d**2. Find u such that t(u) = 0.
-1/5, 0
Let z(w) = w**2 + 1. Let o be (28/84)/(-1 - (-14)/15). Let m(n) = 6*n**2 - 2*n - 3. Let v(h) = o*z(h) + m(h). Factor v(k).
(k - 4)*(k + 2)
Factor -2/13 + 0*s**2 + 4/13*s**3 + 2/13*s**4 - 4/13*s.
2*(s - 1)*(s + 1)**3/13
Factor -47*a**2 - 15/2 - 33*a**3 - 19/2*a**4 - 1/2*a**5 - 61/2*a.
-(a + 1)**4*(a + 15)/2
Let o(u) be the third derivative of -u**5/150 + 3*u**3/5 + 92*u**2. Factor o(v).
-2*(v - 3)*(v + 3)/5
Let r(v) be the first derivative of v**4/8 - 11*v**3/2 + 72*v**2 - 128*v - 2. Let r(g) = 0. What is g?
1, 16
Let i(m) = 8*m**4 + 23*m**3 - 2*m**2 - 31*m + 24. Let y(c) = 3*c**4 + 8*c**3 - c**2 - 10*c + 8. Let o(h) = -4*i(h) + 11*y(h). Solve o(q) = 0 for q.
-2, 1, 4
Let v be 2/(-4)*(-3 - -43) + 2. Let k be 50/(-35)*(v/15)/1. Determine i, given that -k*i**2 - 6/7*i**5 + 8/7*i**4 + 8/7*i**3 - 2/7*i + 4/7 = 0.
-1, -2/3, 1
Let p(u) be the second derivative of 7*u**6/15 - 22*u**5/5 + 25*u**4/2 - 6*u**3 - u. Suppose p(j) = 0. What is j?
0, 2/7, 3
Let s(m) be the second derivative of -m**5/60 - 2*m**4/3 + 17*m**3/6 - 13*m**2/3 - 32*m. Factor s(z).
-(z - 1)**2*(z + 26)/3
Let d(z) = 2*z + 1. Let g be d(2). Let v be (-4 + g)*(2 + 1). Find o such that -v*o + 20 - 19 - 2*o + o**2 + 3*o = 0.
1
Let n(q) = -45*q**4 + 45*q**2. Let d(g) = -5*g**4 + 5*g**2. Suppose -2*p + 44 = -26. Let t(j) = p*d(j) - 4*n(j). Solve t(u) = 0.
-1, 0, 1
Let d(x) be the second derivative of x**5/5 + x**4/3 - x**3/3 + 4*x. Let c(y) = y. Let u(w) = -2*c(w) - d(w). Suppose u(o) = 0. What is o?
-1, 0
Let g(v) be the third derivative of 5/4*v**3 - 4*v**2 + 0 - 5/12*v**4 + 0*v + 1/24*v**5. Factor g(j).
5*(j - 3)*(j - 1)/2
Let v be ((-3)/10)/(5/((-20)/3)). Let o(l) be the first derivative of v*l**5 + 4/3*l**3 - 5 + 0*l + 0*l**2 + 3/2*l**4. Let o(x) = 0. What is x?
-2, -1, 0
Let v(n) be the second derivative of n**6/210 - 2*n**5/35 - 11*n**4/28 + 3*n - 140. Let v(y) = 0. Calculate y.
-3, 0, 11
Let n(q) be the first derivative of q**5/4 - 10*q**4/3 + 65*q**3/6 - 15*q**2 + 12*q + 24. Let d(b) be the first derivative of n(b). Solve d(i) = 0 for i.
1, 6
Let b(r) be the third derivative of 2*r**7/105 + 2*r**6/5 + 16*r**5/5 + 40*r**4/3 + 32*r**3 - 81*r**2. Solve b(o) = 0.
-6, -2
Let q(z) = -35*z**2 + 40*z + 95. Let o(d) = 2*d**2 + 4*d + 1. Let k(l) = 20*o(l) + q(l). Determine i so that k(i) = 0.
-23, -1
Let c(g) be the third derivative of 0 + 35/24*g**4 - 10*g**2 + 0*g - 1/12*g**5 - 5*g**3. Determine h, given that c(h) = 0.
1, 6
Suppose 8 = -4*a + 72. Suppose -6 = -2*j + 2*w, -29 = -2*j - 5*w - a. Factor 27/5*y**2 + 6/5 - 21/5*y - 3*y**3 + 3/5*y**j.
3*(y - 2)*(y - 1)**3/5
Suppose -3*y**2 + y**3 - 783 - 9*y**2 + 3*y**3 - 4*y + 795 = 0. What is y?
-1, 1, 3
Let o(u) be the third derivative of -u**6/60 - 101*u**2. Find a, given that o(a) = 0.
