be 791/1 + 45/9. Factor 4*s - s**2 + 791 - x + 2*s.
-(s - 5)*(s - 1)
Let m(t) = 8*t**4 + 2*t**3 - 4*t**2 + 6*t. Let v(c) = -c**4 - 2*c. Let l(f) = -2*m(f) - 14*v(f). Solve l(o) = 0.
-2, 0, 2
Let y(o) = 17*o**3 + 88*o**2 + 61*o + 12. Let c(j) = 86*j**3 + 441*j**2 + 307*j + 61. Let p(x) = -2*c(x) + 11*y(x). Solve p(f) = 0 for f.
-5, -2/5, -1/3
Let d(u) be the first derivative of -u**3 + 105*u**2/2 - 102*u + 105. Solve d(i) = 0.
1, 34
Suppose -3*a + 242 = 74. Let g be a/(-12)*36/(-14). Factor g*p**4 + 0*p**2 + 21*p**3 - 2*p**2 + 8*p**2 - 3*p.
3*p*(p + 1)**2*(4*p - 1)
Solve 5/4*h**2 + 15/4*h**3 + 0 - 15/4*h - 5/4*h**4 = 0 for h.
-1, 0, 1, 3
Factor 6/7*j - 4/7 - 2/7*j**2.
-2*(j - 2)*(j - 1)/7
Let b(a) = 2*a**2 - 14*a + 14. Let y be (1 + 0)*(4 + 1 + 1). Let n be b(y). Suppose 4/3*k + 2/3 + 2/3*k**n = 0. What is k?
-1
Let i(g) = -g**2 + 7*g + 1. Let x be i(6). Let t be x + -4 - (0 + -2). Factor 4*w**4 - 4*w**2 + w**5 + 3*w**t + 27*w**3 - 31*w**3.
4*w**2*(w - 1)*(w + 1)**2
Let v(r) be the first derivative of -r**3 - 21*r**2 + 45*r + 73. Factor v(a).
-3*(a - 1)*(a + 15)
Let r(s) be the first derivative of -2*s**6/7 + 78*s**5/35 + 18*s**4/7 - 68*s**3/7 - 30*s**2/7 + 18*s + 238. Find t such that r(t) = 0.
-3/2, -1, 1, 7
Let n be -2*(-2 - (-12)/7). Let k be 13/(2002/72) + (-4)/22. Factor 4/7*s**3 + 0*s**2 + k - n*s - 2/7*s**4.
-2*(s - 1)**3*(s + 1)/7
Let k(w) be the second derivative of w**5/30 + w**4/2 - 61*w. Suppose k(z) = 0. What is z?
-9, 0
Let n(c) be the third derivative of -c**5/100 - c**4/8 + 19*c**2. Factor n(v).
-3*v*(v + 5)/5
Let s = 2037 - 54998/27. Let c(l) be the second derivative of -12*l + 0 + 1/90*l**6 - s*l**4 + 1/18*l**2 + 1/90*l**5 - 1/27*l**3. Solve c(v) = 0.
-1, 1/3, 1
Let l(p) be the second derivative of p**6/15 + p**5/2 - p**4/6 - 17*p**3/3 + 12*p**2 + p - 133. Find v such that l(v) = 0.
-4, -3, 1
Let u(q) = q**2 - 2*q - 2. Let k be u(-2). Let v be (-5)/10 - (-21)/k. Find f such that -f + 1 + 1/2*f**v - 3/4*f**2 + 1/4*f**4 = 0.
-2, 1
Let w(h) be the third derivative of -h**6/20 - h**5/15 + h**4/12 + 76*h**2. Factor w(r).
-2*r*(r + 1)*(3*r - 1)
Factor 1176 + 0*m + 6*m - 1168 - 2*m**2.
-2*(m - 4)*(m + 1)
Let g = -935 - -937. Let t(q) be the first derivative of -9/2*q**g + 6*q + 5 + q**3. Factor t(m).
3*(m - 2)*(m - 1)
Let f(b) be the third derivative of -b**5/60 + b**4/6 + 7*b**3/2 + 68*b**2 - 3. Suppose f(p) = 0. Calculate p.
-3, 7
Let d(k) = 4*k**3 - 8*k + 4. Let n(t) = -4*t + 4 - 3*t**3 + 7*t**3 - t**2 - 3*t. Let c(l) = 3*d(l) - 4*n(l). Suppose c(f) = 0. What is f?
-1, 1
Let g(o) = -o**3 - 5*o**2 - 13*o - 19. Let m be g(-3). Factor -26/9*w**m - 2/9*w**5 - 14/9*w**4 - 10/3*w**3 - 8/9*w + 0.
-2*w*(w + 1)**3*(w + 4)/9
Factor -4/5*j**2 + 264/5 + 124/5*j.
