s x in -1/2*x**2 + 3 + o*x = 0?
-2, 3
Let m(g) be the second derivative of g**4/16 + 615*g**3/8 + 2167*g. Find d such that m(d) = 0.
-615, 0
Let k(q) be the second derivative of -2*q - 4 + 7/100*q**5 - 1/30*q**3 + 1/30*q**4 + 0*q**2 + 2/75*q**6. Solve k(a) = 0.
-1, 0, 1/4
Let s(d) be the third derivative of d**5/105 + 138*d**4/7 - 1658*d**3/21 + 8868*d**2. Suppose s(t) = 0. Calculate t.
-829, 1
Let m = -45 - -51. Let a be 1 + ((-16)/(-20))/(m/15). Suppose -11*z**4 + 6*z**2 + 3*z**a + 11*z**4 - 3*z**5 - 6*z**4 = 0. Calculate z.
-2, -1, 0, 1
Let t(o) be the third derivative of -o**5/12 - 205*o**4/24 - 100*o**3/3 - 729*o**2. Factor t(m).
-5*(m + 1)*(m + 40)
Let d be (63/42)/(6/16). Factor -3*w**2 + d*w**2 - w + 1 - w**2 - w**2 + w**3.
(w - 1)**2*(w + 1)
Let k = -27/85 + 36/17. Let a = -3/10 + k. Factor -a + 9/2*c**2 - 6*c**4 - 3*c + 6*c**3.
-3*(c - 1)**2*(2*c + 1)**2/2
Let m(z) = 4426*z - 75240. Let r be m(17). Solve 3 + 1/3*a**4 - 10/3*a**r - 3*a - 1/3*a**5 + 10/3*a**3 = 0.
-3, -1, 1, 3
Let z(c) be the second derivative of -c**6/15 + 3*c**5 - 209*c**4/6 + 144*c**3 - 252*c**2 - 3*c - 519. Find y such that z(y) = 0.
1, 2, 6, 21
Let v(h) be the second derivative of -h**5/80 + 2*h**3 - 77*h**2 + 173*h. Let x(i) be the first derivative of v(i). Factor x(m).
-3*(m - 4)*(m + 4)/4
Let t(w) be the first derivative of 325 - 3*w**2 + 0*w + 2/3*w**3. Factor t(a).
2*a*(a - 3)
Suppose -40 = 3*o - 2*f, -235*f - 40 = 4*o - 237*f. Factor o*j - 4/5*j**4 + 0 + 16/5*j**2 + 0*j**3.
-4*j**2*(j - 2)*(j + 2)/5
Let h(v) be the third derivative of v**8/1008 + 13*v**7/210 + 7*v**6/72 - 119*v**5/180 - 8*v**4/3 - 38*v**3/9 - v**2 + 1321*v. Factor h(g).
(g - 2)*(g + 1)**3*(g + 38)/3
Let l(j) be the third derivative of -j**6/300 + 33*j**5/25 + 199*j**4/60 + 2*j**2 + 45*j + 1. Factor l(c).
-2*c*(c - 199)*(c + 1)/5
Suppose n - 237*f + 38 = -232*f, -2*n - 68 = -9*f. Suppose 0 + 2*m**n - 26/3*m = 0. Calculate m.
0, 13/3
Let v(t) be the third derivative of t**8/896 + t**7/720 + t**6/2160 - 15*t**4/4 + 2*t**2 + 6. Let p(f) be the second derivative of v(f). Factor p(x).
x*(3*x + 1)*(15*x + 2)/6
Let s(c) be the first derivative of 4*c**5/5 + 139*c**4 - 564*c**3 + 850*c**2 - 568*c - 2551. Factor s(n).
4*(n - 1)**3*(n + 142)
Let p = 535 - 521. Find m, given that -99 + 20*m**2 + 2*m**3 - 89 - 64 + p*m + 216 = 0.
-9, -2, 1
Suppose -11 = p - n - 39, -5 = -5*n. Suppose 0 = -c + 4*k + 24, 3*c + 2*c - 3*k - 86 = 0. Solve -3*s**2 + 19*s + c*s - p*s + 9 = 0.
-1, 3
Let p(o) be the second derivative of 10*o**7/21 + 2*o**6 - 43*o**5/4 - 25*o**4/6 + 45*o**3/2 + 25*o**2 - 24*o + 10. Suppose p(s) = 0. Calculate s.
-5, -1/2, 1, 2
Let j = -456/13 + 259933/7410. Let u(w) be the third derivative of 0 + 0*w - 7/114*w**4 - j*w**5 + 22*w**2 - 49/57*w**3. Determine m, given that u(m) = 0.
