 of -3/2*z**4 + 0*z - 9/20*z**5 + 19*z**2 - 2*z**3 + 0. Factor q(b).
-3*(3*b + 2)**2
Let z(i) be the third derivative of 0*i + 0 - 1/90*i**6 + 0*i**3 - 8*i**2 + 0*i**7 + 0*i**4 + 0*i**5 + 1/252*i**8. Factor z(c).
4*c**3*(c - 1)*(c + 1)/3
Let d(p) be the second derivative of -16*p**7/399 - 8*p**6/5 - 669*p**5/38 - 1139*p**4/114 + 56*p**3 + 1764*p**2/19 - 55*p + 2. Determine n so that d(n) = 0.
-14, -3/4, 1
Let o = -189 - -192. Let v(x) be the third derivative of 0 + 1/12*x**4 - 4*x**2 + 0*x + 0*x**o + 1/60*x**5. Factor v(l).
l*(l + 2)
Let f(k) be the second derivative of 0 - 5/12*k**4 + 0*k**3 + 0*k**2 + 1/4*k**5 + 6*k. Solve f(p) = 0.
0, 1
Let 546/5*y + 24843/5 + 3/5*y**2 = 0. What is y?
-91
Let z = -20/3 + 803/120. Let f(a) be the third derivative of 0*a**4 + z*a**6 + 0*a**3 + 0 - a**2 + 0*a + 1/10*a**5. Factor f(t).
3*t**2*(t + 2)
Suppose -g - g - 12 = 0. Let a = 11 + g. Determine w, given that 3*w**2 - 4*w - 2*w + 5*w**3 - 3*w**4 - w**3 - 3*w**5 + a*w**3 = 0.
-2, -1, 0, 1
Let d = 1297/6 - 2801/13. Let t = d + -1/26. Find p such that 2/3*p**3 + 0*p + t*p**2 - 2/3*p**4 + 0 - 2/3*p**5 = 0.
-1, 0, 1
Suppose -13 = 2*s + 5*j - 2*j, -3*s + 3*j - 12 = 0. Let d(b) = 20*b + 20. Let z(v) = v**2 - 20*v - 21. Let o(t) = s*d(t) - 4*z(t). Factor o(q).
-4*(q + 1)*(q + 4)
Let w = -12715 + 12718. Factor 9/2*g + 3/2*g**2 + w.
3*(g + 1)*(g + 2)/2
Let g(v) be the first derivative of -v**5/25 + 3*v**4/20 + v**3 + 17*v**2/10 + 6*v/5 - 614. Factor g(l).
-(l - 6)*(l + 1)**3/5
Find g such that -3/5*g**3 + 0 - 3*g**2 + 0*g = 0.
-5, 0
Let a(t) = 2*t**2 - 34*t - 1. Let d be a(17). Let o = d + 1. Determine g, given that -2*g**2 - 10/3*g**3 + 6*g + o - 2/3*g**4 = 0.
-3, 0, 1
What is y in -2/5*y**2 - 2312/5 - 136/5*y = 0?
-34
Factor -2/9*p**2 - 188/9*p - 4418/9.
-2*(p + 47)**2/9
Factor 1/5*c**2 - 22/5*c + 0.
c*(c - 22)/5
Let j be (3/3)/(21/(-312)). Let l = 108/7 + j. Suppose l*g**3 - 30/7*g**2 + 48/7*g + 32/7 = 0. Calculate g.
-1/2, 4
Let n(q) be the third derivative of 11*q**7/210 - 3*q**6/40 - 17*q**5/15 - q**4/2 + 4*q**2 - 72. Factor n(f).
f*(f - 3)*(f + 2)*(11*f + 2)
Let v = 14 + 5. Let h = v + -16. Find b such that h*b - 148*b**2 + b + 152*b**2 = 0.
-1, 0
Let z(m) be the first derivative of -4*m**5/5 + 33*m**4 - 340*m**3 - 578*m**2 + 191. What is x in z(x) = 0?
-1, 0, 17
Let a be (-78)/84*-304 - 0. Let f = -282 + a. Factor 6/7 + f*p**3 + 2/7*p**2 - 10/7*p.
2*(p - 1)**2*(p + 3)/7
Factor 8*t + 96*t - 36*t**2 - 3*t - 5*t - 80 + 4*t**3.
4*(t - 5)*(t - 2)**2
Let j(d) = d**3 + 4*d**2 - 3*d + 4. Let x be j(-4). Let t be (-9)/x*(1/(-3) - 1). Factor 3/4*m**2 + t*m**3 + 0 + 0*m.
3*m**2*(m + 1)/4
Let -10*u**2 + u - 2*u**2 + 23*u + 3*u**4 - 6*u**3 = 0. What is u?
