 y + 21 = 0, 17 = 5*s + 2*y. Suppose -2*z + 2*p + 19 = s, 33 = 5*z - 4*p. Solve 4/3*b + 4/3*b**2 - 4/3*b**4 + 0 - b**3 - 1/3*b**z = 0 for b.
-2, -1, 0, 1
Let t(d) be the first derivative of -1/3*d**2 + 8/9*d**3 + 0*d - 11. Factor t(s).
2*s*(4*s - 1)/3
Let u(t) be the third derivative of t**6/200 + 9*t**5/100 + t**4/5 + 8*t**2 - 5. Factor u(a).
3*a*(a + 1)*(a + 8)/5
Let l(v) be the second derivative of v**6/210 - v**4/42 + v**2/2 - 9*v. Let i(r) be the first derivative of l(r). Solve i(d) = 0.
-1, 0, 1
Let m be 10/((-50)/((-50)/5)). Let p(j) be the second derivative of 3/140*j**5 + 1/70*j**6 + 0*j**m + 0*j**3 - 1/98*j**7 - 3*j - 1/28*j**4 + 0. Solve p(a) = 0.
-1, 0, 1
Suppose x + 3*h - 5*h = 6, -4*x = -4*h - 28. Factor -98*q**3 - 38*q**2 + 27*q**2 - 45*q**2 - x*q.
-2*q*(7*q + 2)**2
Let f(k) = 12*k**2 + 12*k. Let i(x) = -12*x**2 - 11*x + 1. Suppose -2*j + m = 2*m + 8, 3*j = 2*m - 12. Let q(z) = j*f(z) - 3*i(z). Factor q(g).
-3*(g + 1)*(4*g + 1)
Let m(g) be the third derivative of g**8/161280 - g**7/20160 - g**6/1920 - g**5/10 - 18*g**2. Let f(u) be the third derivative of m(u). Factor f(l).
(l - 3)*(l + 1)/8
Let -41*g**2 + 5*g + 32*g**2 + 10*g**2 + 4*g**2 + 19 - 299 = 0. Calculate g.
-8, 7
Let q(p) = 16*p**3 + 3*p**2 + 12*p + 10. Let a(m) = 19*m**3 + 2*m**2 + 11*m + 10. Let x(y) = 5*a(y) - 6*q(y). Factor x(d).
-(d + 1)*(d + 2)*(d + 5)
Let w = 278 + -270. Let d = 9 - 6. Factor -3 + 2*n**3 + d - 2*n**4 - w*n + 4*n**3.
-2*n*(n - 2)**2*(n + 1)
Let a(m) be the third derivative of 0 - m + 44*m**2 - 4/35*m**6 + 55/28*m**4 - m**3 - 52/35*m**5. What is c in a(c) = 0?
-7, 1/4
Factor 365*a**2 - 5 + 118 - 21 - 364*a**2 + 27*a.
(a + 4)*(a + 23)
Let f(l) = l**3 + 2*l**2 + 5*l - 8. Let n(x) = -x**3 - 2*x**2 - 6*x + 9. Let c = 91 - 98. Let z(j) = c*f(j) - 6*n(j). Factor z(d).
-(d - 1)*(d + 1)*(d + 2)
Let n be 10/(-65) + 4941/(-585) + 9. Let -7/5*w + 4/5*w**2 + n + 7/5*w**3 - 6/5*w**4 = 0. Calculate w.
-1, 1/2, 2/3, 1
Let i(h) be the third derivative of -h**8/336 - h**7/210 + h**6/120 + h**5/60 - 15*h**2. Suppose i(w) = 0. What is w?
-1, 0, 1
Solve -72 + 4/5*f**2 - 108/5*f = 0.
-3, 30
Let u be (0 - 2)*5/(-2) - -2. Factor b**3 - u*b**4 + 8*b**4 - 2*b**4 + b**2 - b.
-b*(b - 1)**2*(b + 1)
Let l(p) = p**5 + p**3 + p**2 - 3*p + 1. Let b(f) = 4*f**5 + 2*f**4 - 4*f**3 + 7*f**2 - 9*f + 3. Let u(a) = -2*b(a) + 6*l(a). Factor u(d).
-2*d**2*(d - 1)**2*(d + 4)
Let g(a) be the second derivative of 2/105*a**7 + 1/15*a**4 - 1/25*a**5 + 0*a**2 + 13*a - 2/75*a**6 + 0 + 0*a**3. Determine b so that g(b) = 0.
-1, 0, 1
Suppose -3*a = z - 1, 3*z + 5*a + 21 = 7*z. Let d be 3 + 8/z - 1. Factor -3*f**5 + 23*f**3 - f**4 - 3*f**2 + 4*f**d - 20*f**3 + 0*f**2.
