hird derivative of m(b). Suppose r(g) = 0. What is g?
-1, 0, 1
Let y = 3 + -2. Let o(f) be the first derivative of 4/7*f - 2/35*f**5 + 5/7*f**2 - 1/14*f**4 - y + 2/7*f**3. Determine x, given that o(x) = 0.
-1, 2
Suppose 3*u = -m + 2 - 15, -3*m = -4*u. Let t be (u - -2)/(28/(-8)). Suppose 0*g + 0 + t*g**2 + 2/7*g**3 = 0. What is g?
-1, 0
Let y(a) be the second derivative of -a**7/7560 - a**6/1080 - a**5/360 - a**4/4 + a. Let r(w) be the third derivative of y(w). Factor r(j).
-(j + 1)**2/3
Let w(y) = 2*y**5 + 4*y**4 - y**3 - 3*y**2 - 3*y + 3. Let z(l) = 8*l**5 + 16*l**4 - 3*l**3 - 11*l**2 - 11*l + 11. Let g(b) = 22*w(b) - 6*z(b). Factor g(f).
-4*f**3*(f + 1)**2
Let j be ((-1)/(-3))/((-1)/(-12)). Let h(b) be the first derivative of -3/8*b**j - 3/2*b + 1/2*b**3 - 3 + 3/4*b**2. Let h(s) = 0. Calculate s.
-1, 1
Let n = -553/3 + 187. Find c such that -2/3*c**3 - n*c + 0 - 8/3*c**2 = 0.
-2, 0
Let k(o) be the second derivative of -o**4/36 - 2*o**3/9 - 2*o**2/3 + 5*o. Determine x so that k(x) = 0.
-2
Let j(v) be the third derivative of v**6/720 + v**5/80 + v**4/24 - v**3/3 + 4*v**2. Let x(o) be the first derivative of j(o). Factor x(p).
(p + 1)*(p + 2)/2
Let d(w) = w**3 - 4*w**2 + w - 2. Let t be d(4). Let f = -7 + 10. Factor -4*o - 2 + o**2 - t + 2 - f*o**2.
-2*(o + 1)**2
Suppose -15*f**2 + 4*f**5 + 63*f**2 + 52*f**3 + 24*f**4 - f**5 + 16*f + f**5 = 0. Calculate f.
-2, -1, 0
Let r(p) be the third derivative of 0*p + 0*p**3 + 0*p**4 - 1/105*p**7 + 0 + 1/60*p**6 + 4*p**2 - 1/168*p**8 + 1/30*p**5. Solve r(n) = 0.
-1, 0, 1
Let p(k) = k**3 + 4*k**2 + 4*k + 3. Let v be p(-2). Suppose 3*c - v = 9. Let 1/2*m - 1/4 + 1/4*m**c - 1/2*m**3 + 0*m**2 = 0. Calculate m.
-1, 1
Suppose -4*q + 4 = -3*q. Suppose -i - 4 = w, 5*w - 4*i + 5 = 21. Factor 0*x**2 + w*x**2 + 2*x**2 + 2*x**q + 4*x**3.
2*x**2*(x + 1)**2
Let q be 4280/(-321)*(-2)/30. Factor -10/9*o + q + 2/9*o**2.
2*(o - 4)*(o - 1)/9
Let d(u) be the third derivative of u**6/660 + u**5/33 + 25*u**4/132 + 26*u**2. Factor d(s).
2*s*(s + 5)**2/11
Let c = -45 - -136/3. Let b(m) be the first derivative of -1/3*m**2 + 1 - c*m - 1/9*m**3. Factor b(g).
-(g + 1)**2/3
Let -12/5*f**5 + 0 - 9*f**3 - 3/5*f - 21/5*f**2 - 39/5*f**4 = 0. Calculate f.
-1, -1/4, 0
Let m be (-2)/4*0/(-1). Suppose -f = -m*f - 2. Factor 0*d**3 + 0*d**3 - f*d**3 + 2*d.
-2*d*(d - 1)*(d + 1)
Let o(v) = -v + 11. Suppose 0 = -3*t + 11 + 16. Let u be o(t). Suppose -1/4*x**3 - 3/4*x - 1/4 - 3/4*x**u = 0. Calculate x.
-1
Let j(g) = -3*g + 11. Let n be j(-5). Let u = n - 77/3. Solve -x - 2/3 + 1/3*x**4 + x**3 + u*x**2 = 0 for x.
-2, -1, 1
Let f(m) be the first derivative of m**5/30 + m**4/9 + m**3/9 - m - 3. Let z(s) be the first derivative of f(s). Solve z(w) = 0.
-1, 0
Suppose 0 = -4*c + 6 + 10. Factor -8*y**3 + c*y - 9 + 5 + 4*y**4 + 4*y.
