 = -2*v, -12*g = -i*g + 4*v - 56. Determine y, given that 8*y**3 - 8*y - 32/3*y**2 - 4/3*y**4 + g = 0.
-1, 1, 3
Let a be (-4214)/86 - (-3906)/78. Determine h so that 2/13*h**3 - 42/13*h**4 + 54/13*h**2 + a*h - 12/13 - 16/13*h**5 = 0.
-2, -1, 3/8, 1
Let -34/3*w**4 - 192*w**2 + 1/3*w**5 - 765*w + 334/3*w**3 - 450 = 0. What is w?
-1, 6, 15
Suppose 18*g = 7*g + 726. Suppose -g*z + 170 = -49*z. Solve -14*n + z - 3/2*n**2 = 0.
-10, 2/3
Suppose -5*t + 2*x - 619 = 0, -4*t = 3*x + 2*x + 515. Let v = 129 + t. Factor -1/3*d**5 + 0*d**2 - 1/3*d**3 + 0 + 2/3*d**v + 0*d.
-d**3*(d - 1)**2/3
Let u(x) be the third derivative of x**5/80 + 73*x**4/64 + 71*x**3/16 - 644*x**2. Find b, given that u(b) = 0.
-71/2, -1
Let m(h) be the second derivative of -2*h**6/3 + 81*h**5/4 - 505*h**4/3 + 80*h**3 + 17*h + 6. Let m(w) = 0. Calculate w.
0, 1/4, 8, 12
Let q = 52/343 + -55359/362894. Let l = q - -531/2116. Find w, given that 0*w**2 + 1/8*w**4 + 0*w + 0 - 1/8*w**5 + l*w**3 = 0.
-1, 0, 2
Let a = -2344 - -2209. Let o be 8/18 + (-1236)/a. Factor 3/5*f**3 - 21/5*f**2 + o*f - 36/5.
3*(f - 3)*(f - 2)**2/5
Let t(p) = 42*p**2 + 21*p - 3. Let i(y) = 43*y**2 + 22*y - 2. Let a be (1 - 2)/(-3)*21. Suppose -a - 11 = -3*r. Let u(f) = r*t(f) - 7*i(f). Factor u(o).
-(7*o + 2)**2
Let x = 316478/71487 + 138/7943. Factor -64/9*c + x*c**3 - 8/9*c**2 + 14/9*c**4 + 0.
2*c*(c + 2)**2*(7*c - 8)/9
Factor 1223 + 34*y + 4*y**2 + 12 - 552*y - 30*y - 155.
4*(y - 135)*(y - 2)
Let u(l) be the third derivative of l**5/360 + 103*l**4/8 + 95481*l**3/4 + 742*l**2. Factor u(z).
(z + 927)**2/6
Suppose 0*q = -u - 3*q + 57, 0 = 4*u + 5*q - 221. Let g = 79 - u. Factor 25*p - 2 + 4 + 6*p**2 + 4*p**2 - g*p**3 - 12.
-5*(p - 1)*(p + 1)*(5*p - 2)
Let a(m) = 2*m**2 - 26*m + 75. Let h be a(9). Factor h - 3*t**2 - 25*t + 6 - 2 - 15.
-(t + 8)*(3*t + 1)
Let h = 742 + -737. Let q(n) be the second derivative of -2/5*n**h + 0*n**2 + 0*n**3 + 1/3*n**4 + 1/6*n**6 + 21*n - 1/42*n**7 + 0. Factor q(i).
-i**2*(i - 2)**2*(i - 1)
Let s(i) = -3*i - 2. Let c be s(-2). Suppose -69*x + 75*x - 12 = 0. Factor -x + 7*o + 6*o**4 - 19*o - c*o**2 + 2*o**5 + 4*o**3 + 6*o.
2*(o - 1)*(o + 1)**4
Let l(t) be the first derivative of t**4/18 - 148*t**3/27 - 104*t**2/3 - 247. Let l(o) = 0. What is o?
-4, 0, 78
Let x(u) be the second derivative of -1/6*u**4 + 6*u**3 + 0 + 56*u - 17*u**2. Let x(v) = 0. What is v?
1, 17
Let x = -20803/7 + 2989. Let 76/7*s**3 - 72/7 + x*s + 6/7*s**4 + 262/7*s**2 = 0. What is s?
-6, -1, 1/3
Let f(s) be the third derivative of 1/60*s**5 - 3*s**3 + 5*s + 8*s**2 + 0 - 1/8*s**4. Factor f(l).
