v**2 - v**4 + 7*v**t - 80 + 100*v**3 - 21*v**4 = 0. Calculate v.
2/3, 2
Let i(z) = z - 13. Let u be i(7). Let p be ((-7)/1 + 3)*u/12. Factor -1/5*b**p - 6/5*b - 9/5.
-(b + 3)**2/5
Let a = -58 - -54. Let n be (1 - 12/a)/5. Factor -n*u**2 - 4/5*u + 0.
-4*u*(u + 1)/5
Suppose 3/7*k**3 - 165/7*k + 0 - 162/7*k**2 = 0. Calculate k.
-1, 0, 55
Let j be (-3)/(((-160)/15)/(-8) + -3). Determine k so that 6/5*k**2 + 12/5*k - j - 12/5*k**3 + 3/5*k**4 = 0.
-1, 1, 3
Let f(y) be the first derivative of 2/13*y**3 - 42 + 2/13*y**2 + 0*y**4 - 2/65*y**5 + 0*y. Find n, given that f(n) = 0.
-1, 0, 2
Let v(m) be the third derivative of -1/90*m**5 + 0*m + 0 + 0*m**3 + 5*m**2 + 1/18*m**4. Factor v(k).
-2*k*(k - 2)/3
Factor -16/5*q**2 - 6/5*q**3 - 8/5*q + 0.
-2*q*(q + 2)*(3*q + 2)/5
Let l(i) be the third derivative of i**10/1436400 - i**9/287280 + i**8/191520 - i**5/6 - 12*i**2. Let p(f) be the third derivative of l(f). Factor p(x).
2*x**2*(x - 1)**2/19
Let q(i) = -6*i**5 - 24*i**4 + 96*i**3 - 188*i**2 + 136*i. Let y(f) = 14*f**5 + 48*f**4 - 190*f**3 + 375*f**2 - 274*f. Let t(r) = -9*q(r) - 4*y(r). Factor t(o).
-2*o*(o - 4)**2*(o - 2)**2
Let i(m) be the second derivative of -m**8/5040 + m**6/180 - m**5/45 + 5*m**4/4 - 5*m. Let g(a) be the third derivative of i(a). Find j, given that g(j) = 0.
-2, 1
Let g(x) be the first derivative of x**6/120 - x**5/60 - 11*x**2/2 - 3. Let w(k) be the second derivative of g(k). Solve w(z) = 0.
0, 1
Let n(z) = 4*z**4 + 90*z**3 + 188*z**2 + 112*z. Let p(c) = c**4 + 30*c**3 + 63*c**2 + 37*c. Let x(k) = -3*n(k) + 10*p(k). Factor x(u).
-2*u*(u - 17)*(u + 1)**2
Suppose -47*c = -11*c. Let m(s) be the third derivative of c*s**5 - 1/30*s**6 + 0 + 1/6*s**4 + 0*s**3 + 2*s**2 + 0*s. Factor m(g).
-4*g*(g - 1)*(g + 1)
Suppose 68*u = 72*u + 3*w + 15, -3*u + 13*w + 65 = 0. Factor -2*x**2 - 1/2*x**3 + u - 3/2*x.
-x*(x + 1)*(x + 3)/2
Factor 0 - 19/8*a + 1/8*a**2.
a*(a - 19)/8
Find p such that 2*p**3 - 293*p**2 + 9259*p + 0*p**3 - 79*p**2 - 2833*p + 10872*p = 0.
0, 93
Let y(v) be the third derivative of 1/315*v**7 + 0*v**3 + 9*v**2 + 0 + 4/9*v**4 + 0*v + 4/45*v**5 - 7/180*v**6. Factor y(h).
2*h*(h - 4)**2*(h + 1)/3
Let j be (-3 + 2 - (-39)/(-15))*(-80)/360. Solve 0*r - 1/5*r**2 + j = 0 for r.
-2, 2
Let g(v) be the third derivative of v**7/12600 - v**5/150 + v**4/12 + 6*v**2. Let n(o) be the second derivative of g(o). Find a such that n(a) = 0.
-2, 2
Let p = -143 + 145. Let d(j) be the second derivative of 0*j**p + 0 - 1/3*j**3 + 1/20*j**5 + j - 1/12*j**4. Let d(v) = 0. What is v?
-1, 0, 2
Let q(l) be the third derivative of -5*l**8/1008 - 2*l**7/105 - l**6/90 + 98*l**2. Let q(w) = 0. What is w?
-2, -2/5, 0
Let -1/5*p + 1/5*p**2 - 2/5 = 0. Calculate p.
