0.
-1, 0, 1
Let d(b) = -2*b**2 + 4*b + 4. Let g(y) = -y**2 + 4*y + 4. Suppose 0 = -3*i + 4 - 13. Let m(f) = i*g(f) + 2*d(f). Solve m(w) = 0 for w.
-2
Let d(j) = j**3 - 13*j**2 - 11*j - 28. Let s be d(14). Let a be (-8)/(-20)*(s + -4). Determine f so that f**2 + 1/3*f**a + f**3 + 1/3*f + 0 = 0.
-1, 0
Let t(r) be the second derivative of r**7/70 + 13*r**6/360 - r**4/24 + r**3/6 + 2*r. Let q(z) be the second derivative of t(z). Determine n so that q(n) = 0.
-1, -1/3, 1/4
Let k(z) = z**2 + 10*z - 5. Let b be k(-11). Let p(x) be the second derivative of 0*x**2 - 1/6*x**4 - 1/20*x**5 + 0*x**3 - 2*x + 1/10*x**b + 0. Factor p(l).
l**2*(l - 1)*(3*l + 2)
Let p = -1121/60 + 75/4. Let u(y) be the first derivative of 0*y**3 + p*y**5 + 0*y**2 - 1/12*y**4 - 1 + 0*y. Factor u(o).
o**3*(o - 1)/3
Let k(q) be the second derivative of -q**7/35 - q**6/150 + 7*q**5/100 + q**4/60 - q**3/30 + 2*q. Solve k(i) = 0.
-1, -1/2, 0, 1/3, 1
Let t be 10/45 - (-9)/(-42). Let v(w) be the second derivative of 1/90*w**6 + 0 + 0*w**2 + 1/60*w**5 + 0*w**3 - 2*w - 1/36*w**4 - t*w**7. Factor v(h).
-h**2*(h - 1)**2*(h + 1)/3
Suppose -3*s + 7*s - 2*b = 0, 0 = 5*s + 5*b. Suppose 0 = -0*q + 5*q + t, s = q - 4*t. Determine d, given that q + 0*d - 1/2*d**3 - 1/4*d**4 - 1/4*d**2 = 0.
-1, 0
Let b be (-16)/(-42) + (60/(-35))/(-6). Factor -3*x**2 + b*x + 0 + x**5 + 5*x**3 - 11/3*x**4.
x*(x - 1)**3*(3*x - 2)/3
Let c(p) = 28*p**3 + 44*p**2 + 68*p + 20. Let k(f) = 9*f**3 + 15*f**2 + 23*f + 7. Let t(i) = -5*c(i) + 16*k(i). Factor t(w).
4*(w + 1)**2*(w + 3)
Let h(f) be the second derivative of 3*f**5/40 - f**4/8 - 6*f. Determine r, given that h(r) = 0.
0, 1
Suppose -2*w = 5*m + 6, -4*w + m + 2 = 4*m. Let k(s) be the first derivative of -2*s + w*s**2 - 2 - 2/3*s**3. Determine b, given that k(b) = 0.
1
Let q(b) be the second derivative of -4*b - 1/2*b**2 - 1/20*b**5 + 1/4*b**4 + 0 + 1/6*b**3 - 1/15*b**6. Let q(d) = 0. Calculate d.
-1, 1/2, 1
Let m(n) be the second derivative of 5*n**7/42 + n**6/2 + 3*n**5/4 + 5*n**4/12 + 34*n. Solve m(p) = 0.
-1, 0
Let b(t) = t**5 - 4*t**3 - 4*t**2 + t. Let r(s) = 3*s**5 - 12*s**3 - 13*s**2 + 2*s - 1. Let l(k) = 14*b(k) - 4*r(k). Factor l(i).
2*(i - 2)*(i - 1)*(i + 1)**3
Let z be 3 - 2 - -3 - 15. Let h be (-4 - z/3) + 1. Let 4/3*k + h*k**2 - 1/3 + 4/3*k**5 - 8/3*k**3 - 1/3*k**4 = 0. What is k?
-1, 1/4, 1
Let n(g) be the second derivative of -g**5/110 - g**4/33 - g**3/33 - 20*g. What is h in n(h) = 0?
-1, 0
Suppose 10*h = 5*h + 15. Let o be (-16)/(-30) - (-2)/3. Factor 0*q**h + o*q**2 + 0 - 2/5*q**4 + 4/5*q.
-2*q*(q - 2)*(q + 1)**2/5
Let p(z) be the third derivative of 1/30*z**6 - 2/15*z**5 + 0*z**3 + 1/6*z**4 + 0*z + 0 - 2*z**2. Suppose p(d) = 0. Calculate d.
