- 1)**2*(y + 1)/2
Let n(b) be the third derivative of -b**6/360 - 7*b**5/180 - b**4/18 + 2*b**3/3 - 3*b**2 - 2. Suppose n(g) = 0. Calculate g.
-6, -2, 1
Let f(j) be the first derivative of 19*j**4 - 68*j**3/3 - 4*j**2 + 44. Factor f(i).
4*i*(i - 1)*(19*i + 2)
Let k(y) be the first derivative of -y**3/2 + 9*y**2/4 + 194. Find q, given that k(q) = 0.
0, 3
Let q(a) be the second derivative of a**7/14 - a**6/10 - 33*a**5/10 - 11*a**4 - 12*a**3 + 8*a + 16. Determine z, given that q(z) = 0.
-2, -1, 0, 6
Let q be 57/(-171) - (88/(-126) - (-2)/9). Factor -q*n**2 + 3/7 + 2/7*n.
-(n - 3)*(n + 1)/7
Let i be (-2)/2 + 0 + 28. Let n = 37 - i. Suppose -n*s + 23 - 7*s**2 + 9 - 4*s**3 - 38*s + 31*s**2 = 0. What is s?
2
Factor 0*c + 0 + 2/3*c**5 - 46*c**3 - 40/3*c**4 + 0*c**2.
2*c**3*(c - 23)*(c + 3)/3
Let t(b) = -5*b**2 - 6*b**2 + 67 + b**3 - 64 - 2*b**3. Let c be t(-11). Let -c*i**2 - 6*i**2 + 4*i**2 - 5*i**3 = 0. Calculate i.
-1, 0
Suppose r = -4*j + 12, 3*r - 9 = -3*j + 8*r. Let -45*y + 16*y + 5*y**j - 6*y + 30 = 0. What is y?
-3, 1, 2
Let d(u) = -4*u**2 + 1. Let g(l) = -7*l**2 + 3. Let s(h) = 10*d(h) - 6*g(h). Determine w so that s(w) = 0.
-2, 2
Let y(b) = -b**3 + 4*b**2 + 2*b - 2. Let p be y(2). Suppose p = 6*u - 2. Find k such that 44*k**2 - 4*k - 43*k**u + 5*k - 4*k = 0.
0, 3
Let t(j) be the second derivative of -j**7/42 + j**6/12 - j**5/12 - 11*j**2/2 + 19*j. Let h(w) be the first derivative of t(w). Factor h(p).
-5*p**2*(p - 1)**2
Let w(d) be the third derivative of -d**5/12 - 11*d**4/24 - d**3/3 - 3*d**2 - 3*d. Find x, given that w(x) = 0.
-2, -1/5
Solve 3 + 367*k**2 - 3 + 718*k + 634*k - 471*k**2 + 2*k**3 = 0.
0, 26
Find j, given that 8*j + 2/7*j**2 + 56 = 0.
-14
Let s(r) be the first derivative of -7/2*r**3 - 27/4*r**2 - 3*r - 17. Factor s(n).
-3*(n + 1)*(7*n + 2)/2
Suppose -2*y**2 + 4*y**3 + 12*y**4 + 12*y**4 + 17*y**4 - 4*y - 39*y**4 = 0. Calculate y.
-2, -1, 0, 1
Let l(f) = 5*f + 75. Let a be l(-15). Suppose 0*b = 2*b - 34. What is h in 2*h - 6*h**5 + a*h - 5*h + b*h**4 - 14*h**3 - 1 + 7*h = 0?
-1/2, 1/3, 1
Suppose 2/3*p**4 - 2/5*p**3 + 8/5 + 16/15*p - 2/15*p**5 - 26/15*p**2 = 0. What is p?
-1, 2, 3
Let o(t) be the third derivative of t**5/90 + 25*t**4/36 - 26*t**3/9 - 76*t**2 - 1. Factor o(i).
2*(i - 1)*(i + 26)/3
Let a(x) = 3*x**2 + 14*x - 3. Let g be a(-7). Let d = -46 + g. Factor 8/7*z + 4/7*z**2 + d.
4*z*(z + 2)/7
Let o(s) be the second derivative of -s**6/24 - 7*s**5/12 + 25*s**4/24 + s**3/6 - 22*s. Let p(t) be the second derivative of o(t). Factor p(w).
-5*(w + 5)*(3*w - 1)
Let i = -4563 + 22816/5. Let 3/5*p - 1/5 + i*p**3 - 3/5*p**2 = 0. Calculate p.
1
Let v(n) be the third derivative of n**7/840 - 7*n**6/480 - 7*n**5/120 + n**4/2 - 300*n**2. Determine r, given that v(r) = 0.
