(2*u + 3)
Let w = -1105893/35 - -31597. Let u(r) be the third derivative of -7*r**2 + 0 + w*r**6 + 15/8*r**4 + 18/35*r**5 + 0*r + 25/7*r**3. Factor u(n).
3*(n + 2)*(4*n + 5)**2/7
Let j = 207 + -202. Suppose -j*c + 22 = f - c, -f - 3 = -c. Factor 0*g**f + 0 + 0*g + 1/3*g**3.
g**3/3
Factor -27/4*n - 3/4*n**2 + 27.
-3*(n - 3)*(n + 12)/4
Determine f, given that -176 + 448*f + 25/2*f**3 - 295*f**2 = 0.
4/5, 22
Let r(c) = -c**3 - c - 1. Let d(h) = -13*h**3 - h**2 - 4*h - 4. Suppose -t + 19 = -21. Let o be (2 - 5)*t/30. Let q(l) = o*r(l) + d(l). Factor q(x).
-x**2*(9*x + 1)
Let w be (-314 - 2) + 48/(-6). Let a = 2274/7 + w. Solve -a*j + 0 + 3/7*j**2 = 0 for j.
0, 2
Determine t, given that 1043915*t**2 - 8588592 - 8527680*t - 1688955*t**2 - 297900*t**3 - 4*t**5 + 2220*t**4 - 2157020*t**2 = 0.
-3, 282
Let t be (33 - (-3670)/(-110))*(-88)/16. What is z in -2/11*z**t + 32/11*z - 56/11 = 0?
2, 14
Let b(q) be the third derivative of 1/70*q**5 - 182*q**2 + 0 + 1/1176*q**8 + 1/60*q**6 + 1/147*q**7 + 0*q**4 + 0*q**3 + 0*q. Solve b(o) = 0 for o.
-3, -1, 0
Let h(v) = -5*v**3 - 179*v**2 - 1194*v + 110. Let t be h(-9). Find w such that -13/2*w**t + 17/4 + 15/8*w + 3/8*w**3 = 0.
-2/3, 1, 17
Let p(o) be the second derivative of o**9/3024 - 3*o**8/448 + o**7/21 - 5*o**6/36 + 20*o**4/3 - 32*o. Let l(d) be the third derivative of p(d). Factor l(u).
5*u*(u - 5)*(u - 2)**2
Suppose 778*v = 8523 + 813. Let -6/7*b**2 + v - 122/7*b = 0. What is b?
-21, 2/3
Let w(v) be the first derivative of -1/50*v**6 + 0*v**3 - 25 - 1/5*v**4 - 38*v + 3/25*v**5 + 0*v**2. Let c(q) be the first derivative of w(q). Factor c(s).
-3*s**2*(s - 2)**2/5
Let t(z) be the third derivative of z**6/20 + 33*z**5/20 + 15*z**4/8 - 8*z**3 - z**2 + 295. Factor t(v).
3*(v + 1)*(v + 16)*(2*v - 1)
Factor 285*k + 0*k**3 - 180 - 82*k**2 - 234 + 121*k**2 + k**3 - 91*k**2.
(k - 46)*(k - 3)**2
Let t(z) be the second derivative of 2*z**7/21 - 6*z**6/5 + 7*z**5/5 + 3*z**4 - 16*z**3/3 - 1325*z. Factor t(k).
4*k*(k - 8)*(k - 1)**2*(k + 1)
Let m be (-198)/108*((-1830)/4 + 0). Let z = 840 - m. Determine l, given that -80 + 20*l - z*l**2 = 0.
8
Let i(w) = -w**3 + 189*w**2 - 8381*w + 909. Let t be i(72). Find z, given that -27/8*z**4 - 26100*z - t*z**2 - 807/4*z**3 + 6000 = 0.
-20, 2/9
Let n(j) be the second derivative of 43/42*j**4 + 9/70*j**5 - 8/7*j**2 - j + 26/21*j**3 + 4. Factor n(a).
2*(a + 1)*(a + 4)*(9*a - 2)/7
Suppose -7*t = -141 - 132. Factor t*k**2 - 40*k**2 - 2*k**3 + k**3 - 4*k + 2*k**3 + 4.
(k - 2)*(k - 1)*(k + 2)
Let n(x) be the first derivative of -9 + 2/39*x**3 + 14/13*x**2 + 0*x. Find y such that n(y) = 0.
-14, 0
Let m = 19017 + -114101/6. Let x(w) be the second derivative of 16/3*w**3 + 36*w - m*w**4 - 64*w**2 + 0. Factor x(p).
-2*(p - 8)**2
What is k in -54/7*k**2 + 78/7*k**3 - 18/7*k**4 + 72/7 - 78/7*k = 0?
