. Factor 7*d + 3*d - y*d**2 - 5*d.
-5*d*(d - 1)
Suppose -2*u + u - 6 = 4*a, -4*a - 24 = 4*u. Let t = -7 - u. Let j(i) = 5*i**2 + 3*i - 2. Let q(b) = b**2. Let g(s) = t*j(s) + 6*q(s). What is d in g(d) = 0?
1, 2
Determine j so that 2/5*j**2 - 18*j + 0 = 0.
0, 45
Let o(p) be the second derivative of p**4/30 - p**3/3 - 6*p**2/5 + p - 5. Solve o(w) = 0 for w.
-1, 6
Suppose -45*r**3 - 141*r + 362 + 297 + 616*r - 5*r**2 + 35*r**2 - 159 = 0. What is r?
-5/3, 4
Factor 34*i**2 - 357*i**4 - 118*i**3 - 2*i**2 + 713*i**4 - 6*i**3 - 372*i**4.
-4*i**2*(i + 8)*(4*i - 1)
Factor 12*f**4 - 32*f**2 - 133*f - 158*f + 14*f**4 + 20*f**3 + 99*f - 22*f**4.
4*f*(f - 3)*(f + 4)**2
Let i(p) be the third derivative of p**7/14 - 7*p**6/12 - 7*p**5/12 + 25*p**4/12 + 14*p**2. Factor i(y).
5*y*(y - 5)*(y + 1)*(3*y - 2)
Let a(f) = -5*f**2 + 140*f + 4936. Let o(w) = -4*w**2 + 140*w + 4930. Let g(l) = -5*a(l) + 6*o(l). Factor g(c).
(c + 70)**2
Let g(q) be the second derivative of q**6/10 - 3*q**5/4 + 5*q**4/4 + 5*q**3/2 - 9*q**2 + 144*q. What is h in g(h) = 0?
-1, 1, 2, 3
Let k(p) = -p**4 + p**3 - p**2 + p. Let u(l) = -7*l**4 - 9*l**3 - 33*l**2 - 7*l. Let v(q) = 6*k(q) - u(q). Factor v(x).
x*(x + 1)**2*(x + 13)
Let b = -131127/4 - -32787. Suppose -3/4*h**2 - 9/2 + b*h = 0. Calculate h.
1, 6
Suppose -5*l = 4*b + b + 15, 3*b = -5*l - 19. Factor -5 + 3 - 2*i**b - 16*i + 20*i.
-2*(i - 1)**2
Let s be (60/1485*-11)/(1/(-2)). Factor -4/9*f**3 - 20/9*f - 16/9*f**2 - s.
-4*(f + 1)**2*(f + 2)/9
Let w(j) = j**4 - j**3 - j + 1. Let l(f) = 9*f**4 - 16*f**3 + 9*f**2 - 6*f + 4. Let m(o) = -l(o) + 5*w(o). Solve m(c) = 0 for c.
-1/4, 1
Let w(q) = -q - 1. Let p be w(-8). Suppose -6*m + p = -5. Let -2*a + 3 + 1/3*a**m = 0. Calculate a.
3
Factor -26*m**3 - m**5 - 100*m - 15*m**4 + 102*m**2 - 17*m**3 - 54*m**3 - 267*m**2 + 18*m**3.
-m*(m + 1)*(m + 4)*(m + 5)**2
Let v be 49/14*((-28)/140 + (-54)/(-70)). Factor 2/7*k**4 + 0*k**v + 2/7*k**3 + 0*k + 0.
2*k**3*(k + 1)/7
Suppose 12*v - 10 = 7*v. Solve 1 - 8*m - 5*m**4 + 10*m + 32*m**3 - 18*m**v + 6*m**5 - 18*m**4 = 0 for m.
-1/6, 1
Let l(p) be the first derivative of -p**3 - 27*p**2/2 - 60*p - 53. What is o in l(o) = 0?
-5, -4
Let o(i) = -i**3 + 15*i**2 + 16*i + 5. Let b be 3/(-3) - (1 + -2)*17. Let a be o(b). Solve 3/4*u**a - 3/2*u + 15/4*u**2 - 3/4*u**4 + 0 - 9/4*u**3 = 0.
-2, 0, 1
Let y(w) be the second derivative of 0 - 1/12*w**3 - 5/24*w**4 + 0*w**2 - 1/10*w**5 - 13*w. Factor y(f).
-f*(f + 1)*(4*f + 1)/2
Let m = 38/3825 + -1/306. Let h(g) be the third derivative of 0*g + 0 + 4/15*g**3 + 6*g**2 - 1/300*g**6 + 1/15*g**4 - m*g**5. Suppose h(d) = 0. Calculate d.
-2, -1, 2
Factor 11*r**4 + 16*r**4 + 21*r**2 - 11*r - 180*r**3 + 13 + 11 - 151*r + 306*r**2.
