 5*i + 2 = -4*o. Let l be (-63)/(-6) - 0/(3*6/18). Factor -3/4*s**o - 147/4 + l*s.
-3*(s - 7)**2/4
Let h(u) be the second derivative of u**5/30 + u**4/9 - u**3 - 6*u**2 + 8*u + 115. Suppose h(y) = 0. What is y?
-3, -2, 3
Let h(y) be the first derivative of -2*y**6/3 + 84*y**5/5 - 147*y**4 + 1436*y**3/3 - 96*y**2 - 2304*y - 823. Find f, given that h(f) = 0.
-1, 3, 8
Let i(g) be the second derivative of -g**4/6 + 17*g**3/3 + 60*g**2 + 1242*g. Factor i(n).
-2*(n - 20)*(n + 3)
Let p be 6/(-16) + (-700)/(-160). Suppose -2*a + 3*n + 269 - 265 = 0, -5*n - p = -2*a. Suppose 0 + 2/23*i**a + 8/23*i = 0. Calculate i.
-4, 0
Let c(l) be the third derivative of l**8/1344 + l**7/120 + 7*l**6/240 + l**5/120 - 5*l**4/32 - 3*l**3/8 + 3*l**2 + 116*l. What is w in c(w) = 0?
-3, -1, 1
Let f be (-7)/(-49)*-2 - 1661/(-2114). Factor f*z**2 - 1/4*z**4 + 1/4*z**5 + 1/4*z - 1/2*z**3 - 1/4.
(z - 1)**3*(z + 1)**2/4
Suppose 0 = -6*t + 7*t. Suppose -2*y + 3*n + 3 = t, 0 = y + 2*n + 2*n - 18. Factor -y*j**3 + 6*j**3 - j**2 + j**4.
j**2*(j - 1)*(j + 1)
Let n(q) be the third derivative of -q**7/280 + q**6/2 - 30*q**5 + 1000*q**4 - 67*q**3/2 + 3*q**2 + 2. Let x(m) be the first derivative of n(m). Factor x(i).
-3*(i - 20)**3
Let w be (109 - 110)*(26 - -1). Let g be 60/(-72)*w/30. Find p such that -3/4*p**3 + g*p**2 + 3/2*p + 0 = 0.
-1, 0, 2
Let l = 37 + -16. Let n = l + -6. Let 2*k + 0*k - 10 - 17*k + n*k**3 + 10*k**2 = 0. What is k?
-1, -2/3, 1
Let z = -230719 - -2073955/9. Let j = z - -280. Suppose -j*k**3 + 0 - 4/3*k**2 - 8/9*k = 0. Calculate k.
-2, -1, 0
Let a(o) be the second derivative of -1/54*o**4 + 0*o**2 + 2 + 0*o**3 + 2*o + 1/180*o**5. Suppose a(h) = 0. Calculate h.
0, 2
Let l(k) be the second derivative of 8/3*k**3 + 1/15*k**6 - 7*k + 5/3*k**4 + 7/3*k**2 + 9 + 8/15*k**5. Factor l(b).
2*(b + 1)**3*(3*b + 7)/3
Solve 2288 + 3*f**3 - 4554 + 2266 + 2*f**3 - 4060*f**2 = 0 for f.
0, 812
Suppose 285 = 142*n - 283. Let i(c) be the second derivative of 0 + 0*c**2 - 2/15*c**3 - 3/50*c**5 - 1/6*c**n - 19*c. Solve i(o) = 0 for o.
-1, -2/3, 0
Let u(z) be the third derivative of -z**6/300 - 2*z**5/25 + 13*z**4/60 + 218*z**2 + 3. Determine l so that u(l) = 0.
-13, 0, 1
Let j(a) be the second derivative of -a**7/210 + a**6/30 - a**5/12 + a**4/12 - 147*a**2/2 + 181*a. Let g(o) be the first derivative of j(o). Factor g(v).
-v*(v - 2)*(v - 1)**2
Factor 1071 + 2*b**3 - 230 + 0*b**2 - 4*b**3 + 433 - 2*b**2 + 266*b.
-2*(b - 13)*(b + 7)**2
Let r(c) be the second derivative of c**5/20 + 5*c**4/12 - 4*c**3/3 - 5*c**2/2 + 8*c. Let i be r(-6). Find m such that -8*m + 3 + 0 - 3*m**2 - i = 0.
-2, -2/3
Let l be (12/(-15) - 0)/(1 + (-14)/10). Let u = 17 + -15. Determine q, given that -4*q - u*q**4 + 11/3*q**3 + 8/3 + 1/3*q**5 - 2/3*q**l = 0.
