4 - 28*h**2 + 1216*h**4 + 17*h**3 - 424*h = 0 for h.
-16, -3, 1, 2
Suppose 5*l - 212 = -3*x, 5*x - l + 41 = 357. Suppose -123*p = -121*p - x. What is d in -p*d - 3*d**2 + 5*d + 3 - 6*d**3 + 33*d**3 = 0?
-1, 1/9, 1
Suppose -121*m + 47 + 49 = -267. Let j(s) be the second derivative of 0 + 2/5*s**5 + 0*s**2 + 5*s + 2/15*s**6 + 0*s**m + 0*s**4. Factor j(u).
4*u**3*(u + 2)
What is o in -31*o - 2*o**2 + 252 - 612 - 41*o = 0?
-30, -6
Let s(m) be the first derivative of 5*m**3/3 - 1655*m**2/2 + 1650*m + 5149. Find i, given that s(i) = 0.
1, 330
Let x = 452 - 423. Solve 8*y**2 + x*y - 3*y**2 + 22*y - 11*y + 33 + 2 = 0.
-7, -1
Let p be ((-1)/(-19))/(2086/59451). Let 0 + p*g**5 - 9/2*g**4 + 9/2*g**2 - 15/2*g**3 + 6*g = 0. What is g?
-1, 0, 1, 4
Let x(t) be the third derivative of -1/3*t**3 - 1/16*t**4 + 0*t + 34*t**2 - 1 - 1/240*t**5. Factor x(r).
-(r + 2)*(r + 4)/4
Let q(t) be the first derivative of -4*t**5/5 + 8*t**4 - 20*t**3 - 16*t**2 + 64*t + 131. Factor q(p).
-4*(p - 4)**2*(p - 1)*(p + 1)
Let t = -1364 - -1364. Let f(k) be the second derivative of -4/9*k**2 + 52/27*k**3 + t - 14*k - 169/54*k**4. Determine h, given that f(h) = 0.
2/13
Let p be (-6)/10*360/(-216) - (-20)/(-28). Factor -2/7*c + p*c**2 - 4/7.
2*(c - 2)*(c + 1)/7
Let m(w) be the first derivative of -1/11*w**4 + 0*w + 0*w**2 - 27/22*w**6 + 29 + 36/55*w**5 + 0*w**3. Factor m(p).
-p**3*(9*p - 2)**2/11
What is i in 2/17*i**2 + 3132/17*i + 1226178/17 = 0?
-783
Let s(a) be the third derivative of -11*a**7/245 + 8*a**6/105 + 17*a**5/105 - 8*a**4/21 - a**3/21 + 3510*a**2 - a. Determine j so that s(j) = 0.
-1, -1/33, 1
Factor 1/6*y**4 + 0*y**2 + 0 - 10/3*y**3 + 0*y.
y**3*(y - 20)/6
Let r be ((-30)/70*1470/20 - 15)/((-20)/8). Factor 99/5*b**2 - r*b + 6 + 3/5*b**4 - 39/5*b**3.
3*(b - 10)*(b - 1)**3/5
Let w(z) be the third derivative of z**5/20 + 187*z**4/8 - 94*z**3 - 5*z**2 - 2. Factor w(j).
3*(j - 1)*(j + 188)
Let m be 2/4*(-3)/(-3). Let j(k) = -5752*k - 17256. Let v be j(-3). Factor -1/4*d**4 - 1/4*d**2 + v + m*d**3 + 0*d.
-d**2*(d - 1)**2/4
Suppose 8609*q + 44 = a + 8613*q, 0 = -5*a + 5*q - 30. Suppose 89/8*k**a + 9*k - 7/8*k**5 + 39/2*k**2 - 155/4*k**3 + 0 = 0. Calculate k.
-2/7, 0, 1, 6
Let h(c) = -2*c**2 - 31*c - 42. Let z be h(16). Let k be (-2)/12 + (-775)/z. Determine j so that 4/7*j**5 + 8/7*j**2 - 4/7*j**4 - 8/7*j**3 - k + 4/7*j = 0.
-1, 1
Let u(i) be the third derivative of 3/8*i**6 + 0 + 1/42*i**7 + 2*i**5 - 28*i**2 + 10/3*i**4 + 0*i + 0*i**3. What is j in u(j) = 0?
-4, -1, 0
Let x(h) = -2*h**2 - 8*h - 1. Let p(f) = 7*f**2 - 245*f - 267. Let i(k) = 2*p(k) + 6*x(k). Factor i(t).
2*(t - 270)*(t + 1)
Let n(k) be the third derivative of -k**6/40 - 41*k**5/20 - 69*k**4 - 1224*k**3 + 6*k**2 - 15*k. Let n(j) = 0. Calculate j.
