760 + q**7/8820 - 5*q**4/8 + 14*q**2. Let a(c) be the second derivative of l(c). Factor a(r).
-2*r**2*(2*r - 1)/7
Let g be ((-328)/(-12) + -1)*3. Let c = 159/2 - g. Factor c + 1/2*a**2 - a.
(a - 1)**2/2
Let b(q) = -2*q**3 + 198*q**2 - 196*q. Let w be b(98). Factor -5/2*i + 2*i**2 + w + 1/2*i**3.
i*(i - 1)*(i + 5)/2
Let g(h) be the second derivative of h**7/105 - h**6/25 - h**5/10 + h**4/2 + 4*h**3/15 - 12*h**2/5 - 9*h + 38. Solve g(m) = 0 for m.
-2, -1, 1, 2, 3
Let p = 23650093/30570932 - -1/120358. Let w = p - 3/127. What is n in -1/2 + w*n - 1/4*n**2 = 0?
1, 2
Let r(h) be the first derivative of 0*h + 3/5*h**5 + 0*h**3 - 3/14*h**4 - 4 + 0*h**2. Suppose r(u) = 0. What is u?
0, 2/7
Let z = 19 - 10. Suppose a = -1 + z. Factor -2*f**3 - 6*f**2 - f - 15*f + 2*f**4 - a + 6*f**3.
2*(f - 2)*(f + 1)**2*(f + 2)
Let l = -141 - -141. Let t(s) be the third derivative of 1/120*s**6 + l*s + 4*s**2 - 1/20*s**5 + 0 + 1/2*s**3 - 1/24*s**4. Factor t(w).
(w - 3)*(w - 1)*(w + 1)
Suppose 0*a + 4*r = -5*a + 350, 3*a - 3*r = 183. Let z be ((-4)/2)/2 - a/(-30). Find s such that -8/5*s - z*s**2 - 2/5 = 0.
-1, -1/3
Let q(n) be the third derivative of n**9/3024 - n**7/280 - n**6/180 - 5*n**3/3 + 8*n**2. Let k(i) be the first derivative of q(i). Factor k(c).
c**2*(c - 2)*(c + 1)**2
Let r be 8 + ((-18)/4)/((-135)/(-180)). Find q, given that 1/2*q**3 - 1/2*q + q**r - 1 = 0.
-2, -1, 1
Let p(t) be the first derivative of -t**3/18 - 7*t**2/6 + 16*t/3 - 95. What is f in p(f) = 0?
-16, 2
Let o(u) be the second derivative of u**5/35 - u**4/3 - 73*u. Solve o(c) = 0 for c.
0, 7
Suppose 7*s + s - 24 = 0. Suppose -3*g = 3*d + 3, 3*d + 2*d - 1 = -s*g. Factor 0*c - 1/6*c**d + 1/6.
-(c - 1)*(c + 1)/6
Let m(v) be the first derivative of -v**3/9 + 77*v**2/6 - 76*v/3 - 34. Factor m(u).
-(u - 76)*(u - 1)/3
Let d be ((-18)/(-5))/(11/((-165)/(-6))). Factor -v**2 - 12*v**3 + d*v**3 - 5*v**2.
-3*v**2*(v + 2)
Factor -50*v**2 + 80*v + 33*v**2 - 285 + 22*v**2.
5*(v - 3)*(v + 19)
Let c be ((-1092)/(-1305))/(-7) + 1/5. Let b = 12/29 - c. Factor 0*j + b*j**2 + 0.
j**2/3
Let j = -18 + 22. Factor -15*a**2 + 5*a**3 + 9*a**4 - 2*a - 4*a**j - 3*a + 1 + 9.
5*(a - 1)**2*(a + 1)*(a + 2)
Let f(v) = 4*v**2 + 51*v - 13. Let c be f(-13). Let j be ((-3)/(-12)*c)/2. Factor j - 1/4*p - 1/4*p**2.
-p*(p + 1)/4
Let l(h) be the third derivative of h**6/60 - h**5/3 + 9*h**4/4 - 6*h**3 - 436*h**2. Factor l(f).
2*(f - 6)*(f - 3)*(f - 1)
Let c(a) be the first derivative of a**4/6 - 2*a**3 + 8*a**2/3 - 175. Factor c(o).
2*o*(o - 8)*(o - 1)/3
Suppose 4*h + 5 = 13. Factor 5*u + 0*u + u - u + u**h.
u*(u + 5)
Let j(k) = k**2 - k - 1. Let z(w) = -137785*w**2 + 1665*w. Let c(d) = -5*j(d) - z(d). Find a, given that c(a) = 0.
1/166
Let q(f) be the third derivative of f**10/50400 + f**9/20160 - 17*f**5/60 + 52*f**2. Let i(c) be the third derivative of q(c). Factor i(y).
