b?
-1/2, 26
Let k(p) be the first derivative of -p**6/45 - 8*p**5/75 + 4*p**3/9 + p**2/15 - 4*p/5 - 3474. Suppose k(w) = 0. Calculate w.
-3, -2, -1, 1
Let a(h) = -3*h**2 + 3*h + 3. Let x be a(0). Solve -2*o**4 - 16*o**2 + 3*o**4 + 32 + x*o**4 - 2*o**4 = 0.
-2, 2
Let o be 2 + 1 + (-6)/(-2). Let -14*y**5 + 32*y**5 - 15*y**5 + 3*y**3 + o*y**4 = 0. Calculate y.
-1, 0
Let p(u) be the second derivative of u**4/60 + 214*u**3/15 + 22898*u**2/5 + 3*u + 33. Factor p(f).
(f + 214)**2/5
Let b(h) be the first derivative of h**7/2100 - 2*h**6/225 + h**5/15 - 4*h**4/15 + 55*h**3/3 - 67. Let n(z) be the third derivative of b(z). Factor n(j).
2*(j - 4)*(j - 2)**2/5
Suppose i + 4*c - 12 = 0, 3*i = c + 9 + 14. Suppose 60 = 12*x + i*x. What is j in -15*j + 3*j**2 - 1/5*j**x + 25 = 0?
5
Let j(g) be the third derivative of -g**7/70 - 15*g**6 - 89999*g**5/20 + 75*g**4 + 45000*g**3 - 25*g**2 - 110. Suppose j(l) = 0. What is l?
-300, -1, 1
Let c be (40/16)/((18/(-380))/(-9)). Factor 0*j + 12*j**4 + 3*j**2 - 490*j**3 + 0*j + c*j**3.
3*j**2*(j - 1)*(4*j - 1)
Solve 2155*p - 2170*p**4 - 1692*p**2 + 96317*p**3 + 4*p**5 - 89837*p**3 + p**5 - 4778*p**2 = 0 for p.
0, 1, 431
Suppose -51*x - 2 + 2 = 0. Let r(s) be the second derivative of -1/102*s**4 - 5/51*s**3 - 6/17*s**2 + x - 25*s. Factor r(z).
-2*(z + 2)*(z + 3)/17
Let f be 5 + -9*7/21. Suppose -f*l = -l - 22*l. Factor -8/9*j**3 + l*j + 0*j**2 + 0 + 2/9*j**4.
2*j**3*(j - 4)/9
Suppose 4*x - s - s = 14, 5*x + 5*s - 10 = 0. Suppose -21 = -5*a - x*w + w, w - 9 = -2*a. Suppose -16*o**a + 10*o**2 - 7*o**2 + 11*o**3 + 7*o**2 = 0. What is o?
0, 2
Let r(l) = l**3 + 10*l**2 + 20*l - 19. Let d be r(-6). Suppose 9*f - d*f = -5*b - 2, 0 = 3*b - 3*f - 15. Suppose -14/5*g + 2*g**b + 4/5 = 0. What is g?
2/5, 1
Let b(o) be the third derivative of -2*o**5/45 + 83*o**4/72 - 5*o**3/3 - 294*o**2. Factor b(j).
-(j - 10)*(8*j - 3)/3
Suppose 5*f + 14 = 2*w, 0 = -3*f - 2 - 4. Let d be 162/45 + (20/25)/w. Factor -8/19*v + 70/19*v**3 + 16/19*v**2 - 150/19*v**d + 0.
-2*v*(3*v + 1)*(5*v - 2)**2/19
Let y(b) = 255*b + 10. Let v be y(-1). Let w = 247 + v. Factor 2*x**w - 2/3*x**3 + 2/3 - 2*x.
-2*(x - 1)**3/3
Let c be (6 - 195/(-20))*(-176)/(-660). Find t such that -c*t**3 + 111/5*t + 132/5*t**2 - 42/5 = 0.
-1, 2/7, 7
Let h(w) be the second derivative of w**5/30 - 13*w**4/3 + 676*w**3/3 + 57*w**2/2 - 20*w. Let p(v) be the first derivative of h(v). Factor p(k).
2*(k - 26)**2
Let h(s) be the first derivative of s**5/5 - 139*s**4/4 + 91*s**3 + 139*s**2/2 - 274*s - 7298. Suppose h(f) = 0. What is f?
-1, 1, 2, 137
Suppose 89*f - 39*f = 650. Suppose -14 = -4*g + 2*h, 0 = 5*g + 4*h - 8*h - f. Factor -1/3*n**g - 8/3*n**4 - 4/3 - 28/3*n**2 - 17/3*n - 22/3*n**3.
