6 + 40*y**3 - 3245*y**2. Factor z(w).
-4*(w + 5)**2*(7*w - 12)/5
Let d(l) be the third derivative of -l**8/126 - l**7/63 + 49*l**6/30 + 724*l**5/45 + 328*l**4/9 - 640*l**3/3 - l**2 + 3. Find q, given that d(q) = 0.
-4, 3/4, 10
Let d(y) be the second derivative of y**4/3 - 2*y**3 + 4*y**2 - 2641*y. Factor d(f).
4*(f - 2)*(f - 1)
Let z = 139849/163149 - 1/23307. Find b, given that -z*b - 1/7*b**2 + 1 = 0.
-7, 1
Let u(w) = w**3 - 9*w**2 + 16*w + 14. Let p be u(7). Factor -8*s**3 + 0*s**5 - 4*s**5 + 8*s**5 - p*s**3 + 0*s**5.
4*s**3*(s - 3)*(s + 3)
Let x(v) be the second derivative of -v**6/30 + v**4 - 8*v**3/3 + 28*v + 26. What is i in x(i) = 0?
-4, 0, 2
Let f(y) be the second derivative of y**6/6 - 53*y**5/2 + 3080*y**4/3 + 15680*y**3 - 570*y. Factor f(j).
5*j*(j - 56)**2*(j + 6)
Let i(u) be the second derivative of -104*u + 7203/10*u**2 + 1/20*u**4 + 49/5*u**3 + 0. Factor i(f).
3*(f + 49)**2/5
Let i(m) be the second derivative of m**4/30 + 178*m**3/5 + 71289*m**2/5 + 403*m. Factor i(j).
2*(j + 267)**2/5
Let v(q) be the second derivative of -q**6/120 - 173*q**5/40 - 29581*q**4/48 + 5017*q**3/2 - 7569*q**2/2 - 2448*q. Factor v(z).
-(z - 1)**2*(z + 174)**2/4
Let v(j) be the third derivative of -j**7/245 - 107*j**6/420 - 563*j**5/105 - 752*j**4/21 - 512*j**3/7 + 3683*j**2. Solve v(y) = 0 for y.
-16, -3, -2/3
Suppose -2*x + 11 + 33 = 4*u, 5*x - 102 = -2*u. Find a, given that 5*a**3 - a**4 - x*a**2 + 9*a**3 + 8*a**2 + a**4 - 2*a**4 = 0.
0, 1, 6
Let d(w) be the first derivative of 16*w**4 + 8672*w**3/3 - 2174*w**2 + 544*w + 3226. Factor d(p).
4*(p + 136)*(4*p - 1)**2
Let z(m) be the first derivative of 4*m**5/5 - 48*m**4 - 5120*m**3 - 139264*m**2 - 1572864*m - 9306. Factor z(c).
4*(c - 96)*(c + 16)**3
Let b be 75/(-3)*-1*12/3. Suppose z + 17 - b = -2*o, -4*z = -4. Factor -118*t**2 - 3*t**4 + o*t**3 + 442*t - 147 - 116*t**2 - 106*t + 7*t**3.
-3*(t - 7)**2*(t - 1)**2
Let f(l) be the third derivative of 7*l**6/30 - 67*l**5/5 + 391*l**4/3 + 160*l**3 + 52*l**2 - 2*l + 12. Determine x so that f(x) = 0.
-2/7, 5, 24
Let b be -6*(-2)/(-4)*(-280)/(-12). Let k = 95 + b. Suppose 51*u**2 + 52*u**2 + k*u - 51 - 108*u**2 + 21 = 0. Calculate u.
2, 3
Let u(d) be the first derivative of 1/4*d**4 + 0*d - 2*d**3 + 0*d**2 - 50. What is o in u(o) = 0?
0, 6
Factor 160*n + 47*n**2 - 14*n**2 - 18*n**2 - 13*n**2 + 215 - 57.
2*(n + 1)*(n + 79)
Let k(q) = q**2 - 16*q + 18. Let i be k(14). Let b = 13 + i. Factor 4*w**5 + 18*w**b - 15*w**3 - 2*w + w**4 - w**2 + 0*w - 5*w**5.
-w*(w - 2)*(w - 1)*(w + 1)**2
Suppose 0 = 3*w - 47 - 13. Determine t, given that w*t**3 + 6*t - 2*t**2 - 26*t**3 + 4*t**4 - 2*t**4 = 0.
-1, 0, 1, 3
Factor 45 - 11/4*w - 1/4*w**2.
-(w - 9)*(w + 20)/4
Let y(d) = -21*d + 5. Let z be y(-15). Suppose 135 + z = 5*s + 5*o, -5*s + o = -479. Let -s + 18*f**3 + 6*f**5 + 47 + 48 - 4*f**2 - 20*f**4 = 0. Calculate f.
