 z(w) be the first derivative of w**4/4 - w**3 + w**2 - 145. Suppose z(q) = 0. What is q?
0, 1, 2
Let n(w) be the second derivative of w**6/75 + w**5/50 - 2*w**4/15 - 4*w**3/15 - 69*w. Solve n(a) = 0.
-2, -1, 0, 2
Determine i, given that 32/15*i + 2/15*i**2 - 24/5 = 0.
-18, 2
Suppose -b = -0*b - 8. Let -1 - 4*r - 6*r**2 + 38*r**4 + 4*r**3 - 39*r**4 - b*r**3 = 0. Calculate r.
-1
What is v in 18*v**2 - 29*v**4 - 73*v**2 + 62*v**4 + 85*v**3 - 63*v**4 + 10*v = 0?
0, 1/3, 1/2, 2
Let v(a) = -a**3 - a**2 + a + 1. Let l be v(1). Let i be l*(-1)/3*(-5 - -6). Factor 0 + 0*g**2 + i*g - 2/7*g**4 - 4/7*g**3.
-2*g**3*(g + 2)/7
Let g be -9*65/(-117) - 3. Solve -3/4*m**4 - 3/2*m - 15/4*m**g - 3*m**3 + 0 = 0.
-2, -1, 0
Let p(y) be the second derivative of 16*y + 0*y**3 + 23/30*y**5 - 1/15*y**6 + 0*y**2 + 4/9*y**4 + 0. Factor p(v).
-2*v**2*(v - 8)*(3*v + 1)/3
Let h(b) be the first derivative of 2*b**3/3 - b**2 - 53. Factor h(i).
2*i*(i - 1)
Let t(m) = 4*m**2 - 15*m + 14. Let p(z) = 5*z**2 - 16*z + 15. Let l(k) = 3*p(k) - 4*t(k). Let j be l(11). Factor 0 - 2/15*b**3 + j*b**2 + 2/15*b.
-2*b*(b - 1)*(b + 1)/15
Let l be 3/12*3 + (-155)/(-124). Factor 2/3*j**3 + 2/3*j + 0 + 4/3*j**l.
2*j*(j + 1)**2/3
Suppose 176*z = 47*z. Factor -5/7*a**3 + z*a - 2/7*a**2 + a**4 + 0.
a**2*(a - 1)*(7*a + 2)/7
Let k = -9118 + 45593/5. What is d in -k*d**2 + 2/5*d**3 + 2/5*d - 1/10*d**4 - 1/10 = 0?
1
Let j(v) = v**4 - v**2 + 1. Let w be (-12 - -11)*(-5 - -2). Let g(y) = -y**4 - 8*y**3 + y**2 + 8*y + 3. Let p(n) = w*j(n) - g(n). Suppose p(i) = 0. Calculate i.
-2, -1, 0, 1
Let z(j) = j + 14. Let b be z(-10). Solve 0*y**2 - 4*y**3 + 4*y - 4*y**2 + 11*y**b - 7*y**4 = 0.
-1, 0, 1
Let a = -121 - -125. Let i(s) be the first derivative of 0*s + 3/2*s**a - 4 - 3/5*s**5 + 0*s**2 - s**3. Determine p, given that i(p) = 0.
0, 1
Let w(d) be the third derivative of 8/33*d**3 - 5/33*d**4 - 15*d**2 + 0*d - 1/220*d**6 + 0 + 7/165*d**5. Suppose w(f) = 0. What is f?
2/3, 2
Let c be (52/(-5))/(60/(-200)). Let z = 35 - c. Find x, given that -2/3*x - z*x**2 - 1/3 = 0.
-1
Let s(a) be the first derivative of 1/2*a**4 - 2/3*a**3 + 10 + 0*a**2 + 0*a. Let s(y) = 0. Calculate y.
0, 1
Let s(t) be the second derivative of 49*t + 5/6*t**4 - 1/12*t**6 + 0*t**2 - 5/168*t**7 + 5/6*t**3 + 0 + 3/16*t**5. Suppose s(a) = 0. Calculate a.
-2, -1, 0, 2
Suppose -2*h - 2*h - 3*k + 17 = 0, 3 = k. Factor -3 - 10 + y - 5*y - 2*y**h + 11.
-2*(y + 1)**2
Let y(t) be the first derivative of 1/4*t**2 + 0*t + 4 - 1/6*t**3. Determine p so that y(p) = 0.
0, 1
Let z(p) be the second derivative of 0*p**2 + 0 + 14*p + 0*p**4 + 0*p**3 - 3/40*p**5. Suppose z(w) = 0. What is w?
0
Factor -86*k**3 - k**4 + 0*k**2 + 8*k + 84*k**3 + 4*k**2.
