Factor h(m).
m*(m + 1)*(m + 2)
Let c be 2/2 - 8*10/(-4). Let 5*n**2 + n**3 - 12*n**3 - 10*n + c*n**3 - 5*n**4 = 0. Calculate n.
-1, 0, 1, 2
Let n(h) be the second derivative of -4/9*h**2 - 65*h + 0 + 1/54*h**4 + 1/9*h**3. Factor n(m).
2*(m - 1)*(m + 4)/9
Let g be 62/279 + 38/18 + (-9 - -7). Let q(d) be the first derivative of 7 - d**2 + d + g*d**3. Find p such that q(p) = 0.
1
Let c(g) be the first derivative of -1/1980*g**6 + 0*g - 3/44*g**4 - 1/110*g**5 - 11/3*g**3 + 0*g**2 + 5. Let d(i) be the third derivative of c(i). Factor d(r).
-2*(r + 3)**2/11
Let f(n) be the second derivative of -11*n**6/75 - n**5/10 + 11*n**4/10 - 7*n**3/15 - 2*n**2 - n + 458. Determine d, given that f(d) = 0.
-2, -5/11, 1
Let z(x) be the first derivative of 0*x**4 + 6 + 0*x**2 - 1/720*x**6 + 0*x - 1/120*x**5 + 23/3*x**3. Let v(j) be the third derivative of z(j). Factor v(s).
-s*(s + 2)/2
Let p = 25269/42095 + -12/42095. Factor 24/5*c**2 + 27*c - p*c**3 + 108/5.
-3*(c - 12)*(c + 1)*(c + 3)/5
Suppose -3*b + 9 = -h, 9 = -2*h + 2*b + 7. Suppose 8*i + h = 35. Factor 8/5*v**2 - 4/5*v**5 + 0*v + 12/5*v**3 + 0*v**i + 0.
-4*v**2*(v - 2)*(v + 1)**2/5
Let n(j) be the third derivative of -2*j**7/105 + 5*j**6 - 5773*j**5/15 + 1850*j**4 - 10952*j**3/3 - 45*j**2 - 13*j. Find q, given that n(q) = 0.
1, 74
Let a(j) be the third derivative of j**7/30 + 13*j**6/60 + 9*j**5/20 + j**4/6 - 2*j**3/3 + j**2 + 124. Factor a(s).
(s + 1)**2*(s + 2)*(7*s - 2)
Let o(k) be the first derivative of 100*k + 29 + 5/4*k**4 + 15*k**3 + 60*k**2. Suppose o(y) = 0. What is y?
-5, -2
Suppose -262*f - 180 = -266*f. Factor -f*x + 21*x - 4 + 30*x - 6*x**3 + 2*x**4 + 2*x**2.
2*(x - 2)*(x - 1)**2*(x + 1)
Let n(u) be the first derivative of -2*u**5/5 + 123*u**4/2 - 162*u**3 + 121*u**2 - 1201. Factor n(d).
-2*d*(d - 121)*(d - 1)**2
Let w(y) = -y**3 + y**2 + y + 1. Let j be w(-1). Determine o so that o**2 - 14*o**2 + 128*o - 4*o**4 + 64 + 12*o**5 - 80*o**3 + 13*o**j = 0.
-2, -1, -2/3, 2
Let a(g) be the first derivative of g**3 + 231*g**2 - 465*g + 342. Factor a(f).
3*(f - 1)*(f + 155)
Let y(x) be the first derivative of 5*x**4/4 - 535*x**3/3 + 1055*x**2/2 - 525*x - 1352. Factor y(r).
5*(r - 105)*(r - 1)**2
Let n = -594 + 586. Let v be n/(-6)*22/(1452/9). Determine t, given that -v*t + 2/11*t**3 - 4/11 + 4/11*t**2 = 0.
-2, -1, 1
Suppose 0 = -8*c + 2830 - 8630. Let b be 5 - (-29)/(c/120). Determine h so that b*h**5 + 0*h**4 - 2/5*h**2 + 2/5 - 4/5*h**3 + 3/5*h = 0.
-1, 1, 2
Solve -1720*r + 3875*r**4 - 1116*r**3 - 843 - 277 + 6380*r**2 - 3362*r**3 + 8617*r**3 + 6591*r**3 + 125*r**5 = 0 for r.
-28, -2, -1, -2/5, 2/5
Suppose 5*m - z + 31 = 126, -5*z = -m + 43. Suppose -8*n - 7*n + 8*n + m - n**2 = 0. What is n?
-9, 2
Let k(i) be the third derivative of i**8/252 + 26*i**7/315 - 4*i**6/15 - 392*i**5/45 + 680*i**4/9 - 800*i**3/3 - 3982*i**2. Let k(y) = 0. Calculate y.
