Let s(w) = 4*w. Let y be s(7). Let k = 30 - y. Factor 11*r - 3*r**k + 12*r**2 + 0 - 2 + 4.
(r + 1)*(9*r + 2)
Let d = -209 + 1877/9. Let b = -1/9 - d. Factor -w + 0 + 0*w**4 - 2*w**3 + b*w**5 - 8/3*w**2.
w*(w - 3)*(w + 1)**3/3
Suppose i + 32 = -4*c, -i + 39*c - 40 = 44*c. Solve -2/7*g**5 + 0 + i*g**4 - 8/7*g + 10/7*g**3 + 0*g**2 = 0 for g.
-2, -1, 0, 1, 2
What is j in 9 + 3/2*j**4 + 15/2*j - 15/2*j**3 - 21/2*j**2 = 0?
-1, 1, 6
Let f = -378975 - -378978. Solve 0*j + 3/4*j**2 - 1/4*j**f - 1 = 0 for j.
-1, 2
Suppose 0*i = -i + 3*o + 17, 5*i - 5*o = 35. Find v such that 11*v**i - 467*v**4 + 15*v**2 + 465*v**4 - 24*v**3 = 0.
-13, 0, 1
Let o(q) be the first derivative of -20 - 25*q + 0*q**3 + 1/20*q**4 - 3/10*q**2. Let n(d) be the first derivative of o(d). Determine y so that n(y) = 0.
-1, 1
Let j(i) be the second derivative of 1/6*i**3 + 55*i + 0 - 5/84*i**4 + 1/140*i**5 - 3/14*i**2. Let j(f) = 0. What is f?
1, 3
Let j(u) be the third derivative of -u**5/40 + 1269*u**4/16 + 635*u**3/2 - 4279*u**2. Factor j(m).
-3*(m - 1270)*(m + 1)/2
Suppose -52*n + 31*n = 210. Let u be ((-40)/(-15))/((-25)/n). What is b in -8/15 - 2/15*b**3 - 2/3*b**2 - u*b = 0?
-2, -1
Let j(a) be the third derivative of a**5/60 + 44*a**4/15 - 71*a**3/10 - 2*a**2 + 1786*a. Factor j(l).
(l + 71)*(5*l - 3)/5
Let v = -39 + 47. Suppose 52 + v = 5*j. Solve 51*q**2 + 1 - 48*q**2 + j*q + 2 + 6 = 0 for q.
-3, -1
Let o(v) = -3*v + 7. Let i be o(0). Suppose 4*c + 393 = i*c. Factor -87*p**2 + 143*p**2 - 375*p - 5*p**3 - 625 - c*p**2.
-5*(p + 5)**3
Suppose u - p + 6*p = 2, 5*u - p = -42. Let v be ((-28)/u - 4)/(2/(-64)). Factor -4*m + v*m**3 + 12*m**3 - 4 - 36*m**3 + 4*m**2 + 12*m**3.
4*(m - 1)*(m + 1)**2
Let d be (28/(-20) + 1)*(-65)/13. Determine t, given that -2*t**3 + 849*t**d - 11 - 1700*t**2 + 16*t + 855*t**2 - 2*t**3 - 5 = 0.
-2, 1, 2
Determine b so that 1/6*b**3 - 11/2*b**2 + 117/2*b - 1183/6 = 0.
7, 13
Find i such that -291 + 431 + 372 - 1020*i - 8*i**2 = 0.
-128, 1/2
Let u(v) be the first derivative of v**5 - 25*v**4 + 155*v**3 - 325*v**2 + 280*v + 1075. Factor u(t).
5*(t - 14)*(t - 4)*(t - 1)**2
Let m = -73 - -102. Suppose 4*p + m = 37. Factor -2*l**3 + 4*l**2 - 8*l**3 + 4*l**3 + p*l**4.
2*l**2*(l - 2)*(l - 1)
Let a be 15/10*6/1350. Let i = 401/150 - a. Suppose 4*f**4 - i*f**5 + 4/3*f + 4/3*f**3 + 0 - 4*f**2 = 0. Calculate f.
-1, 0, 1/2, 1
Let d(y) be the first derivative of 35*y**3/3 + 200*y**2 + 165*y + 7880. Factor d(p).
5*(p + 11)*(7*p + 3)
Let v(g) = -3*g**3 + 31*g**2 + 30*g - 206. Let x(h) = 5*h**3 - 29*h**2 - 31*h + 207. Let p(r) = 3*v(r) + 2*x(r). Let p(n) = 0. What is n?
-34, -3, 2
Let h = 79/38 - 583/285. Let y(t) be the second derivative of -2*t + h*t**4 + 4/15*t**3 + 0 + 0*t**2. Suppose y(u) = 0. What is u?
