)**3/9
Let t(m) be the second derivative of -m**4/6 - 14*m**3/3 - 13*m**2 + 30*m - 1. Factor t(i).
-2*(i + 1)*(i + 13)
Solve -10*r - 1/3*r**2 - 75 = 0.
-15
Let z(c) = -c - 2. Let n be z(-3). Let j(p) = 2*p**3 + 2*p - 1. Let b be j(n). Find l, given that -l**3 - l**b + 12*l - 14*l - 4*l**2 + 0*l**3 = 0.
-1, 0
Let s(j) = -3*j**3 - 3*j**2 - 10*j - 12. Let i(a) = 8*a**3 + 7*a**2 + 20*a + 26. Let w(n) = -2*i(n) - 5*s(n). What is o in w(o) = 0?
-2, -1, 4
Let l = -1790 - -1795. Let v(y) be the third derivative of 12*y**2 + 0*y**3 + 0 + 1/240*y**l - 1/480*y**6 + 1/48*y**4 + 0*y. Find h, given that v(h) = 0.
-1, 0, 2
Let h(k) be the second derivative of -5*k**7/42 - 34*k**6/3 - 1155*k**5/4 + 85*k**4/3 + 2890*k**3/3 - 435*k. Solve h(o) = 0.
-34, -1, 0, 1
Let q(g) be the third derivative of 0*g - 1/210*g**5 - 1/21*g**3 + 0 - 1/42*g**4 + 14*g**2. Factor q(z).
-2*(z + 1)**2/7
Let t(c) = 2*c - 1. Let d(w) = -w + 1. Let x(i) = 3*d(i) + 4*t(i). Let o be x(1). Determine a so that -4/5*a**o + 6/5*a**2 + 2/5*a**3 - 2/5 - 2/5*a = 0.
-1, -1/2, 1
Let v = 476 - 472. Let s(p) be the first derivative of 1/8*p**v - 1 + 0*p - 1/20*p**5 + 0*p**2 - 1/12*p**3. Determine x so that s(x) = 0.
0, 1
Let j(i) be the third derivative of -i**6/120 - i**5/60 + i**4 - 6*i**3 - 29*i**2. Suppose j(a) = 0. What is a?
-6, 2, 3
Factor 2/3*h**2 + 36992/3 - 544/3*h.
2*(h - 136)**2/3
Let z = -2/39811 + -10709149/199055. Let m = 54 + z. Factor -6/5*r + 9/5 + m*r**2.
(r - 3)**2/5
Let r(v) be the second derivative of -v**5/180 + v**4/24 - 7*v**2 + 8*v. Let u(z) be the first derivative of r(z). Determine j, given that u(j) = 0.
0, 3
Let b(n) be the first derivative of -n**4/2 + 16*n**3/3 + 20. Find z such that b(z) = 0.
0, 8
Let o(x) be the second derivative of 1/2*x**3 + 17*x + 1/20*x**5 + 1/3*x**4 + 0*x**2 + 0. Suppose o(b) = 0. Calculate b.
-3, -1, 0
Let o(w) be the third derivative of w**8/448 - w**7/280 - w**6/160 + w**5/80 - w**2 + 75*w. Determine n so that o(n) = 0.
-1, 0, 1
Let i(r) be the first derivative of -r**4/20 - r**3/5 - r**2/5 - 73. Factor i(x).
-x*(x + 1)*(x + 2)/5
Let w(u) be the third derivative of -2*u**7/1155 + u**6/132 - u**5/110 - u**4/132 + u**3/33 + 51*u**2. Solve w(q) = 0.
-1/2, 1
Let w = -12449616/65 - -191528. Let o = -28/13 - w. Solve -8/5*h - o*h**2 + 0 = 0 for h.
-2/3, 0
Let c = 380 + -187. Suppose 6*s + 85 = c. Let 26/3*h + 46/3*h**3 + 4/3 + s*h**2 + 14/3*h**4 = 0. Calculate h.
-1, -2/7
Let b(r) be the second derivative of -r**5/40 - r**4/48 - r**2/2 + 4*r. Let h(m) be the first derivative of b(m). Suppose h(o) = 0. Calculate o.
-1/3, 0
Let i(v) = v**2 - 3*v + 2. Let l be i(3). Suppose 2*d**l - 3*d**2 - 3 - 5 + 3*d**2 = 0. What is d?
-2, 2
Let c be (-4)/(-1 - (0 + 0)). Let t be c/22 - (-260)/22. Factor 26*i - 40*i**2 + 9 - 13 + 6*i**3 + t*i**3.
