+ 16/3*u = 0.
0, 1, 2
Let j(i) be the second derivative of 1/15*i**4 - 2/25*i**5 + 2/15*i**3 + 2/105*i**7 - i - 1/75*i**6 - 1/5*i**2 + 0. Suppose j(q) = 0. What is q?
-1, 1/2, 1
Let m be ((-8)/(-3) + -3)*-123. Let k = 44 - m. Let f(u) = -4*u**2 - 6*u + 8. Let n(r) = -4*r**2 - 7*r + 8. Let j(p) = k*f(p) - 2*n(p). Factor j(o).
-4*(o - 1)*(o + 2)
Let l(j) be the first derivative of -j**7/210 - j**6/120 + j**5/60 + j**4/24 + 11*j**2/2 + 5. Let v(k) be the second derivative of l(k). What is i in v(i) = 0?
-1, 0, 1
Let z(b) be the first derivative of -4/3*b**3 + 0*b**2 + b**4 + 4/5*b**5 - 2/3*b**6 + 0*b - 1. Find l such that z(l) = 0.
-1, 0, 1
Let z(i) = 2*i - 31. Let l be z(20). Let v(c) = -5*c**4 + 17*c**3 - 8*c - 13. Let d(m) = m**4 - 4*m**3 + 2*m + 3. Let s(h) = l*d(h) + 2*v(h). Solve s(t) = 0.
-1, 1
Factor -4*c - 51*c + 18*c**2 + 16*c + 18 - 12.
3*(c - 2)*(6*c - 1)
Let i(v) = -86*v**4 - 618*v**3 - 210*v**2 + 268*v - 54. Let r(c) = -170*c**4 - 1234*c**3 - 421*c**2 + 534*c - 109. Let g(w) = -13*i(w) + 6*r(w). Factor g(y).
2*(y + 1)*(y + 6)*(7*y - 2)**2
Let d(s) be the third derivative of 3*s**8/952 - 52*s**7/1785 + 7*s**6/68 - 41*s**5/255 + s**4/17 + 8*s**3/51 + 5*s**2 - 19. Solve d(h) = 0.
-2/9, 1, 2
Let a(s) be the second derivative of -7/15*s**3 - 29*s - 1/30*s**4 + 0 + 0*s**2. Factor a(r).
-2*r*(r + 7)/5
Let n(w) = -7*w**3 - 62*w**2 - 207*w - 152. Let i(a) = -15*a**3 - 125*a**2 - 415*a - 305. Let y(v) = -2*i(v) + 5*n(v). Suppose y(q) = 0. Calculate q.
-6, -5, -1
Let s be (-15)/(-14) - (8 + (590/(-7))/10). Let j = 10 + -8. Factor 3/2*a**3 + s*a**4 + 0*a + 0*a**j + 0.
3*a**3*(a + 1)/2
Let h(y) be the third derivative of -y**7/1575 + y**6/225 + y**5/90 - y**4/5 + 4*y**3/5 + 17*y**2 - 2*y. Suppose h(l) = 0. Calculate l.
-3, 2, 3
Let h = 185 - 181. Let k(o) be the second derivative of -3*o + 0 + 0*o**2 - 1/4*o**h - o**3. Suppose k(z) = 0. Calculate z.
-2, 0
Let 132*y + 45*y**3 + 137*y**2 - 48*y**3 - 53*y**2 - 36*y**3 - 288 = 0. Calculate y.
-24/13, 2
Suppose 13 - 13 = 3*o. Let z(k) be the third derivative of 0*k**7 + 0*k**3 + 5*k**2 + 0*k**5 - 1/12*k**4 + 0*k + 1/30*k**6 - 1/168*k**8 + o. Factor z(f).
-2*f*(f - 1)**2*(f + 1)**2
Let d(g) be the third derivative of -g**5/65 + 19*g**4/156 + 20*g**3/39 - 380*g**2. Solve d(p) = 0.
-5/6, 4
Let d(l) = 5*l**3 - 11*l**2. Let g(v) = 3*v + 5. Let u be g(-2). Let q(s) = s**2. Let w(m) = u*d(m) + 4*q(m). Solve w(b) = 0.
0, 3
Let w = 10 - 8. Factor f**2 + 3*f**2 - 11*f**2 + w - 2*f + 7*f.
-(f - 1)*(7*f + 2)
Let n(z) be the second derivative of z**8/420 - z**6/75 + z**4/30 + 5*z**2 + 3*z. Let j(f) be the first derivative of n(f). Factor j(w).
4*w*(w - 1)**2*(w + 1)**2/5
Let y(i) = i**2 + 1. Let x(z) = 4*z**2 - 2*z + 5. Let j(p) = p. Let b(f) = 15*j(f) + 3*x(f). Let d(g) = -b(g) + 15*y(g). Let d(c) = 0. What is c?