-2, 0, 2
Let x(m) = 10*m - 31. Let u be x(-6). Let o = u - -95. Let -12/7*n**3 + 18/7*n**2 + 3/7 - 12/7*n + 3/7*n**o = 0. Calculate n.
1
Factor -10*s**2 + 3 - 161*s**3 - 11 + 211*s**3 - 32*s.
2*(s - 1)*(5*s + 2)**2
Let u = -841/4 - -871/4. Factor 3/4*k**2 + 75/4 + u*k.
3*(k + 5)**2/4
Let m = 1057/3 + -229. Let h = m - 123. Factor -h*i**2 + 0 + 1/3*i**3 + 0*i.
i**2*(i - 1)/3
Let u(q) be the third derivative of 2/9*q**3 + 0*q + 0 + 1/12*q**4 + 44*q**2 - 3/10*q**5. Suppose u(p) = 0. What is p?
-2/9, 1/3
Let w = 28/69 - 338/1173. Let t(j) be the first derivative of -3 - 3/34*j**4 - w*j**2 - 10/51*j**3 + 0*j. Factor t(l).
-2*l*(l + 1)*(3*l + 2)/17
Let v be (-2)/23 + 1000/150*(-180)/(-575). Factor 1/11*k**v - 2/11*k - 3/11.
(k - 3)*(k + 1)/11
Let y(a) be the first derivative of 1/54*a**4 - 1/27*a**3 - 1/135*a**6 + 1/90*a**5 + 0*a**2 - 9 + a. Let t(p) be the first derivative of y(p). Factor t(j).
-2*j*(j - 1)**2*(j + 1)/9
Let o(w) = 17*w**2 + 20*w + 6. Let m(y) = -3*y**2 - y - 1. Let v(t) = 6*m(t) + o(t). Factor v(j).
-j*(j - 14)
Let n(r) = -r + 10. Let s be n(7). Determine w, given that 0*w**2 - s*w - 3*w**2 + 24 - 6 = 0.
-3, 2
Suppose 3*b - 9 = 0, b = f + 2*f - 9. Let w(s) be the first derivative of 2*s**3 - 27*s + f*s**3 - 7*s**3 - 9*s**2 - 4. Let w(o) = 0. What is o?
-3
Let v(t) = t - 4. Let r be v(6). Let j(x) = x - 3. Let i be j(3). Find w, given that -2 + 4*w**2 + w - 5*w + i - 6*w**r = 0.
-1
Let x be 0/2*(-2)/16*-4. Factor 0*q - 1/8*q**3 + 1/4*q**2 + x.
-q**2*(q - 2)/8
Let z(m) be the third derivative of -m**8/672 - 9*m**7/35 - 81*m**6/5 - 1944*m**5/5 - 38*m**2. Determine g, given that z(g) = 0.
-36, 0
Let k(d) be the third derivative of d**7/126 - 3*d**6/8 + 25*d**5/9 + 80*d**4 + 2560*d**3/9 + d**2 + 574*d. What is w in k(w) = 0?
-4, -1, 16
Suppose 11*a - 2*a - 126 = 0. Let g be (a - 15)*(1 + -17). Solve -8 - 1/2*k**4 - 4*k**3 - g*k - 12*k**2 = 0.
-2
Let c = 16 - 12. What is i in -4*i**2 - 6*i**5 + i - 4 - 8*i**3 + 9*i + 8*i**c + 4*i**5 = 0?
-1, 1, 2
Suppose -x + 2 = 5*q - 8, 2*q - 4*x - 4 = 0. Let c**q - 407*c + 48 + 2*c**2 + 383*c + 0 = 0. Calculate c.
4
Suppose -87/2*f + 1/2*f**2 - 44 = 0. What is f?
-1, 88
Let z be (-2 + -1)*1 + 2. Let f(h) = -2*h. Let n be f(z). Suppose 3*r**3 - 7 - 2*r + 7*r**3 + 9 - 4*r**4 - 6*r**n = 0. What is r?
-1/2, 1
Suppose 32 = 3*o + 20. Let p(j) be the third derivative of 1/20*j**5 + 0*j - 1/70*j**7 + 1/40*j**6 + 0*j**3 + 4*j**2 - 1/8*j**o + 0. What is c in p(c) = 0?
-1, 0, 1
Let j(t) be the third derivative of t**6/24 - t**5/2 - 5*t**4/24 + 5*t**3 - 71*t**2 + 3*t. Solve j(h) = 0 for h.
-1, 1, 6
Factor 4*y**3 + 6*y**2 + 12 + 2*y**3 - 46299*y**4 - 22*y + 46297*y**4.
-2*(y - 3)*(y - 1)**2*(y + 2)
Let x(p) be the second derivative of -p**4/3 - 10*p**3 + 68*p**2 - 4*p - 29. Factor x(k).
