*f - 274*f**2 + 137*f**2.
-4*f*(f + 8)*(7*f + 2)
Let z(p) be the second derivative of p**8/4480 + p**7/2016 + p**6/2880 - 61*p**4/12 + 6*p + 5. Let u(n) be the third derivative of z(n). Factor u(a).
a*(2*a + 1)*(3*a + 1)/4
Suppose 2*l - 6 = -2*i - 0*l, -6 = -2*i + 5*l. Factor 23 - i*m**2 - 23*m + 51*m + 26 - 13*m - 7.
-3*(m - 7)*(m + 2)
Let i(q) be the third derivative of -q**7/210 - 17*q**6/120 - q**5/5 + 17*q**4/6 + 32*q**3/3 + 2*q**2 + 280. Suppose i(x) = 0. Calculate x.
-16, -2, -1, 2
Let k be (-6 - 4401/(-39)) + 4/26. Suppose 110*t = k*t + 9. Factor -2*m + 1/2*m**t + 2*m**2 + 0 - 1/2*m**4.
-m*(m - 2)*(m - 1)*(m + 2)/2
Let -6/5*r**3 + 24/5*r - 16 - 2/5*r**4 + 28/5*r**2 = 0. Calculate r.
-5, -2, 2
Let a be ((-50)/35)/((-8)/42). Let l(p) be the first derivative of -5/3*p**3 - 10*p + 13 + a*p**2. Factor l(b).
-5*(b - 2)*(b - 1)
Let x(s) = -80*s**2 - 31840*s + 63720. Let r(a) = -9*a**2 - 3538*a + 7080. Let b(k) = -35*r(k) + 4*x(k). Factor b(g).
-5*(g - 2)*(g + 708)
Let s(x) be the second derivative of -x**4/54 + 313*x**3/27 + 316*x**2/3 - 34*x - 84. Factor s(t).
-2*(t - 316)*(t + 3)/9
Let p(w) = 2*w**2 + w. Let a be -2 - 6/(-5 + -1). Let q(y) = 13*y**2 - 65*y - 20. Let k(s) = a*q(s) + 3*p(s). Solve k(v) = 0.
-2/7, 10
Suppose 4*o - 23 = -3*d, -3*o + 11 - 30 = -5*d. Factor -16 - 82*j**2 + 29*j**2 + 49*j**o + 20*j.
-4*(j - 4)*(j - 1)
Let d(l) be the first derivative of 2*l**5/25 - 6*l**4 + 454*l**3/15 - 168*l**2/5 - 5775. Factor d(a).
2*a*(a - 56)*(a - 3)*(a - 1)/5
Let s(a) = 18*a - 89. Let q be s(5). Let z(g) = -3*g**2 + 14*g + 9. Let k(p) = -p**2 + p + 1. Let o(j) = q*z(j) - 5*k(j). Let o(l) = 0. What is l?
-4, -1/2
What is a in -2/7*a**5 - 56*a**2 + 56*a**4 + 390/7*a - 388/7*a**3 + 0 = 0?
-1, 0, 1, 195
Let z(r) be the third derivative of 0*r + 10*r**2 + 0*r**4 + 1/84*r**8 - 1/30*r**6 - 2/105*r**7 + 0 + 0*r**3 + 1/15*r**5. Find q such that z(q) = 0.
-1, 0, 1
Let u be (6 + (-3 - 4))*-311. Let q = -619/2 + u. Factor 15/4*p - 9/8 + 27/8*p**2 - q*p**3.
-3*(p - 3)*(p + 1)*(4*p - 1)/8
Let z(o) = -3*o - 76. Let s be z(-28). Let i be 46/s - 6 - 9/(-4). Solve v + 0 + 5/2*v**i - 7/2*v**3 = 0.
-2/7, 0, 1
Let a(q) be the first derivative of 1/3*q**3 - 3*q + 36 - q**2. Suppose a(n) = 0. What is n?
-1, 3
Let i be 4*674/20 + (-52 - -47). Let c = i + -389/3. Determine p so that c*p**2 + 0 + 0*p - 2/15*p**4 + 0*p**3 = 0.
-1, 0, 1
Let b be 15/4*192/40. Let h(j) = -7*j**4 + 11*j**3 + j**2 + j - 9. Let q(x) = -x**4 + x**3 + x**2 + x - 1. Let v(a) = b*q(a) - 2*h(a). Factor v(m).
-4*m*(m - 2)*(m + 1)*(m + 2)
Let r(m) be the third derivative of -m**8/1008 + 2*m**7/315 + m**6/60 - 4*m**5/45 - 29*m**4/72 - 2*m**3/3 + 1558*m**2. Factor r(n).
