ird derivative of 5/24*l**4 + 1/12*l**5 - l**2 + 0 + 0*l**3 + 0*l. Suppose b(r) = 0. Calculate r.
-1, 0
Suppose -9*t + 14 = -13. Let b be t/2*20/45. Factor -14/9*v**2 - b*v**3 - 2/9 - 10/9*v.
-2*(v + 1)**2*(3*v + 1)/9
Let f = 42194 - 632908/15. What is h in 2/5*h**2 - 2/5*h - 2/15*h**3 + f = 0?
1
Suppose 0*h - 3*h = 0. Suppose 3 = y - h*y. Factor -3*p - 4*p**4 + 4*p**y + 3*p**2 - p**3 + p**4.
-3*p*(p - 1)**2*(p + 1)
Let f be -2 + 4/4 + 56 + 1. Factor 25*j - 34*j**2 - 7*j + f - 46 + 6*j**3.
2*(j - 5)*(j - 1)*(3*j + 1)
Let r be (2 - (-56)/(-20))/(-2)*10. Factor r*f**4 + f**2 - 2*f**4 - f**4 + 2*f**3.
f**2*(f + 1)**2
Let l(v) be the first derivative of -v**5/70 + v**4/42 + 2*v**3/21 - v - 14. Let z(s) be the first derivative of l(s). Suppose z(w) = 0. Calculate w.
-1, 0, 2
Let m(o) be the first derivative of 2*o**5/35 - 13*o**4/14 + 16*o**3/3 - 80*o**2/7 - 411. Factor m(b).
2*b*(b - 5)*(b - 4)**2/7
Let w be ((-12)/18 + 0)/((-2)/3). Let s(l) be the first derivative of -w + 1/12*l**3 + 9/4*l - 3/4*l**2. Suppose s(p) = 0. What is p?
3
Suppose g + 0 = -l + 2, 2 = -l - 3*g. Let p be 0/((-1 + 5)/l + 0). Factor p*d + 4/7*d**2 - 4/7.
4*(d - 1)*(d + 1)/7
Let c(d) = -7*d**3 + 70*d**2 - 493*d + 722. Let q(n) = 30*n**3 - 279*n**2 + 1971*n - 2886. Let g(v) = -9*c(v) - 2*q(v). Factor g(a).
3*(a - 11)**2*(a - 2)
Let h be ((-6)/18)/((-1)/6). Let z be 1/h*48/12. Factor -a - 1 + 3 + 34*a**z - 35*a**2.
-(a - 1)*(a + 2)
Let v(b) be the first derivative of 15/7*b**2 - 2/3*b**3 - 15 - 18/7*b + 1/14*b**4. Find p such that v(p) = 0.
1, 3
Suppose 18 + 10 = 4*j. Suppose 15 = j*c - 2*c. Let n(o) = -o + 1. Let t(l) = l**4 + l**3 - 3*l + 3. Let x(y) = c*n(y) - t(y). Factor x(m).
-m**3*(m + 1)
Let k(t) be the third derivative of 0*t + 0*t**4 + 0 + 20*t**2 + 0*t**3 + 1/240*t**5. Factor k(x).
x**2/4
Let f(p) be the first derivative of p**4 + 14*p**2 + 6 + 20/3*p**3 + 12*p. Determine w so that f(w) = 0.
-3, -1
Factor -5*l**2 - l**3 - 202 + 2*l + 222 + 4*l - 2*l.
-(l - 2)*(l + 2)*(l + 5)
Let k(v) = 11*v**2 - 44*v + 123. Let m(o) = o**2 + 1. Let s(p) = -2*k(p) + 18*m(p). Let s(j) = 0. What is j?
3, 19
Let r(a) be the third derivative of -a**6/40 - 3*a**5/20 + 7*a**4/2 - 119*a**2 + 1. Find g such that r(g) = 0.
-7, 0, 4
Let u(i) = -i**3 + 6*i**2 + 2*i - 8. Let f = -21 + 27. Let v be u(f). Find p such that 1/6 + 1/3*p**3 - 1/3*p + 0*p**2 - 1/6*p**v = 0.
-1, 1
Let g(f) be the third derivative of f**7/140 - f**6/16 - 3*f**5/20 - 4*f**2 + 2. Factor g(b).
3*b**2*(b - 6)*(b + 1)/2
Let w(z) be the first derivative of 0*z**3 + 0*z**2 + 2/7*z**4 - 4/35*z**5 - 2/21*z**6 + 0*z - 2. Factor w(a).
-4*a**3*(a - 1)*(a + 2)/7
Let m(t) be the first derivative of -t**6/24 + t**4/2 + t**3/2 - 7*t**2/8 - 3*t/2 - 117. Find h, given that m(h) = 0.