-10, 2, 3
Let z(k) be the third derivative of k**8/43680 + k**7/1170 + 25*k**4/8 - k**3/6 - 22*k**2 + 6. Let w(c) be the second derivative of z(c). Factor w(h).
2*h**2*(h + 14)/13
Factor 16*m**4 + 32*m**2 - 45*m**2 - 5*m - 28*m**3 + 36 - 55*m**2 + 17*m.
4*(m - 3)*(m + 1)**2*(4*m - 3)
Let i = 81868 - 245597/3. Factor 0 + 1/3*n**2 + i*n.
n*(n + 7)/3
Let o(u) be the first derivative of 0*u + 0*u**2 + 33 + 0*u**3 + 1/8*u**6 + 3/10*u**5 + 0*u**4. Find d such that o(d) = 0.
-2, 0
Let r(w) be the third derivative of w**8/84 - 59*w**7/210 - 151*w**6/120 - 17*w**5/30 + 360*w**2 + w. Solve r(u) = 0.
-2, -1/4, 0, 17
Determine y so that 2198/3 + 2565*y + 7/3*y**2 = 0.
-1099, -2/7
Let b(o) = -2*o**2 - o + 20. Let p be b(0). Let r be (-66)/(-14) - (-2)/7. Find v such that -4 + p*v + r*v**2 + 3*v**2 - 20*v**3 - 4 = 0.
-1, 2/5, 1
Let k(y) = 1244*y + 60959. Let n be k(-49). Factor 77/6*z + 1/6*z**n - 121/3 + 10/3*z**2.
(z - 2)*(z + 11)**2/6
Suppose 58 + 2*w**3 + 91936*w**2 - 92016*w**2 + 262 - 8*w = 0. Calculate w.
-2, 2, 40
Factor 1348/3*b - 2/3*b**2 + 2704/3.
-2*(b - 676)*(b + 2)/3
Let f(m) = -2*m**2 + 25*m - 56. Let o be f(10). Let s(b) = -4*b**2 - 18*b + 40. Let t be s(o). Factor t + 9/4*z**2 + 6*z + 1/4*z**3.
(z + 1)*(z + 4)**2/4
Let r(j) be the first derivative of 0*j**2 - 3/10*j**4 + 2/15*j**3 - 1/15*j**6 + 6/25*j**5 + 0*j + 103. Factor r(d).
-2*d**2*(d - 1)**3/5
Suppose -4*v = 19*v + 69. Let m be 6 + 3*1/v. Let -24/7 + 198/7*j**2 - 102/7*j**3 - 24/7*j + 18*j**m - 174/7*j**4 = 0. Calculate j.
-1, -2/7, 2/3, 1
Let c(l) = -4507*l**2 - 4551*l - 148. Let x(j) = -1502*j**2 - 1516*j - 53. Let a(t) = -3*c(t) + 8*x(t). Factor a(v).
5*(v + 1)*(301*v + 4)
Let x(c) be the second derivative of 121*c**7/42 - 11*c**6/15 + c**5/20 - 1551*c. Determine i, given that x(i) = 0.
0, 1/11
Let s = 128 + -125. Factor -3*c**4 - c - 197*c**s + 5*c**5 - 6*c**5 - 2*c**4 - 5 + 10*c**2 + 199*c**3.
-(c - 1)**2*(c + 1)**2*(c + 5)
Suppose 303*h = 306*h - 6. Let b(r) be the first derivative of 8/3*r - 30 + 4*r**3 + 4/15*r**5 + 14/3*r**h + 5/3*r**4. Find l, given that b(l) = 0.
-2, -1
Factor 939 - 292*q + 12*q**2 - 6*q**2 - 1235 - 2*q**2.
4*(q - 74)*(q + 1)
Let o(h) = 21*h**3 + 173*h**2 + 322*h. Let b(z) = -4*z**3 - z**2 + 2*z. Let l(n) = 20*b(n) + 4*o(n). Solve l(c) = 0.
-166, -2, 0
Let n(k) = -k**2 - 13*k + 4. Let d be n(-10). Factor -2 - 2 - d*h**2 + 33*h**2 - 4*h.
-(h + 2)**2
Let j(f) be the first derivative of -74 + 88*f**2 - 5*f**3 - 95*f**2 + f**3 - 2*f**3 + 4*f. Determine p so that j(p) = 0.
-1, 2/9
Let -20*p**2 + 385*p + 110*p + 28*p**2 - 13*p**2 = 0. Calculate p.
