4/12 - 1405*b**3/6 - 705*b**2 + 4840*b. Let f(t) = 0. Calculate t.
-1, 282
Let z = -157659/30659 + 221/43. Let b = 2123/5704 - z. Solve -3/8*m**4 + 3/4*m**2 + 0*m + 0*m**3 - b = 0.
-1, 1
Let c(f) be the first derivative of -5*f**3/4 - 252*f**2 - 4617. Suppose c(y) = 0. What is y?
-672/5, 0
Let x(u) = u**4 + 12*u**2 - 2*u - 6. Let f(o) = 3*o**4 - o**3 + 36*o**2 - 7*o - 17. Let a = 160 + -166. Let g(i) = a*f(i) + 17*x(i). Factor g(q).
-q*(q - 2)**3
Let d(s) = -13*s**2 + 34*s - 22. Let l(z) = 7*z**2 - 17*z + 12. Let r = -395 - -406. Let g(h) = r*l(h) + 6*d(h). Factor g(v).
-v*(v - 17)
Let l(b) = b**2 - 14*b + 66. Suppose -15 = 3*p - 3. Let h(z) = -13*z + 3 + 115*z - 5*z**2 - 334 - 33*z. Let i(j) = p*h(j) - 22*l(j). Solve i(y) = 0 for y.
8
Let f(d) be the first derivative of d**3/27 + 37*d**2/18 - 241. Suppose f(x) = 0. Calculate x.
-37, 0
Let u(p) be the first derivative of -5*p**4/12 - 65*p**3/6 - 90*p**2 + 34*p - 67. Let q(r) be the first derivative of u(r). What is x in q(x) = 0?
-9, -4
Let y = -1069 + 1075. Let i(p) be the first derivative of -1/27*p**y + 1/3*p**2 + 4/27*p**3 - 1/9*p**4 + 2/9*p - 2 - 2/15*p**5. Find a, given that i(a) = 0.
-1, 1
Let u(o) be the first derivative of -3/16*o**4 + o**3 - 3/20*o**5 + 1/16*o**6 - 91 - 21/16*o**2 + 3/4*o. Suppose u(t) = 0. What is t?
-2, 1
Suppose 0 = -0*x + 5*x - 7*x. Suppose -18*b + 38*b - 14*b = x. Factor 0*t**3 + b*t + 1/9*t**4 + 0*t**2 - 1/9*t**5 + 0.
-t**4*(t - 1)/9
Let r(a) = -a**3 - 5*a**2 - 7*a - 2. Let f be r(-5). Factor 86*b + 29*b**2 - 2*b**4 + 13*b**3 + 36 - 3*b**3 + f*b**2.
-2*(b - 9)*(b + 1)**2*(b + 2)
Let o(u) = -u**3 - 2*u**2 - 4*u**2 + 0*u**2 - 1 + 4*u**2. Let y(h) = h**3 + 10*h**2 + 20*h + 5. Let a(w) = 3*o(w) - y(w). Solve a(s) = 0.
-2, -1
Let h(y) be the second derivative of 5*y**7/231 + 46*y**6/165 + 79*y**5/110 + 7*y**4/33 - 450*y. Determine m, given that h(m) = 0.
-7, -2, -1/5, 0
Let q(p) be the second derivative of p**5/16 + 25*p**4/12 + 335*p**3/24 + 30*p**2 + 207*p. Suppose q(t) = 0. Calculate t.
-16, -3, -1
Let i(k) be the second derivative of k**7/1260 + k**6/240 + k**5/180 - 27*k**2 - 81*k. Let v(f) be the first derivative of i(f). Factor v(w).
w**2*(w + 1)*(w + 2)/6
Suppose -1013 + 1022 = 3*w. Let x(s) be the first derivative of 0*s**w + 0*s**4 + 6 + 0*s**5 - 1/12*s**6 + 0*s**2 + 0*s. Suppose x(y) = 0. Calculate y.
0
Suppose 2*s = -s - 2*j + 12, 2*s + j = 7. Let i(p) be the second derivative of -4*p + 1/8*p**4 + 0 - 3/40*p**5 + 1/2*p**3 + 0*p**s. Factor i(d).
-3*d*(d - 2)*(d + 1)/2
Let u(m) be the second derivative of m**5/20 - m**4/6 + m**3/6 - 2*m - 649. Factor u(o).
o*(o - 1)**2
Let n(r) be the third derivative of -1/255*r**5 + 0*r**4 + 0*r**3 + 1/1020*r**6 + 12*r**2 + 0 + 0*r. Find i, given that n(i) = 0.
