25/6*v + 5/6*v**5 + 5/3*v**2 + 5/3 - 10/3*v**4 = 0. Calculate v.
-1, 1, 2
Let p(y) = 2*y - 22*y + 11 + 76 + 17 + y**2. Let a be p(11). Factor 6/7*t**4 - 2/7*t**a - 2/7 + 6/7*t - 4/7*t**3 - 4/7*t**2.
-2*(t - 1)**4*(t + 1)/7
Let g(q) be the second derivative of -q**6/40 + 473*q**5/40 - 9515*q**4/6 + 10036*q**3 + 24336*q**2 - 457*q - 1. What is c in g(c) = 0?
-2/3, 4, 156
Let c(z) be the first derivative of -z**7/5040 - z**6/432 - z**5/120 + 9*z**3 - 13. Let d(l) be the third derivative of c(l). Find q such that d(q) = 0.
-3, -2, 0
Let p(c) = 10*c - 16. Let z(q) = -q**2 - 16*q + 2. Let g be z(-16). Let k be p(g). Solve 3*u**k - 2*u**2 - 2*u**5 - 1873*u - 1 - 2*u**3 + 1876*u + u**5 = 0.
-1, 1
Let w = 139 + 134. Suppose 243*b + 120 = w*b. Let 2/3*h**4 + 0 + b*h**3 + 0*h - 14/3*h**2 = 0. What is h?
-7, 0, 1
Let u(s) = -237*s + 242. Let w be u(1). Let h(j) be the third derivative of 0 + 5/48*j**4 + 0*j - 1/120*j**w + 24*j**2 - 1/2*j**3. Factor h(v).
-(v - 3)*(v - 2)/2
Let b = 6907/3 + -241841/105. Let z = 6/5 + b. Let -z*k**3 - 6/7*k + 6/7*k**2 + 2/7 = 0. Calculate k.
1
Let k = -16528 - -247922/15. Suppose -2/3*p**2 + 0*p + 4/5*p**3 - k*p**4 + 0 = 0. Calculate p.
0, 1, 5
Let s(t) be the first derivative of -4/3*t**2 + 2/9*t**3 + 8/3*t - 26. Let s(u) = 0. What is u?
2
Let d = -230 - -520. Factor 2*x**2 - 3701 + 9*x**2 + 3*x**2 - 504 - 19*x**2 + d*x.
-5*(x - 29)**2
Let h(g) be the second derivative of -49*g**7/3 - 2989*g**6/15 - 1008*g**5/5 - 226*g**4/3 - 32*g**3/3 + 161*g - 3. Determine p so that h(p) = 0.
-8, -2/7, -1/7, 0
Let q(y) be the third derivative of -y**6/30 + 7*y**5/5 + 3*y**4/2 - 126*y**3 - y**2 - 135. Factor q(l).
-4*(l - 21)*(l - 3)*(l + 3)
Find a, given that 2*a + 6*a**2 + 20*a - 6 + 37*a + 4*a**2 = 0.
-6, 1/10
Let c = -1430 - -1436. Let x(s) be the third derivative of 15*s**2 + 0*s**c - 1/168*s**8 + 2/105*s**7 - 1/15*s**5 + 0*s + 0*s**3 + 0 + 1/12*s**4. Factor x(n).
-2*n*(n - 1)**3*(n + 1)
Factor -118272*d**3 + 7304528/3*d + 0 + 18119024/3*d**2 - 5/3*d**5 + 2308/3*d**4.
-d*(d - 154)**3*(5*d + 2)/3
Let p(u) = -2*u**2 - 36*u + 40. Let k(r) = 1. Suppose 8 = 3*w + d, 2*d - 10 = -3*d. Let a(j) = w*p(j) - 4*k(j). What is v in a(v) = 0?
-19, 1
Let t = 4 - 2. Let j be ((-28)/189)/(-2)*(353 - 341). Let -28/9*l**3 + 7/9*l**5 + 0*l + 2/9*l**4 + 0 - j*l**t = 0. Calculate l.
-2, -2/7, 0, 2
Let c(i) be the first derivative of 10*i**3/21 - 428*i**2/7 - 344*i/7 + 942. Suppose c(x) = 0. Calculate x.
-2/5, 86
Let l = -34534/7 + 4938. Factor -4/7*x**2 - l + 24/7*x.
-4*(x - 4)*(x - 2)/7
Let q(l) be the first derivative of l**3/6 + 135*l**2/4 - 137*l - 1067. Factor q(a).
(a - 2)*(a + 137)/2
Suppose -5*p - 673 = 5*m - 638, 5*p + 35 = -4*m. Let y(v) = v**3 - v**2. Let w be y(0). Factor 1/10*g**4 + 1/10*g**5 + w*g**3 + m*g + 0*g**2 + 0.
g**4*(g + 1)/10
Let o be (1 + -5)*1640/(-3280). Factor 4/3*a**4 + 16/3*a**o - 2/3 + a + 5*a**3.
