h + 0*h**2 = 0. Calculate h.
-1, 0, 1
Suppose 6*i = i - o + 11, -7 = -i + o. Suppose 2*k + 52 = 2*m + m, k + 56 = i*m. Factor 15 + 4*d**3 + 20*d - 17 - 8*d + 38 - m*d**2.
4*(d - 3)**2*(d + 1)
Let t(a) = 17*a**5 - 28*a**4 - 12*a**3 - 11. Let y(d) = 9*d**5 - 15*d**4 - 6*d**3 - 6. Let r(g) = -6*t(g) + 11*y(g). Suppose r(w) = 0. What is w?
-1, 0, 2
Let n be 15/60 + 0/1. Suppose -10*g - 1361 = -1381. Factor 0 - 1/2*t + n*t**g.
t*(t - 2)/4
Let j(o) = -6*o - 12. Let f be j(-2). Let s be ((-8)/(-40)*25)/(5/2). Factor -2/3*r**s + 4/3*r + f - 2/3*r**3.
-2*r*(r - 1)*(r + 2)/3
Let b(k) = 19*k + 176. Let w be b(-9). Let z(l) be the third derivative of 0 - 3/4*l**4 + 6*l**2 + 0*l + 9/2*l**3 + 1/20*l**w. Suppose z(a) = 0. What is a?
3
Let p = -24959/20 - -1248. Let z(b) be the third derivative of 0 + 0*b + 1/8*b**4 + b**3 - p*b**5 + 5*b**2. Find v, given that z(v) = 0.
-1, 2
Let x(d) be the first derivative of -1/4*d**5 + 0*d**2 + 0*d - 1/4*d**3 + 7/16*d**4 - 31 + 1/24*d**6. Factor x(i).
i**2*(i - 3)*(i - 1)**2/4
Suppose 21 + 12 = -3*n - 4*w, 57 = -4*n - w. Let d be 25/n*(2 - 5). Let -4 + 8*v**3 - 5*v**5 - v**5 + 4*v**d + 4*v**2 - 6*v + 0*v**5 = 0. What is v?
-1, 1, 2
Let m(r) be the second derivative of r**6/10 - 9*r**5/4 + 13*r**4/4 + 15*r**3/2 - 21*r**2 + 686*r. Factor m(t).
3*(t - 14)*(t - 1)**2*(t + 1)
Let g(b) be the third derivative of -b**6/960 + 17*b**5/32 - 7225*b**4/64 + 614125*b**3/48 + b**2 - 21. Solve g(c) = 0.
85
Let o(t) be the third derivative of 2*t**7/315 + 7*t**6/180 - 29*t**5/90 + 2*t**4/9 + 4*t**3/3 - 5*t**2 - 25. Solve o(c) = 0 for c.
-6, -1/2, 1, 2
Let u(c) = 24*c**4 + 54*c**3 + 111*c**2 + 81*c. Let q(i) = -11*i**4 - 27*i**3 - 56*i**2 - 40*i. Let r(p) = -9*q(p) - 4*u(p). Find f, given that r(f) = 0.
-6, -2, -1, 0
Let r = 13 + -1. Let y = 13 + -11. Factor 2*g**4 + 12*g**3 + g**4 + 0*g**4 + 4*g + r*g**y + g**4.
4*g*(g + 1)**3
Let b(s) = -s**2 + s + 1. Let d(c) = -4*c**3 + 56*c**2 + 20*c + 20. Let y(o) = 20*b(o) - d(o). Factor y(u).
4*u**2*(u - 19)
Find o, given that -52/19*o**3 + 0*o**2 + 6/19*o**5 - 20/19*o**4 + 46/19*o + 20/19 = 0.
-1, -2/3, 1, 5
Let s(x) = -x**2 + 234*x - 500. Let o(r) = -2*r**2 - 2*r. Let z(w) = 3*o(w) - s(w). Factor z(f).
-5*(f - 2)*(f + 50)
Let j be (-8)/20 + (-36)/10. Let l be -5*j/(-20)*-2. Determine d so that 7*d + 9*d - 7*d + 3*d - 6*d**4 + 20*d**3 - 24*d**2 - l = 0.
1/3, 1
Let i(l) be the first derivative of -l**6/5 - 24*l**5/25 + 6*l**4 - 4*l**3 - 57*l**2/5 + 84*l/5 + 391. Determine k so that i(k) = 0.
-7, -1, 1, 2
Let j(v) = -3*v**2 - v. Let c(d) = -17*d**2 - 130*d + 3844. Let y(r) = -c(r) + 6*j(r). Factor y(l).
-(l - 62)**2
Let x be 6/10*(1 + (-475)/(-3)). Let c = 96 - x. Factor -2/5 + 4/5*k + c*k**4 - 4/5*k**3 + 0*k**2.