-1, 2
Let t(p) be the second derivative of -p**7/1470 - p**6/252 - p**5/210 + p**3/2 + 36*p. Let z(w) be the second derivative of t(w). Suppose z(s) = 0. What is s?
-2, -1/2, 0
Let a(b) be the third derivative of -1/96*b**6 + 7/240*b**5 + 0 - 1/120*b**7 + 8*b**2 + 0*b**3 + 0*b + 1/224*b**8 - 1/96*b**4. Find g such that a(g) = 0.
-1, 0, 1/6, 1
Let b(k) be the first derivative of k**4/10 - 2*k**3/3 + 26. What is m in b(m) = 0?
0, 5
Suppose 8*w + 26 = 9*w. Let d be w/(-91) - 32/(-14). Suppose 0*s**d - s**4 - 2*s**4 - 9*s + 3*s + 9*s**2 = 0. What is s?
-2, 0, 1
Find l, given that -4*l**2 - 3*l**3 + 0*l**4 - 3*l**4 + 3*l**4 + 3*l**4 - l**3 = 0.
-2/3, 0, 2
Let o(y) be the second derivative of -y**5/140 - y**4/21 - y**3/14 - y - 174. Determine r so that o(r) = 0.
-3, -1, 0
Let f be (-6)/(-2 - 0)*(40 - 39) - 3. Factor 1/5*m**2 + 2/5*m + f.
m*(m + 2)/5
Let y(g) be the third derivative of -3*g**2 - 1/16*g**3 + 0 + 0*g - 1/48*g**4 - 1/480*g**5. Factor y(j).
-(j + 1)*(j + 3)/8
Let q(o) be the second derivative of -4*o + 0 - 1/63*o**7 - 40/9*o**3 + 1/9*o**6 - 16/3*o**2 - 25/18*o**4 + 1/6*o**5. Factor q(w).
-2*(w - 4)**2*(w + 1)**3/3
Let t(y) be the first derivative of 4*y**3/3 - 108*y**2 + 2916*y - 28. Solve t(i) = 0 for i.
27
Let o(b) be the third derivative of b**8/35280 + 2*b**7/2205 + b**6/180 - 7*b**5/30 + 19*b**2. Let n(l) be the third derivative of o(l). Factor n(p).
4*(p + 1)*(p + 7)/7
What is h in -6*h**2 + 7*h**3 - 6*h**3 + 6*h + 5*h - 6*h = 0?
0, 1, 5
Let 48*w**3 + 16*w + 48*w**3 + 3*w**4 - 25*w**5 + 17*w**4 - 61*w**2 - 22*w**2 + 3*w**2 = 0. What is w?
-2, 0, 2/5, 2
Let n(q) = -q + 11. Let c be n(9). Let h(p) = p - 8. Let o be h(13). Factor -10*x + 40*x**c - 44*x**4 - 98*x**o - 96*x**4 + 6*x**3 + 2*x.
-2*x*(x + 1)**2*(7*x - 2)**2
Let g(z) = z**3 - 19*z**2 - 35*z - 3. Let d(s) = -s**3 + s**2 + s + 1. Suppose -1 - 5 = -x. Let a(r) = x*d(r) + 2*g(r). Let a(t) = 0. What is t?
-4, 0
Let o = 3850 - 3847. Determine b, given that -24/5*b + 12/5*b**2 - 3*b**4 + 3/5*b**5 + 18/5*b**o + 0 = 0.
-1, 0, 2
Let v(k) be the second derivative of -9/17*k**2 + 13*k + 0 - 4/17*k**3 + 2/85*k**5 + 1/51*k**4 - 1/255*k**6. Factor v(w).
-2*(w - 3)**2*(w + 1)**2/17
Let a(d) = 2*d**3 - 11*d**2 + 8*d. Let j(o) be the third derivative of -o**6/15 + 43*o**5/60 - 11*o**4/8 + 11*o**2. Let y(w) = -18*a(w) - 4*j(w). Factor y(i).
-2*i*(i - 6)*(2*i - 1)
Let b = 3 - 1. Let d be 40/18 + 4/(-18). Find m, given that -m - 6*m + 3*m**3 - 3*m**d - m + b*m = 0.
-1, 0, 2
Suppose 3*j = -2*q - 224, 2*q = -0*j - 5*j - 380. Let n be ((-3)/2 + j/(-60))/(-1). Determine x, given that 0*x**2 + 2/5*x**3 - 2/5*x - 1/5 + n*x**4 = 0.
-1, 1
Suppose -192*s**5 - 8374*s**4 - 740967*s**2 + 747738*s**2 - 2076*s + 189 - 2916*s**3 - 3770*s**4 = 0. What is s?