-4*(k - 2)*(k + 17)
Let r(n) be the third derivative of -n**7/420 - 11*n**6/120 - 121*n**5/120 + 46*n**2 - 1. Factor r(q).
-q**2*(q + 11)**2/2
Let s be 1/((-9)/(-6) - 2). Let w be (-132)/(-21) - s/(-7). Factor -6*g**4 - 6*g**4 + 4*g**3 - 4*g**2 + w*g**3 + 2*g**3 + 4*g**5.
4*g**2*(g - 1)**3
Let k(c) be the third derivative of 25*c**8/252 - 2*c**7/9 - 67*c**6/45 + 58*c**5/45 + 253*c**4/18 + 242*c**3/9 - 12*c**2 - 10*c. Find p such that k(p) = 0.
-1, 11/5
Let q be (4 + (-246)/60)*(2 + -4). Let g(a) be the first derivative of -a + 5 + 2/3*a**3 - q*a**5 + 1/6*a**6 + 1/2*a**2 - 1/2*a**4. Let g(v) = 0. What is v?
-1, 1
Let a(y) = y + 11. Let c be a(-5). Let i be c/(-9*4/(-24)). Factor -3*z**2 + 6*z**2 - 4*z**i + z + 7*z - 8*z**3 + z**2.
-4*z*(z - 1)*(z + 1)*(z + 2)
Let i(c) be the third derivative of c**6/120 + c**5/4 + 9*c**4/8 + 13*c**3/6 + 3*c**2. Let i(b) = 0. Calculate b.
-13, -1
Let w = 180 + -164. What is l in w - 102*l - 4*l**2 - 99*l + 189*l = 0?
-4, 1
Let v = -1 + 2. Let k(o) = 4*o - 3*o + 0*o - o**2. Let q(l) = -l + 1. Let f(z) = v*k(z) - q(z). Factor f(x).
-(x - 1)**2
Let 601 + 30*s + 3*s**2 + 10*s + 266 + 62*s = 0. Calculate s.
-17
Let m(r) = 3*r**5 + 22*r**4 + 28*r**3 + 20*r**2. Let b(i) = -6*i**5 - 45*i**4 - 54*i**3 - 39*i**2. Let g(c) = 4*b(c) + 9*m(c). Determine h so that g(h) = 0.
-2, 0
Let i = 961 + -961. Let q(v) be the third derivative of 1/420*v**7 + i + 0*v + 1/12*v**4 + 1/60*v**6 - 8*v**2 + 1/20*v**5 + 1/12*v**3. Factor q(w).
(w + 1)**4/2
Let q(r) be the first derivative of 55/3*r**3 + 3 + 5/2*r**4 - 180*r - 30*r**2 - r**5. Find l such that q(l) = 0.
-2, 3
Suppose 5*a + 27 = 3*y + 2*a, 3*a = 9. Suppose 9 = -h + y. Factor -w**3 - 6*w**5 + 3*w - 4*w - 2*w**2 + w**4 + 1 + 5*w**5 + 3*w**h.
-(w - 1)**3*(w + 1)**2
Let t(l) be the second derivative of 16*l + 0*l**5 + 0*l**2 + 0*l**3 + 1/45*l**6 + 0 - 1/18*l**4. Factor t(u).
2*u**2*(u - 1)*(u + 1)/3
Let b(i) be the second derivative of -i**7/105 - i**6/15 - 255*i. Factor b(q).
-2*q**4*(q + 5)/5
Let y(d) be the third derivative of -d**7/840 + 13*d**6/480 - d**5/20 - 319*d**2. Factor y(o).
-o**2*(o - 12)*(o - 1)/4
Factor 2*v**3 + 22828*v**4 - 8*v**2 - 22826*v**4 - 16*v**2.
2*v**2*(v - 3)*(v + 4)
Let t(c) = 7*c**3 - 15*c**2 - 26*c - 9. Let r(z) = -6*z**3 + 15*z**2 + 27*z + 12. Let h(w) = -5*r(w) - 6*t(w). Factor h(n).
-3*(n - 2)*(n + 1)*(4*n - 1)
Let j be (-2)/(-18)*378/9. What is g in -2/3*g**3 + 10/3*g**2 + 2 - j*g = 0?
1, 3
Let r(h) be the third derivative of 32/9*h**3 + 0*h - 1/504*h**8 + 8/9*h**5 - 2/9*h**6 + 7*h**2 + 2/63*h**7 - 20/9*h**4 + 0. Let r(a) = 0. Calculate a.
2
What is a in 20*a**2 + 49 + 17*a + a**3 + 31 + 4*a**3 - 50 - 72*a = 0?
-6, 1
Let g(s) be the first derivative of -s**4 + 4*s**3 + 18*s**2 - 108*s + 159. Factor g(o).
-4*(o 