2*(k - 1)**3*(k + 1)/5
Let c(r) be the second derivative of r**5/10 - 631*r**4/24 + 12403*r**3/6 + 6241*r**2/4 + 374*r. Let c(b) = 0. What is b?
-1/4, 79
Suppose -3*m = 5*g - 23, -3*m = g - 8*m + 1. Let 5*s**3 + 4*s**2 + 2 - s**3 - 6*s + 744*s**4 + 2*s**5 - 750*s**g = 0. What is s?
-1, 1
Let t(y) = -y**3 + 23*y**2 + 25*y - 14. Let f be t(24). Suppose 119*o - 124*o + f = 0. Factor -8*z**o + 18/5*z**5 - 12*z**4 + 0 + 74/5*z**3 + 8/5*z.
2*z*(z - 1)**2*(3*z - 2)**2/5
Let f = 39 + -505/13. Factor -8/13*m**2 + 0 + 8/13*m + f*m**3.
2*m*(m - 2)**2/13
Let x(k) = 3*k - 16. Let c be x(6). Solve 4 - 4*o - 8*o**c - 5*o**5 + 3*o**4 + o**4 + o**5 + 15*o**3 - 7*o**3 = 0 for o.
-1, 1
Factor -58 - 55*f + 10 + 5*f**3 + 18 - 20*f**2.
5*(f - 6)*(f + 1)**2
Let m(y) be the first derivative of -25*y**9/1512 - 17*y**8/336 + y**7/24 + y**6/36 + 17*y**3/3 - 19. Let d(r) be the third derivative of m(r). Solve d(s) = 0.
-2, -1/5, 0, 1/2
Let g(f) = -13*f**3 - 55*f**2 - 120*f + 184. Let n(k) = 15*k**3 + 55*k**2 + 120*k - 185. Let y(l) = -5*g(l) - 4*n(l). Determine z so that y(z) = 0.
-6, 1
Let h = 65 - 127/2. Let a be 3/(-17) - (-74)/34. Find i, given that -h*i**3 - 3/2*i**4 + 0 + 0*i**a + 0*i = 0.
-1, 0
Let t(d) be the first derivative of 5*d**3/27 - d**2/18 - 2*d/3 - 593. Factor t(l).
(l + 1)*(5*l - 6)/9
Let t(s) be the second derivative of s**5/10 - s**3/3 + s**2 + s + 1. Let u be t(1). Solve -2/9*n**u - 8/9 + 8/9*n = 0.
2
Let s be 3 - -12 - 1/(-1). Let g = s + -14. Factor 4*j - 18*j**2 + 15*j**g - 3*j**3 - 4*j.
-3*j**2*(j + 1)
Suppose 4*y - 490*p = -491*p - 7, -2*y - 4*p - 28 = 0. Factor -2/3*s**4 + 0*s**2 - 4/3*s**5 + 2/3*s**3 + 0*s + y.
-2*s**3*(s + 1)*(2*s - 1)/3
Let q be 796/264 + (-15)/5. Let j(l) be the second derivative of 2/33*l**3 - q*l**4 + 0 + 5*l - 1/11*l**2. Determine b, given that j(b) = 0.
1
Let j(b) be the third derivative of -b**7/70 + 73*b**6/120 + 53*b**5/60 - 73*b**4/24 - 25*b**3/3 - 34*b**2 - 3. Determine z, given that j(z) = 0.
-1, -2/3, 1, 25
Factor -7/8*i + 0*i**2 + 1/8*i**3 + 3/4.
(i - 2)*(i - 1)*(i + 3)/8
Let l = -455 - -7283/16. Let s(o) be the first derivative of -1/24*o**6 + 0*o + 1 + 0*o**2 - 3/20*o**5 - 1/12*o**3 - l*o**4. Factor s(r).
-r**2*(r + 1)**3/4
Let w(y) be the third derivative of -y**6/420 - y**5/35 + 3*y**4/7 - 40*y**3/21 - 92*y**2. Factor w(a).
-2*(a - 2)**2*(a + 10)/7
Suppose 0 = 3*s + 4*b - 22, -7*b = 5*s - 3*b - 26. Let k(u) be the second derivative of 0 + 0*u**s + 0*u**3 + 1/30*u**4 + 8*u. Factor k(d).
2*d**2/5
Let r be (67 - 52) + (-103)/7. Factor 4/7 + r*q - 6/7*q**2.
-2*(q - 1)*(3*q + 2)/7
Let s(b) = 3*b + 29. Let x be s(-9). Let u(f) be the third derivative of -1/70*f**5 + f**x - 1/7*f**3 + 0*f + 0 - 5/42*f**4. Factor u(v).