(a + 1)**2*(a + 2)*(4*a - 1)/3
Let n be 8/60*(276/24 + -7). Let k(o) be the first derivative of -6*o**3 - 6*o**4 - 2 - n*o**5 + 60*o**2 - 75*o. Factor k(c).
-3*(c - 1)**2*(c + 5)**2
Let z be (228/(-36) + 11)/((-21)/(-9)). Factor 0 + 0*j + 3*j**5 + 0*j**z - 30/7*j**3 + 99/7*j**4.
3*j**3*(j + 5)*(7*j - 2)/7
Let w be ((-168)/(-16))/(-7)*(0 + 6). Let a be (4/(-1))/(w/(12 + -3)). What is r in -5/6*r**a + 1/6*r**5 - 1/6 - 5/3*r**2 + 5/6*r + 5/3*r**3 = 0?
1
Let d(a) be the second derivative of -3/2*a**3 - a**2 + 0 - 1/10*a**6 - 5/4*a**4 - 11/20*a**5 - 77*a. Factor d(t).
-(t + 1)**3*(3*t + 2)
Let p(i) be the first derivative of -65*i**3/3 + 190*i**2 + 60*i - 3107. Factor p(t).
-5*(t - 6)*(13*t + 2)
Let q(m) be the first derivative of m**4/14 - 10*m**3 + 3168*m**2/7 - 41472*m/7 + 772. Factor q(k).
2*(k - 48)**2*(k - 9)/7
Suppose -1 = -18*s + 14*s + i, 5*s = 3*i - 11. Suppose -40/3*b - 5/6*b**s - 40 = 0. Calculate b.
-12, -4
Let g = 161 - 160. Let m(n) = -5*n**2 + 7*n - 8. Let o(s) = s**2 + 2. Let c(a) = g*m(a) + 4*o(a). Factor c(y).
-y*(y - 7)
Let g(z) be the second derivative of -z**7/280 + z**6/20 - 3*z**5/10 + z**4 - 7*z**3/2 - 12*z + 2. Let q(r) be the second derivative of g(r). Factor q(n).
-3*(n - 2)**3
Let 1/4*u**5 + 2399/2*u**2 + 81/4*u**4 + 1521/4 + 4641/4*u + 879/2*u**3 = 0. Calculate u.
-39, -1
Let w = 31 + -32. Let g(l) be the third derivative of l**6/120 - l**3/6 + 7*l**2. Let b(y) = 4*y**2 + 4. Let q(u) = w*b(u) - 4*g(u). What is o in q(o) = 0?
-1, 0
Suppose 1428 = -5*t + 1463. Let q(s) = -s**3 + 7*s**2 + 4. Let g be q(t). Find a such that 0 + 2/7*a**2 + 2/7*a**5 - 2/7*a**3 - 2/7*a**g + 0*a = 0.
-1, 0, 1
Suppose -15*y + 502 = -5918. Let z = -3838/9 + y. Suppose 20/3*c**2 + z*c**3 - 20/9 - 6*c = 0. What is c?
-5, -2/7, 1
Let j(k) be the third derivative of 1/48*k**6 + 0*k**3 + 0 - 4*k**2 - 1/12*k**5 + 0*k**4 - 15*k. Factor j(b).
5*b**2*(b - 2)/2
Let x = -36518/13 - -402010/143. Suppose 0 = 6*u - u - 10. Factor x*z + 2/11*z**u + 72/11.
2*(z + 6)**2/11
Let l = 13305 + -3100083/233. Let y = 842/1165 - l. Solve -4/5*a**4 - y*a**3 + 8/5 + 4*a + 12/5*a**2 = 0 for a.
-1, 2
Let s = 189815/42 - 63267/14. Let 3*y**2 + 0 + 22/3*y - s*y**3 = 0. Calculate y.
-2, 0, 11
Let v = -433 + 783. Find j such that -v*j + 346*j + 4 + 12 - 2 - 2 - j**2 = 0.
-6, 2
Solve 1/2*z**3 + 1225 - 1227/2*z - 612*z**2 = 0.
-2, 1, 1225
Let u = 5706 + -890135/156. Let l(h) be the third derivative of 0*h**5 + 0*h**3 + 0 - u*h**4 + 1/780*h**6 + 0*h - 7*h**2. Factor l(n).
2*n*(n - 1)*(n + 1)/13
Factor 736*g - 296 + 2*g**4 + 3945*g**2 - 4527*g**2 - 32*g**3 + 172*g**3.
