
Let i(q) be the first derivative of 1/18*q**6 - 2/3*q - 7/6*q**2 + 2/15*q**5 - 8/9*q**3 - 1/6*q**4 - 78. Let i(t) = 0. Calculate t.
-1, 2
Let t = -5737/5 - -1151. Let j = -2901 - -14517/5. Find y such that -3*y + 18/5*y**2 + j*y**3 + 0 - t*y**4 + 3/5*y**5 = 0.
-1, 0, 1, 5
Let z = -250378 - -1752648/7. Determine m so that 6534/7*m + 198/7*m**2 + z*m**3 + 71874/7 = 0.
-33
Let p be -27*(5/5 + -3). Let d = p - 39. Solve 5*j**4 - 10*j + 10*j**3 - 17*j**3 + 17*j**3 + d - 20*j**2 = 0.
-3, -1, 1
Let h(u) = -u**3 - 31*u**2 - 25*u - 9. Let t be h(-27). Let x be t/(-1575) + 0 + 8/14. Let 0 + 2/7*r**x - 2/7*r = 0. Calculate r.
0, 1
Let n be 5*(-8)/660 + 870/1287. Factor n + 2/13*x**2 - 8/13*x.
2*(x - 2)**2/13
Let a be 12/5*(-275)/(-330). Factor 0 - 8/5*u**a - 2/5*u**4 + 0*u + 8/5*u**3.
-2*u**2*(u - 2)**2/5
Let r be (5 + -9 - -79) + 5. Let v = r - 75. Solve -6 - 11 - v*d + 19 + d**2 + 2*d = 0 for d.
1, 2
Let z(a) = 27*a**2 - 96*a + 177. Let c(o) = 11*o**2 - 38*o + 70. Let l(d) = -12*c(d) + 5*z(d). Find h, given that l(h) = 0.
3, 5
Let i(r) be the third derivative of -r**8/9 - 5*r**7/21 + 23*r**6/9 - 11*r**5/2 + 95*r**4/18 - 8*r**3/3 + 9*r**2 - 33*r. Suppose i(d) = 0. Calculate d.
-4, 2/7, 3/8, 1
Let v be (-3283)/(-3) - (-2)/36*-6. Let h = v + -1090. Suppose -4/7*a**3 - 2/7*a**h + 4/7*a + 0*a**2 + 2/7 = 0. Calculate a.
-1, 1
Solve -512/5 - 66/5*w**3 + 124/5*w**2 + 264/5*w + 1/5*w**4 = 0 for w.
-2, 2, 64
Let a be 47 + -54 - (-3670)/(-14). Let q = -269 - a. What is n in 2/7 + 3/7*n + q*n**2 = 0?
-2, -1
Let g(l) be the first derivative of -l**4/8 + 17*l**3/6 - 3*l**2/2 - 180*l + 4003. What is p in g(p) = 0?
-4, 6, 15
Factor 7*n**2 - 7*n**2 - 67*n + 3*n**2 + 1200 - 53*n.
3*(n - 20)**2
Let h(l) be the first derivative of 7/8*l**2 + 0*l + 80 + 1/12*l**3 - 7/16*l**4 - 1/20*l**5. Factor h(y).
-y*(y - 1)*(y + 1)*(y + 7)/4
Let b(t) = t**4 - t**3 - t - 1. Let j(m) be the first derivative of 3/5*m**5 - m**4 + 31 + 1/3*m**3 - 4*m - 2*m**2. Let n(y) = 4*b(y) - j(y). Factor n(o).
o**2*(o - 1)*(o + 1)
Factor -8/3 - 460/3*f - 452/3*f**2.
-4*(f + 1)*(113*f + 2)/3
Let y = -6/34547 + 207312/172735. Solve -y - 7/5*h + 0*h**2 + 1/5*h**3 = 0.
-2, -1, 3
Let d(w) be the second derivative of -7*w**6/15 - 4819*w**5/20 - 515*w**4/6 + 344*w**3/3 + 4*w - 17. What is c in d(c) = 0?
-344, -1/2, 0, 2/7
Let d = -15 + 23. Factor d*k - 22*k**2 + 7*k**2 + 11*k**2 - 4*k**3.
-4*k*(k - 1)*(k + 2)
Let d(v) be the first derivative of 22*v**3/3 - 114*v**2 + 80*v - 1081. Factor d(x).
2*(x - 10)*(11*x - 4)
Determine h so that 41/2*h**4 - 122*h**2 + 76*h - 1/2*h**5 - 17*h**3 + 160 = 0.
-2, -1, 2, 40
Let h(k) be the first derivative of -k**3/12 + 465*k**2/4 - 216225*k/4 - 594. Factor h(i).