-(n - 4)*(n - 3)*(n + 1)**3/3
Let g(z) be the third derivative of z**6/90 - 3*z**5/5 - 39*z**4/8 - 15*z**3 + z**2 + 4494. Factor g(r).
(r - 30)*(2*r + 3)**2/3
Let y(u) = u**2 - 1. Let n(v) be the third derivative of -v**5/10 - v**4/4 - 2*v**2 - 34. Let m(f) = -n(f) - 3*y(f). Let m(b) = 0. Calculate b.
-1
Let b(s) be the second derivative of -4 + 2*s + 0*s**3 + 1/12*s**4 + 0*s**5 + 1/168*s**7 + 0*s**2 - 1/40*s**6. Factor b(h).
h**2*(h - 2)**2*(h + 1)/4
Let k = 5272 - 5269. Let i(x) be the third derivative of -1/80*x**6 + 0*x**k - x**2 + 0 + 0*x + 3/40*x**5 - 1/8*x**4. Factor i(r).
-3*r*(r - 2)*(r - 1)/2
Factor 0*r - 224/5*r**4 + 0 - 4/5*r**5 + 0*r**2 + 464/5*r**3.
-4*r**3*(r - 2)*(r + 58)/5
Let s(g) be the third derivative of g**6/30 + 2074*g**5/5 + 2150738*g**4 + 17842522448*g**3/3 + 4*g**2 + 103*g - 4. Factor s(n).
4*(n + 2074)**3
Suppose -12*b - 3 = -9*b - 3*h, -b - 10 = -4*h. Let -134*r**b - 28*r**4 - 32*r - 32*r**3 - 44*r**3 + 270*r**2 = 0. What is r?
-4, 0, 2/7, 1
Let d(q) be the first derivative of -q**4/10 - 376*q**3/15 + 153*q**2 - 1152*q/5 + 1095. Factor d(a).
-2*(a - 3)*(a - 1)*(a + 192)/5
Suppose 334 = -515*b + 1050 + 829. Solve 38/7*v**2 + 10*v + 2/7*v**b + 34/7 = 0.
-17, -1
Let l be ((-130)/(-39))/(2/39). Suppose 8*y - l - 55 = 0. Let y*p**2 - 8 + 4*p + 0*p**2 - 5*p**2 - 4*p**3 - 2*p**2 = 0. What is p?
-1, 1, 2
Let j(q) be the third derivative of q**8/672 - 2129*q**7/420 - 2131*q**6/80 - 1279*q**5/24 - 533*q**4/12 - 8124*q**2. Determine u, given that j(u) = 0.
-1, 0, 2132
Let h(n) = 11*n + 104. Let u be h(-8). Factor -59 - 12*y**3 + 111 - u*y**2 - 3*y**4 - 12*y - 2*y**2 - 55.
-3*(y + 1)**4
Let m = 16 - 4. Suppose -m + 30 = 9*j. Factor -10 - 2/5*p**j - 4*p.
-2*(p + 5)**2/5
Let q = 2212 + -2208. Let a(o) be the third derivative of 0 + 1/6*o**6 + 5/6*o**q + 5/6*o**3 + 0*o + 17*o**2 + 1/2*o**5 + 1/42*o**7. Find n such that a(n) = 0.
-1
Let r(b) be the third derivative of 1/20*b**5 - b**3 - 3 + 0*b + 12*b**2 - 1/8*b**4. Factor r(q).
3*(q - 2)*(q + 1)
Let l(b) be the second derivative of -b**5/140 + 3*b**4/28 + b**3/2 + 17*b**2 + 77*b + 1. Let u(o) be the first derivative of l(o). Let u(i) = 0. Calculate i.
-1, 7
Let d(n) be the second derivative of -12*n + 5/6*n**3 + 5*n**2 + 1/6*n**6 - 1/4*n**5 - 5/4*n**4 + 6. Solve d(i) = 0 for i.
-1, 1, 2
Let n be 19 + -118 + 61 - -44. Let -1/4*v**3 - 4 - 9/4*v**2 - n*v = 0. What is v?
-4, -1
Let z(k) = -52*k**3 + 380*k**2 - 574*k. Let u(g) = -g**4 - 260*g**3 + 1898*g**2 - 2869*g. Let j(s) = -4*u(s) + 22*z(s). Determine b so that j(b) = 0.
0, 2, 12
Let w be (-1 + (-20)/(-16))*1. Suppose -5*y + 21 - 21 = 0. Factor 1/2*g**3 + 0 + 0*g**2 + 1/4*g**4 - w*g**5 + y*g.
-g**3*(g - 2)*(g + 1)/4
Let t(k) be the first derivative of k**4/2 - 34*k**3/3 + 33*k**2/2 - 12*k - 218. Let x be t(16). Factor 2/9*n**x + 0*n + 0 - 8/9*n**3 + 8/9*n**2.