2*(g - 2)*(g - 1)**2*(g + 74)
Let a(h) be the first derivative of -h**8/2940 + h**7/735 - h**6/630 + 11*h**3 - 44. Let d(x) be the third derivative of a(x). Factor d(o).
-4*o**2*(o - 1)**2/7
Factor -12 - 3/2*f**4 + 75/2*f - 81/2*f**2 + 33/2*f**3.
-3*(f - 8)*(f - 1)**3/2
Suppose -3*k = -3*t + 21, 3*t - 3250*k + 3252*k + 14 = 0. Factor 4/3*g**2 + t - 24*g.
4*g*(g - 18)/3
Solve 192*x - 6*x**4 + 5*x**4 - 155 + 242 + 34*x**2 - 44*x - 28*x**3 = 0.
-29, -1, 3
Let p = 1875683/5 + -375133. Let p*a**2 - 3*a - 3/5*a**3 + 0 = 0. Calculate a.
0, 1, 5
Let t = 76 + -21. Let f = t + -41. Factor 9*i**2 - 4*i**4 - f*i**2 - 8*i**3 + 5*i**2.
-4*i**3*(i + 2)
Let t(g) be the first derivative of g**4/6 + 190*g**3/9 + 278*g**2/3 + 368*g/3 - 14029. Factor t(v).
2*(v + 1)*(v + 2)*(v + 92)/3
Factor 72*o**3 - 66*o**3 - 2*o**3 - 212517*o + 924*o**2 - 5*o**3 - 428738.
-(o - 463)**2*(o + 2)
Suppose 329*b - 183*b - 292 = 0. Solve 1/3*s**b + 4*s - 28/3 = 0.
-14, 2
Let q(l) be the first derivative of -2*l**5/5 - 16*l**4 - 170*l**3 + 32*l**2 + 512*l + 1255. Suppose q(u) = 0. What is u?
-16, -1, 1
Determine a so that 16551*a**3 - 5913*a**4 - 14583 - 16955*a**2 + 12333 - 8479*a**2 + 12675*a + 3729*a**2 + 810*a**5 = 0.
3/10, 5/3, 2
Factor -7047/4*p**2 + 76545/8*p - 164025/8 + 1/8*p**5 - 57/8*p**4 + 639/4*p**3.
(p - 15)**2*(p - 9)**3/8
Let z = -24883 - -24888. Let a(k) be the third derivative of -1/1320*k**6 + 6*k**2 + 0*k**3 + 0*k + 1/165*k**z + 2 + 0*k**4. Factor a(c).
-c**2*(c - 4)/11
Let c(k) be the third derivative of -1/330*k**5 - 1/33*k**3 + 0*k - 3*k**2 + 1 + 1/66*k**4. Determine r so that c(r) = 0.
1
Let s = 6 - 2. Suppose -2*w = 18 - 28. Find y, given that 0*y**5 + 6*y**3 - 3*y**w - 2*y**s + 5*y**4 = 0.
-1, 0, 2
Suppose 20 = 5*d + 3*o, -2*d = 3*d - o. Let s be (-2 - 1) + d + 3 + 1. Factor -s*w + 6*w**3 + 2*w + 8*w**2 - w**3 - 4*w.
w*(w + 2)*(5*w - 2)
Let s(t) = 18*t + 57. Let j be s(-3). Solve 38*p**2 + 52*p - 2*p**2 + 8 + 4 + 4*p**3 + p**2 + j*p**3 = 0.
-3, -2, -2/7
Let t(z) = -23*z**2 + 83*z - 146. Let m(h) = 33*h**2 - 84*h + 144. Let q(l) = -2*m(l) - 3*t(l). Factor q(v).
3*(v - 25)*(v - 2)
Suppose 4*b - 5*h - 3 = 0, 4*b + 14 = 2*h + 20. Let k(y) be the second derivative of -1/40*y**5 - 1/24*y**4 - 3/4*y**b + 5/12*y**3 + 0 + y. Factor k(s).
-(s - 1)**2*(s + 3)/2
Let k(m) be the first derivative of 128*m - 8*m**2 + 148 + 1/6*m**3. Solve k(z) = 0.
16
Let h(p) be the first derivative of -5*p**4/4 + 40*p**3/3 + 165*p**2/2 + 3609. Find d, given that h(d) = 0.
-3, 0, 11
Let b(m) be the second derivative of m**7/84 - 2*m**6/15 + m**5/10 + 10*m**4/3 - 16*m**3/3 - 64*m**2 - 32*m - 2. Factor b(t).
(t - 4)**3*(t + 2)**2/2
Let l(j) be the first derivative of j**9/1512 + j**8/840 - j**7/210 - j**3 - 7*j + 151. Let g(u) be the third derivativ