-4*(j - 33)*(j + 2)/5
Let u(p) be the second derivative of -15*p - 5/36*p**3 + 0 - 1/24*p**4 + 1/120*p**5 + 1/180*p**6 - 1/6*p**2. Factor u(r).
(r - 2)*(r + 1)**3/6
Let q be ((-3)/(-2) + 1)*(-104)/(-130). Factor 7*o**4 - 7*o**4 - 4*o**4 + 21*o**3 - o**3 - 16*o**q.
-4*o**2*(o - 4)*(o - 1)
Let n be (-10)/2*(-24)/40. Suppose -n = -3*c + 3. What is h in 2/3 + 4/3*h + 2/3*h**c = 0?
-1
Factor 0*x**3 + 0 + 2/3*x**5 + 8/3*x**4 - 32/3*x**2 - 32/3*x.
2*x*(x - 2)*(x + 2)**3/3
Let t(b) be the first derivative of -b**7/1120 + 7*b**6/480 - 3*b**5/32 + 9*b**4/32 + 2*b**3/3 - 14. Let y(m) be the third derivative of t(m). Factor y(u).
-3*(u - 3)**2*(u - 1)/4
Let z be (2 + (-34)/18)*(23 - 17). Factor -z + 16/3*x**3 - 8*x**2 - 5*x.
(x - 2)*(4*x + 1)**2/3
Solve 0*f**3 - 2/19 + 0*f - 2/19*f**4 + 4/19*f**2 = 0.
-1, 1
Let n be 5/(-4)*((8 - 14) + 2). Let u(a) be the first derivative of 3*a**3 + 33/4*a**4 + n - 12*a**2 - 3/2*a**6 - 12*a + 3/5*a**5. Let u(q) = 0. Calculate q.
-1, -2/3, 1, 2
Let z = 1992 - 1811. Let b be 174/21 + (-2)/7. Factor -b*k + z*k**2 - 169*k**2 + 0*k + 4*k**5 - 2*k**4 - 10*k**4 + 4*k**3.
4*k*(k - 2)*(k - 1)**2*(k + 1)
Let n(m) be the third derivative of 0*m + 0*m**4 + 1/330*m**5 + m**2 - 1/33*m**3 + 0. Suppose n(b) = 0. What is b?
-1, 1
Let b(y) be the first derivative of -y**5/80 - 3*y**4/16 - 9*y**3/8 + 5*y**2/2 + 5. Let p(v) be the second derivative of b(v). Factor p(i).
-3*(i + 3)**2/4
Let v(c) be the second derivative of -c**8/2400 + c**7/525 + c**6/450 - 19*c**4/12 + 20*c. Let u(d) be the third derivative of v(d). Factor u(y).
-2*y*(y - 2)*(7*y + 2)/5
Suppose -6*y = -y - 10. Find q such that -25*q**2 + 4 + 10*q - 4 + 30*q**y = 0.
-2, 0
Let q = -4 + 8. Factor 3*u - 8*u**3 + 57*u**3 + 21*u**2 + 12*u**5 + 39*u**4 - q*u**3.
3*u*(u + 1)**3*(4*u + 1)
Let x(p) be the third derivative of 0*p**3 + 0*p + 0*p**4 + 1/6*p**5 + 0 + 3*p**2 - 1/24*p**6. Factor x(j).
-5*j**2*(j - 2)
Let y(g) be the first derivative of -g**6/51 + 114*g**5/85 - 573*g**4/17 + 19780*g**3/51 - 38325*g**2/17 + 110250*g/17 - 712. Factor y(m).
-2*(m - 21)**2*(m - 5)**3/17
Suppose -198*r**3 + 10*r**4 - 36*r**2 - 202*r**3 + 3*r**5 + 26*r**4 + 397*r**3 = 0. What is r?
-12, -1, 0, 1
Let l(i) be the first derivative of 10 - 2*i + 1/9*i**3 + 5/6*i**2. Factor l(n).
(n - 1)*(n + 6)/3
Suppose 4*h - 9 = 3. Suppose -4*o**2 + h*o - 10*o**2 + 15*o**2 + 2 = 0. Calculate o.
-2, -1
Let f(l) be the third derivative of 1/8*l**3 + 0*l**4 + 0*l + 4*l**2 + 0 + 0*l**6 - 1/40*l**5 + 1/280*l**7. Factor f(q).
3*(q - 1)**2*(q + 1)**2/4
Suppose 4*q = -0*q - 8. Let y be 1/(-18)*(-2*3 - q). Determine k so that 0 + 2/9*k**2 + 0*k - y*k**4 + 2/9*k**3 - 2/9*k**5 = 0.
-1, 0, 1
Let o(k) be the second derivative of -k**5/10 - 2*k**4 - 3*k**3 + 22*k**2 - 201*k. Suppose o(v) = 0. Calculate v.