-1, 1, 4/3, 3
Factor 1728000*o**2 - 8461*o**3 - 32049*o**5 + 16024*o**5 + 16024*o**5 - 34739*o**3 + 360*o**4.
-o**2*(o - 120)**3
Let m(t) be the third derivative of 7*t**5/12 - 5*t**4/12 - 25*t**3/6 + 564*t**2. Determine y, given that m(y) = 0.
-5/7, 1
Let d(o) = 2*o - 7. Let f(r) = 2*r - 7. Let p(s) = -6*d(s) + 4*f(s). Let l be p(3). Find g, given that 3*g**3 - 15*g**2 - 5 + 4*g**3 - 4*g - l*g**3 + 19*g = 0.
1
Let w(o) be the first derivative of -10*o**3/3 - 36*o**2 - 62*o - 206. What is b in w(b) = 0?
-31/5, -1
Let o(t) be the second derivative of -t**6/90 + 37*t**5/60 - t**4 + 827*t. Factor o(l).
-l**2*(l - 36)*(l - 1)/3
Let c(i) be the third derivative of i**7/1575 + 3*i**6/100 + 43*i**5/450 - 19*i**4/20 + 20*i**3/9 + 2636*i**2 - i + 1. What is d in c(d) = 0?
-25, -4, 1
Suppose -560*x + 1534*x - 487*x = 565*x - 312. Suppose 8/11*d + 14/11*d**x - 8/11 + 54/11*d**2 + 52/11*d**3 = 0. Calculate d.
-2, -1, 2/7
Suppose 6*v + 20 = 2. Let z be 17 + (v - (-10)/4)*0. Factor 5*o**4 + 5*o**3 - 9*o**5 - 5*o**2 + 21*o**5 - z*o**5.
-5*o**2*(o - 1)**2*(o + 1)
Let p = -4020 + 4022. Let b(o) be the first derivative of p*o**4 + 0*o**2 + 8/3*o**3 + 2/5*o**5 + 0*o - 8. Solve b(t) = 0.
-2, 0
Let n(q) be the first derivative of -3*q**8/560 - q**7/70 - q**6/120 + 20*q**3 + 23. Let s(c) be the third derivative of n(c). Find t such that s(t) = 0.
-1, -1/3, 0
Let i(x) be the third derivative of -x**6/2340 - 7*x**5/780 + 67*x**3/6 - x**2. Let j(v) be the first derivative of i(v). Suppose j(r) = 0. What is r?
-7, 0
Factor 131/4*s**2 + 467/4*s + 141/4 - 3/4*s**3.
-(s - 47)*(s + 3)*(3*s + 1)/4
Let l(c) = c**3 - 12*c**2 - c + 15. Let m be l(12). Factor -7*w + 6*w + m*w**3 - 48*w**2 + 48*w**2 + 2*w**4.
w*(w + 1)**2*(2*w - 1)
Let x(q) be the third derivative of q**6/1020 + 11*q**5/510 + 3*q**4/34 - 2*q**2 + 312*q. Determine t, given that x(t) = 0.
-9, -2, 0
Let c = 647 - 644. Let m = 119/261 + -1/87. Factor 16/9*v + 4/3*v**2 - m*v**4 - 8/9*v**c - 16/9.
-4*(v - 1)**2*(v + 2)**2/9
Let f(u) = -4*u**2 + 3176*u + 3198. Let x(s) = 4*s**2 - 3168*s - 3193. Let t(v) = -7*f(v) - 6*x(v). Factor t(d).
4*(d - 807)*(d + 1)
Let h(j) be the third derivative of 1/12*j**6 + 40*j**2 - 3/4*j**5 + 0*j**3 - 3*j - 15/4*j**4 + 0 + 1/42*j**7. Factor h(x).
5*x*(x - 3)*(x + 2)*(x + 3)
Let g be 57/(-95) + 18/5. Let k(d) = d**3 + d**2 - d - 1. Let m be k(g). Factor -29*c**2 - 43*c**2 - 4*c**4 - 92*c - m + 12*c - 28*c**3.
-4*(c + 1)*(c + 2)**3
Suppose 0 = 7*o - 1183 + 1141. Let d(h) be the third derivative of 0 - 1/70*h**7 + 0*h**3 + 1/20*h**5 + 1/60*h**o + 0*h - 14*h**2 - 1/12*h**4. Solve d(b) = 0.
-1, 0, 2/3, 1
Let p be 5/(12213/4602 - (216/52 - 4)). Factor 1/3*k**3 + 54 + 15*k - 16/3*k**p.