0, 1
Let g(j) be the third derivative of -j**5/300 - j**4/40 + 2*j**3/15 - 4*j**2. Suppose g(y) = 0. What is y?
-4, 1
Let f(j) be the third derivative of j**2 + 0*j - 1/48*j**4 + 0*j**3 - 1/60*j**5 + 0. Solve f(x) = 0.
-1/2, 0
Let g = -7/2 - -67/18. Factor -2/9*r**2 + 0 - g*r.
-2*r*(r + 1)/9
Let j(m) be the first derivative of -m**8/9240 + m**6/990 - m**4/132 + 2*m**3 + 5. Let a(d) be the third derivative of j(d). Suppose a(i) = 0. What is i?
-1, 1
Factor -75*u**3 - 49*u**3 + 24*u**3 - 16*u**4 - 36*u - 168*u**2.
-4*u*(u + 3)**2*(4*u + 1)
Let m(r) be the first derivative of 27/5*r**3 + 1 + 4/5*r - 18/5*r**2. Determine s so that m(s) = 0.
2/9
Let z(k) = -k**5 + k**2. Let w(i) = 16*i**5 - 80*i**4 + 105*i**3 - 51*i**2 + 10*i. Let y(m) = w(m) - 4*z(m). Determine b, given that y(b) = 0.
0, 1/2, 1, 2
Let s(p) be the first derivative of 0*p + 0*p**5 - 1/360*p**6 + 0*p**2 + 1 - 1/3*p**3 + 0*p**4. Let k(f) be the third derivative of s(f). Factor k(m).
-m**2
Let g(d) = -6*d**4 + 3*d**3 + 10*d**2 - 3*d + 3. Let l(n) = 3*n**4 - n**3 - 5*n**2 + n - 2. Let x(p) = 4*g(p) + 7*l(p). Determine h so that x(h) = 0.
-1, -1/3, 1, 2
Factor 0 + 0*c - 1/2*c**2.
-c**2/2
Let q(m) be the first derivative of -3*m**4/8 + 3*m**3 - 9*m**2 + 12*m + 8. Let q(u) = 0. What is u?
2
Let p(y) be the second derivative of -y**4/54 + y**3/9 - 18*y. Factor p(x).
-2*x*(x - 3)/9
Let o be 1/5 - 231/(-70) - 2. Solve -o*i**2 + i**4 - 1/2*i**3 + 1/2 + 1/2*i = 0 for i.
-1, -1/2, 1
Let s(d) be the third derivative of d**6/180 - d**5/45 - 6*d**2. Factor s(b).
2*b**2*(b - 2)/3
Suppose 5*t = 4*t + 2. Suppose 1/3*o**3 - 1/3*o**4 + 1/3*o**t + 0 - 1/3*o = 0. Calculate o.
-1, 0, 1
Let l(b) be the third derivative of 0 - 1/40*b**6 + b**3 - 5/8*b**4 + 1/5*b**5 + b**2 + 0*b. Factor l(g).
-3*(g - 2)*(g - 1)**2
Suppose 2*p - 3*y + 2 = -6, 3*p - 5*y = -14. Suppose 2*o**3 + 4/5*o - 14/5*o**5 + 0 - 18/5*o**4 + 18/5*o**p = 0. Calculate o.
-1, -2/7, 0, 1
Suppose 0*c**4 + 0*c**4 - c**4 + 7*c**2 - 6*c**2 = 0. Calculate c.
-1, 0, 1
Let s be -2 - ((0 - 1) + -1). Suppose 6*g + 3*j = g + 7, s = -4*j - 4. Factor 6*i**2 - 3*i**2 - 6*i - 2*i**g - 4 - 3*i**2.
-2*(i + 1)*(i + 2)
Let z(a) be the second derivative of -1/100*a**5 + 0*a**2 - 3*a + 0 + 0*a**3 - 1/60*a**4. Factor z(i).
-i**2*(i + 1)/5
Let u(n) be the third derivative of -n**9/15120 + n**8/6720 + n**7/2520 - n**6/720 - n**4/12 + n**2. Let p(o) be the second derivative of u(o). Solve p(t) = 0.
-1, 0, 1
Let z(i) be the third derivative of -i**8/7840 + i**7/8820 + i**6/315 + i**5/105 - 5*i**4/24 + 5*i**2. Let h(x) be the second derivative of z(x). Factor h(a).
-2*(a - 2)*(a + 1)*(3*a + 2)/7
Let n(b) = 5*b**4 - 5*b**3 - 2*b**2 - 4*b + 4. Let y(z) = z**4 - z**3 - z + 1. Let i(v) = -n(v) + 4*y(v). Factor i(q).
-q**2*(q - 2)*(q + 1)
Let m(v) be the third derivative of 0*v**4 - 1/210*v**5 + 0*v + 0 + 4*v**2 + 1/21*v**3. Suppose m(x) = 0. Calculate x.
