 5301 = 102*z + 5097. Determine i, given that 18/5*i**4 + 0*i - 22/5*i**3 + 0 + 4/5*i**z = 0.
0, 2/9, 1
Let u be 2/(((-44)/(-8))/11). Let q be u/(-6)*(-20)/40. Factor -q*v**3 - 1/3*v + 0 - 2/3*v**2.
-v*(v + 1)**2/3
Let t(o) be the first derivative of 19*o**3/2 - 51*o**2/2 + 45*o/2 - 275. Determine b, given that t(b) = 0.
15/19, 1
Let t be (66/(-99))/((-2)/3) - -2. Suppose 0*d**2 - 2/9*d**4 + 0*d + 0 - 4/9*d**t = 0. Calculate d.
-2, 0
Let u(g) be the first derivative of -g**3/6 - 71*g**2/2 - 5041*g/2 + 178. Suppose u(k) = 0. What is k?
-71
Let q = 5/6 + -7/6. Let g = 5/6 + q. Suppose g*b + 1/2*b**3 - b**2 + 0 = 0. What is b?
0, 1
Factor 5/3*o + 1/6*o**4 - 19/6*o**2 + 4/3*o**3 + 0.
o*(o - 1)**2*(o + 10)/6
Find d, given that 27/2 + 1/4*d**2 - 29/4*d = 0.
2, 27
Let f be -1*3/3*-11. Let k = f - 7. Factor 3*c**3 - 3*c**4 - 4*c**3 - c**5 + 5*c**k.
-c**3*(c - 1)**2
Suppose 0 = 3467*o - 3429*o. Solve 0*z**2 - 4/3*z**3 + 0 + 2/3*z**4 + o*z = 0 for z.
0, 2
Let s(i) be the first derivative of i + 5/3*i**3 - 3/8*i**4 - 9/4*i**2 - 8. Factor s(l).
-(l - 2)*(l - 1)*(3*l - 1)/2
Factor -4/5 + 2/5*w**2 + 2/5*w**4 - 6/5*w**3 + 6/5*w.
2*(w - 2)*(w - 1)**2*(w + 1)/5
Suppose 55 = -5*j - 30. Let q be (1/(-21))/(j/102). Let -2/7*p**5 + 0 + 2/7*p**4 + 0*p + q*p**3 - 2/7*p**2 = 0. Calculate p.
-1, 0, 1
Let n(z) be the first derivative of z**6/180 - z**5/24 + z**4/9 - z**3/9 + 8*z - 11. Let i(c) be the first derivative of n(c). Find t, given that i(t) = 0.
0, 1, 2
Let a(r) = -3*r**5 + 4*r**4 + 2*r**3 - 4*r**2 - 9*r. Let v(t) = -3*t**5 + 4*t**4 + t**3 - 4*t**2 - 10*t. Let s(k) = -6*a(k) + 5*v(k). Find n such that s(n) = 0.
-1, -2/3, 0, 1, 2
Suppose 1532 = 6*g - 922. Solve 106 + 5215*s**3 - 320*s - 843*s**2 - g*s**4 - 571*s**4 - 6 - 672*s**2 = 0 for s.
-1/4, 2/7, 5
Let t(k) be the third derivative of -k**5/20 - 13*k**4/4 - 69*k**3/2 + 151*k**2 + 2. Factor t(u).
-3*(u + 3)*(u + 23)
Let m(o) be the first derivative of o**5/48 + 5*o**4/12 + 5*o**3/2 - 2*o**2 - 3*o - 36. Let s(v) be the second derivative of m(v). What is a in s(a) = 0?
-6, -2
Let v(u) be the first derivative of -u**5/25 + 3*u**4/10 + 16*u**3/15 - 87. What is q in v(q) = 0?
-2, 0, 8
Let u(n) be the second derivative of n**4/4 - n**3/2 - 3*n**2 + 111*n. Solve u(t) = 0 for t.
-1, 2
Let w(j) be the first derivative of -1/15*j**6 - 4/5*j + 7/5*j**2 + 1/5*j**4 + 4/25*j**5 - 16/15*j**3 + 4. Factor w(f).
-2*(f - 1)**4*(f + 2)/5
Let c(d) be the first derivative of -2*d**5/5 + 3*d**4/2 + 10*d**3/3 - 3*d**2 - 8*d - 175. Factor c(p).
-2*(p - 4)*(p - 1)*(p + 1)**2
Let d(l) = l**3 + 8*l**2 + 11*l - 4. Let w be d(-6). Suppose -1 + 9 = w*t. Factor -4*y**3 + t*y**3 - 5*y**3 + 5*y**2.
-5*y**2*(y - 1)
Factor -u**3 + 0*u + 0 - 7/3*u**5 - 10/3*u**4 + 0*u**2.
