= 0 for b.
-2, 1
Let k(q) be the first derivative of -q**3 + 195*q**2 - 12675*q - 38. What is o in k(o) = 0?
65
Let q(g) be the second derivative of -4*g**6/45 + 11*g**5/6 - 19*g**4/9 - 13*g**3/9 - 43*g - 3. Suppose q(l) = 0. What is l?
-1/4, 0, 1, 13
Let h(q) be the second derivative of 3*q**5/140 - q**4/2 + 13*q**3/14 + 48*q. Determine r, given that h(r) = 0.
0, 1, 13
Let q(n) be the first derivative of 3/16*n**4 - 1/24*n**6 + 0*n + 1/4*n**2 - 11 - 5/12*n**3 + 1/20*n**5. Find z, given that q(z) = 0.
-2, 0, 1
Let n(x) be the second derivative of -2/5*x**5 - 2/3*x**4 + 6*x - 2/21*x**7 - 2*x**2 + 2/5*x**6 + 2*x**3 + 0. Find q such that n(q) = 0.
-1, 1
Let g(w) be the second derivative of -w**6/60 - 3*w**5/40 + 7*w**4/24 + 5*w**3/4 - 9*w**2/2 - 91*w. Factor g(p).
-(p - 2)*(p - 1)*(p + 3)**2/2
Let 8/7 + 1/7*g**3 - 8/7*g**2 - 1/7*g = 0. What is g?
-1, 1, 8
Let t(x) be the first derivative of -x**6/18 + 7*x**5/30 + 7*x**4/4 - 73*x**3/18 + x**2/6 + 4*x + 151. Determine c, given that t(c) = 0.
-4, -1/2, 1, 6
Factor f**3 - 27*f + 14*f**5 + 27*f - 13*f**5 - 2*f**4.
f**3*(f - 1)**2
Let j(v) = -3*v - 17. Suppose -4*m + 4*w = 23 - 7, w = 4*m + 25. Let p be j(m). Factor 8*g**2 + 7*g**4 - 5*g**2 - 4*g**p + 9*g**3 + 6*g**2 + 3*g.
3*g*(g + 1)**3
Let i(s) be the second derivative of s**4/30 - 7*s**3/3 + 70*s + 1. Factor i(r).
2*r*(r - 35)/5
Suppose 5*z + i = 1, -57*z - 3 = -55*z - 3*i. Factor z*w + 2/7*w**2 - 18/7.
2*(w - 3)*(w + 3)/7
Let k be 9/4 + (-2)/8. Factor 7*r**k - 2*r**2 + 2 - 10*r + 3.
5*(r - 1)**2
Let h(g) be the third derivative of 0*g**3 - 1/1155*g**7 + 0*g**5 + 0*g - 1/660*g**6 + 0 + 14*g**2 + 0*g**4. Factor h(d).
-2*d**3*(d + 1)/11
Let c(s) be the second derivative of -s**2 - 13/21*s**3 + 0 + 1/21*s**4 - 37*s. Determine y so that c(y) = 0.
-1/2, 7
Suppose -46*m = 153*m - 398. Let f**2 + 7/3*f - m = 0. Calculate f.
-3, 2/3
Let j(d) = 3*d**2 - 3*d - 6. Let l be j(2). Let t(g) be the first derivative of l*g**2 + 0*g + 1/18*g**4 + 2/27*g**3 - 4. Factor t(z).
2*z**2*(z + 1)/9
Suppose 30*b = 41*b - 33. Let g(s) be the second derivative of -1/36*s**b - 1/6*s**2 + 1/72*s**4 + 0 - 5*s. Find x, given that g(x) = 0.
-1, 2
Suppose -d - 6 + 54 = 0. Let k = 54 - d. Suppose -3*v**2 - 4 - 1/2*v**3 - k*v = 0. Calculate v.
-2
Let m(j) be the third derivative of -j**10/50400 + j**8/6720 - j**5/5 - 25*j**2. Let t(v) be the third derivative of m(v). Let t(l) = 0. Calculate l.
-1, 0, 1
Let g = -122 - -120. Let s be (g/(-3) + -1)/(-41 + 40). Factor -1/6*v**4 + 1/3*v + 1/6*v**2 + 0 - s*v**3.
-v*(v - 1)*(v + 1)*(v + 2)/6
Let d be ((-20)/(-35) + (-948)/1512)/(6/(-24)). Factor d*o**3 + 2/9*o**2 - 4/9*o + 0.
2*o*(o - 1)*(o + 2)/9
Let b = 10678 + -10678. Factor b + 10/11*d + 2/11*d**2.
2*d*(d + 5)/11
Let d be (6/4)/((-7)/((-252)/27)). Solve 2/9*r**d + 0 - 4/9*r = 0 for r.