-(n + 1)**4*(n + 4)/3
Let x(u) be the first derivative of 3/2*u**4 + 57 - 3*u + u**3 - 3*u**2. Let x(f) = 0. Calculate f.
-1, -1/2, 1
Let c(t) = t**3 - 2*t**2 - 21*t + 61. Let a be c(6). Find h, given that 14*h + 2*h**3 + 13*h**2 - 91 + a + 3*h = 0.
-4, -3, 1/2
Let m(b) be the second derivative of -3/28*b**4 - 81*b + 45/14*b**2 + 0 + 3/140*b**5 - 13/14*b**3. What is o in m(o) = 0?
-3, 1, 5
Let o(l) be the second derivative of l**5/10 - 13*l**4/6 - 38*l**3 + 4*l - 189. Find v such that o(v) = 0.
-6, 0, 19
Let t(h) = 14 + 14 - 46 - h**3 - 2 + 19. Let s(n) be the first derivative of 3*n**4/2 + 8*n**3/3 - 6*n**2 + 2*n + 1. Let u(c) = s(c) + 2*t(c). Solve u(o) = 0.
-3, 0, 1
Let j = 1247662/571835 + -2/51985. Find t such that -32/11 + 2/11*t**3 - j*t + 0*t**2 = 0.
-2, 4
Let g(q) be the third derivative of -q**6/210 + 13*q**5/21 + 11*q**4/7 + 16*q**2 - 19*q. Let g(t) = 0. What is t?
-1, 0, 66
Factor 153 + 155/2*t + 1/2*t**2.
(t + 2)*(t + 153)/2
Let w(i) = -i + 12. Let r(l) = l**2 - 12*l + 20. Let g be r(11). Let o be w(g). Factor -26*n**3 + 31*n**o + 0*n**2 + 5*n**2.
5*n**2*(n + 1)
Let c(d) be the second derivative of d**4/12 - 31*d**3/6 + 29*d**2 - 1734*d. Factor c(q).
(q - 29)*(q - 2)
Let b(m) be the first derivative of -m**6/30 + 14*m**5/5 + 43*m**4/6 + 305*m**2/2 + 322. Let z(f) be the second derivative of b(f). What is h in z(h) = 0?
-1, 0, 43
Let t(u) be the third derivative of -8/45*u**6 + 2/9*u**5 + 0*u**3 - 3*u**2 + 0 + 0*u**4 - 1/504*u**8 + 13/315*u**7 + 50*u. Find q such that t(q) = 0.
0, 1, 2, 10
Let l be 336/(5 - 1) + (4 - 1). Let s be l/12 + (0 - 1/4). Let -3*j + 29*j**2 - s*j - 2 - 35*j**2 - 2 = 0. Calculate j.
-1, -2/3
Let a be ((-36)/(-5))/((-303)/(-101))*1. What is l in 2*l - 2/5*l**2 - a = 0?
2, 3
Let m be (9087/195 + -46)*(-10)/(-14). Let v = -4 - -7. What is p in -m*p - 3/7*p**2 + 3/7*p**v + 3/7 = 0?
-1, 1
Factor -11236/3 - 424/3*p - 4/3*p**2.
-4*(p + 53)**2/3
Solve 480/17*x**2 - 29736/17*x + 111392/17 - 2/17*x**3 = 0.
4, 118
Let u(o) be the first derivative of o**5/75 + o**4/3 + 32*o**3/15 - 51*o**2/2 - 55. Let y(w) be the second derivative of u(w). Factor y(k).
4*(k + 2)*(k + 8)/5
Let g be (14499/(-540) + 26)*-5. Determine n so that -19/8*n + 1/8*n**2 + g = 0.
2, 17
Let i(q) be the second derivative of -q**6/480 - q**5/40 - q**4/8 - q**3/3 + 12*q**2 + 121*q. Let d(f) be the first derivative of i(f). Factor d(p).
-(p + 2)**3/4
Let z(g) be the third derivative of g**5/270 - 167*g**4/54 + 27889*g**3/27 + 214*g**2. Solve z(q) = 0 for q.
167
Let q = -285667 + 285669. Find s such that 2/11*s**3 + 52/11*s**q - 52/11 - 2/11*s = 0.
-26, -1, 1
Let k = -107 - -109. Factor -67 + 2*l**2 + 267 + 0*l**k - 40*l.
2*(l - 10)**2
Let g be (-1)/10*6 - (-76)/10. Let u = g + -5. Solve 2*p**4 - 3*p + 76*p**3 + 0 - u + 10*p - 8*p**2 - p**5 - 74*p**3 = 0.
-2, 1
Factor -16*d**2 - 2/5*d**3 + 20412/5 + 54/5*d.
