1/42*f**7 + 15*f**2 + 0*f**5 + 0*f**3 - 1/8*f**6. Factor n(u).
-5*u*(u - 1)*(u + 2)**2
Let x(d) be the first derivative of -36 + 1/2*d**4 - 8*d**3 + 11*d**2 + 0*d. Factor x(m).
2*m*(m - 11)*(m - 1)
Suppose -3670*k + 3546*k = -372. Factor -15/7*l - 3/7*l**4 - 3*l**k + 0 - 33/7*l**2.
-3*l*(l + 1)**2*(l + 5)/7
Let h(t) be the second derivative of 11*t**7/630 - t**6/15 + t**5/12 - t**4/36 - 16*t**2 - 84*t. Let j(n) be the first derivative of h(n). Factor j(k).
k*(k - 1)**2*(11*k - 2)/3
Let t(n) = 3*n + 126. Let w be t(-26). Factor -122*d**2 - 130*d**2 + 45 - w*d + 255*d**2.
3*(d - 15)*(d - 1)
Let o(t) be the first derivative of t**4/18 + 2612*t**3/27 + 427712*t**2/9 + 1700416*t/9 - 7647. Suppose o(f) = 0. Calculate f.
-652, -2
What is n in 94/7 + 14*n**2 - 190/7*n - 2/7*n**3 = 0?
1, 47
Let j(q) be the third derivative of q**8/168 + 2*q**7 - 533*q**6/30 + 964*q**5/15 - 501*q**4/4 + 430*q**3/3 - 104*q**2 + 14*q. Factor j(y).
2*(y - 2)*(y - 1)**3*(y + 215)
Let c be (1104/483)/((-10)/(-3)). Let j(z) be the first derivative of c*z**5 + 0*z - 16/21*z**3 - 8/7*z**2 - 6/7*z**6 + 11/7*z**4 - 11. Factor j(d).
-4*d*(d - 1)**2*(3*d + 2)**2/7
Suppose 26*a - 14*a = 108. Suppose -a*o + 11*o + 4*c = 20, 3*o - 2*c + 2 = 0. Solve -1/2*d**4 + d - d**3 + 1/2*d**o + 0 = 0.
-2, -1, 0, 1
Let b(i) = -210*i - 769. Let m be b(-4). Let a(v) = -2*v - 2. Let w be a(-2). Solve -6*o - m*o**w + 73*o**2 + 8 - 3*o + o = 0.
2
Let u(r) = 5*r - 23. Let q be u(5). Let b(n) = -n**2 + n + 2. Let p be b(0). Factor 10 + 80*t**p - 36*t**q + 32*t - 38*t**2.
2*(t + 5)*(3*t + 1)
Let y(j) be the second derivative of -j**5/10 - 58*j**4 - 10092*j**3 + j + 2. Factor y(f).
-2*f*(f + 174)**2
Let c = 88351/30 - 2945. Let d(z) be the first derivative of 1/9*z**3 - 11 + 0*z**2 - 1/8*z**4 + 0*z + c*z**5. Determine l, given that d(l) = 0.
0, 1, 2
Let g = 294 + -286. Let a(x) be the second derivative of -1/2*x**3 + 1/12*x**4 + 0 + g*x + 0*x**2. Let a(z) = 0. What is z?
0, 3
Suppose 0 = -735*z - 398*z - 90*z + 3669. Suppose 1/5*j**z + 1/5*j**2 - 4/5*j - 4/5 = 0. Calculate j.
-2, -1, 2
Suppose 3*r = x + 10, -4*r + 4*x - 6*x + 10 = 0. Factor 6*s**3 + r*s**3 + 0*s**3 - s**5 - 118*s**2 + 132*s**2 - 6*s**4.
-s**2*(s - 2)*(s + 1)*(s + 7)
Let w(m) = m + 3. Let t be w(0). Let -18*r - 95*r**4 - 9 - 4*r**t - 8*r**2 + 6*r**3 + 96*r**4 = 0. Calculate r.
-3, -1, 3
Suppose 3*a - 31 = -13. Suppose 0 = -2*v + 10 + a. Factor -2*x + 4 + v*x**2 - 4*x**2 + 0*x - 6*x**2.
-2*(x - 1)*(x + 2)
Let k(w) = -2*w**3 + 37*w**2 - 16*w - 29. Let s be k(18). Factor 48*q - 192 - 3*q**3 + s*q**2 - 7*q**2 + q**2 + 11*q**2.
-3*(q - 4)**2*(q + 4)
Let x(y) = 47*y**3 + 10951*y**2 + 4472561*y + 606772287. Let r(k) = -15*k**3 - 3651*k**2 - 1490853*k - 202257429. Let a(w) = -19*r(w) - 6*x(w). Factor a(u).
