2 + 1/(-1)*-5. Let f be (-34)/(-10) - 4/10. Factor 2*r**f - r**u - 2*r**3.
-r**3
Let s = -33658/3 - -11327. Let j = s - 106. Factor j*w**4 + 1/3*w**2 + 8/3*w**3 + 0 - 2/3*w.
w*(w + 1)**2*(5*w - 2)/3
Factor -165 - 8*l**2 + 40 + 3*l**2 - 50*l.
-5*(l + 5)**2
Let f be (2/2)/(19 - 3). Let r(c) be the third derivative of -1/6*c**3 + 1/24*c**5 + f*c**4 + 0 + 0*c - 3*c**2. Factor r(z).
(z + 1)*(5*z - 2)/2
Let c(m) = -2*m**4 + 6*m**3 + 2*m**2 - 2*m + 4. Let y(j) = -j**4 + 6*j**3 + j**2 - 3*j + 3. Let x(k) = -3*c(k) + 4*y(k). Solve x(h) = 0.
-3, -1, 0, 1
Let l(o) be the second derivative of -o**7/77 - o**6/165 + o**5/22 + o**4/66 - 2*o**3/33 + 13*o. What is x in l(x) = 0?
-1, 0, 2/3, 1
Let m(a) be the third derivative of a**7/840 + a**6/240 - a**5/20 + a**4/8 + 2*a**2. Let s(l) be the second derivative of m(l). Factor s(j).
3*(j - 1)*(j + 2)
Let z(f) = 0 - 5 + 3*f + 4. Let o be z(1). Solve m**2 - 2*m**2 + o*m**2 - m**5 - 3*m**3 + 3*m**4 = 0 for m.
0, 1
Let a = 9 - 0. Let j be 87/27 + (-2)/a. Factor -2*n**5 + 5*n**3 - 4*n**4 - j*n**3 + 4*n**5.
2*n**3*(n - 1)**2
Let h be ((-4)/(-32))/(17/34). Factor 0*v - h*v**2 + 1/4.
-(v - 1)*(v + 1)/4
Let i(q) be the third derivative of 7/90*q**5 + 0*q + 1/60*q**6 + 1/9*q**3 + 0 + 5/36*q**4 - 2*q**2. Determine x so that i(x) = 0.
-1, -1/3
Let i = -43 + 46. Determine r, given that -3/2*r**i - 3/2*r**2 + 3/2*r + 3/2 = 0.
-1, 1
Let u(j) be the first derivative of j**3/3 - j + 6. Factor u(i).
(i - 1)*(i + 1)
Let r(s) be the first derivative of s**4/18 + 4*s**3/27 - 4*s**2/9 - 16*s/9 - 3. Factor r(c).
2*(c - 2)*(c + 2)**2/9
Let h(d) be the third derivative of -d**8/112 - d**7/70 + 3*d**6/40 + d**5/4 + d**4/4 - 14*d**2. What is n in h(n) = 0?
-1, 0, 2
Let b(d) be the second derivative of -1/45*d**6 + 1/6*d**4 - 1/9*d**3 + 2*d + 1/30*d**5 - 2/3*d**2 + 0. Let b(a) = 0. Calculate a.
-1, 1, 2
Let u be (-2 - -1)*0/2. Suppose u*n = -2*n. Solve n*y + y**3 + y**4 - y + 0*y**2 - y**2 = 0 for y.
-1, 0, 1
Factor 197 - 197 + 4*s**3.
4*s**3
Let d(s) be the third derivative of 0 + 6/5*s**5 + 0*s - 1/2*s**4 + 4*s**2 + 0*s**3 - 21/40*s**6 - 7/10*s**7. What is x in d(x) = 0?
-1, 0, 2/7
Let q(x) be the third derivative of -2/3*x**3 + 4*x**2 + 5/12*x**4 + 1/10*x**5 + 0 + 0*x. Factor q(w).
2*(w + 2)*(3*w - 1)
Let q(v) be the first derivative of -v**3/6 + 3*v**2/2 + 7*v/2 - 36. Factor q(x).
-(x - 7)*(x + 1)/2
Let c(f) be the first derivative of f**4/4 - 2*f**3/3 - 3*f**2/8 + 9*f/4 + 3. Let c(d) = 0. What is d?
-1, 3/2
Let w = -6 + 3. Let u(c) = c + 1. Let j(v) = v**3 + 3*v + 3. Let n(a) = w*u(a) + j(a). Factor n(f).
f**3
Let j be ((-24)/300)/((-12)/20). Factor 4/15*b**3 - j*b - 2/15*b**5 + 0 + 0*b**2 + 0*b**4.
-2*b*(b - 1)**2*(b + 1)**2/15
Let q(f) be the first derivative of -f**5/30 - f**4/8 - f**3/18 + f**2/4 + f/3 - 7. Find y, given that q(y) = 0.