2*n**2*(n - 2)**2/9
Suppose 0 = -s - u + 1128, -5*s - 18*u + 5624 = -17*u. Suppose 0 = s*i - 1116*i. Factor 0*m - 2/9*m**2 + i.
-2*m**2/9
Suppose -27*p + 18*p + 81 = 0. Let s be (-8)/36 - (-20)/p. Factor -o**s - 1/2*o**4 + 0 + 3/2*o**3 + 0*o.
-o**2*(o - 2)*(o - 1)/2
Suppose -u - 456 = u. Let w = u - -230. Factor -o - 2/3 - 1/3*o**w.
-(o + 1)*(o + 2)/3
Suppose 0 = -60*t + 59*t - 5. Let x(b) = b**3 + 6*b**2 + 4*b - 2. Let p be x(t). Factor 8*r**p + 2*r**3 + 96*r + r**5 - 101*r - 6*r**5.
-5*r*(r - 1)**2*(r + 1)**2
Let k(o) = 2*o**3 + 6*o**2 - 44*o + 42. Let d(s) = -5*s**3 - 10*s**2 + 89*s - 84. Let j(n) = -3*d(n) - 7*k(n). Factor j(r).
(r - 7)*(r - 3)*(r - 2)
Suppose 0 - 3530/3*a - 2/3*a**2 = 0. What is a?
-1765, 0
Let b = 910 - 942. Let h be (-56)/(-6) - (b + 41). Solve -h*a**2 + 0 - 5/3*a = 0.
-5, 0
Let a(d) = -d**3 + 9*d**2 + 2*d + 15. Let f be a(8). Suppose 11*i = 16*i - f. Factor -20*t**3 - 4*t - 14*t**5 + 19*t + 10*t**4 + i*t**5 - 10*t**2.
5*t*(t - 1)**2*(t + 1)*(t + 3)
Suppose -3*d + 2661 = 3*r, 8*d = 9*d - 2*r - 884. Let m = 2684/3 - d. Let 22*h**2 - 4*h**5 - m*h + 4/3 - 82/3*h**3 + 50/3*h**4 = 0. What is h?
1/2, 2/3, 1
Let y(c) be the second derivative of -c**5/120 + 55*c**4/36 + 337*c**3/36 + 113*c**2/6 - 1841*c. Factor y(p).
-(p - 113)*(p + 1)*(p + 2)/6
Suppose 12*u = 61 - 25. Suppose -35*q + 36*q = u. Suppose -3/4*o**2 - q + 3*o = 0. What is o?
2
Let n(l) = -49*l + 87. Let a be n(2). Let f be a/(726/12)*-11. Find b, given that -4*b - 6 - 2/3*b**f = 0.
-3
Let m = -1105 - -1125. Let s(z) be the second derivative of -6/7*z**3 + m*z + 0 + 1/28*z**4 + 54/7*z**2. Factor s(o).
3*(o - 6)**2/7
Suppose 15 = 3*m + a, -82*m - 15 = -79*m - 4*a. Factor -4/23 - 10/23*o - 8/23*o**2 - 2/23*o**m.
-2*(o + 1)**2*(o + 2)/23
Suppose -328 = 51*m - 133*m. Determine x, given that 0*x - 2/7*x**5 + 0 + 18/7*x**m - 30/7*x**3 + 2*x**2 = 0.
0, 1, 7
Let d be ((-3)/(-5))/((-2)/(-10)). Solve 0 + 8 - 15*o**2 + 22*o - 41*o - 10*o**3 - 6*o**3 + 25*o - d*o**4 = 0 for o.
-4, -1, 2/3
Let h = -77/2568 + 23/321. Let r(d) be the third derivative of h*d**6 - 15*d**2 + 10/3*d**3 - 35/24*d**4 + 1/6*d**5 + 0*d + 0. Factor r(w).
5*(w - 1)**2*(w + 4)
Suppose 37*o + 2*q + 11 = 40*o, -4*o - 4*q = -8. Let s = -12 - -14. Factor -8 - 9*r**s + 19 + 3*r**o - 3*r - 2.
3*(r - 3)*(r - 1)*(r + 1)
Let t(l) be the first derivative of 0*l**5 - 1/5*l**3 + 0*l + 2/5*l**6 + 0*l**2 - 9/20*l**4 - 108. Factor t(g).
3*g**2*(g - 1)*(2*g + 1)**2/5
Let v(y) be the second derivative of y**4/36 - 1586*y**3/9 + 1257698*y**2/3 - 5286*y. Factor v(i).
(i - 1586)**2/3
Let b(w) be the second derivative of -w**5/80 - w**4/12 + w**3/8 + 9*w**2/4 - 2*w - 36. Find y such that b(y) = 0.
-3, 2
Let k = -465 + 7771. Find f, given that -k