**4 + 2 + 2*t**3 - 3/2*t**2 - j*t = 0.
-1, 1, 2
Let l(m) = 32*m**3 + 1176*m**2 - 1495*m + 389. Let z(h) = 4*h**3 + 147*h**2 - 187*h + 48. Let n(a) = 6*l(a) - 51*z(a). Let n(g) = 0. What is g?
-38, 1/4, 1
Suppose 16/5*t - 2/5*t**2 - 32/5 = 0. What is t?
4
Let c = 1927 - 1924. Let -3/2*h**2 - 3/8*h - 7/8*h**c + 1/4 = 0. What is h?
-1, 2/7
Let w be (-9)/(-6)*28/2. Let b be 6/(-80)*2*-5*4. Factor -w*k**4 + 7*k**4 + 2*k**4 + 10*k**4 + 4*k**b.
-2*k**3*(k - 2)
Let y(c) be the first derivative of c**5/50 + c**4/15 + c**3/15 + 10*c - 43. Let a(t) be the first derivative of y(t). Find n such that a(n) = 0.
-1, 0
Let p(w) be the second derivative of w**8/840 - w**7/420 - w**6/60 + w**5/60 + w**4/6 + 5*w**3/3 + 10*w. Let j(q) be the second derivative of p(q). Factor j(v).
2*(v - 2)*(v - 1)*(v + 1)**2
Factor -2/7*i**2 + 2/7*i**4 - 2/7*i + 2/7*i**3 + 0.
2*i*(i - 1)*(i + 1)**2/7
Let z(s) be the second derivative of s**6/15 + 4*s**5/5 - 8*s**4 - 256*s**3/3 + 1024*s**2 - 18*s - 2. Factor z(c).
2*(c - 4)**2*(c + 8)**2
Let n = -204 + 204. Let m(q) be the first derivative of 0*q**2 + 2/25*q**5 + 5 + n*q**4 + 2/5*q - 4/15*q**3. Find h, given that m(h) = 0.
-1, 1
Let o(i) = -13*i**3 + 16*i**2 - 4*i + 4. Let u(t) = -69*t**3 + 81*t**2 - 21*t + 21. Let n(l) = 21*o(l) - 4*u(l). Determine d, given that n(d) = 0.
-4, 0
Factor -3*p**2 + 69993*p + 5292 - 12*p**3 - 1002*p**2 - 90909*p.
-3*(p + 42)**2*(4*p - 1)
Let d = 65 - 63. Factor -20*z - 4*z**3 - 5 + 2*z**2 - 20*z**d - 1.
-2*(z + 1)*(z + 3)*(2*z + 1)
Let i be (-6)/(-9)*(-9 + 132/14). What is q in 10/7*q**2 - 8/7*q - i = 0?
-1/5, 1
Let x be 4/18 + 4/(-18). Suppose -2*l + 7 = 2*h - 9, x = 4*h + 5*l - 37. Factor 6*w**3 - 5*w**3 - 2*w**3 + 6*w - w**h + 4*w**2.
-2*w*(w - 3)*(w + 1)
Let d(i) = 6*i**3 - 2*i - 654 + 2*i**3 + 654. Let n(b) = -17*b**3 + b**2 + 5*b. Let c(v) = 13*d(v) + 6*n(v). Let c(u) = 0. What is u?
-2, -1, 0
Suppose -2*v - 16 = -4*i, 3*v = -3*i - 5 + 17. Suppose v*s = -6*s + 12. Suppose 3/2*a**3 - 1 + 1/2*a**4 - 3/2*a + 1/2*a**s = 0. Calculate a.
-2, -1, 1
Suppose -5*i - 4*d + 7*d = 45, -2*d - 34 = 2*i. Let w be (-8)/(-12) + i/126. Factor w*f**3 - 4/7*f**2 + 4/7*f**4 - 4/7*f + 0.
4*f*(f - 1)*(f + 1)**2/7
Let t(w) be the first derivative of -25*w**2 - 7 - 5/3*w**3 - 125*w. Factor t(f).
-5*(f + 5)**2
Let m(a) be the first derivative of a**7/42 - 27*a**2/2 + 8. Let y(v) be the second derivative of m(v). Factor y(p).
5*p**4
Let w(h) be the first derivative of 8 - h**5 + 0*h**4 + 5/3*h**3 + 0*h + 0*h**2. Suppose w(b) = 0. Calculate b.
-1, 0, 1
Let n be 24/((-6)/(-3 - 0)). Let -3*j**2 + 7*j**2 + 2*j**2 - n*j - 2*j**2 - 16 = 0. What is j?
-1, 4
Suppose 1024/3 - 20*k**2 + 128*k + 2/3*k**3 = 0. What is k?