-(i - 465)**2/4
Let h = -19199 + 28458. Suppose 36*k = 38*k - 8. Find i, given that -4*i**4 + k*i**2 + 9259*i - h*i = 0.
-1, 0, 1
Let g(u) = -1077*u - 7458. Let s be g(-7). Factor s*c - 3/4*c**2 - 2187.
-3*(c - 54)**2/4
Let d(r) be the first derivative of r**4/36 - r**3/2 + 4*r**2/3 - 51*r - 32. Let y(q) be the first derivative of d(q). Factor y(a).
(a - 8)*(a - 1)/3
Let x = 355 + -345. Suppose x*a - 3*a = a. Suppose -16/13*w**3 - 12/13*w**2 + 12/13 + 2/13*w**5 + a*w**4 + 14/13*w = 0. Calculate w.
-2, -1, 1, 3
Determine x, given that 23545*x**2 - 13955741*x + 74*x**2 + 30208820 + 44189141*x + 966*x**2 + 23*x**3 - 18*x**3 = 0.
-2458, -1
Suppose -3*s = -3*v + 45, -5*v + 54 + 5 = 3*s. What is q in -v*q**2 + 16*q**2 - 9 - q**2 + 6*q + q**2 = 0?
-3, 1
Let c(g) be the third derivative of 8*g**7/735 - 47*g**6/140 - 103*g**5/105 - 19*g**4/28 - 183*g**2 - 2*g. Solve c(d) = 0 for d.
-1, -3/8, 0, 19
Let f(g) be the third derivative of g**5/130 - 7*g**4/78 + 11*g**3/39 - 5215*g**2. Find m, given that f(m) = 0.
1, 11/3
Let w(h) be the third derivative of 0 + 2/105*h**7 + 4/3*h**3 - 1/30*h**6 - 1/5*h**5 - 15*h**2 + 0*h + 1/6*h**4. Find f, given that w(f) = 0.
-1, 1, 2
Let z(h) be the second derivative of 0*h**3 + 0 - 1/50*h**5 - 1/75*h**6 + 0*h**2 - 13*h + 1/15*h**4. Factor z(a).
-2*a**2*(a - 1)*(a + 2)/5
Let g(w) be the third derivative of -13/168*w**8 + 0 + 7/6*w**4 - 1/60*w**5 - 23/30*w**6 - 2/3*w**3 + 24*w + w**2 + 19/42*w**7. Find r such that g(r) = 0.
-1/2, 2/13, 1, 2
Find d, given that 1795/2*d**2 - 175/2*d**4 - 720*d - 810 + 5/2*d**5 + 1435/2*d**3 = 0.
-1, 1, 18
Let m(r) be the third derivative of 0*r**3 + 3*r**2 - 1/1176*r**8 + 1/42*r**5 + 10*r + 0 - 1/735*r**7 + 1/42*r**4 + 1/140*r**6. Factor m(o).
-2*o*(o - 2)*(o + 1)**3/7
Let p be 15 + 246/164*(4 + -14)/1. Let 0 + 48/7*r**4 + 22/7*r**5 + 30/7*r**3 + p*r + 4/7*r**2 = 0. Calculate r.
-1, -2/11, 0
Solve 190*a**2 + 938/5*a - 12/5 = 0 for a.
-1, 6/475
Let w be 1/(-4 - 0)*((5 - 23) + -13 + 23). Suppose 2/9*a**3 + 0*a + 2/3*a**5 - 8/9*a**4 + 0 + 0*a**w = 0. What is a?
0, 1/3, 1
Let u(q) be the first derivative of -5*q**3/3 - 695*q**2/2 + 2860*q - 6202. Factor u(d).
-5*(d - 4)*(d + 143)
Let n be ((7 + -6)/3)/((-3)/(-150)). Let d = 1700 + -1695. Factor 0 + 88/3*j**3 + n*j**d - 16/3*j**2 - 140/3*j**4 + 0*j.
2*j**2*(j - 2)*(5*j - 2)**2/3
Suppose 0 = 5*c + 15, -5*d + c + c + 16 = 0. Let p = 33097 + -231677/7. Solve p*g + 4/21 + 2/21*g**d = 0 for g.
-2, -1
Determine a so that 176*a + 12*a**3 + 45*a - 327*a**2 + 739*a - 4*a**3 - 636 - 5*a**3 = 0.
1, 2, 106
Suppose -2/13*b**2 + 808/13*b - 81608/13 = 0. Calculate b.
202
Let g = 7184 + -7173. Let p(f) be the second derivative of 0 + 1/42*f**7 + 1/6*f**3 - 1/10*f**5 - 1/30*f**6 + 1/6*f**4 + g*f - 1/2*f**2. Factor p(a).
