*(z - 1)**4
Let q(o) = o**2 - o - 10. Let f be q(0). Let l be 1/3 + 4*f/(-15). Suppose -104/5*u**2 + 98/5*u**4 + 0 + 28*u**l + 16/5*u = 0. What is u?
-2, 0, 2/7
Let t = -17 - -30. Suppose -t = -3*y + 11. Solve y*g**3 - 2*g + 3 + 18*g**2 + 1 + 14*g - 2 = 0 for g.
-1, -1/4
Let s(h) be the first derivative of -4*h**3/3 - 92*h**2 - 516*h + 346. Determine d, given that s(d) = 0.
-43, -3
Let z be (225/18)/(-5) + 29/10. Factor -z*l**2 - 6/5*l + 0.
-2*l*(l + 3)/5
Let f = 27 - 24. Let a(i) be the first derivative of 0*i**2 - 1 + 0*i - 1/3*i**f. Factor a(m).
-m**2
Factor -1 + 3*x**2 - 4*x**2 - 12*x + 12*x + 2*x**2.
(x - 1)*(x + 1)
Let x(a) be the first derivative of -3/20*a**5 - 38 + 0*a - 9/16*a**4 - 3/4*a**2 + 5/4*a**3 + 1/8*a**6. Factor x(p).
3*p*(p - 1)**3*(p + 2)/4
Let z(u) be the third derivative of u**7/840 + u**6/120 + u**5/48 + u**4/48 - 49*u**2. Factor z(y).
y*(y + 1)**2*(y + 2)/4
Let d = -22557 + 22557. Factor -15/4*f**2 + 27/4*f**3 + d + 21/4*f**5 - 3*f + 51/4*f**4.
3*f*(f + 1)**3*(7*f - 4)/4
Let t(n) be the second derivative of -n**6/6 - 13*n**5/2 - 70*n**4 + 65*n**3/3 + 845*n**2/2 - 3*n - 9. Factor t(s).
-5*(s - 1)*(s + 1)*(s + 13)**2
Let r = 22588 - 22585. What is o in 3*o**5 + 3/2*o**r + 27/4*o**4 - 6*o**2 - 9/2*o - 3/4 = 0?
-1, -1/4, 1
Let n(z) be the second derivative of 2*z**6/15 + 11*z**5/5 + 14*z**4 + 136*z**3/3 + 80*z**2 + 6*z + 3. Factor n(i).
4*(i + 2)**3*(i + 5)
Find f, given that -68/21 - 64/21*f**2 + 134/21*f - 2/21*f**3 = 0.
-34, 1
Let m(f) = -2*f**3. Let p(h) = -15*h**3 + 6*h**2. Let s(v) = 6*m(v) - p(v). Solve s(c) = 0.
0, 2
Let -607*f**2 + 30*f**3 - 12*f**4 + 0 - 603*f**2 + 0 - 2*f**5 + 1194*f**2 = 0. What is f?
-8, 0, 1
Let g(d) be the third derivative of d**6/540 - 104*d**5/45 + 10816*d**4/9 - 8998912*d**3/27 + 653*d**2. Determine u so that g(u) = 0.
208
Factor 12*c**4 + 3*c - 15*c**4 + 116*c**3 - 107*c**3 - 9*c**2.
-3*c*(c - 1)**3
Let f(q) be the second derivative of q**6/2340 - q**5/390 + q**4/156 + q**3/2 + 7*q. Let t(y) be the second derivative of f(y). Determine h so that t(h) = 0.
1
Let w(n) be the first derivative of n**4 + 32*n**3/3 + 40*n**2 + 64*n + 563. Factor w(y).
4*(y + 2)**2*(y + 4)
Let y be (3/(-15))/(-2*5/(-40)*-2). Factor y*g**2 + 2/5*g**3 + 1/5*g**5 - 3/5*g + 1/5 - 3/5*g**4.
(g - 1)**4*(g + 1)/5
Let u(h) = h**2 - 8*h - 29. Let r be u(11). Determine c, given that 10*c + r*c**2 + 5*c + c**3 - 13*c + c**3 = 0.
-1, 0
Let q(t) be the third derivative of -t**5/240 + t**3/24 + 3*t**2 + 42. Determine w so that q(w) = 0.
-1, 1
Let y = -8841/4 - -2211. Factor y*c + 1/4*c**2 - 3/4*c**3 - 1/4.
-(c - 1)*(c + 1)*(3*c - 1)/4
Let f be (-24 - -16) + 2 + 2 + 6. Let g(q) be the first derivative of 26/3*q**3 + 18*q + q**4 + 5 + 24*q**f. Let g(m) = 0. Calculate m.