3*y**3*(y + 1)
Let k(n) be the third derivative of 2/195*n**6 - 1/65*n**5 + 0 + 11*n**2 - 1/455*n**7 + 1/39*n**3 + 0*n**4 + 0*n. Factor k(j).
-2*(j - 1)**3*(3*j + 1)/13
Let 146523/4*t - 663/4*t**2 - 10793861/4 + 1/4*t**3 = 0. What is t?
221
Let k(r) be the third derivative of 8*r**5/15 - 19*r**4/12 + r**3 + 230*r**2. Find w such that k(w) = 0.
3/16, 1
Let d(l) be the third derivative of -l**5/45 - 25*l**4/9 - 1250*l**3/9 - 6*l**2 - 6*l. Factor d(p).
-4*(p + 25)**2/3
Let f be (-1 - -1) + (5 - 3). Factor n**2 + 61 + 2*n**f - 47*n + 47 + 11*n.
3*(n - 6)**2
Let u be 8*(-1)/((-28)/7 + -3). Let b be 74/14 - 2/7. Factor -u*i**2 + 0 - 8/7*i**4 - 2/7*i - 2/7*i**b - 12/7*i**3.
-2*i*(i + 1)**4/7
Let u(t) = -3 + 4 - t**2 + 30*t - 31*t. Let f(x) = -4*x**2 + 2. Let b(g) = f(g) - 2*u(g). Find k, given that b(k) = 0.
0, 1
Suppose -118*x + 56 = -90*x. Let h(t) be the first derivative of -2*t + 1/2*t**3 - 1/2*t**4 + 1 + t**x + 1/10*t**5. Determine l, given that h(l) = 0.
-1, 1, 2
Suppose 5*m = 7*h + 1, 5*m + 4*h - 1071 = -1048. Factor 0*q - 2/7*q**2 + 4/7*q**m - 2/7*q**4 + 0.
-2*q**2*(q - 1)**2/7
Let b(o) = -7*o**2 + 5*o. Let c be 6/(-48) - (-34)/16. Let v(n) = 120*n**2 - 3 + 3 - 85*n. Let r(i) = c*v(i) + 35*b(i). Find u such that r(u) = 0.
0, 1
Solve -6/5*c**2 - 1/10*c**3 + 13/10*c + 0 = 0 for c.
-13, 0, 1
Let g(a) = 8*a**3 + 8*a**2 - 24*a + 12. Let h(t) = 7*t**3 + 8*t**2 - 25*t + 13. Let m(k) = -3*g(k) + 4*h(k). Factor m(y).
4*(y - 1)**2*(y + 4)
Let m(v) be the second derivative of 0 + 0*v**4 + 0*v**3 + 0*v**2 - 1/4*v**5 + 47*v - 1/3*v**6. Factor m(l).
-5*l**3*(2*l + 1)
Let f(p) be the first derivative of 0*p - 22/65*p**5 + 4/13*p**4 + 0*p**2 + 17 + 1/13*p**6 + 8/39*p**3. Factor f(a).
2*a**2*(a - 2)**2*(3*a + 1)/13
Let s(x) = 2*x**5 - 4*x**4 + 10*x**2 + 4*x - 6. Let k(w) = w**5 - 4*w**4 + 10*w**2 + 3*w - 6. Let q(v) = -3*k(v) + 2*s(v). What is y in q(y) = 0?
-3, -2, -1, 1
Factor -3*f**2 + 155 + 3*f**2 - 300*f + 4*f**2 + 141.
4*(f - 74)*(f - 1)
Let u = 1535 + -122799/80. Let j(c) be the third derivative of 1/80*c**6 + 1/280*c**7 + 0*c**3 + 0 + 0*c + 0*c**4 + u*c**5 + 4*c**2. Factor j(y).
3*y**2*(y + 1)**2/4
Let b(c) be the third derivative of -1/168*c**7 + 0 + 0*c + 1/240*c**5 + 1/192*c**8 + 1/6*c**4 - 15*c**2 + 1/6*c**3 - 23/480*c**6. Determine w so that b(w) = 0.
-1, -2/7, 1, 2
Suppose -5*k + 32 - 171 = -c, -353 = -3*c - k. Suppose p + 6*p - c = 0. Factor -p*h**3 + 0 + 9/2*h**4 + 14*h**2 + 4*h.
h*(h - 2)**2*(9*h + 2)/2
Let n be (-4 - 95/(-20)) + 319/(-4). Let z = n - -79. Factor z*r + 0*r**2 + 1/3*r**4 + 0 - 1/3*r**3.
r**3*(r - 1)/3
Factor -9 - 3/2*q**2 - 15/2*q.
-3*(q + 2)*(q + 3)/2
Factor -5/8*u**3 + 0 + 0*u + 1/4*u**2 - 1/8*u**5 + 1/2*u**4.
