 = a(k) - 5*p(k). Let l(w) = 0. Calculate w.
-1, 0, 1/2
Let p = -104 - -106. Factor -12/7*x**p + 9/7*x**3 + 3/7*x + 0.
3*x*(x - 1)*(3*x - 1)/7
Factor -f**3 - 234*f - 3*f**3 + 8 + 246*f.
-4*(f - 2)*(f + 1)**2
Let k(t) be the first derivative of t**7/189 - t**5/45 + t**3/27 + t - 1. Let p(a) be the first derivative of k(a). Solve p(f) = 0.
-1, 0, 1
Let z(t) = 39*t**2 - 60*t + 3. Let i(a) = -11*a**2 + 17*a - 1. Suppose -4*m - 1 = -21. Let r(h) = m*z(h) + 18*i(h). Factor r(n).
-3*(n - 1)**2
Let f(s) = s**3 + 2*s**2 - 3*s + 2. Let y be f(-3). Let y*c**2 - 2*c**4 - 4/9*c**3 + 0 + 4/9*c = 0. Calculate c.
-1, -2/9, 0, 1
Let t = -29 + 35. Let a(b) be the third derivative of 0*b**3 + b**2 - 1/35*b**7 - 1/30*b**t + 0*b + 0*b**5 + 0*b**4 + 0. Factor a(z).
-2*z**3*(3*z + 2)
Let p = 5 + -1. Suppose -p*w = -9*w. Solve -1/2*g**3 + g**2 + w - 1/2*g = 0 for g.
0, 1
Suppose b - 2*b + 4 = 0. Let v(q) be the third derivative of 0*q + 0 - 1/30*q**b - 3*q**2 + 0*q**3 + 1/150*q**5. What is i in v(i) = 0?
0, 2
Factor 14*s - 14 + 36*s**2 + 4*s**3 + 46*s + 42.
4*(s + 1)**2*(s + 7)
Let b(j) = j**2 + 10*j + 12. Let i be b(-9). Factor 2*s**4 + 2*s**3 - 2*s**5 + i*s - 2*s**2 - 3*s.
-2*s**2*(s - 1)**2*(s + 1)
Factor 27/2*u + 9*u**2 + 0 + 3/2*u**3.
3*u*(u + 3)**2/2
Let j be 0 - (3 - 1 - -1). Let c(a) = -a**3 - 5*a**2 - 2*a - 2. Let h(q) = -6*q**2 - 3*q - 3. Let m(b) = j*c(b) + 2*h(b). Factor m(p).
3*p**2*(p + 1)
Let b(x) be the second derivative of -2*x + 1/2*x**2 + 0 - 5/6*x**3 + 1/4*x**5 - 1/12*x**4. Solve b(y) = 0.
-1, 1/5, 1
Let g(c) be the third derivative of 0*c**5 + 0*c**4 + 2*c**2 + 1/420*c**6 + 0 + 0*c**3 + 1/735*c**7 + 0*c. Suppose g(w) = 0. Calculate w.
-1, 0
Let s(t) be the first derivative of -t**4/4 + 5*t**3/3 - 16. Let z be s(5). Factor r + z + 1/2*r**2.
r*(r + 2)/2
Let y(g) = -g - 6. Let k be y(-10). Suppose -v = 2 - k. Suppose 0 + 4/3*c**4 - 4/3*c**v + 0*c**3 + 2/3*c**5 - 2/3*c = 0. Calculate c.
-1, 0, 1
Let t = -77 - -45. Let f be 1/3 - t/12. Determine h so that -2*h**2 + h**2 - 2*h**4 - 4*h**f - h**2 = 0.
-1, 0
Let t = 2363/7 + -337. Let k(m) = -m**3 + 5*m**2 + 4*m + 14. Let a be k(6). Let t + 30/7*c**a + 26/7*c = 0. Calculate c.
-2/3, -1/5
Let l(t) be the second derivative of -t**8/4200 + t**7/2100 + t**6/900 - t**5/300 - t**3/3 - t. Let r(f) be the second derivative of l(f). Factor r(h).
-2*h*(h - 1)**2*(h + 1)/5
Let a = 397/1365 + -1/195. Let 2/7*s**2 + 4/7*s + a = 0. Calculate s.
-1
Let t = 15 + -11. Determine j, given that -2*j**2 + 4*j**t + 0*j**4 - 2*j**4 = 0.
-1, 0, 1
Let f = -197811/1933 - -2/5799. Let t = -2137/21 - f. Factor 2/7*p**2 + 2/7 - t*p.
2*(p - 1)**2/7
Let l(f) = -4*f - 32. Let x be l(-8). Let v(g) be the third derivative of 0 - 2*g**2 + x*g**4 + 1/240*g**6 + 0*g - 1/120*g**5 + 0*g**3. What is b in v(b) = 0?
