k**3 - 9/4*k**5 + 11979/4*k - 57/4*k**4 + 3435/2*k**2 + 3267/4 = 0.
-11, -3, -1/3, 11
Suppose 39 - 13 = 13*f. Let w = 1 + 2. Find g such that -60*g**2 + f*g**3 - 5*g - 5*g**3 + 2 + 64*g**2 + 2*g**w = 0.
1, 2
Let v(l) = -16*l + 255. Let n be v(16). Let m(g) = -14*g - 12. Let w be m(n). Factor 0 + 2/9*c**3 + 8/9*c + 10/9*c**w.
2*c*(c + 1)*(c + 4)/9
Let r(o) be the third derivative of -3*o**7/490 - 499*o**6/280 + 421*o**5/70 + 6*o**4 + 830*o**2. Let r(h) = 0. Calculate h.
-168, -1/3, 0, 2
Let -8*l**4 - 4*l**4 - 7966*l - 78*l**2 - 192*l**3 + 97 + 65 + 543*l**2 + 8569*l = 0. What is l?
-18, -1/2, 3
Let q(m) be the third derivative of m**5/240 + 5*m**4/24 - 7*m**3/8 + 1860*m**2. Factor q(l).
(l - 1)*(l + 21)/4
Let x be ((24/54)/(-2))/((-36)/513) - 3. Let t(s) be the first derivative of 0*s - x*s**4 - 17 - 2/3*s**2 + 2/3*s**3. Factor t(o).
-2*o*(o - 2)*(o - 1)/3
Let y(l) be the first derivative of -21*l**5/20 - l**4 + 3*l**3/2 + 129*l - 38. Let z(n) be the first derivative of y(n). Factor z(v).
-3*v*(v + 1)*(7*v - 3)
Let h(f) = -8*f + 53. Let r be h(6). Suppose -23 = -5*o - 3. Determine m, given that 0*m**r - 125*m**2 - 2*m**5 + 133*m**2 - 8*m**o + 2*m**4 = 0.
-2, 0, 1
Let x = -1272 + 1276. Suppose -x*h - 2*k = 2, 5 = 3*h - 0*k - 5*k. Solve -5*v**3 - 25/3*v**2 + h + 25/3*v**4 + 5*v = 0 for v.
-1, 0, 3/5, 1
Let o(c) be the second derivative of -c**6/720 - c**5/72 - c**4/72 + 2*c**3/9 + 25*c**2/2 + 18*c + 1. Let h(m) be the first derivative of o(m). Factor h(p).
-(p - 1)*(p + 2)*(p + 4)/6
Let b(f) = 3 + 0*f**3 + f**3 - f**3 - 7 - f**3. Let a(g) = -5*g**3 - g**2 + g - 12. Let t(n) = -2*a(n) + 6*b(n). Factor t(m).
2*m*(m + 1)*(2*m - 1)
Let p(b) = 5*b**2 - 2455*b + 2465. Let k(l) = 7*l**2 - 2452*l + 2463. Let s(f) = -5*k(f) + 6*p(f). Suppose s(v) = 0. Calculate v.
-495, 1
Let u = -390 - -400. Factor -u*j**2 + 12*j**2 - 4*j**3 + 315*j**4 - 313*j**4.
2*j**2*(j - 1)**2
Let -2/3*s**2 + 96 + 12*s = 0. Calculate s.
-6, 24
Let u(i) = i**2 + 24*i - 17. Let a be u(4). Let k be (-2 + 0)/(a/(-38)). Solve 4 + k*m**2 + 2/5*m**3 - 26/5*m = 0.
-5, 1, 2
Let w(f) be the third derivative of -f**7/945 - f**6/9 + f**5/90 + 89*f**4/54 - 40*f**3/9 - 229*f**2 + f. Find g, given that w(g) = 0.
-60, -2, 1
Let p(w) be the third derivative of w**6/1140 + 151*w**5/190 - 8*w**4 + 1828*w**3/57 - 732*w**2 + 3*w + 2. Solve p(b) = 0 for b.
-457, 2
Find x such that 2/11*x**4 - 54/11*x**3 - 168/11 + 26*x - 6*x**2 = 0.
-3, 1, 28
Suppose 2*z = 2 - 10, -5*y + 7 = 2*z. Let 8 + 46*w**y + 250*w**3 + 14*w**5 - 36 + 44*w**4 + 49*w**4 + 212*w**2 + 43*w**4 + 10*w = 0. Calculate w.
-7, -1, 2/7
Let o(b) be the first derivative of -5*b**6/6 - 171*b**5 - 32535*b**4/4 + 113445*b**3 - 534600*b**2 + 1093500*b + 1342. Factor o(c).