-7
Let j(a) = -10*a**2 - 667*a + 5162. Let z be j(7). Factor 2450/11*c - 140/11*c**2 + 2/11*c**z + 0.
2*c*(c - 35)**2/11
Let l be 198/40 - (102/(-240) - (-39)/104). Let 4/5*w**l - 16/5*w**4 + 24/5*w**2 + 4/5*w**3 + 0*w + 0 = 0. What is w?
-1, 0, 2, 3
Let o = 260803/20 + -13040. Let m(r) be the second derivative of -r**4 - 9*r**2 - 11/2*r**3 + 0 + o*r**5 - 25*r. Solve m(t) = 0 for t.
-1, 6
Factor 279 - 24*j**4 + 48*j**2 - 3*j**5 + 119*j - 48*j**3 - 429 + 342 + 121*j.
-3*(j - 2)*(j + 2)**3*(j + 4)
Let m(v) be the first derivative of -2*v**3/39 - 788*v**2/13 - 1574*v/13 - 1999. Factor m(u).
-2*(u + 1)*(u + 787)/13
Suppose 2*i + 2*r = 5 + 9, -r = 4*i - 22. Suppose -11*d = i*d - 48. Factor 2/7*m**d + 16/7*m + 10/7*m**2 + 8/7.
2*(m + 1)*(m + 2)**2/7
Suppose 0 = -7*q + 27 - 6. Suppose 8*g**2 + 54*g**q + 14*g - 2*g + 21*g**3 + 52*g**2 = 0. What is g?
-2/5, 0
Let u(t) be the third derivative of -t**5/12 - 35*t**4/12 - 55*t**3/2 - 2586*t**2. What is q in u(q) = 0?
-11, -3
Suppose 0*c - 22*c = -4906. Let -69*t**2 + 125*t**3 - c*t**2 - 245*t - 283*t**2 - 25 = 0. What is t?
-1/5, 5
Suppose 31*p = -7 + 69. Find v such that -9*v**2 - 96 + 7*v**p + 30*v + 44 = 0.
2, 13
Suppose 2*m - 10*m + 72 = 0. Suppose 6 = 3*g + 5*y, g - m*y = -4*y + 22. Find q such that 4*q**2 - g*q + 6*q**4 + 6*q - 5*q**4 + q**3 - 5*q**2 = 0.
-1, 0, 1
Let g(s) = -20*s**3 - 20*s**2 - 76*s - 70. Let o(m) = -17*m**3 - 20*m**2 - 74*m - 69. Let h(d) = 5*g(d) - 6*o(d). Factor h(j).
2*(j + 2)*(j + 4)**2
Let k = -3894/233 - -12148/699. Find p, given that k*p**2 - 140/3*p + 2450/3 = 0.
35
Solve 1371*a + 2669*a + 32253*a**3 - 1056*a + 6940*a - 135*a**5 - 1104 - 28872*a**2 - 12066*a**4 = 0.
-92, 2/9, 2/5, 1
Let l(t) = t**3 - 850*t**2 - 511*t + 337. Let p(v) = v**3 - 3402*v**2 - 2043*v + 1347. Let d(b) = -26*l(b) + 6*p(b). Factor d(u).
-4*(u - 85)*(u + 1)*(5*u - 2)
Let w(u) be the third derivative of -u**6/1260 + u**5/21 - 19*u**4/84 + 23*u**3/2 + 7*u**2 + 7*u. Let i(p) be the first derivative of w(p). Factor i(m).
-2*(m - 19)*(m - 1)/7
Suppose -5*p - 4*z + 66 = 0, 4*p + 2*z - 44 - 10 = 0. Suppose 2*u**2 + 3*u - 6*u**2 + 3*u + p*u = 0. What is u?
0, 5
Let r(f) be the second derivative of -1/75*f**6 + 1/50*f**5 + 0*f**4 - 56*f - 3 + 0*f**3 + 0*f**2. What is l in r(l) = 0?
0, 1
Let u(q) = -q**3 + 5*q**2 - 11*q + 22. Let c be u(3). Suppose c*r - 8*r - 8 = 2*o, 5*r + 5*o = -15. Find v such that -5/3*v**3 - 5/3*v**r + 0*v + 0 = 0.
-1, 0
Suppose 25*r + 12 = 31*r. Suppose 2*n = r*u, -3*n + 10 = u + u. What is m in -6/7*m + 36/7*m**3 + 0 - 111/7*m**4 + 3*m**n + 60/7*m**5 = 0?
-2/5, 0, 1/4, 1
Let n(k) be the third derivative of 14*k**2 - 35/264*k**4 - 17/66*k**3 - 1/1320*k**6 + 0 - 2*k - 19/660*k**5. Find g such that n(g) = 0.
