*z**3 - 4/7*z + 0 + 10/7*z**4 + 2*z**2.
-2*z*(z - 2)*(z - 1)**3/7
Let w(b) be the third derivative of 4 + 0*b + 7/30*b**5 + 1/2*b**4 + 0*b**3 - 5*b**2 + 1/60*b**6. Factor w(r).
2*r*(r + 1)*(r + 6)
Solve -104/7*l - 36*l**2 + 0 + 20/7*l**3 = 0 for l.
-2/5, 0, 13
Let v(d) = -4*d**4 + 78*d**3 + 164*d**2 + 6*d - 92. Let l(k) = k**4 + 2*k**3 + k**2 + k - 1. Let s(b) = 8*l(b) - v(b). Determine o so that s(o) = 0.
-3/2, -1, 2/3, 7
Solve 129*m**2 - 125*m**2 + 68*m - 252 + 372 = 0.
-15, -2
Let k(j) = 2*j**2 + 74*j + 2. Let f be k(-37). Let s(g) be the first derivative of -1/16*g**4 + 0*g**f - 24 + 1/4*g**3 + 0*g. Factor s(t).
-t**2*(t - 3)/4
Let x(c) = -2*c - 1. Let z(s) = s**2 + 90*s + 276. Let t(o) = 6*x(o) - 2*z(o). What is p in t(p) = 0?
-93, -3
Let r(d) = 9*d**3 + 124*d**2 + 757*d + 650. Let a(f) = 10*f**3 + 125*f**2 + 755*f + 650. Let l(x) = 4*a(x) - 5*r(x). Determine h, given that l(h) = 0.
-13, -10, -1
Let a be (-11684)/(-828) + (-1 - 13). Let f(c) be the first derivative of -1/27*c**3 - a*c - 8 + 1/9*c**2. Let f(w) = 0. Calculate w.
1
Let a(f) be the second derivative of 2 - 13/2*f**3 - 9*f**2 + 112*f + 2*f**4. Factor a(r).
3*(r - 2)*(8*r + 3)
Suppose 2002*q - 726*q - 2552 = 0. Factor 0 - 2/5*z**4 - 2*z**q - 4/5*z - 8/5*z**3.
-2*z*(z + 1)**2*(z + 2)/5
Let i(x) be the first derivative of x**6/12 - x**5/2 - x**4/2 + 22*x**3/3 - 12*x**2 - 191. Factor i(s).
s*(s - 4)*(s - 2)**2*(s + 3)/2
Let t be 184/(-46) - (7 + -7 - 11*1). Let v(g) be the first derivative of -9/4*g**4 - 4*g - 8*g**2 + 32 - t*g**3. Factor v(b).
-(b + 1)*(3*b + 2)**2
Let b = 5031 + -5031. Let p(s) be the second derivative of 1/6*s**4 + 1/10*s**5 - 10/3*s**3 + 8*s**2 - 30*s + b. Factor p(j).
2*(j - 2)*(j - 1)*(j + 4)
Let m(c) be the second derivative of -c**7/42 - 2*c**6/3 - 7*c**5/4 + 5*c**4/3 + 6*c**3 - 61*c + 17. Let m(s) = 0. What is s?
-18, -2, -1, 0, 1
Let w(j) be the second derivative of -j**6/12 - 31*j**5/8 - 525*j**4/8 - 6625*j**3/12 - 2500*j**2 - 9*j. Factor w(m).
-5*(m + 5)**3*(m + 16)/2
Suppose -297*r + 168*r = -387. Find a, given that -484/5*a + 0 + 88/5*a**2 - 4/5*a**r = 0.
0, 11
Suppose 841897*v**3 - 3093*v**4 - 808897*v**3 - 44277*v**2 + 4332 + 78*v**5 + 3819*v - 25935*v = 0. What is v?
-1/2, 2/13, 2, 19
Let f = 3 - -2. Factor f*p**5 + 14*p**2 - 2*p**5 + 19*p**4 + 40*p**2 - p**4 + 9*p - 24*p**2 + 36*p**3.
3*p*(p + 1)**3*(p + 3)
Let n(x) = -11*x**4 + 770*x**3 - 33902*x**2 + 328008*x - 907383. Let p(s) = -2*s**4 + s**2 - 4*s - 1. Let b(a) = -n(a) + 3*p(a). Find f, given that b(f) = 0.
6, 71
Factor -609284*n**3 - 3*n**4 - 84*n + 609251*n**3 + 6*n**4 + 96*n**2.
3*n*(n - 7)*(n - 2)**2
Suppose 9*j - 37*j + j**2 + 12*j + 23*j + 12*j + 70 = 0. Calculate j.