-2, -1, 1, 3
Let b(w) be the first derivative of -1/9*w**3 + 0*w - 3 + 1/2*w**2. Factor b(y).
-y*(y - 3)/3
Let p(c) = -c**3 - 8*c**2 + 9*c. Let o be p(-9). Suppose o = -5*u + 15, 3 = -q - 3*q + 5*u. Solve 2/5 + 33/5*y**q + 10*y**2 + 19/5*y = 0.
-1, -1/3, -2/11
Find i such that 1/4*i**2 + 6 + 11/4*i = 0.
-8, -3
Find v, given that -v - 11/4*v**3 + 6*v**2 + 0 = 0.
0, 2/11, 2
Let i be (-5)/20*(-2 - 3)*(-429)/(-2145). Factor -3/2*k - i*k**2 - 5/4.
-(k + 1)*(k + 5)/4
Let g(o) be the first derivative of -3*o**4/4 - 9*o**3 - 30*o**2 - 36*o - 109. Suppose g(v) = 0. Calculate v.
-6, -2, -1
Let o be (-9)/(-18)*5/20. Let t(w) be the second derivative of -o*w**3 + 0 + 1/80*w**5 + 8*w + 0*w**2 + 1/24*w**4. Factor t(p).
p*(p - 1)*(p + 3)/4
Let o(y) be the third derivative of 1/105*y**7 - 6*y**2 + 1/10*y**5 + 1/20*y**6 + 0 + 0*y**3 + 1/12*y**4 + 0*y. Factor o(k).
2*k*(k + 1)**3
Solve 21*i**3 - 3/2*i**4 - 30 - 135/2*i**2 + 78*i = 0 for i.
1, 2, 10
Let w(m) be the first derivative of -4*m**4/3 - 2*m**3/3 - 9*m - 17. Let n(i) be the first derivative of w(i). Suppose n(d) = 0. What is d?
-1/4, 0
Let h(v) = -v**5 + v**4 - v**3 + 1. Let n(g) = -4*g**5 + 12*g**4 - 32*g**3 - 16*g**2 + 32*g + 8. Let k(r) = -8*h(r) + n(r). Factor k(j).
4*j*(j - 2)*(j - 1)*(j + 2)**2
Let a(b) = -4*b**2 - 147*b - 1444. Let i(w) = -12*w**2 - 442*w - 4332. Let z(o) = -14*a(o) + 5*i(o). Determine n, given that z(n) = 0.
-19
Let v be -4 - (-88)/20 - (1859/65)/(-11). Factor -2/5*k**4 - 4/5 - 18/5*k**2 - 2*k**v - 14/5*k.
-2*(k + 1)**3*(k + 2)/5
Let p(r) be the second derivative of 1/60*r**4 + 1/3*r**3 + 0 + 9/10*r**2 + 25*r. Let p(z) = 0. What is z?
-9, -1
Let y(p) be the first derivative of 5*p**6/144 + 11*p**5/72 - 7*p**4/18 + p**3/3 + 5*p**2/2 - 1. Let i(o) be the second derivative of y(o). Factor i(x).
(x + 3)*(5*x - 2)**2/6
Suppose -a = n - 3*n + 9, 0 = -2*a - 5*n + 9. Let w = a + 5. Factor -w*z + 3*z**3 + 6 - 11*z**2 - z + 0 + 3*z**4 + 2*z**2.
3*(z - 1)**2*(z + 1)*(z + 2)
Let i(n) = n**4 + n**3 - 2*n**2 - n + 1. Let d(p) = -4*p**4 + 55*p**3 + 353*p**2 + 187*p - 107. Let w(k) = -3*d(k) - 21*i(k). What is y in w(y) = 0?
-10, -1, 1/3
Suppose c - 4 = 10. Let a = -10 + c. Suppose 0 - 12*h**2 - 1 - h**a + 14*h**2 = 0. Calculate h.
-1, 1
Let h(t) be the third derivative of 4/21*t**3 + 1/28*t**4 - 1/30*t**5 + 0*t - 21*t**2 + 0. Solve h(w) = 0.
-4/7, 1
Suppose -6*o + 0*o + 10*o = 0. Let u(l) be the second derivative of -140/9*l**3 + 10*l + 245/36*l**4 + o + 40/3*l**2. Let u(w) = 0. What is w?
4/7
Let i(x) = -62*x - 124. Let j be i(-2). Let y(v) be the first derivative of -1/7*v**2 + 1/21*v**6 - 1 + j*v + 4/35*v**5 + 0*v**4 - 4/21*v**3. Factor y(w).
2*w*(w - 1)*(w + 1)**3/7
Let a(p) be the first derivative of 18 + 8*p + 49/2*p**2 + 9/4*p**4 + 26*p**3. Factor a(j).
