hat -42/5*c - 3/5*c**j - 147/5 = 0.
-7
Let n(u) be the second derivative of -36*u - 1/4*u**5 + 0 + 0*u**2 + 5/3*u**3 + 5/12*u**4. Suppose n(q) = 0. Calculate q.
-1, 0, 2
Let m(o) = 2*o - 12. Let p be m(8). Factor -10*f**5 - p*f**3 - 7*f**3 + 4*f - 8*f**3 + f**3 - 26*f**4 + 2*f**2.
-2*f*(f + 1)**3*(5*f - 2)
Let a(p) be the first derivative of p**7/168 - p**6/36 - p**5/24 + 5*p**4/12 - 4*p**3/3 + 16. Let i(c) be the third derivative of a(c). Factor i(w).
5*(w - 2)*(w - 1)*(w + 1)
Let d(k) be the first derivative of 1/3*k**2 + 14/15*k**5 + 19/6*k**4 + 10/3*k**3 - 6 - 4/3*k. Suppose d(w) = 0. Calculate w.
-1, 2/7
Let l(r) be the second derivative of 4225*r**4/3 + 260*r**3 + 18*r**2 - 288*r. Factor l(m).
4*(65*m + 3)**2
Let d(w) be the second derivative of 1/60*w**4 + 18/5*w**2 + 0 - 4*w + 2/5*w**3. Factor d(l).
(l + 6)**2/5
Let z(r) be the second derivative of 9/5*r**2 + 1/30*r**4 - 2/5*r**3 + 9*r + 0. Solve z(c) = 0 for c.
3
Factor 18/5*u + 0 + 2/5*u**2.
2*u*(u + 9)/5
Let u = -79 - -37. Let k be 9/21 + (-87)/u. Factor -15/2*z**3 - 5*z - 25/2*z**2 + 0 + k*z**5 + 5/2*z**4.
5*z*(z - 2)*(z + 1)**3/2
Let q be 3/(18/(-30))*(715/(-225) - -3). Factor -56/9*t + 98/9*t**2 + q.
2*(7*t - 2)**2/9
Suppose 0 = -3*c - 2*x + 13, c = 8*x - 13*x + 13. Let 2/5*r**2 + 6/5*r**c + 6/5*r**4 + 2/5*r**5 + 0 + 0*r = 0. What is r?
-1, 0
Let x(n) be the third derivative of 0 - 8*n**2 + 3*n**4 - 16/3*n**3 + 3/20*n**6 - 14/15*n**5 - 4*n - 1/105*n**7. Determine y, given that x(y) = 0.
1, 2, 4
Suppose 11*d - 2*d + 129 = 147. Solve -2/3*i + 8/3 - d*i**2 = 0.
-4/3, 1
Let z = -56 + 62. Suppose -3*n = 5*f - 3*f - z, 6 = 3*n - f. Factor 6*l**n + 18 - 18*l - 2/3*l**3.
-2*(l - 3)**3/3
Let d(l) be the second derivative of l**6/75 + 8*l**5/25 - 9*l**4/5 + 56*l**3/15 - 19*l**2/5 + 147*l. Factor d(r).
2*(r - 1)**3*(r + 19)/5
Let x = -1/532 + 535/1596. Factor x*b**3 + 2/3*b + 0 + b**2.
b*(b + 1)*(b + 2)/3
Let c(p) = -12*p + 120. Let w be c(10). Let i(x) be the second derivative of w - 6*x + 1/2*x**4 + 2/3*x**3 - x**2. Factor i(d).
2*(d + 1)*(3*d - 1)
Let a(q) = -19*q**2 + 293*q + 608. Let z(w) = -140*w**2 + 2050*w + 4255. Let i(g) = 15*a(g) - 2*z(g). Factor i(f).
-5*(f - 61)*(f + 2)
Let j be (12/15)/((-81)/15)*42/(-28). Factor -1/9*o**3 + 1/3*o + j*o**2 + 0.
-o*(o - 3)*(o + 1)/9
Suppose -7*a + 11*a = -396. Let k = a + 299/3. Factor -v**3 + k - 7/3*v + 8/3*v**2.
-(v - 1)**2*(3*v - 2)/3
Suppose -28 + 1 = -3*w. Let d be -2 - (-1 + -2) - -1. What is o in -4*o - 3*o**2 + 2 + w*o**d - 5*o + o = 0?
1/3, 1
Let o = 7 + -6. Let f be 4 - 21/9 - o. Let 0*i + 2*i**4 + 0 + 2/3*i**5 + f*i**2 + 2*i**3 = 0. What is i?
-1, 0
Factor -4*c + 42/11 + 2/11*c**2.
2*(c - 21)*(c - 1)/11
Suppose -18*q + 2*q + 3*q**2 + 79*q + 0*q**2 + 114 = 0. What is q?