-3*f**2*(f - 1)**2*(f + 1)
Let f be 1 - (-10)/(-8) - 198/(-24). Factor 20 + 2*r + 3*r**2 - 3*r - f*r**2 - 14*r.
-5*(r - 1)*(r + 4)
Let v = -1/3 + 11/6. Let f be (-100)/(-208) + 15/(-65). Factor f*d**2 - v*d + 9/4.
(d - 3)**2/4
Let t be 1/((-4)/(-20) + 0). Factor -a + 4*a**4 - 4*a**t + 4*a**2 + 8*a**5 - 5*a**5 - 6*a**3.
-a*(a - 1)**4
Let q(m) be the first derivative of 9/14*m**2 - 24/35*m**5 + 0*m**4 + 10 - 3/14*m**6 - 6/7*m + 10/7*m**3. Solve q(o) = 0 for o.
-2, -1, 1/3, 1
Find o such that -865/4*o**3 - 1458 - 1/4*o**5 + 2673*o - 13*o**4 - 1971/2*o**2 = 0.
-18, 1
Let n be 5 + (2 - (-3 - -3)). Let m = n + -5. Determine k, given that 5*k**2 - 2*k**3 - k**m + k**2 - 2*k - k**2 = 0.
0, 1
Let v = 5/228 + 433/7980. Let h(k) be the third derivative of 0*k - 11/90*k**6 + 0 + 0*k**3 - 1/36*k**4 - v*k**7 - 6*k**2 - 1/56*k**8 - 4/45*k**5. Factor h(x).
-2*x*(x + 1)**2*(3*x + 1)**2/3
Determine f, given that -134*f + 46*f - 32*f**2 - 42*f**2 + 75*f**2 + 1936 = 0.
44
Let m be ((-5)/(-30))/((-7)/(-294)). Let r(g) be the first derivative of 16/7*g**2 - 1/2*g**4 - 10/21*g**3 + m - 8/7*g. Factor r(k).
-2*(k - 1)*(k + 2)*(7*k - 2)/7
Let s(c) = -131*c + 265. Let a be s(2). Factor 8/7*t**2 + 8/7*t + 2/7*t**a + 0.
2*t*(t + 2)**2/7
Let r(a) = 21*a**3 + 75*a**2 + 54*a - 12. Let y(k) = -k**3 + 2*k**2 + k + 1. Let d(f) = r(f) + 4*y(f). Solve d(u) = 0.
-4, -1, 2/17
Let o(x) be the third derivative of 22*x**2 + 1/12*x**5 + 0*x + 5/12*x**4 + 0*x**3 + 0. Factor o(v).
5*v*(v + 2)
Factor -1/7*d**2 - 1008 + 24*d.
-(d - 84)**2/7
Let i(g) be the first derivative of 8*g**3/7 + 3*g**2/14 - 34. Let i(p) = 0. Calculate p.
-1/8, 0
Suppose 36*t - 99 + 27 = 0. Let k(d) be the third derivative of -1/60*d**6 + 0 - 5/12*d**4 + t*d**2 - 2/15*d**5 - 2/3*d**3 + 0*d. Factor k(r).
-2*(r + 1)**2*(r + 2)
Let p(o) be the third derivative of o**6/24 + o**5/12 - 5*o**4/6 - 10*o**3/3 + 4*o**2 + 9. Suppose p(c) = 0. Calculate c.
-2, -1, 2
Let k(b) be the second derivative of -b**7/210 - 13*b**6/150 - 3*b**5/5 - 28*b**4/15 - 32*b**3/15 - b + 50. Let k(g) = 0. What is g?
-4, -1, 0
Let h = -2231 - -2234. Factor -8/5 + 12/5*m + 12/5*m**2 - 8/5*m**h.
-4*(m - 2)*(m + 1)*(2*m - 1)/5
Let t(x) be the second derivative of 1/189*x**7 + 0*x**3 + 1/27*x**4 + 0 + 0*x**2 - 7*x - 1/30*x**5 + 0*x**6. Let t(a) = 0. What is a?
-2, 0, 1
Let k(r) = 9*r**4 - 66*r**3 + 304*r**2 - 364*r - 4. Let u(z) = -8*z**4 + 67*z**3 - 303*z**2 + 363*z + 3. Let h(v) = 3*k(v) + 4*u(v). Factor h(j).
-5*j*(j - 6)**2*(j - 2)
Let o(w) = -3*w**3 + 5*w**2 - 5*w - 1. Let m = -54 + 45. Let f(a) = -12*a**3 + 19*a**2 - 20*a - 5. Let y(d) = m*o(d) + 2*f(d). Find x such that y(x) = 0.
1/3, 1
Let p(u) = 0*u - u**2 - 4*u + 0*u**2 + 1 + 0*u. Let t be p(-3). Factor -8*j**2 - j**3 + 6*j**2 + t*j - 5*j.
