3 + 0 + 1/10*j**4 + 2/5*j**2.
j**2*(j + 1)*(j + 4)/10
Let w(r) = r**2 - 13*r + 53. Let f be w(10). Solve 130 - 48*v**2 + 232 + f + 3*v**3 + 135*v + 101 = 0.
-2, 9
Suppose 3*w = 7*w - 12. Suppose 0 = -w*v + 3 + 3. Factor -276*k**3 + 275*k**3 - 4*k**2 + 0 - 5*k - v.
-(k + 1)**2*(k + 2)
Let h(k) be the first derivative of k**4/24 - 299*k**3/18 - 601*k**2/12 - 301*k/6 + 1217. Factor h(r).
(r - 301)*(r + 1)**2/6
Let j(t) = 15*t**2 - 895*t + 680. Let o(d) = 2*d**2 - 128*d + 96. Let g(q) = 3*j(q) - 20*o(q). Find k, given that g(k) = 0.
1, 24
Let v(f) be the first derivative of 12/5*f + 5 + 1/5*f**3 - 6/5*f**2. Factor v(k).
3*(k - 2)**2/5
Factor -855*f**4 + 311 + 645*f**2 - 1 + 785*f + 426*f**4 + 434*f**4 + 175*f**3.
5*(f + 1)**2*(f + 2)*(f + 31)
Let p(s) be the second derivative of -35/4*s**3 + 75/4*s**2 + s - 39/8*s**4 + 57/40*s**5 + 32 - 1/10*s**6. Determine x so that p(x) = 0.
-1, 1/2, 5
Let h(l) be the second derivative of -3/40*l**5 - 3/4*l**2 - 1 + 1/8*l**4 + 1/4*l**3 - 19*l. Let h(o) = 0. Calculate o.
-1, 1
Factor 36/5*d - 18/5*d**2 + 2/5*d**3 + 0.
2*d*(d - 6)*(d - 3)/5
Suppose 3*y = 6*y - 6. Factor 1007*u - 2*u**3 + 0*u**3 - 997*u + 22*u**3 + 45*u**y.
5*u*(u + 2)*(4*u + 1)
Let c(q) = 167*q + 7351. Let m be c(-44). Factor 10/3*d**m + 0 + 2*d**2 - 4/3*d.
2*d*(d + 1)*(5*d - 2)/3
Let f be (90/(-20))/9 + 53697/6. Let l be f/1330 + 6/(-20) - 3. Factor -2*z**3 - 4/7 + l*z**2 - 6/7*z.
-2*(z - 1)**2*(7*z + 2)/7
Let x(i) = -26*i**4 + 651*i**3 - 1598*i**2 + 1271*i - 318. Let k(q) = 5*q**4 - q**2 + q. Let d(o) = -4*k(o) - x(o). Suppose d(z) = 0. What is z?
1/2, 1, 106
Factor 20*c**3 + 12168 + 2324*c**2 + 8452*c + 2802*c**2 - 16080 - 1814*c**2.
4*(c + 3)*(c + 163)*(5*c - 2)
Let i(y) be the third derivative of -2*y**7/105 - 157*y**6/10 - 3713*y**5 - 55225*y**4/6 + 74*y**2 + 1. Let i(r) = 0. What is r?
-235, -1, 0
Let f(r) = 81*r**4 + 471*r**3 + 529*r**2 - 141*r + 11. Let t(c) = c**3 - 4*c**2 - c + 1. Let u(v) = f(v) - 3*t(v). Factor u(z).
(z + 2)*(z + 4)*(9*z - 1)**2
Suppose 0 = 74*x - 66*x - 120. Let -4*j + 2*j + j + x*j**3 + 4*j - 21*j**3 - 3*j**2 = 0. Calculate j.
-1, 0, 1/2
Let a = -13259 - -13259. Let w(c) be the first derivative of -3/4*c**4 + 3/2*c**2 + a*c + 0*c**3 - 12. Factor w(m).
-3*m*(m - 1)*(m + 1)
Let t = -364 - -369. Let j(i) = -18*i**2 + 30*i + 4. Let f(z) = -22*z**2 + 31*z + 5. Let u(v) = t*j(v) - 4*f(v). Factor u(l).
-2*l*(l - 13)
Suppose 28865 - 68*o**3 - 28781 - 86*o**3 - 81*o**4 + 25*o**3 - 15*o**5 + 5*o + 139*o - 3*o**2 = 0. What is o?
-2, -7/5, -1, 1
Let v(o) = 11*o**2 - 12382*o - 6353046. Let u(p) = -4*p**2 + 4128*p + 2117682. Let g(b) = 17*u(b) + 6*v(b). What is f in g(f) = 0?