-1, 1
Let v be 1 - (1 + 3 - 7). Solve -7*o - 4*o + 3*o - 4*o**3 - v - 4*o - 12*o**2 = 0.
-1
Let l(s) = -1. Let f(u) = u**2 - 5. Let n(h) = f(h) - 5*l(h). Let o(x) = 5*x**2 + 4*x + 4. Let j(c) = 4*n(c) - o(c). Factor j(a).
-(a + 2)**2
Let g(f) be the second derivative of -f**5/20 + f**4/12 - 5*f. Factor g(z).
-z**2*(z - 1)
Let m(a) be the second derivative of -a**7/147 + 4*a**6/105 - 2*a**5/35 - a**4/21 + 5*a**3/21 - 2*a**2/7 - 5*a. Let m(q) = 0. Calculate q.
-1, 1, 2
Let b = 7956/1771 - -20/253. Factor 0*l - 18/7*l**5 - b*l**3 + 0 - 8/7*l**2 - 6*l**4.
-2*l**2*(l + 1)*(3*l + 2)**2/7
Let h(k) be the third derivative of k**6/15 - k**5/15 + 7*k**2. Find l, given that h(l) = 0.
0, 1/2
Let w be 0 + 2*(-2 - -3). Suppose 3*n = -z - 5, -z - 2*n - w*n - 8 = 0. Factor 1/2*c**2 - 1/2*c**z + 1/2*c**3 + 0 - 1/2*c**5 + 0*c.
-c**2*(c - 1)*(c + 1)**2/2
Let o(l) = l**2 + l - 1. Let z(q) = 7*q**2 - 18*q + 138. Let y(w) = 6*o(w) - z(w). Find n such that y(n) = 0.
12
Let s(v) be the second derivative of -6*v - 2/3*v**3 + 1/12*v**4 - 2*v**2 + 0 + 1/20*v**5. Factor s(k).
(k - 2)*(k + 1)*(k + 2)
Let z(k) = -2*k**2 - 6*k + 4. Suppose -3*s + 14 = -22. Let j = s + -8. Let w(h) = 2*h**2 + 7*h - 5. Let m(a) = j*w(a) + 5*z(a). Factor m(q).
-2*q*(q + 1)
Suppose -1 + 4 = j. Let b(l) be the first derivative of 3*l**2 - 3*l**2 - 37 - l**j + 36. Suppose b(m) = 0. What is m?
0
Find j such that -2/5*j**2 - 4/15*j - 2/15*j**3 + 0 = 0.
-2, -1, 0
Let r be (3 - 4)*1 + 4. Let y(p) be the second derivative of 0 + 3*p + 0*p**2 + 0*p**r + 1/8*p**4 + 3/40*p**5. Factor y(c).
3*c**2*(c + 1)/2
Let v(c) be the second derivative of -c**5/5 + 11*c**4/3 - 16*c**3 - 72*c**2 - 19*c. Suppose v(y) = 0. What is y?
-1, 6
Let y(j) be the second derivative of j + 0 - 2/51*j**3 - 1/17*j**2 - 1/102*j**4. Let y(q) = 0. Calculate q.
-1
Let u(y) be the third derivative of 8*y**7/105 - y**6/10 - y**5/3 + y**4/2 + 2*y**3/3 - 7*y**2. Factor u(p).
4*(p - 1)**2*(p + 1)*(4*p + 1)
Let v(u) be the second derivative of 5*u + 1/120*u**6 + 0*u**2 - 1/168*u**7 + 3/80*u**5 - 5/48*u**4 + 1/12*u**3 + 0. Suppose v(c) = 0. Calculate c.
-2, 0, 1
Determine l so that -8/5 + 14/5*l**2 - 2*l**3 + 16/5*l = 0.
-1, 2/5, 2
Suppose h + 12 = 7*h. Let k(d) be the second derivative of -1/120*d**6 + 0*d**5 + 0*d**3 + 0*d**h + 0 - d + 1/48*d**4. Factor k(m).
-m**2*(m - 1)*(m + 1)/4
Let h(w) = -w - 1. Let i be h(-5). Let a be (-6)/i*32/(-12). Let 6*v**2 - v - v + a*v + 0*v - 4 = 0. Calculate v.
-1, 2/3
Factor -2/7*m**5 + 0*m + 0*m**3 + 0 - 2/7*m**4 + 0*m**2.
-2*m**4*(m + 1)/7
Let k(w) = 3*w - 12. Let h be k(4). Factor h + 3/7*v**5 + 0*v**2 + 3/7*v**4 + 0*v + 0*v**3.
3*v**4*(v + 1)/7
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