-1, 1, 2
Let s be ((-4)/8 + 23/69)*(0 - 8). Let n(c) be the first derivative of 0*c + 5 + 0*c**2 + 1/2*c**4 + 2/5*c**5 - s*c**3. Solve n(b) = 0 for b.
-2, 0, 1
Let p(r) be the third derivative of r**5/15 - 5*r**4/12 + 2*r**3/3 + 33*r**2. Let w(j) = -j**2 + j - 1. Let a(q) = -2*p(q) - 12*w(q). Factor a(m).
4*(m + 1)**2
Let t(o) be the first derivative of 9*o**5/5 + 8751*o**4/4 + 709560*o**3 + 354294*o**2 + 3344. Suppose t(s) = 0. What is s?
-486, -1/3, 0
Let x = 46863 + -46861. What is o in 2/5*o**3 - 8/5*o**x + 2*o - 4/5 = 0?
1, 2
Suppose 16 = 17*n - 21*n, 5*s = -n + 11. Determine o so that -9/2*o + 7/4*o**4 - 11*o**s + 0 + 75/4*o**2 = 0.
0, 2/7, 3
Let l(k) be the second derivative of k**4/66 + 10*k**3/33 - 171*k**2/11 - 2*k + 158. What is f in l(f) = 0?
-19, 9
Let i = -11 - -19. Let h(c) = -c**4 - 12*c**2 + 22*c - 3. Let m(t) = 2*t**4 + 36*t**2 - 64*t + 10. Let o(d) = i*h(d) + 3*m(d). Factor o(p).
-2*(p - 1)**3*(p + 3)
Let f(l) be the third derivative of -l**7/350 - 7*l**6/25 + 29*l**5/25 - 4*l**2 + 98*l. Let f(s) = 0. Calculate s.
-58, 0, 2
Suppose 9 + 7 = -m. Let l(d) = d**3 + 15*d**2 - 18*d - 24. Let y be l(m). Factor -112*a**4 - 19*a**2 + 4*a**2 - y*a**2 + 2*a + 6*a**3 + 82*a**3.
-a*(4*a - 1)**2*(7*a - 2)
Let q(z) be the second derivative of z**5/20 - z**4/6 - 11*z + 72. Solve q(y) = 0.
0, 2
Let j = 16/97119 - -6345092/97119. Suppose 0 + 1/3*m**3 + j*m - 28/3*m**2 = 0. Calculate m.
0, 14
Let y be -58931*(-33)/393855 - 1/35. Factor -2/11*t**4 - 54/11*t**2 - 18/11*t**3 - y*t + 0.
-2*t*(t + 3)**3/11
Let q(b) be the third derivative of 2*b**7/315 + 7*b**6/45 - 7*b**5/9 - 8*b**4/3 - 3671*b**2. Let q(s) = 0. What is s?
-16, -1, 0, 3
Let n(p) be the first derivative of -p**4/4 - 2*p**3 + p**2/2 + 18*p + 78. Let k(y) = 5*y**2 - 20. Let s(w) = 4*k(w) + 5*n(w). Let s(f) = 0. Calculate f.
-2, -1, 1
Let r(o) be the third derivative of 4/3*o**4 + 0 + 8*o**3 + 1/15*o**5 - 32*o**2 + 0*o. Suppose r(u) = 0. Calculate u.
-6, -2
Factor 2/7*y**2 - 838/7*y + 836/7.
2*(y - 418)*(y - 1)/7
Let q = 396953/74 + -5364. Let a = 3/148 + q. Factor 0 - a*n**3 + 0*n + 5/8*n**5 - 9/8*n**4 + 0*n**2.
n**3*(n - 2)*(5*n + 1)/8
Suppose -1465/3*c + 488 + 1/3*c**2 = 0. Calculate c.
1, 1464
Let h(a) = a**2 + 60*a + 615. Let u be h(-13). Suppose 3/2*p**u - 3/2*p + p**3 - 1/2 + 1/2*p**5 - p**2 = 0. What is p?
-1, 1
Let k(o) = -o + 20. Let c be k(17). Suppose -r = 4*p - 143, -r - 4 - 98 = -c*p. Factor 22*b**2 - 9*b - 37 - 2*b**4 - 4*b**3 - p + 33*b.
-2*(b - 2)**2*(b + 3)**2
Factor 20*b**3 + 162*b**4 + 8568 - 8568.
2*b**3*(81*b + 10)
Suppose 15*q = 146 - 101. Determine o so that 0 + 2/7*o**4 - 4*o - 54/7*o**2 - 24/7*o**q = 0.
-1, 0, 14
Let y(g) = 2*g**3 + 3*g**2 - 6*g + 6. Let v be y(6). Let d be (-60)/v - 36/(-17). Factor -w**3 + 5/3*w**d - 2/3*w + 0.