2*(i - 1)**2*(9*i - 2)
Let s(k) be the first derivative of 0*k**4 + 5/2*k**2 + 1/140*k**5 + 0*k - 1/14*k**3 + 3. Let v(n) be the second derivative of s(n). Factor v(d).
3*(d - 1)*(d + 1)/7
Let l(s) = -3*s - 11. Let o be l(-5). Factor 2*i**o + i**4 + 4*i**5 - 10*i**3 - i**5 + 4*i**3.
3*i**3*(i - 1)*(i + 2)
Solve 6/11 - 2/11*k**4 - 8/11*k**3 - 4/11*k**2 + 8/11*k = 0.
-3, -1, 1
Suppose 0 = 3202*r - 3222*r + 40. Find i such that 2/5 + i + 4/5*i**r + 1/5*i**3 = 0.
-2, -1
Let a(s) be the first derivative of -8*s**5/5 - 5*s**4/2 + 14*s**3/3 + 2*s**2 + 3. Determine l so that a(l) = 0.
-2, -1/4, 0, 1
Let a(r) be the first derivative of 0*r**3 - 7 + 1/720*r**6 - 1/180*r**5 + 0*r**4 + 0*r - 11/2*r**2. Let t(n) be the second derivative of a(n). Factor t(h).
h**2*(h - 2)/6
What is r in 3/4*r**4 + 0*r + 0 + 0*r**2 - 3/4*r**3 = 0?
0, 1
Let d(w) be the second derivative of w**6/120 - 3*w**5/40 + w**4/6 + w**3/4 - 9*w**2/8 + 79*w. Solve d(f) = 0.
-1, 1, 3
Let p(a) be the first derivative of -a**6/6 + a**5/5 + 3*a**4/4 - a**3/3 - a**2 - 4. Factor p(x).
-x*(x - 2)*(x - 1)*(x + 1)**2
Factor 4*h - 12*h**2 - 11*h**2 + 43*h**2 - 14*h**2.
2*h*(3*h + 2)
Let u = 28 + -37. Let o = -7 - u. Factor 3/2 - 3*j + 3/2*j**o.
3*(j - 1)**2/2
Let z(d) = 6*d**2 - 27*d + 12. Let f(a) = 3 - 16*a + 2*a + 3 - a**2 + 4*a**2. Let i(p) = 9*f(p) - 5*z(p). Find y, given that i(y) = 0.
1, 2
Let d(q) = 19*q**2 - 50*q + 31. Let l(s) = 3*s**2 - 4*s + 5 - 12*s + 8*s. Let j(i) = -6*d(i) + 39*l(i). Factor j(f).
3*(f - 3)*(f - 1)
Let d(m) be the second derivative of -m**6/60 + 3*m**5/10 - 35*m**4/24 - m**3 + 9*m**2 + 229*m. Factor d(u).
-(u - 6)**2*(u - 1)*(u + 1)/2
Factor -3*q**2 - 3*q**2 + 2*q**2 + 230*q + 7*q**2 + 225 + 2*q**2.
5*(q + 1)*(q + 45)
Let a(h) be the second derivative of -h**7/16 - h**6/5 - 3*h**5/40 + 7*h**4/16 + 11*h**3/16 + 3*h**2/8 + 28*h. Determine d so that a(d) = 0.
-1, -2/7, 1
Let a(s) be the second derivative of s**5/170 + 29*s**4/51 + 220*s**3/51 + 216*s**2/17 - s - 27. Find p, given that a(p) = 0.
-54, -2
Let c(n) be the first derivative of -n**4/4 + 4*n**3/3 + 15*n**2/2 - 18*n + 120. Find m such that c(m) = 0.
-3, 1, 6
Solve -1 + 1/3*o**5 - o**4 + 2*o**2 + 1/3*o - 2/3*o**3 = 0.
-1, 1, 3
Let p(k) = -k**2 + 1. Let c(o) = 15*o**2 - 18*o + 3. Let q(r) = c(r) + 12*p(r). Suppose q(b) = 0. Calculate b.
1, 5
Let f be (-3)/((108/(-8))/9). Factor f*p**3 + 3*p**4 - p**2 + 2*p**4 - 6*p**4.
-p**2*(p - 1)**2
Let p be (-5 + 5)/(3 + -1). Let x(z) be the second derivative of -1/40*z**5 + 0*z**2 - 1/12*z**4 - 1/12*z**3 + p - z. Find h, given that x(h) = 0.
-1, 0
Factor 1/6*l**3 - 5*l**2 - 196/3 + 42*l.
(l - 14)**2*(l - 2)/6
Let b(u) = 2*u**4 - 8*u**3 - 38*u**2 + 44*u - 12. Let l(d) = d**3 + d**2 - 2*d + 1. Let f(p) = -b(p) - 12*l(p). What is i in f(i) = 0?
