 3*a**4 + 318.
-a*(a - 2)*(a - 1)**2
Suppose -27*d + 129 = 16*d. Let s(r) be the first derivative of -2/5*r**5 + 0*r**4 + 2/3*r**d + 0*r + 0*r**2 + 8. Factor s(z).
-2*z**2*(z - 1)*(z + 1)
Let v(k) be the second derivative of -5*k**2 - 5/24*k**4 + 0 + k + 5/3*k**3. Factor v(x).
-5*(x - 2)**2/2
Let t(h) = -3*h**2 - 27*h + 30. Let c(r) = -11*r**2 - 5*r. Let g(p) = -7*p**2 - 3*p. Let i(m) = -5*c(m) + 8*g(m). Let l(d) = 2*i(d) + t(d). Factor l(a).
-5*(a - 1)*(a + 6)
Determine t so that 0*t + 3/2*t**4 + 3/2*t**3 + 1/2*t**2 + 1/2*t**5 + 0 = 0.
-1, 0
Let i be 0 + 4 + 28/(-20). Let w = i + -21/10. Find m such that 3/4*m + w + 1/4*m**2 = 0.
-2, -1
Let f(w) be the third derivative of w**10/113400 + w**9/45360 - w**5/4 - 8*w**2. Let c(r) be the third derivative of f(r). Solve c(i) = 0.
-1, 0
Let h(w) be the third derivative of -w**7/2520 + w**6/54 - 5*w**5/18 - 5*w**3/6 + 11*w**2. Let o(l) be the first derivative of h(l). Factor o(g).
-g*(g - 10)**2/3
Let d be (12/(-9))/(2/(-3)). Solve -54*r - 5 - 15*r**d - 5*r**3 + 24*r + 15*r = 0 for r.
-1
Let g(n) = 7*n**2 + 0*n - 3*n + 4*n. Suppose -15*v + 58 + 32 = 0. Let m(o) = 4*o**2. Let k(l) = v*g(l) - 10*m(l). Let k(j) = 0. Calculate j.
-3, 0
Let a(t) be the third derivative of -19*t**2 + 0 - 1/3*t**4 + 0*t**3 - 1/15*t**5 + 1/15*t**6 + 0*t + 2/105*t**7. Suppose a(d) = 0. Calculate d.
-2, -1, 0, 1
Let d = -21 + 17. Let j(c) = 8*c**2 + 15*c + 3. Let k(o) = 9*o**2 + 15*o + 4. Let a(z) = d*j(z) + 3*k(z). Suppose a(u) = 0. What is u?
-3, 0
Let v(s) be the second derivative of 0*s**2 + 0*s**3 + 1/10*s**5 + 1/60*s**6 + 0 + 16*s + 1/6*s**4. Factor v(h).
h**2*(h + 2)**2/2
Let o(c) be the second derivative of -c**7/63 - 7*c**6/45 - c**5/2 - c**4/2 - 21*c. Determine w, given that o(w) = 0.
-3, -1, 0
Let a(x) be the second derivative of x**4/20 - 6*x**2/5 + 2*x + 35. Let a(d) = 0. What is d?
-2, 2
Factor -12*d**2 - 27*d**4 + 3*d**5 - 12*d**3 + 37*d**2 + 8*d**2 + 57*d**2 + 18*d**2.
3*d**2*(d - 9)*(d - 2)*(d + 2)
Let c(w) = 2*w**3 + w - 2. Let h(p) = -9*p**3 - 36*p**2 - 161*p - 150. Let j(i) = 5*c(i) + h(i). Determine t, given that j(t) = 0.
-2, 40
Let r(i) be the first derivative of 2*i**5/45 - 8*i**3/9 - 16*i**2/9 - 348. Factor r(v).
2*v*(v - 4)*(v + 2)**2/9
Let g = -15553 - -15555. Factor -1/3*f**3 + 0*f**g + 1/3*f + 0.
-f*(f - 1)*(f + 1)/3
Let n(w) be the second derivative of w**4/9 - 32*w**3/9 + 10*w**2 + 454*w + 2. Factor n(s).
4*(s - 15)*(s - 1)/3
Let l be (-112)/231*(-6)/(-3)*(-9)/6. Factor l - 2/11*z**2 + 14/11*z.
-2*(z - 8)*(z + 1)/11
Let v = -9 + 12. Let r = v + 0. Factor 2*h**2 + r - 4*h - 2*h**2 - 5 - 2*h**2.
-2*(h + 1)**2
Let b be 18 + 1/1 + -1. Let q(l) = -45*l**2 - 55*l + 25. Let a(u) = -11*u**2 - 14*u + 6. Let z(f) = b*a(f) - 4*q(f). Solve z(k) = 0 for k.