0, 2
Suppose 672 + 6281*l**2 + 6285*l**2 + 330*l - 12569*l**2 = 0. Calculate l.
-2, 112
Let c be (-1)/(-5)*(-3)/27*-39. Let m(r) be the second derivative of 1/3*r**3 + 3/2*r**5 + 0 + 0*r**2 + 4/21*r**7 - 7/6*r**4 - c*r**6 + 4*r. Factor m(a).
2*a*(a - 1)**3*(4*a - 1)
Let k be (2 - 1)/(374/(-68)) + (-152)/(-110). Factor -k*j**2 - 4/5*j + 0 - 2/5*j**3.
-2*j*(j + 1)*(j + 2)/5
Let o(k) be the second derivative of -7*k**6/450 + 11*k**5/50 + k**4/3 + 2*k**3/3 + 6*k. Let p(h) be the second derivative of o(h). Factor p(x).
-4*(x - 5)*(7*x + 2)/5
Let j(c) be the second derivative of -c**6/225 - c**5/75 - 3*c - 31. Determine k, given that j(k) = 0.
-2, 0
Let v(z) = 2*z**2 - 6*z + 2. Let n be v(3). Factor 4*m**3 + 4*m**2 + n*m - m**4 + 2*m**4 - 3*m**4 - 2*m**5 - 4*m - 2.
-2*(m - 1)**2*(m + 1)**3
Factor -1/4*w**4 + 0*w + 0 + 15/4*w**3 - 13/2*w**2.
-w**2*(w - 13)*(w - 2)/4
Let l(p) = -p**2 - 7*p + 6. Let b be l(-7). Suppose 3 = -3*j + b. Determine m so that -3*m**2 + j + 0*m + 2 - 4 - 4*m = 0.
-1, -1/3
Let z(p) be the first derivative of p**4/5 + 17*p**3/15 + 2*p**2 + 4*p/5 + 11. Let z(f) = 0. What is f?
-2, -1/4
Let j be (-3 - (-15)/4)*4. Suppose -9 - 3 + 4*o**j + 28*o - 30*o**2 + 10*o**2 = 0. Calculate o.
1, 3
Determine q, given that -42*q**2 + 147*q**2 - 15*q**4 - 10*q**4 + 100*q + 20*q**4 = 0.
-4, -1, 0, 5
Let f(a) = a**4 + 3*a. Let x(o) = -o**5 + 4*o**4 - 9*o. Let z(u) = -3*f(u) - x(u). Factor z(r).
r**4*(r - 7)
Let f(d) be the first derivative of -1/40*d**5 + 7*d + 1/12*d**4 - 8 - 1/12*d**3 + 0*d**2. Let o(u) be the first derivative of f(u). Factor o(l).
-l*(l - 1)**2/2
Let r(n) be the first derivative of -5*n**6/4 + 21*n**5/10 + 3*n**4 - 2*n**3 + 53. What is z in r(z) = 0?
-1, 0, 2/5, 2
Factor -2/11*m**2 + 34/11*m + 76/11.
-2*(m - 19)*(m + 2)/11
Let a(z) be the first derivative of -z**6/6 + z**5/15 + 395. Determine g so that a(g) = 0.
0, 1/3
Let l be (36/(-60))/(9/(-30)). Let o(i) be the first derivative of 4/51*i**3 + 6/85*i**5 + 7/34*i**4 + 0*i**l - 7 + 0*i. Factor o(b).
2*b**2*(b + 2)*(3*b + 1)/17
Let d(m) be the third derivative of -m**5/150 - 4*m**4/3 - 320*m**3/3 - 12*m**2 + 2. Find a, given that d(a) = 0.
-40
Let t(p) = -4*p**4 + 21*p**3 - 85*p**2 + 126*p - 70. Let c(z) = -7*z**4 + 42*z**3 - 171*z**2 + 254*z - 138. Let l(d) = -3*c(d) + 5*t(d). Factor l(m).
(m - 16)*(m - 2)**2*(m - 1)
Let n(b) be the first derivative of -2/15*b**3 - 1/10*b**4 + 0*b + 1/5*b**2 + 5 + 2/25*b**5. Factor n(w).
2*w*(w - 1)**2*(w + 1)/5
Let p(s) be the second derivative of -3/10*s**3 - 1/20*s**4 + 0 + 0*s**2 + 20*s. Factor p(a).
-3*a*(a + 3)/5
Suppose 71*c + 106*c + 210 = 212*c. Suppose 3*j**4 - 3*j**3 + 3 + 3/2*j + 3/2*j**5 - c*j**2 = 0. What is j?