0, 99
Suppose 3*z - 36 = 5*d, 5*d - 36 = -0*z - 3*z. Let p be 1/(-6) - (-50)/z. Determine i, given that 4*i - 14*i**3 - 8*i + 18*i**2 + 2*i**p - 6*i + 2 + 2*i**4 = 0.
1/2, 1
Suppose -b - p + 5 = 0, 0*b + 5*p = -b + 17. Suppose 2*c = 5*z - 9, 2*c - b*z - z = 1. Find j such that c + 2*j + j**2 + 12*j - 4*j + j**2 = 0.
-4, -1
Factor -87/2*y + 45*y**2 - 89 - 1/2*y**3.
-(y - 89)*(y - 2)*(y + 1)/2
Let t = -39 + 54. Suppose 0 = -o - 3*a + t, -3*o + 0*o + 5*a = -45. Factor -29*n**3 + o*n**2 + 35*n**4 - 6*n**3 - 5*n**5 - 10*n**4.
-5*n**2*(n - 3)*(n - 1)**2
Find d such that 1/4*d**3 + 96*d + 360 + 17/2*d**2 = 0.
-12, -10
Let 28*a**2 + 39845316 - 16*a - 39845316 = 0. Calculate a.
0, 4/7
Let t be 2 + (-244)/6*51/(-34). Let b be (-18)/t + (-90)/(-168). Factor 0 - d**2 + b*d**3 + 0*d.
d**2*(d - 4)/4
Factor 13*q**2 - 120*q + 71*q**2 - 13*q**3 - 288 + 52*q**2 - 20*q**3 + 3*q**3 + 2*q**4.
2*(q - 6)**2*(q - 4)*(q + 1)
Suppose -5*g - r = -104, -5*r - 15 - 95 = -5*g. Determine p so that g*p**3 - 3*p**3 - 6*p**3 - 60*p + 152*p**2 - 104 = 0.
-13, -2/3, 1
Let k(o) = -o**3 - 21*o**2 - 26*o - 118. Let z be k(-20). Let w(b) be the first derivative of 1/9*b**3 - b + 21 + 1/3*b**z. Let w(p) = 0. What is p?
-3, 1
Suppose -6026 = -385*q - 266*q + 484. Find d, given that -2/3*d**2 + q*d + 0 = 0.
0, 15
Let r = -56033/105 + 3960/7. Let q = -157/5 + r. Factor -2*u - u**3 - q - 13/6*u**2 - 1/6*u**4.
-(u + 1)**2*(u + 2)**2/6
Let t(m) be the third derivative of 9*m**6/80 - 7*m**5/40 - 5*m**4/4 - m**3 - 4*m**2 + 135. Factor t(f).
3*(f - 2)*(f + 1)*(9*f + 2)/2
Let k(m) be the second derivative of -m**6/105 - 11*m**5/70 + m**4/42 + 11*m**3/21 + 512*m. Find h such that k(h) = 0.
-11, -1, 0, 1
Let p(s) be the second derivative of -s**7/30 - 2*s**6/25 + 11*s**5/100 + s**4/5 - 2*s**3/15 - 230*s. Find i such that p(i) = 0.
-2, -1, 0, 2/7, 1
Let t = -619120 - -619122. Factor 2 - 1/2*q**t + 0*q.
-(q - 2)*(q + 2)/2
Let q be -5*((-33)/(-105) - (-10)/35). Let f be (q/2)/(6/12*-1). What is o in -7 - o**2 - 4*o + 10 - f = 0?
-4, 0
Let j be 676/264 - (-485)/(-32010). Determine q so that j*q + 6*q**2 + 6/11*q**4 - 2/11*q**5 + 46/11*q**3 + 0 = 0.
-2, -1, 0, 7
Solve -179 - 32 - 2240*o - 533 - 1698*o**2 - 18*o**3 = 0.
-93, -2/3
Suppose 0 = -2*y - 3*j - 6, -3*j = y - 1 + 7. Let q(v) = -v**3 - v**2 + 4*v. Let i be q(y). Determine x, given that -1/4*x**2 + 1/4*x + i = 0.
0, 1
Let f(z) be the first derivative of 3*z**4/16 + 35*z**3/4 - 219*z**2/8 + 111*z/4 + 3397. Determine j, given that f(j) = 0.
-37, 1
Suppose 4*o = 5*o + 4*x + 7, 2*x = -4*o + 42. Suppose 27 + o = 8*a. Solve -169*g**4 - 117*g**3 + 8 + 21*g + 36*g**2 + 350*g**2 - 124*g - a*g = 0 for g.
-2, 2/13, 1
Factor -172/15 - 34/3*w + 2/15*w**2.
2*(w - 86)*(w + 1)/15
Suppose 6 = i + 2*u - 10, i - 5*u + 19 = 0. Let w be (-12 + 6 + 3)