 t.
-2, 0, 4
Factor -6*t - 1/3*t**2 + 19/3.
-(t - 1)*(t + 19)/3
Determine a, given that 2*a**3 + 192 + 126*a**2 - 72 + 6*a**3 - 5*a**3 + 98*a + 145*a = 0.
-40, -1
Let g(w) be the third derivative of w**5/210 - w**4/21 - 5*w**3/21 + 289*w**2. Let g(l) = 0. What is l?
-1, 5
Let l be 1/((-162)/(-342)) + (-2)/1. Let -2/9*t**4 + 0 - 2/9*t - l*t**2 + 5/9*t**3 = 0. Calculate t.
-1/2, 0, 1, 2
Let s(a) be the second derivative of -1/14*a**7 - 1/30*a**6 + 1/12*a**5 + 0*a**2 + 0*a**3 - 6*a + 0 - 1/36*a**4. Factor s(g).
-g**2*(g + 1)*(3*g - 1)**2/3
Suppose 2*t + 3*r = 8 + 92, -t - 2*r = -50. Let x be (t/(-20))/(5/(-4)). Find y, given that -1/4*y - 1/4*y**3 + 1/2*y**x + 0 = 0.
0, 1
Suppose 5*q - 4*b = -9 + 81, 2*q - 9 = -5*b. Let x = q - 12. Factor 2*j**4 + 10*j**2 + 0 + 8*j**3 + x + 4*j.
2*j*(j + 1)**2*(j + 2)
Let o(f) be the third derivative of -1/8*f**4 + 0*f**3 + 0*f + 0 + 15*f**2 - 1/20*f**5. Suppose o(d) = 0. Calculate d.
-1, 0
Let x(l) be the third derivative of -l**7/8400 - l**6/7200 + l**5/600 + 5*l**4/12 + 13*l**2. Let b(v) be the second derivative of x(v). Factor b(u).
-(u + 1)*(3*u - 2)/10
Factor 0 - 2/9*s**2 - 86/9*s.
-2*s*(s + 43)/9
Suppose -4/3*x - 2/9*x**4 - 8/9*x**2 + 4/3*x**3 + 10/9 = 0. Calculate x.
-1, 1, 5
Suppose 2 + 0 = s. Factor 3*i**2 + 2*i - 4*i**2 + 1 + 2*i**s.
(i + 1)**2
Let d be (1 + -3)/1*21/(-14). Suppose -d = -2*y - 5*k + 12, 2*y - 4*k + 12 = 0. Solve y - 1/5*p**3 - 3/5*p**2 - 2/5*p = 0.
-2, -1, 0
Suppose 36 = 2*f + 7*f + 3*g, -4*g = 0. Let h(p) be the third derivative of 1/8*p**f + 0*p + 0 + 1/40*p**5 - 5*p**2 + 0*p**3. Let h(q) = 0. What is q?
-2, 0
Suppose 119*r + 0 - 1053 = 1327. Factor 5/3*y**2 + 60 - r*y.
5*(y - 6)**2/3
Let q(g) be the third derivative of g**5/20 - g**4/2 + 2*g**3 + 4*g**2 + 6. Solve q(h) = 0.
2
Suppose -16*l + 60*l - 30 = 29*l. Factor 5/2*a + 5/6*a**l + 5/3.
5*(a + 1)*(a + 2)/6
Let g(h) be the first derivative of -1/3*h**6 - 6*h + 7*h**2 + 2*h**5 - 3*h**4 + 17 - 4/3*h**3. Factor g(u).
-2*(u - 3)*(u - 1)**3*(u + 1)
Find v such that -10/7 - 2/7*v**4 + 12/7*v**2 - 8/7*v**3 + 8/7*v = 0.
-5, -1, 1
Let c(j) be the second derivative of -1/24*j**4 - 1/40*j**5 + 30*j + j**2 + 0 + 1/3*j**3. Determine m so that c(m) = 0.
-2, -1, 2
Suppose -19/10*c**2 - 14/5*c + 1/10*c**4 - 6/5 - 1/5*c**3 = 0. What is c?
-2, -1, 6
Let h be (-12)/(-42) - (-1)/7. Let m be ((-4)/70)/((-76)/570). Suppose 3/7*t - h + 3/7*t**2 - m*t**3 = 0. What is t?
-1, 1
Let v(t) = 6*t**2 + 7*t - 3. Let a be v(-3). Find r, given that 11*r**2 - 11 - 7 + a*r**2 - 2*r**2 - 111*r = 0.
-2/13, 3
Let w(a) be the third derivative of -2*a**3 + 0*a + 1/5*a**5 - 1/6*a**4 + 1/30*a**6 + 0 - 2*a**2. Factor w(k).