-17, -12
Let b be (-1 + 5)*(-2 + (7 - 1)). Suppose -5*k = -3*y + 2*y - b, -4*k + 32 = 4*y. Factor 2*j**k - 3*j**4 + 5*j**4 - 2*j**5.
-2*j**4*(j - 2)
Let x(k) be the third derivative of k**7/525 + 181*k**6/300 + 276*k**5/5 + 135*k**4 + 200*k**2 - 4. Find m such that x(m) = 0.
-90, -1, 0
Let y = 132 - -9. Suppose 67 + y = 8*n. Factor -q**2 + 3*q + n - 22 + 0*q**2.
-(q - 4)*(q + 1)
Let z be (-2)/(-72) + 1435592/200160. Factor 48/5 + 6/5*i**2 + z*i.
6*(i + 2)*(i + 4)/5
Let p(r) be the second derivative of r**5/30 + 10*r**4/3 + 227*r**3/9 + 56*r**2 - 203*r. Solve p(u) = 0.
-56, -3, -1
Let h(v) be the third derivative of -5*v**8/84 - 614*v**7/105 - 1247*v**6/30 + 33*v**5 + 918*v**4 + 1368*v**3 - 8265*v**2. Find m, given that h(m) = 0.
-57, -3, -2/5, 2
Let v(g) be the first derivative of 2*g**3/27 + 365*g**2/9 + 484*g/3 + 1641. Determine j, given that v(j) = 0.
-363, -2
Let g(u) be the second derivative of -u**6/10 - 81*u**5/20 - 54*u**4 - 270*u**3 + 2215*u. Solve g(a) = 0 for a.
-15, -6, 0
Let y(x) be the second derivative of x**4/3 - 52*x**3/3 + 176*x**2 + 5*x + 124. Factor y(w).
4*(w - 22)*(w - 4)
Let n(i) be the first derivative of 2*i**3/39 - 282*i**2/13 + 1120*i/13 - 3985. Factor n(p).
2*(p - 280)*(p - 2)/13
Factor 0 + 147/2*r**5 + 33267/2*r**3 - 27324*r**2 + 12696*r - 2079*r**4.
3*r*(r - 1)**2*(7*r - 92)**2/2
Let u = -182 - -180. Let c(v) = -20*v**2 - 1805*v - 23645. Let b(f) = 3*f**2 + 258*f + 3378. Let j(m) = u*c(m) - 15*b(m). Factor j(w).
-5*(w + 26)**2
Let l = -14018 + 14030. Let m(r) be the first derivative of -25*r**2 - l + 5/3*r**3 + 125*r. Let m(d) = 0. What is d?
5
Suppose 0 = -3*p - 3*q, p + q - 8 = 4*q. Suppose -4*r + 772 = 4*n, -17*n + 12*n + 185 = r. Factor -10*b**4 + b**3 - r*b**2 + 205*b**p + 2*b**5 + b**3 - 4*b**3.
2*b**2*(b - 5)*(b - 1)*(b + 1)
Let d be 4/(-10)*(-17 - 120/(-10)). Let c be (-1)/2 + d + -50 + 50. Solve c - 21/4*q + 27/4*q**5 - 6*q**2 + 33/2*q**3 + 45/2*q**4 = 0 for q.
-2, -1, 1/3
Factor -20 + 17/2*d**3 + 14*d + 29*d**2.
(d + 2)**2*(17*d - 10)/2
Let x be 66/10*(-640)/(-384). Suppose 5*j = 2*g + x, 9*g - 3*j = 11*g - 13. Factor 15*s - 3/2*s**g - 75/2.
-3*(s - 5)**2/2
Factor -456/7*d**2 - 74/7*d - 936/7*d**3 - 4/7.
-2*(6*d + 1)**2*(13*d + 2)/7
Let o(r) be the third derivative of -5/12*r**3 - 1/840*r**7 + 0*r + 3/160*r**6 - 4*r**2 - 3/32*r**4 + 11/240*r**5 + 4. Factor o(k).
-(k - 10)*(k - 1)*(k + 1)**2/4
Determine y, given that 54/5*y**4 + 170*y**2 - 2/5*y**5 + 192/5*y - 86*y**3 - 1144/5 = 0.
-1, 2, 11, 13
Let f(p) be the first derivative of 6/7*p**2 - 17*p - 1/14*p**4 + 1/3*p**3 + 23. Let v(o) be the first derivative of f(o). What is q in v(q) = 0?
-2/3, 3
Let b(k) be the third derivative of k**5/20 - 9*k**4 - 386*k**2. Find x, given that b(x) = 0.
0, 72
Let u(b) be the third derivative of -b**6/60 - b**5/15 + 40*b**4/3 + 896*b**3/3 - 3357*b**2. Factor u(v).
