3 + 40*r**2 + 25*r - 250. Let t(g) = f*z(g) - 35*m(g). Factor t(d).
5*(d - 2)*(d + 5)**2
Suppose -119*v = -401 + 44. Solve -12/5 - 16/5*z - 7/5*z**2 - 1/5*z**v = 0 for z.
-3, -2
Let -36 + 3/4*m**2 - 33/2*m = 0. What is m?
-2, 24
Let a(o) = -o**3 + o**2 + 7. Let t(w) = 4*w**4 - 30*w**3 - 28*w**2 - 56. Let j(y) = -8*a(y) - t(y). Find b, given that j(b) = 0.
-1/2, 0, 10
Let r(q) = -515*q - 149347. Let s be r(-290). Solve 0 - 6/7*j**s + 0*j**2 + 3/7*j + 0*j**4 + 3/7*j**5 = 0.
-1, 0, 1
Let p(g) = -7*g - 61. Let z be p(-9). Factor -10*b**2 - 7*b + 4 - 22*b**2 + 34*b**z + b**3.
(b - 1)**2*(b + 4)
What is c in -68/9 - 2/9*c**3 + 4*c**2 - 10/3*c = 0?
-1, 2, 17
Let o(c) be the third derivative of c**7/280 - c**6/24 + 41*c**5/240 - 5*c**4/24 - c**3/2 + 1781*c**2. Suppose o(w) = 0. What is w?
-1/3, 2, 3
Let u(f) be the second derivative of f**4/12 - f**3/6 - 2*f**2 + 13*f. Let s be u(-2). Factor 21*g**3 + 5*g**2 + g**2 - 4*g + s - 1 + g**4 - 25*g**3.
(g - 1)**4
Let p(w) be the first derivative of 169 + 2/5*w**3 + 27/10*w**2 - 1/20*w**4 + 0*w. Factor p(u).
-u*(u - 9)*(u + 3)/5
Factor -198*x + 82 + 285*x**2 + 8 - 252 - 8*x**3 + 82 + x**3.
-(x - 40)*(x - 1)*(7*x + 2)
Let f(n) be the first derivative of -3*n**5/40 + 17*n**4/8 + 9*n**3/2 + 226*n - 227. Let h(t) be the first derivative of f(t). Suppose h(q) = 0. What is q?
-1, 0, 18
Let n be 64/320 - (0 + 8808/15). Let h = n + 589. Factor -10/3*w**h + 0 + 0*w + 2/3*w**3.
2*w**2*(w - 5)/3
Let t be ((-13)/((-91)/798))/(6/8). Suppose 2*w + 146 - t = 0. Solve 3*x**4 - w*x**2 + 6*x**2 + 2*x + 0*x - 4*x**4 = 0.
-1, 0, 2
Let j(r) be the first derivative of -r**5/5 - 13*r**4 - 563*r**3/3 + 1484*r**2 - 2352*r + 4742. Solve j(i) = 0 for i.
-28, 1, 3
Let b be -1 + 7 - (-12)/(-3). Factor -q**2 + 904 - 5322 + 188*q - 2*q**2 + 0*q**b + q**2.
-2*(q - 47)**2
Let j = -21853/2 + 10928. Factor -j*i**2 - 9*i + 0 + 3/2*i**3.
3*i*(i - 3)*(i + 2)/2
Let g(d) = -4*d**2 + 63*d - 72. Let a be g(20). Let o = a - -2889/7. Factor 17/7*k - o*k**2 - 6/7.
-(k - 3)*(5*k - 2)/7
Suppose -i = 4*y - 55 - 66, -y = -2*i + 251. Factor i*m**2 + 8*m + 126*m**2 - 2*m**3 - 251*m**2.
-2*m*(m - 2)*(m + 2)
Suppose s + 23 - 26 = -2*n, -3*n + 8 = -2*s. Suppose -n*u - 273 + 279 = 0. Suppose -1/3*h**2 + h - h**u - 1/3*h**4 + 2/3 = 0. Calculate h.
-2, -1, 1
Let f be (-1 - (-98)/(-7))/((-3)/2). Suppose -21*h + f = -16*h. Let -1/2*d**4 + 3/2*d**h + 5/2*d + 1 - 1/2*d**3 = 0. Calculate d.
-1, 2
Let d(x) be the second derivative of 3*x**7/14 + 13*x**6/10 - 63*x**5/20 - 53*x**4/4 + 9*x**3 + 60*x**2 + 594*x - 1. Let d(a) = 0. What is a?
-5, -4/3, -1, 1, 2
Let x = -3789 - -3817. Let w(f) be the second derivative of 1/8*f**4 + 2*f**3 + 0 + 21/4*f**2 - x*f. Factor w(n).