-5, 0, 1, 2
Let d = -546 - -551. Let l(m) be the third derivative of 0 + 0*m**3 + 1/72*m**4 - 3*m**2 - 1/90*m**d + 0*m. Factor l(q).
-q*(2*q - 1)/3
Let t(v) = v**4 - v - 1. Let s(m) = -5*m**4 - m**3 + 6*m + 6. Let u(b) = -s(b) - 6*t(b). What is w in u(w) = 0?
0, 1
Let b be (4/14 - 1060/280)*(-32)/56. Factor 0 + 0*j + 1/4*j**4 + 3/2*j**b + 5/4*j**3.
j**2*(j + 2)*(j + 3)/4
Determine j, given that 24/7*j**5 - 4/7*j - 50/7*j**4 + 0 + 50/7*j**2 - 20/7*j**3 = 0.
-1, 0, 1/12, 1, 2
Suppose 0 + 45/2*c**3 + 33/4*c**4 - 24*c**2 + 3/4*c**5 - 120*c = 0. What is c?
-5, -4, 0, 2
Factor -20 - 26/3*w - 2/3*w**2.
-2*(w + 3)*(w + 10)/3
What is m in -39/2*m + 19 + 1/2*m**2 = 0?
1, 38
Let q = -31 - -45. Suppose b - 19 + q = 0. Find j such that -12*j**4 - 3*j + j**2 + j**2 - 6*j**2 - 3*j**b - 18*j**3 - 8*j**2 = 0.
-1, 0
Let o = -52561/7 + 7509. Let t be -2*(18/7)/(-3). Let -8/7*m - 8/7*m**3 - t*m**2 - 2/7*m**4 - o = 0. Calculate m.
-1
Let p = 5620 + -5617. Factor -4/11 + 0*f**2 - 6/11*f + 2/11*f**p.
2*(f - 2)*(f + 1)**2/11
Let q = 58 + -58. Let z(o) be the second derivative of -1/36*o**4 - 1/36*o**3 + 7*o + q - 1/120*o**5 + 0*o**2. Factor z(b).
-b*(b + 1)**2/6
Let c(p) be the third derivative of -2*p**7/105 - 4*p**6/3 - 146*p**5/5 - 380*p**4/3 - 722*p**3/3 + 4*p**2 + 40*p. Factor c(d).
-4*(d + 1)**2*(d + 19)**2
Let w(q) be the first derivative of -q**4/30 + 4*q**3/15 + 7*q - 9. Let s(i) be the first derivative of w(i). Suppose s(a) = 0. Calculate a.
0, 4
Let f(q) be the third derivative of -q**7/315 + 4*q**6/45 - 2*q**5/3 - 16*q**4/9 + 256*q**3/9 + 4*q**2 - 3*q. What is x in f(x) = 0?
-2, 2, 8
Let x(s) = s**4 - s**3 + 4*s**2 + 4*s + 2. Let u(p) = -3*p**4 + 2*p**3 - 8*p**2 - 8*p - 5. Let l(i) = 2*u(i) + 5*x(i). Solve l(z) = 0.
-2, -1, 0, 2
Let g(k) be the first derivative of -2*k**3/3 + 108*k**2 - 5832*k - 24. Find w, given that g(w) = 0.
54
Let i(n) be the first derivative of n**3/6 - n**2/2 + n/2 - 91. Factor i(h).
(h - 1)**2/2
Let i be (11/(-2) - -5)/((-1)/(-2)). Let o be i/((-2)/12)*(-50)/(-150). Factor 2/5*m**3 - 6/5*m + 4/5 + 0*m**o.
2*(m - 1)**2*(m + 2)/5
Let t = -654 - -656. Let y(a) be the second derivative of -8/3*a**3 - 16*a**t + 6*a - 1/6*a**4 + 0. Let y(p) = 0. Calculate p.
-4
Let d(q) be the second derivative of 0*q**3 + 0*q**4 + 0*q**2 + 0 + 1/7*q**7 + 0*q**5 + 13*q - 1/20*q**6. Find c such that d(c) = 0.
0, 1/4
Let z(a) be the second derivative of -a**9/2016 - a**8/560 - 2*a**3 + 4*a. Let y(r) be the second derivative of z(r). Factor y(d).
-3*d**4*(d + 2)/2
Let u(y) be the first derivative of -y**4/28 + 27*y**2/14 + 54*y/7 - 109. Factor u(r).
-(r - 6)*(r + 3)**2/7
Let m = -36 + 11. Let v be (-40)/m - 2/(-5). Factor 3*