c**4 + 0 - 1/2*c**p - 1/2*c**2 - 1/6*c = 0.
-1, 0
Let q(y) be the third derivative of -y**6/40 + y**5/20 + y**4/2 - 2*y**3 - 10*y**2. Determine d so that q(d) = 0.
-2, 1, 2
Let j(y) be the first derivative of 8 + 9/16*y**4 + 0*y**2 + 0*y + 1/2*y**3. Factor j(x).
3*x**2*(3*x + 2)/4
Let l(v) = v + 3 - 8 - 2. Let z be l(7). Suppose -1/4*d**3 + 0*d - 1/4*d**2 + z = 0. Calculate d.
-1, 0
Let g = -174/5 - -1238/35. Let i(z) be the first derivative of 2/21*z**3 - g*z + 1 + 1/7*z**2. Factor i(k).
2*(k - 1)*(k + 2)/7
Let n(c) = 4*c**2 - 3*c**2 + 2*c - 3*c + 0*c. Let m(i) = -3*i**2 + 3. Let a(h) = -m(h) - 6*n(h). Factor a(z).
-3*(z - 1)**2
Let p = -25 - -33. Suppose -5*q + 2 = -p. Factor -1/3*b**3 - 1/3*b**q - 1 + 5/3*b.
-(b - 1)**2*(b + 3)/3
Let s(j) be the first derivative of j**5/10 - j**4/3 - j + 3. Let c(x) be the first derivative of s(x). Suppose c(h) = 0. What is h?
0, 2
Let y be ((-3)/6)/((-2)/(-28)). Let o(c) = -c - 4. Let w be o(y). What is m in 0*m**w + 2*m**2 - m**2 + 0*m**2 - m**3 = 0?
0, 1
Factor 1 + 38*r + 2*r**4 - 34*r - 4*r**3 - 3.
2*(r - 1)**3*(r + 1)
Suppose 2*s + 5*f - 2 = -1, 0 = -4*f - 4. Suppose -10 = 5*y + 4*l, -5*y = s*l - l. Solve j**2 - 5*j**3 + 3*j**3 - 4*j**2 + 5*j**y = 0 for j.
0, 1
Suppose 15 = 3*s - 0*s. Suppose 2*n + 0*u + s*u - 10 = 0, 6 = -3*n + 3*u. Factor n + 1/4*j - 1/4*j**2.
-j*(j - 1)/4
Let s(v) be the third derivative of -v**5/60 - v**4/24 + v**3/3 + 14*v**2. Factor s(i).
-(i - 1)*(i + 2)
Factor -20 + 15*i**2 + 5 + 84*i**3 - 81*i**3 - 3*i.
3*(i - 1)*(i + 1)*(i + 5)
Let y(k) be the third derivative of 0*k - 2*k**2 + 0 - 16/3*k**3 + 4/3*k**4 + 1/21*k**7 + 7/15*k**6 + 8/5*k**5. Factor y(g).
2*(g + 2)**3*(5*g - 2)
Let v(p) = -9*p**4 - 21*p**3. Suppose -5*c = o - 2*c + 7, 4*o = -5*c. Suppose o*k = -30 - 30. Let i(l) = l**4 + l**3 + l. Let n(x) = k*i(x) - v(x). Factor n(b).
-3*b*(b - 2)**2*(b + 1)
Let x(g) = -12*g**2 + 12*g**2 - g - 1 + g**3. Let v(k) = 3*k**3 - 2*k**2 - 5*k - 4. Suppose 0 = 3*p - 1 + 13. Let r(d) = p*x(d) + v(d). Let r(b) = 0. What is b?
-1, 0
Suppose 3*g**3 - 4 - 3*g**4 - 3*g + 3*g**2 + 4 = 0. What is g?
-1, 0, 1
Let f(h) = 8*h - 56. Let j be f(7). Solve j + 0*r - 1/5*r**3 + 0*r**2 = 0.
0
Let f(m) = -m + 1. Let j(w) = -w**2 - 7*w + 6. Let z(o) = -6*f(o) + j(o). Let z(s) = 0. What is s?
-1, 0
Let o(j) be the first derivative of -j**4/66 - 2*j**3/33 + 5*j + 6. Let w(p) be the first derivative of o(p). Find u such that w(u) = 0.
-2, 0
Let h be 15/5 - (1 + -2). Suppose -h*o + 5*o - 6 = -v, 5*v - 12 = o. Determine x so that -3/2*x**2 + 0 - 3/2*x**o - 1/2*x**4 - 1/2*x = 0.
-1, 0
Let c(h) = -4*h + 1. Let j be c(-1). Suppose -5*f - 2*f**2 + 2*f**4 + j*f = 0. What is f?
