 derivative of -7/6*c**4 + 0*c + 20/3*c**3 - 2/105*c**7 - 3/5*c**5 + 11 + 7/30*c**6 - 5*c**2. Suppose v(n) = 0. Calculate n.
-1, 1, 2, 5
Let r = 953 - 626. Let a = -327 + r. Find d, given that -4/7*d**4 - 2/7*d**5 + 0 + 0*d**2 - 2/7*d**3 + a*d = 0.
-1, 0
Let t(o) be the second derivative of -o**8/40320 + o**6/1440 + o**5/360 - o**4/2 - 5*o**2/2 + 107*o. Let i(z) be the third derivative of t(z). Factor i(k).
-(k - 2)*(k + 1)**2/6
Let c be (-7)/21 - ((-55)/462)/((-2)/(-8)). Factor t - 6/7 - c*t**2.
-(t - 6)*(t - 1)/7
Let h(z) = -5*z**5 + 8*z**4 + 9*z**3 - 20*z**2 - 6*z + 4. Let f(v) = -v**5 + 2*v**4 + v**3 + 4*v**2 + v - 2. Let m(b) = -2*f(b) - h(b). Let m(u) = 0. What is u?
-1, -2/7, 0, 1, 2
Factor 4 + 51/2*p - 35/2*p**2.
-(5*p - 8)*(7*p + 1)/2
Let p(o) be the first derivative of 1/18*o**6 + 4/3*o**5 + 59/6*o**4 + 123 + 0*o + 27/2*o**2 + 20*o**3. What is d in p(d) = 0?
-9, -1, 0
Let z = -1059 - -1061. Let x(i) be the second derivative of -1/84*i**7 - 9*i + 0*i**z - 1/12*i**4 + 1/30*i**6 + 1/12*i**3 + 0 + 0*i**5. Factor x(h).
-h*(h - 1)**3*(h + 1)/2
Let g(c) be the first derivative of -2*c**3/7 - 132*c**2/7 + 6975. Determine i so that g(i) = 0.
-44, 0
Factor -4/7*v**3 - 40/7*v**2 - 360/7 + 276/7*v.
-4*(v - 3)*(v - 2)*(v + 15)/7
Let p(j) = 4*j + 22. Let u be p(-4). Suppose 0 = -27*d + 21*d + u. What is f in -17*f**3 + d + 2 - 3*f**5 - 7 + 23*f**2 - 16*f**3 + 17*f**4 = 0?
-1/3, 1, 2
Let u be 1070/210 - 5 - 2/21. Let o(d) be the second derivative of 1/3*d**3 + u*d**2 + 0 - 12*d - 1/20*d**5 + 1/12*d**4. Suppose o(l) = 0. Calculate l.
-1, 0, 2
Factor 22/15*p + 8/15*p**2 - 2/15*p**3 + 4/5.
-2*(p - 6)*(p + 1)**2/15
Let u(m) be the first derivative of 7*m**6/6 + 46*m**5/5 + 101*m**4/4 + 86*m**3/3 + 12*m**2 + 572. Let u(r) = 0. Calculate r.
-3, -2, -1, -4/7, 0
Let s = 74836/9 - 149429/18. Determine o so that -27/2 - 1/2*o**3 - 9/2*o**2 - s*o = 0.
-3
Factor 348*n**2 + 4*n**4 + 6687*n + 177*n**3 - 97*n**3 - 7119*n.
4*n*(n - 1)*(n + 9)*(n + 12)
Let y = 43 - 40. Factor 76*m + 4*m**y - 40 - 15*m - 48*m**2 + 41*m - 2*m - 16*m.
4*(m - 10)*(m - 1)**2
Let d be 9 - 11 - (1 - (-3798)/(-15)). Let u = 251 - d. Suppose -u*l**2 + 0 + 12/5*l = 0. What is l?
0, 3
Let g be (43452/(-720) - -62) + 4/(-10). Factor -1/4*n**4 - 4*n - 9/2*n**2 - 2*n**3 - g.
-(n + 1)**3*(n + 5)/4
Let l(n) be the second derivative of n**6/60 + 13*n**5/40 + 47*n**4/24 + 59*n**3/12 + 6*n**2 - 3011*n. Factor l(c).
(c + 1)**2*(c + 3)*(c + 8)/2
Factor 5280*h**2 - 481/11*h**3 + 0 - 57600/11*h + 1/11*h**4.
h*(h - 240)**2*(h - 1)/11
Suppose -y - 137 = -s + 719, 1717 = -2*y + s. Let n = y + 866. Factor 10/11*x**2 + 0 + 2/11*x**n - 6/11*x**3 - 2/11*x**4 - 4/11*x.
