/20070. Let v(g) be the second derivative of -o*g**4 - 5/3*g**2 + 0 - 20*g - 2/9*g**3. Factor v(t).
-2*(t + 5)**2/15
Let a be (-336)/40*10/6 + (-58)/(-4). Find l such that -l**2 - a*l**3 + 5/2*l + 3 = 0.
-3, -1, 2
Suppose -4*i = 5*l - 4*l + 2, 3*i + 6 = -3*l. Let n be (7 - 0) + (i - 3). Solve -g**2 - 6 + 18*g - 25*g**3 - 49*g**2 - n*g**4 - 53*g = 0 for g.
-3, -2, -1, -1/4
Let x(o) = 5*o**2 + 31*o + 223. Let d(f) = 2*f**2 + 15*f + 111. Let v(g) = -7*d(g) + 3*x(g). Solve v(k) = 0.
-6, 18
Let r(d) be the second derivative of d**5/5 - 557*d**4/3 + 51522*d**3 + 155682*d**2 + 73*d + 38. Factor r(o).
4*(o - 279)**2*(o + 1)
Suppose 17*n - 12 - 22 = 0. Suppose -y = -n*y + 10. Factor -30*x**2 - 4*x**3 + y*x**3 - x**3 + 20*x**4 + 5*x**5.
5*x**2*(x - 1)*(x + 2)*(x + 3)
Let m(t) = -1648*t + 19781. Let f be m(12). Suppose -188/3*l**2 - 52/3*l**4 + 56/3*l + 196/3*l**3 + 0 - 4*l**f = 0. What is l?
-7, 0, 2/3, 1
Let j(k) = 32*k**3 + 33*k**2 + k. Let l(h) = -8*h**3 - 8*h**2. Let y be (36/63)/(((-6)/7)/(-3)). Let o(c) = y*j(c) + 9*l(c). Determine x so that o(x) = 0.
-1, 0, 1/4
Suppose 0 = 112*d - 269 - 67. Let q(j) be the first derivative of 1/12*j**d + j - 1/2*j**2 - 9. Solve q(w) = 0 for w.
2
Suppose 1485*u - 3/2*u**4 - 4461/2*u**2 + 0 + 747*u**3 = 0. What is u?
0, 1, 2, 495
Let h(r) be the first derivative of -75 + 2/5*r**2 - 2/5*r + 2/5*r**4 + 14/15*r**3. Factor h(z).
2*(z + 1)**2*(4*z - 1)/5
Suppose 3*f + 8*f = 33. Let w(j) = -j**2 - 14*j + 2. Let q be w(-14). Determine k so that -7*k - k**2 - 3*k**2 + 97*k**3 - 93*k**f - q = 0.
-1/2, 2
Let h(n) be the first derivative of -n**5 - 25*n**2 + 15/2*n**4 - 5*n**3 + 0*n + 150. Factor h(r).
-5*r*(r - 5)*(r - 2)*(r + 1)
Factor 13/8*j**3 - 11*j + 1/8*j**4 + 7/4*j**2 + 0.
j*(j - 2)*(j + 4)*(j + 11)/8
Let a(s) be the first derivative of -s**4/6 - 5*s**3/3 - 6*s**2 - 50*s + 2. Let k(v) be the first derivative of a(v). Factor k(h).
-2*(h + 2)*(h + 3)
Let l(s) be the third derivative of -s**8/112 + 17*s**7/10 + s**6/5 - 238*s**5/5 - 2*s**4 + 952*s**3 + 2*s**2 - s + 525. What is a in l(a) = 0?
-2, 2, 119
Let u = -114774 + 1032968/9. Suppose 4 + u*x**2 - 2*x = 0. Calculate x.
3, 6
Let c = 32236 + -32234. Factor 36/5*k**c + 12*k + 5.
(6*k + 5)**2/5
Suppose 5*k + 285 = 2*g - 0*g, -g = 5*k + 300. Let x = k - -61. Factor 17 + 7*a**2 + 18*a - 2*a**3 - a**x - 4 - 3.
-2*(a - 5)*(a + 1)**2
Let m(p) = 15*p + 29 - 5*p**2 + 17*p**2 - 3*p**2 - 11*p**2. Let n be m(9). Let -4/5 + 6/5*y - 2/5*y**n = 0. Calculate y.
1, 2
Let h be ((-10)/25)/(29/(-145)). Let s be ((-5)/(-15))/(2/225). Suppose -135/2*m - 3/8*m**4 - 183/8*m**h - s + 27/4*m**3 = 0. What is m?
-1, 10
Let a(v) = -4*v**2 - 8*v - 2. Let c be a(-4). Let w = -7 - c. Find j such that 4*j**3 + 10*j**4 - 8*j**2 - 22 - 11*j + 8*j**4 - w*j**5 + 26*j**3 + 20 = 0.