-2, 16
Let n(w) be the second derivative of -w**5/120 - w**4/12 + 5*w**3/12 + 5*w**2 - 14*w. Let g(m) be the first derivative of n(m). Factor g(f).
-(f - 1)*(f + 5)/2
Let m(o) = 5*o**3 - o**2 + o - 1. Let d(q) = -q**2 - 7*q - 5. Let y be d(-6). Let n be m(y). Factor 4*b + 4*b**3 - 5*b**3 + 2*b**2 - b - n*b.
-b*(b - 1)**2
Let q = 22 + 33. Solve -15*t**4 - 10*t + 17*t**4 + 0*t + q*t**2 + 33*t**4 - 80*t**3 = 0 for t.
0, 2/7, 1
Suppose -11*u - 21 + 43 = 0. Factor j - 1/2 - 1/2*j**u.
-(j - 1)**2/2
Let t(d) be the first derivative of 0*d**2 - 24 + 0*d + 2/25*d**5 + 0*d**3 + 1/5*d**6 - 1/5*d**4. Factor t(a).
2*a**3*(a + 1)*(3*a - 2)/5
Determine h, given that -7*h**2 - 30*h - 18 + 21*h**2 - 2*h**3 + 5*h**2 - 33*h**2 = 0.
-3, -1
Let z(n) be the third derivative of 1/220*n**6 - 1/165*n**5 + 0*n**4 + 0 + 7*n**2 + 0*n**3 + n + 1/231*n**7. Suppose z(g) = 0. Calculate g.
-1, 0, 2/5
Let g = 5/439 - -2165/2634. Factor -1 + 2*m**2 - 11/6*m + g*m**3.
(m - 1)*(m + 3)*(5*m + 2)/6
Let v(o) be the third derivative of -2*o**7/105 - o**6/6 - 2*o**5/5 + 2*o**4/3 + 16*o**3/3 + 303*o**2. Find q such that v(q) = 0.
-2, 1
Let u be (-9234)/648 + 18/1. Factor -7/4*m**4 + 0 + u*m**3 - 9/4*m**2 + 0*m + 1/4*m**5.
m**2*(m - 3)**2*(m - 1)/4
Let d = 22 + -12. Let j be (-28)/(-8) - 12/(-8). Factor -j*o**2 + 22 + 25 - d*o - 52.
-5*(o + 1)**2
Let m(g) be the first derivative of -g**8/840 + g**6/180 + 8*g**3 + 48. Let u(z) be the third derivative of m(z). Let u(c) = 0. What is c?
-1, 0, 1
Let u(x) = -2*x**3 - 1. Let q(y) = 5*y**3 + 75*y**2 + 5*y - 70. Let m(z) = -q(z) - 5*u(z). Factor m(w).
5*(w - 15)*(w - 1)*(w + 1)
Let 162/5*f**3 + 258/5*f**2 - 3/5*f**5 + 9 + 177/5*f + 33/5*f**4 = 0. Calculate f.
-1, 15
Let s(b) be the second derivative of 2*b**7/21 + 2*b**6/15 - 3*b**5/5 - 5*b**4/3 - 4*b**3/3 + 3*b + 2. Factor s(m).
4*m*(m - 2)*(m + 1)**3
Let 19*c + 21/2*c**2 + 0 + 1/2*c**3 = 0. Calculate c.
-19, -2, 0
Let b(k) be the third derivative of 3*k**2 + 0*k**3 - 1/105*k**7 - 1/504*k**8 - 1/90*k**6 + 0*k**4 + 0 + 0*k + 0*k**5. Factor b(o).
-2*o**3*(o + 1)*(o + 2)/3
Let z(f) be the third derivative of f**7/735 + f**6/420 - f**2 - 3*f. Suppose z(b) = 0. Calculate b.
-1, 0
Suppose 0 = -3*r - 2*r - r. Let n be ((-18)/8 - (-2 - r))*-2. Factor 0*g - 1/2*g**2 + n.
-(g - 1)*(g + 1)/2
Let u(b) be the first derivative of 16 - 1/15*b**2 + 0*b**3 + 0*b + 1/30*b**4. Factor u(n).
2*n*(n - 1)*(n + 1)/15
Let n = 1/4 + -1/5. Let i(j) be the first derivative of 0*j + 5 + 2/5*j**2 + n*j**4 + 4/15*j**3. Let i(h) = 0. Calculate h.
-2, 0
Let u(t) be the first derivative of 0*t - 1/2*t**4 + 8/3*t**3 - 15 - 4*t**2. Factor u(k).
-2*k*(k - 2)**2
Solve 48/7*f**4 - 3*f**5 + 12/7*f + 9/7*f**3 - 48/7*f**2 + 0 = 0.
