derivative of 1/120*r**5 + 5*r**2 + 0*r**3 + k*r + 1/240*r**6 + 0 + 0*r**4. Factor n(w).
w**2*(w + 1)/2
Let x(w) be the first derivative of 5*w**4/7 - 32*w**3/21 + 6*w**2/7 - 70. Solve x(b) = 0 for b.
0, 3/5, 1
Let s(u) be the first derivative of -u**6/1800 - u**5/600 - 10*u**3/3 + 6. Let m(c) be the third derivative of s(c). Let m(n) = 0. Calculate n.
-1, 0
Let f(i) be the third derivative of -i**7/3780 - i**6/1080 + i**5/30 - 23*i**4/24 + 27*i**2. Let l(m) be the second derivative of f(m). Factor l(b).
-2*(b - 2)*(b + 3)/3
Let u(m) = -3*m - 9. Let h be u(-4). Factor -17*w**3 + 16*w**2 + 44 + 4*w**4 - h*w - 44.
w*(w - 3)*(w - 1)*(4*w - 1)
Let r(l) be the first derivative of -l**3/4 - 45*l**2/2 - 675*l + 100. Factor r(w).
-3*(w + 30)**2/4
Let 2/7*a**2 + 6/7*a - 8/7 = 0. What is a?
-4, 1
Let k = 10707 - 10702. Let -10*w**3 - 14/3*w**4 - 6*w**2 + 0 + 0*w - 2/3*w**k = 0. What is w?
-3, -1, 0
Let i(k) be the second derivative of k**4/48 + 17*k**3/8 - 13*k**2/2 - 726*k. Factor i(p).
(p - 1)*(p + 52)/4
Let y = -1496 - -4489/3. Let y - 1/3*k**2 + 0*k = 0. What is k?
-1, 1
Let y be 34911/216 - (108/32)/(-9). Factor 241/2*r**2 + 26*r + 2 + y*r**4 + 234*r**3.
(2*r + 1)**2*(9*r + 2)**2/2
Let g = -3002/3 + 1001. Factor -a + 1/3 + a**2 - g*a**3.
-(a - 1)**3/3
Factor 16/11*c + 0 + 2/11*c**2.
2*c*(c + 8)/11
Factor 3/2 - 3/4*d**3 - 1/4*d - 5/2*d**2.
-(d + 1)*(d + 3)*(3*d - 2)/4
Solve -2/7 + 3/7*w**3 - 1/7*w + 4/7*w**2 = 0.
-1, 2/3
Let t = 114 - 110. Let l(z) = 9*z**2 - 7*z + 13. Let x(m) = 4*m**2 - 4*m + 6. Let r(d) = t*l(d) - 10*x(d). Factor r(w).
-4*(w - 2)*(w - 1)
Let h(k) be the first derivative of k**4/4 + 2*k**3 + 4*k**2 + 88. Factor h(l).
l*(l + 2)*(l + 4)
Suppose -3*g = -k - 10, 4*k + 72*g = 76*g - 8. Let n(i) be the first derivative of 16/3*i**3 + 10 + 16*i**4 + 0*i**k + 84/5*i**5 + 6*i**6 + 0*i. Solve n(m) = 0.
-1, -2/3, 0
Factor 7*h**2 + 3*h**2 - 8*h**3 + 5*h**3 - 12*h**3 + 5*h**5.
5*h**2*(h - 1)**2*(h + 2)
Let w(t) be the second derivative of -2*t**6/15 + 7*t**4/3 + 4*t**3 + 136*t. Determine b so that w(b) = 0.
-2, -1, 0, 3
Suppose 512 = 87*n + 68 - 948. Suppose 26/3*x**2 + n*x + 32/3 + 1/6*x**4 + 2*x**3 = 0. Calculate x.
-4, -2
Let w(j) be the first derivative of 2*j**5/85 - j**4/34 - 8*j**3/51 + 4*j**2/17 + 73. Factor w(s).
2*s*(s - 2)*(s - 1)*(s + 2)/17
Let q = 24994 + -24992. Suppose 3/2*a + 1 + 1/2*a**q = 0. Calculate a.
-2, -1
Let p(y) = y**3 - 3*y**2 + 4*y - 2. Let r be p(2). Suppose 0 = -r*t + 4*t. What is l in t - 6/7*l**4 + 10/7*l**3 + 0*l - 4/7*l**2 = 0?
0, 2/3, 1
Let l(h) = -h**3 + 23*h**2 - 2*h + 48. Let y be l(23). Suppose -2/7*v**y + 0 - 2/7*v**3 + 0*v = 0. Calculate v.