0
Let r = 730 - 728. Suppose 1/5*l**5 - 1/5*l**4 + 0 + 0*l - 3/5*l**r - l**3 = 0. What is l?
-1, 0, 3
Let z be 22/(-48) + -24*(-17)/306. Suppose -2*b - 2 + z*b**4 + 2*b**3 + 1/8*b**5 + b**2 = 0. What is b?
-2, 1
Let p(n) = n**2 - n + 6. Let v(z) = 3*z**2 - z + 12. Suppose -s - q = -3*s + 11, -3*q + 44 = 5*s. Let j(d) = s*p(d) - 3*v(d). Factor j(l).
-2*(l - 1)*(l + 3)
Let k = 1651/9 - 183. Let v(q) be the second derivative of -k*q**2 - 8/27*q**3 - 1/54*q**4 + 0 - 11*q - 1/189*q**7 + 1/135*q**6 + 1/18*q**5. Solve v(o) = 0.
-1, 2
Suppose -h - 5*o = -52, 96 = 2*h + 7*o - 5*o. Let i = 236/5 - h. What is s in 1/5*s**2 - 2/5*s + 0 + 3/5*s**3 - 1/5*s**5 - i*s**4 = 0?
-2, -1, 0, 1
Find g, given that 2/7*g**3 - 78/7*g + 36/7*g**2 + 40/7 = 0.
-20, 1
Let y(a) be the first derivative of -9/2*a**2 + 6 - 2*a**3 + 6*a. Suppose y(l) = 0. What is l?
-2, 1/2
Factor 57/11*i - 28/11 + 1/11*i**3 - 30/11*i**2.
(i - 28)*(i - 1)**2/11
Let d(i) = -33*i**2 - 165*i - 78. Let w(l) = 9*l**2 + 41*l + 20. Let b(p) = -2*d(p) - 9*w(p). Factor b(t).
-3*(t + 1)*(5*t + 8)
Suppose 0 = 2*c - 17 - 47. Let d(s) = -4*s**3 + 17*s**2 - 28*s + 12. Let i(w) = 44*w**3 - 188*w**2 + 308*w - 132. Let k(l) = c*d(l) + 3*i(l). Factor k(n).
4*(n - 3)*(n - 1)**2
Let z(i) = i**2 - i + 1. Let r(t) = -11*t + 438 + 24*t + 9*t**2 + 53*t. Let y(h) = -r(h) + 6*z(h). Solve y(v) = 0 for v.
-12
Let l be (-4)/(-6) + 2/(-3). Suppose m = l, 3*b + 2 = 4*b - 2*m. Factor -3*z**5 - 12*z**4 + 9*z**3 - 5*z**b + 8*z**5 + 3*z**2.
z**2*(z - 1)**2*(5*z - 2)
Let p be (-12)/(3*27/(-30)). Let y(i) be the first derivative of -10/3*i**2 - 5 + 35/4*i**4 + 0*i - p*i**3. Factor y(u).
5*u*(3*u - 2)*(7*u + 2)/3
Suppose 1003*k - 1007*k - 4 = 3*o, 5*k = -3*o - 2. Suppose -2*v**k + 8/5 + 2/5*v**4 + 0*v**3 + 0*v = 0. Calculate v.
-2, -1, 1, 2
Solve -3/7*h - 6/7*h**4 + 15/7 - 45/7*h**2 + 39/7*h**3 = 0 for h.
-1/2, 1, 5
Let j = -15 - -89. Let u be (-118)/(-28) + (j/14 - 5). Determine q, given that 3/2*q**3 + 3/2 + 9/2*q**2 + u*q = 0.
-1
Let h(j) be the second derivative of j**5/20 + 31*j**4/48 - j**3/3 - 73*j. Factor h(r).
r*(r + 8)*(4*r - 1)/4
Determine w, given that -8 + 43/9*w**2 + 1/9*w**4 - 5/3*w - 13/9*w**3 = 0.
-1, 3, 8
Let b(z) be the third derivative of -z**5/45 + 13*z**4/36 + 8*z**3/3 - 166*z**2. Solve b(o) = 0 for o.
-3/2, 8
Let u(d) be the third derivative of d**6/1440 + d**5/96 + d**4/16 - 3*d**3/2 + 15*d**2. Let r(t) be the first derivative of u(t). Suppose r(w) = 0. What is w?
-3, -2
Find h, given that h**2 + 0*h**2 - 18*h + 3*h**2 - 6*h - h**2 = 0.
0, 8
Let c be (-5 + 3 + 1)*-1. Let -4*a + c - 7*a**2 + a**2 + 2*a + 7*a**2 = 0. Calculate a.
1
Let t(u) be the second derivative of u**7/42 - u**5/4 + 5*u**4/12 + 5*u**2/2 + 5*u. Let r(o) be the first derivative of t(o). Factor r(g).
