38. Let c be 6/z - (-52)/6. Find w such that -8*w**3 + 12*w**2 - c*w**2 + 4*w**3 + w**4 = 0.
0, 1, 3
Let s = -171583 - -171585. Let -8/7*l + 18/7*l**s + 0 + 2/7*l**4 - 12/7*l**3 = 0. What is l?
0, 1, 4
Let j = 111569/33459 - 13/11153. Factor 22/3*v - j*v**2 - 2/9*v**3 - 34/9.
-2*(v - 1)**2*(v + 17)/9
Let g(b) = -46*b**3 + 1267*b**2 + 2642*b + 1344. Let h(t) = 12*t**3 - 316*t**2 - 660*t - 336. Let r(l) = 4*g(l) + 15*h(l). Factor r(y).
-4*(y - 84)*(y + 1)**2
Suppose -8*s - 198 = -374. Let m(d) be the first derivative of 2*d**6 - 8*d**4 - s*d**2 + 1 + 24*d**3 - 16/5*d**5 + 8*d. Suppose m(w) = 0. Calculate w.
-2, 1/3, 1
Let k(x) = -2*x**2 - 37*x - 14. Suppose 44 = -3*h + 5*o, 34 = -0*h - 2*h + o. Let p be k(h). Suppose 153*c - 4*c**2 - 153*c + 4*c**p = 0. Calculate c.
-1, 0, 1
Let a be -5 + 51/6*-4 - -2. Let j(o) = -11*o - 402. Let r be j(a). Solve 0 - 3/2*x**3 + 3/4*x**4 + 0*x + 0*x**2 + 3/4*x**r = 0.
-2, 0, 1
Let c be -2 + -5 + 8 + (-33 - -2). Let a be c*(-6)/(-32)*(-1)/3. Factor 9/8 + 3/8*i**3 + 21/8*i + a*i**2.
3*(i + 1)**2*(i + 3)/8
Let s be (-13)/(-4) + (-2)/8. Let r(g) = 1873*g**2 + 52435*g - 247. Let i be r(-28). Factor 0*x**2 - 2*x**4 - s*x**3 + 0 + 0*x - 1/3*x**i.
-x**3*(x + 3)**2/3
Suppose 269 = 10*b + 69. Find q, given that 5*q**2 - 9*q - 5*q + b - 6*q = 0.
2
Suppose 91*a = -42*a + 399. Let r(v) be the second derivative of 0 + 1/21*v**4 + 0*v**a + 0*v**2 + 9*v + 1/70*v**5. What is z in r(z) = 0?
-2, 0
Let k be ((-74)/30 + 40/16)/2. Let x(n) be the third derivative of 12*n**2 + 1/24*n**4 + 0 + 0*n**3 - k*n**5 + 0*n. Determine z so that x(z) = 0.
0, 1
Let h = -1/2755 - -115/13224. Let z(r) be the third derivative of 0 - 6*r**2 + 1/3*r**3 + 5/48*r**4 + h*r**5 + 0*r. Factor z(s).
(s + 1)*(s + 4)/2
Let t be (1*18/30)/(11*48/880)*0. Factor 4/3*i**2 + t + 40*i.
4*i*(i + 30)/3
Let z be 8/(14*7/98) + -6. Suppose 10/3*c - 28/9 - 2/9*c**z = 0. What is c?
1, 14
Let -18425923 + 18425923 - 22*p**3 + 2*p**4 = 0. Calculate p.
0, 11
Suppose 38*h = 22*h + 3488. Let y = h - 649/3. Factor 2/3 + 4/3*j**2 + 1/3*j**3 + y*j.
(j + 1)**2*(j + 2)/3
Let c(r) = 6*r**3 + 67*r**2 + 9*r - 21. Let b be c(-11). Let k(q) be the first derivative of q**2 - 2/3*q**3 + 4*q - b. Determine w so that k(w) = 0.
-1, 2
Let f(m) = 2*m**3 - 47*m**2 + 46*m - 527. Let s be f(23). Factor 0*o + 0*o**s + 0 + 4/9*o**3 - 2/3*o**4 + 2/9*o**5.
2*o**3*(o - 2)*(o - 1)/9
Let f(c) = 5*c + 2. Let q be f(8). Let r = 64 - q. Determine j so that 92*j**2 - r*j - 245*j**2 - 60*j**3 + 75*j**4 - 32*j = 0.
-3/5, 0, 2
Let h(k) be the first derivative of -16/13*k**2 + 2/39*k**3 + 128/13*k - 45. Let h(c) = 0. What is c?
8
Let d(x) be the third derivative of 1/4*x**4 + 0*x - 5/6*x**3 - 216*x**2 + 0 - 1/60*x**5. Solve d(l) = 0 for l.
1, 5
Suppose -m + 5*j = 21, 3 = 6*m - 9*m + 3*j. Determine d so that 7*d**2 - 3 - m*d**2 + 1406*d - 1385*d + 21 = 0.
-6, -1
Let x = 178/3 - 881/15. Solve 3*r - x*r**2 - 12/5 = 0.
1, 4
Let v(h) be the first derivative of 3*h**4 - 824*h**3/3 - 990*h**2 - 568*h + 193. Factor v(i).
4*(i - 71)*(i + 2)*(3*i + 1)
Let l(n) be the second derivative of -n**4/66 + 7*n**3/3 - 150*n**2/11 - 1100*n. Solve l(r) = 0 for r.
2, 75
Let i(f) be the first derivative of 9*f**4/28 + 290*f**3 + 2028*f**2/7 - 5021. Determine u so that i(u) = 0.
