3 + s + 2/3 + d*s**2.
-(s - 2)*(s + 1)**2/3
Suppose 2*r = -v + 3*v, 0 = -r + 3. Find o, given that -3*o**3 - 100*o**2 + 40*o - 3*o**3 + 36*o**4 - 4*o**v - 11*o**4 = 0.
-2, 0, 2/5, 2
Let y(v) = v**2 - 26*v + 144. Let g be y(18). Let q(w) be the second derivative of 3/11*w**2 + 27*w - 1/66*w**3 - 1/132*w**4 + g. Factor q(c).
-(c - 2)*(c + 3)/11
Let a be (3 - -5 - 324/42)*(1 + (-6)/48). Determine l, given that -a*l**2 + l - 3/4 = 0.
1, 3
Suppose 20 = -3*u + 7*u. Determine v so that 59*v + 9*v - 33*v - 30 - u*v**3 = 0.
-3, 1, 2
Let k(y) be the first derivative of -y**4/3 - 520*y**3 - 304200*y**2 - 79092000*y - 24. Suppose k(i) = 0. Calculate i.
-390
Let s = 455 + -1115. Let z be (-14140)/s - (-1)/(-11). Factor 64/3 - 2/3*g**3 - z*g + 20/3*g**2.
-2*(g - 4)**2*(g - 2)/3
Let g(k) be the first derivative of -5*k**4/4 - 337*k**3/3 - 671*k**2/10 - 67*k/5 - 2976. Determine o, given that g(o) = 0.
-67, -1/5
Let p = -8168 + 8190. Let q(f) be the third derivative of 1/36*f**4 + 1/18*f**5 + p*f**2 - 1/180*f**6 + 0*f - 5/9*f**3 + 0. Factor q(w).
-2*(w - 5)*(w - 1)*(w + 1)/3
Let a(j) = -j**3 + 8*j**2 + 8*j + 14. Let d be a(9). Suppose -561*u**2 + 2*u**5 + 6*u**4 + 603*u**2 - 15*u + u**d - 36*u**3 = 0. What is u?
-5, 0, 1
Let r = -1824997/2 - -912500. Factor -r*z - 3/2*z**5 + 3/2*z**4 - 3*z**2 + 3/2 + 3*z**3.
-3*(z - 1)**3*(z + 1)**2/2
Let d(s) be the third derivative of s**5/75 + 168*s**4/5 + 169344*s**3/5 - 3*s**2 - 4*s - 23. Factor d(f).
4*(f + 504)**2/5
Find z such that 415*z + 555*z + 418*z - 21*z**4 - 25*z**2 + 44*z**3 - 1386*z = 0.
0, 2/21, 1
Let s(p) = -p**3 - 4*p**2 + 5*p + 3. Let y be s(-5). Let q = -3425 + 3431. Suppose -9*v**2 - 8*v**y + 2*v**4 + 8*v + 13*v**2 - q*v**4 = 0. What is v?
-2, -1, 0, 1
Let m(d) be the second derivative of -3*d**4/2 - 47*d**3/3 - 60*d**2 - 14*d - 12. Factor m(j).
-2*(j + 3)*(9*j + 20)
Let c(j) be the third derivative of 169/33*j**3 + 0 + 9*j**2 + 7/165*j**6 + 91/33*j**4 + j + 1/1155*j**7 + 37/55*j**5. Solve c(k) = 0 for k.
-13, -1
Solve 1039 + 1024 - 3*z**2 - 2102 + 42*z = 0.
1, 13
Let x(y) be the third derivative of -y**9/22680 - y**8/4200 + y**6/675 + 95*y**3/6 + y**2 + 7*y. Let h(s) be the first derivative of x(s). Factor h(k).
-2*k**2*(k - 1)*(k + 2)**2/15
Let 0*p - 2/7*p**3 - 1404/7*p**2 + 0 = 0. Calculate p.
-702, 0
Let u(z) be the first derivative of 5/3*z**3 - 25/2*z**2 + 20*z - 28. Determine n so that u(n) = 0.
1, 4
Let p(s) = -s**4 + 10*s**3 + 11*s**2 + 2. Let b(d) = 4*d**4 - 31*d**3 - 31*d**2 - 7. Let a(l) = 2*b(l) + 7*p(l). Find r such that a(r) = 0.
-5, -3, 0
Let k(w) be the first derivative of -w**6/24 - 3*w**5/5 - 956. Solve k(t) = 0 for t.
-12, 0
Let f(u) be the third derivative of -1/1680*u**7 + 7/960*u**6 + 0*u + 0*u**3 - 1/30*u**5 + 0 + 1/16*u**4 + 36*u**2. Factor f(p).