(j + 8)*(3*j + 1)**2
Let m(t) be the first derivative of 0*t - 1/11*t**2 + 2/33*t**3 - 3. Determine i, given that m(i) = 0.
0, 1
Let w(l) = 2*l**3 - 4*l**2 + 2*l. Let j be w(2). Find z such that -9*z + 17*z**2 + 6*z**3 + 3*z**5 + 25*z**j + 25*z**2 - 21*z**4 - 19*z**4 - 27 = 0.
-1, 1, 3
Let s(m) be the first derivative of -m**4/12 + m**2/2 + 29*m - 15. Let n(g) be the first derivative of s(g). Suppose n(w) = 0. What is w?
-1, 1
Suppose 5*o = -4*f + f + 20, 4*f = -3*o + 12. Let y(u) be the first derivative of 1/10*u**2 + 0*u**o + 0*u - 7 - 4/25*u**5 + 1/5*u**3. Factor y(m).
-m*(m - 1)*(2*m + 1)**2/5
Determine n, given that 90/7*n - 92/7 + 2/7*n**2 = 0.
-46, 1
Let x = -2822/81 - -14/81. Let a = x + 35. Find o, given that 0*o**2 + o + 2/3 - a*o**3 = 0.
-1, 2
Let p be ((-10)/(-3))/5*6. Suppose p*w - i - 9 = 0, 3*i + 21 = 2*w + 8*i. Factor 4*m + 3*m**w - 7*m**3 + 2*m - 2*m.
-4*m*(m - 1)*(m + 1)
Factor 27/4 + 13/4*w**2 - 1/4*w**3 - 39/4*w.
-(w - 9)*(w - 3)*(w - 1)/4
Let a = 1374/2527 - -10/361. Factor -a - 6/7*u - 2/7*u**2.
-2*(u + 1)*(u + 2)/7
Let p(z) be the first derivative of -18 - 17*z**2 + 18*z**2 - 48*z - 13*z**2 - z**3. Let p(n) = 0. Calculate n.
-4
Let y be ((-192)/42 - -4) + (-38)/(-42) + 1. Solve 0 - y*x - 2/3*x**2 = 0 for x.
-2, 0
Suppose 2*z - 15 = 7. Let j = 17 - z. Determine p so that -12 + j*p**3 + 3*p**4 + 6*p**3 + 15 + 18*p**2 + 12*p = 0.
-1
Let a(t) be the first derivative of t**7/84 + t**6/15 + 3*t**5/20 + t**4/6 + t**3/12 - 13*t + 7. Let y(h) be the first derivative of a(h). Factor y(n).
n*(n + 1)**4/2
Let l(m) be the first derivative of -5*m**3/9 - 4*m**2/3 + 4*m/3 + 115. Let l(t) = 0. Calculate t.
-2, 2/5
Factor 32*g + 28 + 24*g**3 - 25 + 1 + 52*g**2.
4*(g + 1)**2*(6*g + 1)
Suppose -4*t - 3 = -5*b, 7*t + b - 6 = 6*t. Find g such that 0*g - 3/4*g**5 - 15/4*g**3 + 0 + 3/2*g**2 + t*g**4 = 0.
0, 1, 2
Let a(u) be the second derivative of u**7/21 + u**6/45 - 11*u**5/10 + 43*u**4/18 - 2*u**3/3 - 8*u**2/3 - 82*u. Solve a(v) = 0.
-4, -1/3, 1, 2
Let a be (0 + 0)*(-139)/(-1251). Solve a*o + 3/5*o**3 - 3/5*o**2 + 0 = 0 for o.
0, 1
Factor -111*v + 9/7*v**2 + 258/7.
3*(v - 86)*(3*v - 1)/7
Let s(v) be the third derivative of -125*v**8/336 + 65*v**7/21 - 109*v**6/24 - 13*v**5 - 15*v**4/2 + 80*v**2 - v. Factor s(d).
-5*d*(d - 3)**2*(5*d + 2)**2
Let h(t) = 9*t**5 + 9*t**4 - 9*t**3 - 21*t**2 - 12. Let s(f) = f**5 - f**3 - 2. Let n(d) = -h(d) + 12*s(d). Let n(q) = 0. Calculate q.
-1, 1, 2
Factor -93*f**2 - 8*f**3 + f**4 + 17*f**3 + 101*f**2.
f**2*(f + 1)*(f + 8)
Let o be 4/6*(-9)/(-2). Let r = -3 - -7. Factor -6*y**2 + 17*y**2 - 8*y**2 - o*y**3 - y + y**r.
y*(y - 1)**3
Let t(g) be the third derivative of -g**7/35 - 7*g**6/40 + g**5/5 + 2*g**2 + 4*g. Let 