(h) be the first derivative of -h**4/14 + 2*h**3/21 + 2*h**2/7 + 2. Suppose r(f) = 0. What is f?
-1, 0, 2
Suppose -o - r + 4 = 0, -o + 3*r - 5*r + 6 = 0. Factor o*l**5 + l**3 - 6*l**5 + l**3 + 2*l**5.
-2*l**3*(l - 1)*(l + 1)
Factor 2/3*b**4 - 1/3*b + 1/3*b**5 - 2/3*b**2 + 0 + 0*b**3.
b*(b - 1)*(b + 1)**3/3
Let l be ((-2)/45*-2)/((-4)/(-6)). Let t(k) be the first derivative of -2 + 0*k - 2/5*k**2 + l*k**3. Factor t(x).
2*x*(x - 2)/5
Let x be (14/(-4))/((-1)/2). Suppose 4*a - 16 = 0, 9*d - 2*a = 4*d + x. Factor 0 + 0*i**2 + 2/7*i**4 - 2/7*i**d + 0*i.
2*i**3*(i - 1)/7
Let x = 108 - 42. Solve 2*w**2 + 66*w - w**2 - 2*w**3 + w**4 - x*w = 0.
0, 1
Let f(j) be the first derivative of j**3 - 3*j**2 + 3*j + 5. Suppose f(s) = 0. What is s?
1
Let b(m) be the first derivative of -m**2/2 + 8*m - 5. Let o be b(6). Solve -2/7*u**o + 0*u + 0 - 2/7*u**3 = 0 for u.
-1, 0
Factor -2158*f**4 - 2*f - 6*f**3 - 3*f**5 + 2*f + 2149*f**4.
-3*f**3*(f + 1)*(f + 2)
Let j be (-14 - -13)/((-2)/14). Let i be (2/(-7))/((-9)/j). Solve i*c**2 + 0*c - 2/9 = 0 for c.
-1, 1
Let q(h) be the first derivative of -3*h**4/4 + 6*h**3 - 18*h**2 + 24*h + 73. Factor q(c).
-3*(c - 2)**3
Factor 15*u**2 - 71*u**4 - 12*u**3 - 7*u + u + 0*u + 74*u**4.
3*u*(u - 2)*(u - 1)**2
Let n be (2/(-2))/4 + 42/8. Let q(d) be the second derivative of 3*d + 1/75*d**6 + 1/15*d**3 - 1/10*d**4 + 2/5*d**2 - 1/50*d**n + 0. Find c such that q(c) = 0.
-1, 1, 2
Let p(i) be the second derivative of 2*i**7/189 + 2*i**6/135 - i**5/9 - 5*i**4/27 + 8*i**3/27 + 8*i**2/9 + 47*i. Determine n so that p(n) = 0.
-2, -1, 1, 2
Let u = -355 - -357. Let 2/3*k**u - 1/3 - 1/3*k = 0. What is k?
-1/2, 1
Let k be 35/18 + 4/(-9). Solve -6*n - k*n**2 + 6 + 3/2*n**3 = 0 for n.
-2, 1, 2
Factor -1/3*d + 1/3 - 2/3*d**3 - 2*d**2 + 5/3*d**4 + d**5.
(d - 1)*(d + 1)**3*(3*d - 1)/3
Let k = 10 - 10. Let n(h) be the second derivative of 0*h**2 + 0*h**3 - 1/80*h**5 + h + k + 1/24*h**4. Find q such that n(q) = 0.
0, 2
Factor -1/6*n**2 + 1/3*n - 1/6.
-(n - 1)**2/6
Let u(c) be the third derivative of c**9/10584 + c**8/2940 + c**7/2940 - 2*c**3/3 - 2*c**2. Let z(t) be the first derivative of u(t). Let z(g) = 0. Calculate g.
-1, 0
Let h = 12 + -15. Let g be (-10)/28*(-1 + h). Factor -4/7*f + 0 - 8/7*f**3 + 2/7*f**4 + g*f**2.
2*f*(f - 2)*(f - 1)**2/7
Let f(x) be the second derivative of -x**5/50 - x**4/15 - x**3/15 + 3*x. Determine q so that f(q) = 0.
-1, 0
Let g be (12/9)/(2/6). Suppose 8 = c + 3*c. Factor -10*o + o**2 + g*o**2 - 4 + 10*o**3 - o**c.
2*(o - 1)*(o + 1)*(5*o + 2)
Let t(s) = -s**3 + 5*s**2 - 4*s + 3. Let y be t(4). Suppose 9*j = y*j + 24. Factor 0*q**2 + 6/5*q**5 + j*q**4 - 4/5 + 4*q**3 - 2*q.
2*(q + 1)**4*(3*q - 2)/5
Let w be -5 - (-2 - 2) - 30/(-14). Factor -2/7*o**2 - w*o - 8/7.
