 - k*t**5 + 4/3*t = 0. What is t?
-1, 0, 2/5, 1
Let o be 221/(-312) - 5/(-6). Let z(j) be the first derivative of o*j**2 - 4 + 1/12*j**3 + 0*j. Factor z(h).
h*(h + 1)/4
Let a = 60 + -28. Let -3 + a*z - 13 + 16 + 4*z**2 = 0. Calculate z.
-8, 0
Let -32*p**3 + 14262*p - 72*p**2 - 4*p**4 - 14262*p + 108 = 0. What is p?
-3, 1
Let b be 25/45*(-42)/(-35). Let o(l) be the third derivative of -1/60*l**5 + b*l**3 - 1/12*l**4 + 4*l**2 + 0 + 0*l + 1/240*l**6. Solve o(n) = 0.
-2, 2
Let r(k) = -18 + 0*k + k + 24. Let o be r(-3). Find c, given that -2/9*c**5 - 2/9*c**4 + 2/9*c**2 + 0 + 2/9*c**o + 0*c = 0.
-1, 0, 1
Let z(f) be the first derivative of 72/11*f - 34 + 2/33*f**3 - 12/11*f**2. Factor z(u).
2*(u - 6)**2/11
Factor 0*a + 12/11*a**2 + 2/11*a**4 - 14/11*a**3 + 0.
2*a**2*(a - 6)*(a - 1)/11
Let b(h) = -h**3 + 2*h**2 + h. Let x be b(-1). Suppose -15*t**x + 3*t**3 - 12 - 21*t**2 + 18*t**2 + 27*t = 0. Calculate t.
1, 4
Let z be 0 + 2/(-4) - 138/(-276). Let s(y) be the first derivative of z*y**3 + y**4 + 8/5*y**5 - 6 + 0*y**2 + 0*y + 2/3*y**6. Factor s(f).
4*f**3*(f + 1)**2
Let r(z) be the third derivative of z**8/1680 + 17*z**7/1680 + z**6/60 - z**5/12 + 3*z**2. Let m(x) be the third derivative of r(x). Factor m(i).
3*(i + 4)*(4*i + 1)
Suppose 266 = -3*i + 2*x + 60, -3*i - 2*x = 226. Let d = -70 - i. Determine h, given that 0 - 1/2*h - 1/6*h**3 + 5/6*h**d - 1/6*h**4 = 0.
-3, 0, 1
Let w(n) be the first derivative of n**3/6 - n**2 + 2*n + 153. Solve w(b) = 0 for b.
2
Let l(q) = -2*q**3 + 8*q**2 + 3*q - 4. Let x be l(4). Solve 9*k - x - 9*k**3 - 4 - 151*k**4 + 148*k**4 + 15*k**2 = 0.
-4, -1, 1
Let w be ((-7)/((-7)/(-16)))/(1 - 0). Let v be 15 + w - (-4)/3. Find s, given that 4/3*s**3 - 2*s**2 + 4/3*s - 1/3 - v*s**4 = 0.
1
Suppose 8 - 4 = 2*v. Factor i**4 + 4*i**3 - 6*i**4 - i**3 - 2*i - i**v + 5*i**3.
-i*(i - 1)**2*(5*i + 2)
Let p(m) be the second derivative of -m**7/21 - 4*m**6/5 - 2*m**5 + m**4/3 + 7*m**3 + 10*m**2 + 78*m - 2. Factor p(n).
-2*(n - 1)*(n + 1)**3*(n + 10)
Let b = -12 - -21. Suppose 1 = 2*y - b. Determine x so that 15 - 8*x**3 + 3*x**3 - 15 + 10*x**2 - y*x**4 = 0.
-2, 0, 1
Factor 4*h**3 + 227*h**4 - 218*h**4 + h + 7*h**2 - 21*h**3.
h*(h - 1)**2*(9*h + 1)
Let s(u) be the second derivative of -u**5/5 - u**4/3 + 16*u**3/3 + 24*u**2 + 4*u - 2. Factor s(i).
-4*(i - 3)*(i + 2)**2
Determine b, given that 16*b + 30*b**4 + 43*b**5 - 71*b - 158*b**2 - 41*b + 128 - 41*b**5 + 94*b**3 = 0.
-8, -1, 1
Suppose 0 = -2*t - 2*t + 156. Suppose t = m - 0*m. Factor 39*o + 18*o**5 + 2*o**3 + 12*o**4 - m*o.
2*o**3*(3*o + 1)**2
Suppose -119/5*f - 118/5*f**2 + 0 + 1/5*f**3 = 0. Calculate f.
-1, 0, 119
Let o(d) be the third derivative of 2*d**7/245 + 11*d**6/60 + 19*d**5/70 - 19*d**4/42 - 8*d**3/7 - 19*d**2 + d. Suppose o(x) = 0. Calculate x.