4*(k - 1)*(k + 1)*(k + 3)
Let t(i) = -i**2 - 12*i. Let v be t(-12). Let s(x) be the second derivative of -x - 1/100*x**5 + v - 1/10*x**2 + 1/30*x**3 + 1/60*x**4. Factor s(q).
-(q - 1)**2*(q + 1)/5
Let q(w) = -w**2 + 6*w + 13. Let y be q(7). Factor -2*x**3 - y*x + 46*x**2 - 27*x**2 - 27*x**2.
-2*x*(x + 1)*(x + 3)
Let d be -1*(-2)/(-6) - 5/(-5). Let m = 8/21 + 2/7. Find r such that -d*r + m*r**2 + 0 = 0.
0, 1
Let k(f) be the second derivative of f**5/45 - 8*f**4/27 + 10*f**3/27 + 100*f**2/9 - 279*f. Factor k(w).
4*(w - 5)**2*(w + 2)/9
Let n(x) = 10*x**2 + 19*x - 7. Let y(u) = 3*u**2 + 6*u - 2. Let t be (-1)/(-4) - 77/(-44). Let o(j) = t*n(j) - 7*y(j). Suppose o(s) = 0. What is s?
-4, 0
Suppose 3*q - 15 + 3 = 0. Find z, given that z**2 + 3*z**3 + 5*z**2 + q*z - 4*z**3 + 3*z**3 = 0.
-2, -1, 0
Solve 212 - 10*j + 6*j**2 - 212 + 19*j**2 = 0 for j.
0, 2/5
Let v = 391 - 389. Solve -2/11 - 4/11*b - 2/11*b**v = 0 for b.
-1
Let r(j) = j - 4. Let d be r(3). Let c(t) = -3*t**4 + 6*t**3 - 3*t**2 - 2*t. Let k(p) = p. Let y(x) = d*c(x) - 2*k(x). Determine f so that y(f) = 0.
0, 1
Let u(k) be the third derivative of -1/25*k**5 - 1/15*k**4 - 15*k**2 + 0*k**3 + 0*k + 0 - 1/150*k**6. Factor u(c).
-4*c*(c + 1)*(c + 2)/5
Let i(j) be the first derivative of j**8/336 - 5*j**7/168 - j**6/12 - 22*j**3/3 - 22. Let m(h) be the third derivative of i(h). Find b such that m(b) = 0.
-1, 0, 6
Let o(y) = -23*y - 21*y + 71*y - 21*y + 60. Let s be o(-10). Factor 0*r - 1/5*r**5 + 2/5*r**4 - 1/5*r**3 + s*r**2 + 0.
-r**3*(r - 1)**2/5
Let o(v) = v**5 - v**4 + 10*v**3 + 30*v**2 + 29*v + 7. Let s(q) = -5*q**5 + 3*q**4 - 42*q**3 - 122*q**2 - 117*q - 27. Let m(h) = -9*o(h) - 2*s(h). Factor m(n).
(n - 3)*(n + 1)**3*(n + 3)
Let y(d) be the third derivative of -d**5/210 + d**4/14 - 5*d**3/21 + 397*d**2. Factor y(v).
-2*(v - 5)*(v - 1)/7
Suppose 9/2*x + 4*x**2 + 1/2*x**3 - 9 = 0. Calculate x.
-6, -3, 1
Let d(i) = -i - 13. Let c be d(-17). Let h be (c/(-16) - 1) + 1 + 1. Let -1/2*o**3 + 1/4*o**4 + h + 1/2*o - o**2 = 0. Calculate o.
-1, 1, 3
Let l(z) be the first derivative of 2*z**3/27 - z**2/3 - 8*z/9 - 22. What is q in l(q) = 0?
-1, 4
Let n = 1 + -1. Suppose 3*a - 3 + 0 = n. Determine p, given that 3*p**4 + 0*p**5 + 38*p**3 - 40*p**3 + p**2 + 3*p - a - p**5 - 3*p**2 = 0.
-1, 1
Let x(k) = k**2 + 8*k - 7. Let a be x(-9). Suppose a*o = -g + 1, -4*g = -9*g - 15. Determine p so that -6*p**o + p + 6*p**2 - p**2 = 0.
0, 1
Let k(j) be the third derivative of 5*j**9/3024 + j**8/168 + j**7/168 - 7*j**3/6 + 37*j**2. Let h(x) be the first derivative of k(x). Let h(b) = 0. Calculate b.
-1, 0
Let 85/3*z + 14 + 1/3*z**3 + 44/3*z**2 = 0. Calculate z.
-42, -1
Let i(m) = -2*m**3 - 1. Let p(h) = -16*h**3 - 4*h**2 - 4*h - 6. Let g(t) = -10*i(t) + p(t). Determine d, given that g(d) = 0.
