 + 4)/3
Let l(x) be the third derivative of -12*x**3 + 0 + 3/70*x**7 + 23/2*x**4 + 0*x + 104*x**2 + 119/30*x**5 - 101/120*x**6. Factor l(i).
(i - 6)**2*(i + 1)*(9*i - 2)
Let v(y) be the third derivative of 2/5*y**5 + 2*y**3 + 4/3*y**4 - 2*y - 2/105*y**7 + 0 + 0*y**6 - 39*y**2. Solve v(w) = 0 for w.
-1, 3
Let x(m) be the second derivative of -m**5/90 + 47*m**4/54 + 148*m**3/27 + 100*m**2/9 + 353*m. Find c such that x(c) = 0.
-2, -1, 50
Let z = 101709 + -101709. What is i in 4/7*i**2 + z - 4/7*i = 0?
0, 1
Let n(s) = s**3 - 11*s**2 + 13*s - 28. Let f be n(10). Solve -80*o**4 + 395*o**f + 73 + 295*o**3 - 320*o + o**3 - 28 + 384*o**3 = 0.
-1, 1/4, 9
Let k = 62/55 + -8/11. Let u be (-1 + 11)/(-582 + 587). Factor -4/5*z + k + 2/5*z**u.
2*(z - 1)**2/5
Let c be 34/(-168) + (-120)/(-420). Let t(r) be the second derivative of -14*r + 0 - c*r**4 + 4/3*r**3 - 8*r**2. Solve t(i) = 0 for i.
4
Suppose 2*q = -2*x + 16, 6*q - 7*q + 3*x = -8. Let z be 2/((-68)/q + 9). Let 0 + 0*f**3 - 2/13*f**2 + 0*f + 2/13*f**z = 0. Calculate f.
-1, 0, 1
Let d(z) = -z - 1. Let w be d(-5). Suppose 0 = 1231*y - 1232*y + 2. Factor 4*f**y - 7*f**3 - 2*f + 6*f**2 - w*f**2 + 3*f**2.
-f*(f - 1)*(7*f - 2)
Let s(x) be the first derivative of x**4 + 5864*x**3/3 - 5870*x**2 + 5872*x + 2044. Determine o, given that s(o) = 0.
-1468, 1
Let u(w) be the third derivative of 185 + 0*w + 1/36*w**5 + 2*w**2 - 13/72*w**4 + 1/3*w**3. Let u(i) = 0. What is i?
3/5, 2
Suppose 140*o = 127*o - 3900. Let g = o + 1201/4. Factor 0 - g*q**4 - 5/4*q**2 - q**3 - 1/2*q.
-q*(q + 1)**2*(q + 2)/4
Let r be ((-9)/15)/(1*10/(-50)). Suppose -1285*l**2 + 15528 - 15208 - 25*l**4 - 212*l + 62*l - 840*l**r = 0. What is l?
-32, -1, 2/5
Let a(l) = 105*l**3 - 639*l**2 + 741*l + 336. Let z(f) = -8*f**3 + 49*f**2 - 57*f - 26. Let d(t) = 4*a(t) + 51*z(t). Let d(b) = 0. What is b?
-1/4, 2, 3
Let p(g) be the second derivative of 1/231*g**7 + 1/33*g**4 - 5/11*g**3 + 160*g + 0 + 7/55*g**5 + 7/165*g**6 - 9/11*g**2. Let p(r) = 0. What is r?
-3, -1, 1
Let j(v) be the second derivative of 1/60*v**4 + 0 - 7/10*v**2 + 1/5*v**3 + 103*v. Suppose j(l) = 0. What is l?
-7, 1
Let r be 136 + -55 + 5 + 1. Suppose r*j = 86*j. Find n such that 0*n + j + 2/3*n**5 - n**2 - 8/3*n**3 - n**4 = 0.
-1, -1/2, 0, 3
Let o = 9687 + -106556/11. Let i(x) be the second derivative of 1/33*x**4 - o*x**2 + 13*x + 1/33*x**3 + 0. Factor i(m).
2*(m + 1)*(2*m - 1)/11
Let a(m) = m**3 + m**2 - 17*m + 17. Let p be a(-5). Let -388*z**3 + 506*z - 376 - 2*z**5 + 17*z**2 + 491*z**p - 58*z**4 - 116*z - 74 = 0. Calculate z.
-15, -1, 1
Let v(m) be the second derivative of m**5/330 - 5*m**4/132 + 25*m**2/2 + 13*m. Let r(p) be the first derivative of v(p). Solve r(o) = 0 for o.