-k*(k - 2)*(k + 2)**2
Let o be (11 + -2 + 1)*((-1632)/(-425))/16. Factor 4/5*v**5 + 0 - 16/5*v**2 + 16/5*v + 8/5*v**4 - o*v**3.
4*v*(v - 1)**2*(v + 2)**2/5
Let j(b) be the third derivative of -b**5/30 + b**4/3 + 5*b**3/3 - 207*b**2. Let j(g) = 0. Calculate g.
-1, 5
Let r(p) = -5*p**2 - 16*p. Let m(w) = 5*w**2 + 14*w. Let u(y) = 3*m(y) + 2*r(y). What is x in u(x) = 0?
-2, 0
Let z = 14 - -31. Let s = 49 - z. Suppose -1/4*p**s - 3/4*p**2 - 1/4*p - 3/4*p**3 + 0 = 0. What is p?
-1, 0
Let h(s) be the first derivative of -s**8/9240 + s**7/4620 + 10*s**3/3 - 8. Let y(a) be the third derivative of h(a). Determine m so that y(m) = 0.
0, 1
Let t(w) = 2*w**2 + 3*w + 5. Let i(k) = -2*k**2 - 2*k - 4. Suppose -4*o + 38 = 3*g, 3 = -3*g - 3*o + 36. Let h = 2 - g. Let y(j) = h*t(j) - 5*i(j). Factor y(x).
2*x*(x - 1)
Let c = 22475/33717 + 1/11239. Factor 2/3*n**4 - 4/3*n**2 + 2/3*n**5 + c - 4/3*n**3 + 2/3*n.
2*(n - 1)**2*(n + 1)**3/3
Let s(m) be the second derivative of -m**7/252 + m**6/60 - m**5/120 - m**4/24 + m**3/18 + 14*m + 5. Suppose s(n) = 0. What is n?
-1, 0, 1, 2
Let l(v) be the second derivative of -19*v + 0 + 1/21*v**3 + 0*v**2 + 1/84*v**4. Determine s, given that l(s) = 0.
-2, 0
Suppose -184 = -4*i - 72. Factor -44*f**2 + 21*f**2 + i*f**2 - 15 + 10*f.
5*(f - 1)*(f + 3)
Suppose -2*b + 3*x = 2*x - 6, 12 = 3*b - 3*x. Let s(y) be the first derivative of -2/3*y**3 - y**2 - b + 0*y. Factor s(h).
-2*h*(h + 1)
Let t(s) be the second derivative of s**3 + 10*s - 1/4*s**4 - 3/2*s**2 + 0. Determine o, given that t(o) = 0.
1
Solve r + 96 - r**2 + 75 - 159 = 0.
-3, 4
Factor -32/3 + 20/3*x + 14/3*x**2 - 2/3*x**3.
-2*(x - 8)*(x - 1)*(x + 2)/3
Let l be 2/(-2 - (-28)/16). Let b = l + 10. Find h such that -5/4*h + 3/4*h**3 - h**b + 1/2 = 0.
-1, 1/3, 2
Let l(f) be the first derivative of -f**8/2100 + f**7/525 - f**5/75 + f**4/30 - 5*f**3/3 - 14. Let y(o) be the third derivative of l(o). Solve y(t) = 0.
-1, 1
Let h(m) be the second derivative of -5*m**4/54 + m**3/27 + 41*m. Solve h(u) = 0 for u.
0, 1/5
Let w be ((-2)/8)/(14/(-112)). Find f, given that 0*f**4 + 83*f**w - 91*f**2 - 4*f**4 - 4*f**4 + 6*f**5 + 6*f - 28*f**3 = 0.
-1, 0, 1/3, 3
Let o(m) be the third derivative of m**6/360 + m**5/45 - m**4/72 - 2*m**3/9 - m**2 - 28. Factor o(s).
(s - 1)*(s + 1)*(s + 4)/3
Suppose 0 = b - 16*b. Let c(f) be the third derivative of -4*f**2 + 2/9*f**4 + 2/315*f**7 + b*f**5 + 0*f**3 + 0 + 0*f - 1/30*f**6. Factor c(m).
4*m*(m - 2)**2*(m + 1)/3
Let g = 8499/10355 + -8/109. Let o = 18/19 - g. Factor 1/5*q**2 + o*q**3 + 0 - 1/5*q - 1/5*q**4.
-q*(q - 1)**2*(q + 1)/5
Let t(k) = 2*k**3 + 14*k**2 - 2*k - 6. Let q be t(-4). Let p = -98 + q. Factor 2/5*c**2 + 0 + p*c.
2*c**2/5
Let i(a) be the second derivative of -a**4/24 - 5*a**3/12 + 132*a + 2. Factor i(c).
