0*n**2 + 1/100*n**5. Let k(r) be the first derivative of y(r). Factor k(m).
m*(m - 1)*(m + 1)**2/5
Let f(l) = -23*l - 7. Let a be f(-5). Find b such that -8*b**2 - 8*b**2 - 2*b**2 + a - 36*b + 21*b**2 = 0.
6
Solve -105*p + 64*p**2 + 58*p**2 - 63*p + 72 - 31*p**3 + 2*p**4 + 3*p**3 = 0.
1, 6
Let k(o) be the second derivative of o**7/630 + 4*o**4/3 - 33*o. Let x(s) be the third derivative of k(s). Factor x(w).
4*w**2
Let s(j) be the second derivative of -j**4/30 - j**3/3 + 391*j. Factor s(u).
-2*u*(u + 5)/5
Let d(s) = -s - 1. Let t(u) = 4*u**2 - 8*u + 18. Let m(j) = -6*d(j) - t(j). Find n such that m(n) = 0.
3/2, 2
Factor 0 + 1/2*r**2 + 10*r.
r*(r + 20)/2
Let h(z) be the first derivative of z**3/4 + 279*z**2/4 + 25947*z/4 + 239. Find n such that h(n) = 0.
-93
Factor -12*h**3 - 23*h**3 + 159*h**4 - 5*h**5 - 119*h**4.
-5*h**3*(h - 7)*(h - 1)
Let v = -814 - -814. Suppose v*w**2 - 3/8*w + 0 + 3/8*w**3 = 0. What is w?
-1, 0, 1
Let u(h) be the first derivative of -h**4/4 - 7*h**3/2 + 12*h**2 + 19*h - 26. Let y(z) be the first derivative of u(z). Find a, given that y(a) = 0.
-8, 1
Let k(b) = 3*b**2 - 24*b + 2. Let r be k(0). Factor 4*f - 8 - 1/2*f**r.
-(f - 4)**2/2
Let k(q) be the first derivative of -4*q**3/9 - 74*q**2/3 - 93. Solve k(u) = 0 for u.
-37, 0
Let q(r) = 1 + 545*r + r**3 - 2 - 545*r - r**2. Let a(o) = o**3 - 6*o**2 - 2. Let f(b) = a(b) - 2*q(b). What is s in f(s) = 0?
-4, 0
Let b be (68/(-272) - (-5)/(-12))*-8. Suppose b*n - 58/9*n**2 + 2*n**3 - 8/9 = 0. What is n?
2/9, 1, 2
Let s(i) = i**5 - i**4 + i**2 + i. Let k(l) = -12*l**5 + 7*l**4 + 11*l**3 + 15*l**2 - 75*l + 32. Let g(a) = 2*k(a) + 22*s(a). Determine z, given that g(z) = 0.
-4, 1, 2
Let h(l) be the third derivative of -99/8*l**4 + 20*l**2 + 0*l - 21/20*l**5 - 1/40*l**6 + 1 + 121/2*l**3. Determine n, given that h(n) = 0.
-11, 1
Let a = 47218/5 + -9443. Determine h, given that -1/5*h**2 - 4/5*h - a = 0.
-3, -1
Factor 729/5*j**2 - 40*j**4 - 16/5*j**5 + 0 - 513/5*j**3 + 0*j.
-j**2*(j - 1)*(4*j + 27)**2/5
What is u in -21 + 17*u**2 + 18*u**3 - 3*u**4 - 18*u + 12 + 7*u**2 - 12 = 0?
-1, 1, 7
Let c be -5 + 565/81 + -2. Let q = 184/891 + c. Factor -12/11*p + q*p**2 + 18/11.
2*(p - 3)**2/11
Let u(p) = -p**3 - 2*p**2 - p. Let h be u(-2). Let r be 2/h + (-36)/84. Let -6/7*w**2 + r*w + 0 + 2/7*w**3 = 0. What is w?
0, 1, 2
Let k be (-1092)/(-280) - 2/(-20). Let h(j) be the first derivative of 6/7*j**3 + 54/7*j + 27/7*j**2 + 1/14*j**k - 4. Factor h(g).
2*(g + 3)**3/7
Let p(j) = j**3 - 5*j**2 - 3*j - 3. Let r be p(6). Let l be (-9)/(-15) - (-51)/r. Factor 0*q**5 + 3*q**2 - 18*q**l + 9*q**3 + 3*q**5 + 27*q**4.
3*q**2*(q + 1)**3
Factor 44*w - 5*w**3 - 23*w - 18 + 2*w**3.
-3*(w - 2)*(w - 1)*(w + 3)
Suppose -4 + 6 = a. Suppose -a*u + d = -6, 4*d = 4*u - 0*u - 12. What is b in -2/5*b**2 - 2/5*b + 4/5*b**u + 0 = 0?