-11, -2, 1
Suppose 3*d + 2*z - 31 = -3, 5*z - 40 = -5*d. Let c be (0 - (-38)/d) + 3/(-1). Factor 1/2*b**2 + 2/3*b**3 - c*b + 0.
b*(b + 1)*(4*b - 1)/6
Let n(l) be the second derivative of 0 + 0*l**2 + 9*l - 1/30*l**5 - 1/9*l**3 - 1/9*l**4. Factor n(m).
-2*m*(m + 1)**2/3
Let j(p) be the second derivative of -p**6/105 - 3*p**5/70 + p**4/6 + 9*p**3/7 + 18*p**2/7 - 843*p. Determine b, given that j(b) = 0.
-3, -2, -1, 3
Suppose 2*j**4 + 97*j + 76*j**3 + 670*j + 2*j**4 + 416*j**2 - 63*j = 0. Calculate j.
-11, -4, 0
Let f(w) = -2*w**4 + 9*w**3 + w**2 - 8*w + 4. Let j(n) = 15*n**4 - 63*n**3 - 6*n**2 + 54*n - 27. Let p(q) = 27*f(q) + 4*j(q). Determine c, given that p(c) = 0.
0, 1/2, 1
What is s in 4*s**5 + 38 - 38 - 10*s**2 - 19*s**5 - 15*s**3 + 40*s**4 = 0?
-1/3, 0, 1, 2
Let i be 0 - (-30)/(-4) - (-63)/7. Let 0*y**3 + 3/2*y**4 - 3*y**2 + i + 0*y = 0. What is y?
-1, 1
Let n(y) = -47*y**2 + 130*y - 42. Let o(m) = -m**3 + 48*m**2 - 129*m + 42. Let j(c) = 4*n(c) + 5*o(c). What is f in j(f) = 0?
2/5, 3, 7
Let u(l) be the third derivative of -5/2*l**3 + 14*l**2 + 1/6*l**6 + 0 + 0*l + 1/6*l**5 - 5/6*l**4 + 1/42*l**7. Factor u(z).
5*(z - 1)*(z + 1)**2*(z + 3)
Let p(g) be the first derivative of g**5 - 5*g**4 + 25*g**3/3 - 5*g**2 + 65. Find o such that p(o) = 0.
0, 1, 2
Let 69*t + 30*t**2 - 18*t - 27*t**2 + 2*t**3 - 8*t**3 + 3*t**3 + 45 = 0. Calculate t.
-3, -1, 5
Let r(b) = 14*b**2 + 2*b + 1. Let h be r(-1). Let i(s) = 2*s - 21. Let u be i(h). Determine t, given that 0 + 0*t - 2*t**u + 0*t**2 + 0*t**3 - 4/3*t**4 = 0.
-2/3, 0
Factor -32/3*h**4 - 52/3*h**2 + 58/3*h**3 + 23/3*h - 4/3 + 7/3*h**5.
(h - 1)**4*(7*h - 4)/3
Let w be (-10)/((-20)/14) - 164/24. Let b(n) be the second derivative of -n**5 + 5/2*n**2 - 10/3*n**3 - n + w*n**6 + 5/2*n**4 + 0. Factor b(z).
5*(z - 1)**4
Suppose -3*r = -i - 0*r + 10, -r - 10 = -i. Suppose i*a - 30 = 4*a. Solve -2*n + 8/5*n**3 - 4/5 - 4/5*n**2 + 2/5*n**a + 8/5*n**4 = 0 for n.
-2, -1, 1
Let v(w) = -w**4 - 2*w**3 - 29*w**2 - 50*w - 32. Let l(u) = 3*u**4 + 4*u**3 + 59*u**2 + 99*u + 66. Let f(i) = 2*l(i) + 5*v(i). Factor f(a).
(a - 7)*(a + 1)*(a + 2)**2
Factor -20/3 + 20/3*j**2 + 2/3*j - 2/3*j**3.
-2*(j - 10)*(j - 1)*(j + 1)/3
Let m(b) be the second derivative of -b**7/1995 + 2*b**6/285 - 7*b**5/570 + 5*b**2/2 + 12*b. Let c(u) be the first derivative of m(u). Factor c(o).
-2*o**2*(o - 7)*(o - 1)/19
Let v(s) = 12*s**2 + 16*s + 2. Let f(g) = -270*g**2 + 282*g**2 + 29*g + 1 - 13*g. Let z(k) = 2*f(k) - 3*v(k). Suppose z(x) = 0. Calculate x.
-1, -1/3
Let j(y) be the first derivative of -2*y**3/39 - 36*y**2 - 8424*y - 39. Solve j(t) = 0.
-234
Let h(s) be the first derivative of 12/5*s - 1/5*s**3 - 9/10*s**2 + 33. Suppose h(i) = 0. What is i?
-4, 1
Let g(f) be 