-676, -2/3, 0
Let -16305*f - 9099*f + 115365 - f**3 - 180*f - 7781 - 324*f**2 = 0. What is f?
-164, 4
Let g(c) be the second derivative of -3*c**5/4 - 875*c**4/12 + 295*c**3/3 + c - 222. Factor g(i).
-5*i*(i + 59)*(3*i - 2)
Suppose m - 31 = -5*h, 90*h - 86*h = -12*m + 204. Factor -59/3*o**2 - 841/3 + 1/3*o**h + 899/3*o.
(o - 29)**2*(o - 1)/3
Suppose 56/3*r + 76/3*r**2 + 16/3*r**4 + 16/3 + 2/3*r**5 + 50/3*r**3 = 0. Calculate r.
-2, -1
Let r be (8 - 290/40)*-8*(-46)/897. Factor -2/13*m - 2/13 + r*m**2.
2*(m - 1)*(2*m + 1)/13
Suppose 25 = -5*j + 45. Factor 0*c**5 - 8 - c**3 + 3*c**4 - 5*c**4 - c**5 - c**j + 4*c + 10*c**2 - c**4.
-(c - 1)**2*(c + 2)**3
Suppose 2*z - 4*f - 170 + 196 = 0, 0 = -4*z - 4*f + 44. Let u be (-4)/3 - (-2 - 0). Determine j, given that 2/3*j**z + 0 - 4/3*j + u*j**5 - 2*j**4 + 2*j**2 = 0.
-1, 0, 1, 2
Let n(u) = 5*u**3 + 45*u**2 - 375*u + 560. Let c(j) = j**2 + j. Let p(b) = -5*c(b) + n(b). Factor p(z).
5*(z - 4)*(z - 2)*(z + 14)
Find j, given that -2 + 388*j**5 + 204*j**4 + 301*j**3 - 202*j**2 - 35*j - 662*j**3 + 8*j**5 = 0.
-1, -2/11, -1/6, 1
Factor 298/7*j - 25*j**2 - 3/7*j**3 - 120/7.
-(j - 1)*(j + 60)*(3*j - 2)/7
Let i(o) = -o**3 - 9*o**2 + 9*o - 8. Let y be i(-10). Let x = 1475 + -1097. Determine l so that 378 + 3*l + l**y + 2*l**2 - x = 0.
-1, 0
Let p be ((-400)/280)/(-10*15/1225). Solve 10/3*q**2 + 65/3*q - p = 0.
-7, 1/2
Let q(a) be the first derivative of -a**7/140 - 9*a**6/80 - a**5/5 - 19*a**2/2 - 11. Let o(y) be the second derivative of q(y). Solve o(x) = 0.
-8, -1, 0
Let g(d) be the first derivative of d**4/5 - 8*d**3/3 + 46*d**2/5 - 56*d/5 + 1553. Factor g(m).
4*(m - 7)*(m - 2)*(m - 1)/5
Let b(a) be the third derivative of a**5/12 + 115*a**4/24 - 1700*a**3/3 - 8519*a**2. Find t such that b(t) = 0.
-40, 17
Factor 1/9*t**2 - 910/9 + 59/3*t.
(t - 5)*(t + 182)/9
Let b(s) = -s**2 - 8*s - 7. Let z(j) = -2*j**2 - 1657*j - 4961. Let q(k) = b(k) + z(k). Find d such that q(d) = 0.
-552, -3
Factor 1/2*n**4 - 127/2*n**2 - 106*n - 11*n**3 - 54.
(n - 27)*(n + 1)*(n + 2)**2/2
Let o(j) = -20*j - 818. Let b be o(-41). Let s(r) be the first derivative of -b - 1/12*r**3 + 3/16*r**4 - r**2 - r. Determine m, given that s(m) = 0.
-1, -2/3, 2
Let h = -79277/2 - -39640. What is i in -2*i**2 + 0 + 0*i + h*i**4 - 1/2*i**5 + 0*i**3 = 0?
-1, 0, 2
Let a(f) be the third derivative of f**6/90 - 14*f**5/15 - f**2 + 520. Solve a(l) = 0.
0, 42
Let w(k) be the third derivative of 0 - 2*k + 0*k**3 + 0*k**5 + 248*k**2 + 1/6*k**4 - 1/30*k**6. Let w(z) = 0. Calculate z.
-1, 0, 1
Suppose 196*u = 199*u - 6, 0 = -2*w + 5*u + 62. Let x(m) be the first derivative of 75/4*m**4 - 12*m + 5 + w*m**2 - 45*m**3. Factor x(i).
3*(i - 1)*(5*i - 2)**2
Let o = 92 + 1937. Let x = o + -18236/9. Factor -164/9*m + 32/9 + 220/9*m**2 - x*m**3.
-(m - 8)*(5*m - 2)**2/9
Let w(b) be the third derivative of b**8/336 - 23*b**7/210 + 13*b**6/40 + 67*b**5/60 - 10*b**4/3 - 14*b**3 - 11*b**2 + 15. Factor w(a).
(a - 21)*(a - 2)**2*(a + 1)**2
Let k = 178205 + -1069199/6. What is z in -85/6*z**2 - k*z**3 + 7/6*z**5 + 11/2*z**4 + 16*z - 10/3 = 0?
-5, -2, 2/7, 1
Let o(h) be the third derivative of -13/3*h**4 + 2*h**2 + 0*h + 1/24*h**6 - 11/20*h**5 - 6*h**3 + 9. Solve o(j) = 0 for j.
-2, -2/5, 9
Determine x, given that 4*x + 28 + 31*x**4 - 9*x**5 - 8*x**3 - x**5 - 58*x**2 + 14*x**5 - 3*x**4