0, 1
Let a(s) = -s**2 - 17*s - 16. Let f(x) = 5*x**2 + 86*x + 81. Let b(i) = -33*a(i) - 6*f(i). Factor b(l).
3*(l + 1)*(l + 14)
Factor -4/17 - 2/17*j**2 + 6/17*j.
-2*(j - 2)*(j - 1)/17
Suppose q = 3*i - 1, -5 = -4*i - q + 6*q. Factor m**4 + 0*m**2 + i*m - 2/3*m**5 - 1/3*m**3 + 0.
-m**3*(m - 1)*(2*m - 1)/3
Let b(g) be the second derivative of -9*g**5/80 + g**4/4 + g**3/8 - 3*g**2/4 - 4*g. Find m such that b(m) = 0.
-2/3, 1
Let s(j) = -j + 1. Let l(q) = -q**2 + 5*q - 6. Let i(v) = l(v) + 6*s(v). Let w(c) = -6*c**2 - 8*c - 2. Let h(g) = 5*i(g) - w(g). Factor h(y).
(y + 1)*(y + 2)
Let s(d) be the third derivative of 0*d + 4*d**2 - 1/300*d**5 + 1/30*d**3 + 0 + 1/200*d**6 - 1/40*d**4. Factor s(u).
(u - 1)*(u + 1)*(3*u - 1)/5
Let m(p) = -9*p**2 + 45. Let o(k) = 100*k**2 - 495. Let z(c) = 45*m(c) + 4*o(c). Determine x so that z(x) = 0.
-3, 3
Suppose -z + 3*a - 13 = 0, -2*a + 5 = 5*z - 3*a. Determine b, given that -b**2 + 0*b**5 + 4 - z*b + 2*b**4 - 2*b**5 - 2 - 3*b**2 + 4*b**3 = 0.
-1, 1
Let x(m) be the third derivative of -m**8/5040 - m**7/840 - m**6/360 - m**5/360 + m**3/2 - m**2. Let o(c) be the first derivative of x(c). Solve o(j) = 0.
-1, 0
Let p = -1/53 + 113/371. Factor p*w**3 + 6/7*w**2 + 0 + 4/7*w.
2*w*(w + 1)*(w + 2)/7
Suppose m = 5*m - 8. Solve o - 2 - 6*o - m*o**3 - 4*o**2 + 2*o**3 - o**3 = 0.
-2, -1
Let n(b) be the first derivative of 2*b**5/35 + b**4/7 - 2*b**3/21 - 2*b**2/7 + 14. Solve n(o) = 0 for o.
-2, -1, 0, 1
Let p be 4/16 - (-5)/(-180). Let -8/9 + 8/9*b - p*b**2 = 0. What is b?
2
Suppose 2/5 + 4/5*u + 2/5*u**2 = 0. What is u?
-1
Let h = 11/3 - 3. Let b be (-1)/(-2)*(-72)/(-54). Suppose -h*u**3 + 2/3*u - 2/3 + b*u**2 = 0. What is u?
-1, 1
Suppose g - 1/2*g**2 + 3/2 = 0. What is g?
-1, 3
Find s such that 36*s + 0*s**3 + 3*s**3 - 57*s + 18*s**2 = 0.
-7, 0, 1
Suppose 0 = -5*m + 10, -5*n + 3*m - 5 + 54 = 0. Let q = -6 + n. Factor -f**q + f**4 + f + f**3 - 5*f**2 + 2*f**3 + f.
-f*(f - 1)**3*(f + 2)
Suppose -2*x + 8 = -y + 29, -4*x = 12. Suppose -6 = -3*r - 0. Factor 21*q**r + 4 - 6 - 2 - y*q - 2.
3*(q - 1)*(7*q + 2)
Let n be ((-11)/(-2) + -4)/12. Let w(a) be the first derivative of -n*a**6 + 1/6*a**3 + 1/16*a**4 + 1 + 0*a - 1/5*a**5 + 0*a**2. Factor w(d).
-d**2*(d + 1)**2*(3*d - 2)/4
Solve 36*m**5 + 6 + 10 - 20*m**3 - 53*m**4 - 60*m**2 + 113*m**4 = 0.
-1, 2/3
Let q(s) be the first derivative of s**7/735 - s**6/210 + s**5/210 + s**2/2 + 2. Let f(h) be the second derivative of q(h). Factor f(l).
2*l**2*(l - 1)**2/7
Find a, given that -3/5*a + 3/5*a**2 + 0 = 0.
0, 1
Let p(g) be the second derivative of g**6/195 + g**5/130 - g**4/26 - g**3/39 + 2*g**2/13 - 14*g. Find x such that p(x) = 0.
-2, -1, 1
Let c be ((-2)/6)/(3/(-27)). Solve 6*k**2 + 4*k**4 - 4*k**3 + 6*k**c + 8*k**3 + 2*k + 2*k**2 = 0 for k.