-2/3, -1/3, 1
Let t be (-19714)/8 + (-4)/(-48)*3. Let w = t - -7400/3. Let -14/3*o**2 + 10/3*o**3 + w - 16/3*o = 0. What is o?
-1, 2/5, 2
Let j = 16 - -5. Suppose -16*u + j*u = 15. Determine p, given that 3*p**4 + 0*p**u + 3*p**3 - 12*p + 3*p**3 + 3*p**3 = 0.
-2, 0, 1
Factor 144/5 + 3/5*c**2 + 57/5*c.
3*(c + 3)*(c + 16)/5
Let l be (6 + (-42)/8)*8/6. Let i be l + (-63)/54 + (-46)/(-60). Factor 6/5*s**3 - 6/5*s + 0*s**2 - 3/5 + i*s**4.
3*(s - 1)*(s + 1)**3/5
Let f(c) be the first derivative of -3*c**4/4 + 70*c**3 + 438*c**2 + 888*c + 190. What is p in f(p) = 0?
-2, 74
Let w(o) be the third derivative of -o**5/30 + 76*o**4 + 3908*o**2. Factor w(c).
-2*c*(c - 912)
Factor 463/2*c**4 + 0 + 1395/2*c**3 + 1397/2*c**2 - 1/2*c**5 + 233*c.
-c*(c - 466)*(c + 1)**3/2
Factor 0 + 106/11*b**2 + 56/11*b**3 + 52/11*b + 2/11*b**4.
2*b*(b + 1)**2*(b + 26)/11
Factor 36*m + 51*m**2 + 33/2*m**3 + 3/2*m**4 + 0.
3*m*(m + 1)*(m + 4)*(m + 6)/2
Let g(d) = 1311*d + 28378. Let m be g(-21). Factor 198*j**3 + m*j**2 + 1/2*j**5 + 17*j**4 + 1331/2*j + 0.
j*(j + 1)*(j + 11)**3/2
Let h be ((-6)/(-4))/((-81)/(-12)). Let x be 270/(-225) + (4 + -2 - 4/5). Factor h*v**5 + 2/9*v**4 + 2/3*v**2 - 10/9*v**3 + 0*v + x.
2*v**2*(v - 1)**2*(v + 3)/9
Let t(n) be the third derivative of n**6/960 + n**5/24 + 336*n**2. Solve t(a) = 0 for a.
-20, 0
Let v(g) be the third derivative of -6*g**2 + 1/36*g**6 - g**3 + 0*g + 0*g**5 + 0 + 1/168*g**7 + 0*g**4. Let s(p) be the first derivative of v(p). Factor s(d).
5*d**2*(d + 2)
Let k(q) be the third derivative of q**6/30 - 11*q**5/5 + 251*q**4/6 - 322*q**3 + 643*q**2 - 4. Factor k(o).
4*(o - 23)*(o - 7)*(o - 3)
Let l = -1129 - -1176. Suppose -8 + l = 13*d. What is v in 0*v - 1/7*v**5 + 3/7*v**4 - 3/7*v**2 + 1/7*v**d + 0 = 0?
-1, 0, 1, 3
Let j(v) = 31*v**4 - 124*v**3 + 1049*v**2 - 3392*v + 3858. Let b(a) = 17*a**4 - 62*a**3 + 525*a**2 - 1696*a + 1930. Let l(c) = -18*b(c) + 10*j(c). Factor l(n).
4*(n - 20)*(n - 4)**2*(n - 3)
Let w(r) be the first derivative of 11/8*r**2 + 3/20*r**5 + 19/12*r**3 + 79 + 1/2*r + 13/16*r**4. Solve w(l) = 0 for l.
-2, -1, -1/3
Let r(z) be the second derivative of -z**5/12 + 65*z**4/24 - 85*z**2 - 58*z. Let s(i) be the first derivative of r(i). Factor s(x).
-5*x*(x - 13)
Let l(o) be the second derivative of 3*o**5/20 - 6*o**4 + 17*o**3/2 + 207*o**2 - 5050*o. Factor l(k).
3*(k - 23)*(k - 3)*(k + 2)
Let h(o) be the first derivative of -7/30*o**4 - 2/5*o**2 - 8 + 8*o + 3/5*o**3. Let m(g) be the first derivative of h(g). Determine l, given that m(l) = 0.
2/7, 1
Let s = -3241/4 - -12331/4. Let v = s + -2272. Factor v*d**3 + 1/2*d**4 + 0 - 2*d - 2*d**2.
d*(d - 2)*(d + 1)*(d + 2)/2
Let r(o) be the third derivative of o**7/840 - o**5/40 + o**4/12 - 19*o**3/6 - o**2 + 51*o. Let g(t) be the first derivative of r(t). Let g(h) = 0. What is h?