-u**3*(u + 1)*(7*u + 3)/3
Suppose 328 = -5*u + 2*g - 0*g, -4*u - 262 = -2*g. Let v = u - -66. Let -41/2*b**3 - b - 10*b**5 - 24*b**4 + v - 15/2*b**2 = 0. What is b?
-1, -1/2, -2/5, 0
Find h such that -7*h**3 - 10*h**2 + h**3 + 9*h**3 + 8*h + 17*h**2 - 4*h**3 = 0.
-1, 0, 8
Factor 23*c**2 - 847 + 265*c + 1297 - 3*c**2.
5*(c + 2)*(4*c + 45)
Factor 11*q**4 + 102 - 141*q**3 - 6*q**4 + 11*q**4 + 20*q**4 - 3*q**5 + 144*q - 294 + 156*q**2.
-3*(q - 4)**3*(q - 1)*(q + 1)
Let z(r) be the second derivative of r**4/36 + 47*r**3/9 + 2209*r**2/6 - 118*r + 2. Factor z(h).
(h + 47)**2/3
Let 1/2*z**3 + 29/2*z + 10 + 5*z**2 = 0. What is z?
-5, -4, -1
Let g(h) be the first derivative of -5*h**3/9 + 5*h/3 - 103. Suppose g(w) = 0. Calculate w.
-1, 1
Let f(r) = 6*r**2 - 27*r + 39. Let t(l) = l**2 - 6*l + 10. Let a(b) = -2*f(b) + 9*t(b). Let a(j) = 0. What is j?
-2, 2
Let l(z) be the third derivative of -z**6/720 + z**5/120 + z**4/16 - 5*z**3/3 - 9*z**2. Let b(p) be the first derivative of l(p). Suppose b(x) = 0. Calculate x.
-1, 3
Let c(f) = 6*f**2 - 5*f + 12. Let a be c(3). Find j, given that -a*j - j**2 + 51*j + 4 = 0.
-2, 2
Let a = -19517 + 19517. What is m in 0*m + a - 12/7*m**3 - 4/7*m**2 + 12/7*m**5 + 4/7*m**4 = 0?
-1, -1/3, 0, 1
Let u(v) = -6*v**2 + 260*v - 1502. Let m(f) = 2*f**2 - 88*f + 500. Let j(r) = 17*m(r) + 6*u(r). Solve j(z) = 0 for z.
16
Let -4*u**5 + 24 + 21*u**4 - 4 + 12 + 32*u**4 - 21*u**4 - 4*u + 8*u**3 - 64*u**2 = 0. What is u?
-1, 1, 8
Let d(i) be the second derivative of -i**4/66 + 17*i**3/33 - 411*i. Solve d(z) = 0.
0, 17
Let r(f) = 3*f**2 + 2*f + 1. Let h(w) = w**3 - 4*w**2 - 2*w + 7. Let x be h(4). Let u be r(x). Factor 0*k - 5*k + k + u*k + 2*k**2.
2*k*(k - 1)
Factor -3*m**2 + m**2 - 3623 + 3625.
-2*(m - 1)*(m + 1)
Solve 0*t**3 - 2/5*t**4 + 0*t**2 - 2/5*t**5 + 0*t + 0 = 0 for t.
-1, 0
Suppose b + 1 = 0, -7*b + 6*b = -x + 3. Let c(p) be the first derivative of -4 - 4/3*p**3 + 4*p**x + 0*p. Factor c(r).
-4*r*(r - 2)
Let p(z) be the third derivative of z**5/180 - 5*z**4/18 + 19*z**3/18 - 12*z**2 + 2. Factor p(t).
(t - 19)*(t - 1)/3
Let m(k) be the third derivative of k**9/4914 + k**8/1560 + k**7/2730 - k**6/2340 + 13*k**3/6 + 24*k**2. Let r(j) be the first derivative of m(j). Factor r(l).
2*l**2*(l + 1)**2*(4*l - 1)/13
Let v(t) be the first derivative of -t**6/280 - t**5/140 + t**4/14 + 2*t**3/7 + 9*t**2 - 18. Let d(u) be the second derivative of v(u). Factor d(y).
-3*(y - 2)*(y + 1)*(y + 2)/7
Let i(w) be the third derivative of -w**8/17920 - w**7/2240 - w**6/960 - 17*w**4/24 + 13*w**2. Let n(l) be the second derivative of i(l). Factor n(a).
-3*a*(a + 1)*(a + 2)/8
Let q(u) = 2*u**3 - 9*u**2 - 8*u + 12. Let a be q(5). Let w be (-28)/7 + (-13)/a. Suppose 0*i - 2/3*i**3 - 1/3*i**2 - w*i**4 + 0 = 0. What is i?
