7560 - u**5/30 - 4*u**2. Let g(d) be the third derivative of a(d). Factor g(r).
r*(r - 2)*(r + 1)/3
Factor -2*q**3 - 3*q**3 + 6*q**2 + q - 5*q + 3*q**3.
-2*q*(q - 2)*(q - 1)
Let b(u) = -10*u**3 + 4*u**2 - 10*u + 12. Let z(k) = k**3 + k - 1. Let f(n) = -b(n) - 12*z(n). Let f(o) = 0. What is o?
-1, 0
Let n(i) be the first derivative of -i**4/2 - 28*i**3/3 - 49*i**2 - 32. What is v in n(v) = 0?
-7, 0
Let l(c) = c**2 + 5*c - 9. Let m be l(-6). Let i(f) = 2*f**3 + 6*f**2 + 2*f - 6. Let g(h) = -2*h**3 - 5*h**2 - h + 5. Let o(u) = m*i(u) - 4*g(u). Factor o(x).
2*(x - 1)*(x + 1)**2
Let y be (1 + 1)/(8/68). Let -9*r**4 - 10*r + y*r - 21*r**3 - 10*r - 15*r**2 = 0. What is r?
-1, -1/3, 0
Suppose -3*s - 3*m - 2*m + 1 = 0, m - 1 = -s. Let y = 25/2 - 12. Suppose y*g**s - 1/2*g**4 - 1/2*g + 0 + 1/2*g**3 = 0. What is g?
-1, 0, 1
Let n(j) be the third derivative of j**5/12 - 5*j**4/8 + 5*j**3/3 + 2*j**2. Factor n(k).
5*(k - 2)*(k - 1)
Suppose 2*q = -u - 7, -3*u - 4*q - 5 = 6. Suppose -9/2*b**4 + u*b**2 + 3/2 + 3*b**3 - 9/2*b + 3/2*b**5 = 0. Calculate b.
-1, 1
Let j(c) be the second derivative of -c**8/560 + c**7/210 - c**6/360 - 2*c**3/3 + 4*c. Let t(o) be the second derivative of j(o). Determine n so that t(n) = 0.
0, 1/3, 1
Suppose 6 + 2/3*f**2 + 4*f = 0. Calculate f.
-3
Let r(h) = -12*h**2 + 3*h + 15. Let w(v) = 3*v**2 - v - 4. Let t(i) = 2*r(i) + 9*w(i). Solve t(p) = 0 for p.
-1, 2
Let d be (1/135)/((-7)/(-21)). Let h(x) be the second derivative of d*x**6 + x - 1/30*x**5 + 0*x**3 + 0*x**4 + 0 + 0*x**2. Find j such that h(j) = 0.
0, 1
Let x(h) = h**2 + 10*h - 6. Let i be x(-8). Let g = i - -114/5. Determine t so that -2/5*t**2 - g*t - 2/5 = 0.
-1
Suppose 3/4*x - 1/4*x**3 + 0*x**2 - 1/2 = 0. Calculate x.
-2, 1
Let h(z) = -3*z**5 - 15*z**4 + 18*z**3 + 15*z**2 - 6*z. Let i(g) = -2*g**5 - 7*g**4 + 9*g**3 + 7*g**2 - 3*g. Let m(j) = 4*h(j) - 9*i(j). Solve m(l) = 0 for l.
-1, 0, 1/2, 1
Determine t, given that 2/5 - 2/5*t**3 - 2/5*t**2 + 2/5*t = 0.
-1, 1
Let j(z) = -z**2 + 5*z + 2. Let o be j(5). Let p be (-26)/(-8) + -3 + o. Let -7/4*b**4 - p*b + 9/4*b**3 + 5/4*b**2 + 1/2 = 0. Calculate b.
-1, 2/7, 1
Let j = 8 + -22. Let b be (-21)/j - (-2)/4. Determine m so that 0*m**2 + 3*m - 4 - 2*m + 6*m**b + m = 0.
-1, 2/3
Let v(f) be the first derivative of -f**4/12 - f + 3. Let j(t) be the first derivative of v(t). Factor j(x).
-x**2
Let y(n) be the third derivative of -2*n**7/105 - 2*n**6/15 - 2*n**5/5 - 2*n**4/3 - 2*n**3/3 + 14*n**2. What is u in y(u) = 0?
-1
Let z(k) = k**3 + 9*k**2 - 23*k - 9. Let c be z(-11). Factor -2/5*r + 0 + 2/5*r**c.
2*r*(r - 1)/5
Let h(g) be the third derivative of -g**7/525 + g**5/75 - g**3/15 - 5*g**2. Factor h(m).
-2*(m - 1)**2*(m + 1)**2/5
Let g be 11500/18 - (22 - 26). Let n = g + -642. Factor 0 + n*o**2 + 2/3*o**3 + 2/9*o.