-1/2, 0, 1
Suppose -13*v + 19*v + 1224 = 0. Let i be -2 + (-9)/(-4) + (-85)/v. Find b, given that 1/3*b**2 + i + b = 0.
-2, -1
Suppose -5*j = -3*j - 2*w + 2, w - 16 = -4*j. Let s(m) be the first derivative of -1 - 1 - 1 - 3*m**2 - m**j - 4. Find b such that s(b) = 0.
-2, 0
Suppose -22*i + 4 = -20*i. Suppose 3*g = -i*a + 15, 12 = a + 4*a - g. Factor 4*m**2 + 2*m**a - 6*m**3 - 20*m + 8 + 12*m**2.
-4*(m - 2)*(m - 1)**2
Suppose q + 4*q - 13 = s, -4*s = -5*q + 22. Factor 0*m**q - 3*m**2 - 10*m + 8*m**2.
5*m*(m - 2)
Suppose -l = 4*m - 55 - 137, 2*m + 5*l = 114. Suppose j - 51 = -m. Let 0*w + 1/2*w**3 - 3/4*w**j + 0 + 0*w**2 = 0. Calculate w.
0, 2/3
Find l such that 0*l**2 - 1/2*l**4 + 0*l + 0 + 1/2*l**5 + 0*l**3 = 0.
0, 1
Let s = 28 + -13. Determine w so that 9*w + 3 - s*w**4 - 3*w**2 + 3 + 12*w**4 - 9*w**3 = 0.
-2, -1, 1
Suppose 5*n + 10 = 0, 0 = -f + 5*n + 4 + 6. Let m = -11 + 11. What is z in -6*z**3 + z**4 + m*z - 3*z**4 + 4 + 6*z + f*z - 2*z**2 = 0?
-2, -1, 1
Let h(z) be the third derivative of 0*z - 1/330*z**5 - 1/66*z**4 + 0*z**3 + 0 - 7*z**2 + 1/660*z**6. Let h(c) = 0. What is c?
-1, 0, 2
Factor -3*s**3 - 3/5*s**4 + 0 - 6/5*s**2 + 24/5*s.
-3*s*(s - 1)*(s + 2)*(s + 4)/5
Solve 767 + 2*b**2 - 28*b - 1485 + 784 = 0.
3, 11
Suppose -2*v - 13 = -75. Suppose 0 = 5*u - 41 + v. Solve -4/17*q - 6/17*q**u + 0 - 2/17*q**3 = 0.
-2, -1, 0
Find g, given that 4/7*g + 12/7 - 3/7*g**2 - 1/7*g**3 = 0.
-3, -2, 2
Let t(h) be the third derivative of 9/20*h**3 - 1/1200*h**6 - 14*h**2 + 0*h + 0 - 9/80*h**4 + 3/200*h**5. Suppose t(v) = 0. Calculate v.
3
Let g(z) be the first derivative of -z**4/30 - 12*z**3/5 - 324*z**2/5 - 3888*z/5 - 607. Find u such that g(u) = 0.
-18
Solve 2/3*r**5 + 23/2*r**3 + 25/6*r - 14/3*r**4 + 0 - 35/3*r**2 = 0 for r.
0, 1, 5/2
Suppose 0 = b + 4*b + 5*s - 20, 0 = -5*s + 5. Solve -t**4 + 9*t**4 + 606*t**3 - 3*t**4 - 601*t**b = 0 for t.
-1, 0
Let w be (-3)/112*84/(-1080). Let v(s) be the third derivative of -w*s**6 + 0*s + 1/80*s**5 + 0 + 1/24*s**3 - 1/32*s**4 + 2*s**2. Factor v(z).
-(z - 1)**3/4
Let o(v) = -18*v**5 - 34*v**4 - 73*v**3 + v**2 + 70*v + 33. Let c(h) = -15*h**5 - 33*h**4 - 72*h**3 + 69*h + 33. Let y(z) = -7*c(z) + 6*o(z). Factor y(p).
-3*(p - 11)*(p - 1)*(p + 1)**3
Let g(f) be the first derivative of 4*f**3/3 - 366*f**2 + 76. Factor g(b).
4*b*(b - 183)
Let v(w) be the first derivative of w**6/120 - w**5/15 + w**4/24 + w**3 + 8*w**2 + 37. Let f(r) be the second derivative of v(r). Solve f(k) = 0 for k.
-1, 2, 3
Let f(l) = 6 + 36*l + 921*l**2 + 3*l**3 + 13 - 908*l**2. Let g(x) = 3*x**3 + 12*x**2 + 36*x + 18. Let b(z) = 6*f(z) - 5*g(z). Factor b(i).