-2*(o + 2)**2/7
Let b(p) = 79*p**2 - 41*p + 10. Let l(i) = -78*i**2 + 42*i - 9. Let y(t) = -3*b(t) - 4*l(t). Solve y(c) = 0.
1/5, 2/5
Let w(v) be the third derivative of v**7/3150 + v**6/450 + 3*v**4/8 - 6*v**2. Let k(p) be the second derivative of w(p). Determine r, given that k(r) = 0.
-2, 0
Let l(i) be the third derivative of -i**9/1512 + i**8/420 - i**6/90 + i**5/60 + 5*i**3/6 - 2*i**2. Let h(n) be the first derivative of l(n). Factor h(q).
-2*q*(q - 1)**3*(q + 1)
Let r(i) = -i**3 - 5*i**2 + 5*i - 4. Let t be r(-6). Factor -14 - 4*d + 2*d**3 - t*d**2 + 14.
2*d*(d - 2)*(d + 1)
Suppose 5*b = -2*f + 8, f - 4 = -2*b + 5*b. Factor 0 + 0*h + 1/3*h**2 + 1/3*h**f + 2/3*h**3.
h**2*(h + 1)**2/3
Let n(j) be the third derivative of -j**5/20 - 3*j**4/4 - 5*j**3/2 - 11*j**2. Find l such that n(l) = 0.
-5, -1
Suppose -2*k = -5*k + 6. Let z(g) be the third derivative of -1/12*g**5 - k*g**2 + 1/40*g**6 + 0*g + 0 + 1/12*g**4 + 0*g**3. Factor z(p).
p*(p - 1)*(3*p - 2)
Find z, given that 10/3*z**2 + 8/3 + 16/3*z + 2/3*z**3 = 0.
-2, -1
Let k(o) be the third derivative of o**9/1512 + o**8/420 + o**7/420 + 5*o**3/6 + 4*o**2. Let c(t) be the first derivative of k(t). Factor c(x).
2*x**3*(x + 1)**2
Let z = 6 + -3. Suppose -4 + 1 = -4*l - z*j, 3 = 2*l + j. Factor l*m**2 + 0*m**2 - 4*m**2.
-m**2
Factor -51 - 84*v - 15*v**2 + 31 - v**2.
-4*(v + 5)*(4*v + 1)
Let a = 9/7 - 53/63. Factor -a + 2/3*d - 2/9*d**2.
-2*(d - 2)*(d - 1)/9
Let s be -6*3*(-4 + 141/36). Let x be ((-3)/2)/(12/(-16)). Solve -3/4 + s*u - 3/2*u**3 + 0*u**x + 3/4*u**4 = 0.
-1, 1
Suppose q - 2 = -0*q. Factor -12*s**q + 3*s + 12*s**2 - 6*s**2 + 3*s**3.
3*s*(s - 1)**2
Factor 0*c**3 - 3*c + 2*c + c**3.
c*(c - 1)*(c + 1)
Let s(i) be the second derivative of -1/6*i**4 + i - 5/9*i**3 + 0 - 2/3*i**2. Factor s(r).
-2*(r + 1)*(3*r + 2)/3
Let z = 1598/1985 + -2/397. Factor -2/5*j**3 + 2/5*j - z*j**2 + 4/5.
-2*(j - 1)*(j + 1)*(j + 2)/5
Let k(q) = -q**2 - 2. Let l(f) = -2 + f**2 + 1 + 5*f - 5*f. Let w(t) = k(t) - 2*l(t). Factor w(x).
-3*x**2
Let t(o) = -5*o**3 + 89*o**2 - 319*o - 405. Let h(q) = -15*q**3 + 266*q**2 - 956*q - 1215. Let l(p) = -4*h(p) + 11*t(p). Factor l(r).
5*(r - 9)**2*(r + 1)
Factor -3*h - 11/4 - 1/4*h**2.
-(h + 1)*(h + 11)/4
What is b in 24*b**4 + 2*b**3 - 8*b**5 - 16*b**4 - 4*b**3 = 0?
0, 1/2
Let n = 51 + -151/3. Let k(d) = d**3 + 4*d**2 + 3*d. Let b be k(-3). Determine p so that b - 2/3*p**3 - 2/3*p**4 + n*p + 2/3*p**2 = 0.
-1, 0, 1
Let o(f) be the second derivative of -f**7/4200 + f**5/200 - f**4/12 - 3*f. Let h(v) be the third derivative of o(v). Find m such that h(m) = 0.
-1, 1
Let i(w) be the third derivative of -w**6/240 - w**5/24 + 9*w**2. Factor i(o).
