(c - 1)**4*(c + 2)/3
Let d(t) be the third derivative of 1/75*t**5 - 4/5*t**4 + 46/15*t**3 + 0*t - 62*t**2 + 0. Find k such that d(k) = 0.
1, 23
Let p = -54349/3 - -18119. Suppose 16*z**2 + p*z**3 - 4/3*z**5 - 16/3*z**4 + 0 - 12*z = 0. What is z?
-3, 0, 1
Let m(r) be the second derivative of r**4/60 - 7*r**3/30 - 49*r**2/5 - 218*r + 4. Factor m(x).
(x - 14)*(x + 7)/5
Let i(l) be the third derivative of l**5/30 - 55*l**4/12 + 700*l**3/3 + 2*l**2 - 228*l. Suppose i(v) = 0. What is v?
20, 35
Let h(y) be the second derivative of -24/7*y**2 + 3 - 13/21*y**4 - 1/70*y**5 - 7/3*y**3 - 8*y. What is j in h(j) = 0?
-24, -1
Let r(o) = -16*o**3 - 9876*o**2 + 10072*o - 10. Let i(d) = -5*d**3 - 3298*d**2 + 3357*d - 3. Let z(m) = 20*i(m) - 6*r(m). Factor z(k).
-4*k*(k - 1)*(k + 1677)
Let k(y) be the second derivative of -y**5/60 + 43*y**4/36 - 161*y**3/6 + 147*y**2/2 + 797*y. Factor k(f).
-(f - 21)**2*(f - 1)/3
Suppose -4*w = -2*g + 90, w + 20 = -g - 4. Let t = w + 47. Factor 125 + 10*c + 8*c**4 - t*c**2 - 131 + 6*c**3 - 3*c**5 + 11*c - 2*c**4.
-3*(c - 1)**4*(c + 2)
Let w(i) be the first derivative of -5*i**3/12 + 225*i**2/8 + 180*i - 1652. Let w(d) = 0. What is d?
-3, 48
Let x(f) be the second derivative of 0*f**2 + 5/42*f**7 + 3/4*f**5 - 10/3*f**3 - 5/6*f**6 - f + 25/12*f**4 + 30. Find b such that x(b) = 0.
-1, 0, 1, 4
Let t(q) be the third derivative of 12*q**7/245 + 16*q**6/5 + 7141*q**5/210 + 2269*q**4/84 + 62*q**3/7 - 44*q**2 + q + 9. Determine l, given that t(l) = 0.
-31, -6, -1/6
Let z = 882 + -869. Let 16*t**3 + 48*t**4 - 150*t**3 - 3*t**5 + 246*t**2 + 0*t**4 + z*t**3 - 107*t**3 + 231*t - 294 = 0. Calculate t.
-1, 1, 2, 7
Let j(o) be the third derivative of o**8/784 - o**7/490 + 293*o**2. Factor j(f).
3*f**4*(f - 1)/7
Suppose -3*s + 1 = -2*b, 4*b - 3*s + 17 = 6*b. Let 18*q + 2*q**2 - 3*q**2 + 11*q**2 - 2*q**3 + 10 - b*q**2 = 0. Calculate q.
-1, 5
Let h(q) be the first derivative of 2*q**5/5 + 10*q**4 + 22*q**3 - 54*q**2 + 3980. Find i, given that h(i) = 0.
-18, -3, 0, 1
Let q be ((-810)/126 + 6)*(0 + 7/(-12)). Solve q*v**5 + 0*v - 1/4*v**3 - 1/2*v**4 + 1/2*v**2 + 0 = 0 for v.
-1, 0, 1, 2
Let s be ((-11)/(-110))/((-1)/(-8)). Let y = 187/475 + 3/475. Determine n so that y*n**2 + s*n + 2/5 = 0.
-1
Let d = 1117/7176 + -1/552. Let g be 2*(99/5 - 20) + ((-101)/(-65) - 1). Factor -g*u + 12/13 - d*u**2.
-2*(u - 2)*(u + 3)/13
Let a = -401 + 408. Let l be 4/a - (-42)/(-147). Factor 10/7*i**2 + l*i**4 + 0 - 4/7*i - 8/7*i**3.
2*i*(i - 2)*(i - 1)**2/7
Let o be (-5 - -10)*(-814)/(-6105). Solve -4*v**2 + o*v**4 + 8/3*v**3 - 8/3*v + 10/3 = 0.
-5, -1, 1
Suppose 2*y - 15*i - 33 = -10*i, -2*i = -5*y + 30. Find b such that -19/4*b - 7/2*b**3 - 5/4 - 13/2*b**2 + 1/4*b**5 - 1/4*b**y = 0.