3*(u + 407)**3
Let l(q) be the third derivative of -1/945*q**7 + 1/1512*q**8 + 1/270*q**5 + 0*q**4 - 1/540*q**6 + 0 + q**2 + 0*q**3 + 0*q. Factor l(k).
2*k**2*(k - 1)**2*(k + 1)/9
Let v be 36 + -2 - (19 - 15). Factor 2*y**4 - 112 - 20*y**3 - 7*y**4 - 20*y + 107 - v*y**2.
-5*(y + 1)**4
Let t = -213 - -215. Factor -b - 7*b + b - 10 + 15*b + 2*b**t.
2*(b - 1)*(b + 5)
Let l be 146168/(-1210)*(-1)/12 + -9. Find c such that 0 + 0*c - 2/15*c**2 + l*c**3 - 32/15*c**4 = 0.
0, 1/4
Let t(w) be the second derivative of w**6/105 + 3*w**5/70 - w**4/3 - 4*w**3/7 + 40*w**2/7 - 29*w - 168. Factor t(c).
2*(c - 2)**2*(c + 2)*(c + 5)/7
Factor 119/8*w - 59/4 - 1/8*w**2.
-(w - 118)*(w - 1)/8
Let g(r) = -r**3 - 2*r**2 - r - 1. Let m(t) = t**3 + 14*t**2 - 10*t + 27. Let w(n) = -2*g(n) - m(n). Let p be w(9). Solve 0 + 1/4*s + 1/4*s**p = 0 for s.
-1, 0
Factor -451 - 700*c**4 + 1003 - 465*c**3 - 245*c**5 - 90*c**2 - 552.
-5*c**2*(c + 2)*(7*c + 3)**2
Factor 54 - 21/5*t**2 + 159/5*t.
-3*(t - 9)*(7*t + 10)/5
Let r(a) be the first derivative of 2/9*a**4 - 26 - 2/27*a**3 - 4/9*a**2 + 2/9*a. Factor r(u).
2*(u - 1)*(u + 1)*(4*u - 1)/9
Let a(v) be the third derivative of v**6/420 + 11*v**5/210 + 3*v**4/14 + 582*v**2. Suppose a(z) = 0. Calculate z.
-9, -2, 0
Let c(x) be the third derivative of -x**8/2352 - 17*x**7/735 - 349*x**6/840 - 17*x**5/7 - 75*x**4/14 + 1693*x**2. Suppose c(v) = 0. What is v?
-15, -2, 0
Let k(l) = -l**5 - l**4 - 2*l**3 + 1. Let r(m) = -32*m**4 - 88*m**3 - 64*m**2 - 4. Let n be (4/((-12)/3))/(2 - 1). Let j(g) = n*r(g) - 4*k(g). Factor j(t).
4*t**2*(t + 1)*(t + 4)**2
Suppose 1751*t - 1742*t - 54 = 0. Let y(x) be the second derivative of 0*x**3 + 1/22*x**5 + 0 - 1/33*x**4 + 12*x - 1/55*x**t + 0*x**2. Let y(s) = 0. What is s?
0, 2/3, 1
Suppose -4*i**2 + 2259 + 3*i**2 + 383 + 5*i**3 + 1220*i + 146*i**2 + 238 = 0. What is i?
-16, -9, -4
Let -2688*f + 200*f**2 - 100*f**3 - 46*f**3 + 142*f**3 + 4608 = 0. Calculate f.
2, 24
Let c(f) be the second derivative of -f**4/120 + 53*f**3/15 + 8*f - 32. Factor c(v).
-v*(v - 212)/10
Let p = 3531 + -3529. Let z(a) be the first derivative of -200/9*a**3 + 6 - 2500/9*a - 4/45*a**5 + 20/9*a**4 + 1000/9*a**p. Solve z(h) = 0 for h.
5
Let b(t) be the second derivative of -1/60*t**5 + 37/36*t**4 + 54*t**2 - 48*t + 0 - 20*t**3. Factor b(y).
-(y - 18)**2*(y - 1)/3
Let l be ((-9)/36)/(12/(-9)). Let d(w) be the first derivative of -l*w**2 - 3/8*w**3 + 9/8*w - 5 + 3/32*w**4. What is t in d(t) = 0?
-1, 1, 3
Let p(b) be the second derivative of b**7/210 - b**6/150 - b**5/50 - 2*b - 947. Factor p(f).
f**3*(f - 2)*(f + 1)/5
Suppose 0 = 3*l + 5*t - 21, -3*l + 5*l + 5 = 3*t. Let f be (0 - (-8 - -6))/((-2)/(-20)). Factor 10 + s + 14*s + f*s**l - 40*s - 5*s**3.
