z) = 0.
-9, 5
Let b(m) = 32*m**3 - 7*m + 8. Let s be b(4). Determine i so that 52016*i**4 + 6 - 2 + 5106*i**4 - 2 + 17576*i**3 + s*i**2 + 104*i = 0.
-1/13
Let j = 50203/83680 - -1/16736. What is g in 1/5*g**3 + 2/5 + 0*g**2 - j*g = 0?
-2, 1
Suppose 5*t + 54 = 2*t + 2*p, -3*t - 4*p - 72 = 0. Let r be (15/t)/((-30)/32). Factor -4/5*o**2 + r*o**4 + 4/5*o**3 - 4/5*o**5 + 0*o + 0.
-4*o**2*(o - 1)**2*(o + 1)/5
Factor -32 + 767*y**2 - 1538*y**2 + 767*y**2 - 36*y.
-4*(y + 1)*(y + 8)
Let t(n) be the second derivative of -n**7/630 + n**6/135 - n**5/90 - 2*n**3/3 - 11*n. Let c(s) be the second derivative of t(s). Factor c(f).
-4*f*(f - 1)**2/3
Let h = -41794/3 - -14160. What is u in -h*u**3 - 224*u + 128/3 + 392*u**2 = 0?
4/7
Let d(k) be the third derivative of 0*k - 1/6*k**3 - 14*k**2 + 1/180*k**5 + 0 + 1/36*k**4. Let d(s) = 0. Calculate s.
-3, 1
Let r(w) = 2*w + 22. Let q be r(-9). Factor 2*t**2 + 0*t**3 - t + q*t**3 - t**3 - 4*t**3.
-t*(t - 1)**2
Let k(c) = -c**3 + 7*c**2 + 81*c - 452. Let a be k(5). Factor 0 + 2*x**2 + 2/5*x**a + 0*x.
2*x**2*(x + 5)/5
Let g be (12/(-10) - -1)/(36/(-160)). Let -g*t**4 + 10/9*t**3 - 2/9*t**2 + 0 + 0*t = 0. What is t?
0, 1/4, 1
Let u(v) be the second derivative of v**10/60480 + v**9/15120 - v**7/2520 - v**6/1440 - 5*v**4/12 - 12*v. Let h(m) be the third derivative of u(m). Factor h(l).
l*(l - 1)*(l + 1)**3/2
Let d = -1540 + 1546. Let a(k) be the third derivative of 0*k**3 + 0 - 1/60*k**5 + 0*k + 0*k**4 - 1/240*k**d + 1/420*k**7 + 12*k**2. Factor a(w).
w**2*(w - 2)*(w + 1)/2
Let p(g) be the second derivative of -g**2 + 1/2*g**3 + 0 - 1/12*g**4 - 26*g. Factor p(h).
-(h - 2)*(h - 1)
Let g = -807 - -809. Let a(t) be the first derivative of 3 - g*t**2 + 0*t + 1/3*t**3. What is i in a(i) = 0?
0, 4
Factor 104/5*k**4 - 2*k**5 - 8*k**3 + 0 + 0*k**2 + 0*k.
-2*k**3*(k - 10)*(5*k - 2)/5
Let d(r) be the second derivative of -2*r**7/7 + 4*r**6/3 - 9*r**5/5 + 2*r**4/3 - 217*r. Let d(y) = 0. Calculate y.
0, 1/3, 1, 2
Let l be (-14)/(-10) - 1 - 255/(-50). Let c = l - 5. Suppose 1/2*o + c*o**3 + 0 + o**2 = 0. Calculate o.
-1, 0
Let z(p) = 4*p - 124. Let w be z(31). Let b(v) be the third derivative of -1/105*v**7 + 1/15*v**5 + 5*v**2 + 0*v + w*v**4 + 0*v**6 - 1/3*v**3 + 0. Factor b(k).
-2*(k - 1)**2*(k + 1)**2
Solve -4*g + 84*g**4 + 20*g**3 + 35*g**3 + 6*g**3 + 30*g**5 - 3*g**5 + 0*g**5 = 0.
-2, -1, -1/3, 0, 2/9
Let m(n) be the third derivative of 0*n + 1/60*n**6 + 10/3*n**3 + 4/15*n**5 + 17/12*n**4 + 14*n**2 + 0. Factor m(w).
2*(w + 1)*(w + 2)*(w + 5)
Let d = -7/33681 - -13035086/2593437. Let j = 60/11 - d. Find l, given that -15/7*l**4 + j*l**3 + 15/7*l**2 - 9/7*l**5 + 0 + 6/7*l = 0.
-1, -2/3, 0, 1
Let t(z) = 3*z + 3. Let a(x) = -4*x - 2. Let k(c) = 2*a(c) + 3*t(c). Let m be k(-5). Find p, given that 1/2*p**3 + m*p + 1/3*p**2 + 0 + 1/6*p**4 = 0.