-2, 2/9
Solve -8 - 5267*a - 10*a**3 - 5257*a + 0*a**4 + 10*a**2 + a**5 + a**5 - 2*a**4 + 10532*a = 0.
-2, -1, 1, 2
Let t be (2 - 3/2)/(21/2). Let n(g) be the second derivative of -t*g**7 + 4/15*g**6 - 3/5*g**5 + 0 + 0*g**2 + 2/3*g**4 - 1/3*g**3 - 4*g. Factor n(w).
-2*w*(w - 1)**4
Let m(f) be the third derivative of -2*f**7/105 - 4*f**6/15 - 16*f**5/15 + 627*f**2. Factor m(p).
-4*p**2*(p + 4)**2
Let a be -2 - -2 - (-2)/12. Suppose -4*d + 3*q + 9 = 0, -3*q = -d + 5 + 4. Find l such that 1/3*l**2 + d*l + 0 - a*l**4 - 1/6*l**3 = 0.
-2, 0, 1
Let s = 4 - 0. Let k(m) be the second derivative of 0*m**2 - s*m + 2/39*m**4 + 0 + 1/273*m**7 + 3/65*m**5 + 1/39*m**3 + 4/195*m**6. Factor k(c).
2*c*(c + 1)**4/13
Let k(j) be the first derivative of -3*j**4/20 - 2*j**3/5 + 27*j**2/10 + 54*j/5 + 107. Factor k(w).
-3*(w - 3)*(w + 2)*(w + 3)/5
Let j = -16 - -16. Suppose j = 3*k - 5 - 1. Factor s**4 - 2*s**3 + 5*s + 1 - 3*s**5 - 8*s**4 - 5*s**k + 11*s**2.
-(s - 1)*(s + 1)**3*(3*s + 1)
Let v be 0/((3 - 12) + (-6 - -13)). Determine p, given that 8/5*p**2 - 2/5*p + v = 0.
0, 1/4
Determine m, given that -189 - 29*m + 207 + 12*m**2 - 70*m**3 + 69*m**3 = 0.
1, 2, 9
Let s(j) be the third derivative of -j**6/48 + 43*j**5/120 + 89*j**4/240 + 3*j**3/20 - 168*j**2 - 2*j. Let s(r) = 0. What is r?
-1/5, 9
Let c(l) be the third derivative of l**8/4480 - l**7/630 + l**6/360 + l**4/6 - 9*l**2. Let v(h) be the second derivative of c(h). Solve v(g) = 0 for g.
0, 2/3, 2
Let z(o) be the second derivative of -o**5/230 - 55*o**4/138 - 728*o**3/69 + 784*o**2/23 + 474*o. Factor z(b).
-2*(b - 1)*(b + 28)**2/23
Suppose 2*h = -4*o - 26 + 22, 3*o = -4*h - 3. Factor -4/3*t**4 + 4/3*t**2 - 2/3*t + 2/3*t**5 + h*t**3 + 0.
2*t*(t - 1)**3*(t + 1)/3
Let l = -5373 - -5375. Factor 15/4*x - 3*x**l - 3/2 + 3/4*x**3.
3*(x - 2)*(x - 1)**2/4
Suppose -3*b + 8*b - 19 = 3*j, -5 = -b. Suppose 0 = 2*s - 4*p - 22, -4*p - 28 = -j*s - 2*s. Factor 0*r**2 + 3/4*r**s - 3/4*r + 0.
3*r*(r - 1)*(r + 1)/4
Let s = -3881/2 - -1943. Let c(f) be the second derivative of -5/2*f**5 - 25/6*f**3 + 5/6*f**6 + 25/6*f**4 - 5/42*f**7 + s*f**2 + 0 + 9*f. Factor c(d).
-5*(d - 1)**5
Factor -18*f**2 - 50 + 23*f**2 + 170*f - 125.
5*(f - 1)*(f + 35)
Let k(y) be the third derivative of -1/36*y**4 + 0*y**3 + 1/45*y**5 + 0 + 0*y - 1/240*y**6 + 3*y**2 + 1/2016*y**8 - 1/630*y**7. Factor k(m).
m*(m - 2)*(m - 1)**2*(m + 2)/6
Let q(a) be the second derivative of -1/4*a**5 + 0 - 7/30*a**6 - 1/12*a**4 + 0*a**3 + 0*a**2 - 1/14*a**7 + 17*a. Factor q(f).
-f**2*(f + 1)**2*(3*f + 1)
Let t be 1 - 10*2/(-2). Solve -21*o + 7*o**2 - 50 + 47*o - 2*o**2 - t*o = 0.
-5, 2
Let c(u) be the first derivative of u**3/9 + 14*u**2 + 588*u + 245. Factor c(x).