0, 3
Let l(h) = 1. Let o(u) = -2*u**2 + 10*u - 30. Let b = -8 + -18. Let z = b + 28. Let q(r) = z*o(r) + 44*l(r). Let q(i) = 0. What is i?
1, 4
Suppose 3*f - 2*o + 47 = 0, 4*o = 3*f + 72 - 17. Let g be (f/(1365/(-12)))/((-2)/(-5)). What is v in -g*v + 2/7*v**2 + 0 = 0?
0, 1
Let u = 0 - 3. Let a be (-11 - -2)/(2 + u). Factor -6 - 54*q**3 + q**3 + 54*q**4 + 24*q**2 + a*q - 13*q**3 - 15*q**5.
-3*(q - 1)**4*(5*q + 2)
Let m = 948 - 948. Let 0*v**2 + 0 - 1/3*v**4 + m*v - 1/6*v**3 = 0. What is v?
-1/2, 0
Let v = 2653 + -2651. Factor 1/3*s - 1/3*s**3 - s**v + 1/3*s**4 + 2/3.
(s - 2)*(s - 1)*(s + 1)**2/3
Let a = 11/32 + -113/352. Let l = 21/44 + a. Determine g, given that -g**2 + 1/2*g**4 - l*g**3 + 1/4*g + 1/2 + 1/4*g**5 = 0.
-2, -1, 1
Let c(j) = -2*j**3 - 12*j**2 - 6*j. Let r be c(-6). Suppose -4*g - r = -10*g. Let 3*v**2 + 18*v - 27/2 - 3/2*v**4 - g*v**3 = 0. Calculate v.
-3, 1
Let n be (7 - (-23)/(-4))*4. Let u(k) be the third derivative of 1/60*k**5 + 1/24*k**3 + 0 - n*k**2 + 5/96*k**4 + 0*k. Determine z so that u(z) = 0.
-1, -1/4
Factor 0 + 2/3*y**5 + 14/3*y**4 + 22/3*y**3 + 10/3*y**2 + 0*y.
2*y**2*(y + 1)**2*(y + 5)/3
Let p(a) = -11*a**3 + 35*a**2 - 26*a + 5. Let s(l) = 6*l**3 - 18*l**2 + 12*l - 3. Let w(n) = 3*p(n) + 5*s(n). Factor w(i).
-3*i*(i - 3)*(i - 2)
Let h(x) = 13 + 35*x - 85*x**4 + 62*x**2 - 34*x**2 + 22 + 57*x**2. Let r(v) = -5*v**4 + 5*v**2 + 2*v + 2. Let f(n) = 2*h(n) - 35*r(n). Solve f(w) = 0 for w.
-1, 0, 1
Suppose -5*t + 0*t = -20. Find r, given that -12*r - 5*r**3 + 5 + 15*r**2 - 7*r + t*r = 0.
1
Let w(a) be the third derivative of 4/9*a**3 + 44*a**2 + 0 + 1/90*a**6 + 4/45*a**5 + 5/18*a**4 + 0*a. Factor w(g).
4*(g + 1)**2*(g + 2)/3
Let d be (-430)/344*(22/(-10) + 2). Factor -d*f**2 + 0 + 1/4*f.
-f*(f - 1)/4
Let 0*x + 0*x**2 + 1/5*x**3 + 0 = 0. Calculate x.
0
Let d(v) = 55*v**2 - 185*v - 165. Let l(a) = -13*a**2 + 46*a + 41. Let u(b) = 6*d(b) + 25*l(b). Factor u(q).
5*(q + 1)*(q + 7)
Let p(m) = 2*m**2 + 4*m + 2. Let d be p(-2). Let k be 77/147 - 54/126. Determine w so that 2/21*w**3 - 2/21*w**d - k*w + 2/21 = 0.
-1, 1
Let t(x) be the third derivative of -x**8/4200 - x**7/2100 + 5*x**3/6 - 2*x**2. Let f(p) be the first derivative of t(p). Suppose f(z) = 0. What is z?
-1, 0
Let t(v) = v**2 + 9*v - 34. Let c be t(-12). Factor -192*h**c - 144*h - 13 + 5 - 19.
-3*(8*h + 3)**2
Suppose -i = -5 + 2. Determine y, given that 6*y**3 - 3*y**5 + 12*y**2 + 6*y**i - 62*y**4 + 59*y**4 = 0.
-2, -1, 0, 2
Let w(z) = -237*z**4 - 48*z**3 + 264*z**2 - 6*z + 27. Let o(h) = -34*h**4 - 7*h**3 + 38*h**2 - h + 4. Let s(r) = 27*o(r) - 4*w(r). Let s(g) = 0. Calculate g.
-1, -1/10, 0, 1
Factor -51*j**2 - 25*j**4 + 4*j - j**2 + 49*j**3 - 19*j**4 + 43*j**3.