0, 2
Let u(s) be the third derivative of -19*s**6/80 + 107*s**5/48 + 11*s**4/6 - 5*s**3/24 + 1355*s**2. Determine r so that u(r) = 0.
-1/3, 1/38, 5
What is d in 2*d**4 - 180*d + 168*d**2 + 35089*d**3 + 2*d**5 - 35199*d**3 + 118*d**2 = 0?
-9, 0, 1, 2, 5
Suppose 5 + 2 = -t. Let u(n) = -n**2 - n + 2. Let z(b) = 2*b - b - 2*b**2 + 5*b**2 - 2*b - 5 + 3*b. Let s(k) = t*u(k) - 2*z(k). Let s(d) = 0. What is d?
-4, 1
Let y(u) = -2*u**2 - 9. Let o(t) = -t**2 - 3810*t + 725778. Let b(f) = o(f) - 3*y(f). Factor b(a).
5*(a - 381)**2
Let f be (9 + -8)/((-3)/(2*-33)). Factor 0*p - 18*p + f*p**2 - 8*p - 21*p**2.
p*(p - 26)
Let f(a) be the third derivative of a**6/320 + 7*a**5/32 + 49*a**4/16 + 477*a**2 - 4*a - 1. Factor f(q).
3*q*(q + 7)*(q + 28)/8
Let x(d) be the third derivative of 17/30*d**5 + 0 - 22*d**2 + 1/30*d**7 - 4/15*d**6 + 0*d**4 - 3/2*d**3 + 0*d. Factor x(m).
(m - 3)*(m - 1)**2*(7*m + 3)
Let m be 650/525*1188/(-15). Let f = -486/5 - m. Find b such that f*b + 3/7 + 3/7*b**2 = 0.
-1
Let r = 36538378115988171777/757606 - 48228733822068. Let x = -1/39874 - r. Determine t, given that x + 52/19*t + 2/19*t**2 = 0.
-13
Factor -76/5 + 2/5*g**2 + 34/5*g.
2*(g - 2)*(g + 19)/5
Let p(j) be the second derivative of -3*j**5/20 - 136*j**4 - 36992*j**3 - 4*j + 366. Factor p(o).
-3*o*(o + 272)**2
Let w(m) = 72*m**3 + 1392*m**2 + 12483*m + 19662. Let r(x) = x**3 - 3*x**2 + 7. Let a(b) = 24*r(b) - w(b). Solve a(z) = 0 for z.
-57/4, -2
Suppose -7 = 5*r - 4*k - 11, k = -3*r + 16. Let u(c) be the first derivative of -2/3*c**3 + c**2 - 4 + r*c. Determine j so that u(j) = 0.
-1, 2
Let b(z) = -z**3 + 4*z**2 - 12. Let u be b(4). Let a be u*(-8)/640*5. Factor -15/8*s - 3/8*s**3 + 3/2*s**2 + a.
-3*(s - 2)*(s - 1)**2/8
Let b(u) be the first derivative of -u**6/27 - 22*u**5/15 - 59*u**4/18 + 194*u**3/27 + 40*u**2/3 - 248*u/9 - 631. Find r, given that b(r) = 0.
-31, -2, 1
Let u(n) be the first derivative of -n**5/10 + 17*n**4/12 - 10*n**3/3 + 51*n**2/2 - 19. Let p(s) be the second derivative of u(s). What is w in p(w) = 0?
2/3, 5
Suppose -35 = -p + 5*d, -49 + 9 = -4*p - 5*d. Suppose -3*i + 59 - 53 = 0. Let -p*m - m**2 - 4*m**i + 0*m**2 - 10 = 0. What is m?
-2, -1
Factor 6201872/3*a + 34429510/3 + 896/3*a**3 - 2/3*a**4 - 44092*a**2.
-2*(a - 151)**3*(a + 5)/3
Let c = 55652 - 55649. Let o = -5/2 + 17/6. Factor -o*i**4 - 12*i**2 + 11/3*i**c + 16/3*i + 64/3.
-(i - 4)**3*(i + 1)/3
Suppose -1794*o - 1316*o = -9330. Solve -o*t**2 - 141/7*t + 6 = 0 for t.
-7, 2/7
Suppose 447 = l + 441. Let h be (-28)/52 + l + -5. Determine o so that -16/13*o + h*o**3 + 8/13 + 2/13*o**2 = 0.
-2, 2/3, 1
Let j be 496/217*252/414. Determine m, given that -j + 0*m**2 + 2/23*m**4 - 8/23*m**3 + 32/23*m = 0.
-2, 2
Let 68/5*p - 68/5*p**3 + 0 + 4/5*p**2 - 4/5*p**4 = 0. Calculate p.
