Factor 15*r - 2914*r**2 - 3 + 2 + 1459*r**2 - 15 + 1456*r**2.
(r - 1)*(r + 16)
Let a(i) be the third derivative of i**6/840 - i**5/140 - 11*i**4/56 + 5*i**3/6 - 168*i**2 + 18*i. What is z in a(z) = 0?
-5, 1, 7
Suppose 0 = 3*m - 4*u - 20, 3*m + 2*u + 0*u = 8. Let o = 163 + -161. Factor -m*a**2 + 4*a + a**o - 16*a - 12.
-3*(a + 2)**2
Let p(y) = -y**2 - 2*y + 1. Let r(g) = 4*g**4 - 80*g**3 - 286*g**2 - 36*g + 378. Let d(x) = 10*p(x) - r(x). Factor d(l).
-4*(l - 23)*(l - 1)*(l + 2)**2
Let d(s) = 4*s + 26. Let w be d(-6). Factor 2205 - 141*c - 145*c + 76*c + 5*c**w.
5*(c - 21)**2
Factor 1483/3*t - 2199289/6 - 1/6*t**2.
-(t - 1483)**2/6
Let j be ((-1)/99)/(-1 - (-35)/42). Let t(o) be the first derivative of 7 - 6/11*o + j*o**3 + 2/11*o**2. Determine l, given that t(l) = 0.
-3, 1
Suppose -3*p + 5*j + 216 = 2*j, p - 80 = -3*j. What is h in h**4 - p*h**2 + 24*h**3 - h**4 - 2*h**4 + 84*h - 32 = 0?
1, 2, 8
Let f(c) = -3*c**4 - 90*c**3 - 241*c**2 - 235*c - 81. Let v(z) = z**4 + 30*z**3 + 80*z**2 + 78*z + 27. Let u(w) = 4*f(w) + 11*v(w). What is j in u(j) = 0?
-27, -1
Let q be 3/(-6)*10 + (-23 - (-3915)/27). Factor q*r - 15/2*r**2 + 48.
-3*(r - 16)*(5*r + 2)/2
Let c = 28302 - 28300. Factor -1/3*m**3 + c*m + 0 + 1/3*m**2.
-m*(m - 3)*(m + 2)/3
Let f = -1680 - -1687. Factor -f*d**2 - 4/3 - 7*d - 4/3*d**3.
-(d + 1)*(d + 4)*(4*d + 1)/3
Suppose 1512 - 46*q**2 - 319*q**2 - 289*q**2 + 684*q - 9*q**4 + 27*q**2 - 51*q**2 + 141*q**3 = 0. What is q?
-1, 14/3, 6
Let b = 142 + -97. Let d = b - 43. Let -2/11*f**3 - 16/11*f - 8/11 - 10/11*f**d = 0. Calculate f.
-2, -1
Suppose 2*n = 4*f + 80, f = -2*f - 3*n - 51. Let i(j) = j**3 + 18*j**2 - 17*j + 45. Let u be i(f). Factor -9*o**2 - 13*o**2 + o**3 + 21*o + u*o**2 - 125 + 54*o.
(o - 5)**3
Let z(q) be the first derivative of 27*q**6/19 + 2016*q**5/95 + 2785*q**4/38 + 1700*q**3/19 + 764*q**2/19 + 144*q/19 - 1394. Find v such that z(v) = 0.
-9, -2, -1, -2/9
Factor -101461*d**2 + 14931*d - 12685809 - 1764191 + 2069*d + 101456*d**2.
-5*(d - 1700)**2
Let y(u) be the third derivative of -16/5*u**3 + 0 - 4/25*u**5 - u**4 + 63*u**2 + 0*u - 1/100*u**6. Factor y(w).
-6*(w + 2)**2*(w + 4)/5
Let p be 24/(-204) - 208/(-34). Suppose f**2 + 8*f + 8*f**2 - 14*f**2 - p + 3*f**2 = 0. What is f?
1, 3
Let f be (-988)/114*12/26 + (-19)/(-4). Factor 3*c - f*c**2 - 3.
-3*(c - 2)**2/4
Let -2/5*v**2 + 42/5*v + 144/5 = 0. Calculate v.
-3, 24
Let p(j) be the second derivative of -1 - 1/9*j**4 + 0*j**2 + 6*j - 1/2*j**3. Factor p(b).
-b*(4*b + 9)/3
Factor -3*a**4 - 15*a - 3*a - 866210*a**3 - 3*a**2 + 866222*a**3.
-3*a*(a - 3)*(a - 2)*(a + 1)
Let r(q) be the first derivative of q**6/252 - q**5/90 + q**4/126 + 28*q**2 + 56. Let b(p) be the second derivative of r(p). Factor b(f).
