 (-186)/(-45). Let z be (-12)/270*63/(-21). Suppose -z*p**3 + 4/15 + l*p - 2/5*p**2 + 2/15*p**4 = 0. Calculate p.
-1, 1, 2
Let y be -6 + 104/17 - (-15)/306. Suppose 0 + 1/6*i**2 + y*i = 0. Calculate i.
-1, 0
Let l(f) be the first derivative of -f**3/9 - 3*f**2/2 - 14*f/3 - 100. Factor l(r).
-(r + 2)*(r + 7)/3
Let i(v) = -108*v + 2160. Let b be i(20). Suppose 0*p**3 - 4/5*p**4 + b + 4/5*p**2 + 2/5*p**5 - 2/5*p = 0. Calculate p.
-1, 0, 1
Let h(d) = -48*d**2 - 23*d. Let k(j) = 46*j**2 + 21*j. Let f(l) = 3*h(l) + 4*k(l). Solve f(p) = 0.
-3/8, 0
Suppose 8 = -2*n + 22. Let o be 2 - ((-16)/(-32))/((-1)/2). What is t in -10*t - 3/2*t**o - 4 - n*t**2 = 0?
-2, -2/3
Let d(a) = a**3 + 2*a**2 - 2*a + 1. Let s(h) = -25*h**2 + 2*h - 1. Let z(t) = -d(t) - s(t). Factor z(v).
-v**2*(v - 23)
Let d(y) be the third derivative of 0*y - 7/156*y**4 - 16*y**2 - 1/13*y**3 - 1/780*y**6 + 0 - 1/78*y**5. Solve d(c) = 0.
-3, -1
Let s be ((-66)/8 + 8)*(-1)/(2/16). Let -2/3*w**s + 1/3*w**3 + 2 - 5/3*w = 0. Calculate w.
-2, 1, 3
Suppose -4*n + 25 + 19 = 0. Let c(f) = 2*f**2 - 13. Let r(m) = -m**2 + 7. Suppose 5*o = 3*j - 33, -3*o - 26 = -4*j + 7. Let t(d) = j*c(d) + n*r(d). Factor t(a).
(a - 1)*(a + 1)
Let y(z) be the second derivative of 0 + 301/60*z**6 + z + 43/5*z**5 + 11/3*z**3 + z**2 + 7/6*z**7 + 181/24*z**4. Find k such that y(k) = 0.
-1, -1/2, -2/7
Suppose -25 = 200*t - 205*t. Let l(h) be the first derivative of 2/45*h**t + 2/9*h**2 + 0*h**4 - 2/9*h**3 - 11 + 0*h. Factor l(z).
2*z*(z - 1)**2*(z + 2)/9
Let h(k) = -3*k + 26. Let g be h(7). Suppose q**4 + 6*q**4 - 2*q**4 - g*q**2 - 12*q**3 - 5*q + 17*q**3 = 0. What is q?
-1, 0, 1
Let b = -2568 - -64208/25. Factor -b*j + 0 + 2/25*j**2.
2*j*(j - 4)/25
Let l(k) be the third derivative of k**7/140 + 11*k**6/240 - 19*k**5/80 + k**4/4 - 4*k**3/3 - 8*k**2. Let y(f) be the first derivative of l(f). Factor y(j).
3*(j - 1)*(j + 4)*(4*j - 1)/2
Let j(i) = 36*i**3 + 36*i**2 - 24*i + 16. Let d(v) = -7*v**2 + 2*v**2 - 3 + 5*v - v**2 - v**2 - 7*v**3. Let w(x) = 16*d(x) + 3*j(x). Factor w(o).
-4*o*(o - 1)*(o + 2)
Let t(m) be the third derivative of -m**6/24 - 15*m**5/4 - 145*m**4/8 - 215*m**3/6 - 34*m**2 - 3*m. Find j, given that t(j) = 0.
-43, -1
Let 10/13*h**4 - 8/13*h**3 - 4/13*h**5 + 0 + 0*h + 2/13*h**2 = 0. What is h?
0, 1/2, 1
Let g(w) be the first derivative of -w**6/33 + 8*w**5/55 + 8*w**4/11 - 4*w**3/3 - 15*w**2/11 + 36*w/11 + 161. Find b such that g(b) = 0.
-3, -1, 1, 6
Let r be (-60)/(-6) - (10 - 7 - -5). Let 0 - 2/3*g - 2*g**3 - 2*g**r - 2/3*g**4 = 0. What is g?
-1, 0
Suppose -k + 2 = 58*x - 57*x, 2*x - k = 4. Solve 0 + 16/7*m**3 + 0*m + 2/7*m**4 + 0*m**x = 0.
-8, 0
Factor t**2 - 7*t + 15*t - 20 + 0*t**2.
(t - 2)*(t + 10)
Let a(d) be the second derivative of 0*d**3 - 2*d + 0 - 1/5*d**5 + 1/6*d**4 + 0*d**2. Factor a(z).