-19, -2
Let f = 0 - -3. Let u(v) = 2*v**2 - 6*v + 10. Let y be u(2). What is t in 0*t**4 + 0*t - t**4 + 2*t + y*t**f + 3*t**4 + 6*t**2 = 0?
-1, 0
Let a(i) be the second derivative of i**4/102 - 149*i**3/51 + i - 361. Factor a(t).
2*t*(t - 149)/17
Let m be (-14 - -12) + -4*16/(-30). Let l(v) be the first derivative of 0*v**2 + 6 + m*v**3 - 2/5*v. Factor l(r).
2*(r - 1)*(r + 1)/5
Let s(q) be the third derivative of 5/16*q**4 - 1/16*q**6 + 0*q + 1/20*q**5 + 14*q**2 - 1/2*q**3 + 0. Factor s(w).
-3*(w - 1)*(w + 1)*(5*w - 2)/2
Find t, given that -625/2 - 77*t**3 - 3/2*t**4 - 1038*t**2 - 1275*t = 0.
-25, -1, -1/3
Let m(q) be the third derivative of 0*q**5 - 1/150*q**6 + 1/60*q**4 + 1/840*q**8 + 22*q**2 + 0*q**3 + 0*q**7 + 0*q + 0. Factor m(f).
2*f*(f - 1)**2*(f + 1)**2/5
Let z(u) = -4*u**3 + 13*u**2 + 12*u + 5. Let l(w) = -10*w**3 + 32*w**2 + 30*w + 12. Let j = -46 - -41. Let h(q) = j*l(q) + 12*z(q). Factor h(x).
2*x*(x - 3)*(x + 1)
Factor 2/9*p**3 + 0*p + 2/9*p**4 - 4/9*p**5 + 0*p**2 + 0.
-2*p**3*(p - 1)*(2*p + 1)/9
Suppose 0*f + 29/3*f**2 + 1/3*f**3 + 0 = 0. What is f?
-29, 0
Let r(b) be the first derivative of 17 - b - b**2 - 1/4*b**3. Let r(g) = 0. Calculate g.
-2, -2/3
Let r be 16 - (-207)/(-46) - 7. Factor -3/4*l**3 + 0 + 3/2*l**2 + 0*l - r*l**4.
-3*l**2*(2*l - 1)*(3*l + 2)/4
Let q(r) be the second derivative of 0 + 1/66*r**4 + 15*r + 5/33*r**3 + 6/11*r**2. Find y such that q(y) = 0.
-3, -2
Let f be 3/(-267)*6/(-3). Let r = f - -85/178. Factor 1/2*k**3 + r - 1/2*k**2 - 1/2*k.
(k - 1)**2*(k + 1)/2
Suppose -92 + 98 = 3*s. Let p(h) be the third derivative of 1/54*h**5 + 4*h**s + 0 + 0*h - 2/27*h**4 + 4/27*h**3 - 1/540*h**6. Find j such that p(j) = 0.
1, 2
Let h(f) = f + 11. Let v be h(-11). Suppose -5*m + 4*m + 2 = v. Factor 2/7*c**m + 4/7*c + 0.
2*c*(c + 2)/7
Let a be (45/10 + -4)*(-11 - (-238)/21). Find u, given that -1/6*u + a + 1/6*u**3 - 1/6*u**2 = 0.
-1, 1
Solve 147*j**3 + 435*j**3 - 1338*j**2 + 8*j**4 - 133 + 898*j - 17 = 0.
-75, 1/4, 1
Let r(t) be the first derivative of -t**3/18 + 17*t**2/12 + 10*t + 128. Solve r(y) = 0 for y.
-3, 20
Let d be (-4)/(-32)*304/19. Let m = -19 - -19. Let -1/5*x + 0 + 1/5*x**3 + m*x**d = 0. What is x?
-1, 0, 1
Suppose -4 - 12 = 8*y. Let v(q) = q**4 + q**3 + q - 1. Let s(p) = 44*p**5 - 34*p**4 - 6*p**3 + 2*p - 2. Let u(i) = y*v(i) + s(i). Factor u(t).
4*t**3*(t - 1)*(11*t + 2)
Let s(c) be the second derivative of c**4/60 - c**3/10 - 2*c**2/5 - 3*c + 76. Factor s(x).
(x - 4)*(x + 1)/5
Let f(h) be the second derivative of -h**6/15 - h**5/10 + 3*h**4/2 - 11*h**3/3 + 4*h**2 + 12*h. Factor f(z).
-2*(z - 1)**3*(z + 4)
Let q(s) be the first derivative of -98*s**5/5 - 84*s**4 - 176*s**3/3 + 96*s**2 - 32*s + 536. Factor q(g).
