/4*o**2 + 21/2*o + 39/4 = 0. What is o?
-13, -1
Let z = 2257/20 - 451/4. Let o(d) be the first derivative of z*d**4 - 1 + 0*d - 1/5*d**2 - 1/15*d**3 + 1/25*d**5. Determine m so that o(m) = 0.
-2, -1, 0, 1
Suppose -2*a - 3 = 7, -a = c. Let d(l) = -l**2 + 1. Let p(j) = j**3 - 26*j**2 + 147*j - 338. Let i(b) = c*d(b) - p(b). Factor i(o).
-(o - 7)**3
Let f = 13842 - 13842. Factor -8/3*a + 2/3*a**2 + f.
2*a*(a - 4)/3
Let u(r) be the third derivative of r**7/21 + 43*r**6/24 - 59*r**5/6 + 10*r**4 + 41*r**2 - 1. Factor u(o).
5*o*(o - 2)*(o + 24)*(2*o - 1)
Let k(c) be the third derivative of -c**8/224 + 27*c**7/140 - 137*c**6/80 - 123*c**5/8 - 225*c**4/8 - 78*c**2 + 2. Find x such that k(x) = 0.
-2, -1, 0, 15
Let y(v) be the second derivative of -11/126*v**7 + 0 - 1/18*v**4 - 1/4*v**5 + 0*v**3 - 11*v - 4/15*v**6 + 0*v**2. Suppose y(l) = 0. Calculate l.
-1, -2/11, 0
Let j(i) be the first derivative of -8/35*i**5 + 1/14*i**4 + 20/21*i**3 + 28 + 1/21*i**6 - 4/7*i**2 - 16/7*i. Let j(d) = 0. Calculate d.
-1, 2
Factor -38/9*j**2 - 128/9*j - 2/9*j**3 - 40/3.
-2*(j + 2)**2*(j + 15)/9
Let v(n) = 9*n**4 - 55*n**3 + 210*n**2 - 320*n + 160. Let r(i) = i**4. Let c(z) = 4*r(z) - v(z). Factor c(p).
-5*(p - 4)**2*(p - 2)*(p - 1)
Let c(p) = -2*p**2 - 9*p - 2. Let f be c(-4). Factor 7*u**5 + 6*u**3 - 3*u**4 - 22*u**3 - 5*u**2 + u**2 - f*u**4.
u**2*(u - 2)*(u + 1)*(7*u + 2)
Let a(y) be the third derivative of y**8/84 - y**7/105 - y**6/10 - y**5/30 + y**4/6 - 77*y**2. Solve a(r) = 0 for r.
-1, 0, 1/2, 2
Let t(z) = 3*z**2 - 4*z**2 - 6*z - 5 - z**2 + z**2. Let c be t(-4). Solve 2*u**2 + c + 6*u**3 - 5 - 7*u + u**3 = 0 for u.
-1, -2/7, 1
Let m(s) be the third derivative of 0*s + 0 + 2/3*s**3 - 1/60*s**5 + 25*s**2 - 1/8*s**4. Find p such that m(p) = 0.
-4, 1
Let t(l) be the first derivative of -5*l**6/18 + 2*l**5/3 + 35*l**4/12 + 20*l**3/9 - 188. Factor t(a).
-5*a**2*(a - 4)*(a + 1)**2/3
Let d be (-84)/(-98) - (-22)/7. Let i(a) be the second derivative of -1/10*a**2 - 1/100*a**5 - 1/20*a**d + 0 - 1/10*a**3 - 6*a. Factor i(t).
-(t + 1)**3/5
Suppose 3*d = -2*r - 4 - 5, -5*d - 15 = -4*r. Let b(t) be the third derivative of 3*t**2 + 0 + 1/30*t**5 + 1/12*t**4 + r*t + 0*t**3. Solve b(c) = 0 for c.
-1, 0
Let a(q) be the third derivative of -4*q**2 + 0*q + 10/3*q**3 - 1/4*q**5 + 0 + 0*q**4 + 1/24*q**6. What is c in a(c) = 0?
-1, 2
Let k(m) be the third derivative of -m**7/168 + m**6/48 + 22*m**2 + 4*m. Factor k(w).
-5*w**3*(w - 2)/4
Let n(j) be the first derivative of -7 + 0*j**2 + 0*j**4 + 1/10*j**5 + 1/2*j - 1/3*j**3. Factor n(u).
(u - 1)**2*(u + 1)**2/2
Let a(p) be the first derivative of -p**6/21 - 6*p**5/7 - 6*p**4 - 416*p**3/21 - 192*p**2/7 - 278. Factor a(h).