-1, 0
Let j(b) be the third derivative of b**8/48 + 19*b**7/210 + b**6/15 - b**5/15 + 8*b**2 - 14*b. Factor j(d).
d**2*(d + 1)*(d + 2)*(7*d - 2)
Let -15/2*w - 17 + 1/2*w**2 = 0. Calculate w.
-2, 17
Let a(l) = -7*l**2 - 29*l - 31. Let j(i) = 39*i**2 + 173*i + 185. Let u(o) = 34*a(o) + 6*j(o). Suppose u(y) = 0. Calculate y.
-1, 14
Let t(m) be the second derivative of -m**5/4 - 95*m**4/12 - 160*m**3/3 - 150*m**2 + 30*m + 14. Factor t(q).
-5*(q + 2)**2*(q + 15)
Let a be (-30)/(-12)*(-18)/(-30). Determine b so that 0 + 3/2*b**4 + 0*b + 3/2*b**3 - 3/2*b**5 - a*b**2 = 0.
-1, 0, 1
Let l(y) be the first derivative of 25*y**3/3 + 145*y**2 - 120*y + 244. Determine u so that l(u) = 0.
-12, 2/5
Let q(s) be the third derivative of s**7/420 + s**6/60 - s**4/3 + 4*s**3/3 - 13*s**2. Let r(f) be the first derivative of q(f). Factor r(l).
2*(l - 1)*(l + 2)**2
Let x(s) be the second derivative of s**5/120 + s**4/16 + s**3/6 - 17*s**2/2 + 16*s. Let q(y) be the first derivative of x(y). Factor q(c).
(c + 1)*(c + 2)/2
Let h(r) be the second derivative of -8*r**6/15 - 5*r**5 + 10*r**4/3 + 200*r**3/3 + 48*r**2 - 529*r. Suppose h(i) = 0. What is i?
-6, -2, -1/4, 2
Let n be (-84)/(-15) - (-12)/(-20). Suppose 53 = n*w - 2. Determine a, given that -4*a**2 - 6*a + 2*a**3 - 3 + w - 8 = 0.
-1, 0, 3
Let x(t) be the first derivative of -5/2*t**4 - t**5 - 13 + 5*t**2 + 0*t + 5/3*t**3. Find f, given that x(f) = 0.
-2, -1, 0, 1
Let j(d) be the third derivative of 0*d**3 + 0 + 1/72*d**4 + 1/360*d**6 + 1/90*d**5 - 14*d**2 + 0*d. Factor j(w).
w*(w + 1)**2/3
Suppose 2*o = 2*t, -4*t + 25 = t. Suppose -2*w - 4*r + 30 = -2*r, -4*w + 69 = -o*r. Find m such that -4*m**5 + 16 + 4*m**3 - w = 0.
-1, 0, 1
Let a(i) be the first derivative of i**6/6 + i**5 + 7*i**4/4 + i**3 - 48. Determine p, given that a(p) = 0.
-3, -1, 0
Let k(z) = 18*z - 180. Let u be k(10). Let m(y) be the third derivative of 0 + u*y - 1/180*y**5 + 0*y**3 - 1/72*y**4 - 7*y**2. Factor m(c).
-c*(c + 1)/3
Let r(q) = 9*q**2 - 17*q + 18. Let c(l) = -13*l**2 + 25*l - 26. Let b(n) = 5*c(n) + 7*r(n). Find g such that b(g) = 0.
1, 2
Let m(w) be the first derivative of -w**4/4 - w**3 - 3*w**2/2 - w - 86. Let m(x) = 0. What is x?
-1
Let v(a) be the third derivative of a**9/5040 - a**7/700 + a**5/200 + 5*a**3 - 33*a**2. Let d(m) be the first derivative of v(m). Find c, given that d(c) = 0.
-1, 0, 1
Let g = -1085/3 - -363. Let y(o) be the second derivative of 0 - 4*o**2 + 1/2*o**4 + 13*o - 1/5*o**5 + g*o**3 - 1/15*o**6. Factor y(a).
-2*(a - 1)**2*(a + 2)**2
Let n(x) be the first derivative of -2/3*x**3 + 42 - 2*x**2 + 2/5*x**5 + 0*x + x**4. Factor n(z).
2*z*(z - 1)*(z + 1)*(z + 2)
Let o(s) be the third derivative of 1/100*s**5 + 0*s - 1/10*s**3 + 0*s**4 + 0 + 3*s**2. Factor o(c).
3*(c - 1)*(c + 1)/5
Let d be ((196/21)/14)/(16/6). Factor -1/4*q + d*q**2 - 3/2.