4*(y - 1)**3*(y + 1)
Let d(z) = 11*z**4 + 14*z**3 + 6*z**2. Let w(t) = -23*t**4 - 27*t**3 - 13*t**2. Let k(g) = 13*d(g) + 6*w(g). Factor k(p).
5*p**3*(p + 4)
Find v such that 3/7*v**3 + 5/7*v**2 - 3/7*v - 4/7*v**4 - 1/7 = 0.
-1, -1/4, 1
Let o(c) be the first derivative of -c**6/540 + c**5/90 - c**4/36 - 2*c**3 - 3. Let l(m) be the third derivative of o(m). Factor l(k).
-2*(k - 1)**2/3
Let o = 61/225 - 4/25. Let h(n) be the third derivative of -1/45*n**6 + o*n**3 - 5/36*n**4 + 0*n + n**2 + 4/45*n**5 + 0. Determine z, given that h(z) = 0.
1/2, 1
Solve 16*b**5 - b**5 + 170*b**4 + 96 - 26*b**4 + 480*b + 555*b**3 + 798*b**2 + 12*b**4 = 0.
-4, -1, -2/5
Let x(v) be the second derivative of -v**7/15 - 3*v**6/25 + 34*v**5/25 - 6*v**4/5 - 16*v**3/15 - 21*v. Suppose x(h) = 0. What is h?
-4, -2/7, 0, 1, 2
Let s be 535/(-5)*(-4)/(-18). Let a = s - -24. Factor a + 4/9*b - 2/3*b**2.
-2*(b - 1)*(3*b + 1)/9
Let l(g) be the second derivative of -g**4/54 + g**3/27 - 24*g. Factor l(z).
-2*z*(z - 1)/9
Let f(u) be the third derivative of -u**7/1470 + u**6/840 + u**5/420 - u**4/168 + 44*u**2. Factor f(l).
-l*(l - 1)**2*(l + 1)/7
Suppose -p = 5*u - 4*p - 17, 2*u = 2*p + 6. Factor 8*y - 6*y**2 + 2*y**3 - 1/4*y**4 - u.
-(y - 2)**4/4
Let q(b) be the third derivative of -b**7/630 + b**6/360 + b**5/180 - b**4/72 + 7*b**2. What is v in q(v) = 0?
-1, 0, 1
Suppose 0 = 11*p + p - 24. Factor -3 + 9/4*y**p - 3/4*y**4 - 3/2*y**3 + 3*y.
-3*(y - 1)**2*(y + 2)**2/4
Let r(z) be the second derivative of z**4/18 - 7*z. Factor r(s).
2*s**2/3
Let z(v) = 2*v**2 + 5*v + 1. Let a be z(-2). Let t be a + 3/(-3)*-4. Find g such that -1/2*g**4 + 1/2 - g + g**t + 0*g**2 = 0.
-1, 1
Let c(l) be the second derivative of -2*l**6/15 + 2*l**4/3 - 2*l**2 + 20*l. Find h such that c(h) = 0.
-1, 1
Let p(k) = 2*k - 1. Let j be p(2). Suppose -j*a = -4*a. Suppose 1/6*c**2 - 1/6*c**4 + 0 - 1/6*c**5 + a*c + 1/6*c**3 = 0. Calculate c.
-1, 0, 1
Let d(m) be the second derivative of 1/10*m**4 - 3/100*m**5 + 0*m**3 + 0 - 11/50*m**6 + 0*m**2 + 4*m + 1/7*m**7. Solve d(b) = 0 for b.
-2/5, 0, 1/2, 1
Let k(s) = -11*s - 526. Let x be k(-48). Let -8/7*p - 44/7*p**4 - 10/7*p**5 - 66/7*p**3 + 0 - 40/7*p**x = 0. Calculate p.
-2, -1, -2/5, 0
Find q, given that -24*q - 2 + 9*q - q**2 + 12*q = 0.
-2, -1
Let k(o) be the second derivative of -5*o**7/42 + o**6/15 + o**5/4 - o**4/6 - 17*o. Find q, given that k(q) = 0.
-1, 0, 2/5, 1
Find v such that 8*v + 6 + 6*v - 2 + 10*v**3 + 18*v**2 + 2*v**4 = 0.
-2, -1
Suppose 3*w = -4*l - 17 + 43, -31 = -3*w - 5*l. Let c(f) = -5*f**2 - 46*f - 6. Let b be c(-9). Suppose 5/2*u**w - u + 0 - u**b = 0. What is u?
0, 1/2, 2
Suppose 20 = 10*j - 6*j - 3*b, 0 = j + b + 2. Solve -2/15*q**3 + 0 + 2/15*q**4 + 0*q + 0*q**j = 0 for q.