-3, 0, 2, 8
Let y(x) be the second derivative of -9*x + 6*x**2 - 2*x**3 + 0 + 1/4*x**4. Let y(h) = 0. What is h?
2
Let z(r) be the third derivative of -r**9/80640 + r**8/40320 + r**7/6720 - r**6/1440 - r**5/20 - 7*r**2. Let d(n) be the third derivative of z(n). Factor d(y).
-(y - 1)*(y + 1)*(3*y - 2)/4
Suppose 3*c - 5 - 4 = 0. Factor r**2 - 7*r**2 - 5*r**c + r**2.
-5*r**2*(r + 1)
Let g = -4/19 + 39/95. Let r(p) be the first derivative of 3/5*p + 1 + 3/5*p**2 + g*p**3. Factor r(d).
3*(d + 1)**2/5
What is p in 4/21*p**2 + 2/21*p**4 - 2/7*p**3 + 0*p + 0 = 0?
0, 1, 2
Let a = -51 + 53. Factor -3*f**a + f + 8*f**2 + 9*f + 5.
5*(f + 1)**2
Let w(p) be the second derivative of -2*p + 0*p**5 + 0*p**2 + 1/9*p**4 - 1/63*p**7 - 11 - 2/45*p**6 + 1/9*p**3. Let w(f) = 0. Calculate f.
-1, 0, 1
Let c be (11/(-66))/(27/(-12)). Let a(o) be the first derivative of 9 - 1/9*o**2 - c*o**3 + 0*o. Factor a(p).
-2*p*(p + 1)/9
Let k(p) = -p**2 + 10*p - 16. Let w be k(8). Let g(j) be the third derivative of 0 + 3*j**2 + 2/3*j**3 + w*j - 1/30*j**5 - 1/12*j**4. Solve g(u) = 0 for u.
-2, 1
Let q(m) = -m**2 + m. Let s(k) = k**2 - 5*k + 4. Let n(b) = -2*q(b) - s(b). Factor n(y).
(y - 1)*(y + 4)
Let y(h) be the second derivative of 0*h**4 - 2*h**2 + h**3 - 1/10*h**5 + 0 + 7*h. Solve y(x) = 0.
-2, 1
Let w be ((-3)/(-2))/((-25)/(-50)). Let -x + 5*x**2 - w*x + 9*x = 0. Calculate x.
-1, 0
Let v(m) be the third derivative of -m**5/105 + m**4/14 - 4*m**3/21 - 578*m**2. Determine y so that v(y) = 0.
1, 2
Let l(g) be the first derivative of -10 + 2/5*g**3 + 1/10*g**4 - 2/25*g**5 - 1/5*g**2 - 4/5*g. Find x such that l(x) = 0.
-1, 1, 2
Suppose 19*g - 27*g = 0. Let k(b) be the third derivative of 0*b**4 - 7*b**2 + 0*b**3 - 1/600*b**6 - 1/150*b**5 + g*b + 0. Factor k(r).
-r**2*(r + 2)/5
Let x(r) = r**3 - 3*r + 1. Let t = -12 - -14. Let w be x(t). Find f, given that 23*f**3 + w*f**5 - 4*f**4 + 16*f**4 - 11*f**3 + 0*f**5 = 0.
-2, 0
Let f(t) be the first derivative of -2*t**5/15 + 17*t**4/6 - 14*t**3 - 27*t**2 - 162. Solve f(w) = 0.
-1, 0, 9
Factor 2/7*a**5 + 8/7*a + 0 - 24/7*a**2 - 12/7*a**4 + 26/7*a**3.
2*a*(a - 2)**2*(a - 1)**2/7
Let r be (6/(-14))/(2/(-14)). Factor -l**2 + 4*l**2 - 3*l**3 + 6*l**3 + r*l - 9*l**2.
3*l*(l - 1)**2
Find f such that 5*f**5 - 12*f + 14*f**3 - 6*f**5 + 6*f**4 - 38*f**3 + 9*f**5 - 34*f**2 = 0.
-1, -3/4, 0, 2
Let i = 7936 - 7936. Determine s so that i - 1/2*s - 1/2*s**2 = 0.
-1, 0
Let m(w) be the first derivative of -2*w**5/25 + 2*w**4/5 - 2*w**3/3 + 2*w**2/5 - 40. Find k such that m(k) = 0.
0, 1, 2
Let f = 159 + -194. Let o be -3*(14/f)/(18/75). Solve 20/11*r**3 - 6/11*r**o + 4/11 + 2/11*r - 24/11*r**2 + 4/11*r**4 = 0 for r.
