+ 35*y**2 - 12*y**m + 5*y**3 - 10*y = 0.
0, 1, 2
Suppose -23*h - 16 = -27*h + 3*c, -12 = -3*h + 2*c. Let x be (-10)/150*-3*16/h. Factor -x + 2/5*m**2 + 2/5*m**4 - 6/5*m + 6/5*m**3.
2*(m - 1)*(m + 1)**2*(m + 2)/5
Let c(g) be the third derivative of -g**6/1080 + g**5/270 + 95*g**4/216 + 50*g**3/9 - 738*g**2. Suppose c(x) = 0. Calculate x.
-5, 12
Factor -1/2*z**2 - 1225*z - 1500625/2.
-(z + 1225)**2/2
Suppose 41/4*d + 7/2*d**2 - 14 + 1/4*d**3 = 0. What is d?
-8, -7, 1
Suppose h + 25 + 3 = 4*x, 5*h - 5*x + 80 = 0. Let s = -9 - h. What is a in -13*a**s + 4 - 17*a**3 - 12*a**2 + 10*a**3 + 4*a - 8*a**4 = 0?
-1, 1/2
Suppose 5*y - 3*z - 24 = 0, -y = -6*y - z + 12. Factor -p + p**2 + 7*p**2 - 11*p**y + p**2 - 1 + 4*p**4.
(p - 1)**3*(4*p + 1)
Let r(l) be the first derivative of 1/14*l**4 - 20/21*l**3 + 195 + 9/7*l**2 + 0*l. Solve r(z) = 0.
0, 1, 9
Let v(x) be the third derivative of -x**5/450 + 47*x**4/60 - x**2 + 113. Factor v(a).
-2*a*(a - 141)/15
Let x(v) be the first derivative of -v**6/7 + 6*v**5/35 + 6*v**4/7 - 8*v**3/7 - 82. Determine r, given that x(r) = 0.
-2, 0, 1, 2
Let r(p) be the first derivative of -5*p**4/4 - 490*p**3 - 53280*p**2 + 219040*p + 6. Factor r(a).
-5*(a - 2)*(a + 148)**2
Let j be ((-204)/340*1*34 + 20)*(-1)/2. Let -j*i**2 - i + 6/5 = 0. What is i?
-6, 1
Suppose -15*o - 35 = -10*o. Let v be 142/(-497) + (-16)/o. Solve 0 - 9/2*j**v + 7/2*j**3 + j = 0 for j.
0, 2/7, 1
Let i(o) = -158*o - 171. Let w be i(-8). Let l = w + -1089. Factor 0 + 0*f - 2/5*f**3 - 2/5*f**2 + 2/5*f**5 + 2/5*f**l.
2*f**2*(f - 1)*(f + 1)**2/5
Let g = -27 - -27. Suppose 2*z + 12 = -g*z - 5*d, z + d = 0. Solve -4*u - 25*u**3 + 10*u**z - 5*u - u + 20*u**2 + 5*u = 0.
0, 1/2, 1
Let h(i) = 9*i**2 - 185*i - 120. Let d(f) = -3*f**2 + 62*f + 40. Let v be -6*(35/21 - 1). Let z(a) = v*h(a) - 11*d(a). Solve z(u) = 0 for u.
-2/3, 20
Let k(c) be the first derivative of -c + 5/18*c**3 + 144 - 7/12*c**2. Factor k(y).
(y - 2)*(5*y + 3)/6
Let h(g) = 8*g + 30. Let a be h(-3). Let j be ((-65)/234)/((-10)/a). Solve -1/6*c**2 + 2/3 - j*c**3 + 2/3*c = 0.
-2, -1, 2
Suppose 16*n - 8 = -4*u + 18*n, -4*u + 6*n = -8. Factor 27/7*b**3 - 6/7*b**u + 0 + 15/7*b**5 + 0*b - 36/7*b**4.
3*b**2*(b - 1)**2*(5*b - 2)/7
What is i in -14394 - 4152*i**2 + 3594 + 15820*i + 3*i**5 - 78*i**4 - 5200*i + 807*i**3 = 0?
4, 5, 6
Let j(f) be the first derivative of -f**3/3 - 347*f**2 - 120409*f - 1485. Solve j(a) = 0 for a.
-347
Let b be 20 - (264/(-136) + 21). Solve -2/17*t**3 + 12/17*t + 6/17*t**2 - b = 0 for t.
-2, 1, 4
Suppose 94 = -136*f + 774. Let j(o) be the third derivative of -1/5*o**f + 0*o**3 + 2/3*o**4 + 0 + 0*o - 1/30*o**6 - 13*o**2. Factor j(w).