-12, -1, -1/2, 2/3
Let g(d) be the second derivative of -2*d**6/57 - 49*d**5/190 - 34*d**4/57 - 35*d**3/57 - 6*d**2/19 - 9*d - 5. Solve g(j) = 0.
-3, -1, -1/2, -2/5
Let t be 17*(0 + -1 - -2). Suppose 2*z + 7 = t. Let 3*a**2 + 22*a**4 + 23*a**4 + 10*a**z - 21*a**3 - 37*a**5 = 0. Calculate a.
0, 1/3, 1
Suppose 0 - 74/3*h**2 + 2/3*h = 0. Calculate h.
0, 1/37
Let l = 12173 + -12171. What is w in -10*w**l + 0 - 1/10*w**4 + 2*w**3 + 0*w = 0?
0, 10
Let f(t) be the second derivative of t**6/150 + 23*t**5/100 + 2*t**4 - 24*t**3/5 - 30*t. Find o such that f(o) = 0.
-12, 0, 1
Let p = 60 + -59. Let l(x) = -2*x**5 - x**4 + 3*x**3 - 3*x + 3. Let f(z) = z**5 - z**3 + z - 1. Let c(b) = p*l(b) + 3*f(b). Let c(w) = 0. Calculate w.
0, 1
Let d = 32 - 30. Suppose 4*m + d*l = 3*l + 4, 0 = -3*m + l + 4. Solve 0*w**2 - 2/3*w**4 + 0*w + m + 2/3*w**3 = 0.
0, 1
Suppose 6 = -3*l + 5*u, 8*u - 5*u = -l - 2. Let h be (6/9)/((-28)/(-12) + l). Suppose 2/7*c**h + 0 + 0*c**3 + 0*c - 2/7*c**4 = 0. Calculate c.
-1, 0, 1
Let m be 10*(1 - (-26)/(-30)). Let j be ((-4)/6)/(1/15) + 39/3. Factor 2*c + 0*c**2 - 2/3*c**j - m.
-2*(c - 1)**2*(c + 2)/3
Suppose 8*z - 5*d = 13*z + 35, 4*z = 3*d + 21. Factor 1/2*v**5 + v**4 - 1/2*v + z - v**2 + 0*v**3.
v*(v - 1)*(v + 1)**3/2
Let p(a) = -11*a - 759. Let l be p(-69). Let -c + 1/3*c**2 + l = 0. Calculate c.
0, 3
Let y(g) be the second derivative of -g**8/1680 - 4*g**7/315 - 13*g**6/180 - g**5/5 + 7*g**4/6 - 25*g. Let l(k) be the third derivative of y(k). Factor l(b).
-4*(b + 1)**2*(b + 6)
Let 0 - 2/7*r**3 - 1352/7*r + 104/7*r**2 = 0. Calculate r.
0, 26
Let z(v) be the third derivative of -v**8/448 + 17*v**7/280 - 15*v**6/32 + 103*v**5/80 - 11*v**4/8 - 517*v**2. Let z(s) = 0. Calculate s.
0, 1, 4, 11
Let b(h) be the second derivative of -h**5/20 - 7*h**4/12 + 4*h**3/3 + 132*h. Solve b(a) = 0 for a.
-8, 0, 1
Let d = 959401/390 + -2460. Let v(f) be the third derivative of 0 + 14*f**2 - 1/780*f**6 + d*f**5 + 0*f**3 + 0*f + 0*f**4. Factor v(w).
-2*w**2*(w - 1)/13
Let d(b) = 2*b**2 - 40*b - 8. Let t(f) = f**2 - 27*f - 5. Let y(s) = -5*d(s) + 8*t(s). Find p such that y(p) = 0.
-8, 0
Solve 1/3*o**3 - 2/3 - 2*o - 3/2*o**2 + 1/2*o**4 = 0.
-1, -2/3, 2
Let t = 0 - 5. Let u = -3 - t. Factor -4*f**2 - 4 + u*f**2 - 12*f - 6*f**2.
-4*(f + 1)*(2*f + 1)
Find r, given that -2/7*r**2 - 7442/7 - 244/7*r = 0.
-61
Let p = -7253/4 + 1766. Let u = -163/4 - p. Suppose -11*v**2 + v**5 - 2*v + 4 - u*v**4 + 29/2*v**3 = 0. Calculate v.
-1/2, 1, 2
Suppose 3*f + 3*q = 2*f - 12, 0 = 5*q + 20. Let w(x) be the second derivative of -2/15*x**3 + f + 1/15*x**4 + 0*x**2 - 7*x. Determine r so that w(r) = 0.
0, 1
Factor 40/7*p + 8/7 + 12/7*p**3 - 46/7*p**2.