-14, -5
Let o(x) be the third derivative of x**8/3360 + x**7/84 + 61*x**3/2 + 7*x**2 + 5*x. Let j(g) be the first derivative of o(g). Determine c so that j(c) = 0.
-20, 0
Let w = -1306450 - -9161148/7. Let m = -2274 + w. Factor -m*l + 32/7 + 2/7*l**4 - 20/7*l**3 + 66/7*l**2.
2*(l - 4)**2*(l - 1)**2/7
Let p(q) be the third derivative of -q**6/600 + q**5/40 + 38*q**3/3 - 6*q**2 + 4*q. Let f(v) be the first derivative of p(v). Factor f(a).
-3*a*(a - 5)/5
Let n be 8/12*(-21)/(-2). Suppose g + 2 = s, -n*s + 3*s + 10 = -3*g. Suppose 8/3 - 56/3*w**s - 8*w**2 + 100/3*w**3 - 28/3*w = 0. Calculate w.
-1/2, 2/7, 1
Let p(q) be the third derivative of -q**7/42 - 7*q**6/24 - q**5 + 820*q**2. Determine d, given that p(d) = 0.
-4, -3, 0
Let y(b) be the third derivative of -b**6/24 - 831*b**5/2 - 3452805*b**4/2 - 3825707940*b**3 - 5661*b**2. Factor y(h).
-5*(h + 1662)**3
Let w(i) be the first derivative of 2*i**3/3 - 194*i**2 + 18818*i + 881. Factor w(u).
2*(u - 97)**2
Let v be 12*1*(5 - 13/3). Factor v - 11*m**2 + 6*m + 20*m**2 - 11*m**2.
-2*(m - 4)*(m + 1)
Factor -1712*z + 120*z**2 - 45*z**2 - 183184 - 34*z**2 - 45*z**2.
-4*(z + 214)**2
Let k(l) be the third derivative of 2*l + 0 + 1/60*l**5 - 7/8*l**4 + 7*l**2 + 10/3*l**3. Factor k(o).
(o - 20)*(o - 1)
Let j be 7*(-5 + (-369)/(-63)). Factor 7*p**5 + p**2 + 2*p**5 - p**4 + 3*p**5 - j*p**5 - 2*p**3 - 4*p**5.
p**2*(p - 1)*(p + 1)*(2*p - 1)
Let c(i) = -i**3 + 6*i**2 + i. Let x(v) = -4*v**3 - 362*v**2 - 366*v + 744. Let n(d) = -2*c(d) + x(d). Factor n(k).
-2*(k - 1)*(k + 2)*(k + 186)
Let a(z) = -z**2 + 306*z + 25878. Let r be a(-69). Find v, given that -4/15*v**2 + 2/3*v - 2/15*v**r + 4/5 = 0.
-3, -1, 2
Let t(q) be the second derivative of -q**4/36 + 128*q**2/3 + 206*q + 4. Solve t(v) = 0 for v.
-16, 16
Factor -481633/2*m**2 - 242208 + 695*m**3 - 483720*m - 1/2*m**4.
-(m - 696)**2*(m + 1)**2/2
Suppose -141 = 44*m - 229. Let y(o) be the second derivative of 0*o**2 - 1/48*o**4 - 1/8*o**3 - m*o + 0. Factor y(w).
-w*(w + 3)/4
Let a(q) be the second derivative of -q**4/24 - q**3/2 + 7*q**2/4 + 5*q - 14. Solve a(w) = 0.
-7, 1
Let i = -17 - -28. Suppose -i = x - 10. Let p(z) = -z**5 - z. Let u(m) = -3*m**5 + 5*m**3 + 2*m. Let q(j) = x*u(j) - 2*p(j). Let q(f) = 0. Calculate f.
-1, 0, 1
Let j(m) be the third derivative of m**6/320 + 145*m**5/32 + 16471*m**4/8 + 32761*m**3/4 + 156*m**2 + 3*m. Determine q so that j(q) = 0.
-362, -1
Determine n so that 1/10*n**4 - 3/10*n**3 - 1/10*n**2 + 3/10*n + 0 = 0.
-1, 0, 1, 3
Let b = 12 - 12. Let a be 82/41 - ((b - -2) + -3). Factor 3/2*d**4 + 3/2*d**a - 3/2*d**2 - 3/2*d + 0.
3*d*(d - 1)*(d + 1)**2/2
Let t(y) be the second derivative of 3*y**7/7 + 7*y**6/10 + 3*y**5/10 + 690*y. Factor t(s).
3*s**3*(2*s + 1)*(3*s + 2)
Let r be (-27)/15*(15 - (-9486)/(-630))*50. Suppose 2/7*h**2 + r + 18/7*h = 0. What is h?