-1, 5
Let p be (-5)/(-100)*15 + (5 - 458/80). Let c(x) be the third derivative of 0*x + 1/10*x**5 + 0 + 0*x**3 + 0*x**4 + 4*x**2 + p*x**6. Factor c(j).
3*j**2*(j + 2)
Factor 102/5*f**3 - 138/5*f**2 - 33/5*f**4 + 3/5*f**5 + 87/5*f - 21/5.
3*(f - 7)*(f - 1)**4/5
Let c(a) be the first derivative of a**6/2700 - 4*a**5/225 + 7*a**4/45 + 37*a**3/3 + 3*a - 158. Let v(h) be the third derivative of c(h). Factor v(w).
2*(w - 14)*(w - 2)/15
Find y, given that 4*y + 7/5*y**3 + 0 - 1/5*y**4 + 28/5*y**2 = 0.
-2, -1, 0, 10
Let r(v) be the second derivative of -v**4/66 - 51*v**3/11 - 4*v + 240. Factor r(n).
-2*n*(n + 153)/11
What is c in 3/5*c**2 + 138/5*c - 21/5*c**3 - 24 = 0?
-20/7, 1, 2
Let r(h) = -20*h**2 + 776*h + 37636. Let v(o) = o**2. Let u(f) = -f + 3. Let b be u(4). Let k(l) = b*r(l) - 24*v(l). Let k(j) = 0. What is j?
-97
Let d(t) = t**2 - 13. Let j be d(4). Let s be 16/56 - (-68)/595. Solve 0 + s*i + 1/5*i**j + 3/5*i**2 = 0.
-2, -1, 0
Let z = -7 - -11. Suppose -r - 17 = -2*n - 6, 2*n - z*r - 26 = 0. Determine p, given that -164*p**2 + 23 + 13 - 48*p - n*p**3 + 185*p**2 = 0.
2, 3
Let d(o) = -14*o**4 - 46*o**3 - 34*o**2 + 62*o + 8. Let i(b) = -5*b**4 - 16*b**3 - 12*b**2 + 21*b + 3. Let r(m) = 3*d(m) - 8*i(m). Let r(t) = 0. Calculate t.
-3, 0, 1
Let f(p) be the second derivative of 23*p + 0*p**3 + 0 - 1/6*p**5 - 2/9*p**4 + 0*p**2 - 1/45*p**6. Factor f(a).
-2*a**2*(a + 1)*(a + 4)/3
Let v be 1 - 1755/(-2)*(-208)/(-408). Let x = v + -448. Factor 4/17 + x*b + 2/17*b**2.
2*(b + 1)*(b + 2)/17
Let f(y) = -371 + 378 + y + 2*y + 12*y**2 - 2*y**2. Let d(m) = 5*m**2 + 2*m + 3. Let v(q) = -7*d(q) + 3*f(q). Factor v(x).
-5*x*(x + 1)
Let 32/3*k**3 - 2/3*k**4 - 1/3*k**5 + 0 + 0*k + 32*k**2 = 0. Calculate k.
-4, 0, 6
Let h(k) be the first derivative of -4*k**3/3 + 92*k**2 - 1332*k - 10165. Factor h(n).
-4*(n - 37)*(n - 9)
What is r in -8/3*r + 41/3*r**4 + 2*r**3 + 13/3*r**5 + 0 - 52/3*r**2 = 0?
-2, -2/13, 0, 1
Let a(v) be the third derivative of -v**5/12 - 115*v**4/4 - 975*v**2. Suppose a(y) = 0. Calculate y.
-138, 0
Factor 1/7*q**4 - 4*q**2 + 26/7*q + 27/7 - 26/7*q**3.
(q - 27)*(q - 1)*(q + 1)**2/7
Let k(l) = 29*l**2 - 848*l. Let h(s) = 95*s**2 - 2555*s. Let d(m) = -3*h(m) + 10*k(m). Factor d(w).
5*w*(w - 163)
Let v = -37998/13 + 2923. Let g(q) be the first derivative of v*q**2 + 15 - 2/65*q**5 - 4/13*q + 2/13*q**3 - 1/26*q**4. What is b in g(b) = 0?
-2, -1, 1
Let h be (((-135)/(-70))/(-27))/((-1)/(-4))*-8. Factor h + 4/7*s**2 - 20/7*s.
4*(s - 4)*(s - 1)/7
Find a such that -7 - 22*a**2 - 107/5*a - 38/5*a**3 + 1/5*a**5 + 1/5*a**4 = 0.
-5, -1, 7
Let g(i) be the first derivative of i**6/540 - 13*i**5/15 + 169*i**4 - 227*i**3/3 - 157. Let y(c) be the third derivative of g(c). Find m such that y(m) = 0.
