 third derivative of b**5/120 + b**4/16 - b**3/3 - 8*b**2. What is c in q(c) = 0?
-4, 1
Let b(g) = -g**3 - 17*g**2 - 15*g + 19. Let o be b(-16). Factor -15*i + 5*i**2 - 12 - 2*i**2 - o*i**2 - 3*i**2.
-3*(i + 1)*(i + 4)
Let f be (-14 - -13)*(-1 - 4). Suppose 5*k + f = -5*d, 3*k + 2*k = d - 17. Factor -2/3*s + 4/3*s**d - 2/3*s**3 + 0.
-2*s*(s - 1)**2/3
Let s(r) = 6*r**4 + 0 - 4 + 17*r**2 - r**4 - 9*r + 0 - 9*r**3. Let c(a) = -6*a - a - 2*a**3 + 4*a**2 + a**4 + 5*a - 1. Let h(y) = 18*c(y) - 4*s(y). Factor h(d).
-2*(d - 1)**2*(d + 1)**2
Let s be 0*(-3)/(12/2). Let z be s/(0 + 1) + 0. Find l such that z*l + 3 - 2*l**2 + 2*l + 1 = 0.
-1, 2
Let a = -20 + 25. Suppose -b + 5*h - 17 = -2*b, b - a*h + 13 = 0. Factor -b*y**4 + 0*y**2 - 4/3*y**3 + 10/3*y**5 + 0*y + 0.
2*y**3*(y - 1)*(5*y + 2)/3
Let m(a) be the third derivative of 0*a**4 + 0*a + 0*a**3 + 0 - 1/840*a**7 + 1/240*a**5 + 0*a**6 + 4*a**2. Solve m(l) = 0 for l.
-1, 0, 1
Let l be -2*1/2 + 3. Suppose -l*f + 6 = 3*f + 3*w, 10 = 5*w. Factor f*z + z**2 + 0 - 3/2*z**3.
-z**2*(3*z - 2)/2
Let y(f) = -f**2 + 3*f - 2*f + 1 - 2*f. Let d be -2 + 1*(-24)/(-3). Let t(a) = -8*a**2 - 2*a + 4. Let b(w) = d*y(w) - t(w). Determine s so that b(s) = 0.
1
Let a(t) be the second derivative of -9*t**5/20 + t**4/2 + 7*t**3/2 + 3*t**2 + 8*t. Let a(d) = 0. Calculate d.
-1, -1/3, 2
Factor 0*l - 1/2*l**2 - 18*l**5 + 0 - 5*l**3 - 33/2*l**4.
-l**2*(3*l + 1)**2*(4*l + 1)/2
Let s(j) be the first derivative of j**9/15120 + j**8/8400 - j**3 + 4. Let i(g) be the third derivative of s(g). Find z, given that i(z) = 0.
-1, 0
Suppose 3*y = 2*r + 32, -2*y = 2*r - 6*r - 64. Let d be ((-14)/(-84))/((-1)/r). Factor -d - 98/3*i**4 - 218/3*i**2 - 24*i - 84*i**3.
-2*(i + 1)**2*(7*i + 2)**2/3
Suppose 3 = i, 0 = -3*q - 3*i + 5*i - 3. Suppose 5*o - 9 = 11. Factor q - w**o + w**3 - 1.
-w**3*(w - 1)
Let y(w) be the second derivative of w**5/40 + w**4/8 + w**3/6 + 17*w. Factor y(h).
h*(h + 1)*(h + 2)/2
Let o(y) be the third derivative of y**5/12 - 5*y**4/12 + 5*y**3/6 + 13*y**2. What is k in o(k) = 0?
1
Let r(n) be the second derivative of -n**6/120 - n**5/30 - n**4/24 + n**2/2 + 3*n. Let b(q) be the first derivative of r(q). Solve b(m) = 0.
-1, 0
Let d(z) be the second derivative of -1/30*z**6 - 1/3*z**3 + 1/10*z**5 + 0 + z + 0*z**2 + 1/12*z**4. Solve d(q) = 0 for q.
-1, 0, 1, 2
Let c be (6/8)/((-189)/(-144)). Let h(b) be the second derivative of 1/7*b**4 + 0 + 8/7*b**2 - 3*b + c*b**3 + 1/70*b**5. Let h(m) = 0. Calculate m.
-2
Let d = 8 + -8. Let t(c) be the first derivative of 0*c**2 + 0*c**3 + 5/3*c**6 + 2 + 14/5*c**5 + d*c + c**4. Find a such that t(a) = 0.
-1, -2/5, 0
Let t(i) = i + 2. Let b be t(0). Suppose b*f = -0*f. Find c, given that c**2 - 4*c**2 + c + 2*c**2 + f*c**2 = 0.