-4, 0
Let i(j) = -2*j**2 + 67*j - 277. Let q be i(29). Let a be ((-18)/q)/((-38)/((-1216)/48)). Factor -21*k - 75/4*k**3 - 6*k**4 - 6 - a*k**5 - 57/2*k**2.
-3*(k + 1)**2*(k + 2)**3/4
Let d be -11 + ((-1632)/680)/((-12)/75). Determine c so that 0*c + 1/4*c**d - 3*c**2 + 0 + c**3 = 0.
-6, 0, 2
Let h be ((-1)/2)/(-7 - (-102)/12)*-1. Let c(x) be the third derivative of 0 - 1/4*x**4 + 0*x + 15*x**2 - h*x**3 - 1/10*x**5 - 1/60*x**6. Factor c(w).
-2*(w + 1)**3
Let s(v) be the second derivative of 24*v - 2 - 16/21*v**3 + 5/42*v**4 + 1/10*v**5 + 4/7*v**2. Factor s(l).
2*(l - 1)*(l + 2)*(7*l - 2)/7
Let y = 5349/238 + 3/119. Factor 45/2*t**2 - y*t + 5/2*t**3 + 0 - 5/2*t**4.
-5*t*(t - 3)*(t - 1)*(t + 3)/2
Let v(s) be the second derivative of 1/100*s**5 - 177 + 2*s - 1/10*s**4 + 3/10*s**3 - 2/5*s**2. Determine g, given that v(g) = 0.
1, 4
Let b(y) be the third derivative of -20*y**7/273 + 19*y**6/39 - 107*y**5/130 - 19*y**4/39 - 4*y**3/39 - 435*y**2. Let b(o) = 0. What is o?
-1/10, 2
Determine n so that -12910080/7*n**3 + 9840/7*n**4 + 8469012480/7*n**2 - 3/7*n**5 - 2777836093440/7*n + 364452095459328/7 = 0.
656
Suppose -45*o + 21*o - 20016 = 0. Let f = o + 836. Let 0 + 0*k + 5/2*k**3 - 5/3*k**f - 5/6*k**4 = 0. What is k?
0, 1, 2
Let v(n) be the third derivative of -n**7/42 - n**6/4 + 2*n**5 + 40*n**4/3 - 2482*n**2. Let v(t) = 0. Calculate t.
-8, -2, 0, 4
Suppose -836*a = -1489*a - 1076*a + 6916. Factor 0 - 1/3*c**5 + 5/3*c**2 + 2/3*c - 1/3*c**a + c**3.
-c*(c - 2)*(c + 1)**3/3
Determine f, given that -33*f**2 + f**2 + 4*f**3 - 3744*f + 2512*f = 0.
-14, 0, 22
Let c = 3872 + -27102/7. Let z = 188 - 1314/7. Solve -z*g**3 - 6/7*g**2 - c - 6/7*g = 0 for g.
-1
Let s(z) be the third derivative of -3*z**7/245 - 17*z**6/60 + 226*z**5/21 - 59*z**4/3 - 160*z**3/7 + 2*z**2 - 3*z - 182. Solve s(a) = 0 for a.
-24, -2/9, 1, 10
Let c = 223 + -97. Let q**5 - 2*q + c*q**2 - 130*q**2 + 2*q + 3*q**4 = 0. Calculate q.
-2, 0, 1
Let d(z) be the first derivative of 5*z**4/2 - 1265*z**3/3 + 940*z**2 - 625*z - 10545. Factor d(k).
5*(k - 125)*(k - 1)*(2*k - 1)
Let x = -1 - -6. Suppose -x*y + j = 6*j - 70, 0 = -2*y + 3*j + 13. Solve 11*p**3 - 2*p**5 + 6*p**5 + 17*p**3 - p**2 - 20*p**4 - y*p**2 = 0.
0, 1, 3
Let g(t) be the first derivative of -2*t**3/15 + 262*t**2/5 - 34322*t/5 + 345. Factor g(f).
-2*(f - 131)**2/5
Suppose -11*n - 45 = 384. Let g be 175/125 + n/35. Solve 0 + 1/7*l + g*l**2 + 1/7*l**3 = 0.
-1, 0
Let w = -1069/356 - -334/89. Find p, given that 0 + w*p**2 - 3/4*p = 0.
0, 1
Suppose 0 = -4*r - 4*x + 48, -2*r = -2*x - 26 - 6. Let q(j) = -j + 47. Let a be q(r). Suppose -1 - 2 + a*i - 17*i**2 - 3 - 10*i**2 = 0. Calculate i.