-5*(c - 3)**3*(c + 90)**2
Suppose 5*r + 320 = 3*y - 73, -4*r - 264 = -2*y. Suppose -10*s = -52*s + y. Factor -56/3*u**s - 10/3*u**5 + 0*u + 0 + 44/3*u**4 + 16/3*u**2.
-2*u**2*(u - 2)**2*(5*u - 2)/3
Let s(r) be the first derivative of -r**4/90 - 43*r**3/45 - 14*r**2/5 - 172*r - 126. Let p(q) be the first derivative of s(q). Find a such that p(a) = 0.
-42, -1
Let h(a) be the third derivative of a**5/75 - 2*a**4/15 - 334*a**2. Factor h(n).
4*n*(n - 4)/5
Let i = -9 - 0. Let u be (-16 - i) + (8 - 1). Suppose -1/3*g**4 - g**3 - 2/3*g + 1/3*g**5 + u + 5/3*g**2 = 0. What is g?
-2, 0, 1
Suppose 10 + 115 = 25*m - 0*m. Let q(s) be the first derivative of 1/27*s**6 - 5 + 0*s**3 + 0*s**m + 0*s - 2/9*s**4 + 0*s**2. Suppose q(z) = 0. Calculate z.
-2, 0, 2
Find l such that 164*l**2 - 83*l**2 + 13*l**4 + 14*l**4 - 78*l**2 - 18*l**3 = 0.
0, 1/3
Let l(s) = -s + 31. Let a be l(12). Let z = -15 + a. Factor 711*u**5 - 8*u - 20*u**z + 4*u**3 - 707*u**5 + 8*u**4 + 12*u**2.
4*u*(u - 2)*(u - 1)**2*(u + 1)
Suppose -536*l + 631 = 474*l - 1389. Let -1/4*p**l - 1/4 - 1/2*p = 0. Calculate p.
-1
Let d(u) be the third derivative of -u**8/84 + 4*u**7/35 - 4*u**6/15 - 2*u**5/15 + 3*u**4/2 - 8*u**3/3 + 1443*u**2 - u. Suppose d(j) = 0. What is j?
-1, 1, 4
Let n(c) be the second derivative of c**5/50 + 463*c**4/120 + 667*c**3/3 - 841*c**2/5 - 448*c. Determine x so that n(x) = 0.
-58, 1/4
Let l(d) be the second derivative of 0*d**4 - 1/210*d**7 - 7/100*d**5 + 25 + 0*d**3 + 3*d + 4/75*d**6 + 0*d**2. Solve l(z) = 0.
0, 1, 7
Let a(t) be the first derivative of t**3/12 - 121*t**2 + 58564*t + 980. Factor a(v).
(v - 484)**2/4
Let q be (10/(-30))/(-4*4/(-48)). Let h be (-1 - q)/(-9 + 13 - 1). Determine v, given that -8/3*v + 2*v**3 + h + 8/3*v**2 = 0.
-2, 0, 2/3
Let f(s) be the first derivative of 15*s**4/2 + 214*s**3/3 + 194*s**2 + 48*s + 2876. Factor f(t).
2*(t + 3)*(t + 4)*(15*t + 2)
Suppose 268 = 24*b - 68. Determine j so that -6*j**2 - 6*j**5 + 2*j**2 - 3*j**5 + 3*j**5 - 16*j**4 - b*j**3 = 0.
-1, -2/3, 0
Let r be 29 - (-2272)/(-720)*9. Solve 3/5*h**5 - 3/5*h**3 + 0 + 3/5*h**4 - r*h**2 + 0*h = 0 for h.
-1, 0, 1
Let f(a) = -3*a**2 - 74*a + 293. Let o(m) = -10*m**2 - 223*m + 871. Let z(b) = -39*f(b) + 12*o(b). Factor z(y).
-3*(y - 65)*(y - 5)
Let w be (-3396)/(-22074)*(-13)/(-12). Factor -1/2 + 1/3*r + w*r**2.
(r - 1)*(r + 3)/6
Suppose 3 = 2*x - 3*c, 4*x + 98*c - 95*c = -3. Find v such that 10/11*v**2 + 24/11*v**3 + x - 4/11*v = 0.
-2/3, 0, 1/4
Let u(k) be the third derivative of 1/105*k**5 - 19/42*k**4 + 0 - 24*k**2 + k - 40/21*k**3. Factor u(x).
4*(x - 20)*(x + 1)/7
Let q be (-66)/24*248/(-2728). Suppose 3*d - 19 = -2*l - 6, -5 = -5*d. Factor -q*x**l + 0*x**2 + 0*x**4 + 1/4*x**3 + 0*x + 0.