0, 1
Let g be 1/(-5) + 7/35. Factor -q + g*q + 2*q**2 + q.
2*q**2
Suppose 0 = -3*f + 4 + 2. Let n = 78 - 75. Factor 1/2*d**f - 1/4 + 0*d - 1/4*d**4 + 0*d**n.
-(d - 1)**2*(d + 1)**2/4
Suppose -2/9*a**2 + 0 + 0*a - 2/9*a**5 + 2/9*a**3 + 2/9*a**4 = 0. What is a?
-1, 0, 1
Let l(j) be the second derivative of 3/2*j**2 - 5*j + 3/20*j**5 + 3/4*j**4 + 3/2*j**3 + 0. Find v such that l(v) = 0.
-1
Let t(r) be the second derivative of 2*r + r**2 - 1/30*r**5 + 0 - 1/3*r**4 - 4/3*r**3. Let m(c) be the first derivative of t(c). What is i in m(i) = 0?
-2
Let d(n) be the third derivative of -3*n**2 + 0*n + 1/108*n**4 + 1/27*n**3 + 0 - 1/540*n**6 - 1/270*n**5. Determine o so that d(o) = 0.
-1, 1
Let f(h) = -3*h**3 - h**2 - 6*h - 6. Let s be f(-1). Let -4/13 - 2/13*u + 2/13*u**s = 0. What is u?
-1, 2
Let q be 180/42 - (-2)/(-7). Find u, given that -u**4 - u**4 + 6*u**2 + 3*u**5 - q*u**4 - 3*u = 0.
-1, 0, 1
Suppose -2*d = -3*c + 32, c + 4 = -0*c. Let k be (-2)/(-11) + (-106)/d. Factor 0*x - 7/4*x**4 - 1/2*x**3 - 5/4*x**k + 0*x**2 + 0.
-x**3*(x + 1)*(5*x + 2)/4
Let o(x) be the first derivative of 2 + x**2 + 0*x**3 + 0*x**4 - 1/180*x**5 + 0*x. Let h(a) be the second derivative of o(a). Suppose h(i) = 0. What is i?
0
Suppose 5*l - 4 = 4*l. Let b = l + -2. Factor 4*p**b + 0 - 2*p + 0 - 4 + 2*p**3.
2*(p - 1)*(p + 1)*(p + 2)
Suppose -8/7 - 76/7*b**3 + 4*b**4 - 4/7*b + 60/7*b**2 = 0. Calculate b.
-2/7, 1
Let n(f) = -f**3 + f. Let c(m) = 2*m**3 - 8*m**2 - 19*m. Let i(k) = -4*c(k) - 12*n(k). Find v, given that i(v) = 0.
-4, 0
Let q = -3/38 + 173/1710. Let y(p) be the second derivative of 1/9*p**2 + 0 + q*p**6 - 2/27*p**3 + 1/45*p**5 - 2/27*p**4 + p. Solve y(o) = 0 for o.
-1, 1/3, 1
Let t(l) be the second derivative of 3*l**5/20 - 3*l**3/2 + 3*l**2 + 4*l. Suppose t(h) = 0. What is h?
-2, 1
Let p(i) be the first derivative of 3*i**5/35 - 3*i**4/28 - 32. Factor p(w).
3*w**3*(w - 1)/7
Let b(h) be the second derivative of h**9/60480 - h**8/13440 + h**6/1440 - h**5/480 - h**4/2 + 6*h. Let q(j) be the third derivative of b(j). Solve q(s) = 0.
-1, 1
Let t be 2 + -1 + (-2)/(-1). Factor -t*i + 2*i**2 + 0*i**4 - 2*i**4 + 5*i - 2*i**3 + 0*i**3.
-2*i*(i - 1)*(i + 1)**2
Let f = 4 - 2. Find n, given that 2 + 0 + f*n**2 + n + 0*n**2 - 5*n = 0.
1
Suppose 3*o = o - 20. Let i be 9 + -8 - (-6)/o. Determine p, given that -2/5*p**3 - 2/5*p**2 + 2/5*p + i*p**4 + 0 = 0.
-1, 0, 1
Let w(r) be the third derivative of r**5/60 + 2*r**4/3 + 32*r**3/3 - 44*r**2. Factor w(b).
(b + 8)**2
Let d(m) be the first derivative of m**6/75 + m**5/25 + m**4/30 + m - 1. Let f(w) be the first derivative of d(w). Determine l so that f(l) = 0.
-1, 0
Let q(g) be the second derivative of -g**7/7560 + g**6/2160 - g**4/12 + 4*g. Let d(n) be the third derivative of q(n). Factor d(r).