-j*(j + 1)**2
Let o(c) be the first derivative of -c**7/56 - c**6/10 - 3*c**5/16 - c**4/8 + 19*c - 11. Let b(m) be the first derivative of o(m). Factor b(t).
-3*t**2*(t + 1)**2*(t + 2)/4
Suppose 5 = 5*z + 5*s, 2*z - 20 = 93*s - 89*s. Let 0 + 4/3*d**z + 0*d - 2/3*d**5 + 0*d**2 - 2/3*d**3 = 0. What is d?
0, 1
Let c(r) = -r**3 - 23*r**2 + 2*r + 23. Let p be c(-23). Let o = p - -25. Determine x, given that -31*x**4 + 1 - 6*x**o - 7/2*x + 29*x**3 + 21/2*x**5 = 0.
-1/3, 2/7, 1
Suppose k + 42*k = -13*k. Factor 20/13*t - 2/13*t**2 + k.
-2*t*(t - 10)/13
Let r(j) be the first derivative of -25 + 1/12*j**3 - 3/8*j**2 - 5/2*j. Factor r(b).
(b - 5)*(b + 2)/4
Let u be (-2)/36*-3*(86 - 84). Factor -1/3*m**2 + 1/3*m + 1/3 - u*m**3.
-(m - 1)*(m + 1)**2/3
Let t = 46 + -134/3. Let s = 3124/2649 + 136/883. Find d, given that 6*d**2 - 6*d**4 + 0 + t*d**3 - s*d = 0.
-1, 0, 2/9, 1
Factor -1/4*q**2 + 9/2*q + 0.
-q*(q - 18)/4
Let g = -592/99 + 78/11. Let w be (55 - 54) + (-3)/3. Let w - 2/3*x**3 - 2/9*x + 2*x**4 - g*x**2 = 0. What is x?
-1/3, 0, 1
Let n(y) = 6*y**4 + 64*y**3 + 26*y**2 - 20*y + 12. Let r(u) = 2*u**2 - 2. Let i(k) = -n(k) - 6*r(k). Let i(w) = 0. What is w?
-10, -1, 0, 1/3
Let m(j) be the second derivative of 5*j**4/24 + 49*j**3/12 - 5*j**2/2 + 118*j. What is q in m(q) = 0?
-10, 1/5
Find j such that 154/3*j**3 + 0 + 0*j - 2/3*j**4 + 52*j**2 = 0.
-1, 0, 78
Suppose 0 = -11*y + 12*y. Let q(m) be the first derivative of 0*m**2 - 8 + 1/2*m + y*m**4 + 1/10*m**5 - 1/3*m**3. Factor q(u).
(u - 1)**2*(u + 1)**2/2
Determine t so that -3*t**3 - 4*t**3 + 7*t**3 - 72*t**2 + 2*t**4 + 80*t + 12*t**3 = 0.
-10, 0, 2
Let q(k) be the second derivative of 1/12*k**6 + 0*k**2 - 1/6*k**4 - 3/20*k**5 - 1/84*k**7 - 5*k + 2/3*k**3 + 0. Let q(x) = 0. What is x?
-1, 0, 2
Let z(t) be the first derivative of 2*t**5/115 - t**4/46 - 42*t**3/23 - 243*t**2/23 - 540*t/23 + 35. Find r, given that z(r) = 0.
-3, 10
Let l be (3 - 3)/(-2 + -1 - -5). Let s(c) be the second derivative of -1/2*c**3 - 2/3*c**4 + 1/42*c**7 - 5*c + 0*c**2 - 3/10*c**5 + 0 + l*c**6. Factor s(h).
h*(h - 3)*(h + 1)**3
Let n(f) be the third derivative of -f**6/80 + 81*f**5/20 - 2187*f**4/4 + 39366*f**3 - 402*f**2. Factor n(c).
-3*(c - 54)**3/2
Let q(u) be the second derivative of -u**10/7560 + u**8/840 - u**6/180 + u**4 - 19*u. Let c(v) be the third derivative of q(v). Factor c(a).
-4*a*(a - 1)**2*(a + 1)**2
Factor 367 - 9*j**2 - 991 - 22*j**2 + 2192*j + 3*j**2.
-4*(j - 78)*(7*j - 2)
Let x(t) = -t**2 + t + 2. Let u be x(0). Let f be -2 + 7 - 39*(-6)/(-54). Factor -2*i - f - 4/3*i**u.
-2*(i + 1)*(2*i + 1)/3
Let f(j) = 40*j**3 + 4*j**2 + 24. Let b(q) = 3*q**3 + q**2 + q + 2. Let u(m) = -12*b(m) + f(m). Suppose u(t) = 0. What is t?
-1, 0, 3
Let h(p) be the third derivative of -p**6/360 + 11*p**5/180 - 5*p**4/36 + 92*p**2. Fa