2*f*(f - 1)*(5*f - 2)/21
Let n(b) be the first derivative of 1599/2*b**2 - 181 + 79/3*b**3 + 1521*b + 1/4*b**4. Factor n(t).
(t + 1)*(t + 39)**2
Let k = -689 - -692. Let x(h) = h**3 + 22*h**2 + 3*h + 90. Let j be x(-22). Determine q, given that 108/7*q**k + 68/7*q + j*q**2 + 8/7 = 0.
-1, -1/3, -2/9
Factor -1298/3 - 1/3*m**2 + 217*m.
-(m - 649)*(m - 2)/3
Let s(c) be the first derivative of 7/15*c**3 - 1/60*c**4 - 49/10*c**2 - 36*c + 38. Let v(x) be the first derivative of s(x). Suppose v(g) = 0. Calculate g.
7
Let d(z) be the first derivative of 180*z**6 - 14796*z**5 + 678285*z**4/2 - 3089425*z**3/3 + 1245750*z**2 - 680625*z + 827. What is k in d(k) = 0?
5/6, 33
Let f(y) = 465*y - 22317. Let l be f(48). Find o such that 2/19*o**4 + 6/19 + 4/19*o**l - 8/19*o**2 - 4/19*o = 0.
-3, -1, 1
Let -111/7*p**4 - 117/7*p**3 + 0 - 3/7*p - 36/7*p**5 - 45/7*p**2 = 0. Calculate p.
-1, -1/12, 0
Factor -5 + 7/3*h**2 + 1/6*h**3 - 17/6*h.
(h - 2)*(h + 1)*(h + 15)/6
Let r(h) = 2*h**3 + 7*h**2 + 4*h - 1. Let i be r(-2). What is v in -2*v**4 - 29*v**2 + 14*v**i + 6*v**5 - 28*v**2 + 61*v**2 + 18*v**4 = 0?
-1, -2/3, 0
Let w be ((-1)/15 + (-44)/(-66))*10. Let r be 16394/210 + (1 - 4/w). Solve 4/5*b**3 - r + 84/5*b + 48/5*b**2 = 0 for b.
-7, 2
Let z be (-4 - 120/15)/(-1). Let k(o) be the third derivative of 0 - 1/30*o**5 - z*o**3 - o**4 + 0*o + 8*o**2. Factor k(f).
-2*(f + 6)**2
Let a(d) = 3*d**3 + 2*d**2 - 39*d + 12. Let b(f) = f. Let p(v) = v**2 + v - 32. Let n be p(-6). Let y(t) = n*a(t) - 4*b(t). Factor y(g).
-2*(g - 3)*(g + 4)*(3*g - 1)
Let m = 17 - 14. Find q such that 4*q**2 + 14*q**4 + 16*q**4 - 32*q**4 + 2*q**m = 0.
-1, 0, 2
Let -778*a**5 - 15*a**4 + 17 + 99*a**3 - 96*a + 775*a**5 - 93*a**2 + 91 = 0. What is a?
-9, -1, 1, 2
Let g(i) be the second derivative of -24*i**3 + 0 + 101*i - 1/20*i**5 + 0*i**2 + 2*i**4. What is l in g(l) = 0?
0, 12
Let 900/7 - 6/7*t**2 - 894/7*t = 0. Calculate t.
-150, 1
Let f(c) be the second derivative of -c**6/75 + 23*c**5/100 + c**4/3 - 46*c**3/15 - 24*c**2/5 - 4225*c. What is u in f(u) = 0?
-2, -1/2, 2, 12
Let -372*h**2 - 3*h**4 - 456*h - 192 + 494*h**3 - 66*h**5 - 608*h**3 + 69*h**5 = 0. Calculate h.
-2, -1, 8
Let o = -202 - -207. Determine b so that -b**4 - 108*b**3 - 32*b**2 - 84*b**2 - 15*b - 27*b**4 - 25*b + 4*b**o = 0.
-1, 0, 10
Determine w, given that -189/2*w**3 - 3/2*w**5 - 39/2*w**4 - 228*w - 90 - 429/2*w**2 = 0.
-5, -3, -2, -1
Let u be 12 + -1 + -3 + -4. Let j = 20 - u. Factor -8*h**3 + 104 + 12*h - j*h**2 + 4*h**3 - 32.
-4*(h - 2)*(h + 3)**2
Factor 0 - 1/3*x**3 - 15*x**2 + 46/3*x.
-x*(x - 1)*(x + 46)/3
Let r(l) = -395*l**4 - 45*l**3 - 1440*l**2 + 2755*l. Let q(t) = -43*t**4 - 5*t**3 - 160*t**2 + 306*t. Let z(b) = -55*q(b) + 6*r(b). Let z(x) = 0. What is x?