-2, -1, 1
Let m be -5 - 0 - (-903)/172. Suppose 1/4*z**2 + m*z - 1/2 = 0. Calculate z.
-2, 1
Let a(f) be the third derivative of -1/75*f**7 - 6*f**2 + 0*f**3 + 0*f + 0 + 0*f**4 - 3/100*f**6 - 1/75*f**5. Determine t so that a(t) = 0.
-1, -2/7, 0
Let d(q) be the third derivative of q**6/1800 - q**5/100 + 3*q**4/40 - q**3/3 - 5*q**2. Let l(y) be the first derivative of d(y). What is k in l(k) = 0?
3
Let j be (5/2)/(9/(-48)). Let d = j - -14. Factor 4/3*u + 2/3*u**4 - d - 4/3*u**3 + 0*u**2.
2*(u - 1)**3*(u + 1)/3
Let 1/8*k**2 + 1/2 + 5/8*k = 0. What is k?
-4, -1
Determine p so that -10/13*p + 2/13*p**2 + 6/13 + 2/13*p**3 = 0.
-3, 1
Let x(w) be the first derivative of -2*w**3/51 - 10*w**2/17 - 50*w/17 + 11. Determine q so that x(q) = 0.
-5
Let c(g) be the second derivative of -g**6/15 - 3*g**5/10 - g**4/6 + g**3 + 2*g**2 - 8*g. Let c(u) = 0. Calculate u.
-2, -1, 1
Let h be 1/(-3) + 1850/4218. Solve -2/19*r + 0 + h*r**2 = 0.
0, 1
Let d be (-3 - (-2 - 0))*-2. Let t = 0 - -5. Let -d*l**4 + 6*l**3 - 6*l**2 + 0*l**4 - 3*l + t*l = 0. Calculate l.
0, 1
Factor 3/7*k + 9/7*k**3 + 9/7*k**2 + 3/7*k**4 + 0.
3*k*(k + 1)**3/7
Let n = 8 - 4. Let y be -1 - ((-21)/n)/3. Factor -1/2 - y*w - 1/4*w**2.
-(w + 1)*(w + 2)/4
Suppose 5*l - 5*o - 10 = -5, 0 = o. Let w be l*5 + 2/2. Find t, given that -4*t**2 - 2 + 3*t**3 + 2*t**5 - w*t + 6*t**4 - 3*t + t**3 + 3*t = 0.
-1, 1
Suppose 13*p - 114 = -25*p. Factor -1/4*q**p - 5/4*q - q**2 - 1/2.
-(q + 1)**2*(q + 2)/4
Let r(x) = x**3 + 7*x**2 - 2*x - 10. Let o be r(-7). Suppose -f + 13 = -5*v, -v - 11 = f - o*f. Factor 6*y - 2*y**5 + 11*y + 4*y**f - 19*y.
-2*y*(y - 1)**2*(y + 1)**2
Let w = -109 - -112. Let f(k) be the third derivative of 1/16*k**4 + 2*k**2 + 1/20*k**5 + 0*k**w + 0 + 0*k + 1/80*k**6. Suppose f(t) = 0. Calculate t.
-1, 0
Suppose 44*l - l**2 + 8 + 0 - 51*l = 0. What is l?
-8, 1
Suppose 8 = -m + 13. Let -2*v**5 + 4*v**2 + 4*v**m + 0*v**5 + 10*v**3 + 8*v**4 = 0. What is v?
-2, -1, 0
Let r = 94/7 - 832/63. Suppose r*f**3 + 2/3*f + 2/3*f**2 + 2/9 = 0. What is f?
-1
Let d(k) = -k**2 - k - 1. Let p(j) = -4*j**2 - 3*j - 4. Let l(n) = n**2 + 1. Let u(x) = 2*l(x) + p(x). Let h(b) = 7*d(b) - 3*u(b). Solve h(g) = 0.
1
Let k(x) be the third derivative of 3*x**2 + 0*x**5 + 1/168*x**8 - 1/35*x**7 + 0*x**4 + 0*x + 1/30*x**6 + 0*x**3 + 0. Determine u, given that k(u) = 0.
0, 1, 2
Let u be 90/(-8)*((-902)/55 - -16). Factor u*t**2 + 3*t + 3/2*t**3 + 0.
3*t*(t + 1)*(t + 2)/2
Let o(l) be the second derivative of 0*l**2 + 4/3*l**3 - 5/3*l**4 + 3*l + 4/5*l**5 - 2/15*l**6 + 0. Find v, given that o(v) = 0.
0, 1, 2
Factor -10*z + 15*z**3 - 9/2*z**4 - 2 - 13/2*z**2.
-(z - 2)**2*(3*z + 1)**2/2
Let v be (6/(-5))/(16/2696). Let j = v + 203. What is i in -2/5*i**5 + 0 - 2/5*i**2 + 2/5*i**4 - j*i + 6/5*i**3 = 0?