0, 5
Let g be -2*(-99)/308*-2342. Let j = g - -1509. Let 48/7 - j*d**2 - 3*d**4 - 3/7*d**5 + 48/7*d - 48/7*d**3 = 0. What is d?
-2, 1
Let d(b) be the third derivative of -b**2 + 11*b**4 - 121/6*b**3 + 88*b - 1/210*b**7 - 83/30*b**5 + 1/5*b**6 + 0. Let d(o) = 0. Calculate o.
1, 11
Let x(k) = k**2 + 11*k - 10. Let v = -513 + 501. Let f be x(v). Factor 4/9*h**4 - 8/9*h**3 + 0*h + 0 + 4/9*h**f.
4*h**2*(h - 1)**2/9
Let u(o) be the third derivative of o**8/56 - 44*o**7/75 - 121*o**6/75 - o**5/25 + 133*o**4/60 - 22*o**3/15 - 218*o**2 + 4*o. Determine w so that u(w) = 0.
-1, 1/5, 1/3, 22
Factor -22/3*a - 1/3*a**2 + 16.
-(a - 2)*(a + 24)/3
Let u = -846 + 859. Suppose 0 = -22*h + u + 53. Let h*n - 30/7 - 3/7*n**2 = 0. Calculate n.
2, 5
Let n(i) be the second derivative of -i**4/6 - 220*i**3 + 661*i**2 + 54*i - 33. Factor n(z).
-2*(z - 1)*(z + 661)
Let m(j) be the first derivative of 4/9*j**3 - 24*j + 34/3*j**2 + 58. Factor m(g).
4*(g - 1)*(g + 18)/3
Let j(l) be the first derivative of -15*l**4/16 + 57*l**3/4 + 417*l**2/4 - 90*l - 722. Let j(h) = 0. Calculate h.
-4, 2/5, 15
Let t be (-6 + 54/7)/(90/84). Find v such that 1/5*v**2 - t*v + 7/5 = 0.
1, 7
Suppose 9274*u - 34747*u + 11023*u + 10440125 + u**2 + 4*u**2 = 0. Calculate u.
1445
Let f(s) be the second derivative of -s**6/60 + 5*s**5/8 + 31*s**4/3 + 44*s**3 - 1672*s. Find w, given that f(w) = 0.
-4, 0, 33
Let j(g) be the second derivative of g**5/270 + 13*g**4/27 + 676*g**3/27 + g**2 - g - 4. Let n(i) be the first derivative of j(i). Factor n(y).
2*(y + 26)**2/9
Let z(x) be the third derivative of x**6/540 - 7*x**5/90 - 25*x**4/12 - 203*x**3/27 - 3871*x**2. Solve z(n) = 0.
-7, -1, 29
Let t(b) be the second derivative of -b**6/225 - 11*b**5/30 - 46*b**4/5 - 364*b**3/9 + 2704*b**2/15 + 13*b + 162. What is g in t(g) = 0?
-26, -4, 1
Let v(h) be the first derivative of -4*h**5/5 - 3*h**4 + 24*h**3 + 554. What is i in v(i) = 0?
-6, 0, 3
Let u(f) be the first derivative of -f**3 - 423*f**2/2 - 1644*f + 1945. Factor u(c).
-3*(c + 4)*(c + 137)
Let v(i) be the first derivative of 128 + 38/27*i**3 - 32/9*i + 2/3*i**2 - 1/2*i**4. Determine t, given that v(t) = 0.
-8/9, 1, 2
Let m be (-11)/33 + 122/(-3). Let h = m - -43. Factor -4*b**3 + 3*b**2 + 0*b**h + 8 - 3*b**2 + 12*b.
-4*(b - 2)*(b + 1)**2
Let f be (0 + 2)*(-120)/16. Let p(r) = r**3 + 14*r**2 - 20*r - 2. Let l be p(f). Solve 152 + 2*o**3 - 78 - 2*o - o**4 - l = 0 for o.
-1, 1
Let x be (-1*(-20)/15)/((-1)/(-6)). Factor 2*l**3 - 37*l**3 + x*l**4 - 3778*l**5 + 4*l**4 + 4*l**2 + 36*l - 16*l**2 + 3777*l**5.
-l*(l - 6)**2*(l - 1)*(l + 1)
Suppose -4*r + 4*j = 50 - 2, r = -j + 18. Find m, given that 3*m**r - 3/2*m**4 - 3*m + 3/2*m**2 + 0 = 0.
-1, 0, 1, 2
Let 5*q**2 - 60191 + 121381 - 140*q - 60710 = 0. Calculate q.