-17, -1, 0, 1
Let v(g) be the first derivative of 105 + 0*g + 24*g**2 - 12*g**4 + 4/5*g**5 - 4/3*g**3. Suppose v(l) = 0. Calculate l.
-1, 0, 1, 12
Let h(k) be the second derivative of -k**7/42 - 14*k**6/5 + 3*k**5/20 + 125*k**4/6 - 28*k**3 - 96*k - 6. Let h(b) = 0. Calculate b.
-84, -2, 0, 1
Let c(x) be the second derivative of 23*x**6/75 - 82*x**5/25 + 251*x**4/30 - 2*x**3 - 237*x + 16. Determine k, given that c(k) = 0.
0, 3/23, 2, 5
Suppose 0 = 4*u - 4*j + 12, u - 4*j + 25 = 4. Suppose -4*t - 1 = -17. Suppose 5*i**4 - 5*i**t - 12*i**3 + 5*i**4 - 25*i**2 + 20 + 15*i - 3*i**u = 0. What is i?
-1, 1, 4
Let y be (-35172)/63*28/(-40). Let k = 392 - y. Factor -k*h**3 - 22/5*h**2 - 12/5*h + 0.
-2*h*(h + 3)*(3*h + 2)/5
Let p(g) be the first derivative of 2*g**2 - 11/6*g**4 - 121/3*g**3 - 31 - 1/30*g**5 + 0*g. Let n(q) be the second derivative of p(q). Solve n(v) = 0.
-11
Let h(m) be the second derivative of -16*m**6/45 + 2064*m**5/5 - 199692*m**4 + 51520536*m**3 - 7476917787*m**2 + 9*m + 53. Factor h(z).
-2*(2*z - 387)**4/3
Let h = -95 - -80. Let x = h + 18. Find f such that -2 - 50*f**2 + 4*f**4 - 16*f + 4*f**x + 26*f**2 + 34 = 0.
-2, 1, 2
Let y = 299638 + -299636. Factor -2/3*b**y - 44/3 - 46/3*b.
-2*(b + 1)*(b + 22)/3
Suppose -4*f + 4*u - 20 = 0, -f = u - 1072 + 1067. Let -2/7*l**4 + 2/7*l + 6/7*l**3 - 6/7*l**2 + f = 0. What is l?
0, 1
Let a be (946/(-33) + 28)*9*1/(-4). Find j, given that 0*j + 0 + 1/2*j**4 + a*j**2 + 2*j**3 = 0.
-3, -1, 0
Factor -8*t**2 - 72*t**5 - 10*t**3 + 0*t**4 - t**4 - 75*t**5 + 148*t**5.
t**2*(t - 4)*(t + 1)*(t + 2)
Suppose -4*w = -f + 22 + 4, -w = 2. Let h be 3*6/f*3/1. Factor -9/7*r + 24/7*r**2 + 0*r**4 - 18/7*r**h + 3/7*r**5 + 0.
3*r*(r - 1)**3*(r + 3)/7
Let q(u) = 13*u**3 + 71*u**2 - 212*u - 263. Let z(v) = -4*v**3 - 24*v**2 + 70*v + 88. Let o(m) = 2*q(m) + 7*z(m). Factor o(y).
-2*(y - 3)*(y + 1)*(y + 15)
Let i(c) be the third derivative of -c**2 + 1/84*c**4 + 0*c**7 + 12*c + 0*c**3 + 0 + 1/1176*c**8 + 0*c**5 - 1/210*c**6. Let i(w) = 0. Calculate w.
-1, 0, 1
Let c(k) be the second derivative of -1/2*k**3 + 9/4*k**4 + 0 + 27/20*k**5 - 50*k - 3/2*k**2. Suppose c(p) = 0. What is p?
-1, -1/3, 1/3
Suppose -5*c = -5*b - 10, -c + 4*c + 3*b - 6 = 0. Factor -1 - 200*q + 24*q**c + 1 + 394*q - 202*q - 10*q**3.
-2*q*(q - 2)*(5*q - 2)
Let a(c) be the second derivative of -1/20*c**5 - 5*c**2 + 0 - 3*c**3 + 5/8*c**4 + 7*c. Let i(p) be the first derivative of a(p). Suppose i(o) = 0. What is o?
2, 3
Let l = 2040 - 1968. Suppose -l = -4*g - 20*g. Let 8*j**2 + 288/7 + 240/7*j + 4/7*j**g = 0. What is j?
-6, -2
Let m(l) = 3*l**3 - 7*l**2 - 5*l + 9. Suppose -46*g = -39*g - 7. Let c(i) = -i**2 + i. Let f(s) = g*m(s) + 2*c(s). Factor f(t).
3*(t - 3)*(