2*(p - 2)**2*(6*p + 1)/7
Let v(o) = o**2 + o - 12. Let b be (-4)/18 - (-860)/(-180). Let n be v(b). Factor 4*f**3 + 3 - 1 + 10*f**2 + n*f - 1 + 1.
2*(f + 1)**2*(2*f + 1)
Let p(i) be the second derivative of -i**5/360 - 5*i**4/144 - i**3/6 + 4*i**2 + 18*i. Let w(a) be the first derivative of p(a). Find x, given that w(x) = 0.
-3, -2
Solve -35/2*q**4 - 40*q + 10 + 15/2*q**2 + 40*q**3 = 0 for q.
-1, 2/7, 1, 2
Let t(n) = n**3 - 2*n**2 - 3*n + 3. Let y be t(-3). Let z = 60 + y. Factor -38*g + 8*g + 2 + 10 - 6*g + z*g**2.
3*(3*g - 2)**2
Let i(m) be the first derivative of -1/33*m**3 - 27 + 1/11*m + 0*m**2. Determine q, given that i(q) = 0.
-1, 1
Let r(x) be the first derivative of x**6/24 - 7*x**5/20 - 9*x**4/8 - x**3/6 + 17*x**2/8 + 9*x/4 + 121. Factor r(w).
(w - 9)*(w - 1)*(w + 1)**3/4
Let p(m) be the third derivative of -2*m**6/15 - 17*m**5/15 - 2*m**4/3 - 67*m**2. Find a, given that p(a) = 0.
-4, -1/4, 0
Let b be 51/(-34)*(-20)/6. Factor -l - 4 - 3*l**2 + 7*l - 4*l**2 + b*l**2.
-2*(l - 2)*(l - 1)
Let r(u) be the third derivative of 0 - 12*u**2 + 1/150*u**6 - 1/50*u**5 - 1/15*u**4 + 1/525*u**7 + 0*u + 4/15*u**3. Factor r(i).
2*(i - 1)**2*(i + 2)**2/5
Let -2/3*o**3 + 1/6*o**4 + 0*o - 2*o**2 + 0 = 0. What is o?
-2, 0, 6
Suppose -8*f = -125*f. Factor -1/6*d**2 + f - 2/3*d.
-d*(d + 4)/6
Let q(i) be the third derivative of i**7/420 - 7*i**6/90 + 49*i**5/60 - i**3 - 8*i**2. Let m(o) be the first derivative of q(o). Find r, given that m(r) = 0.
0, 7
Suppose -5*g - 20 = -5*d, d + d - 5*g = 20. Suppose -40 = -d*o - 8*o. Solve 2*c**3 - o*c**3 - 48 + 3*c**2 + 6*c + 48 = 0 for c.
-1, 0, 2
Let l(m) = -10*m**2 - 856*m + 240. Let o(r) = 11*r**2 + 851*r - 240. Let n(g) = -3*l(g) - 4*o(g). Factor n(s).
-2*(s + 60)*(7*s - 2)
Let l(a) be the second derivative of a**5/10 + 19*a**4/6 - 47*a**3 + 225*a**2 + 54*a - 2. Find n, given that l(n) = 0.
-25, 3
Let p(t) = -t**2 + 1. Let n(l) = -4*l**2 + 12*l + 7. Let y(m) = n(m) - 5*p(m). Let v be y(-12). Factor -o + 3*o**v + 9*o - 5*o.
3*o*(o + 1)
Let y(o) = 2*o**3 - 38*o**2 - o + 22. Let a be y(19). Factor -78*w + 78*w + 3*w**a - 3*w**2.
3*w**2*(w - 1)
Let q(z) be the first derivative of -1/3*z - 1/3*z**4 - 2/3*z**2 - 1/15*z**5 - 2/3*z**3 + 11. Factor q(f).
-(f + 1)**4/3
Factor -36*g**2 + g**4 + 17 + 27*g + 9*g**3 + 61*g**2 - 7.
(g + 1)**2*(g + 2)*(g + 5)
Let b = 3544 - 3541. Factor 4/5 - 1/5*c**b + c**2 - 8/5*c.
-(c - 2)**2*(c - 1)/5
Let q(v) = -v**2 - 6*v - 5. Let t be q(-4). Suppose -t*i + 20 = 2*i. Factor 8*h**2 - 4*h - 5*h**2 - i*h**2 - 4.
-(h + 2)**2
Suppose 14/3*x**5 - 178/3*x**4 + 0 - 344/3*x**2 - 48*x + 508/3*x**3 = 0. Calculate x.
-2/7, 0, 2, 9
Let c be 0 + 6/(-5)*-5. Suppose -5*m**2 - 2 + 14*m + m - c - 2 = 0. Calculate m.
1, 2
Let n(j) be the first derivative of j**6/2 - 18*j**5/5 + 9*j*