m - 1)
Factor -3*l - 516936*l**2 - 3*l**3 + 0*l + 516930*l**2.
-3*l*(l + 1)**2
Let k(d) = -107*d + 8 + 100*d + 7*d**3 - 2*d**2 - 11. Let v(q) = 3*q**3 - q**2 - 3*q - 1. Let o(x) = 2*k(x) - 5*v(x). Find h, given that o(h) = 0.
-1, 1
Let u(j) = -9*j + 287. Let v be u(31). Suppose -24*m - v*m = 23*m. Let m*y**2 + 0*y - 2/5*y**5 + 2/5*y**4 + 4/5*y**3 + 0 = 0. What is y?
-1, 0, 2
Let p be -2 - ((-12)/(-45)*21)/(7 - 9). Solve 96/5*d**2 + 4/5*d**3 + p*d**5 + 0 - 24/5*d**4 + 64/5*d = 0 for d.
-1, 0, 4
Suppose 14*r - 72 = 26*r. Let l(c) = 16*c + 99. Let n be l(r). Solve 56/3*z**n + 40/3*z**4 - 92/7*z**2 + 58/21*z - 4/21 - 150/7*z**5 = 0 for z.
-1, 1/5, 2/9, 1
Suppose 34 = 3*w - 5*v, v = 2*v + 5. Factor 8*t**3 - 12*t**3 + 4*t - 2*t**2 + 2*t**w.
-2*t*(t - 1)*(t + 2)
Let g = 82738 + -82736. Factor 31/2 + 15*b - 1/2*b**g.
-(b - 31)*(b + 1)/2
Let d(m) be the third derivative of 1/588*m**8 - 99*m**2 - 3/140*m**6 + 0*m**3 + 4/105*m**5 + 0*m - 1/49*m**7 + 0 + 0*m**4. Determine l, given that d(l) = 0.
-1, 0, 1/2, 8
Let o(r) be the third derivative of 9/20*r**5 - 1/210*r**7 + 1/30*r**6 + 0*r + 8/3*r**3 + 19/12*r**4 + 78*r**2 + 0. Find b, given that o(b) = 0.
-2, -1, 8
Let s be ((-39)/(-9))/((-2)/(-150)). Let o = -2924/9 + s. Suppose 5/9*m**2 + 1/3 + 7/9*m + o*m**3 = 0. Calculate m.
-3, -1
Let m = 3132 - 3132. Let i(o) be the second derivative of 1/10*o**3 + m + 1/20*o**4 + 0*o**2 - 21*o. Find z, given that i(z) = 0.
-1, 0
Find i, given that -181*i - 977*i**3 + 979*i**3 + 325*i**2 + 943*i**2 - 7481*i + 11520 = 0.
-640, 3
Let k(x) = 33*x**2 + 5*x + 16. Let c be k(-3). Determine z, given that 114*z**3 + 95*z**3 + 110*z**3 - 21*z + 30 - 3*z**4 - c*z**3 - 27*z**2 = 0.
-1, 1, 2, 5
Let q(d) be the third derivative of -d**8/1008 - d**7/35 - 8*d**6/45 + d**5/10 + 65*d**4/72 + 4*d**2 - 18*d + 24. Solve q(f) = 0 for f.
-13, -5, -1, 0, 1
Let z(u) = u**2 + 6*u - 3. Suppose 5*j + 8 = 7*j. Let g(h) = -2 - h**2 + 3 - j + 4. Let p(l) = -3*g(l) - z(l). Factor p(w).
2*w*(w - 3)
Factor -3 - 4*r**5 - 118*r - 576*r**3 + 120*r**4 + 3 + 118*r.
-4*r**3*(r - 24)*(r - 6)
Factor 864/7 + 741/7*s - 120/7*s**2 + 3/7*s**3.
3*(s - 32)*(s - 9)*(s + 1)/7
Factor 2/9*g**4 - 2/3*g**3 - 416/9*g + 0 - 76/3*g**2.
2*g*(g - 13)*(g + 2)*(g + 8)/9
Let r(g) = -24*g + 99. Let c be 9 - (-6 - -4 - -7). Let h be r(c). Factor 6/13*i**2 + 0 + 4/13*i + 2/13*i**h.
2*i*(i + 1)*(i + 2)/13
Let a(v) be the second derivative of -27*v**2 + 1/6*v**4 + 1 + 164*v - 26/3*v**3. Find p such that a(p) = 0.
-1, 27
Factor -3/4*i**2 - 264*i - 525.
-3*(i + 2)*(i + 350)/4
Let w(o) = o**2 + o + 1. Let n(u) = -u - 7. Let k be n(-6). Let g be -4 - (-1 + k + 2). Let t(l) = 36*l + 96. Let p(b) = g*w(b) - t(b). Factor p(r).