78
Let r be 0/(-6)*24/48. Let i(t) be the third derivative of 0*t + 1/120*t**6 - 1/210*t**7 + 1/60*t**5 + 21*t**2 + 0 - 1/24*t**4 + r*t**3. Factor i(d).
-d*(d - 1)**2*(d + 1)
Let u(l) = -44*l**3 - 11638*l**2 + 23330*l - 11778. Let m(b) = 5*b**3 + 1293*b**2 - 2592*b + 1309. Let i(n) = 52*m(n) + 6*u(n). Determine r so that i(r) = 0.
-650, 1
Let a = 1735112/15 - 115674. Factor -16/15*x + 4/15*x**3 + 0 - 8/15*x**2 + a*x**4.
2*x*(x - 2)*(x + 2)**2/15
Let p(q) be the first derivative of q**6/15 + 10*q**5/3 + 43*q**4/3 + 184*q**3/9 + 152*q**2/15 - 15153. Find l such that p(l) = 0.
-38, -2, -1, -2/3, 0
Let j be (-2)/5 - 5248/(-13120). Let r be (-18)/(-4) - (-1)/(-2). Factor -4/7*c**2 + 2/7*c**3 + 2/7*c**r + j*c + 0.
2*c**2*(c - 1)*(c + 2)/7
Solve 13/11*y**4 + 5*y**3 - 36/11*y + 75/11*y**2 + 1/11*y**5 - 108/11 = 0.
-6, -3, -2, 1
Factor 1/5*i**3 - 304/5*i + 0 - 6*i**2.
i*(i - 38)*(i + 8)/5
Suppose 40427*k = 40431*k + 2*i + 4, -k = 4*i + 22. Factor 1/7*s**3 - 38/7 - 75/7*s - 36/7*s**k.
(s - 38)*(s + 1)**2/7
Let f(r) be the first derivative of 2/5*r**5 - 13*r**2 + 8*r - 43 + 10*r**3 - 7/2*r**4. Factor f(s).
2*(s - 4)*(s - 1)**3
Let r be -1 + -9 - (-13 + 12). Let d be 12/r - ((-206)/24 - -7). Find w, given that -d*w + 1/4*w**2 + 0 = 0.
0, 1
Factor -1/3*u**5 + 95*u**3 + 0 + 284/3*u**4 + 0*u + 0*u**2.
-u**3*(u - 285)*(u + 1)/3
Let w be (5/(-21))/(-1) - (-112)/(-672). Let l(a) be the first derivative of -1/35*a**5 - 2/7*a + 11 + w*a**2 + 1/7*a**3 - 1/28*a**4. Factor l(o).
-(o - 1)**2*(o + 1)*(o + 2)/7
Suppose 5*x = -4*n + 41, -4*n + 16 = 3*x - 15. Factor -7*z**2 - 5*z**3 - 5*z**2 + 2*z**3 + 12*z + 13*z**4 - 10*z**n.
3*z*(z - 2)*(z - 1)*(z + 2)
Let k(v) be the third derivative of -v**7/2940 - v**6/1260 + v**5/420 + v**4/84 - 11*v**3/6 - 51*v**2. Let t(r) be the first derivative of k(r). Factor t(n).
-2*(n - 1)*(n + 1)**2/7
Let y(g) be the first derivative of 0*g**2 + 2/15*g**6 - 3/5*g**5 - 1/3*g**4 + 11 + 2*g**3 + 9*g. Let h(k) be the first derivative of y(k). Factor h(u).
4*u*(u - 3)*(u - 1)*(u + 1)
Let k be (-58)/(-10) + (-5390)/1925. Let c(r) be the second derivative of -5*r**2 + 5/2*r**3 + 0 - k*r - 1/4*r**5 + 0*r**4. Find d such that c(d) = 0.
-2, 1
Let s(g) be the second derivative of 13*g**4/54 - 80*g**3/27 + 4*g**2/3 + 850*g. What is u in s(u) = 0?
2/13, 6
Factor 37446*w + 75*w**3 - 81*w**3 + 8*w**3 - 474*w**2 - 986078.
2*(w - 79)**3
Let i(a) be the first derivative of 243*a**5/5 + 945*a**4/4 - 44*a**3 - 46*a**2 + 16*a - 2448. Factor i(m).
(m + 4)*(3*m + 1)*(9*m - 2)**2
Factor -94*f + 60 - 2*f**3 + 145*f**2 + 114*f**2 + 119*f**2 - 342*f**2.
-2*(f - 15)*(f - 2)*(f - 1)
Let f(s) = 11*s**4 - 83*s**3 + 420*s**2 - 877*s + 637. Let h(u) = 31*u**4 - 248*u**3 + 1260*u**2 - 2632*u + 1912. Let g(l) = 8*f(l) - 3*h(l). Factor g(a).