(x + 42)**2/3
Let d(m) be the third derivative of -m**7/420 - m**6/80 + m**5/60 + m**4/4 + 2*m**3/3 - 14*m**2 - 5*m. Find y, given that d(y) = 0.
-2, -1, 2
Let a(o) be the first derivative of 3*o**5/5 - 11*o**4/4 + 5*o**3 - 9*o**2/2 + 2*o - 79. Let a(b) = 0. Calculate b.
2/3, 1
Let x be -10 + ((-426)/42)/(-1). Solve 12/7*r + x*r**2 + 36/7 = 0.
-6
Let g(w) = -w**3 - w + 1. Let f(z) = -5*z**3 + 20*z**2 + 47*z + 13. Let r(t) = f(t) + 3*g(t). Find o, given that r(o) = 0.
-1, -1/2, 4
Factor -1793*n**2 + 3599*n**2 + n**3 - 1783*n**2.
n**2*(n + 23)
Let m(g) be the third derivative of -5/48*g**6 + 21*g**2 - 1/28*g**7 + 0*g**3 + 5/12*g**4 + 1/6*g**5 + 0*g + 0. Solve m(y) = 0 for y.
-2, -2/3, 0, 1
Let t be -2 + (2 - (4/(-4) - 1)). Find z, given that -9*z**2 + 3*z**t + 11*z**2 + 2*z**3 - 7*z**2 = 0.
0, 1
Let s(v) = -605*v**3 + 594*v**2 + 16*v - 5. Let w(u) = 302*u**3 - 296*u**2 - 8*u + 2. Let n(b) = -2*s(b) - 5*w(b). Let n(r) = 0. What is r?
-2/75, 0, 1
Let i(q) be the third derivative of -4*q**2 - 1/30*q**5 + 1/6*q**3 + 0*q - 1/180*q**6 - 1/12*q**4 + 0. Let o(j) be the first derivative of i(j). Factor o(u).
-2*(u + 1)**2
Let d(i) be the third derivative of -25*i**8/1512 + 2*i**7/63 + 61*i**6/540 - 11*i**5/135 - i**4/3 - 8*i**3/27 - 75*i**2. Suppose d(n) = 0. What is n?
-1, -2/5, 1, 2
Let s be 224/114 + (-344)/(-9804). Factor 4/3 + 2/9*u**s - 14/9*u.
2*(u - 6)*(u - 1)/9
Let n(z) be the first derivative of -14 - 3/13*z**2 + 4/13*z + 2/39*z**3. Factor n(d).
2*(d - 2)*(d - 1)/13
Let m(h) be the first derivative of h**8/784 + h**7/245 - h**5/70 - h**4/56 - h**2/2 + 4. Let t(q) be the second derivative of m(q). Let t(n) = 0. Calculate n.
-1, 0, 1
Let 3 - 3/4*h**2 + 0*h = 0. Calculate h.
-2, 2
Let r(n) be the second derivative of -19*n + 0*n**3 + 0*n**4 + 1/10*n**5 - 1/21*n**7 + 0*n**2 + 0 + 0*n**6. Suppose r(a) = 0. Calculate a.
-1, 0, 1
Let -2/7*h**2 + 0 + 2/7*h**4 + 10/7*h - 10/7*h**3 = 0. What is h?
-1, 0, 1, 5
Let s be (2 - (-108)/(-53))*2/10. Let r = s - -552/2915. Solve -6/11*g**2 + 8/11 + r*g**4 - 4/11*g**3 + 8/11*g = 0.
-1, 2
Let o be (2/(-8))/((-26)/(-208))*-1. Let k(n) be the second derivative of -6*n**o - 4*n**3 - 2*n + 0 + 21/4*n**4. Factor k(q).
3*(3*q - 2)*(7*q + 2)
Suppose 18*r - 18 = 17*r. Find a such that -11*a**2 + 24*a**4 - r*a + 9*a**3 - a**3 + 10*a**5 + a**2 - 10*a**2 - 4 = 0.
-1, -2/5, 1
Suppose 12*w**3 + 12 + 68*w - 52*w**4 + 46*w**2 - 46*w**4 + 82*w**4 + 38*w**2 = 0. What is w?
-1, -1/4, 3
Let j(x) be the second derivative of 3/10*x**3 + 3/100*x**5 + 0*x**2 - 1/50*x**6 + 1/4*x**4 + 0 - 12*x. Let j(l) = 0. Calculate l.
-1, 0, 3
Let i be 27/(1/3 - 4/3). Let u = i + 29. Factor -2/7 - 8/7*j**4 + 10/7*j**u - 1/7*j - 4/7*j**3 + 5/7*j**5.
(j - 1)**3*(j + 1)*(5*j + 2)/7
Factor -18*k**2 - 73*k**3 - 16*k**4 - 124*k + 48*k - k