-4*(r + 5)**2
Let g(o) be the second derivative of -37*o + 25/4*o**3 + 5/3*o**4 - 5*o**2 + 0 - 15/8*o**5 - 1/3*o**6. Determine f so that g(f) = 0.
-4, -1, 1/4, 1
Solve -6*i**4 + 20*i - 1687*i**3 - 220*i**2 + 1322*i**3 - 119*i**4 = 0 for i.
-2, -1, 0, 2/25
Let d be 1/6*1179 - ((-21)/6 - 0). Let s(j) be the first derivative of 20*j**2 + 8 + d*j + 2/3*j**3. Factor s(x).
2*(x + 10)**2
Let r(j) be the third derivative of j**4/2 + 61*j**3/3 - j**2 + 61*j. Let l be r(-10). Solve 2 - 1/2*s**l + 3/2*s = 0 for s.
-1, 4
Let w(v) be the third derivative of -28*v**2 + 0 + 0*v + 40/3*v**4 + 1/30*v**6 - 128/3*v**3 - 17/15*v**5. Factor w(n).
4*(n - 8)**2*(n - 1)
Let n be (2/(-7))/((-11)/77). Let a be 1*3*1*(-8 + 14)/6. Factor 0 - 4/3*x - 14/3*x**n + 40/3*x**a - 22/3*x**4.
-2*x*(x - 1)**2*(11*x + 2)/3
Let q be (1524/(-1778))/(2/(-3)). Find u such that 5/7*u + q*u**5 + 3/7*u**4 - 2/7*u**2 - 1/7 - 2*u**3 = 0.
-1, 1/3, 1
Let d = -799612 - -799612. Solve 14/3*p + d + 1/3*p**2 = 0 for p.
-14, 0
Suppose -2 = w - 26. Let k be (-4)/2 + 8/(w/15). Find n such that 15*n + 12*n**k + 17*n**3 - 12*n**2 - 6 - 26*n**3 = 0.
1, 2
Let z(q) = -q**3 - 5*q**2 + 12*q - 7. Let h be z(-7). Let u be (8/h)/(6/21). Factor -9*n**3 + 15*n**3 - 2*n**2 + 14*n**2 + n**u - 8*n - 12*n**3.
n*(n - 2)**3
Let l = -16413 + 16417. Let x(b) be the first derivative of 1/5*b**2 + 11/15*b**3 + 1/6*b**6 + 0*b + 21/20*b**l + 12 + 17/25*b**5. Factor x(n).
n*(n + 1)**3*(5*n + 2)/5
Let b(z) = -17*z**2 - z + 46. Let k(j) = 20*j**2 - 48. Let u(l) = 6*b(l) + 5*k(l). Solve u(s) = 0.
-6, 3
Let x(k) be the third derivative of -35*k**8/288 + k**7/18 + 377*k**6/144 + 11*k**5/4 - 45*k**4/4 - 30*k**3 - 6733*k**2. What is w in x(w) = 0?
-2, -6/7, 1, 3
Let b(v) = -7*v**2 + 499*v + 202. Let p(x) = 5*x**2 - 249*x - 102. Let c(m) = 3*b(m) + 7*p(m). Factor c(u).
2*(u - 18)*(7*u + 3)
Factor 2771/5*i - 693/5 + 4/5*i**2.
(i + 693)*(4*i - 1)/5
Suppose -p + 4*u = -51, -7*p + 4652*u = 4647*u - 81. Factor 12*i + 0 - 9/2*i**p + 3/2*i**4 - 9*i**2.
3*i*(i - 4)*(i - 1)*(i + 2)/2
Let r(f) be the first derivative of -f**5 + 135*f**4/4 - 380*f**3 + 1960*f**2 - 4800*f + 740. Let r(x) = 0. Calculate x.
4, 15
Let k(y) be the third derivative of y**5/20 + 57*y**4/4 + 112*y**3 - 1281*y**2. Determine u so that k(u) = 0.
-112, -2
Suppose 0 = -5*c - x + 20, -2*x = 3*c + x. Suppose 5*r - 4*l - 35 = 0, c*r - 5 = -3*l + l. Factor -106*o**r - 2*o - 1 - 1 + 107*o**3 - 4*o**2 + 7*o.
(o - 2)*(o - 1)**2
Let h = -267583/15 + 89196/5. Let n = -2/141 + 32/47. Factor 8/3*a**3 + n*a**2 - 7/3*a + 2/3*a**4 - h*a**5 - 4/3.
-(a - 4)*(a - 1)*(a + 1)**3/3
Let g(r) be the first derivative of -r**6/144 + r**5/8 + 35*r**4/48 - 128*r**3/3 + 109. Let p(b) be the third derivative of g(b). Factor p(i).