-c*(c + 5)/2
Suppose 0 = -y + f + 1, -4*y + 16 = 4*f + 20. Let p(k) be the third derivative of -1/30*k**5 - 1/6*k**4 + k**2 + 0 + 0*k**3 + y*k. Factor p(n).
-2*n*(n + 2)
Let t = 175 - 63. Let -36*x**4 + t*x**2 + 180*x**3 + 158*x**2 + 216*x + 5*x**5 + 86*x**4 - 81*x = 0. Calculate x.
-3, -1, 0
Let b(v) be the third derivative of 2*v**2 + 0 - 243*v**3 - 2*v + 81/8*v**4 - 9/40*v**5 + 1/480*v**6. Find n, given that b(n) = 0.
18
Let i be -8 - 5*(-4)/(-10). Let p(m) = m + 1. Let k(q) = -q**2 - 4 + 2*q + 11 - 4. Let t(z) = i*p(z) + 2*k(z). Factor t(l).
-2*(l + 1)*(l + 2)
Let t(r) be the third derivative of r**6/80 - r**5/10 - 7*r**4/4 - 8*r**3 - 231*r**2. Factor t(s).
3*(s - 8)*(s + 2)**2/2
Let f(y) = 10*y + 10. Let o be f(7). Factor 9*i**5 + 4*i**2 + 24*i**3 + o*i**4 - 44*i**4 + 7*i**5.
4*i**2*(i + 1)**2*(4*i + 1)
Let t(f) be the third derivative of -28*f**2 - 1/20*f**6 + 0 + 0*f**3 + 0*f + 1/105*f**7 + 1/6*f**4 - 1/30*f**5 + 1/168*f**8. Solve t(q) = 0.
-2, -1, 0, 1
Let c(a) be the second derivative of 3*a**2 - 1/3*a**3 - 4*a - 1/90*a**5 + 0 - 1/9*a**4. Let t(v) be the first derivative of c(v). Let t(f) = 0. Calculate f.
-3, -1
Let y be ((-243)/(-27) - 13)*(-54)/21. Factor -24*k - y - 2/7*k**4 - 4*k**3 - 122/7*k**2.
-2*(k + 1)**2*(k + 6)**2/7
Let o(z) be the second derivative of -11*z**6/30 + 13*z**5/10 - 23*z**4/33 + 4*z**3/33 + 146*z. Solve o(a) = 0 for a.
0, 2/11, 2
Let q(j) be the first derivative of -j**4/16 - j**3/4 + 2*j**2 - 3*j + 78. Solve q(c) = 0.
-6, 1, 2
Let k(x) = x**2 - x - 4. Let u be k(3). Suppose -5*i = -u*i - 9. Factor -g**i - 1/5*g**2 + 0*g + 0 - 4/5*g**4.
-g**2*(g + 1)*(4*g + 1)/5
Factor 1/10*s**2 - 46/5 - 19/10*s.
(s - 23)*(s + 4)/10
Let d(m) be the second derivative of m**5/170 - m**4/34 + m**3/17 - m**2/17 + 66*m. Solve d(h) = 0.
1
Let y(d) = -5*d + 478 - 7*d - 2*d**2 - 483. Let a be y(-5). Let k**4 - 1/4*k**a - 3/2*k**3 + 0 - 1/4*k + k**2 = 0. Calculate k.
0, 1
Let p(o) be the second derivative of 0*o**4 + 0*o**2 + 1/8*o**3 - 3/80*o**5 + 7*o + 0. Factor p(n).
-3*n*(n - 1)*(n + 1)/4
Let j(k) = -7*k**5 + 11*k**4 - 9*k**3 - 17*k**2 + 10*k. Let o(b) = -b**5 + b**4 - b**3 - 2*b**2 + b. Let l(i) = -j(i) + 6*o(i). What is q in l(q) = 0?
-1, 0, 1, 4
Solve 0 + 1/4*q**3 + 6*q**2 + 36*q = 0.
-12, 0
Let r = 105 - -37. Let v = r - 140. Factor -3/2*m + 0 - 1/2*m**v.
-m*(m + 3)/2
Let t(r) be the first derivative of -8*r**3 - 66*r**2 - 363*r/2 - 25. Let t(s) = 0. Calculate s.
-11/4
Factor -328*u + 112*u**2 + 38*u**3 - 12*u**3 + 113 - 65 - 12*u**2.
2*(u - 2)*(u + 6)*(13*u - 2)
Let h(m) = m**3 + m**2 + 83*m + 173. Let k be h(-2). Factor -2/7*y**2 - 2/7*y**k + 12/7*y + 0.
-2*y*(y - 2)*(y + 3)/7
Let v = -23278/7 + 3326. Factor 16/7 - v*t**2 - 4/7*t**3 + 16/7*t.
-4*(t - 2)*(t + 1)*(t + 2)/7
Let k(i) be th