-p*(p - 3)*(p - 2)**2/8
Let g(p) = 11*p**3 + 5305*p**2 - 5298*p - 3. Let v(i) = 52*i**3 + 26524*i**2 - 26492*i - 14. Let k(o) = -14*g(o) + 3*v(o). Factor k(a).
2*a*(a - 1)*(a + 2652)
Let t = 228716 + -228711. Factor 0 - 1/5*y + 1/5*y**t - 2/5*y**4 + 2/5*y**2 + 0*y**3.
y*(y - 1)**3*(y + 1)/5
Let 3*u**5 + 10258*u**2 + 28227 + 72680*u**2 + 26490*u**3 - 860*u**4 + 287*u**4 + 84099*u = 0. What is u?
-1, 97
Let f be ((-540)/125)/((-17)/5 - -3). Let 48/5*z**3 - f*z + 6/5*z**5 + 28/5 + 88/5*z**4 - 116/5*z**2 = 0. Calculate z.
-14, -1, 1/3, 1
Let n be ((-126)/27 - -4)/(4/(-18)). Factor -32 - 6716*d**2 + 28*d + 20*d**n + 20*d + 6788*d**2.
4*(d + 2)**2*(5*d - 2)
Let r(i) be the first derivative of -i**3/7 + 180*i**2/7 + 1875*i/7 + 5927. Factor r(x).
-3*(x - 125)*(x + 5)/7
Find c, given that -200746 + 907626 - 2146*c - 1614*c + 3*c**2 + 2*c**2 = 0.
376
Let s(g) be the first derivative of -g**5/210 - g**4/28 + 4*g**3/21 - 33*g**2 - 2*g - 50. Let o(a) be the second derivative of s(a). Factor o(p).
-2*(p - 1)*(p + 4)/7
Find f such that 0*f - 6/5*f**4 + 272/5*f**2 + 0 - 814/5*f**3 = 0.
-136, 0, 1/3
Let s be (3 - (13 - 10))/4. Let r(l) be the third derivative of 0 - 2/69*l**3 + 5*l**2 + s*l - 1/92*l**4 - 1/690*l**5. Factor r(o).
-2*(o + 1)*(o + 2)/23
Let q(p) be the first derivative of p**5/8 + 81*p**4/32 + 11*p**3/24 - 81*p**2/16 - 2*p + 5307. Find f, given that q(f) = 0.
-16, -1, -1/5, 1
Factor -1004/5*k**2 + 1012/5*k - 8/5.
-4*(k - 1)*(251*k - 2)/5
Let b(c) be the second derivative of c**6/60 - 17*c**5/40 + 29*c**4/8 - 91*c**3/12 - 49*c**2 - 1070*c. Determine i so that b(i) = 0.
-1, 4, 7
Let x(h) be the second derivative of h**6/135 - 4*h**5/9 + 263*h**4/54 - 224*h**3/27 - 8173*h. Factor x(a).
2*a*(a - 32)*(a - 7)*(a - 1)/9
Factor 108*d**2 + 1/5*d**4 + 1134/5*d + 135 + 82/5*d**3.
(d + 1)*(d + 3)**2*(d + 75)/5
Let c(v) = v**3 - 13*v**2 + 25*v - 154. Let y be c(12). Let r = -18 - -62/3. Factor -6*i**y - r - 8*i.
-2*(3*i + 2)**2/3
Let z(f) = f**4 + 4*f**3 + f**2. Let v(p) = 25*p**4 - 235*p**3 - 265*p**2 + 500*p - 160. Let b(s) = v(s) + 5*z(s). Let b(k) = 0. Calculate k.
-2, 1/2, 2/3, 8
Let l = -1559/1600 - -63/64. Let n(h) be the third derivative of -7/600*h**6 + 1/15*h**3 + 0*h - 1/350*h**7 + 0 + 2*h**2 - l*h**5 + 1/40*h**4. Factor n(v).
-(v + 1)**3*(3*v - 2)/5
Let q(o) be the third derivative of o**5/24 + 165*o**4/8 + 16335*o**3/4 - 3*o**2 + 443*o. Suppose q(p) = 0. What is p?
-99
Let f(w) be the third derivative of -w**7/70 + 53*w**6/20 - 309*w**5/20 + 3*w**2 + 17*w + 21. Factor f(t).
-3*t**2*(t - 103)*(t - 3)
Let r(w) be the first derivative of w**5/15 - 74*w**4/3 + 10952*w**3/3 - w**2 + 149*w - 158. Let v(j) be the second derivative of r(j). Factor v(c).
4*(c - 74)**2
Let d be ((-10)/15)/((-224)/(-36) + -6). Let h be d - (440/(-121) - (-2)/11). Factor 0 - 1/11*v**3 + h*v**2 - 4/11*v.