3*(i + 2)**3
Let t(a) be the second derivative of -a**6/270 + a**5/36 + 11*a**4/108 - 11*a**3/18 + a**2 - 548*a. Factor t(s).
-(s - 6)*(s - 1)**2*(s + 3)/9
Let u(m) be the first derivative of 0 + m**4 - 1 + 4 + 0*m**4. Factor u(b).
4*b**3
Determine f so that -4/7*f**2 + 76/7*f + 80/7 = 0.
-1, 20
Let w be (48/15)/((-2254)/(-805)). Factor -w + 8/7*l + 2/7*l**2 - 2/7*l**3.
-2*(l - 2)*(l - 1)*(l + 2)/7
Let m(q) be the first derivative of -4*q**3/3 - 142*q**2 - 280*q - 410. Let m(r) = 0. What is r?
-70, -1
Solve -124*l - 15*l**2 + 20*l**2 + 132*l + 25205 - 298*l - 420*l = 0 for l.
71
Let n be 138/552*168/9. Factor n*s**2 + 46/9*s + 4/9.
2*(s + 1)*(21*s + 2)/9
Factor 15/7 - 12/7*d - 3/7*d**2.
-3*(d - 1)*(d + 5)/7
Factor -92 - 18 - 3755*h**2 - 65*h + 3750*h**2.
-5*(h + 2)*(h + 11)
Let m(c) be the second derivative of -5*c**7/42 + c**6/6 + 7*c**5/4 - 65*c**4/12 + 5*c**3 - 3*c + 19. Let m(w) = 0. What is w?
-3, 0, 1, 2
Let x(f) be the second derivative of f**6/15 - f**5/10 - 5*f**4/6 - f**3 - 111*f. Factor x(u).
2*u*(u - 3)*(u + 1)**2
Let z = 44217/70 + -1263/2. Let v(l) be the first derivative of 3 + 13/14*l**4 + 16/7*l - z*l**5 - 4/3*l**3 - 4/7*l**2. Find s, given that v(s) = 0.
-2/3, 1, 2
Let i = 13900 - 13900. Factor i + 0*t**3 + 3/2*t + 1/4*t**4 - 7/4*t**2.
t*(t - 2)*(t - 1)*(t + 3)/4
Let t(l) = 8 - 26 + l + 17 + 8. Let b be t(-5). Let -16/3*c - 8/3 + 10/3*c**b = 0. Calculate c.
-2/5, 2
Factor 32/13*d - 72/13 + 2/13*d**2.
2*(d - 2)*(d + 18)/13
Let p(u) = -2*u**3 - 7*u**2 - 11*u + 7. Let n(l) = -l**3 - 3*l**2 - 5*l + 3. Let o(f) = -13*n(f) + 6*p(f). Factor o(s).
(s - 3)*(s - 1)*(s + 1)
Let k(u) be the first derivative of -u**6/2 - 21*u**5/5 - 33*u**4/4 - 5*u**3 + 2. Factor k(l).
-3*l**2*(l + 1)**2*(l + 5)
Suppose 58 = 2*d + 4. Let a = 30 - d. Factor 18*v**3 + 0*v - a*v**3 + 3 - 15*v - 3*v**2.
3*(v - 1)*(v + 1)*(5*v - 1)
Let h(q) be the first derivative of -5*q**4/4 - 10*q**3 - 30*q**2 - 40*q - 31. Determine j, given that h(j) = 0.
-2
Let s(q) = -2*q**2 - q - 1. Let i(f) = 12*f**2 - 19*f + 45. Let h(m) = -i(m) - 5*s(m). Let j be h(10). Determine p so that 3/5*p + 3/5*p**3 + j + 6/5*p**2 = 0.
-1, 0
Find k, given that 53 - 42*k**3 + 22 + 45*k - 93*k**2 + 27*k**4 - 3*k**5 - 9*k**2 + 0*k**5 = 0.
-1, 1, 5
Find x such that 5*x - 1/2*x**2 + 11/2 = 0.
-1, 11
Let d(n) be the third derivative of n**8/336 - 11*n**7/420 + n**6/60 + 53*n**5/120 - n**4 - 3*n**3 - 200*n**2. Let d(x) = 0. Calculate x.
-2, -1/2, 2, 3
Suppose 2*t = -5*n + 6*t, -5*n - t + 25 = 0. Let b = 212/13 - 210/13. What is x in -2/13*x**2 + 2/13*x**n + 0 + 0*x + 2/13*x**5 - b*x**3 = 0?
-1, 0, 1
Let x(r) be the first derivative of -4*r**3/9 - 32*r**2 + 504. Solve x(y) = 0 for y.
-48, 0
Let l = 192 + -188. Let g(j) be the first derivative of 5 + 2/15*j**3 + 0*j**l - 1/5*j + 0*j**2 - 1/2