-4*w*(w - 1)*(w + 4)
Let d be ((-3)/30)/(282/(-9870)). Factor -m - 4*m**3 + 0 - d*m**2 - 3/2*m**4.
-m*(m + 1)**2*(3*m + 2)/2
Suppose 4*j - 8 = 4. Let s(y) = y**3 + 1. Let h be s(1). Factor -h*x**4 - 3*x**5 - 63*x + 27 + 0*x**4 + 18*x**j - 4*x**4 + 30*x**2 - 3*x**4.
-3*(x - 1)**3*(x + 3)**2
Factor 56*i**2 + 56*i**4 - 144*i**3 + 16*i**3 - i**5 + 33*i**5 - 568*i**2 - 36*i**5.
-4*i**2*(i - 8)**2*(i + 2)
Factor -19/2*n**2 - 1/4*n**3 - 93/2 - 223/4*n.
-(n + 1)*(n + 6)*(n + 31)/4
Let v(x) = -10*x**3 + 516*x**2 + 499*x + 63. Let j(h) = -h**3 - 2*h + 7. Let c(g) = 36*j(g) - 4*v(g). Factor c(f).
4*f*(f - 517)*(f + 1)
Let k(m) be the third derivative of 0 - 1/20*m**5 + 0*m**3 + 0*m + 31*m**2 - 3*m**4. Find v such that k(v) = 0.
-24, 0
Let s(d) be the third derivative of d**8/112 + 2*d**7/35 - 21*d**6/10 + 44*d**5/5 + 40*d**4 - 384*d**3 + 22*d**2 + 9*d. Suppose s(h) = 0. Calculate h.
-12, -2, 2, 4
Let f = 5181 + -5179. Let z(i) be the second derivative of 16*i + 0 + 4/7*i**f - 1/21*i**4 + 1/3*i**3. Factor z(n).
-2*(n - 4)*(2*n + 1)/7
Determine s so that 1416/5 - 476/5*s**4 + 1891/5*s - 1/5*s**5 - 378*s**3 - 188*s**2 = 0.
-472, -3, -1, 1
Let w(l) = -13*l**2 + 1929*l + 1894. Let v(a) = -10*a**2 + 1930*a + 1900. Let d(n) = 6*v(n) - 5*w(n). Let d(t) = 0. Calculate t.
-386, -1
Let y(m) be the second derivative of -m**5/70 + 89*m**4/42 - 2024*m**3/21 + 1936*m**2/7 + 29*m + 7. Factor y(d).
-2*(d - 44)**2*(d - 1)/7
Let c(y) be the third derivative of 1/945*y**7 - 9*y**2 - 3 + 1/90*y**6 + 1/30*y**5 - 4/9*y**3 + 0*y - 1/27*y**4. Solve c(d) = 0.
-3, -2, 1
Let y(v) be the second derivative of -v**6/72 + 10*v**4/3 - 20*v**3 - 131*v. Let f(r) be the second derivative of y(r). Find u such that f(u) = 0.
-4, 4
Let t(o) = -10*o**4 + 3805*o**3 + 3685*o**2 + 65. Let i(l) = -l**4 + 346*l**3 + 335*l**2 + 6. Let u(n) = -65*i(n) + 6*t(n). Solve u(w) = 0.
-67, -1, 0
Let l(c) be the first derivative of -c**3 + 189*c**2 + 1476. Factor l(b).
-3*b*(b - 126)
Let i(n) be the third derivative of -35/48*n**4 + 0 - 1/120*n**5 + 0*n + 21*n**2 - 17/6*n**3. What is f in i(f) = 0?
-34, -1
Suppose 0*v**4 + 62*v**2 + 929*v**2 - 533*v**2 - 155*v**3 + 742*v**2 + 5*v**4 = 0. Calculate v.
0, 15, 16
Suppose 2*z = 22*z - 80. Let q be -8 + z - (-36)/8. Find r, given that -q + 0*r + 1/2*r**2 = 0.
-1, 1
Let l(t) be the first derivative of 0*t**3 + 8/5*t**5 + 0*t**2 + 31 - 2/3*t**6 + 0*t - t**4. Let l(c) = 0. What is c?
0, 1
Let h(m) = -m + 29. Let z be h(26). Factor 68 - 32*y - 4*y**z - 28*y**2 - 20 + 16.
-4*(y - 1)*(y + 4)**2
Let 40/3*t**2 + 224/3 + 632/9*t - 2/9*t**4 - 2*t**3 = 0. What is t?
-12, -2, 7
Let k(n) be the second derivative of n**7/18900 - 7*n**6/5400 + 5*n**4/6 + 5*n**2/2 - 8*n - 8. Let l(g) be the third derivative of k(g). Factor l(o).