3*(r - 4)*(r - 2)*(3*r - 1)**2
Let p be 5/15*(0 + 0). Factor -8/7*h**2 + p + 2/7*h**4 - 8/7*h + 2/7*h**3.
2*h*(h - 2)*(h + 1)*(h + 2)/7
Let z(k) = 5*k**3 + k**2 - k. Let l(h) = -33*h**3 + 243*h**2 + 513*h + 255. Let m(p) = -l(p) - 6*z(p). Determine b so that m(b) = 0.
-1, 85
Let y(r) be the second derivative of -r**6/180 - r**5/60 - 97*r. Factor y(s).
-s**3*(s + 2)/6
Let o(f) be the second derivative of -f**5/12 - 305*f**4/18 - 18605*f**3/18 - 162*f + 1. Factor o(g).
-5*g*(g + 61)**2/3
Let z(g) be the first derivative of -2/33*g**3 + 8/11*g**2 - 5/22*g**4 + 5 + 1/33*g**6 - 8/11*g + 2/55*g**5. Find b such that z(b) = 0.
-2, 1
Factor 4/5*z**2 - 124/5 - 24*z.
4*(z - 31)*(z + 1)/5
Let v(f) be the second derivative of 0 + 0*f**2 + 1/3*f**4 - 31*f + 4/25*f**5 + 0*f**3 + 1/150*f**6 - 1/210*f**7. Determine z, given that v(z) = 0.
-2, 0, 5
Let r(i) = -21*i**4 + 18*i**3 + 84*i**2 + 90*i + 33. Let d(x) = -62*x**4 + 52*x**3 + 252*x**2 + 270*x + 98. Let q(g) = -6*d(g) + 17*r(g). Factor q(y).
3*(y - 3)*(y + 1)**2*(5*y + 3)
Let l(s) = s**3 - 5*s**2 - 23*s - 5. Let y be l(8). Let r(c) be the first derivative of 1/2*c**4 + 1 - 4/3*c**y + c**2 + 0*c. What is t in r(t) = 0?
0, 1
Let s = 13 - 17. Let o be 24/(-3)*2/s. What is d in -20*d**2 + 12*d**2 + 4*d**o - 4*d - 4*d**5 + 2*d**3 + 4 + 6*d**3 = 0?
-1, 1
Factor x**3 + 295*x - 6*x**3 - 285*x - 5*x**2.
-5*x*(x - 1)*(x + 2)
Let z be 0 - (-15 - (-12 + 0)). Factor 1/2*d**4 + 0*d + 0 - 1/2*d**2 - 1/2*d**5 + 1/2*d**z.
-d**2*(d - 1)**2*(d + 1)/2
Let k(f) = -4*f**2 - 11*f + 21. Let z be k(6). Let t = -942/5 - z. Factor 9/5*a - t*a**2 + 0.
-3*a*(a - 3)/5
Factor -1/2 - 3/10*s**2 + 1/10*s**3 - 9/10*s.
(s - 5)*(s + 1)**2/10
Suppose 5*a - 8*g + 6*g = 0, 0 = -2*a + 3*g - 11. What is t in 1/4*t**a + 1/4*t + 0 = 0?
-1, 0
Let m(f) be the first derivative of 3/7*f**3 - 9/14*f**2 + 14 + 3/7*f - 3/28*f**4. Factor m(z).
-3*(z - 1)**3/7
Let d(z) be the first derivative of -2*z**3/27 - 10*z**2/9 + 22*z/9 + 107. Factor d(y).
-2*(y - 1)*(y + 11)/9
Let g(f) be the third derivative of f**5/540 - 5*f**4/108 + f**3/6 - 57*f**2. Factor g(s).
(s - 9)*(s - 1)/9
Let b be 6/25*(-10)/(-18)*5. Factor -4/9*m**2 - 2/9 + 4/9*m**3 + 2/3*m**4 + 2/9*m**5 - b*m.
2*(m - 1)*(m + 1)**4/9
Suppose 0 = -3*u + 3, -3*a - a + 5*u = -59. Factor -4*r**2 + a*r**2 - 12*r**2 - 3*r**2 + 3*r.
-3*r*(r - 1)
Suppose 4 + 4 = 4*x. Factor 9*q**2 - 7*q**2 + 2*q**x - 4*q**3.
-4*q**2*(q - 1)
Let y(t) be the first derivative of -t**6/120 - t**5/40 + t**4/4 - 3*t**3 + 13. Let b(z) be the third derivative of y(z). Let b(n) = 0. Calculate n.
-2, 1
Let d = 49/12 + -307/84. Find w such that d*w + 0 - 3/7*w**2 = 0.
0, 1
Let d(s) = 3*s - 7. Let a be d(3). What is g in -4*g - 8*g**2 + 4*g**3 + 6 + 2 + g**2 + 4*g**4 - 5*g**a = 0?
