30)*(10*d + 3)
Let r = -420387/2 - -210194. Factor -3/2*l**2 + 7/4*l + 1/2*l**4 - r - 1/4*l**3.
(l - 1)**2*(l + 2)*(2*l - 1)/4
Factor 0 + 1/4*h**2 + 19*h.
h*(h + 76)/4
Let z = 219 - 215. Factor 560*g + 22*g**4 + 75 + 5*g**4 - 600*g**3 + 32*g**4 + 21*g**z + 885*g**2.
5*(g - 5)*(g - 3)*(4*g + 1)**2
Suppose 0 = -10*t + 149*t - 556. Factor -10/3 + 2/3*f**4 - 4*f + t*f**3 + 8/3*f**2.
2*(f - 1)*(f + 1)**2*(f + 5)/3
Let a(j) be the second derivative of j**4/114 - 14*j**3/57 + 45*j**2/19 - 5*j - 534. Factor a(n).
2*(n - 9)*(n - 5)/19
Let t(g) be the second derivative of -g**4/144 + 17*g**3/36 - 63*g**2/8 + 3*g - 252. Factor t(n).
-(n - 27)*(n - 7)/12
Let k(t) be the first derivative of t**4/28 - t**3/21 - 5*t**2/7 - 8*t/7 - 4135. Solve k(a) = 0.
-2, -1, 4
Let 1880*u + 106308*u + 5225495 + 3287969 + 119341*u + 3545573 + 3*u**3 + 1431*u**2 = 0. Calculate u.
-159
Let q(t) be the third derivative of -t**5/90 + 5*t**4/2 - 56*t**3 - 1243*t**2. Find f, given that q(f) = 0.
6, 84
Let 52736*t - 3336*t - 17944*t**2 + 11*t**4 - 8*t**5 - 30324 + 257*t**4 - 1392*t**3 = 0. Calculate t.
-7, 1, 3/2, 19
Let f(k) be the first derivative of -k**6/21 + 22*k**5/35 + 9*k**4/7 - 136*k**3/21 - 8*k**2 + 192*k/7 - 5205. Suppose f(i) = 0. Calculate i.
-2, 1, 2, 12
Suppose -31632*a**2 - 2104046165 - 71160895659 + 16062946*a + 15026746*a + 52292260*a + 4*a**3 = 0. Calculate a.
2636
Let 2/15*j**4 + 18406/15*j**2 - 126/5*j**3 - 16802/5*j - 23064/5 = 0. What is j?
-1, 4, 93
Let c be (13344/26688)/((-2)/(-40) + 1/4). Factor -c*z + 1/3*z**2 + 0.
z*(z - 5)/3
Let a(h) be the third derivative of h**5/450 + 11*h**4/30 - 67*h**3/45 + 14*h**2 + h. Suppose a(t) = 0. What is t?
-67, 1
Let y(a) = 4*a**4 - 64*a**3 + 54*a**2 + 1142*a + 1456. Let u(k) = 4*k**4 - 64*k**3 + 55*k**2 + 1141*k + 1456. Let p(w) = 6*u(w) - 5*y(w). Factor p(i).
4*(i - 13)*(i - 7)*(i + 2)**2
Let j(n) = 12*n**2 - 7800*n + 3111. Let h(t) = 13*t**2 - 7802*t + 3114. Let y(z) = 3*h(z) - 2*j(z). Suppose y(x) = 0. What is x?
2/5, 520
Suppose -n + 4 = 0, 25*c = 27*c - 2*n + 4. Factor -2*t**3 + 14*t + 0*t**3 - 6629*t**2 + 6641*t**c.
-2*t*(t - 7)*(t + 1)
Let c(b) be the third derivative of b**8/168 + 2*b**7/21 - 12*b**6/5 + 81*b**5/5 - 171*b**4/4 - 2*b**2 - 2*b - 290. Factor c(n).
2*n*(n - 3)**3*(n + 19)
Let v(s) = -s + 3. Let p be v(-3). Let c be (-3)/(-1) + (-2)/2. Factor 2*l**c + p*l - 3*l + 6*l - 5*l + 2.
2*(l + 1)**2
Let i = 2/3025 + 3011/21175. Let n(c) be the first derivative of 16/21*c**3 + 50 + 0*c + i*c**4 + 0*c**2 - 2/35*c**5. Solve n(x) = 0.
-2, 0, 4
Let z(c) be the first derivative of -c**4/8 + 13*c**3/6 - 21*c**2/2 + 4492. Factor z(b).
-b*(b - 7)*(b - 6)/2
Factor -122*o - 24*o**3 - 103*o - 555*o + 521 + 29*o**3 - 20*o**2 - 3401.