2*o*(o - 7)/15
Let f(r) be the first derivative of r**4/32 + 715*r**3/24 + 357*r**2/8 - 6856. Factor f(y).
y*(y + 1)*(y + 714)/8
Suppose 161 + 345 = 22*l. Suppose -21*m + 4*f + 10 = -l*m, 3*f - 3 = -5*m. Let -24/11*v**4 + 34/11*v**m + 0 - 6/11*v - 4/11*v**2 = 0. What is v?
-1/3, 0, 3/4, 1
Let q(f) be the second derivative of -f**7/280 + 29*f**6/180 - 11*f**5/18 + f**4 + 29*f**3/6 + 3*f - 13. Let u(x) be the second derivative of q(x). Factor u(y).
-(y - 18)*(3*y - 2)**2/3
Let y be -2 - 1 - (8 + -3)/(-1). Let b be 4/26 + 551/1235. Determine w so that 0 - 3/5*w**4 + 3/5*w**3 - b*w + 3/5*w**y = 0.
-1, 0, 1
Suppose -14*w = 22*w - 756. Solve -6 - 8*r**3 + 8*r - 4*r**4 - 11 + w = 0 for r.
-1, 1
Let v(z) be the second derivative of -z**7/6300 + 13*z**6/1800 + 11*z**4/3 - z - 42. Let o(l) be the third derivative of v(l). Find n such that o(n) = 0.
0, 13
Let g(h) = 2*h - 23. Let f be g(17). Suppose 15*q = -f*q + 52. Factor -3/5*j**3 - 9/5*j**q + 9/5 + 3/5*j.
-3*(j - 1)*(j + 1)*(j + 3)/5
Determine w so that -2040*w**4 + 9579/2*w**2 - 96*w**5 - 1263*w + 108 - 5346*w**3 = 0.
-18, -4, 1/4
Let q = -105 - -53. Let c = 77 + q. Factor -c*k**2 + 5*k - 2*k**2 - 13*k - 9*k**2 - 28*k**3.
-4*k*(k + 1)*(7*k + 2)
Let i = 634 - 414. Let t be 44/i - (-149)/5. Factor 12*m - 75*m**3 - t*m**2 + 24/5.
-3*(5*m - 2)*(5*m + 2)**2/5
Let x(w) be the first derivative of -w**2/2 - w + 65. Let u(j) = -j**4 - 5*j**3 - 3*j**2 + 7*j - 2. Let m(d) = u(d) - 2*x(d). Determine s so that m(s) = 0.
-3, 0, 1
Suppose 35*d = 6*d - 7685. Let m = d - -267. Suppose 10/3*f - 28/9*f**3 - 2/9*f**5 + 4/9*f**m - 2*f**4 + 14/9 = 0. What is f?
-7, -1, 1
Let f(t) be the first derivative of t**4/7 + 200*t**3/7 + 15000*t**2/7 + 500000*t/7 + 36. Factor f(b).
4*(b + 50)**3/7
Let w(l) be the first derivative of l**7/420 + l**6/60 + l**5/30 + 74*l**3/3 + 97. Let o(m) be the third derivative of w(m). Factor o(q).
2*q*(q + 1)*(q + 2)
Let l(d) = -d**4 + 3*d**2 - d + 2. Let v(w) = -6*w**4 + 132*w**3 - 242*w**2 - 2*w + 4. Let u(y) = 2*l(y) - v(y). Suppose u(j) = 0. Calculate j.
0, 2, 31
Let j(c) be the third derivative of 0 + 1/100*c**6 - 1/1050*c**7 + 1/150*c**5 + 0*c - 39*c**2 - 1/40*c**4 - 1/560*c**8 - 1/30*c**3. Let j(y) = 0. What is y?
-1, -1/3, 1
Let h(j) be the second derivative of j**4/4 + 12*j**3 + 429*j**2/2 - j + 105. Solve h(k) = 0 for k.
-13, -11
Let w(k) be the third derivative of k**7/105 - 7*k**6/30 + 2*k**5 - 6*k**4 - 351*k**2. Factor w(x).
2*x*(x - 6)**2*(x - 2)
Find j, given that -4/13*j + 2/13*j**5 - 6/13*j**4 + 0 + 6/13*j**2 + 2/13*j**3 = 0.
-1, 0, 1, 2
Suppose -4*h - 25*j + 3904 = -27*j, 4*j - 1912 = -2*h. Suppose 8748 + 36*q**2 - h*q - 4/9*q**3 = 0. Calculate q.
27
Let k(x) = -x**2 - 1. Let c(v) = -103 - 22*v**2 - 160*v - 2*v**3 - 48 + 35. Let n(z) = c(z) + 12*k(z). Solve n(l) = 0 for l.
-8, -1
What is c in -26