-o**2*(o + 5)/2
Let d be 16/12*(-45)/(-20). Suppose -19 = -5*k + t, d*t - t = 2*k - 14. Let -2*q**4 + 0 + 2*q**2 - 4/5*q + 4/5*q**k = 0. Calculate q.
-1, 0, 2/5, 1
Let v be ((-1)/(-2))/((-21)/(-12)). Let t(f) be the first derivative of 2 - v*f**3 + 0*f + 1/7*f**2 + 1/7*f**4. Factor t(q).
2*q*(q - 1)*(2*q - 1)/7
Factor 0 + 0*b + 2/3*b**3 + b**4 + 0*b**2 - 5/3*b**5.
-b**3*(b - 1)*(5*b + 2)/3
Let d(n) be the second derivative of -n**6/120 + n**5/10 - 11*n**4/24 + n**3 - 9*n**2/8 + 16*n. Determine w so that d(w) = 0.
1, 3
Let w(s) be the third derivative of s**8/448 - s**7/280 + 11*s**2. Find o such that w(o) = 0.
0, 1
Let o(z) be the third derivative of -z**6/600 + z**5/300 + z**4/120 - z**3/30 - 7*z**2. Factor o(h).
-(h - 1)**2*(h + 1)/5
Let t(d) = -d. Let o(q) = -3*q**2 + 30*q - 12. Let m(s) = o(s) + 18*t(s). Suppose m(y) = 0. What is y?
2
Let y(g) = 2*g + 14. Let q be y(-6). Solve 0 + 2/7*h**q - 2/7*h = 0.
0, 1
Let u(c) = c - 14. Let y be (-156)/(-11) + (-10)/55. Let l be u(y). Solve -2/3 + 4/3*a - 4/3*a**3 + 2/3*a**4 + l*a**2 = 0 for a.
-1, 1
Let w(h) be the second derivative of h**6/150 + h**5/50 - h**3/15 + h**2/2 + h. Let y(z) be the first derivative of w(z). What is a in y(a) = 0?
-1, 1/2
Let p(o) be the second derivative of -o**5/120 + 11*o**4/72 - 35*o**3/36 + 25*o**2/12 + 2*o - 2. Factor p(y).
-(y - 5)**2*(y - 1)/6
Let z(h) = 69*h**2 + 3*h + 9. Let s be z(4). What is m in -1300*m**3 - 680*m**2 - 168*m - 16 - s*m**4 - 625/2*m**5 = 0?
-2, -2/5
Let o(w) = -3*w**2 - 5*w - 7. Let i(j) = j**2 + j + 1. Let g(n) = 5*i(n) + o(n). Let g(c) = 0. What is c?
-1, 1
What is k in -2/11*k**3 + 0 + 6/11*k**2 + 0*k = 0?
0, 3
Factor 13*r + 16*r**2 + 3*r**4 - 7*r**2 + 3 - 12*r**3 + 9*r**2 - 25*r.
3*(r - 1)**4
Let r be -3 + (2 - (3 + -17)). Factor 10 + 6 - r - 15*b + 12*b**2.
3*(b - 1)*(4*b - 1)
Let t(y) = -3*y**4 + 4*y**3 + 6*y**2 + 4*y - 3. Let w(s) = -4*s**4 + 4*s**3 + 6*s**2 + 4*s - 4. Let f(v) = 5*t(v) - 4*w(v). Factor f(a).
(a + 1)**4
Suppose -105 = -3*d + 3*q, 2*q + 7 = 1. Let c be (d/10 + -3)*2. Find r, given that -2/5*r**4 + 0 + 0*r**2 + 0*r**3 - c*r**5 + 0*r = 0.
-1, 0
Let s(k) be the second derivative of -1/24*k**4 + 3*k - 1/12*k**3 + 1/2*k**2 + 0. Factor s(r).
-(r - 1)*(r + 2)/2
Let w(f) be the first derivative of f - 1/10*f**5 - 1/3*f**3 + 1/3*f**4 - 1 + 0*f**2. Let a(t) be the first derivative of w(t). Find n, given that a(n) = 0.
0, 1
Let h = -20 - -101/5. Factor -1/5*i + 1/5 - h*i**2 + 1/5*i**3.
(i - 1)**2*(i + 1)/5
Factor 1/4*t**4 + 0 - 1/2*t - t**3 + 5/4*t**2.
t*(t - 2)*(t - 1)**2/4
Let q be (1*4)/(3 + -1). Factor -6*w**q - w**4 - 4*w**3 + 3*w**4 + 0*w**4.
2*w**2*(w - 3)*(w + 1)
Let v = -119 + 835/7. Let z(c) be the first derivative of -3 + 0*c**2 - 8/7*c + v*c**3 - 1/14*c**4. Factor z(x).
-2*(x - 2)**2*(x + 1)/7
What is g in 8 - 4*g**2 + 10*g - g**2 + 