5*g*(g - 1)**2*(g + 2)
Let s be ((-8)/26)/((-704)/780 + 10/75). Let r be 2/6 + (-1)/3. Suppose -2/5*n - s*n**2 + r = 0. What is n?
-1, 0
Let x(j) be the second derivative of -j**4/12 + 5*j**3/6 + 4*j**2 - 6*j. Let b be x(6). Solve w + 7*w + 2*w**b - 5*w**2 + 8 + 5*w**2 = 0 for w.
-2
Let t(d) be the third derivative of -26*d**6/15 - 16*d**5/5 - 3*d**4/2 + 2*d**3/3 + 2*d**2 - 246. Let t(q) = 0. What is q?
-1/2, 1/13
Let g(h) be the second derivative of h**4/12 + 14*h**3/3 + 98*h**2 + 341*h. Factor g(n).
(n + 14)**2
Find x such that -58/19*x**2 + 8/19*x**3 + 62/19*x - 12/19 = 0.
1/4, 1, 6
Find b, given that 3*b**3 + 90/7*b**2 + 0*b + 0 - 3/7*b**4 = 0.
-3, 0, 10
Find y such that -6*y**2 + 102*y**3 + 22*y - 12 - 77*y**3 + 2*y**4 - 31*y**3 = 0.
-2, 1, 3
Let h(g) be the first derivative of 5*g**6/6 - 21*g**5 - 615*g**4/4 - 895*g**3/3 - 195*g**2 - 97. Let h(z) = 0. What is z?
-3, -1, 0, 26
Factor -3144*a**3 + 3142*a**3 + 1 - 10*a - 4 + 7 + 8*a**2.
-2*(a - 2)*(a - 1)**2
Let o(m) = 5*m**2 + 40*m + 115. Let b be o(-3). Let b*r**2 + 35/2*r**3 + 10*r + 0 = 0. What is r?
-2, -2/7, 0
Suppose -16*k = -20*k + 100. Let n = -23 + k. Find r such that -22*r + 10*r**3 + 0*r**3 - 5*r**n + 17*r = 0.
-1/2, 0, 1
Suppose 0 = -i - 1. Let l be (i/(-5))/(0 - (-1)/4). Find b, given that 8/5*b**2 + l*b**3 - 8/5 - 4/5*b = 0.
-2, -1, 1
Let d be (-3089)/3 + 8*2/24. Let u = -7187/7 - d. Solve -24/7*v**2 - 4/7 + 16/7*v**3 - 4/7*v**4 + u*v = 0 for v.
1
Let i = 58 - 55. Suppose 2*j - v = 7, -7 + i = j + 2*v. Let 4/7*d**j + 0 + 0*d - 4/7*d**3 = 0. What is d?
0, 1
Let x(j) be the second derivative of -j**5/90 - 53*j**4/9 - 11236*j**3/9 - 1191016*j**2/9 - 618*j. Let x(l) = 0. Calculate l.
-106
Let u(a) = 2*a**3 - 14*a**2 - 23*a + 58. Let p be u(8). Let s(q) be the second derivative of -2/3*q**4 - 1/4*q**2 + p*q + 0 + 2/3*q**3. Factor s(m).
-(4*m - 1)**2/2
Let z = 2 + 17. Suppose 3*x = -4*y - 14, 6*y + z = -3*x + y. Factor v**x + 8*v + 4*v**2 + 15 - 3*v**2 - 7.
2*(v + 2)**2
Suppose s + 6*s = 161. Suppose 4*p - s = -3*o, 0*p = -2*o - 4*p + 18. Factor -2*x**4 - 2/3*x**2 + 0*x - 2/3*x**o - 2*x**3 + 0.
-2*x**2*(x + 1)**3/3
Factor 56/3*v + 8/3*v**3 - 1/6*v**4 - 49/6 - 13*v**2.
-(v - 7)**2*(v - 1)**2/6
Let j(n) = -12*n - 60. Let r be j(-23). Let g = 1946/9 - r. Factor -2/9*t + g*t**2 - 4/9.
2*(t - 2)*(t + 1)/9
Let 8/19*v**2 + 0 + 18/19*v**3 - 2/19*v**4 - 4/19*v**5 - 8/19*v = 0. What is v?
-2, -1, 0, 1/2, 2
Let w(f) be the second derivative of -f**4/32 - 31*f**3/48 + 11*f**2/8 + 16*f - 1. Factor w(o).
-(o + 11)*(3*o - 2)/8
Let a be (-6)/9 - 140/(-66). Let i = a + -9/44. Suppose 1/2 + 1/4*g**2 - 5/4*g + i*g**3 - 3/4*g**4 = 0. Calculate g.
-1, 2/3, 1
Let x(z) be the fi