-1, 0, 2/7, 1, 2
Let g(x) be the first derivative of x**5/120 - x**3/36 - 12*x + 18. Let i(p) be the first derivative of g(p). Determine r so that i(r) = 0.
-1, 0, 1
Let h(a) be the first derivative of -2/45*a**3 + 1/30*a**4 - 1/45*a**6 + 0*a + 2/75*a**5 + 8 + 0*a**2. Find m, given that h(m) = 0.
-1, 0, 1
Let r(t) = t**3 - 18*t**2 + 3. Let i be r(18). Factor 9*q**3 - 20*q**3 + 6*q**i.
-5*q**3
Let i(l) be the first derivative of 14/9*l**2 - 4/3*l - 3 + 1/9*l**4 - 20/27*l**3. Let i(c) = 0. What is c?
1, 3
Suppose -3*c - 5*d = -32, 0 = 3*c - 2*d + 2 - 6. Factor -679 + 679 - 16*f + c*f**3.
4*f*(f - 2)*(f + 2)
Let p(b) be the third derivative of -1/90*b**6 - 1/1008*b**8 + 1/126*b**7 + 0*b**4 + 0*b**3 + 0*b**5 + 0 + 0*b + 18*b**2. Factor p(c).
-c**3*(c - 4)*(c - 1)/3
Let n(p) be the first derivative of -p**6/12 - p**5/10 + p**4/4 + p**3/3 - p**2/4 - p/2 + 73. Solve n(s) = 0.
-1, 1
Suppose -20*p + 188 - 148 = 0. Factor -56/3*c + 4 - 20/3*c**p.
-4*(c + 3)*(5*c - 1)/3
Let o(p) be the third derivative of -p**6/30 + 38*p**5/15 - 45*p**2. Find v, given that o(v) = 0.
0, 38
Factor 1/9*d**2 - 5/9*d - 2/3.
(d - 6)*(d + 1)/9
Suppose -168*p**2 - 6*p**3 + 19*p**4 + 50*p**3 + 2*p**5 + 98*p + 5*p**4 = 0. What is p?
-7, 0, 1
Suppose 103*l = 158*l - 220. Factor -4/9*j + 2/9*j**2 - 2/9*j**l + 4/9*j**3 + 0.
-2*j*(j - 2)*(j - 1)*(j + 1)/9
Suppose o - 61 = 2*o. Let k = -43 - o. Let -r + 5*r - k*r**3 + 2*r + 3 + 12*r - 3*r**2 = 0. Calculate r.
-1, -1/6, 1
Let a(v) be the third derivative of v**6/1140 - v**5/190 - 3*v**4/38 - 5*v**2 - v. Factor a(g).
2*g*(g - 6)*(g + 3)/19
Let n = -138 + 140. What is b in 299 + 2*b**n - 15*b - 57 + 59*b = 0?
-11
Let i be (-2)/((-20)/(-6)) - (-8)/(-20). Let r be 4*(-11)/(-20) - i/(-5). Factor 6/7*f + 3/7*f**r + 3/7.
3*(f + 1)**2/7
Let v(i) be the first derivative of 4/9*i**3 - 28/3*i**2 + 12 + 196/3*i. Determine k so that v(k) = 0.
7
Let x(b) be the second derivative of -b**6/320 + 11*b**5/160 - 35*b**4/64 + 25*b**3/16 - 5*b**2/2 - b. Let j(n) be the first derivative of x(n). Factor j(c).
-3*(c - 5)**2*(c - 1)/8
Let b = 4/5263 - -5247/21052. Let -b*q + 1 + 1/4*q**3 - q**2 = 0. What is q?
-1, 1, 4
Factor -20/9*o - 1/9*o**2 - 17/3.
-(o + 3)*(o + 17)/9
Factor 0 - c**2 - 1/2*c**3 + 3/2*c.
-c*(c - 1)*(c + 3)/2
Solve 265*t**4 - 1070 - 40*t**4 - t**4 - 13208*t**2 + 17520*t - 6130 + 2*t**5 + 2*t**5 + 2660*t**3 = 0 for t.
-30, 1, 2
Let u(i) = i**2 + i. Let a(q) = -4*q**2 + 2*q - 4. Let f(j) = 1 + j - 2*j + j - j. Let b(h) = -a(h) - 4*f(h). Let d(w) = 3*b(w) - 10*u(w). Factor d(r).
2*r*(r - 2)
Let k = -14 + 14. Let h(w) be the first derivative of 3 - 2/3*w**3 + k*w + 0*w**2. Factor h(p).
-2*p**2
Let g(j) be the second derivative of j**7/210 + j**6/60 - j**5/60 - j**4/12 - 5*j**2 - 10*j. Let t(r) be the first derivative of g(r). Factor t(s).
s*(s - 1)*(s + 1)*(s + 2)
Let v be ((-8)/(