-1, 0, 1, 2
Suppose -8 = -3*j + 2*o, j = -0*j - 2*o. Suppose -2 - 2*m**3 - 5*m**2 + 5*m**2 + 2*m**j + 2*m = 0. Calculate m.
-1, 1
Let z(a) be the third derivative of a**6/1080 - a**5/360 - a**4/36 + a**3/6 + 3*a**2. Let f(k) be the first derivative of z(k). Factor f(h).
(h - 2)*(h + 1)/3
Let r(b) be the third derivative of -3*b**5/80 - b**4/16 - b**3/24 - 7*b**2. Find w, given that r(w) = 0.
-1/3
Let x(t) be the second derivative of -1/6*t**4 + 2/3*t**3 + 3*t + 0*t**2 + 0. Factor x(n).
-2*n*(n - 2)
Let g(f) = f**3 - 6*f**2 + 7*f + 7. Let p be g(4). Suppose -z + 9 = 2*z. Factor z*j**2 - p*j - 2*j**2 - j - 3*j**2.
-2*j*(j + 2)
Let 6/7*v + 2/7*v**2 + 0 = 0. Calculate v.
-3, 0
Factor 0 + 1/3*q**3 - 4/3*q - q**2.
q*(q - 4)*(q + 1)/3
Let x(k) = 2*k**3 + 12*k - 6*k**2 + k**3 + 0*k**3 - 10. Let h(a) = 7*a**3 - 12*a**2 + 24*a - 21. Let t(p) = -2*h(p) + 5*x(p). Suppose t(n) = 0. What is n?
2
Let g(y) be the third derivative of 3*y**7/70 - y**6/10 + y**5/20 - y**2 + 13*y. Solve g(w) = 0.
0, 1/3, 1
Let n be 1/4 - 7/(-4). Let q = 3 + n. Factor 2*t + 6*t**q - 3*t**5 + 0*t**5 + t - 6*t**3.
3*t*(t - 1)**2*(t + 1)**2
Factor 0*r + 2*r**3 + 2*r**3 + 8*r - 12*r**2.
4*r*(r - 2)*(r - 1)
Suppose 0 = y - m - 2 - 1, 2*m = 3*y - 9. Suppose y*i = 5*i - 6. Suppose -i - 6*s**2 + 6*s + s**2 + 2*s**2 = 0. Calculate s.
1
Factor -1/5*a**5 + 0*a**2 + 0*a**3 + 2/5*a**4 + 0 + 0*a.
-a**4*(a - 2)/5
Let h(b) be the second derivative of 1/1620*b**6 - 2*b + 0 + 1/540*b**5 - 1/54*b**4 + 0*b**2 - 1/6*b**3. Let g(x) be the second derivative of h(x). Factor g(o).
2*(o - 1)*(o + 2)/9
Suppose c - 4*i = 1, 0*c - 2*i + 27 = 5*c. Let y(d) = -3*d**2 - 6. Let o(w) = -3*w**2 + w - 5. Let r(a) = c*y(a) - 6*o(a). Let r(q) = 0. Calculate q.
0, 2
Factor r**2 + 8*r**3 + 9*r**2 + 4*r + 7*r**4 - 5*r**4 + 0*r**4.
2*r*(r + 1)**2*(r + 2)
Let w be (-12)/(-80)*(-6)/(-63). Let h(r) be the third derivative of r**2 + 0*r + 0 + 1/120*r**5 - w*r**7 + 0*r**3 - 1/240*r**6 + 0*r**4. Factor h(d).
-d**2*(2*d + 1)*(3*d - 1)/2
Factor -3/5*x - 3/5*x**2 + 6/5.
-3*(x - 1)*(x + 2)/5
Suppose -4*t + 0*t = 4*j + 4, -3*t = 4*j + 6. Factor 4/7 - 2*x**4 - 30/7*x**t - 2/7*x - 38/7*x**3.
-2*(x + 1)**3*(7*x - 2)/7
Let u = 59/3 + -58/3. Factor 1/3 + u*x**2 + 2/3*x.
(x + 1)**2/3
Find d, given that 4/9*d**2 + 2/9*d**4 + 0 + 0*d - 2/3*d**3 = 0.
0, 1, 2
Let s(q) = q**2 + 10*q + 11. Let h be s(-9). Factor 3 - d**2 + 3 + 3*d**h + 6*d - 2.
2*(d + 1)*(d + 2)
Let l = 370/261 + 4/29. Factor 32/9*z**2 - l*z**3 - 22/9*z + 4/9.
-2*(z - 1)**2*(7*z - 2)/9
Let k(f) = -2*f**3 - 6*f**2 - 2*f. Let x(n) = 3*n - 4. Let j be x(3). Let t(q) = -q**3 - q. Let o(s) = j*t(s) - k(s). Let o(h) = 0. What is h