-63, -1, 1/4
Let d(q) be the first derivative of 0*q - 25/12*q**3 - 5/16*q**4 + 1/4*q**5 - 58 - 15/8*q**2. Let d(x) = 0. What is x?
-1, 0, 3
Let h(i) be the first derivative of -i**3 - 3/4*i**2 + 12 - 3/8*i**4 + 0*i. Factor h(u).
-3*u*(u + 1)**2/2
Let u = 614/3085 + 3/3085. Factor -u*r**3 - 5*r + 0 - 2*r**2.
-r*(r + 5)**2/5
Let c = 44 - 40. Suppose 247*z - c*z**2 - 48 - 106*z - 89*z = 0. Calculate z.
1, 12
Let z(i) be the first derivative of 3*i**6/5 - 96*i**5/5 + 232*i**4 - 1280*i**3 + 3072*i**2 - 16384*i/5 - 479. Factor z(j).
2*(j - 8)**3*(3*j - 4)**2/5
Determine n, given that -50/3*n**4 + 770/3*n + 2/3*n**5 - 242/3 - 860/3*n**2 + 380/3*n**3 = 0.
1, 11
Let x be (-1)/(-6) + (-220)/(-120). Factor 2/13*g**3 - 10/13*g + 2/13*g**x + 6/13.
2*(g - 1)**2*(g + 3)/13
Let r be -3 + ((-12)/(-2) - -2). Let s be 4/40*4*r. Find o, given that -o + o**s + 3*o + 2 - 5*o = 0.
1, 2
Let j(r) be the third derivative of 0 - 1/75*r**6 + 0*r + 1/20*r**4 + 34*r**2 + 1/840*r**8 + 0*r**3 - 1/75*r**5 + 2/525*r**7. Solve j(g) = 0 for g.
-3, -1, 0, 1
Let y be 1/(-2) + (-5 - (-291)/6). Let f = -128/3 + y. Factor 1/3 + f*u**2 + 2/3*u.
(u + 1)**2/3
Let l(g) be the third derivative of g**7/560 + 9*g**6/320 + 27*g**5/160 + 31*g**4/64 + 3*g**3/4 + 2*g**2 - 64. Find u such that l(u) = 0.
-4, -3, -1
Let n be (-1)/((3/18)/(-1)). Suppose n*g - 7 = 11. Factor 3*h + 4*h**g + 0*h**3 - 3*h + h**4 + 4*h**2.
h**2*(h + 2)**2
Let l(f) be the first derivative of -f**4/12 - 5*f**3/6 - 2*f**2 + 11*f + 33. Let d(g) be the first derivative of l(g). Factor d(c).
-(c + 1)*(c + 4)
Let k(n) be the second derivative of n**6/360 - n**5/60 + 5*n**3 + 39*n. Let c(b) be the second derivative of k(b). Factor c(y).
y*(y - 2)
Let v(a) be the second derivative of -a**9/10080 - a**8/1920 - a**7/1008 - a**6/1440 - 7*a**4/12 + 7*a. Let n(p) be the third derivative of v(p). Factor n(j).
-j*(j + 1)**2*(3*j + 1)/2
Let y = 217 - 216. Let x be (90/(-48) + y)*(-9)/21. Factor -15/8*c - 3/4 - 3/4*c**2 + 3/2*c**4 + 3/2*c**3 + x*c**5.
3*(c - 1)*(c + 1)**3*(c + 2)/8
Let y = -651 + 1338. Find j, given that 685*j**3 - y*j**3 - 3*j**2 + 4*j + 5*j**2 = 0.
-1, 0, 2
Suppose -143*n - 10 = -2*i - 139*n, 4*n + 4 = 0. Find z such that -1/4*z**4 + 0*z + 0 - 1/2*z**2 + 3/4*z**i = 0.
0, 1, 2
Let d(w) be the second derivative of -w**6/165 + 3*w**5/22 - 8*w**4/11 - 64*w**3/33 - 335*w. Factor d(r).
-2*r*(r - 8)**2*(r + 1)/11
Let a = -15942 - -15947. Suppose 0 + 0*g**2 + 1/2*g**3 + 0*g**4 + 0*g - 1/2*g**a = 0. What is g?
-1, 0, 1
Let l(p) be the first derivative of p**6/1800 + p**5/600 - p**4/60 + 2*p**3 + 11. Let o(b) be the third derivative of l(b). Determine d, given that o(d) = 0.
-2, 1
Let p(l) = -11*l**4 + 65*l**3 - 14*l**2 - 55*l + 5. Let h(x) = 18*x**4 - 98*x**3 + 22*x**2 + 82*x - 8. Let g(k) = -5*h(k) 