-2*h*(h + 3)*(h + 4)**3/7
Let o be (-2 + 2 + 10)*9/(-6). Let x be 57/o - 10/(-4)*2. Determine k so that -1/5*k**3 - 12/5*k - 8/5 - x*k**2 = 0.
-2
Let i(y) be the third derivative of y**7/105 + 11*y**6/60 + 6*y**5/5 + 4*y**4/3 - 64*y**3/3 + 107*y**2. Factor i(u).
2*(u - 1)*(u + 4)**3
Suppose -r = 4*k + 124 - 40, 456 = -5*r - 2*k. Let c = r - -95. Factor 3/4*w**5 - 3/2*w**2 - 3/2*w**c + 3/4 + 3/4*w + 3/4*w**4.
3*(w - 1)**2*(w + 1)**3/4
Let r(q) be the third derivative of -q**7/315 + q**6/18 - 2*q**5/5 + 3*q**4/2 - 3*q**3 - 8*q**2 - 3. Factor r(h).
-2*(h - 3)**3*(h - 1)/3
Let z(p) be the first derivative of 4*p**7/21 - 7*p**6/15 + p**5/5 + p**4/6 + 8*p + 3. Let a(f) be the first derivative of z(f). Solve a(l) = 0 for l.
-1/4, 0, 1
Let v(f) = -f**4 - f**2 - 2*f. Let i(x) = -9*x**4 + 27*x**3 - 30*x**2 - 12*x. Let j(z) = -i(z) + 6*v(z). Factor j(q).
3*q**2*(q - 8)*(q - 1)
Suppose -4 = -w - 1. Find f such that w*f - 4*f**3 - 8*f**2 - 13*f + 6*f = 0.
-1, 0
Let r = -11/411 + 3025/411. Factor -1/3*h**2 - 121/3 - r*h.
-(h + 11)**2/3
Determine i, given that 31*i**3 - 20 - 29*i**3 + 3*i**3 + 15*i**2 = 0.
-2, 1
Let q = -892 - -895. Let -38/7*w - 4*w**q + 2/7*w**5 - 2/7*w**4 - 52/7*w**2 - 10/7 = 0. What is w?
-1, 5
Let g = -2116/9 + 10589/45. Factor -20 - g*a**2 - 4*a.
-(a + 10)**2/5
Let y(c) be the first derivative of 5*c**4/4 - 5*c**3 - 5*c**2/2 + 15*c + 104. Solve y(v) = 0.
-1, 1, 3
Suppose 6*n + 6 = 8*n. Factor 18 + 3*u - 10 - 3*u**n - 3*u**2 - 5.
-3*(u - 1)*(u + 1)**2
Let k = -2 + 5. Suppose n - 8 = -k*n. Suppose 8/5 - 38/5*s**n + 8/5*s + 28/5*s**3 - 6/5*s**4 = 0. What is s?
-1/3, 1, 2
Let w(o) = 5*o**2 + 36*o + 85. Let n be w(-3). Find g, given that -2/11*g**2 - 4*g - n = 0.
-11
Let y(q) be the second derivative of -3/2*q**3 + 1/20*q**5 - 9/2*q**2 + 1/4*q**4 + 6*q + 0. Let h(a) be the first derivative of y(a). Solve h(p) = 0 for p.
-3, 1
Let i(h) be the first derivative of -32 + 5/6*h**3 - 5/2*h + 0*h**2. Factor i(f).
5*(f - 1)*(f + 1)/2
Let x(a) be the second derivative of -a**8/2016 + a**6/720 - 5*a**2/2 - 10*a. Let l(u) be the first derivative of x(u). Factor l(s).
-s**3*(s - 1)*(s + 1)/6
Let r be 1/((-13)/((-169)/39)). Let f(s) be the first derivative of -r*s**3 + 3*s - s**2 + 3. Factor f(b).
-(b - 1)*(b + 3)
Suppose -5*p = 7 - 67. Factor -3*s**4 - 19*s**2 + p*s + 12*s**3 + 6*s**3 + 5*s**2 - 13*s**2.
-3*s*(s - 4)*(s - 1)**2
Factor 249 - 481 + 51*o**2 - 2*o**3 + 60*o + 14*o**3 + 244.
3*(o + 2)**2*(4*o + 1)
Let y(a) be the first derivative of -a**4/2 - 26*a**3/3 - 35*a**2 + 98*a - 14. Find x such that y(x) = 0.
-7, 1
Suppose 10*m = -2960 + 2960. Let i(b) be the first derivative of 4/5*b**5 + 0*b + m*b**4 - 4*b**3 - 4*b**2 + 6. Suppose i(x) = 0. Calculate x.
-1, 0, 2
Let l be (-3)/12*-2*(-2 + 6). Let x(m) be the first derivative of 0*m + 2/21*m**3 - 2 + 0*m**l - 1/14*m**4. Factor x(b).