2*x*(x - 1)**3*(x + 2)/11
Suppose -54*q = -77*q + 54*q - 124. Let -3/4*w**2 + 0*w**3 - 1/2*w + 0 + 1/4*w**q = 0. Calculate w.
-1, 0, 2
Let d(k) = 2298*k**2 + 1521*k + 216. Let j(t) = -6*t**2 + t - 3. Let w(b) = -d(b) + 9*j(b). Determine a, given that w(a) = 0.
-9/28
What is v in 14*v**2 - 216579 + 215673 + 904*v - 12*v**2 = 0?
-453, 1
Let r be 1*3*(-1 + -17 - (-149)/((-19668)/(-2464))). Determine w so that -2/9*w**r + 16/9 - 14/9*w = 0.
-8, 1
Let v(o) be the first derivative of o**6/600 + 9*o**5/200 + 7*o**4/20 + 2*o**3/3 - 46*o**2 + 75. Let c(q) be the third derivative of v(q). Factor c(i).
3*(i + 2)*(i + 7)/5
Let a(u) = 16*u**4 + 13*u**3 + 17*u**2 - 135*u - 155. Let p(j) = -3*j**4 - 2*j + 1. Let h(n) = -a(n) - 5*p(n). Let h(f) = 0. Calculate f.
-10, -5, -1, 3
Let d be (((-9)/(-6))/(6/(-8)))/(-1). Let k(w) be the first derivative of -16/21*w**3 + 0*w + 27 - 1/7*w**4 - 8/7*w**d. Find s, given that k(s) = 0.
-2, 0
Let p(r) be the second derivative of 13/6*r**3 + 3*r**2 + 52*r + 0 - 1/20*r**5 + 7/12*r**4 - 1/30*r**6. Factor p(a).
-(a - 3)*(a + 1)**2*(a + 2)
Solve 176/5 - 8/5*j**2 + 34*j - 2/5*j**3 = 0.
-11, -1, 8
Let o be 10/(-4)*4/(-10) - -42. Factor 11 + 7 + 46*t**2 - o*t**2 + 15*t - 6.
3*(t + 1)*(t + 4)
Let i = -171/23 - -3637/483. Let c(b) be the first derivative of -21 + 0*b**2 + 0*b + i*b**3. Factor c(u).
2*u**2/7
Let g(w) be the third derivative of w**6/720 - w**5/10 - 451*w**4/144 - 23*w**3/2 - 5*w**2 - w + 96. Find s such that g(s) = 0.
-9, -1, 46
Suppose -2/7*z**2 - 320/7*z + 1312/7 = 0. Calculate z.
-164, 4
Suppose -24 + 36 = 4*z. Factor 70 + z*m**4 - 3*m**2 - 70 + 6*m - 6*m**3.
3*m*(m - 2)*(m - 1)*(m + 1)
Let p(t) be the first derivative of -28*t**5/5 - 33*t**4 - 16*t**3/3 + 120*t**2 - 64*t - 294. Let p(d) = 0. What is d?
-4, -2, 2/7, 1
Let d be -45*11*(1 - (-45)/(-25)). Let i be ((-12)/(-33))/(936/d). Solve i - 6/13*s**2 + 0*s + 4/13*s**3 = 0 for s.
-1/2, 1
Let p(m) be the second derivative of 2*m**3 - 15/2*m**2 + 2*m + 2 + 1/4*m**4. Determine z, given that p(z) = 0.
-5, 1
Suppose 0 = 76*l - 10892 + 10740. Factor -32/11 - 12/11*n + 2/11*n**l.
2*(n - 8)*(n + 2)/11
Let i(s) be the second derivative of 1/100*s**5 + 3/10*s**2 + 7/30*s**3 + 9 - s + 1/12*s**4. Factor i(u).
(u + 1)**2*(u + 3)/5
Find b such that -2/7*b**3 + 120/7 - 242/7*b + 124/7*b**2 = 0.
1, 60
Let i(k) = 15*k**3 + k**2 + 27*k - 27. Let v be i(1). Suppose 4*q - v = l, -15*l + 10*l - 20 = 0. Let -49/6 + 1/6*d**q + 21/2*d - 5/2*d**2 = 0. Calculate d.
1, 7
Let u(a) = a**3 - 185*a**2 - 29*a + 715. Let o(f) = 2*f**3 - 277*f**2 - 43*f + 1073. Let y(d) = -5*o(d) + 7*u(d). Suppose y(k) = 0. What is k?
-2, 2, 30
Let x(q) be the second derivative of q**4/3 + 688*q**3/3 + 4*q + 129. Let x(g) = 0. Calculate g.
-344, 0
Let k(r) be the third derivative of -r**5/270 + 16*r**3/3 - 4*r**2 + 43. Factor k(x).