2*o*(o + 1)*(3*o + 1)/9
Let n(u) be the second derivative of u**7/98 + 3*u**6/70 + 3*u**5/70 - u**4/14 - 3*u**3/14 - 3*u**2/14 - 14*u + 3. Find x such that n(x) = 0.
-1, 1
Factor 0*j + 0 + 3/5*j**2 - 3/5*j**4 + 0*j**3.
-3*j**2*(j - 1)*(j + 1)/5
Let b be 232/(-6) + -4 - -2. Let q = -40 - b. Solve 0 + 0*l - q*l**3 - 2/3*l**4 + 2/3*l**5 + 2/3*l**2 = 0.
-1, 0, 1
Let l(y) = 5*y**3 + 24*y**2 + 8*y. Let t(s) = -2*s**3 - 8*s**2 - 3*s. Let v(j) = 3*l(j) + 8*t(j). Factor v(k).
-k**2*(k - 8)
Let s(x) = 5*x**4 - 10*x**3 + 15*x**2 + 30*x. Let a(b) = b**3 - b. Let h(i) = 25*a(i) + s(i). Determine f, given that h(f) = 0.
-1, 0
Factor -2 - 78*p**2 - 1 + 1 + p + 79*p**2.
(p - 1)*(p + 2)
Factor 12/7*n**2 - 4/7 - 8/7*n**3 + 0*n.
-4*(n - 1)**2*(2*n + 1)/7
Let l(a) = 12*a**3 - 10*a**2 + 6*a. Let c(g) = 13*g**3 - 10*g**2 + 7*g. Suppose -3*x = x + 20. Let d(t) = x*l(t) + 4*c(t). Let d(h) = 0. Calculate h.
0, 1/4, 1
Let h(n) be the third derivative of 0 - 1/36*n**4 + 2/27*n**3 + 1/270*n**5 + 3*n**2 + 0*n. Factor h(r).
2*(r - 2)*(r - 1)/9
Let -3/4*l + 0 - 1/4*l**3 + l**2 = 0. Calculate l.
0, 1, 3
Let l be 4*(-1)/(-15) - (-28)/70. Factor 2/3*o**5 + 4/3*o**4 + 0 - l*o + 0*o**3 - 4/3*o**2.
2*o*(o - 1)*(o + 1)**3/3
Let s(a) = -8*a**2 - 1. Let y be s(-1). Let r(l) = -l**2 - 9*l. Let z be r(y). Suppose 2*j + z*j - 2*j**2 + 3*j**2 = 0. What is j?
-2, 0
Let p(y) be the first derivative of y**6/60 + y**5/30 - 3*y**2/2 + 3. Let w(f) be the second derivative of p(f). Factor w(q).
2*q**2*(q + 1)
Let z(j) be the third derivative of -j**8/40320 - j**7/1680 - j**6/160 - j**5/60 + 2*j**2. Let w(b) be the third derivative of z(b). Factor w(t).
-(t + 3)**2/2
Let o(x) = 3*x - 34. Let t be o(12). Factor 0 + 4/9*s + 28/9*s**3 + 22/9*s**t.
2*s*(2*s + 1)*(7*s + 2)/9
Let q(p) be the second derivative of p**4/28 + p**3/14 - 19*p. Factor q(s).
3*s*(s + 1)/7
Let w be (-46)/8 + 30/40. Let j be ((-3)/(-30))/((-2)/w). What is c in 0 + 0*c - j*c**2 = 0?
0
Let 456 + 72*p + 163 + 29 + 2*p**2 = 0. Calculate p.
-18
Let r(s) be the first derivative of -1/2*s**2 - 2 + s**3 + 0*s - 3/5*s**5 + 1/4*s**4. Factor r(j).
-j*(j - 1)*(j + 1)*(3*j - 1)
Let m(n) be the third derivative of n**8/1344 - n**6/240 + n**4/96 - 5*n**2. Determine b, given that m(b) = 0.
-1, 0, 1
Let p(c) be the third derivative of c**8/2016 + c**7/420 + c**6/720 - c**5/120 - c**4/72 - 22*c**2. Suppose p(a) = 0. What is a?
-2, -1, 0, 1
Let f be 1/(-2) - (-1)/2. Let k(a) be the first derivative of 2/5*a**5 + 0*a**2 + 0*a**4 + f*a + 1/3*a**6 - 2 + 0*a**3. Let k(u) = 0. What is u?
-1, 0
Factor 0 + 1/4*q**3 - 1/4*q**5 + 0*q**2 + 0*q + 0*q**4.
-q**3*(q - 1)*(q + 1)/4
Suppose -38 = -62*y + 43*y. Factor -2*q**y + 0 + 2/3*q + 4/3*q**3.