-2, -1, 0
Factor 3/2 - 7*f**2 - 11/2*f.
-(f + 1)*(14*f - 3)/2
Let l(k) = -k**2 + 2. Let y(j) = -4*j**3 - 4*j**2 + 4*j + 16. Let c(d) = 12*l(d) - y(d). Solve c(p) = 0 for p.
-1, 1, 2
Solve -30 + 5*i**4 - 8*i**4 + 93*i + 12*i**3 + 27*i**3 - 99*i**2 = 0 for i.
1, 10
Let z(d) = d**2 + d - 3. Let y be z(2). Factor -n**3 + 0*n**3 - 2*n**2 + 6*n**3 - y*n**2.
5*n**2*(n - 1)
Let g be 4/3*(-16)/(-64). Let q(r) be the first derivative of -1/6*r**3 - g*r + 1 + 1/30*r**5 - 5/12*r**2 + 1/24*r**4. Factor q(l).
(l - 2)*(l + 1)**3/6
Let s be (88/11)/16 - (-3)/(-18). Factor s*p**3 + 0 - 1/3*p**2 - 1/3*p + 1/3*p**4.
p*(p - 1)*(p + 1)**2/3
Suppose 403*b = 394*b. Let d(i) be the third derivative of 1/40*i**5 + b*i**3 + 0 - 7*i**2 + 0*i + 1/120*i**6 + 1/48*i**4. Factor d(h).
h*(h + 1)*(2*h + 1)/2
Let x = 725/2708 - 12/677. Factor -x*v**2 - 1 - 5/4*v.
-(v + 1)*(v + 4)/4
Let l(i) = i**2 + i. Let v(a) = -a**2 + 37*a - 16. Let p(x) = -18*l(x) + 2*v(x). Factor p(t).
-4*(t - 2)*(5*t - 4)
Let b be (-3 - (-20)/8)*-8. Let k be ((-3 - 0) + (b - 0))*3. Factor 3/7*t**4 - 3/7*t**k + 0 + 3/7*t - 3/7*t**2.
3*t*(t - 1)**2*(t + 1)/7
Let l(u) = 12*u - 16. Let i(n) = 7*n**2 + 23*n - 26. Let x(c) = 8*c**2 + 23*c - 25. Let h(s) = 7*i(s) - 6*x(s). Let g(v) = -4*h(v) + 9*l(v). Solve g(j) = 0.
2
Factor -2/3*j**2 + 12 + 14/3*j.
-2*(j - 9)*(j + 2)/3
Let c(z) be the third derivative of -1/320*z**6 + 0*z**3 + 0 + 2*z**2 + 0*z**5 + 11*z + 3/560*z**7 + 0*z**4 + 1/224*z**8. Solve c(s) = 0.
-1, 0, 1/4
Let q(b) be the second derivative of -b**7/84 + b**6/60 + 9*b**5/40 - 5*b**4/24 - 4*b**3/3 + 3*b**2 - b - 46. Find u, given that q(u) = 0.
-2, 1, 3
Factor -57*u**2 - 63*u**2 - 8*u**3 + 162*u**2 - u - 2*u**4 + u.
-2*u**2*(u - 3)*(u + 7)
Let x be 4/(-18) + 3439/855. Let g = x + -12/5. Factor 9/5*d**3 + 0 - g*d**2 + 2/5*d + 1/5*d**5 - d**4.
d*(d - 2)*(d - 1)**3/5
Let f(w) be the first derivative of -w**4/32 - w**3/4 + 7*w**2/16 + 82. Solve f(y) = 0 for y.
-7, 0, 1
Let i be 120/(-21)*(-7)/2. Let m be i/(-14)*77/(-99). Find d, given that -8/9 - m*d**2 + 50/9*d**3 - 32/9*d = 0.
-2/5, 1
Let a(v) be the second derivative of v**5/5 - 8*v**4/3 + 14*v**3/3 - 194*v. Find z such that a(z) = 0.
0, 1, 7
Let g = -1950 - -5851/3. Determine c, given that g*c**2 + 2*c + 5/3 = 0.
-5, -1
Let b = 10404/5 + -2080. Solve 4/5*f + 4/5*f**2 - 4/5 - b*f**3 = 0 for f.
-1, 1
Suppose -4*y + 16 = -p, -p = y + 1 - 0. Let z be 21/y + (4/(-1))/2. Factor 6*o**3 - 14/3*o**2 - 10/3*o**4 + 0 + 2/3*o**z + 4/3*o.
2*o*(o - 2)*(o - 1)**3/3
Let z be (0/(-3))/(-64 - -63). Determine w so that 0*w + 0 + z*w**4 + 1/5*w**5 - 3/5*w**3 - 2/5*w**2 = 0.