-2*(x - 12)*(x + 12)/9
Let w(f) = -2*f**2 - 104*f + 1389. Let a be w(11). Let 1/8*x**4 + 3/4*x - 7/8*x**2 + 0 + 0*x**a = 0. What is x?
-3, 0, 1, 2
Let a(b) be the second derivative of -b**5/60 + 5*b**4/4 - 2*b + 88. Solve a(r) = 0.
0, 45
Let x(u) be the second derivative of -5*u**4/12 - 817*u**3/6 - 163*u**2 - 2894*u + 2. Factor x(i).
-(i + 163)*(5*i + 2)
Let n(p) be the first derivative of -5*p**7/42 - 5*p**6/3 - 25*p**5/4 - 161*p - 67. Let s(m) be the first derivative of n(m). What is b in s(b) = 0?
-5, 0
Let 16/7 - 2*m - 2/7*m**2 = 0. What is m?
-8, 1
Let n be -1*1 - (2 + -7). Let j be (85/10)/(1/4*2). Suppose 0*g**n + 22*g**3 - 5*g**4 - j*g**3 = 0. What is g?
0, 1
Let o(m) = 4*m - 5. Let t be o(2). Suppose 10 = 2*f + d, 4*d - t = 3*f - 18. Factor 2*r + 10*r**2 - 5 + 10*r**3 - r - 6*r - 5*r**4 - f*r**5.
-5*(r - 1)**2*(r + 1)**3
Let n(h) be the second derivative of 0 - 1/7*h**3 + 108*h + 1/21*h**4 - 9/7*h**2. Factor n(b).
2*(b - 3)*(2*b + 3)/7
Let v = -3/47 - -1002/235. Factor -108/5 - 384/5*k - v*k**2.
-3*(k + 18)*(7*k + 2)/5
Let b = -21 + 39. Let m be (-30)/b*36/(-20). Suppose -3*f**3 - 3*f**4 + 3*f + 155 + m*f**2 - 155 = 0. Calculate f.
-1, 0, 1
Determine v so that -822/5*v + 1/5*v**2 + 168921/5 = 0.
411
Let x(d) be the first derivative of -d**7/1680 - d**6/30 - 3*d**5/5 + 212*d**3/3 - d**2/2 + 165. Let i(k) be the third derivative of x(k). Factor i(j).
-j*(j + 12)**2/2
Let z(a) = -195*a**3 - 1925*a**2 - 2698*a - 1024. Let x(f) = -98*f**3 - 962*f**2 - 1348*f - 512. Let q(j) = 5*x(j) - 2*z(j). Factor q(o).
-4*(o + 8)*(5*o + 4)**2
Let 1/2*k**5 - 37/2*k - 19*k**2 - 6*k**3 - 6 + k**4 = 0. What is k?
-3, -1, 4
Factor 2/17*l**3 + 22/17*l**2 + 0 - 52/17*l.
2*l*(l - 2)*(l + 13)/17
Suppose 10*g - 12 = -14*g - 21*g + 39*g. Let m be ((-6)/20)/(6/(-5)). Find w, given that 0 + 1/2*w + m*w**g = 0.
-2, 0
Let s(f) be the first derivative of 162*f**4 + 28*f + 240*f**3 - 108/5*f**5 + 124*f**2 + 36. Let s(h) = 0. Calculate h.
-1/3, 7
Let k be (-14080)/(-990) + 14/(-1). Let n(p) be the second derivative of -3*p + 0 - 1/9*p**3 - k*p**2 - 1/54*p**4. Factor n(u).
-2*(u + 1)*(u + 2)/9
Let i(q) be the second derivative of -q**7/42 - 17*q**6/15 - 24*q**5/5 - 47*q**4/6 - 31*q**3/6 - 1224*q + 1. Factor i(c).
-c*(c + 1)**3*(c + 31)
Let l(o) be the second derivative of -o**6/135 + 18*o**5/5 - 13442*o**4/27 + 3840*o**3 - 102400*o**2/9 - 46*o + 10. Find x such that l(x) = 0.
2, 160
Suppose -1656 = -4*n - 1684. Let s be 7 - (n/(-14))/(9/122). Solve -s*f**3 + 2/9*f**2 + 16/9*f - 8/3 = 0 for f.
-3, 2
Let l(f) be the third derivative of f**6/40 - 6*f**5/5 + 45*f**4/8 - 11*f**3 - 140*f**2 - 1. Factor l(w).
3*(w - 22)*(w - 1)**2
Let o be (-366)/(-12078) - (-255)/297. Solve -2/9*a**4 + 14/9*a**2 + 4/9*a**3 + o*a + 0 =