-6, -3
Let r(m) be the third derivative of -m**8/1008 + 4*m**7/315 - m**6/30 - 5*m**2 + 7*m - 10. Factor r(o).
-o**3*(o - 6)*(o - 2)/3
Find s such that -25*s**4 + 426*s - 98 - 17857*s**3 + 18119*s**3 - 622*s + 45*s**4 - 714*s + 726*s**2 = 0.
-7, -1/10, 1
What is h in 50 - 13*h - 505*h**3 - 117*h - 2*h**5 + 92*h**2 - 14*h**4 + 509*h**3 = 0?
-5, 1
Let l(g) = -105*g**3 + 8928*g**2 - 191673*g - 55506. Let z(t) = 21*t**3 - 1786*t**2 + 38334*t + 11101. Let p(m) = 7*l(m) + 36*z(m). Suppose p(y) = 0. What is y?
-2/7, 43
Let l(d) be the third derivative of -d**5/510 + 121*d**4/102 - 14641*d**3/51 - 208*d**2 - 4*d. What is m in l(m) = 0?
121
Let i be (70/7)/((-173)/(-10) + (-36)/(-180)). Suppose -8/7*d**2 - i*d + 0 = 0. What is d?
-1/2, 0
Let g(b) be the third derivative of -b**7/70 - b**6/5 + 129*b**5/20 + 245*b**4/2 - 550*b**3 + b**2 - 2036*b. Determine i so that g(i) = 0.
-10, 1, 11
Let y(k) = -k**2 - k + 3. Let v(a) = -16*a**2 + 4*a + 149. Let f(h) = 3*v(h) - 51*y(h). What is d in f(d) = 0?
-14, -7
Let o(h) be the second derivative of -h**6/6 + 31*h**5/4 - 250*h**4/3 + 920*h**3/3 + 1805*h. Determine l so that o(l) = 0.
0, 4, 23
Factor 51*b + 2*b**2 + 25*b**3 + 108 + 33*b**3 - 120*b**3 + 35*b**3 + 26*b**3.
-(b - 9)*(b + 3)*(b + 4)
Let g(b) be the first derivative of b**4/2 - 2*b**3 - 550*b**2 - 12500. Factor g(t).
2*t*(t - 25)*(t + 22)
Let g(b) be the first derivative of 2*b**3/21 + 360*b**2/7 - 1448*b/7 - 903. Factor g(s).
2*(s - 2)*(s + 362)/7
Let u(f) be the second derivative of -f**6/5 + 22*f**5/5 - 175*f**4/6 + 206*f**3/3 - 72*f**2 - 2*f - 159. Suppose u(q) = 0. Calculate q.
2/3, 1, 4, 9
Suppose f - 4*h = -42 + 95, -4*f + 4*h + 68 = 0. Let 112/3*n**2 + 26*n**3 + 49/3*n + 16/3*n**4 + 1/3*n**f + 0 = 0. Calculate n.
-7, -1, 0
Let m(l) be the third derivative of l**6/600 - 7*l**4/40 - 2*l**3/3 + 1732*l**2. Factor m(q).
(q - 5)*(q + 1)*(q + 4)/5
Suppose 15*w + 442 = 14*w + p, 0 = 4*w + 5*p + 1741. Let i = w + 881/2. Let 1/2 - i*h**5 + 5/4*h**2 - 9/4*h - 7/4*h**4 + 15/4*h**3 = 0. What is h?
-2, -1, 1/3, 1/2, 1
Factor 15*p**2 + 3*p**3 - 10*p**3 + 237*p - 2*p**3 - 246*p + 2*p**3 + p**4.
p*(p - 3)**2*(p - 1)
Let z = 105/4 - 711/28. Let x(u) = 522*u + 23494. Let o be x(-45). Factor -3/7*a**o + 15/7*a**2 - 3/7*a**5 + 0 + z*a + 9/7*a**3.
-3*a*(a - 2)*(a + 1)**3/7
Solve -61*a - 50*a**2 + 164 + 29*a**2 - 19*a + 20*a**2 = 0 for a.
-82, 2
Suppose 4 = -t - 2. Let m(v) = -v**2 + 2*v. Let l(d) be the second derivative of -d**4/2 + 2*d**3 - 703*d + 2. Let f(o) = t*l(o) + 34*m(o). Factor f(h).
2*h*(h - 2)
Suppose -331*o + 323*o + 32 = 0. Suppose 5*l + 4*q + 16 = 32, -4*l + q - o = 0. Determine p, given that l - 2/3*p + 2/3*p**2 = 0.
0, 1
Let u(v) be the first derivative of v**5/20