0, 1
Let u(w) be the first derivative of w**5/15 - w**3/3 - w**2/3 + 8. Solve u(o) = 0 for o.
-1, 0, 2
Let n(h) be the third derivative of 3*h**2 + 0 + 0*h**3 + 0*h - 1/120*h**5 - 1/24*h**4. Factor n(k).
-k*(k + 2)/2
Suppose -4*w = -2*w - 4. Solve 12*j**3 + 4*j - 15*j**w - 3*j**4 - 2*j**4 + 2*j + 2*j**4 = 0.
0, 1, 2
Let t be -2 - -6 - (-8)/4. Factor -6*f**2 + 12*f**3 - 2*f**4 + 2*f**4 + 2*f**5 - 5*f**5 + t - 9*f.
-3*(f - 1)**3*(f + 1)*(f + 2)
Let r(i) = 36*i**2 + 378*i + 1701. Let j(w) = -5*w**2 - 54*w - 243. Let o(k) = -15*j(k) - 2*r(k). Find d, given that o(d) = 0.
-9
Let z = -19 - -13. Let t(r) = -7*r**2 + 7*r + 6. Let a(h) = -8*h**2 + 8*h + 7. Let x(p) = z*a(p) + 7*t(p). Factor x(q).
-q*(q - 1)
Let c(d) = 4*d**4 + 6*d**3 + 4*d**2 + 2*d - 2. Let y(v) = -5*v**4 - 6*v**3 - 3*v**2 - 2*v + 3. Let r(h) = -3*c(h) - 2*y(h). Factor r(k).
-2*k*(k + 1)**3
Suppose 2*l - 10 = -0*l - o, -4*o + 13 = -l. Let d = 120/13 - 814/91. Let -2/7*v**l - 6/7*v**2 - 6/7*v - d = 0. Calculate v.
-1
Factor 0*p + 0 - 3/7*p**2 - 9/7*p**3 - 9/7*p**4 - 3/7*p**5.
-3*p**2*(p + 1)**3/7
Let w(z) be the first derivative of -z**8/1176 + 2*z**7/735 - z**6/420 + z**2/2 - 2. Let h(o) be the second derivative of w(o). Let h(d) = 0. Calculate d.
0, 1
Let p(c) be the second derivative of c**5/300 + 3*c**2/2 - 2*c. Let o(b) be the first derivative of p(b). Determine s, given that o(s) = 0.
0
Let u(p) be the third derivative of p**6/420 + p**5/210 - 7*p**2. Find s such that u(s) = 0.
-1, 0
Let j(r) = r**2 - 5*r - 3. Let t be j(6). Solve -t*f + 3 - 2 + 1 - 3*f**2 + 4 = 0 for f.
-2, 1
Determine y so that -204*y**2 - 278*y - 61*y**4 + 204*y**3 - 14*y**4 + 9*y**5 + 326*y = 0.
0, 1/3, 2, 4
Let n(p) = -3*p - 3. Let d be n(-5). Suppose 0 = -3*m + d. Factor -3 + 5 - 3*g**2 - m*g + 3*g.
-(g + 1)*(3*g - 2)
Let n(k) = -6*k - 10 - 4*k + 8*k. Let w be n(-5). Factor 0*s + 0*s**2 + w + 4/3*s**3 - 2*s**4.
-2*s**3*(3*s - 2)/3
Let k(a) be the first derivative of 0*a - 2/15*a**5 - 2/9*a**3 + 7 + 1/3*a**4 + 0*a**2. Factor k(w).
-2*w**2*(w - 1)**2/3
Let g(k) be the second derivative of 0*k**2 + 0 - 1/60*k**4 + 0*k**3 - 3*k. Factor g(c).
-c**2/5
Suppose 40 = -y - 3*y. Let f = y + 13. Factor 1/3*s + 0 + 0*s**2 - 1/3*s**f.
-s*(s - 1)*(s + 1)/3
Let a(r) = -r**3 - 15*r**2 - 5*r + 14. Let z be a(-13). Let n = z + 1301/5. Solve -4/5 - n*t - 2/5*t**2 = 0.
-2, -1
Let z(y) be the third derivative of y**8/3360 + y**7/252 + y**6/45 + y**5/15 + y**4/8 + 3*y**2. Let q(g) be the second derivative of z(g). Factor q(c).
2*(c + 1)*(c + 2)**2
Let a(g) = 6*g**4 + 9*g**3 + 4*g**2. Let k(l) = 2*l**4 + 3*l**4 - 3*l**4 + l**3 - l**4. Let q(y) = -a(y) + 5*k(y). What is h in q(h) = 0?
-2, 0
Let g(i) = 0*i + 3*i**2 - 7*i**2 + 1 + 5*i**2 - 2*i