e third derivative of l**8/840 - l**7/525 - l**6/100 + l**5/150 + l**4/30 - 101*l**2 - 4*l. Let t(a) = 0. Calculate a.
-1, 0, 1, 2
Suppose -q - o = -2*o - 4, -4*q - 5*o = -7. Let u(p) = 5*p - 13. Let n be u(q). Solve 0 - 2/3*j**n + 2*j = 0 for j.
0, 3
Let f(a) = 7*a**2 - 7*a + 25. Let r(t) = 16*t**2 - 13*t + 50. Let o(x) = -14*f(x) + 6*r(x). What is q in o(q) = 0?
5
Factor 782 + 5*p**3 - 520 - 145*p**2 - 397 + 275*p.
5*(p - 27)*(p - 1)**2
Let u(g) be the first derivative of -4*g**5/15 - 67*g**4/6 + 68*g**3/9 - 79. What is y in u(y) = 0?
-34, 0, 1/2
Let l = -771 + 1543/2. Factor 0 + 0*z**2 - l*z**4 - 1/2*z**3 + 0*z.
-z**3*(z + 1)/2
Suppose -167*q = 208 - 1210. Let -16*p + q*p**2 + 32/3 - 2/3*p**3 = 0. What is p?
1, 4
Let d(s) be the third derivative of -1/6*s**4 + 0*s**3 + 4*s**2 - 1/30*s**5 - 1/168*s**8 + 0 + 1/20*s**6 + 0*s + 1/105*s**7. Suppose d(l) = 0. What is l?
-1, 0, 1, 2
Suppose 3*n - p = -6*p + 52, -62 = -4*n - 3*p. Factor 5*w**2 - 26*w - n*w + 125 - 10*w.
5*(w - 5)**2
Let k(w) be the second derivative of -w**9/22680 + w**8/5040 + w**7/3780 - w**6/540 - 5*w**4/6 + 40*w. Let b(d) be the third derivative of k(d). Solve b(l) = 0.
-1, 0, 1, 2
Let -2 + 2*f**2 + 1/3*f**3 - 1/3*f = 0. What is f?
-6, -1, 1
Let d be (-4)/30 + 3658/885. Let f(r) be the second derivative of 0 + 0*r**2 + 0*r**3 + 5*r - 1/12*r**d + 1/40*r**5. Find o, given that f(o) = 0.
0, 2
Let 2*z**4 + 1953*z**2 - 3582*z + 180*z**3 + 2*z**4 + 1466*z - 21*z**2 = 0. What is z?
-23, 0, 1
Suppose -3*z + 9 = 0, -343*x + 345*x - 2 = 2*z. Suppose -1/7*b + 0 + 16/7*b**5 + 8/7*b**2 - 15/7*b**3 - 8/7*b**x = 0. What is b?
-1, 0, 1/4, 1
Suppose -90 = -29*g + 11*g. Let k be 198/42 - g - -2. Find z such that 3/7*z**2 + k + 12/7*z = 0.
-2
Let n(v) be the first derivative of v**3/15 + 114*v**2/5 + 12996*v/5 + 300. Factor n(y).
(y + 114)**2/5
Let z(o) be the first derivative of 10 + o**3 + 9/2*o**2 + 0*o. Solve z(d) = 0 for d.
-3, 0
Let u be (-4 + 3)*3 - -21. Find f, given that -2 + u*f + f**2 - 7*f - 10*f = 0.
-2, 1
Let x = 80 - 78. Factor -33 - 6*t + 30 + t**x - 2*t + 2*t**2.
(t - 3)*(3*t + 1)
Solve -14/11*y**2 - 2/11*y**3 - 16/11 - 28/11*y = 0 for y.
-4, -2, -1
Let t(r) = 2*r**3 + 2*r**2 - 15*r + 9. Let g(l) = -l**3 - l**2. Suppose 5 = -5*f - 0*f. Let u(w) = f*t(w) + g(w). Find z, given that u(z) = 0.
-3, 1
Let i = -55 + 57. Let l be (-1)/1 + 3 - (-2416)/(-1359). What is r in l*r**3 + 2/3*r**i + 0*r + 0 = 0?
-3, 0
Let f(k) be the second derivative of 3*k**6/50 + k**5/4 - k**4/10 - 6*k**3/5 + 4*k**2/5 + 2*k + 23. Factor f(r).
(r - 1)*(r + 2)**2*(9*r - 2)/5
Let l(s) = -11*s**3 - 6*s**2 + 15*s + 10. Let t(n) = 65*n**3 + 35*n**2 - 90*n - 60. Let x(v) = 35*l(v) + 6*t(v). Factor x(i).
