v**2 + 6/23*v**r - 2/23*v**5 + 72/23 - 48/23*v = 0. Calculate v.
-2, 1, 3
Solve -84 - 231/5*d**3 + 417/5*d**2 + 3/5*d**5 + 3/5*d**4 + 228/5*d = 0.
-10, -1, 1, 2, 7
Let x be -4 + (-3066)/(-36)*(-32)/35. Let m = x + 82. Factor 4/15 + 0*h**2 - 2/5*h + m*h**3.
2*(h - 1)**2*(h + 2)/15
Factor 273*n - 20*n - 83*n**2 - 13*n**2 + 24*n**2 - 672 + 4*n**3 + 151*n.
4*(n - 8)*(n - 7)*(n - 3)
Let 5465*q**5 - 42*q**2 + 52*q**4 - 25*q**4 - 5471*q**5 + 15 + 24*q**3 - 18*q = 0. What is q?
-1, 1/2, 1, 5
Suppose 0 = -36*h + 62*h - 52. Find f such that h*f**4 + 2058 - 82*f - 206*f + 3*f**3 - 1280*f - 51*f**3 + 420*f**2 = 0.
3, 7
Suppose 3*c - 1 - 2 = 3*t, 11 = -3*t + 5*c. Let s = 1553 - 1551. Factor -24*a**3 + 4 - 36*a**t - 4*a - 36*a**4 - 4 - 28*a**s.
-4*a*(a + 1)*(3*a + 1)**2
Let h(c) be the second derivative of -c**7/28 + 3*c**6/10 + 51*c**5/40 - 3*c**4/4 - 4*c**3 - 28*c - 18. Suppose h(l) = 0. What is l?
-2, -1, 0, 1, 8
Let q(l) be the third derivative of 1/1365*l**7 + 1/78*l**4 + 0 - 1/130*l**5 + 0*l**3 + 0*l + 77*l**2 + 0*l**6. Factor q(s).
2*s*(s - 1)**2*(s + 2)/13
Let z(b) be the first derivative of -4/7*b**4 + 0*b**5 - 8/7*b + 6/7*b**2 - 82 + 2/21*b**6 + 8/21*b**3. Solve z(r) = 0.
-2, -1, 1
Let z(n) be the first derivative of 13*n**5/35 - 11*n**4/21 - 8*n**3/3 - 8*n**2/7 + n + 75. Let x(q) be the first derivative of z(q). Factor x(f).
4*(f - 2)*(f + 1)*(13*f + 2)/7
Solve -2880/17 - 2/17*d**3 + 192/17*d + 28/17*d**2 = 0 for d.
-10, 12
Factor 0*s**4 - 276*s**2 + 3*s**4 - 24159*s**3 + 24144*s**3 + 288*s.
3*s*(s - 12)*(s - 1)*(s + 8)
Let g(v) = -9*v**3 - 271*v**2 - 600*v + 519. Let c(i) = 92*i**3 + 2711*i**2 + 5999*i - 5189. Let f(d) = -12*c(d) - 124*g(d). Let f(z) = 0. What is z?
-87, -3, 2/3
Let z(a) be the third derivative of -a**7/56 - 31*a**6/960 + 3*a**5/80 - 10*a**4/3 - 136*a**2. Let c(s) be the second derivative of z(s). Factor c(o).
-3*(3*o + 2)*(20*o - 3)/4
Let z = -52336 + 52338. Find h, given that 8/3*h - 1/3*h**z + 0 = 0.
0, 8
Factor 33/5*h + 14 - 1/5*h**2.
-(h - 35)*(h + 2)/5
Let f(k) be the second derivative of k**6/135 - 434*k**5/45 + 31966*k**4/9 - 1492960*k**3/27 + 2958400*k**2/9 - 3*k + 893. Suppose f(h) = 0. What is h?
4, 430
Let m be (30/5)/((-6)/(-4)). Factor n**3 + n**5 + 2583 - 2583 + 4*n**m - 6*n**2.
n**2*(n - 1)*(n + 2)*(n + 3)
Let u(g) = 124*g**3 + 3172*g**2 + 84736*g - 87808. Let h(s) = 35*s**3 + 906*s**2 + 24210*s - 25088. Let r(d) = 32*h(d) - 9*u(d). Let r(v) = 0. What is v?
-56, 1
Factor -21/2*f - 45/2 - 3/2*f**3 + 21/2*f**2.
-3*(f - 5)*(f - 3)*(f + 1)/2
Let s = 6/115 + -593/345. Let r = -1 - s. Factor 2*t**3 + 2/3*t - 2*t**2 - r*t**4 + 0.
-2*t*(t - 1)**3/3
Suppose 0 = -11*f - w + 36, 5*f - 37*w + 33*w = 3. Factor 16/7*q**4 - 4/7*q**5 - 24/7*q**f - 4/7*q + 0 + 16/7*q**2.