(q - 3)*(q + 2)/4
Let h(f) be the second derivative of -16*f + 0*f**3 - 1/14*f**7 + 9/4*f**4 - 9/20*f**5 - 1/2*f**6 + 0*f**2 + 0. Factor h(l).
-3*l**2*(l - 1)*(l + 3)**2
Let f(n) be the first derivative of -2*n**5/55 + 14*n**3/33 - 6*n**2/11 - 57. Find d such that f(d) = 0.
-3, 0, 1, 2
Let w(o) be the first derivative of o**4/4 - 16*o**3/3 + 10*o**2 + 48*o - 30. Let z(v) be the first derivative of w(v). Factor z(a).
(a - 10)*(3*a - 2)
Determine m so that -92/3 + 44/3*m + 1/3*m**2 = 0.
-46, 2
Let 1/4*c**5 + 8*c**2 - c**4 - 3/2*c**3 - 35/4*c + 3 = 0. What is c?
-3, 1, 4
Suppose 0 = -181*s + 184*s. Let y(j) be the first derivative of 0*j - 1/8*j**4 + s*j**3 + 1/4*j**2 - 1. Factor y(f).
-f*(f - 1)*(f + 1)/2
Let p(d) be the third derivative of -d**8/336 + 3*d**7/70 + 7*d**6/60 - 3*d**5/5 - 5*d**4/3 + 23*d**2 - 3*d. Find s, given that p(s) = 0.
-2, -1, 0, 2, 10
Let l be (-3)/(6/16 + 0/(-3)). Let k be (l/140*-2)/(6/15). Solve 2/7 + 6/7*p + k*p**3 + 6/7*p**2 = 0.
-1
Let j(i) be the third derivative of 2*i**7/105 + 11*i**6/30 + 8*i**5/15 - 10*i**4/3 + 94*i**2. Suppose j(h) = 0. Calculate h.
-10, -2, 0, 1
Let r(h) be the first derivative of 2*h**5/45 - h**4/6 + 4*h**3/27 - 2. Solve r(s) = 0.
0, 1, 2
Solve -5/2*t**2 + 40*t - 160 = 0 for t.
8
Let z(k) be the first derivative of 5*k**4/4 + 125*k**3/3 + 715*k**2/2 - 845*k - 60. Factor z(g).
5*(g - 1)*(g + 13)**2
Factor 2304/5 + 1056/5*v + 3/5*v**3 + 21*v**2.
3*(v + 3)*(v + 16)**2/5
Let x be ((-1222)/(-52) - 24)*(-8)/3. Determine o so that 26/3*o**3 + 3*o**2 - 4/3*o + 3*o**4 - x*o**5 + 0 = 0.
-1, 0, 1/4, 4
Suppose -2*h + 4*h - 10 = 0, 0 = -4*z + h - 117. Let s = -26 - z. Solve 8/3*y**5 - s*y**2 - 10/3*y**3 + 2*y**4 + 2/3*y + 0 = 0 for y.
-1, 0, 1/4, 1
Let x(j) = -j**2 + 10*j + 939. Let m be x(-26). Let b(g) be the first derivative of -6*g**3 - m*g + 10 - 6*g**2 - 3*g**4 - 3/5*g**5. What is q in b(q) = 0?
-1
Let s(j) = 3*j**2 + 2*j + 1. Let k(q) = -13*q**2 - 66*q + 61. Let t(n) = k(n) + 3*s(n). Determine d so that t(d) = 0.
-16, 1
Let y be (-8 + -12*4/(-8))*-1. Let p(s) be the first derivative of y*s**2 - 1/3*s**3 + 0*s - 11. Find o, given that p(o) = 0.
0, 4
Let m(n) be the second derivative of 2*n - 4/21*n**7 - 23/24*n**4 + 7/40*n**5 + 2/5*n**6 + 0 - 1/4*n**2 + 3/4*n**3. Determine p so that m(p) = 0.
-1, 1/4, 1
Let x = 234 - 231. Let w be (x + (-279)/105)/((-2)/(-5)). Let 4/7*h + 16/7*h**3 - w*h**4 - 2*h**2 + 0 = 0. Calculate h.
0, 2/3, 1
Suppose -2*c = -y + 6 - 2, 0 = -4*y - 5*c - 10. Suppose 40 = 5*o - y*o. Factor -3*f**2 - f - 3*f + o*f + 2*f.
-3*f*(f - 2)
Factor 36*v**2 - 17*v**3 - 1 + 735*v**5 - 20*v - 734*v**5 + 1.
v*(v - 2)**2*(v - 1)*(v + 5)
Let n(r) be the second derivative of -r**4/36 - 2*r**3/3 - 6*r**2 - 4*r - 3. Determine g so that n(g) = 0.
-6
Let u 