-2, -1, 1
Let r(g) be the second derivative of 1/90*g**5 + 26*g + 8/27*g**3 - 5/54*g**4 + 0 - 4/9*g**2. Let r(z) = 0. Calculate z.
1, 2
Let j(k) be the third derivative of -4/15*k**3 + 0 - 1/150*k**5 + 1/12*k**4 - 7*k**2 + 0*k. Solve j(g) = 0 for g.
1, 4
Let s be (-6)/(-9) + 7/224. Let k = s + -1/32. Determine c so that 2/3*c + k*c**2 + 0 = 0.
-1, 0
Let 22*o + o**2 - 3*o**2 + 8*o**2 - 14 + 6 = 0. Calculate o.
-4, 1/3
Determine l, given that 60*l**3 + 44*l**4 - 43*l**4 + 3*l**4 = 0.
-15, 0
Let -314/5*h**4 + 11846/5*h**3 + 2/5*h**5 + 2560 + 7616*h + 37442/5*h**2 = 0. What is h?
-1, 80
Suppose -d = -5*s + 1, -5*d = -d + s - 17. Suppose -3*j - d*j = -5*j. Factor 0 - 2/3*r**3 + j*r**2 + 2/3*r.
-2*r*(r - 1)*(r + 1)/3
Factor -89*z - z + 46*z + 5*z**3 - 640 - 196*z.
5*(z - 8)*(z + 4)**2
Let m be (-9)/((-7)/(-14) - 5). Suppose 2/5*w - w**m + 0 - 7/5*w**3 = 0. Calculate w.
-1, 0, 2/7
Let t(i) be the second derivative of -i + 0*i**2 + 0*i**3 + 3/100*i**5 + 0 + 0*i**4. Factor t(o).
3*o**3/5
Let v be 6/(-3) + 16/6. Let h = 31382/3 - 10458. Factor -2 + h*m - v*m**2.
-2*(m - 3)*(m - 1)/3
Let v(h) be the second derivative of 2*h**7/7 + 11*h**6/5 + 27*h**5/4 + 81*h**4/8 + 27*h**3/4 - 6*h + 1. Factor v(w).
3*w*(w + 1)*(2*w + 3)**3/2
Let a(p) be the third derivative of -1/840*p**8 + 1/175*p**7 + 2/15*p**4 + 0*p + 1/150*p**6 + 0*p**3 - 2/25*p**5 + 28*p**2 + 0. Let a(h) = 0. What is h?
-2, 0, 1, 2
Let 0 + 80*h - 1022/3*h**4 + 2332/3*h**3 + 1592/3*h**2 + 98/3*h**5 = 0. What is h?
-2/7, 0, 5, 6
What is c in -2*c**4 + 130*c**3 + 18392*c - 751*c**2 + 21296 + 441*c**2 - 1833*c**2 - 629*c**2 = 0?
-1, 22
Let -1/10*k + 3 - 1/10*k**2 = 0. What is k?
-6, 5
Let o(b) be the first derivative of 2/3*b**3 + 0*b - 1/144*b**5 - 3 + 1/1080*b**6 + 0*b**2 + 1/72*b**4. Let i(c) be the third derivative of o(c). Factor i(h).
(h - 2)*(2*h - 1)/6
Let w(y) be the first derivative of -1 + 1/2*y**2 + 0*y**3 - 1/210*y**5 - 1/420*y**6 + 0*y + 1/42*y**4. Let p(u) be the second derivative of w(u). Factor p(i).
-2*i*(i - 1)*(i + 2)/7
Let l(m) = m + 1. Let w(u) = -8*u. Let j(c) = 4*l(c) + w(c). Let d be j(0). Factor 5/2*k**3 - 1 - k + 7/4*k**2 + 3/4*k**d.
(k + 1)**2*(k + 2)*(3*k - 2)/4
What is z in -85*z + 22*z**3 + 95*z - 20*z**3 + 4 + 8*z**2 = 0?
-2, -1
Let n(k) be the second derivative of 1/40*k**6 + 0*k**3 - 1/56*k**7 + 7*k + 0*k**4 + 3/40*k**5 + 0*k**2 + 0. Factor n(m).
-3*m**3*(m - 2)*(m + 1)/4
Let p(r) = 2*r**2 + 4*r + 6. Suppose 4*g - 2*i - 4 - 4 = 0, -2*g + 20 = 3*i. Let q(z) = -3 + g + 5*z**2 + 7 + 5 + 9*z. Let f(y) = -9*p(y) + 4*q(y). Factor f(t).
2*(t - 1)*(t + 1)
Suppose 0 = 5*f + o - 21, -2 = 5*f + 3*o - 35. Find k, given that 12*k - 27/5*k**f + 12/5 + 21/5*k**2 = 0.
-1, -2/9, 2
Let g(v) = 2*v**3 + 108*v**2 + 354*v + 343. Let k(d) = -3*d**3 - 107*d**2 - 356*d 