4*w + 3 + 10*w**4 + 2*w**3 - 9 + 2*w**5 = 0. Calculate w.
-3, -1, 1
Let x = -68 - -103. Suppose 3*r - 63 = 3*f, r - 3*f = x - 4. Factor -28*p**4 - 84*p**3 - 25*p**2 + 224*p**4 - 71*p**2 - r*p.
4*p*(p - 1)*(7*p + 2)**2
Let x(n) be the third derivative of -1/30*n**4 - 3/100*n**6 + 1/504*n**8 + 1/18*n**5 + 0*n + 1/525*n**7 + 18*n**2 + 0*n**3 + 0. Solve x(i) = 0 for i.
-3, 0, 2/5, 1
Let t be (-412)/(-721) + (-27)/35 + (-14)/(-10). Solve 6/5*r**2 - 6/5*r + t*r**3 - 6/5 = 0.
-1, 1
Factor -24*f + 21*f**2 - 17*f**2 + 5*f**2 + 13*f**2.
2*f*(11*f - 12)
Factor 80/3 - 6*z**2 - 356/3*z.
-2*(z + 20)*(9*z - 2)/3
Factor 0*m**3 - 3/2*m**2 + 3/4*m**5 + 0 + 3/2*m**4 - 3/4*m.
3*m*(m - 1)*(m + 1)**3/4
Let b(j) be the third derivative of -j**5/60 + 3*j**4/8 - j**3 + 5*j**2. Let v be b(8). Factor -31*g**2 + 14*g**v + 20*g**2.
3*g**2
Let k(w) be the second derivative of 26*w + 0 - 10/3*w**3 - 10*w**2 - 5/12*w**4. Factor k(v).
-5*(v + 2)**2
Let g(j) be the first derivative of -5*j**4/12 + 5*j**3/3 - 5*j**2/2 + 10*j + 1. Let y(a) be the first derivative of g(a). Find x such that y(x) = 0.
1
Let q be 2/5 - 54/(-5)*54/162. Solve -8/3*l**2 + 0*l + 8/3*l**q + 2/3*l**3 - 2/3*l**5 + 0 = 0 for l.
-1, 0, 1, 4
Let s = 336 - 333. Find v, given that -s*v**2 + 0*v + 0 - 3/4*v**3 = 0.
-4, 0
Suppose 5*m = -2*h - 15, -3*h = 2*h - 2*m + 52. Let n be -2 + 2*(-12)/h. Solve 2/5*t**2 + 1/5*t**3 - 1/5*t - n = 0.
-2, -1, 1
Let i(y) be the third derivative of y**5/15 - y**4/2 - 2*y**2 - 43*y. Factor i(h).
4*h*(h - 3)
Let q(y) = -y**2 + 114*y - 3246. Let w(n) = 1. Let s(m) = q(m) - 3*w(m). Let s(t) = 0. Calculate t.
57
Let v = 73 - 66. Let 13*s**3 + s**4 + 4*s - 6*s**5 - v*s**4 - 12*s**2 + 7*s**5 = 0. What is s?
0, 1, 2
Let i(f) = 3*f - 4. Let o be i(-8). Let v be (0 - -4)/((-14)/o). Factor -3*u + v + 6*u**3 + 3 - 3*u**5 - 11.
-3*u*(u - 1)**2*(u + 1)**2
Let q(s) be the first derivative of 0*s - s**3 - 9/32*s**4 - 1 - 3/4*s**2 + 1/16*s**6 + 3/20*s**5. Determine w so that q(w) = 0.
-2, -1, 0, 2
Let b(w) be the first derivative of w**7/98 + w**6/7 + 39*w**5/140 - 15*w**4/7 + 18*w**3/7 + 31*w - 51. Let m(n) be the first derivative of b(n). Factor m(v).
3*v*(v - 1)**2*(v + 6)**2/7
Determine r so that -27/8*r**2 - 363/8 - 99/4*r = 0.
-11/3
Let x = -20/389 - -2434/1945. Suppose x*p + 0 + 8/5*p**3 + 28/5*p**2 - 12*p**4 + 18/5*p**5 = 0. What is p?
-1/3, 0, 1, 3
Let o(u) be the third derivative of u**5/150 + 7*u**4/60 + 2*u**3/3 + 2*u**2 + 12. Factor o(q).
2*(q + 2)*(q + 5)/5
Let x(q) be the second derivative of -q**6 + 8*q**5/5 + 91*q**4/6 - 8*q**3/3 - 12*q**2 + 4*q - 10. Let x(a) = 0. What is a?
-2, -1/3, 2/5, 3
Let i = -22214 + 111082/5. Let 0 + 12/5*z**2 + i*z + 3/5*z**3 = 0. What is z?