-r*(r - 1)/3
Let p(z) be the third derivative of 1/5*z**6 - 1/10*z**5 + 0*z + 0*z**4 - 1/28*z**7 + 0*z**3 + 0 + 4*z**2 - 25/224*z**8. Factor p(b).
-3*b**2*(b + 1)*(5*b - 2)**2/2
Let n(c) be the second derivative of c**5/60 + c**4/4 + 3*c**3/2 + 9*c**2/2 + 2*c. Factor n(h).
(h + 3)**3/3
Let s(r) = r**3 - 4*r**2 + 4*r. Let b be s(3). Determine t, given that -3 - 9*t - 3*t**b - 6*t**2 - 3*t**2 + 0*t**2 = 0.
-1
Let v(g) be the first derivative of -2*g**5/35 - g**4/7 - 2*g**3/21 - 31. Let v(i) = 0. Calculate i.
-1, 0
Let k be (1 + 0)/(-1) + 5. Solve k*c**4 - 3*c**4 - c**2 + 2*c**5 - c**3 - c**5 = 0.
-1, 0, 1
Let t be (-9)/(-2) - (-17)/((-102)/24). Determine v so that 0 + t*v + 1/2*v**2 = 0.
-1, 0
Solve -15/2*u**2 + 3*u + 9/2*u**3 + 0 = 0.
0, 2/3, 1
Let r be (6/(-9) - 0)*-3. Find p such that 11*p**4 - 9*p**4 + 2*p**5 - 6*p**3 - 2*p**r + 4*p**3 = 0.
-1, 0, 1
Let m(w) be the first derivative of -w**3/21 - w**2/14 - 15. Factor m(j).
-j*(j + 1)/7
Find j such that -47*j**3 + 45*j**3 + 3*j - 2*j + j**2 = 0.
-1/2, 0, 1
Let 2 - 5 - 1 - 13*v**2 + 9*v**2 - 8*v = 0. What is v?
-1
Let g(f) be the first derivative of -f**3 - 3*f**2 - 6. Factor g(b).
-3*b*(b + 2)
Let d(t) be the second derivative of t**6/40 + 3*t**5/40 - t**3/4 - 3*t**2/8 + 8*t. Factor d(i).
3*(i - 1)*(i + 1)**3/4
Let c = -21587/1560 - -180/13. Let f(o) be the third derivative of 0*o + o**2 + 0 + 1/6*o**3 + 1/24*o**4 - 1/60*o**5 - c*o**6. Determine n, given that f(n) = 0.
-1, 1
Factor -20/9*t**3 - 4/9 + 20/9*t**4 + 0*t**2 - 2/3*t**5 + 10/9*t.
-2*(t - 1)**4*(3*t + 2)/9
Suppose 3*l = 31 + 23. Let t be l/(-81) + 29/9. Factor 4/9*c**2 - 2/9*c**t - 2/9*c + 0.
-2*c*(c - 1)**2/9
Let g = -8 - -10. Let c be g/(-42) + 2/6. Find x such that -6/7*x - 6/7*x**2 - c*x**3 - 2/7 = 0.
-1
Let r = -4 - -14. Suppose -4*q = 3*g - 2, 0*g - r = -4*q + g. Solve -1/4 + 0*n - 1/4*n**4 + 0*n**3 + 1/2*n**q = 0.
-1, 1
Suppose -4*y = 20, -2 = -2*n + y + 11. Factor c**5 - 4/3*c**n + 0*c + 2/3*c**2 - 1/3*c**3 + 0.
c**2*(c - 1)**2*(3*c + 2)/3
Let d(v) be the second derivative of -v**6/30 + v**5/20 + v**4/6 + 10*v. Let d(c) = 0. Calculate c.
-1, 0, 2
Suppose 1 = -r + 3. Suppose -1 = -4*i + 7. Factor -k**3 - r + i - 9*k**2 + 8*k**2.
-k**2*(k + 1)
Let y(l) be the third derivative of -l**8/504 - 2*l**7/315 + l**5/45 + l**4/36 - 30*l**2. Factor y(r).
-2*r*(r - 1)*(r + 1)**3/3
Let g(o) be the second derivative of -o**6/1620 + o**5/180 - o**4/54 + o**3 - o. Let w(z) be the second derivative of g(z). Suppose w(n) = 0. Calculate n.
1, 2
Suppose 0 = 11*l - 6*l. Let u(t) be the third derivative of -1/36*t**4 + 1/180*t**6 + 1/9*t**3 - 1/90*t**5 + 0*t + l + 2*t**2. Solve u(y) = 0 for y.
-1, 1
Let a(v) = 3*v**3 - 2*v**2 - v - 4. Let l(k) = -3*k**3 + k**2 + 2*k + 5