-u**2*(u - 2)*(u - 1)**2/8
Let t(r) be the second derivative of r**6/80 + 3*r**5/40 + 3*r**4/32 - r**3/4 - 3*r**2/4 - 121*r. Let t(d) = 0. What is d?
-2, -1, 1
Let l(w) be the second derivative of -1/14*w**7 + 0 - w**3 + 41*w + 1/12*w**4 - 1/6*w**6 + 13/20*w**5 + 0*w**2. Let l(q) = 0. What is q?
-3, -2/3, 0, 1
Let t(b) be the first derivative of 1/4*b**4 - 3/10*b**5 - 9*b + 0*b**2 + 1 + 0*b**3 + 1/10*b**6. Let l(s) be the first derivative of t(s). Factor l(j).
3*j**2*(j - 1)**2
Factor 28/3*l**2 - 4/3*l - 32/3.
4*(l + 1)*(7*l - 8)/3
Let d(l) be the second derivative of -l**6/780 - l**5/195 + l**4/39 + 8*l**3/39 - 17*l**2/2 + 22*l. Let k(w) be the first derivative of d(w). Factor k(g).
-2*(g - 2)*(g + 2)**2/13
Let d(c) = 243*c**5 - 108*c**4 + 8*c**3 + 4*c**2 - 4*c. Let r(b) = 243*b**5 - 108*b**4 + 7*b**3 + 5*b**2 - 5*b. Let p(h) = 5*d(h) - 4*r(h). Factor p(v).
3*v**3*(9*v - 2)**2
Let r be 2/8 - 6/(-24). Let o be 51/42 - (-2)/7. Factor j**2 + r - 3/2*j - o*j**4 + j**3 + 1/2*j**5.
(j - 1)**4*(j + 1)/2
Let 3 - 3 - 191*i**2 - 33*i + 192*i**2 = 0. What is i?
0, 33
Let p be ((-588)/140)/(-7) + 21/15. Factor -16/5*h - 1/5*h**3 + 12/5 + 7/5*h**p.
-(h - 3)*(h - 2)**2/5
Let v(j) = 2*j**3 + 45*j**2 + 16*j - 132. Let h be v(-22). Factor -3/2 + h*l + 3/2*l**2.
3*(l - 1)*(l + 1)/2
What is p in 11*p + 25*p + 9650*p**3 + 57*p**2 - 9629*p**3 = 0?
-12/7, -1, 0
Suppose 0 = 9*d + 9 - 36. Let -m**2 + 0*m**2 + 7*m**2 - m**d - 3*m**2 - 2*m = 0. What is m?
0, 1, 2
Let z(x) = 3*x**4 - 3*x**3 + 12*x**2 - 2*x + 5. Let c(l) = 6*l**4 - 6*l**3 + 21*l**2 - 3*l + 9. Let j(k) = -5*c(k) + 9*z(k). Factor j(i).
-3*i*(i - 1)**2*(i + 1)
Let d(n) be the second derivative of n**5/20 - n**3/2 + 5*n**2/2 - 15*n. Let r(h) be the first derivative of d(h). Factor r(f).
3*(f - 1)*(f + 1)
Let h(j) be the third derivative of 121*j**8/1512 - 7579*j**7/945 + 31463*j**6/108 - 118069*j**5/30 - 3724*j**4 - 1372*j**3 + 4*j**2 - 6. Factor h(p).
2*(p - 21)**3*(11*p + 2)**2/9
Let g be 6/(-15)*15/(-12)*6. Let q(z) = 5*z**2 - 2*z - 1. Let a be q(-1). Factor 14*n**g - 42*n**3 + a*n - 3*n**4 + 3 + 22*n**3.
-3*(n - 1)*(n + 1)**3
Let t be 7/((-35)/(-40)) - -4. Factor 2*u - 34*u**4 - t*u + 25*u**2 + 9*u**4 + 0*u + 10*u**3.
-5*u*(u - 1)*(u + 1)*(5*u - 2)
Let a(l) be the first derivative of -l**5/90 - l**4/54 + 5*l**3/27 - l**2/3 - 14*l + 19. Let z(y) be the first derivative of a(y). Factor z(r).
-2*(r - 1)**2*(r + 3)/9
Let p be 4462/(-194) + (-526)/(-18). Let -p*t + 2/9*t**2 + 392/9 = 0. What is t?
14
Factor 10/7*k**2 - 8/7*k - 4/7*k**3 + 2/7.
-2*(k - 1)**2*(2*k - 1)/7
Let k(a) be the third derivative of a**5/180 - 5*a**4/72 + a**3/3 + 4*a**2 + 4. Determine h so that k(h) = 0.
2, 3
Let o(w) be the sec