-2, 1
Let r(c) be the second derivative of 1/25*c**5 + 1/15*c**3 - c - 7 - 1/12*c**4 + 0*c**2 - 1/150*c**6. Determine b, given that r(b) = 0.
0, 1, 2
Let t = 3 + -1. Let j = 4291698 + -4291698. Determine d so that 2/11*d**t + 12/11*d + j = 0.
-6, 0
Let v(h) = h - 15. Let t be v(-14). Let g = 31 + t. Factor 5*b**5 + 25*b**4 + 27*b**3 + 10*b + 18*b**3 + 98*b**g - 63*b**2.
5*b*(b + 1)**3*(b + 2)
Suppose 1278 = -3*t + 1662. Let q be t/(-40) + 7 + -3. Solve -c - q - 1/5*c**2 = 0.
-4, -1
Let y(d) be the third derivative of d**6/210 - 79*d**5/210 - 10*d**4/21 - 20*d**2 + 25*d + 2. Factor y(t).
2*t*(t - 40)*(2*t + 1)/7
Suppose -637*b + 635*b = -24. Let i be 2/(-8)*(56/(-4) + b). Determine m so that i*m**4 - 1/2*m**5 + 0*m + 1/2*m**3 + 0 - 1/2*m**2 = 0.
-1, 0, 1
Let q be (2 + (-66)/55)/((-2)/(-30)). Suppose 0 = -9*h - q + 12. Factor 3/2*v**3 + h*v + 3/2*v**2 + 0.
3*v**2*(v + 1)/2
Let -1/5*a**2 - 69/5*a + 0 = 0. Calculate a.
-69, 0
Let c(w) be the second derivative of -w**10/10080 - w**9/1680 + w**7/210 - 7*w**4/6 - 18*w + 1. Let n(i) be the third derivative of c(i). Solve n(a) = 0.
-2, 0, 1
Let n(g) be the first derivative of -g**7/280 - g**6/24 - g**5/5 - g**4/2 - 17*g**3/3 + 35. Let a(i) be the third derivative of n(i). Factor a(z).
-3*(z + 1)*(z + 2)**2
Let t = -264 + 498. Let p be 51*(-6)/t*4/(-2). Find o such that 2/13*o**2 + 24/13*o + 10/13*o**5 - 8/13 + 6/13*o**4 - p*o**3 = 0.
-2, -1, 2/5, 1
Let z(u) = -2*u**3 - 3*u**2 + 7*u + 12. Let p be z(-3). Factor -4*f**5 - 26 - p*f + 8*f**2 - 96*f**3 + 74 + 118*f - 56*f**4.
-4*(f - 1)*(f + 1)**3*(f + 12)
Factor 75/2 + 79/8*w**2 - 38*w - 1/8*w**3.
-(w - 75)*(w - 2)**2/8
Factor 185*u**4 + 1555*u**2 - 777*u**2 + 200*u**3 - 758*u**2 + 45*u**5.
5*u**2*(u + 2)**2*(9*u + 1)
Suppose 4*x = 4*m - 22 + 2, -5*m + 3*x + 21 = 0. Factor -13 + 55*i - 60*i**m + 66*i**2 - 14 + 5*i - 3*i**4 - 36.
-3*(i - 1)**2*(i + 1)*(i + 21)
Let c(i) be the third derivative of 0 + 74*i**2 - 1/480*i**6 + 6*i**3 - 37/24*i**4 + 1/6*i**5 + 2*i. Factor c(w).
-(w - 36)*(w - 2)**2/4
Let m(r) = -r**3 + 572*r**2 + 1129*r + 580. Let b(y) = -2*y**3 + 572*y**2 + 1123*y + 585. Let h(o) = 2*b(o) - 3*m(o). Factor h(k).
-(k + 1)**2*(k + 570)
Suppose -5*b - 1544*v + 10 = -1528*v, 5*b + 4*v = 10. Find x, given that -12/5 + 1/5*x**b - 1/5*x = 0.
-3, 4
Let i(t) be the first derivative of -180 + t**2 - 35/6*t - 1/18*t**3. Let i(c) = 0. What is c?
5, 7
Let l(p) = -5*p**4 - 10*p**3 + p**2 + 7*p. Let v be ((-2)/(-6))/(19/(-228)). Let u(y) = -3*y**4 - 5*y**3 + 4*y. Let q(b) = v*l(b) + 7*u(b). Factor q(j).
-j**2*(j - 4)*(j - 1)
Factor -5/6*c**3 - 7/2 + 17/6*c + 11/2*c**2.
-(c - 7)*(c + 1)*(5*c - 3)/6
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