-1, 0
Suppose 5*j = -5*m, -4*j - 28 = -2*m + 2. Let x(o) be the second derivative of 0*o**3 - 1/4*o**4 + 6*o + 0 + 0*o**2 + 3/20*o**m. Factor x(n).
3*n**2*(n - 1)
What is p in -14 + 262*p**2 + 0*p**3 - 33*p - 235*p**2 - 39*p + 62 - 3*p**3 = 0?
1, 4
Suppose -49/5*a - 1/5*a**3 + 0 - 14/5*a**2 = 0. Calculate a.
-7, 0
Solve -178 - 18*k**2 + 9*k + 154 - 30*k - 3*k**3 - 15*k = 0 for k.
-2
Let q(y) be the second derivative of y**4/4 - 13*y**3/2 - 72*y**2 - 111*y. Factor q(h).
3*(h - 16)*(h + 3)
Let k(l) be the first derivative of -l**5/10 - 2*l**4/3 - l**3 + 16*l - 30. Let p(v) be the first derivative of k(v). Find u, given that p(u) = 0.
-3, -1, 0
Suppose 2*g - 10 = -3*g. Let o = g - -6. Factor -4*k**2 - o*k + 19 - 19.
-4*k*(k + 2)
Let v(b) = 5*b - 26. Let m be v(6). Suppose -4*h = -t + 1, 0 = 4*h + t - m + 3. Solve h - 3/5*d**2 - 3/5*d**3 + 6/5*d = 0.
-2, 0, 1
Let r(s) be the third derivative of -s**5/240 - s**4/6 + 134*s**2. Suppose r(c) = 0. Calculate c.
-16, 0
Suppose 2*l = 3*l - 1. Let x be 224/16 - (1 - l). Factor x*p**3 + 16*p**4 + 0*p**4 - 2*p**3.
4*p**3*(4*p + 3)
Let d(r) = r**3 - 5*r**2 + 2*r + 4. Let k be d(5). Let h be (-48)/(-21) - k/49. Factor 3/4*y**h - 3/4 + 0*y.
3*(y - 1)*(y + 1)/4
Let l = 115/228 + -8/19. Let m(r) be the third derivative of 0 - 1/60*r**6 - 1/6*r**3 + 0*r**5 + 0*r + l*r**4 + 2*r**2 + 1/210*r**7. Factor m(o).
(o - 1)**3*(o + 1)
Determine v so that 2/13*v**3 + 0 - 44/13*v**4 + 0*v + 44/13*v**2 - 2/13*v**5 = 0.
-22, -1, 0, 1
Let x be 1/5 - (-18)/10. Suppose -8*y**3 - 10*y**5 + x*y**5 - 4*y**3 + 11*y**5 = 0. Calculate y.
-2, 0, 2
Let c(v) = -2*v + 6. Let b be c(-2). Suppose 7*r = 9*r - b. Factor 8*n - 2*n + 17 - n + r*n**2 - 27.
5*(n - 1)*(n + 2)
Let d(s) be the first derivative of -2*s**3/3 - s**2 + 40*s + 32. Factor d(p).
-2*(p - 4)*(p + 5)
Let i(m) = 5*m**3 - 5*m**2 + 10*m - 10. Let t = -53 + 38. Let z(n) = n**2 - n. Let x(o) = t*z(o) + i(o). Solve x(c) = 0.
1, 2
Let q(s) = -2*s + 7. Let x be (-49)/(-14)*16/28. Let p be q(x). Factor 14*h - 6 + 2*h**p + 34/3*h**2.
2*(h + 3)**2*(3*h - 1)/3
Find x, given that 44*x**2 + 39*x**2 - 4*x**3 - 99*x**2 + 20*x = 0.
-5, 0, 1
Suppose 18*k = -0*k + 9*k. Suppose 2/9*j**2 + k + 0*j = 0. What is j?
0
Let l be (-4)/(-6) + 8/((-48)/(-26)). Let n be 2/(-8)*(1 - 37/l). What is m in -2*m + n + 2/5*m**2 = 0?
1, 4
Factor -94*b**2 + 1037*b + 22 - 8*b**3 - 2133*b + 1032*b.
-2*(b + 1)*(b + 11)*(4*b - 1)
Let w(b) = 9 + 3*b**2 - 5*b**2 - 14*b + 4*b + b**2. Let r be w(-10). Factor -2*h - r*h**3 + h**2 + 0*h + 8*h**3 - 4*h**2.
-h*(h + 1)*(h + 2)
Let x = 38 - 32. Let r(w) = -w**3 + w**2 + w + 1. Let j(b) = -2*b**4 + 4*b**3 - 4*b - 10. Let h(o) = x*r(o) + j(o). Factor h(k).
-2*(k - 1)**2*(k + 1)*(k + 2)
Suppose 0 - 3/5*s**3