5*(o - 16)*(o + 6)**2
Let s = 2/159 + 791/318. Let l(t) be the second derivative of -5*t**3 + 2*t - 3/2*t**6 + 0 + 1/2*t**5 + 10/21*t**7 + s*t**2 + 10/3*t**4. Factor l(d).
5*(d - 1)**3*(d + 1)*(4*d - 1)
Suppose 138*u - 40 = 142*u. Let l be u/(-80) - -4 - (-1)/(-8). Determine t, given that -22/5*t + 8/5*t**3 - 32/5*t**l + 14/5*t**5 + 4/5 + 28/5*t**2 = 0.
-1, 2/7, 1
Let h(l) be the third derivative of l**9/7560 + l**8/4200 - l**7/1050 - 41*l**3/6 - 32*l**2. Let j(u) be the first derivative of h(u). Factor j(c).
2*c**3*(c - 1)*(c + 2)/5
Find t such that 3136/11*t + 3134/11 + 2/11*t**2 = 0.
-1567, -1
Let k = 59159/35508 + 7/11836. Factor -5/3*t**2 - k*t + 10.
-5*(t - 2)*(t + 3)/3
Let h(n) = 13*n - 11. Let d be h(1). Solve 0*b**2 + 100*b - 49*b - 3*b**d - 27*b = 0.
0, 8
Suppose 0 = -4*t + 1091 + 161. Suppose -4 - 5 = -3*o. Let 0*u**o - t*u**4 + 4*u**5 + 4*u**2 + 309*u**4 - 4*u**3 = 0. What is u?
-1, 0, 1
Let i(y) be the third derivative of -12*y + 0*y**4 - 1/784*y**8 - 1/1470*y**7 - y**2 + 1/420*y**6 + 0*y**5 + 0*y**3 + 0. Find j such that i(j) = 0.
-1, 0, 2/3
Suppose -14*j + 120 = 4*j + 22*j. Let l(a) be the first derivative of -5/2*a**2 + 0*a + 23 + 5/3*a**j. Factor l(n).
5*n*(n - 1)
What is p in -3608 - 321*p**2 - 76*p + 154*p**2 + 171*p**2 = 0?
-22, 41
Let n be 58842/42497 - 68/(-26). Suppose z = 3*z. Let z*x - 3/4*x**2 + 3/2*x**3 - 3/4*x**n + 0 = 0. What is x?
0, 1
Let u(b) be the first derivative of b**7/210 + 11*b**6/90 + b**5/3 - 98*b**3/3 + 6. Let t(k) be the third derivative of u(k). Factor t(f).
4*f*(f + 1)*(f + 10)
Let x be (120/84)/(1/6*3/7). Let k(f) be the second derivative of -1/10*f**5 + 0 - x*f + 0*f**3 - 1/3*f**4 + 0*f**2. What is d in k(d) = 0?
-2, 0
Suppose 911*a - 542 = 596 + 1595. Factor -1/2*y**2 - 3/8*y - 1/8*y**a + 0.
-y*(y + 1)*(y + 3)/8
Let d(a) be the first derivative of a**3/4 - 621*a**2/8 + 309*a/2 + 865. Factor d(l).
3*(l - 206)*(l - 1)/4
Let h(s) be the first derivative of -25/3*s**3 + 176 - 5*s**4 + 1/2*s**5 + 10*s**2 + 45/2*s. Find k such that h(k) = 0.
-1, 1, 9
Let n(x) be the third derivative of x**2 + 11/39*x**3 + 0 - 6*x - 5/78*x**4 - 1/390*x**5. Factor n(l).
-2*(l - 1)*(l + 11)/13
Factor 1525*q**3 + q**2 + 1523*q**3 - 4*q - 9*q**2 - 4577*q**3 + 1525*q**3.
-4*q*(q + 1)**2
Let h be -9 + 5 + 1 + (-28)/(-8). Let m(v) be the first derivative of h*v**3 - 3/4*v - 10 - 3/8*v**2. Factor m(t).
3*(t - 1)*(2*t + 1)/4
Let t(j) be the first derivative of j**4 - 28*j**3 + 136*j**2 + 1535. Factor t(z).
4*z*(z - 17)*(z - 4)
Let k(m) = -m**3 + 23*m**2 - 43*m - 69. Let q be k(21). Let z = -86 - q. Solve 0*y**2 + 2/15*y**z + 0 + 0*y - 4/15*y**3 = 0.
0, 2
Let i be (3 - 6)*49/(-21) - -17. Let g(a) be the first derivative of 8*a + i - 16*a**2 + 14/3*a**3. Factor g(t).