-2, -1/3, 1
Let m(v) be the first derivative of v**7/2520 - v**6/360 + v**4/18 + v**3 - 6. Let g(r) be the third derivative of m(r). Factor g(w).
(w - 2)**2*(w + 1)/3
Let p(f) = -6*f**3 - 58*f**2 + 98*f - 42. Let i(o) = 14*o**3 + 117*o**2 - 195*o + 82. Let x(w) = 4*i(w) + 9*p(w). Factor x(s).
2*(s - 25)*(s - 1)**2
Let b be (1 - (-2)/(-8))*20. Let j = b - 13. Factor 2*a - 8 - 20*a - 10*a**2 + 2*a - j*a**3.
-2*(a + 1)*(a + 2)**2
Let n(d) be the first derivative of -2*d**4/13 + 3*d**2/13 - 2*d/13 + 31. Solve n(s) = 0.
-1, 1/2
Let j(r) be the first derivative of -r**4/48 + 7*r**3/12 - 49*r**2/8 - 8*r + 4. Let k(x) be the first derivative of j(x). Solve k(a) = 0 for a.
7
Solve 24/13 - 2/13*j**3 - 4/13*j**2 + 22/13*j = 0 for j.
-4, -1, 3
Let d(w) be the first derivative of -1/16*w**4 - 10 + 0*w - 1/6*w**3 + 0*w**2. Solve d(k) = 0 for k.
-2, 0
Let f be 6/(126/28 - -3). Determine c, given that 0 - f*c**2 + 12/5*c = 0.
0, 3
Let m(f) = -f**2 + 12*f + 1. Let k(d) = d**3 - 2*d**2 + 3. Let w be k(3). Let b be m(w). Solve -6*a + b + 2 + 2*a**2 + 1 = 0.
1, 2
Suppose -23 = 2*l - 3*n, 3*l + 5 = n - 12. Let u(q) = -q**2 - q + 1. Let p(t) = 6*t**2 + 44*t + 196. Let j(v) = l*u(v) - p(v). Suppose j(f) = 0. What is f?
-10
Let r(x) be the second derivative of -5*x**6/72 + x**5/6 + 5*x**4/24 - 5*x**3/3 - 4*x. Let y(j) be the second derivative of r(j). Factor y(n).
-5*(n - 1)*(5*n + 1)
Let b(q) = -q**5 + q**4 - q**3 + q**2 - q. Let z(s) = s**5 - 41*s**4 + 53*s**3 + 27*s**2 - 69*s + 24. Let u(g) = -10*b(g) + 2*z(g). Let u(d) = 0. Calculate d.
-1, 2/3, 1, 6
Suppose -108 + 1632/5*z - 1251/5*z**2 + 27/5*z**3 = 0. What is z?
2/3, 45
Let t(h) be the third derivative of -45*h**2 + 13/9*h**4 + 0 + 0*h - 8/9*h**3 + 77/45*h**5 - 121/20*h**6. Suppose t(u) = 0. What is u?
-2/9, 2/11
Let q(p) be the second derivative of -22*p + 0*p**2 - 1/16*p**4 + 0 + 0*p**3. Factor q(t).
-3*t**2/4
Let l(h) = h + 6. Let f be l(6). What is c in -f*c**2 + 3*c**3 + 11*c - 7*c + 8*c = 0?
0, 2
Let y be 32/15 - 4/30. Let a(v) be the first derivative of -7/39*v**6 - 20/13*v**y + 3 + 68/39*v**3 - 16/13*v + 17/26*v**4 - 32/65*v**5. What is k in a(k) = 0?
-2, -2/7, 1
Let i(d) be the third derivative of 0*d**3 + 0*d**5 - 1/120*d**6 - 22*d**2 + 1/24*d**4 + 0 + 0*d. Find z, given that i(z) = 0.
-1, 0, 1
Let p = 3067/10661 - 3/1523. Let p*c**3 + 0*c**2 - 4/7 - 6/7*c = 0. Calculate c.
-1, 2
Let o(h) be the third derivative of h**7/630 - h**6/20 + 25*h**4/24 + 11*h**2 - 1. Let a(b) be the second derivative of o(b). Find j such that a(j) = 0.
0, 9
Let r(z) be the first derivative of -2/7*z - 2/7*z**2 - 2/21*z**3 - 25. Factor r(m).
-2*(m + 1)**2/7
Let z(u) be the first derivative of u**5/30 + u**4/8 - u**3/6 - 11*u**2/12 - u + 6. Factor z(d).
(d - 2)*(d + 1)**2*(d + 3)/6
Let d(g) be the second derivative of g**4/6 + g**3/6 - 2*g**