-1029
Let p(d) = -5. Let k(o) = o**2 - 20*o + 70. Let l(r) = 5*k(r) - 5*p(r). Factor l(f).
5*(f - 15)*(f - 5)
Factor 3/2*g**2 + 270 + 123/2*g.
3*(g + 5)*(g + 36)/2
Let p be (-8)/(-14)*(24 - (-9425)/(-400)). Factor p*t**5 - t**4 + 0 - 3/4*t + t**2 + 1/2*t**3.
t*(t - 3)*(t - 1)**2*(t + 1)/4
Suppose -362/15*o**2 + 2/15*o**4 + 116/15*o**3 + 0 + 244/15*o = 0. Calculate o.
-61, 0, 1, 2
Let x(d) = 3*d**3 + 9*d**2. Let l(p) = -270*p - 3*p**3 + 270*p + 0*p**3 - 7*p**2. Let o(b) = -4*l(b) - 3*x(b). Determine m, given that o(m) = 0.
-1/3, 0
Suppose 3*j - 4 = o, -3*o - 8 = -8*o + j. Suppose 2*y = t + 2, 5 = 4*t - o*y - 5. Factor 33*p + 5*p**t + 5*p**3 - 20 - 2*p**3 - 15*p**2 + 7*p - 13*p**3.
5*(p - 2)*(p - 1)**2*(p + 2)
Let v(f) be the second derivative of 729/8*f**2 + 1/3*f**4 + 0 - 36*f - 9*f**3. Find i, given that v(i) = 0.
27/4
Suppose -26 = -2*x - 2*y, 15*x + 22 = 17*x + 3*y. Factor 59*f - 4*f**3 + 48 - x*f**2 + 21*f**2 + 20*f**2 + 16*f**2 + 33*f.
-4*(f - 12)*(f + 1)**2
Determine r so that -255*r - 162/7*r**3 + 1608/7*r**2 - 504 - 24/7*r**4 + 3/7*r**5 = 0.
-8, -1, 3, 7
Let r(z) be the first derivative of 3*z**2 + 3*z + 3. Suppose 3*t = -19 + 28. Let p(w) = w**2 - 11*w - 5. Let k(u) = t*p(u) + 5*r(u). Let k(h) = 0. Calculate h.
0, 1
Let o = -13840 + 13844. Let z(v) be the third derivative of 1/300*v**5 + 0*v + 0*v**3 + 1/40*v**o + 20*v**2 + 0. Factor z(f).
f*(f + 3)/5
Suppose 5182 - 5208 = -13*l. Let c(p) be the second derivative of -6*p + 1/45*p**6 + 0*p**4 + 0*p**l + 1/75*p**5 + 0*p**3 + 1/105*p**7 + 0. Factor c(j).
2*j**3*(j + 1)*(3*j + 2)/15
Let x(h) = 2*h**2 + 7*h. Let w be (-2)/(4 - -2)*-9. Let j(u) = -3*u**2 - 13*u + 1. Let z(p) = w*j(p) + 5*x(p). Factor z(f).
(f - 3)*(f - 1)
Let i(w) = 42*w**4 + 34*w**3 + 17*w**2 - 30*w. Let f(t) = 4*t**4 + 2*t**3 + 3*t**2 - 2*t. Let q(r) = -18*f(r) + 2*i(r). Let q(a) = 0. Calculate a.
-3, -2/3, 0, 1
Let j(n) be the third derivative of n**6/132 + 43*n**5/330 - 139*n**4/66 + 104*n**3/33 + 272*n**2. Suppose j(c) = 0. What is c?
-13, 2/5, 4
Let g(m) be the first derivative of m**5/15 + 19*m**4/4 + 838*m**3/9 + 112*m**2 - 1568*m/3 - 207. Factor g(a).
(a - 1)*(a + 2)*(a + 28)**2/3
Let g = 410 - 402. Let p be (6/g)/((-21)/(-112)). Factor 0*a - 8/5*a**p + 4/5*a**3 + 3/5*a**5 + 0 + 0*a**2.
a**3*(a - 2)*(3*a - 2)/5
Let g(n) be the second derivative of -n**7/168 + 141*n**6/40 - 44519*n**5/80 - 45367*n**4/48 + 1855*n**3 + 5618*n**2 + 1188*n. Find p, given that g(p) = 0.
-1, 1, 212
Let f = 4308 + -4293. Let j(l) be the second derivative of 0*l**2 - f*l + 0 - 1/72*l**4 + 0*l**3. Factor j(q).
-q**2/6
Let i(h) = 88*h + 1144. Let m be i(-13). Let n(j) be the third derivative of 9/320*j**6 - 7*j**2 + 0 + 3/32*j**5 + 3/4*j**3 - 1/2*j**4 + m*j. Factor n(g).