-2, 0
Let c be 33/(-9) + (0 - 4 - -8). What is x in -1/3*x**2 - 4/3*x**3 + c + 4/3*x = 0?
-1, -1/4, 1
Let n(i) be the third derivative of i**6/30 + 2*i**5/3 + 31*i**4/6 + 20*i**3 - i**2 - 42*i. Let n(k) = 0. Calculate k.
-5, -3, -2
Let s(n) be the first derivative of n**4/7 - 4*n**3/3 + 24*n**2/7 - 23. Factor s(u).
4*u*(u - 4)*(u - 3)/7
Let y(v) be the third derivative of v**6/480 + v**5/60 - 2*v**2 + 41*v. Factor y(m).
m**2*(m + 4)/4
Let w(q) be the third derivative of q**5/150 + 2*q**4/15 + q**3 + q**2 + 4. Solve w(l) = 0.
-5, -3
Solve -9*i**2 - 3/2*i**3 - 33/2*i - 9 = 0.
-3, -2, -1
Let b(j) be the first derivative of -j**6/160 + 9*j**5/40 - 27*j**4/8 + 27*j**3 + 8*j**2 - 29. Let x(y) be the second derivative of b(y). Solve x(l) = 0.
6
Let a = 54 - 16. Suppose a = 2*g + 32. Solve -f + 1/2 + f**g - 1/2*f**4 + 0*f**2 = 0 for f.
-1, 1
Let i(b) = -2*b**2 - 2*b + 24. Let r be i(3). Let t(q) be the second derivative of -1/36*q**4 - 1/18*q**3 - q + 0*q**2 + r. Factor t(s).
-s*(s + 1)/3
Let p(f) be the third derivative of 0 + 17*f**2 - 3/10*f**5 - 1/120*f**6 - 36*f**3 - 9/2*f**4 + 0*f. Factor p(g).
-(g + 6)**3
Let 130*g**2 + 8*g - 24*g**3 + 4*g**5 + 11*g - 64*g**2 + 13*g - 50*g**2 - 4*g**4 = 0. Calculate g.
-2, -1, 0, 2
Let g(b) be the first derivative of -b**5 - 75*b**4/2 - 375*b**3 - 119. Factor g(c).
-5*c**2*(c + 15)**2
Let v(a) = -a**2 + 292*a - 1993. Let j be v(7). Determine p, given that 0 + 4*p**3 - 16/3*p + 4/3*p**4 + 0*p**j = 0.
-2, 0, 1
Let o(f) = 3*f**2 - 3*f + 4. Let g(z) = -8*z**2 + 12*z - 11. Let b(r) = -4*g(r) - 11*o(r). Let b(l) = 0. What is l?
-15, 0
Solve -6 - 4*h**3 + 60*h**2 - 145*h - 47*h - 250 = 0.
-1, 8
Let 5*c**2 + 328 + 0*c**2 - 583 + 315 - 40*c = 0. What is c?
2, 6
Let z(q) be the first derivative of q**3/9 - 2*q**2/3 + q + 552. Factor z(m).
(m - 3)*(m - 1)/3
Let w(l) = -274*l + 3288. Let h be w(12). Factor -3/7*d + 8/7*d**2 + h + 15/7*d**3 + 4/7*d**4.
d*(d + 1)*(d + 3)*(4*d - 1)/7
Find m such that -2*m**3 + 16534 + m**4 + 4*m**2 - 16534 - 2*m**3 = 0.
0, 2
Let c(k) be the third derivative of 121*k**7/280 - 341*k**6/80 + 829*k**5/80 + 93*k**4/8 + 9*k**3/2 + 5*k**2. Factor c(r).
3*(r - 3)**2*(11*r + 2)**2/4
Let h be ((-636)/1166)/((-6)/22). Factor 0*m + 2/3*m**h - 2/3.
2*(m - 1)*(m + 1)/3
Determine t, given that -3*t**3 + 108*t - 24*t**3 + 21*t**3 + 45*t**2 - 3*t**4 = 0.
-3, 0, 4
Let x be 4/(-9 + (-8 - -19)). Factor -h**5 + 0*h**x + 0*h + 0*h**3 + 0 - 2/3*h**4.
-h**4*(3*h + 2)/3
Let y(s) be the first derivative of 7*s**3/4 - 65*s**2/8 + 3*s/2 - 221. Suppose y(p) = 0. Calculate p.
2/21, 3
Let a(u) be the third derivative of 0*u - 1/204*u**4 + 0 - 1/510*u**5 + 2/51*u**3 - 12*u**2. Determine j so that a(j) = 0.
-2, 1
Let d be (-2 - (7 - -3))/(-3). Suppose -5*s - 2*c = -4, -2*c = -2*s - d*c + 4. Find h, given that 3/5*h**2 + s*h + 6/5*h**3 + 0 + 3/5*h**4 = 0.