-6, 0, 2, 5
Let p(a) be the second derivative of -2/105*a**6 - 8/7*a**3 - 13/21*a**4 - 8/7*a**2 - 6/35*a**5 + 2 - 61*a. Factor p(r).
-4*(r + 1)**2*(r + 2)**2/7
Let r(b) be the third derivative of -b**5/12 - 2195*b**4/8 + 3295*b**3/3 + 7*b**2 + b + 36. Factor r(k).
-5*(k - 1)*(k + 1318)
Determine s so that 376*s**3 - 493*s**2 - 527*s**2 + 73*s**4 + 828 + 884*s**2 - 4*s**5 - 1140*s + 3*s**4 = 0.
-3, 1, 23
Let u = -16 - -20. Let g be 5/10 + -15*(-6)/u. Suppose -7*a**3 - 9 + 3*a**3 - 23 - 25*a - 24*a**2 - g*a = 0. What is a?
-2
Let y(n) be the third derivative of 22*n**2 + 0 - 3025/52*n**4 + 166375/39*n**3 - 2*n - 1/780*n**6 + 11/26*n**5. Factor y(a).
-2*(a - 55)**3/13
Suppose 2*p + 22499 = 5*f + 3*p, 0 = -3*f - 4*p + 13496. Solve -46*u + 19*u**2 + f - 14*u**2 - 155*u - 8*u - 91*u = 0.
30
Let j(w) be the second derivative of -4 + 5/4*w**5 + 125/6*w**4 + 1250/9*w**3 + 0*w**2 + 1/36*w**6 + 14*w. Factor j(n).
5*n*(n + 10)**3/6
Let y(h) = -h**2 - 5*h + 83. Let k be y(-11). Let z be ((-4)/(-3))/(2/3). Find f such that -15*f**2 + 24*f**2 - k*f**z + 10*f**3 - 2*f**4 = 0.
0, 1, 4
Suppose 4*d + 3*i - 9 = 5*d, -2*d + 4*i - 10 = 0. Suppose 40 = 5*j + 5*y, -j - 2*y + 10 = -d. Factor 6 - 5*h**j + 17*h**3 + 5*h**2 - 12 + 15*h + 28*h**2.
3*(h + 1)*(h + 2)*(4*h - 1)
Let w be 474*(4 + 40/(-12)). Suppose 3*d + 4*q = w, 2*d + 0*q - 184 = 4*q. Factor -5*g**2 + 20 - 100*g + 200*g - d*g.
-5*(g - 2)*(g + 2)
Let k(q) be the third derivative of -q**7/280 - q**6/24 + q**5/40 + 5*q**4/8 - 7*q**3/6 - 229*q**2. Let p(c) be the first derivative of k(c). Factor p(j).
-3*(j - 1)*(j + 1)*(j + 5)
Let r(l) be the second derivative of 10 + 3*l + 5/12*l**4 - 10*l**2 + 0*l**3. Factor r(w).
5*(w - 2)*(w + 2)
Let l(x) be the first derivative of x**5/5 + 5*x**4 + 112*x**3/3 + 96*x**2 - 1008. Factor l(o).
o*(o + 4)**2*(o + 12)
Let r(i) be the third derivative of -i**6/144 - i**5/16 - 5*i**4/24 + 10*i**3/3 + 50*i**2. Let l(b) be the first derivative of r(b). Factor l(k).
-5*(k + 1)*(k + 2)/2
Let r(g) be the second derivative of -5*g**7/42 - g**6/6 + 17*g**5/4 - 95*g**4/12 - 40*g**3/3 + 50*g**2 + 855*g. Suppose r(q) = 0. Calculate q.
-5, -1, 1, 2
Suppose 58*s = 107366 - 107192. Factor 5*t**2 - 2/3 + 7/3*t**4 - 1/3*t - 19/3*t**s.
(t - 1)**3*(7*t + 2)/3
Let u be -29 - (25 + -35 - 22). Solve 12/7*n**2 - 4/7*n**4 - 8/7*n**u + 32/7*n + 16/7 = 0 for n.
-2, -1, 2
Let q be 9/5 + 85/425. Let y be 3 - q - (-23)/69. Find m such that 128/3 - y*m**5 - 88/3*m**2 - 52/3*m**3 + 32/3*m**4 + 128/3*m = 0.
-1, 2, 4
Let q(r) = -3*r + 3. Let f be q(4). Let y = f - -12. Factor 3/4*n**y + 3*n**2 + 3*n + 0.
3*n*(n + 2)**2/4
Let i(f) = 3*f**3 + 40*f**2 + 92*f - 8. Let z(r) = -9*r**3 - 119*r**2 - 268*r + 22. Let c(o) = 11*i(o) + 4*z(o). Determine g so that c(g) = 0.
-10, -2,