(l - 6)*(l + 3)
Let i(d) be the second derivative of 1/30*d**6 + 1/4*d**4 + 3/2*d**3 - 14 + d + 0*d**2 - 1/4*d**5. Factor i(a).
a*(a - 3)**2*(a + 1)
Let o = 127049/3 - 42347. Determine t, given that -2/3*t - o*t**2 + 4/3 - 2/3*t**5 + 4/3*t**4 + 4/3*t**3 = 0.
-1, 1, 2
Let w(n) be the second derivative of -n**6/15 + 11*n**5/10 + 15*n**4 + 196*n**3/3 + 136*n**2 + 1133*n + 1. Determine x, given that w(x) = 0.
-2, 17
Suppose 38/11*n - 12/11*n**2 + 48/11 - 2/11*n**3 = 0. What is n?
-8, -1, 3
Suppose -2*a = 12 - 16. Let w = -9 - -14. Let -w*l**2 + 11*l - 14*l + 6*l**a = 0. What is l?
0, 3
Factor -12*p**2 - 45/4*p - 3/4*p**3 + 0.
-3*p*(p + 1)*(p + 15)/4
Suppose 1255*t - 4*t**2 - 173*t + 326 + 686 - 74*t = 0. What is t?
-1, 253
Let x be -143 + 101 + (-1903)/(-44). Find t, given that -5/4*t - 5*t**2 + x*t**3 + 5 = 0.
-1, 1, 4
Suppose -10*u + 1640 = -930. Let f = 257 - u. Factor f*p**2 - 1/2*p + 1/2*p**3 + 0.
p*(p - 1)*(p + 1)/2
Let d(s) be the third derivative of -s**5/60 - 37*s**4/24 - 55*s**3 + 441*s**2 + 4*s. Suppose d(u) = 0. Calculate u.
-22, -15
Let z be (-4 - -5)/(3 + 1/(-2)). Suppose 22*n - 37 = 4*n + 35. Solve -3/5*d**n + 0 + d**2 + z*d - 4/5*d**3 = 0.
-2, -1/3, 0, 1
Let y = -317210 - -317214. Let b = 1069/1649 - -17/97. Determine c so that 2/17*c + 0 - 6/17*c**y - 10/17*c**2 + b*c**3 = 0.
0, 1/3, 1
Suppose 3*o = 89 + 220. Factor 113*m**2 - 2 + 6*m**3 - 8*m + 2 - o*m**2 - 8.
2*(m - 1)*(m + 2)*(3*m + 2)
Let l(n) be the third derivative of -n**9/7056 - n**8/1960 - n**7/1960 - 179*n**3/6 - 271*n**2. Let q(b) be the first derivative of l(b). What is k in q(k) = 0?
-1, 0
Let k(l) be the third derivative of -l**9/26460 - l**8/4704 - l**7/4410 - 69*l**4/8 + 92*l**2. Let a(u) be the second derivative of k(u). Factor a(t).
-2*t**2*(t + 2)*(2*t + 1)/7
Let s be (-335 - -340) + 68/(-14). Find p, given that 10/7*p**3 + 11/7*p**2 + 0 + s*p = 0.
-1, -1/10, 0
Let s be ((-2 - -6) + (-2560)/672)*35. Solve 16/9*a**3 - s*a**2 + 16/3*a + 16/9 = 0.
-1/4, 2
Find z, given that -7*z**3 - 49/2*z**2 + 0 - 17*z + 1/2*z**4 = 0.
-2, -1, 0, 17
Let y(o) be the second derivative of 8*o**4/27 - 67*o**3/27 + 4*o**2/3 + 6*o - 5. Let y(f) = 0. Calculate f.
3/16, 4
Suppose 5*j = 5*d - 1700, -5*d + 542 = -4*j - 817. Let v = -338 - j. Let 2/9*r**5 + 0*r**4 - 2/3*r**v - 4/9*r**2 + 0*r + 0 = 0. What is r?
-1, 0, 2
Let p(m) be the first derivative of -3/10*m**4 + 0*m - 112 + 4/3*m**3 - 2/25*m**5 + 0*m**2. Factor p(x).
-2*x**2*(x - 2)*(x + 5)/5
Let r(c) be the second derivative of -2*c**7/63 - 22*c**6/45 - 39*c**5/20 + 13*c**4/2 + 153*c**3/2 + 243*c**2 - 1234*c + 1. Find h, given that r(h) = 0.
-9/2, -3, -2, 3
Let r(q) be the second derivative of -q**9/1008 + q**8/560 + q**7/280 - q**6/120 - 19*q**3/2 + 34*q - 1. Let k(p) be the second derivative of r(p). Factor k(g).
-3*g**2*(g - 1)**2*(g + 1)
Let g(l) be the third derivative of l**6/540 - 8*l**5/135 + 55*l**4/108 - 2*l**2 + 205*l. Solve g(v) = 0.