5*(i - 2)*(i + 1)**2
Let k = 317 - 317. Let o(i) be the second derivative of k*i**2 + 1/15*i**3 + 0 - 1/10*i**4 + 3*i + 3/50*i**5 - 1/75*i**6. Factor o(l).
-2*l*(l - 1)**3/5
Let f = -2462 - -4929/2. Factor -10*t**2 - f*t**3 - 5 - 25/2*t.
-5*(t + 1)**2*(t + 2)/2
Find s, given that 0*s - 12/5*s**2 - 8/5*s**3 + 0 = 0.
-3/2, 0
Let k be -7*(-1 + -2) + 0. Suppose -k = 3*m - 6*m. Let o(t) = 6*t**3 + 3*t**2 - 3*t. Let n(x) = 13*x**3 + 7*x**2 - 6*x. Let w(z) = m*o(z) - 3*n(z). Factor w(i).
3*i*(i - 1)*(i + 1)
Suppose -4*k - 3*z - 1 = -19, -5*k + 19 = 2*z. Suppose -b + 2*s = -s - 12, 3*b - s - 44 = 0. Factor -b*y**4 - 3*y**2 - y**3 + k*y**5 + 18*y**4 - 2*y**3.
3*y**2*(y - 1)*(y + 1)**2
Let d(o) = -o**3 + o**2 + o + 1. Let i(q) = -4*q**4 + 81*q**3 - 45*q**2 - 11*q - 11. Let c(f) = -22*d(f) - 2*i(f). Find h, given that c(h) = 0.
0, 1/2, 17
Let r(b) = -4*b**2 - 9*b. Suppose -30*m + 27*m + 9 = 0. Let n(g) = 20*g**2 + 44*g. Let u(w) = m*n(w) + 16*r(w). Let u(v) = 0. Calculate v.
-3, 0
Let y(x) be the second derivative of 2*x**6/135 - 26*x**5/15 + 169*x**4/3 + 499*x. Factor y(l).
4*l**2*(l - 39)**2/9
Suppose 17*j - 6*j = -8*j. Let a(b) be the first derivative of 1/12*b**4 + 8 - 1/3*b**3 - 1/3*b**2 + 1/18*b**6 + 1/5*b**5 + j*b. Solve a(r) = 0.
-2, -1, 0, 1
Suppose 0 = 5*y + 1 - 11. Let c be ((-16)/(-14) + 2/(-14))*y. Find z such that 5/4*z**c - 1/4*z**3 + 1 - 2*z = 0.
1, 2
Let y be (-91 - -94)/(4 - (-64)/(-20)). Solve -y - 21/8*g - 3/8*g**2 = 0 for g.
-5, -2
Suppose 19*q + 147 = 68*q. Suppose -8/15*l**2 + 2/5*l + 12/5 - 2/15*l**q = 0. Calculate l.
-3, 2
Let o(r) be the third derivative of -r**6/540 + 2*r**5/135 + 35*r**4/108 - 50*r**3/9 + 150*r**2. Factor o(c).
-2*(c - 5)**2*(c + 6)/9
Find y such that -34*y**4 - 422*y**2 + 38*y**4 + 390*y**2 + 28*y**3 = 0.
-8, 0, 1
Let m(y) be the third derivative of y**5/60 - y**4/12 - 5*y**3/6 - 2*y**2. Let s be m(4). Factor 4*i**s + 10*i - 8 - 25*i + 11*i + 8*i**2.
4*(i - 1)*(i + 1)*(i + 2)
Let z(o) be the first derivative of -o**5 - 5*o**4 + 5*o**3 + 25*o**2 - 40*o - 135. Solve z(c) = 0.
-4, -2, 1
Let i(x) = -x + 3. Let l(t) = 2. Let n(r) = 2*i(r) - 5*l(r). Let q be n(-2). What is v in -2*v - 2*v**2 + q*v**2 + 6*v - 4*v**3 + 2*v**4 = 0?
-1, 0, 1, 2
Let i = 567 + -561. Let l(y) be the third derivative of 1/30*y**i + 0*y + 1/3*y**5 + 8/3*y**3 + 4*y**2 + 0 + 4/3*y**4. Solve l(b) = 0.
-2, -1
Suppose 4/5*r - 2/5*r**2 - 2/5 = 0. What is r?
1
Suppose 28 = -y - y. Let c = -12 - y. Find u such that 12 - 12*u + 2*u**c + 2*u**2 - 4*u**2 + 3*u**2 = 0.
2
Let c = 14 - 28. Let g be 6/21 + (-24)/c. Find y, given that -2*y**3 + g*y**2 - 92 + 92 + 4*y = 0.
-1, 0, 2
Let w be -7 + (-17)/(663/(-143)) + 60/9. Factor 2 + w*l**2 + 2/3*l**3 + 14/3*l.