-1, 1
Let j be ((2/(-45))/(-1))/(45/666). Let m = 2/225 + j. Determine s so that 0 - 2*s**3 + 2*s**2 - 2/3*s + m*s**4 = 0.
0, 1
Let d(b) be the second derivative of -b**7/8820 + b**6/2520 + b**5/210 - 11*b**4/6 + 8*b. Let j(s) be the third derivative of d(s). Let j(z) = 0. What is z?
-1, 2
Let v(r) be the third derivative of -r**6/360 + 7*r**5/120 - 25*r**3/6 - r**2 - 1. Let s(k) be the first derivative of v(k). Find h such that s(h) = 0.
0, 7
Let j(w) be the third derivative of 7*w**8/64 - 109*w**7/240 + 227*w**6/960 + 41*w**5/80 + w**4/48 - w**3/6 - 4*w**2 + 4. Determine f so that j(f) = 0.
-2/7, 1/6, 1, 2
Let u = -145/8 - -157/8. Let -3/2 + u*f + 3/2*f**2 - 3/2*f**3 = 0. What is f?
-1, 1
Let b(m) be the third derivative of -m**5/50 + m**4/6 + 13*m**3/15 - 273*m**2. Factor b(k).
-2*(k + 1)*(3*k - 13)/5
Let a be ((-40)/(-100))/((-6)/(-5)). Find g, given that 0 + a*g**2 - 5/3*g = 0.
0, 5
Let p(u) be the first derivative of 2*u**6/3 + 8*u**5/5 + u**4 + 25. Factor p(v).
4*v**3*(v + 1)**2
Let g(q) be the first derivative of 21*q**5/5 + 43*q**4/4 - 389*q**3/21 + 13*q**2/2 - 6*q/7 - 12. What is o in g(o) = 0?
-3, 1/7, 2/3
Let j(r) be the third derivative of -r**7/1260 - 5*r**6/36 - 197*r**5/360 - 49*r**4/72 + r**2 + 74*r. Let j(n) = 0. What is n?
-98, -1, 0
Suppose 5 = 3*v - 10. Let b be 1/7*-12 + (v - 3). Factor 0*a - 2/7 + b*a**2.
2*(a - 1)*(a + 1)/7
Let l be (-40)/(-25)*5/1. Suppose l*d**2 - 2*d + 3*d**4 - 2 - 10*d**3 + d**4 + 2 = 0. Calculate d.
0, 1/2, 1
Let p(q) be the first derivative of -1/12*q**3 + 24 - 9*q - 3/2*q**2. Factor p(w).
-(w + 6)**2/4
Let g(s) be the first derivative of -5/3*s**3 + 0*s + 0*s**2 - 25*s**5 - 25/2*s**4 + 24. Suppose g(o) = 0. What is o?
-1/5, 0
Let l(s) be the first derivative of s**5/5 + 19*s**4/2 + 120*s**3 - 19*s**2 - 361*s + 13. Factor l(y).
(y - 1)*(y + 1)*(y + 19)**2
Let a be 42/273 - 3/(351/2176). Let h = -2140/117 - a. Determine f, given that h - 4/13*f + 2/13*f**2 = 0.
1
Suppose -3*n + 5 = -4. Let j be n/(-1) - -15 - -1. Let 5*u - j*u + 2*u - u**2 - 9 = 0. What is u?
-3
Let q(x) = 71*x**4 - 34*x**3 + 3*x**2. Let v be ((-1)/(-8)*6)/(18/216). Let o(h) = -141*h**4 + 69*h**3 - 6*h**2. Let w(m) = v*q(m) + 4*o(m). Factor w(p).
3*p**2*(5*p - 1)**2
Let u(k) be the second derivative of k**6/90 - 2*k**5/3 + 50*k**4/3 - 37*k**3/6 - 45*k. Let w(q) be the second derivative of u(q). Factor w(x).
4*(x - 10)**2
Suppose l = -4*l. Suppose 6 = -27*i + 29*i. Factor -j + i*j**5 + l*j**2 + 0*j**2 + 4*j - 6*j**3.
3*j*(j - 1)**2*(j + 1)**2
Let u(x) be the first derivative of -12*x**2 + 20*x - 6 + 4/3*x**3. Factor u(w).
4*(w - 5)*(w - 1)
Suppose q + 4*k - 31 = 0, 32*q - 3*k = 30*q - 15. Find r such that 0*r - 3/4*r**2 + 9/8*r**q + 0 = 0.
0, 2/3
Find z such that 0 + 4/5*z**4 + 0*z + 14/5*z**5 - 14/5*z**3 - 4/5*z**2 = 0.
-1,