(a - 1)**3*(a + 1)**2
Let q(i) be the second derivative of -27/22*i**4 + 0 + 1/165*i**6 - 178*i + 5/22*i**5 - 28/11*i**2 + 83/33*i**3. Factor q(c).
2*(c - 1)**3*(c + 28)/11
Let m(i) = 3*i**3 - 57*i**2 - 114*i + 93. Let o(k) = -6*k**3 + 117*k**2 + 227*k - 163. Let h(t) = 7*m(t) + 3*o(t). Suppose h(b) = 0. Calculate b.
-3, 1, 18
Suppose -a - 5*f = 12, -3*f - 4 + 10 = 5*a. Solve 8 - 56*m + 28*m - m**5 + 22*m + 7*m**a + 3*m**4 - 11*m**2 = 0.
-2, -1, 1, 4
Let o(a) be the third derivative of -1/165*a**5 - 26*a + 2*a**2 - 7/660*a**6 - 1/385*a**7 + 0 + 0*a**3 + 0*a**4. Factor o(v).
-2*v**2*(v + 2)*(3*v + 1)/11
Let d(g) be the third derivative of -4*g**7/105 + 11*g**6/30 - 2*g**5/3 - 4*g**4/3 + 1564*g**2. Factor d(n).
-4*n*(n - 4)*(n - 2)*(2*n + 1)
Suppose 3*w - 415 = -1471. Let d = -197 - w. Solve d*k**2 - 154*k**2 - k + 5*k = 0.
-4, 0
Let x(i) = 34*i**2 - 169*i - 3. Let c be x(5). Let d(k) be the first derivative of -3/10*k**4 + 0*k - 25 + 14/15*k**3 + 6/5*k**c. Factor d(a).
-2*a*(a - 3)*(3*a + 2)/5
Suppose 0 = -7*f - 0*f + 3*f. Suppose -2*z + 2*c + 592 = f, 0 = -2*z - 0*z - 4*c + 604. Solve -2*s**3 - z - 4*s + 298 - 6*s**2 = 0.
-2, -1, 0
Let b(s) = -23*s**3 - 71*s**2 + 108*s. Let j(u) = -50*u**3 - 142*u**2 + 211*u. Let x(o) = -13*b(o) + 6*j(o). Solve x(g) = 0 for g.
0, 2, 69
Let m = 8916 + -80234/9. Let h(n) be the first derivative of -5/6*n**2 - 1/18*n**6 - 1/3*n - 4 - 5/6*n**4 - m*n**3 - 1/3*n**5. Let h(c) = 0. Calculate c.
-1
Let u(w) be the third derivative of 11*w**6/360 - w**5/15 - 11*w**4/72 + 2*w**3/3 - 228*w**2 - 3*w. Find j such that u(j) = 0.
-1, 1, 12/11
Let p = -1764 + 1762. Let k be (p*(-21)/(-224))/((-3)/4). Solve -5/4*h + k*h**2 + 1 = 0 for h.
1, 4
Suppose -o + 5*o = 5*d + 29, 2*d = 3*o - 13. Let w(m) = -3*m**2 - m - 3. Let y(c) = 1 + 16*c - 17*c - 1. Let v(q) = d*y(q) - w(q). Find b such that v(b) = 0.
-1
Let b(a) = a**3 + 5*a**2 - 10*a - 22. Let d be b(-6). Factor 30*c**d - 26*c**2 - 26*c - 2*c**2.
2*c*(c - 13)
Suppose -2*t - 8*o = -7*o - 14, o - 8 = -t. Let w(z) be the third derivative of -10*z**2 + 0 + 3/16*z**4 + 0*z + 3/10*z**5 - 1/2*z**3 + 7/80*z**t. Factor w(n).
3*(n + 1)**2*(7*n - 2)/2
What is c in -5214*c**2 - 91*c**3 - 30492*c - 3*c**4 + 43*c**3 + 0*c**4 + 8639 + 27298 - 180*c**3 = 0?
-33, -11, 1
Suppose 22 = -42*m + 25 + 165. Let n(z) be the second derivative of -1/4*z**5 + 0*z**m + 0*z**2 + 12*z + 0 + 5/6*z**3. Suppose n(k) = 0. What is k?
-1, 0, 1
Let a(c) be the third derivative of -c**5/60 + 38*c**4/3 - 301*c**3/2 - 3*c**2 - 74*c + 13. What is b in a(b) = 0?
3, 301
Let v = 896 - 889. Suppose 1 - 3*p**4 + 0 + 2 - 14*p + 13*p + v*p - 6*p**3 = 0. Calculate p.
-1, 1
Let v be 25140/(-9090)*2/((-40)/6). Let z = v - 3/101. Factor 3/5 - z*t + 1/5*t**2.
(t - 3)*(t - 1)/5
Suppose 0 = 6*z - 3025 + 1705