-2*z**2*(2*z - 1)
Let x(z) be the third derivative of 1/780*z**6 - 1/390*z**5 + 0 + 0*z**4 + 1/728*z**8 + 1/273*z**7 + 3*z**2 + 0*z**3 + 0*z. Find j such that x(j) = 0.
-1, 0, 1/3
Let p(o) be the second derivative of 3*o**5/5 - 2*o**4/3 - 14*o**3/3 - 4*o**2 + 86*o + 2. Solve p(y) = 0.
-1, -1/3, 2
Let w be (9/(-45))/(3/(-30)). Find q, given that 0 + 0*q - 1/4*q**w = 0.
0
Let p = 5 + -1. Suppose -1 + p = d. Determine r so that -2*r**2 - 7 + 8*r + r + d*r - 11 = 0.
3
Let v = 635/21 - 193/7. Solve -2/9*c**4 - 8/9 - 26/9*c**2 + v*c + 4/3*c**3 = 0.
1, 2
Let n be (5 - 7)*(0 - 1). Suppose 5*x - 21 = 2*x. Factor -6*t**4 + 11*t**4 + 2*t**n - x*t**4.
-2*t**2*(t - 1)*(t + 1)
Factor 84/5*j - 2/5*j**2 - 882/5.
-2*(j - 21)**2/5
Let a(g) = -g**3 + g**2 - 2*g + 112. Let x be a(0). Factor 100*p**2 + 2*p**4 - x*p**2 + p**4 + 6*p + 9 - 6*p**3.
3*(p - 3)*(p - 1)*(p + 1)**2
Suppose -3*v + 5*v = 14. Suppose -2*j + v = 3. Factor -3*y**3 + 2*y**j - 2*y**2 - 3*y**2 + 0*y**3.
-3*y**2*(y + 1)
Let y(l) = 44*l**2 - l - 1. Let n be y(-1). Let o = n + -40. Factor -o + 7/2*k**3 - 9*k**2 - 1/2*k**4 + 10*k.
-(k - 2)**3*(k - 1)/2
Let m be (-180)/(-75) + 4/(-10). Suppose 3*y + m*w = 9, -2 - 4 = -2*y - 3*w. Let y - 4 - 2 + 5*v**2 - 2*v**2 = 0. Calculate v.
-1, 1
Let i be 5/(-7 - -27*(-3)/(-9)). What is g in 10*g + 10*g**2 + i*g**3 + 0 = 0?
-2, 0
Suppose 12*y = 15 + 21. Solve 3*g**3 + 41*g**4 - 4*g**2 - 37*g**4 - y*g**3 - 2*g**5 + 2*g = 0.
-1, 0, 1
Suppose 0 = 5*l - 2*s - 12, s = -l + 4*s + 5. Factor -102*a + 2*a**l + 90*a + 2*a**2.
4*a*(a - 3)
Let l(k) be the second derivative of -k**7/168 - k**6/30 + 3*k**5/16 + 7*k**4/24 - 7*k**3/6 - 3*k**2 + 247*k. Suppose l(m) = 0. What is m?
-6, -1, 2
Let l = 37 - 58. Let p(v) = -3*v**3 + 7*v**2 - 7*v - 7. Let f(k) = -k**3 + 2*k**2 - 2*k - 2. Let y(q) = l*f(q) + 6*p(q). Find i such that y(i) = 0.
0
Let l = -41 + 43. Let i be (-3 - (-4 - -2))*0. Factor m - 3*m - 2*m**2 + l*m**4 + i*m**2 + 2*m**3 + 0*m**4.
2*m*(m - 1)*(m + 1)**2
Let 12/5*z + 0 - 18/5*z**2 + 14/15*z**4 + 2/15*z**5 + 2/15*z**3 = 0. Calculate z.
-6, -3, 0, 1
Let w(c) be the second derivative of c**4/12 + c**3 - 7*c**2/2 + 14*c. Let k be w(-7). Factor q**4 - q**2 - 1/2*q**5 + k + 1/2*q + 0*q**3.
-q*(q - 1)**3*(q + 1)/2
Let d(h) = -7*h**3 + 29*h**2 - 3*h - 1. Let w be d(4). Let -225/2*z**2 - 215/4*z - 10*z**4 - 35/4 - 85*z**w = 0. Calculate z.
-7, -1/2
Suppose -5*t + 10 = -5*x, -x + 10 = -4*t + 6*t. Let d(y) = -y**3 - y - 2. Let n be d(-1). Solve 0 - 8/5*z**3 + 2/5*z**4 + 8/5*z**x + n*z = 0.
0, 2
Factor 2/7*d**2 - 38/7 - 36/7*d.
2*(d - 19)*(d + 1)/7
Let f(s) = 10*s**2 - 5*s - 35. Let v(i) = 7*i**2 - 3*i - 23. Let k(z) = -5*f(z) + 7*v(z). Let c be k(6). Factor -1/4*j**4 - 3/4*j**3 - 1/4*j + 0 - 3/4*j**c.