0, 1/3, 1, 2
Let m = 474 - 470. Let g be ((-2)/8)/(m*7/(-672)). Factor 3/2*a**3 + g - 6*a - 3/2*a**2.
3*(a - 2)*(a - 1)*(a + 2)/2
Suppose -11*l + 1066 + 551 = 0. Let s = l - 437/3. Determine j, given that 7/6*j + s - 1/6*j**2 = 0.
-1, 8
Let o = -10908/5 - -10924/5. Suppose 8 - 308/5*p**2 - 68/5*p - 4*p**4 + o*p**5 - 236/5*p**3 = 0. Calculate p.
-2, -1, 1/4, 5
Let a(u) be the third derivative of -u**5/60 - 11*u**4/24 - 3*u**3/2 - 33*u**2. Let g be a(-6). Find l such that 12*l + 2*l**2 - 31*l - 4 + g*l = 0.
-2, 1
Let t = 21015 + -21012. Solve -1/5*j**t - 8/5*j - 7/5*j**2 + 16/5 = 0.
-4, 1
Let s(t) be the second derivative of -t**5/300 + 3*t**4/20 - 27*t**3/10 + 27*t**2/2 - 3*t + 2. Let n(m) be the first derivative of s(m). Factor n(p).
-(p - 9)**2/5
Suppose -2*q - 32 = -3*h - 3*q, -3*h + 12 = -3*q. Solve -33*d + h*d - 9 + 9 - 3*d**2 - 36 = 0 for d.
-6, -2
Let q(i) be the third derivative of 17*i**5/20 - 151*i**4/24 - i**3 + 851*i**2. Suppose q(f) = 0. Calculate f.
-2/51, 3
Suppose 54 = -5*c - 89*m + 92*m, 2*c + 414 = 23*m. Factor -8/19 + c*x + 2/19*x**2.
2*(x - 2)*(x + 2)/19
Determine u, given that 98*u**2 - 3*u**4 - 249*u**2 - 112 + 12*u**3 - 41 - 366*u - 125*u**2 - 78*u**3 = 0.
-17, -3, -1
Factor -2/3*s**2 + 478/3*s - 476/3.
-2*(s - 238)*(s - 1)/3
Let j(x) be the third derivative of 3*x**8/112 - 11*x**7/35 + 23*x**6/20 - x**5/5 - 57*x**4/8 + 9*x**3 + 37*x**2 + 31*x - 1. Suppose j(z) = 0. Calculate z.
-1, 1/3, 2, 3
Factor 10*p**3 + 20*p**3 - 58 - 58 - 144*p + 116 + 2*p**4 - 116*p**2.
2*p*(p - 4)*(p + 1)*(p + 18)
Let m(t) be the second derivative of t**7/63 + 11*t**6/45 + 19*t**5/15 + 26*t**4/9 + 8*t**3/3 + 169*t - 1. Let m(k) = 0. Calculate k.
-6, -2, -1, 0
Let r = -2610 + 2610. Let t(i) be the first derivative of 16 + 1/12*i**4 + r*i**3 + 0*i + 0*i**2 + 1/15*i**5. Factor t(f).
f**3*(f + 1)/3
Suppose -2*g = 4*b - 30, 49*b = 52*b - 3*g + 9. Let c(i) be the second derivative of -1/80*i**5 - 1/48*i**b + 0*i**2 + 0*i**3 + 0 + 19*i. Factor c(j).
-j**2*(j + 1)/4
Let o(y) be the second derivative of 8/27*y**4 + 0*y**3 + 1/135*y**6 + 0*y**2 - 14 + 2*y + 4/45*y**5. Factor o(g).
2*g**2*(g + 4)**2/9
Let q(j) be the second derivative of j**6/30 + 39*j**5/20 + 239*j**4/6 + 238*j**3 - 2548*j**2 + 11*j + 271. Determine g so that q(g) = 0.
-14, -13, 2
Suppose 0 = m + 5*c - 6, 2*m + 5*c - 2 = 5*m. Suppose 0 = -s + 2 + m. Solve 12*x - s*x**2 - 192 + 6*x + 30*x = 0.
8
Factor -25*k**5 - 30*k**4 - 22*k**4 + 13*k**5 + 168*k**3 + 16*k**5.
4*k**3*(k - 7)*(k - 6)
Let o be (-3 - -7) + -3 + 74/(-222). Factor 0*m + o*m**5 + 54*m**2 + 42*m**3 + 0 - 34/3*m**4.