-2, -1, 1
Let n(z) be the second derivative of z**6/200 + 3*z**5/100 + z**4/20 - 15*z**2/2 - 5*z. Let d(w) be the first derivative of n(w). Factor d(m).
3*m*(m + 1)*(m + 2)/5
Find t such that -1/6*t**5 - 2*t**4 - 8*t**3 - 32/3*t**2 + 0*t + 0 = 0.
-4, 0
Let n(y) = -y + 18. Let x be n(8). Factor -80*h**3 + 25*h**4 + 65*h**2 + 100 - x*h - 100.
5*h*(h - 2)*(h - 1)*(5*h - 1)
Let j(i) be the first derivative of -3/2*i**4 + 4 + 3*i**3 - 3/5*i**5 + 12*i + 12*i**2. Factor j(l).
-3*(l - 2)*(l + 1)**2*(l + 2)
Let s(f) be the first derivative of 0*f - 3/20*f**4 + 9 + 3/10*f**2 + 1/5*f**3 - 3/25*f**5. Solve s(o) = 0.
-1, 0, 1
Let u(z) be the second derivative of -1/5*z**4 + 0 + 0*z**2 + 9*z - 2/25*z**6 + 9/50*z**5 + 1/10*z**3 + 1/70*z**7. Suppose u(g) = 0. What is g?
0, 1
Let p(y) be the third derivative of 1/280*y**7 + 0*y**5 + 0*y - 2*y**2 + 3/160*y**6 - 9 - 1/8*y**4 + 0*y**3. Factor p(c).
3*c*(c - 1)*(c + 2)**2/4
Let b(g) be the first derivative of 2*g + 4*g**3 + 2*g**4 - 12 + 2/5*g**5 + 4*g**2. Find r such that b(r) = 0.
-1
Let r(i) be the first derivative of -i**6/16 - i**5/20 + 3*i**4/16 + i**3/6 - 3*i**2/16 - i/4 - 1. Determine a so that r(a) = 0.
-1, -2/3, 1
Let p(t) = 6*t + 50. Let i be p(-8). Let j(c) be the second derivative of 4*c - 9/20*c**5 + 1/2*c**4 + 0*c**3 + 0*c**i + 0. Factor j(a).
-3*a**2*(3*a - 2)
Suppose 4*z - 3*d = 61, -3*z + 3*d = -57 + 6. Find w, given that 62/7*w**2 + z*w**3 - 16/7*w - 8/7 = 0.
-1, -2/7, 2/5
Factor -23*k**2 - 25/2 - 30*k - 1/2*k**4 - 6*k**3.
-(k + 1)**2*(k + 5)**2/2
Let a(m) be the first derivative of -3/10*m**4 - 9/25*m**5 + 3/10*m**2 + 6/5*m**3 + 40 + 1/10*m**6 - 9/5*m. Let a(z) = 0. What is z?
-1, 1, 3
Let y(i) be the first derivative of -18 - 5/6*i**2 + 10/9*i**3 - 10/3*i + 5/12*i**4. Let y(s) = 0. What is s?
-2, -1, 1
Let t(s) be the first derivative of 2/13*s - 1/13*s**4 + 1/13*s**2 - 3 - 4/39*s**3 + 1/39*s**6 + 2/65*s**5. Factor t(r).
2*(r - 1)**2*(r + 1)**3/13
Let p = 913/36 + -101/4. Let w(q) be the second derivative of 1/54*q**4 - p*q**3 + 0 + 2/9*q**2 + 3*q. Factor w(h).
2*(h - 2)*(h - 1)/9
Let d(b) be the second derivative of b**4/54 + 5*b**3/9 - 95*b. Factor d(g).
2*g*(g + 15)/9
Let z = 1/452 - -901/1356. Solve 8/9*k**2 - z*k**5 - 4/9 + 4/3*k**3 - 4/9*k**4 - 2/3*k = 0.
-1, -2/3, 1
Factor 2*l**2 - 32*l + 44*l + 3*l - 78 + 61*l.
2*(l - 1)*(l + 39)
Factor 54*i - 72*i**2 - 8*i**4 + 0 + 36*i**3 + 2/3*i**5.
2*i*(i - 3)**4/3
Let m(q) be the first derivative of -3*q**4/4 + 3*q**2/2 + 56. Factor m(j).
-3*j*(j - 1)*(j + 1)
Factor -8*t + 101*t + 2*t**2 + 39*t - 12*t.
2*t*(t + 60)
Let l = -41 + 17. Let q = -118/5 - l. Find u, given that -q*u - 1/5 - 1/5*u**2 = 0.
-1
Suppose -4*m = -8*m + 12. Let r(t) = -t**2 + 2*t + 6. Let w be r(m). Factor -4/13*h**