-5*(i - 7)*(i + 1)/2
Let u(a) be the third derivative of -a**9/30240 + a**8/2520 + a**7/2520 - a**6/90 - 13*a**5/60 - 79*a**2. Let q(j) be the third derivative of u(j). Factor q(h).
-2*(h - 4)*(h - 1)*(h + 1)
Let -3*v**2 - 14 - v**2 - 31 - 8188*v + 45 = 0. What is v?
-2047, 0
Suppose 0 = 41*j + 15 - 138. Factor 32*m**2 - 4*m**4 + 46*m - j*m**3 - 94*m + 7*m**3.
-4*m*(m - 2)**2*(m + 3)
Find n such that 40*n**3 - 40*n - 67*n**3 + 12*n**2 + 31*n**3 = 0.
-5, 0, 2
Factor -28841*c**3 + 14429*c**3 - 410*c**2 - 208 - 582 + 14417*c**3 + 1195*c.
5*(c - 79)*(c - 2)*(c - 1)
Let j = -192 + 354. Factor 19*k + 4*k + 2*k**3 - k**3 + 16*k**2 + 20*k - j + 2*k.
(k - 2)*(k + 9)**2
Let k(r) be the third derivative of r**5/15 - 173*r**4/3 - 694*r**3/3 + 2341*r**2. Determine c so that k(c) = 0.
-1, 347
Suppose -2*p = -h + 6, 18 = 2*p - 3*p + 3*h. Let x(o) be the first derivative of o**3 - 6 + p*o**2 - 3/4*o**4 + 0*o. Factor x(l).
-3*l**2*(l - 1)
Let r(w) be the second derivative of -3*w**5/5 + 3*w**4/8 + 29*w**3/36 - 5*w**2/6 - 4*w - 39. Let r(d) = 0. Calculate d.
-5/8, 1/3, 2/3
Let v be 20416/660 + (-2)/(-30). Let p(m) be the second derivative of 2/45*m**3 + v*m + 0 + 0*m**2 - 1/90*m**4. Determine t so that p(t) = 0.
0, 2
Determine x, given that x**2 - 70607 + x**2 - 6*x**2 + 1024*x + 5071 = 0.
128
Let l(p) be the second derivative of 2*p**7/21 - 38*p**6/15 + 27*p**5/5 + 139*p**4/3 - 704*p**3/3 + 408*p**2 + 943*p + 2. Suppose l(s) = 0. What is s?
-3, 1, 2, 17
Let a(l) = -l**3 + 20*l**2 - 36*l + 4. Let p be a(18). Factor 35676 + 4*k - p*k + k**2 - 35680.
(k - 2)*(k + 2)
Let g(i) = 1392*i - 11133. Let f be g(8). Let -1/6*w**f + w**4 + 2/3*w - 4*w**2 + 0 = 0. Calculate w.
-2, 0, 1/6, 2
Suppose -4*y - 102 = -2*t, -3*t + 43 = -3*y - 35. Let a = y + 28. What is j in 10*j**3 + 7*j**a - 24 - 19*j**3 + 4*j**3 + 2*j**2 - 16*j = 0?
-2, 3
Let u(w) be the second derivative of 7*w**6/255 + 41*w**5/170 + 43*w**4/51 + 76*w**3/51 + 24*w**2/17 + 3081*w. Solve u(i) = 0 for i.
-2, -1, -6/7
Let a = 156 - 140. Determine n so that -a*n**3 + 52*n**2 + 140*n + 8*n**3 + 5*n**3 - 196 + 7*n**3 = 0.
-7, 1
Let a(g) be the first derivative of 0*g**3 + 1/84*g**4 - 2*g**2 + 1/60*g**5 + 31 + 0*g. Let f(y) be the second derivative of a(y). Factor f(u).
u*(7*u + 2)/7
Factor 56865*m**2 - 56860*m**2 + 20558062 - 30720*m + 26627858.
5*(m - 3072)**2
Let m = 240 - 159. Determine z so that z - 51*z**2 + m*z**2 - 2*z**3 - 15*z**4 - 17 + z**5 + 2 = 0.
-1, 1, 15
Factor 3/5*l**3 - 3/5*l - 1/5*l**4 - 126/5 + 31/5*l**2.
-(l - 7)*(l - 2)*(l + 3)**2/5
Factor -2490/11 - 2/11*x**2 - 2492/11*x.
-2*(x + 1)*(x + 1245)/11
Let u(i) be the first derivative of 34 + 1/6*i**3 + 9/8*i**2 + i - 1/2*i**4 - 1/24*i**6 - 3/10*i**5. Find s, given that u(s) = 0.
-4, -1, 1
Let v(z) be the first derivative of -z**4/16 - z**3/3 + 37*z**2