2*m**2*(m - 9)**2*(m + 1)/3
Let d(w) = -12*w**5 + 92*w**4 - 596*w**3 + 1332*w**2 - 816*w - 16. Let u(o) = o**5 + o**4 - 3*o**3 + o**2 + 2. Let f(k) = -d(k) - 8*u(k). Solve f(p) = 0.
0, 1, 3, 4, 17
Suppose c - 3*c + 38 = 5*o, -4*o - 48 = -4*c. Solve -4 + 16 - 6*p - 4*p**2 + c*p = 0 for p.
-1, 3
Let i(z) be the second derivative of 0 - 48*z**2 - 47*z**4 + 249*z - 82*z**3 + 25/14*z**7 + 22*z**6 + 417/20*z**5. Let i(q) = 0. What is q?
-8, -1, -2/5, 1
Let a(q) = 2*q**2 - q + 10. Let o(u) = 44*u**2 - 1444*u - 1176. Let h(f) = -24*a(f) + o(f). Factor h(k).
-4*(k + 1)*(k + 354)
Let h(w) be the second derivative of -14/15*w**6 + 1/7*w**7 + 0 + 17/10*w**5 + 45*w - w**4 + 0*w**3 + 0*w**2. Let h(s) = 0. What is s?
0, 2/3, 1, 3
Factor -280*k - 18*k**2 - 48*k**3 + 43*k**2 + 32*k**3 + 21*k**3 - 300.
5*(k - 6)*(k + 1)*(k + 10)
Let m = -4937/4 - -4943/4. Factor 0*p + 0 + 0*p**2 - m*p**4 + 0*p**3.
-3*p**4/2
What is q in -5/3*q**2 + 40/3 + 199/3*q = 0?
-1/5, 40
Suppose 6979*h + 6552 = 7161*h. Factor -12*i + h - 2/3*i**3 - 7*i**2.
-(i + 6)**2*(2*i - 3)/3
Determine b so that 284*b + 39*b**3 + 124*b - 136*b**5 + 16*b**3 - 137*b**4 + 878*b**2 + 138*b**5 = 0.
-2, -1/2, 0, 3, 68
Let l(o) = -9*o - 13. Let h be l(-2). Suppose -4 - 36 = -10*b. Factor -7 - 8 - 4*j + h - b*j + 2*j**2.
2*(j - 5)*(j + 1)
Let p = 730 + -725. Let h be p + (-228)/44 + 82/88. Factor 3/4*x**3 + 0*x + 0 - h*x**2.
3*x**2*(x - 1)/4
Let g(r) be the second derivative of -3*r**5/140 + r**4/14 + 8*r**3/7 - 48*r**2/7 - 6688*r. Determine i, given that g(i) = 0.
-4, 2, 4
Let m be 2 + (4 - (6 - 1)). Let h(r) = 7*r**2 - 3*r - 17. Let n(y) = -3*y + y + y**2 - 3 + 2 + y. Let l(v) = m*h(v) - 5*n(v). Suppose l(o) = 0. What is o?
-3, 2
Suppose -52*c**2 + 4495 + 160*c**2 + 5*c**4 - 4*c**4 - 270*c - 4252 - 18*c**3 + 0*c**4 = 0. What is c?
3, 9
Let n(g) be the third derivative of -g**6/135 - g**5/30 - g**4/18 + 15*g**3/2 - 44*g**2 + g. Let y(c) be the first derivative of n(c). Factor y(b).
-4*(b + 1)*(2*b + 1)/3
Let d(n) be the first derivative of -3*n**5/20 + 27*n**4/8 + 19*n**3/4 + 853. Let d(g) = 0. What is g?
-1, 0, 19
Let w(i) be the first derivative of -i**7/2100 - i**6/300 + 2*i**5/25 + 4*i**4/3 - 103*i**3/3 + 44. Let o(p) be the third derivative of w(p). Factor o(u).
-2*(u - 5)*(u + 4)**2/5
Let s = 98131/93 + -32700/31. Let -s*u**4 + 11/3*u**2 + 0 + 2*u + 4/3*u**3 = 0. Calculate u.
-1, 0, 6
Let y(a) be the second derivative of a**7/1785 + a**6/1020 - a**5/255 - 91*a**2/2 - 2*a + 7. Let f(s) be the first derivative of y(s). Solve f(g) = 0 for g.
-2, 0, 1
Let m(i) be the third derivative of 10*i**2 - 5/3*i**3 - 1/720*i**6 + 1/48*i**4 + 0 + 0*i**5 + 0*i. Let q(r) be the first derivative of m(r). Factor q(y).
-(y - 1)*(y + 1)/2
Factor -493*b + 363 + 291*b - 240*b - 3*b**3 - 293*b - 378*b**2 + 753.
-