-1, 0
Let q(l) be the second derivative of l**6/30 - 7*l**5/10 + 11*l**4/4 + 56*l**3/3 + 32*l**2 - 95*l. Find n, given that q(n) = 0.
-1, 8
Suppose 0 = -2*n + 5*g - 1, -5*n = -5*g - 17 - 18. Factor 2 - 2*v + n - 6 - v**2.
-(v - 2)*(v + 4)
Factor -1/2*y**5 + 9/2*y**4 - 29/2*y**3 + 43/2*y**2 + 4 - 15*y.
-(y - 4)*(y - 2)*(y - 1)**3/2
Let o(j) be the second derivative of -j**6/6 + 3*j**5/5 + j**4/12 - 2*j**3 + 2*j**2 + 6*j - 3. Solve o(b) = 0.
-1, 2/5, 1, 2
Let s(k) be the second derivative of k**6/192 - 3*k**5/80 + k**4/16 + k**3/6 - 27*k**2/2 - 12*k. Let x(j) be the first derivative of s(j). Factor x(p).
(p - 2)**2*(5*p + 2)/8
Let x be (-880)/(-34) + (-28)/(-238). Let m be (x/10 - 2)*5. Determine t so that -4*t**m + 7*t**3 + 4*t**2 - t**2 = 0.
-1, 0
Let a(h) be the third derivative of 0 - 1/60*h**4 - 1/150*h**5 + 0*h + 0*h**3 + 2*h**2. Solve a(i) = 0.
-1, 0
Let k be -3 - (4370/(-3315) + 0 + -1). Let u = 28/51 - k. Factor u*n - 32/13 - 2/13*n**2.
-2*(n - 4)**2/13
Suppose 46 = -9*d + 145. Suppose -10*n = -d*n + 2. Determine s, given that -3/2 - 3/2*s**3 + 3/2*s**n + 3/2*s = 0.
-1, 1
Let b(w) = -5*w**2 - 8*w - 2. Let m(h) = -h**2 - 4. Let a(i) = b(i) - 3*m(i). Factor a(l).
-2*(l - 1)*(l + 5)
Let i(m) be the second derivative of 3*m**4/2 - 37*m**3/2 + 9*m**2 - 205*m. Find p such that i(p) = 0.
1/6, 6
Let d(o) = -o**3 + 5*o**2 - 7*o + 5. Let v be d(2). Factor 20*g**4 + 5*g**5 - 36*g**v - 2*g**5 + 28*g**2 - 5*g**5 - 2*g**5 - 8*g.
-4*g*(g - 2)*(g - 1)**3
Suppose -5 = 5*y - 15. Let m(w) = -4*w**2 + 6*w + 0*w**2 + 4*w**3 - w**2 - w**2 - 1 - w**4. Let s(c) = c. Let i(u) = y*s(u) - m(u). Solve i(n) = 0.
1
Let y(p) be the third derivative of -p**6/20 + 7*p**5/30 + p**4/2 + 105*p**2 - p. Factor y(q).
-2*q*(q - 3)*(3*q + 2)
Let z(b) be the third derivative of 0*b + 12*b**2 + 1/20*b**6 + 2/3*b**3 - 1/4*b**4 - 1/105*b**7 - 1/30*b**5 + 0. Factor z(r).
-2*(r - 2)*(r - 1)**2*(r + 1)
Let w = -827 - -831. Suppose 44/3*a**w + 64/3*a**2 - 26/3*a - 10/3*a**5 - 76/3*a**3 + 4/3 = 0. What is a?
2/5, 1
Let o(t) be the third derivative of t**8/84 - 16*t**7/105 - 16*t**2 - t. Let o(l) = 0. What is l?
0, 8
Suppose -w = -2*k + 1, 0*k - 3*k = -9. Let l be 0 + w + 9/(-2). Factor -1/2*h**2 + l - 1/4*h**3 + 1/4*h.
-(h - 1)*(h + 1)*(h + 2)/4
Let y(m) be the third derivative of 0*m - 1/24*m**4 - 1/120*m**6 + 1/30*m**5 + 0 + 12*m**2 + 0*m**3. Suppose y(z) = 0. What is z?
0, 1
Let i be 7/28 - (-3)/4. Let t be ((-9)/(-54) - (i + -1))/1. Factor -1/3*g**2 + t*g**4 + 1/6 - 1/6*g - 1/6*g**5 + 1/3*g**3.
-(g - 1)**3*(g + 1)**2/6
Let z(d) be the first derivative of 7/3*d**3 + 3 + 1/120*d**4 - 1/300*d**5 + 0*d**2 + 0*d + 1/1800*d**6. Let v(m) be the third derivative of z(m). Factor v(s).
(s -