-x**3*(x - 1)*(x + 1)/4
Let y = -796066/7 + 113724. What is m in 26/7*m**3 + 0 + 16/7*m**4 + y*m**5 + 0*m + 12/7*m**2 = 0?
-6, -1, 0
Let b(m) be the first derivative of -m**5/20 - 15*m**4/16 - 37*m**3/6 - 33*m**2/2 - 18*m + 2448. Find a such that b(a) = 0.
-6, -2, -1
Let u(b) be the first derivative of -9*b**5 + 65*b**4/2 + 65*b**3 + 10*b**2 + 8054. Factor u(a).
-5*a*(a - 4)*(a + 1)*(9*a + 1)
Let x be (1 + 7/21)*42. Let r be 8 - -4*(-110)/x. Let -1/7*i**4 + i**2 - r*i + 1/7*i**3 - 6/7 = 0. Calculate i.
-2, -1, 1, 3
Let f = -23045 + 115226/5. Let -3/5*r**5 + 0*r - f*r**4 + 0*r**2 + 0 + 2/5*r**3 = 0. What is r?
-1, 0, 2/3
Let p(i) = 3*i + 67. Let z be p(-20). Let o(k) = -16*k**2 + 288*k - 2304. Let q(g) = -11*g**2 + 192*g - 1536. Let v(r) = z*q(r) - 5*o(r). Factor v(m).
3*(m - 16)**2
Let u = -32403/4 + 8121. Factor 3/4*w**2 + 39/2 + u*w.
3*(w + 1)*(w + 26)/4
Let l(z) be the first derivative of -2*z + 1/3*z**2 + 1/6*z**3 + 1/36*z**4 - 24. Let x(o) be the first derivative of l(o). Factor x(q).
(q + 1)*(q + 2)/3
Let p(o) be the second derivative of o**4/54 - 86*o**3/9 + 257*o**2/9 - 1086*o. Factor p(u).
2*(u - 257)*(u - 1)/9
Let c be (-36)/360 - (-5432)/16150. Let j = -1/950 + c. Factor 2/17*l**2 + j*l - 6/17.
2*(l - 1)*(l + 3)/17
Suppose 0 = -5*m - 171*s + 176*s - 35, -38 = -m - 4*s. Factor -13/2*x**m + 20/3*x - 2 + 3/2*x**3.
(x - 3)*(3*x - 2)**2/6
Let f(m) = -142*m + 142. Let s(j) = -j**2 - j + 2. Let w(z) = 5*f(z) + 5*s(z). Suppose w(v) = 0. Calculate v.
-144, 1
Let n be (-2)/9 + (1 - 76/(-18)). Determine o, given that -n*o**3 - 126*o**4 + 124*o**4 - 8*o**2 + 13*o**3 = 0.
0, 2
Let g = 728393 + -728391. Solve 128*v + 2/15*v**3 - 42/5*v**g + 2048/15 = 0 for v.
-1, 32
Let a(z) be the second derivative of 2*z**6/15 - 916*z**5 + 1746506*z**4 + 20985560*z**3/3 + 10497362*z**2 + 6062*z. Factor a(o).
4*(o - 2291)**2*(o + 1)**2
Find p such that 3/4*p**2 - 117/4*p + 111/2 = 0.
2, 37
Let i(c) = -6*c**2 - 783*c - 777. Let g be i(-1). Suppose 64/5*j - 2/5*j**2 + g = 0. What is j?
0, 32
Let m = -461492/7 - -65928. Factor 1/7*t**4 + 1/7*t**3 - m*t**2 + 0 - 4/7*t.
t*(t - 2)*(t + 1)*(t + 2)/7
Let w(n) be the second derivative of n**7/3780 - n**6/36 + 5*n**5/4 - 7*n**4 - n - 13. Let g(z) be the third derivative of w(z). What is r in g(r) = 0?
15
Let z be ((-5)/(-2)*1)/((-10)/100). Let k = -15 - z. Solve -7*i - 18*i**2 - 8*i - 2*i**2 + k*i**4 + i**3 + 4*i**3 = 0 for i.
-1, 0, 3/2
Find u such that 64*u**3 + 79*u**3 + 222*u + 23*u**3 - 280*u**2 - 161*u**2 + 50*u**3 + 3*u**4 = 0.
-74, 0, 1
Let z(q) be the third derivative of 1/720*q**6 + 226*q**2 - 1/16*q**4 + 0*q**3 + 0*q + 0*q**5 + 0. Find f, given that z(f) = 0.
-3, 0, 3
Let y(d) = -d**4 - d**3 - d**2 - 7*d. Let t(s) = -6*s**4 + 30*s**3 + 500*s**2 - 12988*s + 65664. Let z(a) = -t(a) + 4*y(a). Factor z(