-v*(v - 4)*(v - 1)/11
Let r(t) = 30*t**2 - 27*t + 87. Let p(j) = 20*j**2 - 8*j + 44. Let c(z) = -z**2 - z. Let b(w) = -6*c(w) - p(w). Let q(g) = 13*b(g) + 6*r(g). Factor q(m).
-2*(m - 5)**2
Suppose -43*r - 1 = -42*r, -4*v + 13 = -5*r. Let c(h) be the first derivative of 1/7*h**3 + 0*h - 38 + 0*h**v + 3/28*h**4. Factor c(p).
3*p**2*(p + 1)/7
Let k(g) = -1197*g - 132863. Let c be k(-111). Factor -c + 166/11*f + 40/11*f**2.
2*(4*f - 1)*(5*f + 22)/11
Let z(o) be the third derivative of -8/75*o**5 + 0*o**3 + o + 40*o**2 + 1/300*o**6 + 0 + 0*o**4. Find l such that z(l) = 0.
0, 16
Let s(w) be the first derivative of -w**4/4 + 111*w**2/2 - 110*w - 4346. Factor s(o).
-(o - 10)*(o - 1)*(o + 11)
Let m = -171642 - -343287/2. Factor -9/2*j**2 + 0 + 0*j + m*j**3.
3*j**2*(j - 3)/2
Let r(h) be the first derivative of -2/5*h**5 - 2*h**4 - 8/3*h**3 + 50 + 0*h**2 + 0*h. Factor r(w).
-2*w**2*(w + 2)**2
Determine m so that 384 - 4*m**3 - 259*m + 184*m + 143*m + 140*m = 0.
-6, -2, 8
Let u(v) be the first derivative of 3*v**4/2 + 2*v**3/3 + 4*v - 68. Let r(f) = -5*f**3 - 2*f**2 + f - 3. Let n(w) = 4*r(w) + 3*u(w). Let n(j) = 0. Calculate j.
-2, 0, 1
Let s(r) be the second derivative of 0*r**3 + 0 + 13/18*r**6 + 35/12*r**5 + 25*r + 5/126*r**7 - 245/36*r**4 + 0*r**2. Factor s(w).
5*w**2*(w - 1)*(w + 7)**2/3
Let u(c) be the second derivative of 12*c**2 + 1 - 4/3*c**3 + 3/5*c**5 - 11*c - 3/2*c**4 - 1/15*c**6. Let u(z) = 0. What is z?
-1, 2, 3
Suppose 3*u - 12 = -5*m, 2*u = 6*u + 5*m - 16. What is h in u*h**4 - 8*h**3 - 7307 + 7307 + 4*h**2 = 0?
0, 1
Let v(n) be the second derivative of 5/3*n**3 - 3*n**2 - 26*n - 1/6*n**4 + 1 - 1/10*n**5. Factor v(h).
-2*(h - 1)**2*(h + 3)
Let b(s) be the third derivative of 1/70*s**7 + 7/20*s**6 + 0 - 16*s**2 + 9/5*s**5 + 11/2*s**3 + 17/4*s**4 + 0*s. Factor b(m).
3*(m + 1)**3*(m + 11)
Let h be -4*(-86)/(-10)*5. Let x be 7 - (h/(-14) - 7). Factor 6/7 - 2/7*m**4 + x*m**2 + 0*m**3 + 16/7*m.
-2*(m - 3)*(m + 1)**3/7
Suppose 9 = 6*c - 3. Suppose l = j - 10, -j - c*j - 2*l + 10 = 0. Factor 4*o**2 - 4*o**2 + 3*o**3 - 3*o**2 - 6*o**3 + j*o.
-3*o*(o - 1)*(o + 2)
What is t in 0*t + 0 - 71/4*t**2 - 1/4*t**4 - 18*t**3 = 0?
-71, -1, 0
Factor 28*h + 79*h - 48 + 6 - 59*h - 2*h**2 - 246.
-2*(h - 12)**2
Let l be (188/(-752))/((21/(-4))/3). Let j(z) be the first derivative of 0*z + 2 - 3/7*z**4 + 1/7*z**2 - 1/5*z**5 - l*z**3. Let j(n) = 0. What is n?
-1, 0, 2/7
Let f be ((-2)/(-10))/(6/30) + 1627. Factor -f*g**2 + 3248*g**2 - 1619*g**2.
g**2
Let n(x) be the second derivative of 1/60*x**6 + 35/24*x**4 + 17 + 0*x**2 - 2*x + 19/40*x**5 + 17/12*x**3. Factor n(g).
g*(g + 1)**2*(g +