3*(g + 3)*(3*g - 2)**2/8
Let l(f) be the third derivative of f**5/120 - 211*f**4/24 + 44521*f**3/12 - 1304*f**2. Find v, given that l(v) = 0.
211
Let y(g) be the third derivative of -g**8/112 - g**7/70 + g**6/8 + g**5/20 - g**4 + 2*g**3 - g**2 + 1425*g. Factor y(j).
-3*(j - 1)**3*(j + 2)**2
Let i(f) = -8*f**2 - 753*f - 605. Let r(t) = 4*t**2 + 369*t + 305. Let n(m) = -3*i(m) - 7*r(m). Factor n(l).
-4*(l + 1)*(l + 80)
Let d(p) be the second derivative of 3*p - 7/4*p**2 + 12 - 37/24*p**3 + 7/80*p**5 + 11/12*p**4. Find k, given that d(k) = 0.
-7, -2/7, 1
Let 2/13*d**3 + 186/13*d**2 - 24010/13 + 294*d = 0. Calculate d.
-49, 5
Let a = 21427 + -407099/19. Factor a*h - 8/19 + 72/19*h**2.
2*(4*h - 1)*(9*h + 4)/19
Let d be (58 + -46)/(0 + 10/117). Let s = 141 - d. Factor 3/5*i**3 - i**2 + 1/5*i**4 - s*i + 4/5.
(i - 1)**2*(i + 1)*(i + 4)/5
Let z = -9 - -5. Let c be -1*1*(z - 0). Suppose -2*d + 0*d**2 + c*d**2 - 2*d**3 + 0*d**2 = 0. Calculate d.
0, 1
Let y(v) be the first derivative of -3*v**5/20 + 285*v**4/16 + 3*v**3/4 - 861*v**2/8 + 285*v/2 + 2531. Determine o, given that y(o) = 0.
-2, 1, 95
Let f(g) be the first derivative of -3*g**4/28 + 92*g**3/7 + 561*g**2/14 + 282*g/7 - 531. Determine o so that f(o) = 0.
-1, 94
Let f(g) be the third derivative of -3*g**8/448 - g**7/420 + 27*g**6/160 - 3*g**5/40 - 29*g**4/24 - g**3 + 18*g**2 - 18*g. Determine m so that f(m) = 0.
-3, -1, -2/9, 2
Let q(w) be the first derivative of -w**5/45 + 11*w**4/18 - 13*w**2 - 4. Let y(d) be the second derivative of q(d). Factor y(m).
-4*m*(m - 11)/3
Let q(h) be the second derivative of h**5/120 + 7*h**4/48 - 27*h**2/2 - 30*h + 1. Let k(y) be the first derivative of q(y). Suppose k(z) = 0. Calculate z.
-7, 0
Let p(o) be the first derivative of 1/4*o**5 - 32 - 11/2*o**3 + 17*o + 3/2*o**4 + 5*o**2. Let q(u) be the first derivative of p(u). Factor q(g).
(g - 1)*(g + 5)*(5*g - 2)
What is b in -20606*b**2 - 1653*b + 82 + 10316*b**2 + 585*b + 10316*b**2 = 0?
1/13, 41
Let p(z) be the third derivative of 361/3*z**3 + 1/105*z**7 - 57*z**4 + 3/5*z**6 + 211*z**2 + 0 + 143/15*z**5 + 0*z. Find g such that p(g) = 0.
-19, 1
Let i(t) be the third derivative of -1/12*t**4 + 1/9*t**3 + 18*t**2 + 0*t + 0 - 1/360*t**6 + 1/40*t**5. Solve i(b) = 0.
1/2, 2
Let v(m) be the third derivative of -1/480*m**6 + 0 + 1/96*m**4 - 190*m**2 + 0*m + 7/80*m**5 - 7/8*m**3. Factor v(s).
-(s - 21)*(s - 1)*(s + 1)/4
Let m(f) be the first derivative of f**3/30 + 383*f**2/20 + 1131*f/5 + 15611. Determine k so that m(k) = 0.
-377, -6
Let y(r) = -5*r - 15. Suppose i + 0*i - 3*m + 20 = 0, -2*i + 5*m - 35 = 0. Let j be y(i). Factor -9*c**2 - 10*c**3 + 33*c**2 - 48 - 3*c**4 + j*c**3.
-3*(c - 2)**2*(c + 2)**2
Let z be ((-325)/(-455)*21)/(2 - 2/(-2)). Let -81/4*h**4 - 5/2*h**z + 79/4*h**3 + 0 + 0*h - 9/2*h**2 = 0. What is h?
-9, 0, 2/5, 1/2
Suppose -3222 = -56*q + 11*