-1, -1/2, 0
Let 9/2*i**3 + 0 - 2*i**2 + 0*i - 7/4*i**4 - 3/4*i**5 = 0. Calculate i.
-4, 0, 2/3, 1
Let i(a) be the first derivative of 3/8*a**4 + 1/12*a**6 + 0*a - 3/10*a**5 - 1 - 1/6*a**3 + 0*a**2. Factor i(g).
g**2*(g - 1)**3/2
Factor -5/6*v - 1/3 + 5/6*v**3 + 1/3*v**2.
(v - 1)*(v + 1)*(5*v + 2)/6
Let y(t) be the first derivative of -t**6/3 - 6*t**5/5 + 9*t**4/2 - 10*t**3/3 - 20. What is h in y(h) = 0?
-5, 0, 1
Let w be ((-12)/(-50))/(14 - (-3333)/(-240)). Factor -2/15 + 14/15*g - 16/15*g**2 - w*g**3.
-2*(g + 1)*(4*g - 1)**2/15
Suppose -5*z + 0*z - 300 = 0. Let d be 6/(-9) + (-112)/z. Factor 2/5*l**5 - d*l**4 + 6/5*l**3 + 0*l - 2/5*l**2 + 0.
2*l**2*(l - 1)**3/5
Let r(p) be the second derivative of -p**4/3 + 2*p**2 + 2*p. Factor r(m).
-4*(m - 1)*(m + 1)
Suppose 13*a = 4*a. Let v(p) be the first derivative of p**2 + a*p + 3 - 8/3*p**3. Suppose v(f) = 0. Calculate f.
0, 1/4
Determine p, given that -34/15*p**2 - 8/15 - 24/5*p = 0.
-2, -2/17
Suppose -10*c = 202 - 222. Factor 0 - 1/6*p**c + 1/6*p.
-p*(p - 1)/6
Let b = -78 + 157/2. Factor -b*o**3 + 1/4*o + 0*o**4 + 0*o**2 + 0 + 1/4*o**5.
o*(o - 1)**2*(o + 1)**2/4
Let l = -23 - -23. Let y(b) be the second derivative of 1/75*b**6 + 0*b**3 + 1/105*b**7 - 1/50*b**5 + l*b**2 + 2*b - 1/30*b**4 + 0. Factor y(j).
2*j**2*(j - 1)*(j + 1)**2/5
What is d in -3/4*d**2 + 0*d**3 + 1/4*d**4 - 1/2*d + 0 = 0?
-1, 0, 2
Let v(b) be the second derivative of b**4/72 - b**3/18 + b**2/12 + 20*b. Factor v(z).
(z - 1)**2/6
Let y(h) be the first derivative of 3/10*h**2 - 1/15*h**3 - 2/5*h - 4. Let y(b) = 0. What is b?
1, 2
Let h(f) = f**2 + 8*f + 12. Let b be (8 + -2)*11/(-11). Let l be h(b). Find j such that l*j**2 - 1/4*j**4 + 0*j - 1/2*j**3 + 0 = 0.
-2, 0
Let g = 554 + -554. Factor 2/3*k**3 + 0*k + 1/3*k**2 + 1/3*k**4 + g.
k**2*(k + 1)**2/3
Let n(a) be the second derivative of 6*a**2 + 6*a + 0 - 7/2*a**3 + 1/2*a**4 + 3/20*a**5. Find k such that n(k) = 0.
-4, 1
Let g(k) = k**2 + 7*k - 3. Let d be g(5). Let y = 401/7 - d. Factor 2/7*h**2 - 4/7*h + y.
2*(h - 1)**2/7
Let s = -2 + 5. Let d be 3*((1 - s) + 3). Factor 3*r**d - 11/3*r**2 + 0 + 2/3*r.
r*(r - 1)*(9*r - 2)/3
Let p = -10 - -12. Let u(i) = -5*i. Let b be u(-1). What is f in 3*f**3 + 3 - 3*f**4 + 3*f**p - 3 - b*f + 2*f = 0?
-1, 0, 1
Factor -17*v - 108*v**2 - 2*v**4 - 115*v - 24*v**3 - 84*v - 162.
-2*(v + 3)**4
Let j(n) be the second derivative of -n**6/780 + n**4/156 + 2*n**2 - 2*n. Let g(u) be the first derivative of j(u). Factor g(s).
-2*s*(s - 1)*(s + 1)/13
Solve -13/8*j**3 + 0 + 3/4*j**4 + 3/2*j**2 - 1/8*j**5 - 1/2*j = 0.
0, 1, 2
Let u(a) be the second derivative of -2/7*a**2 + 0 - 1/70*a**5 - 5/21*a**3 + 9*a - 2/21*a**4. Factor u(d).
-2*(d + 1)**2*(d 