-2*(v + 3)*(3*v + 1)/7
Let q(b) be the third derivative of b**6/300 + 2*b**5/25 + 41*b**4/60 + 2*b**3 - 396*b**2. Determine t so that q(t) = 0.
-6, -5, -1
Factor -42/11*t - 6/11*t**2 - 60/11.
-6*(t + 2)*(t + 5)/11
Let b(g) be the first derivative of 2*g**5 - 11*g**4/4 - 2*g**3 + 5*g**2/2 + 2*g + 47. What is v in b(v) = 0?
-1/2, -2/5, 1
Let c(h) = h**3 + 15*h**2 - h - 5. Let v be c(-15). Suppose v*u = 9*u. Suppose u - 1/5*s**2 - 2/5*s = 0. What is s?
-2, 0
Let g(c) = c**3 - 10*c**2 + c - 10. Let x be g(10). Let i(v) be the third derivative of -1/132*v**4 + v**2 + 0*v**3 + x + 1/330*v**5 + 0*v. Factor i(y).
2*y*(y - 1)/11
Let k(a) = -11*a - 114. Let f be k(-12). Let h be 2 + (-33)/f - (-4)/(-24). Factor 0 - 1/2*d**5 - 1/2*d + d**3 + 0*d**4 + h*d**2.
-d*(d - 1)**2*(d + 1)**2/2
Let d be ((-2)/4)/((-7)/252). Factor -d*u + 3*u**3 + 8*u - 3*u**2 + 11*u - u**4.
-u*(u - 1)**3
Let j(i) be the third derivative of -i**7/84 - 23*i**6/80 - 37*i**5/40 - 35*i**4/48 + i**3 + 58*i**2. Find c such that j(c) = 0.
-12, -1, 1/5
Suppose -w + 25 = -2*g, 3*g + 4*w = -0*g - 10. Let k = 18 + g. Solve -k + 7 + 8 - 3*o + 63*o**3 - 39*o**2 - 1 - 27*o**4 = 0.
-1/3, 2/3, 1
Let j be (-102)/(-30) + 2/(-5). Factor 12*c**2 + 3*c**4 + 3*c - 15*c**2 + 2*c**j - 5*c**3.
3*c*(c - 1)**2*(c + 1)
Suppose 14 = 9*u - 4. Let m(f) = -f**4 - 3*f. Let q(l) = -l**4 - 2*l. Let g(a) = u*m(a) - 3*q(a). What is x in g(x) = 0?
0
Let i(s) be the first derivative of 0*s**2 - 41 + 0*s + 2/85*s**5 - 1/17*s**4 + 0*s**3. Solve i(x) = 0 for x.
0, 2
Let v(d) be the third derivative of -d**6/3 - 35*d**5/12 - 15*d**4/2 - 15*d**3/2 - 178*d**2. Solve v(b) = 0 for b.
-3, -1, -3/8
Suppose 0 = 31*x + 6*x. Solve -1/10*d**3 + 1/10*d**2 + x + 1/10*d - 1/10*d**4 = 0.
-1, 0, 1
Let -30/7*t**2 - 51/7*t - 3/7*t**3 - 24/7 = 0. Calculate t.
-8, -1
Let j(i) be the second derivative of -2*i**6/15 + 8*i**4/3 - 32*i**2 - 282*i - 2. Let j(y) = 0. Calculate y.
-2, 2
Let k(o) be the first derivative of o**4/20 - 3*o**3/5 + 3*o**2/5 + 16*o/5 - 455. Suppose k(g) = 0. Calculate g.
-1, 2, 8
Suppose 7*t - 3*q - 10179 = 62376, 10375 = t + q. Factor 1296*g**2 - 72*g**3 - t*g + 31104 + 3/2*g**4.
3*(g - 12)**4/2
Factor -2/5*z**2 + 0 - 104/5*z.
-2*z*(z + 52)/5
Let n(m) be the first derivative of -3/13*m**2 - 2/39*m**3 + 29 + 0*m. Factor n(p).
-2*p*(p + 3)/13
Let l(f) be the second derivative of -f**5/60 - 5*f**4/18 - 2*f**3/3 + 12*f**2 - 44*f. Let l(c) = 0. What is c?
-6, 2
Let k(f) be the second derivative of -5*f + 5/42*f**7 - 1/2*f**5 + 5/6*f**3 + 0 + 0*f**6 + 0*f**2 + 0*f**4. Find u such that k(u) = 0.
-1, 0, 1
Let l = 10659/10 + -5327/5. Let -5/2 + l*d**2 + 19/4*d = 0. Calculate d.
-10, 1/2
Suppose -84*c - 3*c + 262 = 1. Let -5/3 - 34295/3*i**c - 95*i - 1805*i**2 = 0. Calculate i.
-1/19
Let j(q) be the second derivative of q**6/75 -