-2*(g + 2)**2*(7*g - 2)**2
Let g be 4 + -7 - 46/(-14). Let z = 133 - 133. Factor -2/7*q + g*q**3 + z*q**2 + 0.
2*q*(q - 1)*(q + 1)/7
Let h(j) be the first derivative of 5*j**4/4 + 100*j**3 + 3000*j**2 + 40000*j - 123. Factor h(p).
5*(p + 20)**3
Let z(x) = -8*x + 62. Let j be z(7). Let v be ((-2)/75*-5)/(1/j). What is w in v*w**2 - 2/5*w**5 + 2/5*w + 0 + 0*w**3 - 4/5*w**4 = 0?
-1, 0, 1
Let s(v) be the first derivative of -5*v**4/4 + 26*v**3 - 144*v**2 - 128*v + 24. Determine t, given that s(t) = 0.
-2/5, 8
Suppose -3*o = -i - 14, o - 5*o = -3*i - 22. Let f(s) be the first derivative of 3/8*s**o - 15/4*s**2 - 3/2*s**3 + 3/10*s**5 - 3*s + 3. Factor f(b).
3*(b - 2)*(b + 1)**3/2
Suppose -5*b = -33 + 23. Let -7*o - o - 5*o**b + 2*o - 9*o = 0. Calculate o.
-3, 0
Let m(i) be the second derivative of -i**4/12 + 2*i**3/3 - 2*i**2 - 23*i. Factor m(h).
-(h - 2)**2
Determine y, given that 45/4*y + 93/8*y**2 + 3/8*y**3 + 0 = 0.
-30, -1, 0
Let f(x) be the third derivative of x**7/630 + x**6/60 + x**5/20 - x**4/18 - 2*x**3/3 - 198*x**2. Suppose f(a) = 0. Calculate a.
-3, -2, 1
Let z(r) be the third derivative of r**8/504 - 17*r**7/1260 + r**6/45 - r**5/120 + 5*r**2. Solve z(m) = 0.
0, 1/4, 1, 3
Suppose 0 = -5*x - 0*x. Let d be (-72)/20 + 4 + x. Factor -2/5*a**2 - d*a**3 + 0*a + 0.
-2*a**2*(a + 1)/5
Let k be (1/280)/((-8)/(-20))*-374. Let f = k - -29/8. Factor 0 + f*x**2 - 2/7*x.
2*x*(x - 1)/7
Let a(x) be the second derivative of x**6/300 - x**5/20 - 17*x**4/40 - 17*x**3/15 - 7*x**2/5 + 32*x. Factor a(q).
(q - 14)*(q + 1)**2*(q + 2)/10
Suppose 2*s = -30*c + 27*c - 1, 5*s = -5*c - 10. Let q(y) be the first derivative of -8 - 2/33*y**c + 0*y - 2/11*y**2. Factor q(b).
-2*b*(b + 2)/11
Suppose 0 = 15*r - 12*r - 9. Let f(g) be the second derivative of 0*g**2 + 0 + 0*g**4 + 1/24*g**r - 1/80*g**5 + g. Suppose f(h) = 0. What is h?
-1, 0, 1
Let x(j) be the third derivative of -j**7/6 - 23*j**6/24 - 9*j**5/4 - 65*j**4/24 - 5*j**3/3 + 4*j**2 - 6*j. Factor x(g).
-5*(g + 1)**3*(7*g + 2)
Factor 49/6*t**4 + 0 + 2/3*t - 4*t**2 + 7/2*t**3.
t*(t + 1)*(7*t - 2)**2/6
Let v be ((-550)/200)/((-30)/8) - -3. Determine k so that 22/5*k**3 - 8/3*k**2 + 32/15 - v*k + 6/5*k**4 = 0.
-4, -1, 2/3
Let m(h) = -3*h**3 + 36*h**2 - 117*h + 112. Let t(i) = 2*i**3 - 32*i**2 + 118*i - 112. Let r(y) = -6*m(y) - 7*t(y). Factor r(n).
4*(n - 4)*(n - 1)*(n + 7)
Let f(p) = -p**2 + 8*p + 11. Let x(r) = -2*r**2 - 19*r - 34. Let m(k) = k**2 + 20*k + 34. Let a(b) = 6*m(b) + 5*x(b). Let d(w) = 2*a(w) - 7*f(w). Factor d(s).
-(s + 3)**2
Let p(v) be the third derivative of 0*v - 2/21*v**4 + 0 - 1/105*v**7 - 3/70*v**6 - 1/1176*v**8 - 20*v**2 + 0*v**3 - 2/21*v**5. Factor p(b).
-2*b*(b + 1)*(b + 2)**3/7
Let h(k) be the first derivative of 8*k**5/5 + 19*k**4 - 152*k**3 + 328*k**2 - 224*k - 2