-2*b**2*(b - 1)/7
Let x(a) be the third derivative of -10/3*a**3 - 5*a**2 + 1/12*a**6 + 1/4*a**5 + 0 - 5/6*a**4 + 0*a - 1/42*a**7. Factor x(p).
-5*(p - 2)**2*(p + 1)**2
Let q = 288 + -288. Let r(z) be the third derivative of -1/210*z**5 + 1/84*z**4 + 0*z + q + 2*z**2 + 0*z**3. Factor r(t).
-2*t*(t - 1)/7
Let q(u) be the third derivative of -u**8/84 - 2*u**7/105 + 2*u**6/15 + 4*u**5/15 + 5*u**2 - 2*u. Find s, given that q(s) = 0.
-2, -1, 0, 2
Let j(y) = -2*y + 57. Let x be j(24). Find r, given that -18*r**3 + x*r**4 - 22*r - r**5 + 204*r + 61*r - 243 - 54*r**2 = 0.
-3, 3
Let j(m) = m + 10. Let b be j(-6). Let k be (-3)/(-5)*b/6. Factor -k*x + 0 + 4/5*x**2.
2*x*(2*x - 1)/5
Let s(i) be the third derivative of -5*i**2 + 1/60*i**5 + 0 + 1/105*i**7 - 1/672*i**8 - 1/48*i**6 + 0*i + 0*i**4 + 0*i**3. Factor s(o).
-o**2*(o - 2)*(o - 1)**2/2
Let n(x) = 15*x**2 - 9*x. Let k(h) = -2*h**2 + h. Let y(b) = 6*k(b) + n(b). Factor y(g).
3*g*(g - 1)
Let i be (-3)/(1/(2/3)). Let k be (i - -2*1) + (-44)/(-396). Factor -k*z**2 - 2/9*z + 0.
-z*(z + 2)/9
Suppose 2 + 32 = 34*j. Let u(o) = 0 - o + 2*o**3 + o**2 - 1 - 3*o**3. Let b(d) = 14*d**3 - 6*d. Let z(v) = j*b(v) + 4*u(v). Solve z(p) = 0 for p.
-1, -2/5, 1
Solve 5*o**3 - 41*o**5 + 43*o**5 - 6*o**3 - 2*o**2 + 6*o**4 - 4*o**2 - 4*o + 3*o**3 = 0.
-2, -1, 0, 1
Let z(b) be the second derivative of -b**4/15 + 28*b**3/15 - 26*b**2/5 - 4*b + 1. Let z(t) = 0. Calculate t.
1, 13
Let r(y) be the third derivative of -y**6/180 + y**5/30 + 11*y**3/3 - 19*y**2. Let p(w) be the first derivative of r(w). Suppose p(v) = 0. Calculate v.
0, 2
Let o(c) be the first derivative of 2*c**3 + 10 - 2/3*c**5 + 4/3*c**4 - 8/3*c**2 - 8/3*c. Let o(n) = 0. Calculate n.
-1, -2/5, 1, 2
Suppose -5*f + 0*f - 5 = 0. Let j(b) = -17*b**3 - b**2 - b. Let p be j(f). Factor -h**2 - p + 35 - 17.
-(h - 1)*(h + 1)
Let b be (2 + (2 - 3))*(1 - -6). Suppose -3*m = -13 + b. Factor 1/4*l**m + 0*l - 1/4.
(l - 1)*(l + 1)/4
What is i in 3*i**2 - 36*i + 162 + 0*i**2 + 30 - 6*i**2 = 0?
-16, 4
Let w = -27 - -19. Let y(l) = l**2 - l - 1. Let a(i) = -4*i**3 + 16*i**2 - 8*i - 8. Let t(o) = w*y(o) + a(o). Let t(q) = 0. What is q?
0, 2
Let j = 169 + -169. Factor 0*m**2 + j*m + 1/6*m**3 + 0.
m**3/6
Suppose -5*f = -w - 20, 3*f + 4 = -3*w - 2. Let b(p) be the second derivative of 0 - 10*p + 3*p**2 + 1/4*p**4 - 3/2*p**f. What is l in b(l) = 0?
1, 2
Let f(k) be the first derivative of k**7/14 + k**6/10 + 7*k - 12. Let h(l) be the first derivative of f(l). Factor h(p).
3*p**4*(p + 1)
Suppose 129/5*d - 54/5 + 3*d**2 = 0. Calculate d.
-9, 2/5
Let t(a) be the first derivative of -4*a**3/15 + 41*a**2/5 + 132*a/5 - 375. Find o, given that t(o) = 0.
-3/2, 22
Let p(z) be the third deriva