2*(l + 1)**2*(l + 3)/3
Let m(r) = 6*r**3 - 22*r**2 + 50*r - 54. Let t(p) = -4*p**3 + 2*p + 3*p**3 - p + 2*p**2 - p**2. Let i(k) = m(k) + 4*t(k). Determine g, given that i(g) = 0.
3
Let y(p) be the third derivative of p**5/510 + 53*p**4/204 + 2*p**3 - 87*p**2. Determine v so that y(v) = 0.
-51, -2
Let c(k) = -2*k**4 + 3*k**2 - 80 + 77 - 6*k - 4*k**2. Let w(p) = -p**4 + p**3 - p**2 - 5*p - 2. Let v(r) = 2*c(r) - 3*w(r). Suppose v(j) = 0. What is j?
-3, -1, 0, 1
Suppose -15*b - 429 + 2139 = 0. Suppose 21 = b*m - 107*m. Factor 0*q + 2/11*q**5 + 10/11*q**m + 4/11*q**2 + 0 + 8/11*q**4.
2*q**2*(q + 1)**2*(q + 2)/11
Suppose -5 = -4*s + 3. Factor -4*d**s - 19*d + 19*d + 8*d**3 - 4*d**4.
-4*d**2*(d - 1)**2
Let a be ((-19)/((-1235)/26))/(-1 - -3). Let a*k**3 - k**2 + 8/5*k - 4/5 = 0. What is k?
1, 2
Factor 0 - 2/3*a**2 + 62/3*a.
-2*a*(a - 31)/3
Let u(d) be the second derivative of -d**5/120 - d**4/4 - 3*d**3 - 2*d**2 - 5*d + 1. Let n(l) be the first derivative of u(l). Let n(t) = 0. What is t?
-6
Suppose 0 = 2*f - 2*s - 0 + 6, -2*s = f - 12. Suppose 0 = -3*i + 2*p + 4, 2*p + 0 = -i + 4. Factor z**2 + 2*z**i - z**f + 2*z - 4*z**2.
-2*z*(z - 1)
Let j(k) = 3*k**2 - 12. Let l be j(2). Let s(q) be the second derivative of -1/30*q**4 + l + 1/5*q**3 - 3*q - 2/5*q**2. What is v in s(v) = 0?
1, 2
Let f(n) = 4*n + 26. Let o be f(-6). Solve i**2 + 3*i - 3*i**2 + 4*i**o = 0 for i.
-3/2, 0
Let j(p) = -p**4 + 2*p**2 + p + 1. Let k(r) = -2*r**5 + 9*r**4 + 2*r**3 - 76*r**2 + 5*r + 77. Let i(c) = 5*j(c) - k(c). Find f such that i(f) = 0.
-2, -1, 1, 3, 6
Let y(a) be the third derivative of -1/96*a**4 + 0 + 0*a - 1/60*a**5 - 3*a**2 + 0*a**3. Let y(l) = 0. What is l?
-1/4, 0
Let q(d) be the first derivative of -2752*d**3 + 30 - 15*d**2 - 27*d + 2751*d**3 - 7. Let q(m) = 0. What is m?
-9, -1
Let k(z) be the first derivative of 5*z**3/3 - 13*z**2/2 + 6*z + 85. Solve k(s) = 0.
3/5, 2
Let b(o) be the third derivative of -o**8/168 - 11*o**7/105 + 13*o**6/30 - o**5/15 - 25*o**4/12 + 13*o**3/3 + 251*o**2. Determine t so that b(t) = 0.
-13, -1, 1
Let g(a) be the third derivative of a**8/50400 + a**7/3150 + a**6/600 - 2*a**5/15 - 12*a**2. Let k(x) be the third derivative of g(x). Factor k(p).
2*(p + 1)*(p + 3)/5
Let r be 11/(132/(-212)) - -18. Factor r*l + 2/3 - l**2.
-(l - 1)*(3*l + 2)/3
Suppose -6*w + 371 = -79. Let s be 45/w + 34/(-90). Factor 2/9 - s*d**2 + 8/9*d - 8/9*d**3.
-2*(d - 1)*(d + 1)*(4*d + 1)/9
Let k(d) be the first derivative of -d**7/420 + d**5/40 + d**4/24 - 11*d**2 - 40. Let l(s) be the second derivative of k(s). Factor l(u).
-u*(u - 2)*(u + 1)**2/2
Determine t so that 6 - 13/4*t + 1/8*t**2 = 0.
2, 24
Let k(l) = 115*l - 1033. Let y be k(9). Find t, given that 2/3 - 1/3*t**3 + 4/3*t**y - 5/3*t = 0.
1, 2
Let z(m) = -11*m**3 - 5*m**2 + 2*m. Let d(y) = -12*y**3 - 6*y**2 + 3*y. Suppose -69*n - 1