2*(t - 2)*(7*t - 2)
Let k(a) be the first derivative of 7/38*a**4 - 15/19*a**2 - 34/57*a**3 + 36 + 18/19*a. Factor k(n).
2*(n - 3)*(n + 1)*(7*n - 3)/19
Suppose -20*s + 8*s = -24. Factor -453*v + 0*v**2 + 447*v - v**s + 1 - 6.
-(v + 1)*(v + 5)
Solve 2/5*q**4 + 0 + 6/5*q**3 - 44/5*q**2 - 48/5*q = 0.
-6, -1, 0, 4
Let i(k) be the first derivative of 5*k**4/12 + 15*k**3 + 200*k**2/3 - 460*k + 9780. Factor i(q).
5*(q - 2)*(q + 6)*(q + 23)/3
Let m(k) be the third derivative of -k**6/60 + 244*k**5/15 - 485*k**4/3 + 1936*k**3/3 + 4*k**2 + k - 1549. Solve m(i) = 0.
2, 484
Let m(f) be the second derivative of 1/135*f**6 + 11/27*f**4 + 0*f**3 + 24 + 0*f**2 + f - 23/90*f**5. Factor m(b).
2*b**2*(b - 22)*(b - 1)/9
Let c(f) be the second derivative of 10/3*f**3 + f + 75/8*f**2 + 5/48*f**4 + 7. Solve c(k) = 0 for k.
-15, -1
Let v = 124 - 243/2. Let m be (33/(-88))/((-16)/320). Solve 0 + 0*k + 5/2*k**4 - v*k**5 + 25/2*k**3 + m*k**2 = 0.
-1, 0, 3
Let u(m) be the second derivative of -5/12*m**4 - 5/2*m**3 + 2 - 55*m + 10*m**2. Find s such that u(s) = 0.
-4, 1
Let z(n) be the second derivative of 78*n + 0*n**2 + 23/4*n**5 - 55/6*n**4 - 20/3*n**3 + 0 + 7/6*n**6. Determine c so that z(c) = 0.
-4, -2/7, 0, 1
Let k(a) be the first derivative of a**4/21 - 16*a**3/21 + 22*a - 18. Let t(f) be the first derivative of k(f). Factor t(z).
4*z*(z - 8)/7
Suppose -4*j - j - 15 = -4*q, 3*q + 3 = -j. Suppose 3*r - 6 - 3 = q. Let r*g**3 + 2*g**3 + 0*g**3 - 7*g + 5*g**2 - 3*g = 0. Calculate g.
-2, 0, 1
Let j = 3797 - 68345/18. Let r(b) be the third derivative of -1/180*b**5 - j*b**3 + 0 + 0*b + 1/36*b**4 - 11*b**2. Factor r(z).
-(z - 1)**2/3
Let x(c) be the second derivative of -c**4/8 + 335*c**3 - 336675*c**2 + 120*c. Suppose x(h) = 0. Calculate h.
670
Let u be (-9)/(-6)*-2 - (-10 + 5). Factor -4*d**4 - 28*d**2 - 11*d**3 + 2*d - 12*d + u*d**5 + 8*d**3 - 21*d**3.
2*d*(d - 5)*(d + 1)**3
Let n(h) = -123*h**2 + 334*h + 245. Let y(t) = 62*t**2 - 166*t - 120. Let p(u) = 3*n(u) + 7*y(u). Factor p(m).
5*(m - 3)*(13*m + 7)
Let w(o) be the third derivative of -o**6/60 + 32*o**5/3 - 25277*o**4/12 - 51842*o**3/3 + 1399*o**2 - 1. Find r, given that w(r) = 0.
-2, 161
Let z(w) = 651*w + 128249. Let d be z(-197). Find y such that 1/4*y**d + 4 + 2*y = 0.
-4
Solve 5246*o - 14884/7 + 6476/7*o**3 - 28552/7*o**2 + 2/7*o**5 + 236/7*o**4 = 0 for o.
-61, 1, 2
Let k(o) be the first derivative of 7*o**6/24 + 743*o**5/20 + 19761*o**4/16 + 1961*o**3/12 - 2809*o**2 - 7818. Determine g, given that k(g) = 0.
-53, -8/7, 0, 1
Factor 19*d**3 + 524*d - 151 - 70*d**2 - d**4 + 2*d**4 - 449 - 26*d**3 - 16*d**3.
(d - 25)*(d - 2)**2*(d + 6)
Let u(m) be the second derivative of -1/54*m**4 - 34/9*m**3 + 0 - 92*m - 289*m**2. Factor u(p).
-2*(p + 51)**2/9
Suppose -m = 4*l - 9, -5*l + 3*m = -2