4, 24
Let x(a) be the first derivative of -a**4/28 + 20*a**3/21 + a**2/14 - 20*a/7 + 291. Factor x(u).
-(u - 20)*(u - 1)*(u + 1)/7
Let r(p) = p**3 - 75*p**2 - 155*p + 81. Let u be r(77). Suppose -h - 6 = -x, -5*h + 5 - 17 = u*x. Factor 2/13*q**3 + 0*q - 2/13*q**4 + 0 + 0*q**x.
-2*q**3*(q - 1)/13
Let s(i) = -4*i**2 + 380*i - 1268. Let y(r) = -4*r**2 + 366*r - 1267. Let v(d) = 5*s(d) - 4*y(d). Factor v(h).
-4*(h - 106)*(h - 3)
Let u(k) = 5*k**2 + 12*k - 16. Let j(p) = -3*p + 4. Let r(b) = -4*j(b) - u(b). Suppose r(o) = 0. What is o?
0
Suppose -21*p + 15 = -18*p. Suppose -6*n + a + 4 = -p*n, 5*a = n - 20. Find y, given that n - 2/5*y**3 + 0*y**2 + 1/5*y**5 + 1/5*y + 0*y**4 = 0.
-1, 0, 1
Suppose 2*y - a + 53 = -8, y - 5*a + 35 = 0. Let g be (-555)/y*(13 + 1). Determine r, given that -4*r + 3*r**3 + 4*r**4 - g + 259 + r**5 - 4*r**2 = 0.
-2, -1, 0, 1
Let j(k) be the second derivative of -k**9/83160 - k**8/12320 + k**7/1540 - k**6/792 + 25*k**4/4 - 153*k. Let i(w) be the third derivative of j(w). Factor i(c).
-2*c*(c - 1)**2*(c + 5)/11
Let d(r) be the first derivative of 0*r**2 + 15*r - 1/4*r**3 - 10 - 1/24*r**4. Let b(x) be the first derivative of d(x). Suppose b(i) = 0. Calculate i.
-3, 0
Let z be (-23)/(1242/42)*2/(-70). Let h(w) be the first derivative of -1/36*w**4 + 0*w**2 + z*w**5 + 0*w - 13 + 0*w**3. Factor h(c).
c**3*(c - 1)/9
Let a = -60 - -68. Let x be (-24)/(-11)*((-8)/(-3))/a. Factor -4/11 + x*s**2 - 10/11*s + 6/11*s**3.
2*(s - 1)*(s + 2)*(3*s + 1)/11
Let o(a) be the third derivative of 5/33*a**4 + 0 - 1/660*a**6 + 0*a**3 - 47*a + 4/165*a**5 - a**2. Factor o(l).
-2*l*(l - 10)*(l + 2)/11
Let -1/3*p**2 + 10 + 7/3*p = 0. Calculate p.
-3, 10
Let y = -2/6401 - -6437/115218. Let s(p) be the second derivative of 1/72*p**4 + 1/12*p**2 + 0 + y*p**3 + p. Factor s(k).
(k + 1)**2/6
Let w = -259912/5 - -52006. Determine z so that 80 + 24*z - 2/5*z**5 + 36/5*z**4 - w*z**3 - 436/5*z**2 = 0.
-2, -1, 1, 10
Suppose i = n - 1, -4*i + 24 = 61*n - 58*n. Find z, given that -11/7*z - 1/7*z**i - z**2 - 5/7 = 0.
-5, -1
Let o be 864/2016 + -1 + (-46)/(-7). Let h(t) be the first derivative of 1/5*t**2 + 0*t**5 + 1/15*t**o + 0*t**3 + 0*t - 1/5*t**4 + 33. Factor h(u).
2*u*(u - 1)**2*(u + 1)**2/5
Suppose 2*c - 36 = 4*l, 85 = 5*c + 5*l + 100. Let r(z) be the second derivative of 0 - z**2 + 21*z + 8/9*z**3 + 1/6*z**c. Factor r(w).
2*(w + 3)*(3*w - 1)/3
Let b be 1 + 14/(-10) + 1 + 4560/1900. Let f(m) be the first derivative of 4/3*m**b - 8 - 16*m**2 + 28*m. Factor f(i).
4*(i - 7)*(i - 1)
Let d = -99364 + 99366. Factor -14/11*n - 4/11*n**3 + 1/11*n**4 - 19/11*n**d + 0.
n*(n - 7)*(n + 1)*(n + 2)/11
Let u(z) = -6*z**2 + 26*z + 36. Let j be u(5). Let a(h) be the first derivative of -j*h - 18 - 1444/3*h**3 - 152*h**2. Find x, given that a(x) =