0, 5, 11
Let h = -24 - -29. Let c(q) = -q**2 + 61*q - 70. Let u(p) = 2*p**2 - 62*p + 72. Let d(a) = h*u(a) + 6*c(a). Find v such that d(v) = 0.
-15, 1
Let l(w) be the second derivative of -1/15*w**5 - 1/9*w**4 + 10/9*w**3 - 5 + 8*w - 2*w**2. Let l(s) = 0. Calculate s.
-3, 1
Suppose 0 = 20*p + 12 - 112. Let w(b) be the third derivative of -2/39*b**3 + 1/780*b**6 + 20*b**2 + 0*b + 5/156*b**4 - 2/195*b**p + 0. Solve w(h) = 0 for h.
1, 2
Factor 7267/2 + 17/2*k**2 + 949/2*k - 1/2*k**3.
-(k - 43)*(k + 13)**2/2
Let m(p) be the second derivative of 5*p**4/12 - 3085*p**3/6 + 1540*p**2 + 766*p. Let m(b) = 0. What is b?
1, 616
Let c = -57 + 114. Let t = c + -54. Determine r so that r + 4*r**3 - 9*r - 2*r**3 + 0*r**t = 0.
-2, 0, 2
Let l(g) be the third derivative of -g**5/100 - 21*g**4/10 - 882*g**3/5 - 30*g**2 + 17. Let l(t) = 0. Calculate t.
-42
Let w(d) be the first derivative of d**6/6 + 12*d**5/5 - 15*d**4/4 - 26*d**3/3 - 1223. Factor w(l).
l**2*(l - 2)*(l + 1)*(l + 13)
Let o(x) be the first derivative of x**8/336 + x**7/70 + x**6/40 + x**5/60 - x**2 - 74. Let n(p) be the second derivative of o(p). Factor n(h).
h**2*(h + 1)**3
Let z(p) = 11*p**3 - 547*p**2 - 2890*p + 10. Let a(j) = -27*j**3 + 1368*j**2 + 7227*j - 24. Let c(m) = -5*a(m) - 12*z(m). Determine s so that c(s) = 0.
-5, 0, 97
Find k, given that 9*k**2 + 35*k - 242 - 8*k**2 + 206*k = 0.
-242, 1
Suppose 0 = -a - 3*t - 3, -5*t = 14*a - 17*a - 23. Let u be 2 - 9*(-1)/a. Determine d so that 9/4*d**2 + 1/4*d**4 - 5/4*d**3 - 7/4*d + u = 0.
1, 2
Let g(z) be the second derivative of -z**4/3 + 190*z**3/3 - 1232*z**2 - 10180*z. Factor g(t).
-4*(t - 88)*(t - 7)
Let m(r) be the first derivative of 7*r**3/9 - 4079*r**2/6 - 1166*r/3 + 1670. Factor m(d).
(d - 583)*(7*d + 2)/3
Let v be ((-148)/8)/((-4)/24). Suppose -96*s - 45 = -v*s. Determine a, given that 0 + 8/5*a + 0*a**2 + 2/5*a**4 - 6/5*a**s = 0.
-1, 0, 2
Suppose -40 = r - 115. Let k = -49 + r. Let -8*u**2 + 14*u**3 + 14*u**3 + 8 - k*u**3 - 2*u = 0. Calculate u.
-1, 1, 4
Let k(d) be the first derivative of -5*d**4/4 + 1085*d**3/3 - 60455*d**2/2 + 171735*d + 9097. Factor k(o).
-5*(o - 107)**2*(o - 3)
Let c be ((-14)/(24/(-15)*-5))/((-86)/12 - -6). Factor 45 + 21/2*m - c*m**2.
-3*(m - 10)*(m + 3)/2
Let k(z) be the first derivative of 17/12*z**4 - 2/3*z**2 - 28/9*z**3 + z**5 + 0*z + 3. Let k(j) = 0. What is j?
-2, -2/15, 0, 1
Let n(y) be the second derivative of 1/18*y**3 + 0*y**2 + 2/15*y**5 - 1 + 7/36*y**4 - 2*y - 8/45*y**6. Solve n(j) = 0 for j.
-1/4, 0, 1
Suppose -66*r + 63*r = 4*n + 2, 8 = -4*n. Let y(c) be the first derivative of -1/5*c**4 - 8/15*c**3 + 0*c - 2/5*c**r - 4. Factor y(f).
-4*f*(f + 1)**2/5
Factor 675*y**3 + 713*y**4 + 2870*y - 1206*y**2 + 111*y**3 - 488*y - 795 - 1170*y**