-2*(v - 14)*(v + 8)**2
Let u(b) be the third derivative of 3*b**7/490 + 47*b**6/280 + 65*b**5/84 + 57*b**4/56 + 13*b**3/21 - 58*b**2 + 2. Suppose u(p) = 0. Calculate p.
-13, -2, -1/3
Factor 5/2 - 3/2*g + 1/8*g**3 - 9/8*g**2.
(g - 10)*(g - 1)*(g + 2)/8
Suppose 15*r - 20 = 2*l + 20*r, -4*l + 4*r = -16. Let g be (0 + -1)*6/(-42). Factor -g*f**3 - 2/7*f**2 - 1/7*f + l.
-f*(f + 1)**2/7
Factor -2/7*g**5 + 12/7*g**4 - 26/7*g**3 - 8/7*g + 0 + 24/7*g**2.
-2*g*(g - 2)**2*(g - 1)**2/7
Factor -1175*y**2 - 4*y**3 - 739*y**2 + 348*y**2 + 121*y**2 - 1872 + 3740*y - 419*y**2.
-4*(y - 1)**2*(y + 468)
Find j such that -1875*j + 25*j**3 - 28125/4 - 5/4*j**4 + 125/2*j**2 = 0.
-5, 15
Factor 1/3*f**5 + 0*f**4 + 0 - 9*f**3 - 18*f**2 + 0*f.
f**2*(f - 6)*(f + 3)**2/3
Let i = 2249 - 1436. Let j be 0/(56/(-126) + 23/(-9)). Suppose j + 816*m**3 - i*m**3 + 0 - 3*m**4 = 0. Calculate m.
0, 1
Suppose 67*f - 72 - 104*f + 72 + 3*f**2 - 224*f = 0. Calculate f.
0, 87
Let s(c) = -26*c**3 - 68*c**2 + 96*c - 16. Let u(l) = 5*l**3 + 13*l**2 - 18*l + 3. Let j(t) = 3*s(t) + 16*u(t). Factor j(r).
2*r**2*(r + 2)
Factor 2/5*v**4 - 9/5*v + 0 + 8/5*v**2 + 19/5*v**3.
v*(v + 1)*(v + 9)*(2*v - 1)/5
Solve 2967/2*p + 0 + 1/2*p**2 = 0 for p.
-2967, 0
Let d(t) be the first derivative of -6*t**2 - 60*t + 15*t**3 - 20 + 3/5*t**5 + 6*t**4. Factor d(q).
3*(q - 1)*(q + 2)**2*(q + 5)
Let q(k) be the first derivative of 2/3*k**3 + 16*k + 74 - 1/2*k**4 + 10*k**2. Determine t, given that q(t) = 0.
-2, -1, 4
Factor -1/6*j**4 - 731/6*j + 0 - 733/6*j**3 - 1463/6*j**2.
-j*(j + 1)**2*(j + 731)/6
Let h be (-20 + 13)*12/(-21). Let d(n) be the first derivative of -9 - 3/2*n**h + 3/2*n**2 + 1/2*n**6 + 0*n**5 + 0*n**3 + 0*n. Factor d(k).
3*k*(k - 1)**2*(k + 1)**2
Suppose -376*m + 43*m = -43*m - 580. Let 1/7*f**3 + 6/7*f - f**m + 0 = 0. What is f?
0, 1, 6
Find m such that 93*m**4 - 27*m**5 + 27682*m**3 + 63*m**2 - 13866*m**3 - 12*m - 13933*m**3 = 0.
0, 4/9, 1
Let p be (5187/(-360))/19 - ((-28)/10 + 2). Let b(z) be the third derivative of -23*z**2 + 0*z + 5/8*z**4 + 0 - p*z**6 + 0*z**3 - 1/6*z**5. Factor b(y).
-5*y*(y - 1)*(y + 3)
Let v be ((-2)/(-1671))/((-14)/42). Let y = 3328/3899 - v. Solve 10/7*d**2 - 2/7*d**5 + 4/7*d + y*d**3 - 2/7*d**4 + 0 = 0 for d.
-1, 0, 2
Let o(y) = -y**2 - 14*y - 10. Let q be o(-10). Let a be 522/q + (6/10 - 1). Determine r so that 85 + 16*r**2 + a*r**3 + 4*r**4 + 3*r - 85 = 0.
-3, -1, -1/4, 0
Let i = 121718/279 + -13414/31. Factor -64/9 + 0*n + i*n**2 - 4/9*n**4 + 0*n**3.
-4*(n - 2)**2*(n + 2)**2/9
Determine l so that -75*l**4 - 43*l + 103*l + 170*l**2 + 5*l**5 - 355*l**2 + 195*l**3 = 0.
0, 1, 12
Let n(l) be the third deriva