-17, -1
Let g(s) = -6*s - 18. Let u be g(-6). Suppose -h + u = 8*h. Factor 134*c**2 + 420*c + 70*c**3 + 52*c**2 + h*c**4 + 119*c**2 + 3*c**4 + 180.
5*(c + 1)**2*(c + 6)**2
Let s(t) = -63*t + 16*t**2 + 3*t**2 - 34*t**2 - 30. Let y(x) = -7*x**2 - 31*x - 16. Let d(w) = -4*s(w) + 9*y(w). Let d(f) = 0. What is f?
-8, -1
Let z(m) be the first derivative of -m**7/70 + m**6/8 + 3*m**5/10 - 8*m**2 - 74. Let s(i) be the second derivative of z(i). Suppose s(x) = 0. What is x?
-1, 0, 6
Let a(i) be the second derivative of -5*i**7/42 - 311*i**6/3 - 96721*i**5/4 - 4712*i. Let a(c) = 0. Calculate c.
-311, 0
Let m = 764 - 771. Let b be -4*m/(-28) - -1. Find c such that 1/2*c - 1/8*c**2 + b = 0.
0, 4
Let s = 4/45 - -14/45. Let g be 28*85/833 - (-48)/(-56). Factor -4/5*u + 0 + s*u**g.
2*u*(u - 2)/5
Let q(c) = -9*c + 34. Let h be q(4). Let z be ((-452)/(-24) - -1) + h/(-12). Factor -375*m**2 + 470*m + z*m**3 - 4*m**3 + 155*m + 59*m**3 - 5*m**4.
-5*m*(m - 5)**3
Suppose 5*q + 17 = -2*g + 49, -4*q = 3*g - 27. Let a be 4/q + 1920/9. Find v such that 4*v**2 + a*v**3 + 0*v**4 - 212*v**3 - 2*v**4 = 0.
-1, 0, 2
Let o(l) be the first derivative of -l**6/3 - 22*l**5 + l**4/2 + 110*l**3/3 - 16. Suppose o(y) = 0. What is y?
-55, -1, 0, 1
Suppose 5*p - 4*c = 24 + 42, 4*c = -p + 18. Let b(d) be the third derivative of 1/14*d**4 + p*d**2 + 0*d - 1/105*d**5 + 0*d**3 + 0. Factor b(q).
-4*q*(q - 3)/7
Find y, given that 40/7 + 64/7*y + 2/7*y**3 + 26/7*y**2 = 0.
-10, -2, -1
Let d(v) be the third derivative of v**7/490 + 19*v**6/70 + 429*v**5/140 + 317*v**4/28 + 20*v**3 + 4325*v**2. Let d(y) = 0. What is y?
-70, -4, -1
Suppose -3*p = 3*x - 114, -3*p + 7 = 1. Suppose 15*s + x - 66 = 0. Factor 3/2*f**4 - 9/2*f**s + 0 + 0*f + 3*f**3.
3*f**2*(f - 1)*(f + 3)/2
Let f(w) be the third derivative of 9*w**5/20 - 17*w**4/8 - w**3 - 1267*w**2. Let f(j) = 0. What is j?
-1/9, 2
Let z = 1249349/20 + -245997/4. Let f = z - 968. Find j such that -9/5*j**2 - 4/5 + f*j**4 - 11/5*j - 1/5*j**3 = 0.
-1, 4
Let i(o) be the third derivative of -o**7/14 + o**6/6 + 131*o**5/12 + 305*o**4/6 - 80*o**3 - 11*o**2 + 455*o. Find x, given that i(x) = 0.
-4, -3, 1/3, 8
Let t(g) be the third derivative of g**7/1470 - 139*g**6/420 + 69*g**5/35 - 59*g**4/12 + 275*g**3/42 - 41*g**2 - 5. Factor t(q).
(q - 275)*(q - 1)**3/7
Let g(n) be the third derivative of 0*n - 1/1890*n**7 + 0*n**3 + 1/540*n**5 - 43*n**2 - 1/108*n**4 + 1/540*n**6 + 0. Factor g(h).
-h*(h - 2)*(h - 1)*(h + 1)/9
Let m(y) = 2*y**2 + 9*y - 25. Let n be m(3). Suppose -5*w = -3*j - 18, 5*j = 5*w - 0*j - n. Factor -2/3*o**w + 0 + 0*o + 0*o**2 - 2/3*o**4.
-2*o**3*(o + 1)/3
Let u(t) = 130*t**2 - 684*t + 288. Let l(z) = 98*z**2 - 512*z + 216. Let b(s) = 9*l(s) - 7*u(s). Solve b(o