3*(n + 1)*(n + 7)/2
Suppose -4*a - 2*y + 10 = 0, -2*a - 4 = -3*y + 3. Let n(v) = -2*v**4 + v**2 + v. Let o(d) = -15*d**4 + 6*d**2 + 9*d. Let z(u) = a*o(u) - 9*n(u). Factor z(g).
3*g**2*(g - 1)*(g + 1)
Let d(y) be the third derivative of y**6/12 - 11*y**5/4 - 35*y**4/3 + 30*y**3 - 14*y**2 + 18. Factor d(o).
5*(o - 18)*(o + 2)*(2*o - 1)
Let u(h) be the second derivative of -38*h**4 + 103/2*h**3 + 21/20*h**5 - 14 + 63*h**2 + 2*h. Factor u(d).
3*(d - 21)*(d - 1)*(7*d + 2)
Let n be (112/294)/((-1212)/(-707)). Factor -n*b**2 + 0*b + 0 + 2/9*b**3.
2*b**2*(b - 1)/9
Let y be -12 + (36/(-6) - (0 + -21)). Determine u, given that -20/3*u**2 + 8*u**4 - 4/3 - 50/3*u + 50/3*u**y = 0.
-2, -1, -1/12, 1
Let h(g) = -g**3 + 18*g**2 + 8*g + 87. Let i be h(18). Let m be i/(-42)*(-12)/22. Let -1/3*v**3 - 4/3 - 2*v**2 - m*v = 0. Calculate v.
-4, -1
Factor -1/9*w**2 - 32/9 + 11/3*w.
-(w - 32)*(w - 1)/9
Suppose -k = 5*s - 2 - 45, 0 = -k + 3*s - 25. Factor 11/10 - 1/10*v**k - v.
-(v - 1)*(v + 11)/10
Find b such that 3/7*b**2 - 3498/7 + 285/7*b = 0.
-106, 11
Let b(y) be the first derivative of -5/6*y**2 - 21*y - 5/12*y**4 - 1/12*y**5 - 5/6*y**3 + 11. Let d(a) be the first derivative of b(a). Factor d(t).
-5*(t + 1)**3/3
Let i = 471 + -465. Let x be 9/(-18) + i/8. Factor 1/4*m + x*m**2 + 0.
m*(m + 1)/4
Suppose i + 0 = 3*k - 2, -3*i - 15 = 0. Let w be (0/(-2) - k)/((-52)/(-104)). What is g in 0*g - 7*g**w - 40*g + 163 - 5*g**2 - 175 = 0?
-3, -1/3
Let b(x) be the third derivative of 0 + x**2 + 25/36*x**4 + 2/3*x**5 - 125/18*x**3 - 34*x + 1/126*x**7 - 5/36*x**6. Let b(l) = 0. What is l?
-1, 1, 5
Let m(c) be the third derivative of -c**5/330 + 344*c**4/33 - 473344*c**3/33 - 268*c**2 + c. What is i in m(i) = 0?
688
Let g(l) be the second derivative of -l**6/45 - 73*l**5/60 - 3*l**4/2 + 61*l**3/6 - l - 8. Let d(a) be the second derivative of g(a). Factor d(p).
-2*(p + 18)*(4*p + 1)
Let p be (42/(-18))/(14/(-6) + 2). Factor -19 - 29*i - 5 - p*i**2 - 13*i**2 + 68*i + 5*i**2.
-3*(i - 1)*(5*i - 8)
Let a(w) be the second derivative of -w**5/100 - 13*w**4/60 + 329*w**3/30 - 1323*w**2/10 + 2*w + 149. Factor a(z).
-(z - 7)**2*(z + 27)/5
Let d(h) be the second derivative of -3*h**5/20 + 11*h**4/2 - 115*h**3/2 + 225*h**2 + 1442*h. Factor d(t).
-3*(t - 15)*(t - 5)*(t - 2)
Let x be 17 + 9 + (-8569)/330. Let s(z) be the third derivative of -1/15*z**5 - x*z**6 - 25*z**2 + 0*z**3 + 0 + 0*z + 1/3*z**4. Factor s(h).
-4*h*(h - 1)*(h + 2)
Let n(d) = -7*d**4 + 18*d**3 + 7*d**2 - 5. Let f(t) = -4*t**2 - 51*t**3 - 52*t**3 + 104*t**3 + 5*t**2 - 1. Let s(p) = 10*f(p) - 2*n(p). Factor s(g).
2*g**2*(g - 2)*(7*g + 1)
Suppose -1334*z + 594 = -1037*z. Factor -2/13*l**3 - 162/13*l + 0 - 36/13*l**z.
-2*l*(l + 9)**2/13
Factor -234*k - 2*k**2 + k**2 - 47 + 147 + 335 - 200*k.