-j*(j + 1)**3/4
Factor -8/3*s**2 + 10/3*s**4 + 0 + 2/3*s**5 + 4*s**3 - 16/3*s.
2*s*(s - 1)*(s + 2)**3/3
Let v(a) be the first derivative of -2*a**5/7 - 2*a**4/7 + 18*a**3/7 - 18*a**2/7 + 127. Find n, given that v(n) = 0.
-3, 0, 1, 6/5
Suppose 4*f = -647 + 455. Let v = -48 - f. Determine n so that 3/4*n + v + 15/8*n**2 + 9/8*n**3 = 0.
-1, -2/3, 0
Let x(q) be the first derivative of -3/20*q**4 - 2/5*q**2 + 0*q - 2/25*q**5 + 1/30*q**6 - 18 + 8/15*q**3. Factor x(y).
y*(y - 2)*(y - 1)**2*(y + 2)/5
Let q be (2/5)/((4/10)/1). Let j be (12/9)/q - 6/(-9). Factor -1/2*w + 1/2*w**j - 1/8*w**3 + 0.
-w*(w - 2)**2/8
Let c(s) = 5*s**3 - 178*s**2 + 880*s + 475. Let x(z) = 14*z**3 - 536*z**2 + 2640*z + 1422. Let f(d) = -10*c(d) + 3*x(d). Factor f(r).
-4*(r - 11)**2*(2*r + 1)
Factor 11*j + 13*j**4 + 26*j**4 + 112*j**3 + 5*j**5 + 144*j**2 - j**5 - 3*j**4 + 53*j.
4*j*(j + 1)*(j + 2)**2*(j + 4)
Let c(d) be the second derivative of -15*d + 0*d**2 + 0 + d**4 + 1/5*d**5 + 4/3*d**3. Factor c(p).
4*p*(p + 1)*(p + 2)
Let a = 40 + -26. Suppose -4*c = 5*t - 26, 0 = t + c + 2*c - a. What is h in -16 - 6*h**3 - 2*h**2 + 10*h**3 + 14*h**t = 0?
-2, 1
Let w = -47 + 51. Factor 20 - b**5 - 80*b - 80*b**2 - 32*b**3 - 8*b**3 - 52 - 10*b**w.
-(b + 2)**5
Suppose 12 = -5*p + 22. Suppose p*k + 1 = 5. Factor 0 - 2/3*g + 2/3*g**k.
2*g*(g - 1)/3
Let z be (-2 + (-8)/(-6))/(2/(-6)). Suppose 8*t + 2*t = z*t. Let 0*u**2 + 0*u - 1/2*u**4 + u**3 + t - 1/2*u**5 = 0. Calculate u.
-2, 0, 1
Let y(x) be the second derivative of -1/15*x**5 + 0 - 8/3*x**2 - 5/9*x**4 - 25*x - 16/9*x**3. Suppose y(r) = 0. Calculate r.
-2, -1
Let r be (1 + (-879 - -1))*18/99. Let c = r - -160. Solve 2/11*h**5 + 0*h + 0*h**3 + 8/11*h**2 + 0 - c*h**4 = 0.
-1, 0, 2
Let l(v) be the first derivative of 7*v**2 - 1 - 8/3*v**3 - 4*v - 2*v**4. Factor l(j).
-2*(j + 2)*(2*j - 1)**2
Let t(f) be the first derivative of f**6/288 + 5*f**5/96 - 6*f**3 + 15. Let o(j) be the third derivative of t(j). Suppose o(z) = 0. What is z?
-5, 0
Suppose -2*i - 4 = -j, 0*j + 4*i + 16 = 4*j. Let b = 115 - 113. Solve -j*p + 30*p**2 + 8 - 18*p**2 - 16*p**b = 0.
-2, 1
Let u = 1 - 1. Let k be (-45)/(10125/(-975))*(0 + (-4)/(-26)). Factor u*g + 2/3*g**2 - k.
2*(g - 1)*(g + 1)/3
Let z(v) = -v**3 - v**2. Let f(g) = -3*g**4 - 12*g**3 - 9*g**2. Let c(l) = -f(l) + 12*z(l). Determine d, given that c(d) = 0.
-1, 0, 1
Let d(l) be the third derivative of 5*l**2 - 1/80*l**5 + 0*l**4 + 1/1344*l**8 + 0 + 1/280*l**7 + 3*l - 1/480*l**6 + 0*l**3. Determine t so that d(t) = 0.
-3, -1, 0, 1
Let x(p) be the third derivative of p**6/300 - p**5/6 - 168*p**2. Let x(b) = 0. What is b?
0, 25
Solve -9/2*u**3 + 21/4*u**2 + 3/4*u**4 - 6 + 9/2*u = 0 for u.
-1, 1, 2, 4
Let a(b) be the s