-1, 0, 1
Let d(h) = -36*h**4 - 50*h**3 - 14*h**2. Let j(z) = -z**3 - z**2. Let w(n) = d(n) - 6*j(n). What is q in w(q) = 0?
-1, -2/9, 0
Let j(z) be the third derivative of 0*z + 0*z**3 + 1/20*z**5 + 0 + 1/40*z**6 - 2*z**2 - 1/70*z**7 - 1/8*z**4. Determine d, given that j(d) = 0.
-1, 0, 1
Suppose -3*t + 4 = -t. Suppose 5*k = t*k. Factor 0*m + 4/9*m**2 + k + 2/9*m**4 - 2/3*m**3.
2*m**2*(m - 2)*(m - 1)/9
Let n = -89/2 + 4881/110. Let v = n - -51/55. Find l, given that 4/5*l**4 + v - 6/5*l + 6/5*l**3 - 8/5*l**2 = 0.
-2, -1, 1/2, 1
Let r(v) = 2*v**3 + v**2 + v - 1. Let t be r(1). Let o be 7/2*(-20)/(-35). Factor 3*p**3 + o*p**3 - 6*p**t - 2*p**4 + 3*p**4.
p**3*(p - 1)
Let h(z) be the second derivative of -z**4/18 + z**3/9 + 2*z. Factor h(c).
-2*c*(c - 1)/3
Suppose -16*w + 41 = -7. Factor -1/5 - 2/5*k**4 + k - 9/5*k**2 + 7/5*k**w.
-(k - 1)**3*(2*k - 1)/5
Let u(k) = 2*k**2 + 2*k + 3. Let j be u(0). Determine x, given that 0 - 2/11*x**j + 2/11*x + 0*x**2 = 0.
-1, 0, 1
Let n(f) be the third derivative of 0*f + f**2 - 1/90*f**5 + 0*f**3 + 0 - 1/12*f**4. Factor n(x).
-2*x*(x + 3)/3
Suppose -2*k - l - 6 = -3*l, -5*k - l = -3. Determine r so that 9*r**5 - 5*r**4 + 3*r**2 - 10*r**4 + k*r**4 + 3*r**3 = 0.
-1/3, 0, 1
Let -24*w**5 + 26*w**5 + 4*w**3 - 3*w**4 - 3*w**4 = 0. What is w?
0, 1, 2
Let z(t) be the second derivative of t**9/1008 - t**8/336 + t**7/840 + t**6/360 + t**3/6 - 2*t. Let b(p) be the second derivative of z(p). Factor b(f).
f**2*(f - 1)**2*(3*f + 1)
Let t(g) be the first derivative of -4 - 8/33*g**3 - 4/11*g + 5/11*g**2 + 1/22*g**4. Factor t(x).
2*(x - 2)*(x - 1)**2/11
Factor -8/5*a**2 - 2/5*a**3 - 7/5*a - 2/5 + 2/5*a**4 + 1/5*a**5.
(a - 2)*(a + 1)**4/5
Let o(z) be the first derivative of -z**6/360 + z**5/40 - z**4/12 - 2*z**3/3 + 2. Let l(j) be the third derivative of o(j). Factor l(u).
-(u - 2)*(u - 1)
Let f(j) be the third derivative of -j**8/672 + j**7/210 - j**5/60 + j**4/48 + 39*j**2. Let f(n) = 0. Calculate n.
-1, 0, 1
Determine g so that -8/7*g**2 + 0 - 2*g**4 + 0*g + 22/7*g**3 = 0.
0, 4/7, 1
Let z be 3/4 - 14/((-4536)/117). Factor z*d + 2/9*d**2 + 8/9.
2*(d + 1)*(d + 4)/9
Let d(h) = -13*h**2 - 32*h - 32. Let n(w) = 6*w**2 + 16*w + 16. Let t(a) = -2*d(a) - 5*n(a). Determine p so that t(p) = 0.
-2
Let v(c) be the third derivative of c**5/60 + 5*c**4/12 + 2*c**3 - c**2. Let x be v(-9). Factor -3*o**2 + 5*o**2 - 5*o**2 + x.
-3*(o - 1)*(o + 1)
Suppose 5*o - 1 = 3*n, -12 = -3*n - n. Factor 3*v - 7*v**2 + 4*v**2 + 1 - v + 4*v**o.
(v + 1)**2
Suppose -4*s + 5 = -i - 0*i, -20 = s + 4*i. Factor -2/3*v**4 + s*v**3 + 0 + 0*v + 2/3*v**2.
-2*v**2*(v - 1)*(v + 1)/3
Let n(k) be the first derivative of k**6/60 + k**5/5 + k**4 + 8*k**3/3 - k**2/2 - 2. Let u(m) be the second derivative of n(m). Factor u(c).