2*q*(q - 1)*(2*q - 1)/3
Let w(n) = -10*n**3 + 65*n**2 - 65*n + 20. Let s(x) = x**4 + 10*x**3 - 64*x**2 + 66*x - 21. Let m(g) = -5*s(g) - 4*w(g). Let m(r) = 0. Calculate r.
-5, 1
Let l(h) be the third derivative of h**6/180 - h**4/12 - 4*h**3/3 - 9*h**2. Let a(s) be the first derivative of l(s). Suppose a(x) = 0. Calculate x.
-1, 1
Factor 12/5*g + 0 + 3/5*g**2.
3*g*(g + 4)/5
Let t(v) be the third derivative of v**5/30 - v**4/2 + 3*v**3 + 19*v**2. Solve t(a) = 0 for a.
3
Suppose 0 = 2*f - 19 + 11. Let d be ((-2)/(-5))/((-32)/(-280)). Let -1/2 + r + 4*r**2 + r**3 - d*r**f - 2*r**5 = 0. What is r?
-1, 1/4, 1
Let s(p) be the second derivative of 2*p + 1/2*p**2 - 1/12*p**4 + 0*p**3 + 0. Factor s(h).
-(h - 1)*(h + 1)
Let d(f) be the first derivative of f**6/10 - 21*f**5/80 - f**4/8 + 4*f + 5. Let w(j) be the first derivative of d(j). Factor w(b).
3*b**2*(b - 2)*(4*b + 1)/4
Let h = -11 - -6. Let z = h + 7. Find u, given that -10*u**3 + 2 - 4*u**z - 3*u + 13*u + 2 = 0.
-1, -2/5, 1
Suppose 3*z + 5*k + 11 = 3, 3*z - 2*k - 20 = 0. Let s(u) be the first derivative of -32/25*u**5 - 2/15*u**3 + 0*u**2 - 4/5*u**z + 0*u + 2. Factor s(c).
-2*c**2*(4*c + 1)**2/5
Let l(c) be the third derivative of c**6/1440 - c**5/240 + c**4/96 + c**3/6 - 3*c**2. Let x(o) be the first derivative of l(o). Factor x(h).
(h - 1)**2/4
Let d(z) be the third derivative of 0*z + 1/100*z**5 + z**2 + 0 - 1/1050*z**7 + 1/60*z**4 + 0*z**6 + 0*z**3. Factor d(w).
-w*(w - 2)*(w + 1)**2/5
Solve -4/3*j + 4 - 8/3*j**2 = 0.
-3/2, 1
Suppose 4*b + b + t - 16 = 0, 2*b = 4*t + 24. Suppose 4*f + b*w = f - 2, 2 = -w. Find l such that 2*l**2 - 6*l + f*l**3 + 4*l + 0*l**2 - 2 = 0.
-1, 1
Let h = 87 - 82. Let f(l) be the first derivative of 2/5*l**h - 4/3*l**3 + 0*l**4 + 2*l - 4 + 0*l**2. Factor f(t).
2*(t - 1)**2*(t + 1)**2
Let w = 44 - 41. Let g(s) be the third derivative of 0*s**w + 0*s**4 - 1/180*s**5 + 0*s - 1/360*s**6 + 0 - 3*s**2. Solve g(o) = 0 for o.
-1, 0
Let g be 8/20 + (-2)/5. Let z(t) be the second derivative of -2*t - 1/3*t**2 + 0*t**3 + g + 1/18*t**4. Factor z(d).
2*(d - 1)*(d + 1)/3
Let q(a) = a - 4. Let v be q(6). Let u(n) = n**3 - 8*n**2 - n + 12. Let i be u(8). Let 0 + 1/3*f - 1/3*f**3 + 1/3*f**v - 1/3*f**i = 0. Calculate f.
-1, 0, 1
Let p(c) be the third derivative of -3*c**8/896 + 2*c**7/35 - 59*c**6/320 - 77*c**5/80 + 3*c**4/16 + 9*c**3/2 + 49*c**2. Let p(r) = 0. What is r?
-1, 2/3, 6
Let t be 135 - (2 - 2) - 2. Factor -11*w - t*w + 11*w**2 + 192 + 23*w**2 + 2*w**2 - 3*w**3.
-3*(w - 4)**3
Let w(k) = k**2 + 3*k + 3. Let j be w(-3). Let n be -22*2/(-28) + j. Factor -n*b**5 + 0 + 0*b**2 - 16/7*b**4 - 2/7*b**3 + 0*b.
-2*b**3*(4*b + 1)**2/7
Suppose 0 - 2/5*f - 2/5*f**3 - 4/5*f**2 = 0. What is f?
-1, 0
Let c(s) be the third derivative of 