-5*(s - 2)*(s - 1)**2
Suppose 18 = 9*p - 3*p. Suppose -p*q = 22 - 34. Determine g, given that 3*g**q - 2*g**3 - 847*g**2 + g**3 + 839*g**2 - 4*g = 0.
-1, -2/3, 0, 2
Let i = -469822/3 - -156614. Factor 25/3 - 5/3*c**2 - i*c.
-5*(c - 1)*(c + 5)/3
Suppose 2*o - 5 = m - 0*m, m - 3*o = -9. Suppose 12 = 4*k - 4*q + 4, 0 = -2*k - q + 7. Factor 6*s**m - 2*s**3 - 3*s - s**k.
3*s*(s - 1)*(s + 1)
Let b be (3/(-2))/((-12)/(-1696)*-4). Factor 215*m - b - 10*m**2 + 1 - 53.
-5*(m - 21)*(2*m - 1)
Let a be (-242)/(-55) - 3/(-5). Let g(w) = -8*w - 9. Let k be g(-2). Factor -a*o**3 + 8 - k*o**2 + 7*o + o**2 - o**4 - 3*o.
-(o - 1)*(o + 2)**3
Let j = -722136/5 + 144428. Let u be -7*(-2 - (-12)/7). What is y in -j*y - 4/5*y**u + 48/5 = 0?
-4, 3
Let v(y) = 2*y**2 + 9*y - 13. Let x be v(-6). Suppose -3*m + r + 0*r = -22, 0 = -x*m - 4*r + 65. Factor 12*g - 5*g**3 + m*g**2 + 4*g**4 - 7*g**3 - 13*g**2.
4*g*(g - 3)*(g - 1)*(g + 1)
Let z(c) be the third derivative of c**5/90 - 19*c**4/72 + 5*c**3/2 - 2*c**2 + 3100*c + 1. Factor z(s).
(s - 5)*(2*s - 9)/3
Let j(r) = r**3 - 5*r**2 + 9*r - 16. Let o be j(4). Determine f so that 20*f**3 - f**4 + 135 - 13*f**3 - o*f - 12*f**2 - 119 = 0.
-1, 2, 4
Let l(d) = -11*d + 177. Let v be l(12). Let p be (v/54 - (-20)/(-24))/(-1). Let 21/2*t**4 + 27*t**3 + 30*t**2 + p + 3/2*t**5 + 12*t = 0. What is t?
-2, -1, 0
Let i(r) be the third derivative of 2 - 17/24*r**4 + 1/24*r**6 - 5/3*r**3 - 1/20*r**5 + 1/210*r**7 + 0*r - 32*r**2. Factor i(o).
(o - 2)*(o + 1)**2*(o + 5)
Let n = 4387/1375110 + -2/12501. Let b(c) be the third derivative of -23*c**2 + 0 + 4/33*c**3 + 0*c**4 - n*c**5 + 0*c. What is u in b(u) = 0?
-2, 2
Let h(m) be the second derivative of -1/20*m**5 + 1/2*m**3 + 0 + 2*m + 0*m**4 - 2*m**2. Let d(k) be the first derivative of h(k). Find w, given that d(w) = 0.
-1, 1
Let w(l) = 13*l**2 - l - 1. Let g(u) = 43*u**2 - 319*u + 309. Let h(i) = g(i) - 3*w(i). Solve h(v) = 0.
1, 78
Let h be (45/(-30))/(2/(-4)). Let -40 - 770*l**2 - 183*l + 3882*l**4 - 825*l**h - 4197*l**4 - 117*l = 0. Calculate l.
-1, -2/3, -2/7
Let s(u) be the first derivative of -u**7/280 - u**6/60 + u**5/8 + 3*u**4/4 + 52*u**3/3 + 29. Let r(t) be the third derivative of s(t). What is c in r(c) = 0?
-3, -1, 2
Let j(d) be the third derivative of -d**6/840 - d**5/7 - 279*d**4/56 + 961*d**3/21 - 161*d**2. Factor j(p).
-(p - 2)*(p + 31)**2/7
Suppose y + 3*j - 16 = -0*y, -35 = -3*y + 4*j. Let t = 0 + y. Determine l so that -4*l**5 + 20*l**2 - 52*l**3 - 3*l + 24*l**4 - t*l + 28*l**2 = 0.
0, 1, 2
Let w(o) be the second derivative of -8/9*o**3 - 11*o**2 - 8/45*o**5 + 1/135*o**6 + 31 - o + 29/27*o**4. Find c such that w(c) = 0.
-1, 3, 11
Let q(x) be the third derivative of -x**5/180 + 47*x**4/18 - 62*x**3/3 - 5959*x**2. Fact