-1, 0, 2
Let y = 166 + -157. Suppose 3*k = -3 + y. Factor -3/4*w**k + 0 + w**3 - 1/4*w**4 + 0*w.
-w**2*(w - 3)*(w - 1)/4
Solve -11*g**3 + 32828*g**4 - g**5 - 10*g**3 - 32838*g**4 = 0.
-7, -3, 0
Let p(d) be the first derivative of -d**5 + 39 + 15/4*d**4 + 0*d**3 - 10*d**2 + 0*d. Find z, given that p(z) = 0.
-1, 0, 2
Let w be (-4)/6 + 6/9. Let b = 385/234 + -37/26. Factor 2/9*u**3 + w*u**2 + 0 - b*u.
2*u*(u - 1)*(u + 1)/9
Let b(y) be the second derivative of -y**5/170 - 19*y**4/102 - 64*y**3/51 - 60*y**2/17 + 2*y + 109. Factor b(q).
-2*(q + 2)**2*(q + 15)/17
Factor 8/11 - 30/11*c - 8/11*c**2.
-2*(c + 4)*(4*c - 1)/11
Let 8*b**4 + 0 + 12*b**3 - 64/5*b - 8*b**2 + 4/5*b**5 = 0. What is b?
-8, -2, -1, 0, 1
Suppose -72/7 - 44/7*p - 4/7*p**2 = 0. What is p?
-9, -2
Let h(m) be the first derivative of -128/5*m - 88/5*m**4 - 104/25*m**5 - 2/5*m**6 - 224/5*m**2 - 6 - 192/5*m**3. Let h(r) = 0. Calculate r.
-2, -2/3
Let s(g) be the first derivative of -g**4/30 + 68*g**3/45 - 23*g**2 + 120*g - 227. Factor s(b).
-2*(b - 15)**2*(b - 4)/15
Let w(y) be the second derivative of y**5/90 - y**4/54 - 11*y**3/9 - 7*y**2 - 100*y. Determine d so that w(d) = 0.
-3, 7
Let o = -279 + 281. Let h(j) be the first derivative of -2*j**4 - 9/4*j**2 + o + 1/2*j + 4*j**3. Factor h(z).
-(z - 1)*(4*z - 1)**2/2
Let t(h) be the second derivative of h**6/50 + 111*h**5/100 + 211*h. Factor t(m).
3*m**3*(m + 37)/5
Let w = 15762 - 15762. Factor -5*v**2 - 15/4*v + w - 5/4*v**3.
-5*v*(v + 1)*(v + 3)/4
Suppose -3*d + 1958*o - 10 = 1957*o, 0 = 5*d - 4*o + 40. Find h such that 0*h - 4/3*h**4 + 8*h**2 + 4/3*h**3 + d = 0.
-2, 0, 3
Let b(h) be the second derivative of -9*h**6/40 - h**5/10 + 17*h**2/2 + 17*h. Let y(q) be the first derivative of b(q). Factor y(g).
-3*g**2*(9*g + 2)
Let i(p) be the second derivative of 4*p + 0*p**3 - 4/3*p**2 + 1/18*p**4 + 0. Factor i(y).
2*(y - 2)*(y + 2)/3
Let j(q) = q**2 + 8*q - 7. Let t be j(-9). Find z, given that -23 + 23 - t*z**2 - z**2 = 0.
0
Let t = -3881/7 + 555. Let o(b) be the first derivative of 0*b**3 - t*b + 3 + 1/14*b**4 - 3/7*b**2. Solve o(v) = 0.
-1, 2
Factor -5*n - 39 + 11*n**2 - 5*n - 10*n**2.
(n - 13)*(n + 3)
Suppose -21*a + 271*a = 0. Factor -4/5*k**3 + 0 + a*k - 2/5*k**2 - 2/5*k**4.
-2*k**2*(k + 1)**2/5
Let s(q) be the second derivative of -q**4/4 - 3*q**3 - 2*q + 50. Factor s(m).
-3*m*(m + 6)
Let u be ((-5)/2)/(410/(-328)). Suppose -1/5*g**2 + u*g - 5 = 0. What is g?
5
Suppose 2*y = -0*l + 4*l - 84, -l + 26 = -3*y. Suppose -21 - 8*v + l + v + 16*v**3 - 8*v**2 = 0. What is v?
-1/4, 1
Let o(l) be the first derivative of l**4/84 - l**3/42 - l**2/7 - 21*l + 9. Let y(c) be the first derivative of o(c). Factor y(m).
(m - 2)*(m + 1)/7
Let d(y) be the third derivative of y**5/120 + y**4/6 + 7*y**3/12 - 64*y**2. Determine l so that d(l) = 0.
-7, -1
Let m = 2