-(k - 1)*(k + 435)
Factor -116345*t - 59123*t**2 + 205746*t - 597*t**3 - 29680*t**2 - t**4.
-t*(t - 1)*(t + 299)**2
Let x(f) be the second derivative of f**6/18 + 61*f**5/90 + f**4/108 - 61*f**3/27 - 8*f**2/9 + 6436*f. Solve x(d) = 0 for d.
-8, -1, -2/15, 1
Let k be -19 + -143*14/(-91). Let h(f) be the second derivative of 0 - 1/9*f**k - 1/90*f**4 + 0*f**2 + 40*f. Suppose h(l) = 0. Calculate l.
-5, 0
What is r in 5*r**3 - 264*r - 58 - r**3 + 16*r**3 - r - 62 - 125*r**2 = 0?
-1, -3/4, 8
Suppose -22 = -3*r + 7758*b - 7756*b, -36 = -4*r + 4*b. Let -15*x - 15/2*x**5 + 65/2*x**3 + 25/2*x**r + 0 - 5/2*x**2 = 0. Calculate x.
-1, 0, 2/3, 3
Let h(d) be the second derivative of 7/6*d**4 + 3*d - 55/12*d**3 - 1/6*d**6 + 1/84*d**7 + 11/20*d**5 - 25/2*d**2 - 17. Let h(q) = 0. Calculate q.
-1, 2, 5
Let o(m) = 7*m**2 - 1202*m - 1194. Let a(p) = -3*p**2 + 601*p + 598. Let q(n) = -15*a(n) - 6*o(n). Factor q(u).
3*(u - 602)*(u + 1)
Factor 1/2*n**2 + 123/2*n - 62.
(n - 1)*(n + 124)/2
Let v(s) = s**4 + s**3 + 1. Let n(c) = -4*c**5 - 27*c**4 + 125*c**3 - 128*c**2 + 44*c + 5. Let l(t) = n(t) - 5*v(t). Determine y, given that l(y) = 0.
-11, 0, 1
Let j(w) be the second derivative of w**5/200 - 1109*w**4/40 + 230464*w**3/5 + 692224*w**2/5 - 49*w - 9. Factor j(g).
(g - 1664)**2*(g + 1)/10
Let r = -132164 - -2775446/21. Factor -20/21*y - r*y**2 - 2.
-2*(y + 3)*(y + 7)/21
Let j(v) = v**3 + v**2 - 2*v. Let u(g) = -3*g**4 + 124*g**3 + 382*g**2 + 376*g + 129. Let l(k) = -4*j(k) + u(k). Factor l(b).
-3*(b - 43)*(b + 1)**3
Let i(h) be the first derivative of 2*h**5/65 + h**4/26 - 2*h**3/13 - h**2/13 + 4*h/13 - 8123. Suppose i(t) = 0. What is t?
-2, -1, 1
Let a be 3/(-25)*(80 + (-1680)/18). Find o such that -a + 6/5*o + 2/5*o**2 = 0.
-4, 1
Let y(x) be the third derivative of x**6/60 - 17*x**5/15 + 161*x**4/12 + 196*x**3/3 - 3595*x**2. Determine j, given that y(j) = 0.
-1, 7, 28
Let f(v) be the third derivative of 0*v + 0*v**4 + 1/300*v**6 + 0 + 11/75*v**5 + 0*v**3 - 311*v**2. Factor f(d).
2*d**2*(d + 22)/5
Suppose h - 3*d + 0 - 11 = 0, -2*h + 12 = -d. Suppose 0 = h*i - q + 5*q, 17 = -2*i - 5*q. Determine f, given that 11*f**3 + 2*f**2 - f**3 - i*f - 8*f**3 = 0.
-2, 0, 1
Determine z so that 859680000/7*z**3 + 1028*z + 4312800/7*z**2 - 864000000/7*z**4 + 4/7 = 0.
-1/600, 1
Let z(c) = 3*c**2 + 126*c - 131. Let r(p) = -13*p**2 - 376*p + 396. Let m(h) = 2*r(h) + 7*z(h). Factor m(u).
-5*(u - 25)*(u - 1)
Suppose 0 = 9*f + 83*f - 276. Let c(q) be the second derivative of 3/40*q**5 - 1/4*q**f + 0*q**2 - 1/8*q**4 + 1/20*q**6 + 13*q + 0. Factor c(h).
3*h*(h - 1)*(h + 1)**2/2
Factor 112 - 13/5*i**4 - 32/5*i**3 + 40*i**2 + 1/5*i**5 + 688/5*i.
(i - 14)*(i - 5)*(i + 2)**3/5
Let b be ((-14180)/2412 - 3)/(72/(-27)). Let j = b - -1/268. Let j*v**3 - 