-4*j*(j - 1)**2*(11*j - 1)
Let a(u) be the first derivative of -7*u**2/2 - 39*u + 51. Let y be a(-6). Factor -1/2*t**2 - 1/4*t**4 + 0 + 0*t + 3/4*t**y.
-t**2*(t - 2)*(t - 1)/4
Let z = 751/1510 - -2/755. Factor -1 + 1/2*p**2 + z*p.
(p - 1)*(p + 2)/2
Let k(o) be the third derivative of -o**8/84 - 6*o**7/35 - o**6 - 46*o**5/15 - 11*o**4/2 - 6*o**3 + 2*o**2 - 81*o. Factor k(w).
-4*(w + 1)**3*(w + 3)**2
Let u = 5114 - 5112. Let 2/3*n**u + 2/3*n**5 - 2/3*n**4 + 0 - 2*n**3 + 4/3*n = 0. What is n?
-1, 0, 1, 2
Let q be (-14 + 11)*(2/(-6) - -3). Let b(v) = -9*v - 4*v**2 + v - 8*v - 8. Let p(z) = z**2 + 5*z + 3. Let a(n) = q*p(n) - 3*b(n). Find g, given that a(g) = 0.
-2, 0
Determine s so that 3*s**2 + 0 + 3/4*s**5 - 21/4*s**3 + 3/2*s**4 + 0*s = 0.
-4, 0, 1
Factor -4/3*h**2 - 16/3*h + 128/3.
-4*(h - 4)*(h + 8)/3
Suppose 19*d = 22*d - 12. Let y(j) be the second derivative of j + 0*j**2 + 1/40*j**5 + 1/24*j**3 + 1/16*j**d + 0. Solve y(m) = 0 for m.
-1, -1/2, 0
What is l in -110*l**3 + 594873 + 384*l**2 - 31827*l + 109*l**3 + 497854 - 75*l**2 = 0?
103
Let x be (1 - 116/20)*5. Let s = 26 + x. Determine u, given that u**3 + 2*u**3 + 2*u**s + u**3 - 10*u**2 = 0.
0, 2
Factor 11/3*j + 8 - 1/6*j**2.
-(j - 24)*(j + 2)/6
Suppose -p + 9 = 0, 7*p = -5*f + 51 + 12. Suppose -3*b = -3 - 9. Determine x, given that f*x + 0*x**3 - 3/7*x**b + 0*x**2 - 3/7*x**5 + 0 = 0.
-1, 0
Suppose 0*p + 3*p - 3*d + 57 = 0, 3*p + 41 = -5*d. Let q = -15 - p. What is h in 3*h**2 - q - 14 + 2*h**2 - h**2 = 0?
-2, 2
Let f(q) = 7*q**2 + 2*q + 21. Let m(n) = 3*n**2 + n + 10. Let v(z) = 4*f(z) - 9*m(z). Let g(h) = -h**2 + 5. Let p(t) = 6*g(t) + 4*v(t). Solve p(y) = 0 for y.
-3, 1
Let x(y) be the second derivative of -16/5*y**2 - 49/75*y**6 + 0 + 84/25*y**5 + 5*y - 44/15*y**4 - 32/5*y**3. Find b, given that x(b) = 0.
-2/7, 2
Let n be 16 + (12/8 - 2/(-4)). Let r be (n/10 - 1) + 0. Factor 0*i + 2/5*i**3 - r*i**2 + 0.
2*i**2*(i - 2)/5
Let x(u) = 2*u**3 + 29*u**2 + 14*u + 4. Let p be x(-14). Factor -5*o**4 + 97*o**3 + 1 - p - 107*o**3 + 10*o + 8.
-5*(o - 1)*(o + 1)**3
Let o(h) be the third derivative of -h**7/420 - 13*h**6/240 - 19*h**5/40 - 33*h**4/16 - 9*h**3/2 + 888*h**2. Find c, given that o(c) = 0.
-6, -3, -1
Let t(b) be the first derivative of -2/15*b**5 + 0*b**3 + 0*b - 21 + 0*b**2 + 1/6*b**4. Factor t(w).
-2*w**3*(w - 1)/3
Let z(y) be the third derivative of y**6/120 + 11*y**5/60 - y**4/2 + 192*y**2. Solve z(c) = 0.
-12, 0, 1
Determine m so that 72*m + 4*m**3 - 23*m + 139*m - 3*m**3 + 44*m**2 + 184 + 6*m**2 = 0.
-46, -2
Let y(n) be the first derivative of n**4/4 - 13*n**3/3 + 23*n**2/2 - 11*n - 75. Factor y(u).
(u - 11)*(u - 1)**2
Let 6 + 3/2*l**3 + 15/2*l**2 + 12*l = 0. What is l?
-2, -1
Let c(x) be the second d