-4*q*(q - 1)**4/7
Let r be (0 - (-9)/6)*2522/(-13). Let j = r + 291. Let 0*u - 2/15*u**3 + j*u**2 + 0 = 0. Calculate u.
0
Let f(a) be the third derivative of -27*a**8/56 - 24*a**7/7 - 67*a**6/60 + 172*a**5/15 + 37*a**4/3 + 16*a**3/3 + 77*a**2 + 5. Determine v so that f(v) = 0.
-4, -1, -2/9, 1
Let x = 45085/39431 - 3/5633. Let -x - 12/7*v**2 - 18/7*v - 2/7*v**3 = 0. What is v?
-4, -1
Let w(m) be the second derivative of -5/14*m**5 + 1/2*m**3 - 1/98*m**7 + 31*m - 1/3*m**4 - 11/105*m**6 - 3 + 9/7*m**2. Solve w(o) = 0 for o.
-3, -1, 2/3
Suppose 3*i - 4*q = -3 - 67, -14 = i + q. Let n = i + 22. Let 6*r**2 + n*r**2 - 3*r**3 - r**2 + 3 - 9*r = 0. What is r?
1
Suppose 64 = -3*r + 16, 91 - 11 = -4*j - 5*r. Factor -6/7 + j*z + 6/7*z**2.
6*(z - 1)*(z + 1)/7
Let a(i) be the first derivative of 3*i**5 + i**6 - 5*i**3 + 9/2*i**2 + 0*i + 167 - 15/4*i**4. Let a(n) = 0. What is n?
-3, -1, 0, 1/2, 1
Suppose -a + 8*a = 14. Let s be (264/42 + -2)/(a/14). Factor -29*l - 24*l**2 + 26 + l - s.
-4*(l + 1)*(6*l + 1)
Let m be 17 + (5 - (99 - 81)). Find l, given that 96/11*l - 2/11*l**m - 24/11*l**3 + 288/11 - 64/11*l**2 = 0.
-6, -2, 2
Suppose -3*g = -3*y + g + 26, -y + 8 = -2*g. Let u(o) = 2*o**3 + 35*o**2 - 109*o - 174. Let c be u(-20). Factor -13*m**3 - 12*m + y*m**3 + c*m**3 + 3*m**2 - 12.
3*(m - 2)*(m + 1)*(m + 2)
Suppose -2*q = 13*f - 234, -2*q = -f + 64 - 74. Find k such that -44/3*k**2 - f - 92/3*k = 0.
-12/11, -1
Let z(h) be the second derivative of -9/14*h**2 + 1/14*h**3 - 3/140*h**5 + 98*h + 2 + 3/28*h**4. Factor z(c).
-3*(c - 3)*(c - 1)*(c + 1)/7
Let k(f) = 342*f + 688. Let h be k(-2). Let o(v) be the first derivative of 1/30*v**6 + 2/15*v**3 - 1/25*v**5 - 9 - 1/10*v**h - 1/5*v + 1/10*v**2. Factor o(j).
(j - 1)**3*(j + 1)**2/5
Let a = -517 + 515. Let k be 0/((a - 0)*1). Determine j so that -5/2*j + j**2 - 1/10*j**3 + k = 0.
0, 5
Let o = -10373/19 + 546. Let q(h) be the first derivative of -1 + 0*h - o*h**2 - 1/38*h**4 - 4/57*h**3. Let q(j) = 0. Calculate j.
-1, 0
Let n be (3 - 2)/((-5)/10). Let z be n - 0 - (35 - 39). Factor 0 - 2*l - 2/3*l**z.
-2*l*(l + 3)/3
Suppose -3*i - 3 = 0, 4*i + 27 = 5*r + 3. Let a be 2/(-5) + (r - 24/15). Let -3*l**a + 9*l - 19*l + 16*l - 3 = 0. What is l?
1
Let t(l) = -26*l**2 - 2*l. Let s(g) = g**3 + 336*g**2 + 13464*g. Let h(c) = s(c) + 4*t(c). Factor h(p).
p*(p + 116)**2
Suppose -42/11*k**2 + 0 - 2*k - 18/11*k**3 + 2/11*k**4 = 0. Calculate k.
-1, 0, 11
Let z = -48574 - -242874/5. Factor 4*h - z*h**2 - 16/5.
-4*(h - 4)*(h - 1)/5
Factor 202*p**2 - 50*p**2 - 556516 - 51*p**2 - 53*p**2 - 2984*p - 52*p**2.
-4*(p + 373)**2
Determine n, given that 2/19*n**3 + 1568/19 - 588/19*n - 102/19*n**2 = 0.