-w*(w - 1)*(3*w - 2)/3
Let u(b) be the second derivative of b**5/5 - 311*b**4/3 + 17200*b**3 - 495000*b**2 - 3653*b. Factor u(t).
4*(t - 150)**2*(t - 11)
Let g(j) = 5*j**3 + 5*j**2 + 33*j. Let k(p) = 0*p + 196*p**2 - 197*p**2 - 8*p - p**3. Let c(a) = -2*g(a) - 9*k(a). Solve c(q) = 0.
-3, 0, 2
Suppose -3*v - 11 = -3*c - 2*v, -5*c - 4*v = -7. Let h = c - -12. Factor 15*j**3 - 6*j - 46*j**4 + 15*j**5 + 11*j**4 - j + h*j**2 - 3*j.
5*j*(j - 1)**3*(3*j + 2)
Let q(b) = 52*b + 6 - 50*b - 6. Let g(o) = -16*o**2 - 40*o - 8. Let k(y) = g(y) + 2*q(y). Suppose k(t) = 0. What is t?
-2, -1/4
Let w(j) be the second derivative of 5/2*j**3 - 3/20*j**5 - 1 + 40*j - j**4 + 0*j**2. Factor w(x).
-3*x*(x - 1)*(x + 5)
Suppose -676*k**2 - 4/3*k**5 - 1936 + 68/3*k**3 - 6688/3*k + 20*k**4 = 0. Calculate k.
-3, -2, 11
Factor 752/25*i**2 - 2/25*i**3 + 754/25*i + 0.
-2*i*(i - 377)*(i + 1)/25
Suppose -q + 3 = -1. Let x(i) = -2*i**2 + 74. Let f be x(6). Factor 10*w**3 + 16*w - 4*w**3 - 4*w**q + 14*w**3 - 32*w**f.
-4*w*(w - 2)**2*(w - 1)
Let p = 19002 - 18996. Let f(y) be the second derivative of -1/21*y**3 + 1/42*y**4 + 0*y**2 + 37*y - 1/105*y**p + 0 + 1/70*y**5. Factor f(l).
-2*l*(l - 1)**2*(l + 1)/7
Let o(q) be the third derivative of 0*q - 7/60*q**4 - 1/150*q**5 - 1 + q**2 + 0*q**3. What is x in o(x) = 0?
-7, 0
Let t(v) be the first derivative of v**8/420 + 3*v**7/70 + 7*v**6/30 + 19*v**5/30 + v**4 - 29*v**3 - 19. Let l(y) be the third derivative of t(y). Factor l(s).
4*(s + 1)**3*(s + 6)
Suppose 5*h - 45 = -5*i, -i + 5*h = -1 + 4. Let x(l) = l**3 - 8*l**2 + 9*l - 11. Let t be x(i). Factor -t - 70*d - 1 + d**2 + 70*d.
(d - 2)*(d + 2)
Let x(v) be the first derivative of -3*v - 1/2*v**2 - 34 + 5/12*v**3 + 1/40*v**5 - 1/6*v**4. Let n(k) be the first derivative of x(k). Solve n(d) = 0 for d.
1, 2
Factor -1/5*l**2 - 504/5 - 46/5*l.
-(l + 18)*(l + 28)/5
Factor -124*o + 31*o**2 + 154*o + 30*o**3 + 2*o**4 + 4*o**4 + 24*o**2 - o**4.
5*o*(o + 1)*(o + 2)*(o + 3)
Let b(n) be the first derivative of -n**7/70 + n**6/90 + 2*n**5/15 - 7*n**3/3 - n + 71. Let d(f) be the third derivative of b(f). Factor d(y).
-4*y*(y + 1)*(3*y - 4)
Suppose 2*m + 1 - 7 = 0. Suppose m*w + 2 = 4*s - 4, 7 = -4*w + 5*s. Factor -2*p**2 - 2*p - 5*p**2 + 2*p**3 + 9*p**w - 2*p**4.
-2*p*(p - 1)**2*(p + 1)
Suppose 51 - 113/2*w + 11/2*w**2 = 0. What is w?
1, 102/11
Suppose g + j - 18 = 0, -5*g + 3*j + 608 - 646 = 0. Factor -12 - 16/3*s**g - 14*s - 2/3*s**3.
-2*(s + 2)*(s + 3)**2/3
Let m = -2004 - -1904. Let k be (9 + 876/m)/((-3)/(-5)). Find h such that -k*h + 4/5 + 4/5*h**3 - 8/5*h**2 + 4/5*h**4 - 2/5*h**5 = 0.
-1, 1, 2
Factor 3591*a**3 - 27*a**4 + 3743*a**3 - 7340*a**3 - 456*a + 348*a**2.
-3*a*(a - 2)**2*(9*a + 38)
Supp