2/9, 1
Let q = 706269/143 + -4939. Let o = 413/286 - q. Suppose 9/4 + o*n - 3/4*n**2 = 0. What is n?
-1, 3
Determine g, given that 0 - 45/4*g - 3/4*g**4 - 39/4*g**3 + 87/4*g**2 = 0.
-15, 0, 1
Factor 2*i**4 + 0 + 0*i + 0*i**2 + 28/5*i**3 - 2/5*i**5.
-2*i**3*(i - 7)*(i + 2)/5
Let g(y) be the third derivative of -y**7/1260 + 7*y**6/360 - y**5/5 + y**4/8 + 7*y**3/3 - 48*y**2. Let r(x) be the second derivative of g(x). Factor r(t).
-2*(t - 4)*(t - 3)
Let a(b) be the second derivative of 3*b**7/7 - 17*b**6/10 - 21*b**5/20 + 13*b**4/4 - 3*b**3/2 - 4*b - 228. Solve a(o) = 0 for o.
-1, 0, 1/3, 1/2, 3
Let o(u) be the second derivative of -16*u - 3 - 1/4*u**5 - 85/6*u**3 + 25/6*u**4 + 20*u**2. Factor o(l).
-5*(l - 8)*(l - 1)**2
Let d(x) be the first derivative of 0*x + 2/5*x**2 + 43 - 1/20*x**4 + 0*x**3. Solve d(k) = 0 for k.
-2, 0, 2
Let g(t) = -8*t**2 - 152*t - 42. Let d(l) = -7*l**2 - 130*l - 42. Let h(v) = 6*d(v) - 5*g(v). Determine x, given that h(x) = 0.
-7, -3
Suppose -228 = -224*o + 37 + 407. Let m(x) be the first derivative of -135*x + 5/4*x**4 - 15*x**o + 8 + 135/2*x**2. Factor m(y).
5*(y - 3)**3
Let q(x) be the first derivative of 1/7*x**4 - 20/21*x**3 - 19 - 8/7*x**2 + 80/7*x. Find w, given that q(w) = 0.
-2, 2, 5
Let h be (-1374)/13 + (-6)/(-36)*0. Let u = h - -106. Factor u*t + 2/13*t**4 + 10/13*t**2 + 0 + 8/13*t**3.
2*t*(t + 1)**2*(t + 2)/13
Let x(n) be the first derivative of -5*n**4/8 - 35*n**3/3 - 145*n**2/4 + 110*n - 1958. Factor x(f).
-5*(f - 1)*(f + 4)*(f + 11)/2
Let s(h) be the first derivative of h**6/240 - 21*h**5/10 + 441*h**4 - 86*h**3/3 - 204. Let b(g) be the third derivative of s(g). Let b(y) = 0. Calculate y.
84
Let s(x) be the third derivative of 121*x**8/168 + 88*x**7/21 + 159*x**6/20 + 27*x**5/5 - 88*x**2 + 3. Factor s(n).
2*n**2*(n + 2)*(11*n + 9)**2
Let s(n) be the second derivative of -3*n + 8 - 37/8*n**2 + 1/48*n**4 + 3/2*n**3. Find b, given that s(b) = 0.
-37, 1
Let a be (5 - (-18 - (-12 + -13))) + (0 - -3*2). What is y in 40/3*y - 1/3*y**a - 7*y**3 + 0 - 6*y**2 = 0?
-20, -2, 0, 1
Let d = -855 - -857. Suppose -24 = -10*r - d*r. Let l + 0 + 1/3*l**r = 0. What is l?
-3, 0
Suppose -35 = 12*h - 191. Factor 95*b**2 + h + 120*b**3 - 349*b**2 + 24*b - 5.
2*(b - 2)*(4*b - 1)*(15*b + 2)
Factor 1193 - 722*n - 401*n + n**2 + 327*n + 155*n - 553*n.
(n - 1193)*(n - 1)
Suppose 2*r + 2*n + 20 = 7*r, 4*n = -20. Suppose 0*z - 4 = -r*z. Solve 26*y**z - 16*y**4 - 17*y**2 - 17*y**2 - 20*y**3 - 4*y**5 = 0 for y.
-2, -1, 0
Let b(f) = -50*f**2 - 318*f - 1228. Let p(u) = 12*u**2 + u + 1. Let z(t) = -b(t) - 4*p(t). Find s, given that z(s) = 0.
-153, -4
Let t = 5308 - 2318. Determine k so that 231*k**2 + t*k - 1785 + 6*k**3 + 0*k**3 + 41*k**2 - 331 = 0.
-23, 2/3
Let h(q) be the second derivative of -q**5/450 - q**4/18 - q**3/5 - 14*q**2 + 15*q + 1. Let k(u) be the first deriv