-7, 2, 56
Suppose 4*g = -21*g + 375. Let b be 10/g*-9 - -6. Factor b + 0*k**2 + 1/3*k**4 + 0*k - 1/3*k**3.
k**3*(k - 1)/3
Determine i, given that -375*i**3 + 0*i**4 - 3*i**4 - 270*i**3 - 1106*i**2 - 175*i**2 - 639*i = 0.
-213, -1, 0
Let n = -18 - -21. Suppose -n = -3*u + 3. Factor v**u - 163 + 79 + 80.
(v - 2)*(v + 2)
Let i be 12/(-3) - (16 + -4799). Factor -2481*q - 5*q**3 - i*q - 18357 - 330*q**2 - 24973 - 9910.
-5*(q + 22)**3
Let p(s) be the second derivative of -s**4/30 + 17*s**3/3 - 616*s**2/5 + 556*s + 3. Let p(f) = 0. Calculate f.
8, 77
Suppose -3221*n + 247*n**4 - 8*n**5 - 11*n**4 + 3017*n - 772*n**3 - 58*n**4 + 998*n**2 = 0. Calculate n.
0, 1/4, 2, 3, 17
Let a(d) be the second derivative of -d**6/180 + 479*d**5/120 + 961*d**4/72 + 481*d**3/36 - 2401*d + 2. Let a(k) = 0. Calculate k.
-1, 0, 481
Let f be (-914)/(-42) - (-2)/(-6). Let b = 37/836 - -49901/5852. Solve -6/7*d**2 - f + b*d = 0 for d.
5
Let j be (2/(-33)*3)/(35/370300*-10). Factor -1/11*x**2 - j - 92/11*x.
-(x + 46)**2/11
Factor -473/2 - 70/3*l - 1/6*l**2.
-(l + 11)*(l + 129)/6
Let j = -8892 + 62256/7. Factor 1/7*f**3 + j*f + f**2 + 0.
f*(f + 3)*(f + 4)/7
Let p be 135/(-108)*((-176)/20 + 8). Let p + 1/2*k - 1/2*k**2 = 0. Calculate k.
-1, 2
Let c = 28 + -32. Let y be c/((-2 + -1)/3). Let -2*a**3 + a**4 + 2*a**y + 2*a**3 - 3*a**2 = 0. Calculate a.
-1, 0, 1
Let h be (-1805)/(-4332)*(-9)/(-5). Determine o, given that -9/4*o**3 - h*o + 0 + 15/4*o**2 + 3*o**5 - 15/4*o**4 = 0.
-1, 0, 1/4, 1
Let j(z) be the first derivative of 51*z**3/2 + 29*z**2 - 30*z - 2353. Suppose j(o) = 0. Calculate o.
-10/9, 6/17
Let c(y) be the first derivative of 3*y**5/20 - 99*y**4/8 + 189*y**3/4 + 3*y**2/2 - 189*y + 2449. Suppose c(m) = 0. Calculate m.
-1, 2, 63
Let i = -80 - -102. Suppose -5*a - 2 = -i. Factor 3*z**5 - 9*z**3 + 20*z + 4 + 39*z**2 + 64*z**a + 62*z**4 - 109*z**4 + 46*z**3.
(z + 1)**3*(z + 2)*(3*z + 2)
Let w(p) = p - 1. Let l = 322 + -317. Let s(q) = q**2 + 22*q + 23. Let y(n) = l*s(n) + 5*w(n). Determine a so that y(a) = 0.
-22, -1
Let u be (2/12)/((-5)/(-9)) + 12210/(-100100)*-77. Factor -124/13*l + 2/13*l**2 - u.
2*(l - 63)*(l + 1)/13
Let c(l) = -25*l + 175. Let f be c(3). Solve -523*m**3 - 640*m - 60*m**4 + 38*m**3 + 356*m**2 + 729*m**2 + f = 0.
-10, 1/4, 2/3, 1
Let g = 19521 + -19514. Let q(n) be the second derivative of 2/21*n**g + 2/5*n**6 - 4/3*n**3 + 0*n**2 - n**4 + 30*n + 1/5*n**5 + 0. Let q(m) = 0. What is m?
-2, -1, 0, 1
Suppose -81*z + 77*z = -5*p + 9, 3*p + 1 = -4*z. Let r(d) = d**2 + d + 4. Let o(w) = -3*w**2 + 9*w + 14. Let v(b) = z*o(b) - 4*r(b). Factor v(x).
-(x + 3)*(x + 10)
Let -12*v**2 - 449*v - 2*v**2 + 23*v**2 - 2*v**2 - 902 - 6*v**2 = 0. What is v?
-2, 451
Factor -5811*y**2 - 5*y**4 + 3433*y**2 + 2838*y**2 - 220*y**3.
-5*y**2*(y - 2)*(y + 46)
Suppose -32 = -10*z + 2*z. Factor 40*n**