-3, -1/2
Let z(j) = -36*j**2 + 123*j - 45. Let i(r) = -35*r**2 + 121*r - 48. Let p(g) = 3*i(g) - 4*z(g). Determine y, given that p(y) = 0.
4/13, 3
Let f(x) be the second derivative of x**4/54 + 52*x**3/9 + 750*x. Determine k so that f(k) = 0.
-156, 0
Let v(q) be the third derivative of 0*q + 0*q**3 + 1/3*q**5 + 0 - 5/24*q**4 + 14*q**2. What is f in v(f) = 0?
0, 1/4
Let h(w) be the third derivative of w**5/270 + 25*w**4/108 + 8*w**3/9 - 6*w**2 - 6*w. Factor h(p).
2*(p + 1)*(p + 24)/9
Let l(w) = -w + 2. Let n be l(-2). Factor -2*o**4 + 6*o**2 - 6*o**4 + 2*o**4 + 4*o**3 + 4*o**n.
-2*o**2*(o - 3)*(o + 1)
Let d(h) be the first derivative of -4*h**3/21 - 9*h**2/7 + 10*h/7 - 72. Factor d(b).
-2*(b + 5)*(2*b - 1)/7
Let d(n) be the first derivative of 4*n**6 - 42*n**5/5 - 9*n**4/4 + 14*n**3 - 15*n**2/2 + 200. Solve d(a) = 0.
-1, 0, 1/2, 1, 5/4
Let g(w) be the third derivative of 0 + 0*w + 3/56*w**4 - 1/280*w**6 - 19*w**2 - 1/7*w**3 + 0*w**5. Factor g(s).
-3*(s - 1)**2*(s + 2)/7
Factor -24/7 + 2/21*h**2 - 10/21*h.
2*(h - 9)*(h + 4)/21
Let x(u) = u**3 - u**2 - u - 1. Let h(r) = -4*r**3 - 7*r**2 + 50*r - 49. Let c(q) = -3*h(q) - 15*x(q). Find i such that c(i) = 0.
3, 6
Let l(w) be the first derivative of -w**6/480 + w**5/40 - 3*w**4/32 + 6*w**3 - 12. Let s(y) be the third derivative of l(y). Factor s(r).
-3*(r - 3)*(r - 1)/4
Factor 8/3*v + 1/3*v**3 - 4/3 - 5/3*v**2.
(v - 2)**2*(v - 1)/3
Let k(r) = -r**3 - r**2 + 4*r + 1. Let q = 9 - 12. Let d be k(q). Factor -6*u + 5*u**5 + 9*u**2 - 2*u**5 - 4*u**3 + d*u**3 - 9*u**4.
3*u*(u - 2)*(u - 1)**2*(u + 1)
Suppose 0 = 5*r + 81 - 101. Let s(z) be the second derivative of 0 + 1/42*z**r - 1/7*z**2 - 1/42*z**3 + 1/140*z**5 + 5*z. Let s(d) = 0. Calculate d.
-2, -1, 1
Let r = -48 + 50. Let x(z) be the third derivative of 0 - 1/36*z**4 - 1/60*z**6 + 1/30*z**5 + 1/315*z**7 - z**r + 0*z**3 + 0*z. Let x(v) = 0. What is v?
0, 1
Let r(n) = 9*n**2 - 91*n + 252. Let s(l) = -3*l**2 + 30*l - 84. Let k(h) = -3*r(h) - 8*s(h). Determine j, given that k(j) = 0.
4, 7
Let p(z) = z**3 - z**2 - z - 1. Let r = 4 - -21. Let c be (10/r)/(4/10). Let a(n) = 6*n**3 - 14*n**2 - 8*n. Let t(l) = c*a(l) - 8*p(l). Factor t(f).
-2*(f - 1)*(f + 2)**2
Suppose -133 = 4*q - 8*q + o, -2*q + 70 = -4*o. Let 2*a - 66*a + 12 + 33*a**2 - 41*a + q*a = 0. Calculate a.
2/11, 2
Let d(a) be the first derivative of -a**4 + 6*a**2 - 17*a + 10. Let f(g) = g**3 - 3*g + 4. Let j(l) = 2*d(l) + 9*f(l). Factor j(y).
(y - 1)**2*(y + 2)
Let 189*z**2 - 140*z**3 + 10*z**3 + 160 + 163*z**2 - 440*z + 28*z**2 + 15*z**4 = 0. Calculate z.
2/3, 2, 4
Let l = 5 - -12. Suppose -3*k = -3, 2*m + k + 4 - l = 0. Suppose 6*t + 2*t**2 - m*t + 4*t**3 + 0*t + 2*t**4 = 0. What is t?