(k - 9)**2*(k + 2)/3
Let n(r) be the third derivative of -r**5/120 - 33*r**4/32 + 25*r**3/12 - 9*r**2 + 4*r - 25. Factor n(w).
-(w + 50)*(2*w - 1)/4
Let a(i) = 2*i**2 - 908*i - 914. Let b(v) = 6*v**2 - 2725*v - 2744. Let n(q) = 13*a(q) - 4*b(q). Factor n(c).
2*(c - 453)*(c + 1)
Factor -8/3*t**2 + 27 - 1/6*t**3 - 15/2*t.
-(t - 2)*(t + 9)**2/6
Let b(z) be the first derivative of -50/3*z**3 + 95 - 5*z**5 + 25/2*z**2 - 5*z + 25/2*z**4 + 5/6*z**6. Factor b(v).
5*(v - 1)**5
Suppose 0*g - g = -l - 4, 2*g = 3*l + 10. Determine u so that 15*u**g + 41*u + 5*u**2 - 30 + 74*u = 0.
-6, 1/4
Factor 9/2*g**2 - 3/2*g**3 + 0 + 0*g.
-3*g**2*(g - 3)/2
Factor 0 + 25/6*s**2 - 23/3*s - 1/6*s**3.
-s*(s - 23)*(s - 2)/6
Let f(y) be the first derivative of -43 + 47*y**3 - 105*y**2 - 21/4*y**4 - 72*y. Factor f(o).
-3*(o - 4)*(o - 3)*(7*o + 2)
Factor -6*f**3 + 2322*f**2 + 463684824 + 616443*f - 674976*f - 1738695*f + 0*f**3 + 5*f**3.
-(f - 774)**3
Let n(p) = p**5 - 2*p**4 - 2*p**3 - 3*p**2 - p + 1. Let a(v) = -4*v**4 + 31*v**3 - 25*v**2 - 57*v + 1. Let d(x) = -a(x) + n(x). Find b such that d(b) = 0.
-7, -1, 0, 2, 4
Let x = -171 + 187. Let 101 - 70 - 49 + 2*w**2 - x*w = 0. What is w?
-1, 9
Let h(y) be the third derivative of 0 - 1/4*y**5 + 21/2*y**3 + 4*y**4 + 0*y - 136*y**2. Factor h(w).
-3*(w - 7)*(5*w + 3)
Suppose 3*y + 3*x = 0, 7*y = 6*y - 4*x. Let w(o) be the first derivative of o**5 - 5 - 5/2*o**4 + y*o**2 + 0*o**3 + 0*o. Factor w(g).
5*g**3*(g - 2)
Suppose -5*a - l - 173 = -172, l + 1 = -4*a. Factor -1/2 + a*i + 1/2*i**2.
(i - 1)*(i + 1)/2
Let o(v) = 2*v**2 + 30*v + 63. Let d be o(-13). Let l(q) = -q**3 - q**2 + 28*q. Let h(c) = -3*c**3 - 2*c**2 + 84*c. Let a(r) = d*l(r) - 4*h(r). Factor a(b).
b*(b - 7)*(b + 4)
Suppose 2*b + 914 = 3*s + 930, 2 = -5*b - 3*s. Find f, given that -2*f + 17/3*f**b + 0 - 5/3*f**3 = 0.
0, 2/5, 3
Let m(l) = 2*l + 16. Let t be m(-7). Let a(o) = -o**2 - 15*o - 3. Let y be a(-7). What is x in 0*x**3 + 4*x**3 + y - 53 + 8*x**t = 0?
-2, 0
Suppose 346 + 2 = 151*b - 105. Factor -1/3*j**2 + 1/6*j + 1/3 - 1/6*j**b.
-(j - 1)*(j + 1)*(j + 2)/6
Let w be (14/525)/(11/55). Let y(d) be the second derivative of -w*d**3 + d - 1/30*d**4 + 0 - 1/5*d**2. Determine k so that y(k) = 0.
-1
Let d(l) be the first derivative of -10/11*l + 9 + 14/55*l**5 - 5/11*l**4 - 4/33*l**3 + l**2 - 1/33*l**6. Determine a so that d(a) = 0.
-1, 1, 5
Let f(u) be the second derivative of 3/110*u**5 + 0 + 0*u**2 - 1/55*u**6 + 3*u + 2/11*u**4 - 4/11*u**3. Suppose f(x) = 0. Calculate x.
-2, 0, 1, 2
Let q(v) = v**2 - 85*v + 1304. Let d be q(20). Let y(k) be the second derivative of -2/5*k**2 + 13/15*k**3 + 15*k + 0 - 1/5*k**d. Factor y(s).
-2*(s - 2)*(6*s - 1)/5
Factor -2056/23*q**3 - 135796744/23*q - 872494