-2*(d - 14)*(d + 27)**2/5
Let q be 40/6*(-2 - (-2 - 3)). Suppose x + 3*x + 3*a = 0, q = -5*a. Factor -1/3*u**x + 0 + u**2 - 2/3*u.
-u*(u - 2)*(u - 1)/3
Let z(f) = -2*f**2 - 34*f - 116. Let n be z(-12). Let y be (n/(-10))/((-14)/5) - -1. Factor y + 2/7*j**3 - 2/7*j**2 - 8/7*j.
2*(j - 2)*(j - 1)*(j + 2)/7
Factor 90*b - 2/3*b**2 + 276.
-2*(b - 138)*(b + 3)/3
Factor -65 - 11 + 18*m + 16*m - m**2 + 3*m**2.
2*(m - 2)*(m + 19)
Factor -22/5*x**3 + 0 - 1/5*x**4 + 0*x - 21/5*x**2.
-x**2*(x + 1)*(x + 21)/5
Let p(w) = w + 12. Suppose 1 = 4*i - 3, 2*z + 17 = -3*i. Let d be p(z). Let 7*h + d*h - 8*h + 3*h + 4*h**2 = 0. What is h?
-1, 0
Suppose -52*h + 49*h = 4*t - 2, 3*t = 5*h + 16. Suppose -t*b - 88 + 96 = 0. Let 5/3*p**2 - 5/3*p**5 + 5/3*p**3 + 0 - 5/3*p**b + 0*p = 0. What is p?
-1, 0, 1
Let k(b) be the third derivative of -1/240*b**6 - 3/20*b**5 + b + 21*b**2 - 27/16*b**4 + 0 + 0*b**3. Factor k(s).
-s*(s + 9)**2/2
Factor 20/7*k**2 + 0*k + 2/7*k**4 + 0 + 22/7*k**3.
2*k**2*(k + 1)*(k + 10)/7
Suppose -3*c + 5*t = -3361, -4*c + 1664 = -5*t - 2819. Let y be ((-8)/(-6))/(c/153). Determine z so that -2/11*z**2 + 0*z + y*z**3 + 0 = 0.
0, 1
Let d(k) = k**2. Let l(s) be the third derivative of -s**5/6 + 5*s**4/3 - 35*s**3/6 + 60*s**2. Let o(m) = -5*d(m) - l(m). Factor o(x).
5*(x - 7)*(x - 1)
Find b, given that 637*b - 5*b**3 - 81*b - 106*b - 147*b**2 + 4*b**3 = 0.
-150, 0, 3
Let g(m) be the second derivative of 3*m**5/4 - 24*m**4 - 191*m**3/2 + 63*m**2 - 339*m. Factor g(l).
3*(l - 21)*(l + 2)*(5*l - 1)
Let v(m) = 28 + 18*m + m**3 + 2*m - 14 - 36 - 9*m**2. Let z be v(7). What is l in -z*l + 6*l**2 - 11*l**2 - 9 - 6 = 0?
-3, -1
Let u(c) = 2*c**4 - 2*c**3 + 3*c. Let j(v) = -20*v**4 + 56*v**3 - 16*v**2 - 38*v. Let o(q) = -j(q) - 6*u(q). Factor o(a).
4*a*(a - 5)*(a - 1)*(2*a + 1)
Let u(t) = -8*t**4 + 14*t**3 - 151*t**2 + 175*t. Let f(k) = 3*k**4 - 3*k**3 + 75*k**2 - 87*k. Let w(i) = 5*f(i) + 2*u(i). Factor w(q).
-q*(q - 17)*(q - 1)*(q + 5)
Let g(j) be the second derivative of j - 1/5*j**5 - 28/3*j**3 + 5 + 16*j**2 + 7/3*j**4. Suppose g(s) = 0. What is s?
1, 2, 4
Let p(s) be the third derivative of s**7/70 - 29*s**6/40 + 57*s**5/4 - 1067*s**4/8 + 605*s**3 + 59*s**2 + 2*s + 3. Solve p(r) = 0 for r.
2, 5, 11
Let n(k) be the first derivative of 49/2*k**2 + 48*k - 239 + 1/3*k**3. Factor n(a).
(a + 1)*(a + 48)
Suppose 5*t - 3*t - 5*i - 204 = 0, 196 = 2*t - 3*i. Solve -t*k + 47*k + 57*k + 2*k**2 + 16 = 0 for k.
-4, -2
Determine k so that 1/3*k**2 + 20/3 - 1/3*k**3 + 16/3*k = 0.
-2, 5
Let v(l) be the first derivative of 73*l**5/360 - l**4/144 - 245*l**2/2 + 118. Let p(s) be the second derivative of v(s). Factor p(q).
q*(73*q - 1)/6
Let u be (