-1, 0
Let t be ((-42)/(-9))/((-10)/15). Let i be (-8)/(-2)*t/(-126). Suppose 8/9*k**5 + 4/9*k**3 - 2*k**4 + i + 16/9*k**2 - 4/3*k = 0. Calculate k.
-1, 1/4, 1
Let g(m) be the third derivative of m**9/80640 - m**8/8960 + m**7/2240 - m**6/960 + m**5/10 - 4*m**2. Let z(c) be the third derivative of g(c). Factor z(l).
3*(l - 1)**3/4
Let h(q) be the third derivative of 3/40*q**6 + 0*q**4 + 1/112*q**8 - 3/70*q**7 + 0 - 1/20*q**5 + 13*q**2 + 0*q**3 + 0*q. Find w such that h(w) = 0.
0, 1
Let h = -9657 - -144857/15. Factor 0 - h*i + 2/5*i**3 - 4/15*i**4 + 0*i**2.
-2*i*(i - 1)**2*(2*i + 1)/15
Suppose 55 = 50*p - 95. Factor 10/11*g**p + 0*g - 2/11*g**4 + 0 + 0*g**2.
-2*g**3*(g - 5)/11
Let t(b) be the second derivative of -2/3*b**3 - 4/5*b**5 + 0 - 5/3*b**4 - 16*b + 0*b**2. What is m in t(m) = 0?
-1, -1/4, 0
Let i = -4723 + 4733. Find h such that -10*h**4 + 0 + 5/2*h + 15*h**3 + 5/2*h**5 - i*h**2 = 0.
0, 1
Let u(w) be the first derivative of -2*w**5/15 + 3*w**4/2 - 6*w**3 + 9*w**2 - 7. Factor u(r).
-2*r*(r - 3)**3/3
Let b(w) be the second derivative of 5*w + 0 + 0*w**3 - 7/60*w**5 + 1/12*w**4 + 2*w**2. Let a(n) be the first derivative of b(n). Let a(t) = 0. Calculate t.
0, 2/7
Let g(v) = v + 10. Let k be g(-6). Suppose b - 2*d - 4 = k, 0 = 5*b + 3*d + 12. Factor -1/4*u**2 - 3/4*u + b.
-u*(u + 3)/4
Let v(m) be the first derivative of m**5/20 - 87. Let v(t) = 0. What is t?
0
Let b(t) be the second derivative of 1/84*t**4 + 0 + 1/140*t**5 + 0*t**2 - 1/210*t**6 - 20*t - 1/42*t**3. Factor b(s).
-s*(s - 1)**2*(s + 1)/7
Let z = -35 + 38. Let d(m) = -m + 6. Let u be d(z). Factor 2/5*t**u - 2/5*t + 2/5*t**2 - 2/5.
2*(t - 1)*(t + 1)**2/5
Let w(z) = -5*z**2 - 1211*z + 4. Let v(s) = 60*s**2 + 14540*s - 50. Let x(u) = 2*v(u) + 25*w(u). Factor x(l).
-5*l*(l + 239)
Let o(i) be the first derivative of 2*i**5 + 25*i**4/4 - 25*i**2/2 - 10*i + 94. Let o(z) = 0. What is z?
-2, -1, -1/2, 1
Let v(i) be the first derivative of -1/80*i**5 + 1/24*i**3 + 1 + 3*i - 1/48*i**4 + 1/8*i**2. Let d(p) be the first derivative of v(p). Solve d(k) = 0.
-1, 1
Let a = 236/445 - 58/445. Let o = 3 - 3. Determine y, given that 1/5*y**5 - a*y**3 + 0*y - 1/5*y**4 + 0*y**2 + o = 0.
-1, 0, 2
Suppose -3*z - g - 3*g = -2, 3*z = 3*g + 9. Let w(o) = -8*o**2 + 9*o + 12 - 5 + z. Let x(j) = j - 1. Let y(i) = w(i) + 5*x(i). Factor y(h).
-2*(h - 2)*(4*h + 1)
Suppose 3*p = 2*d - 33 - 5, -4*d = -3*p - 46. Let c = 12 + p. Factor 4*y - 3 - 6*y**2 - 3*y**4 + c + 0 + 4*y**3 + 2*y**4.
-(y - 1)**4
Let i be (2/1 + 8)/(-2). Let v(j) = -j - 1. Let f be v(i). Factor 8*w + 3*w**3 + f + 45*w**2 + 16*w + 22*w**3.
(w + 1)*(5*w + 2)**2
Let v(z) be the second derivative of 0*z**2 + 3/80*z**5 + 10*z - 1/56*z**7 + 3/16*z**4 - 3/40*z**6 + 0 + 0*z**3. Solve v(h) = 0 for h.
-3, -1, 0, 1
Let z = 3 + 1. Suppose 63 + 69