2*(c + 2)**3
Suppose 9/8*q + 3/4*q**2 + 1/8*q**3 + 1/2 = 0. What is q?
-4, -1
Suppose -4*h + 6 = -h. Factor -3*f + 6*f - f + 7*f**h + 9*f**3 + 5*f**4 + f**5.
f*(f + 1)**3*(f + 2)
Let h(o) = -8*o**4 - 10*o**3 + 6. Let y(a) = -7*a**4 - 9*a**3 + 5. Let j(v) = 5*h(v) - 6*y(v). Factor j(r).
2*r**3*(r + 2)
Let f = 2 + 1. Suppose -17*v**2 + 88*v**2 + 275*v**4 + 4*v - 3*v**2 + 125*v**5 + 4*v + 210*v**f = 0. What is v?
-1, -2/5, 0
Let k(f) = -f**2 + 3*f + 3. Let x be k(3). Factor -5*z + 2*z**3 - 4*z**x + 4*z**3 + 3*z.
2*z*(z - 1)*(z + 1)
Let y(p) be the first derivative of -p**4/18 - 4*p**3/27 + p**2/9 + 4*p/9 - 1. What is r in y(r) = 0?
-2, -1, 1
Let p(f) be the second derivative of f**7/273 - f**6/65 + f**5/130 + f**4/26 - 2*f**3/39 - 2*f + 9. Determine z so that p(z) = 0.
-1, 0, 1, 2
Let k(p) be the first derivative of -6*p**5/5 - 17*p**4/2 - 56*p**3/3 - 12*p**2 + 42. Determine s so that k(s) = 0.
-3, -2, -2/3, 0
Let t(o) be the third derivative of 0*o + 1/189*o**7 - 2/135*o**6 + 0*o**3 + 4*o**2 + 0 + 0*o**4 - 2/135*o**5. Factor t(c).
2*c**2*(c - 2)*(5*c + 2)/9
Let y(j) be the third derivative of -1/32*j**4 + 0*j**5 - 1/12*j**3 - 4*j**2 + 1/480*j**6 + 0 + 0*j. Solve y(t) = 0 for t.
-1, 2
Let o = -703/35 + 142/7. Factor -1/5*u - 3/5*u**2 + 3/5 + o*u**3.
(u - 3)*(u - 1)*(u + 1)/5
Factor 5*d**2 - 12*d**3 - 6*d**3 - 2*d**3.
-5*d**2*(4*d - 1)
Let m(u) be the third derivative of -u**11/1995840 + u**9/362880 - u**5/12 - 7*u**2. Let h(g) be the third derivative of m(g). Factor h(k).
-k**3*(k - 1)*(k + 1)/6
Let m(k) be the first derivative of 2*k**3/45 - k**2/5 + 4*k/15 + 51. Factor m(s).
2*(s - 2)*(s - 1)/15
Let x(p) be the third derivative of p**6/24 - p**5/12 - 5*p**4/6 + 10*p**3/3 + p**2 + 2*p. What is d in x(d) = 0?
-2, 1, 2
Let z = -12 + 8. Let h be 1/(z*4/(-32)). Determine f so that -2/3 + 2/3*f**h + 0*f = 0.
-1, 1
Suppose q - 5 + 3 = 0. What is p in 2*p**2 + 0*p**2 + 2*p**2 - 4 - 2*p**q + 2*p = 0?
-2, 1
Let b be (-3)/(-18)*(1 + 7). Let z(t) be the first derivative of -16/5*t**5 - b*t**6 - 1 - 2/3*t**3 + 0*t**2 + 0*t - 5/2*t**4. Factor z(a).
-2*a**2*(a + 1)*(2*a + 1)**2
Let s(x) = -x**3 + 7*x**2 + x - 4. Let d be s(7). What is t in -7 + d*t**2 - 1 - 6*t + 8 = 0?
0, 2
Let z(s) be the first derivative of 3*s**4 + 7*s**3 - 3*s**2 - 2. What is a in z(a) = 0?
-2, 0, 1/4
Let s(q) be the second derivative of q**10/105840 - q**9/13230 + q**8/5880 + q**4/12 + 3*q. Let v(c) be the third derivative of s(c). Factor v(u).
2*u**3*(u - 2)**2/7
Let n = 287 - 179. Let d be 3/(-5) + n/80. Let d - 3/4*c**3 - 9/4*c + 9/4*c**2 = 0. What is c?
1
Factor 6*q**2 - 15 + 84*q**3 - 86*q**3 + 7.
-2*(q - 2)**2*(q + 1)
Let c(b) be the third derivative of 19*b**4/24 - b**3/6 + b**2. Let h be c(1). Factor 7*q**4 - 9*q**3 + 7*q**2 + h*q**2 - 10*q**3 + 4 - 16*q - q**5.
-(q - 2)**2*(q - 1)*