v(w) = 0.
0, 1
Suppose 1868/5*d - 1248/5 + 6/5*d**2 = 0. Calculate d.
-312, 2/3
Factor -2/7*r**3 - 75088/7 + 1026*r - 132/7*r**2.
-2*(r - 19)**2*(r + 104)/7
Let w(i) = 10 + 15*i**3 + 11 - 9. Suppose 16*v - 31 = 34 - 49. Let f(u) = u**3 - u**2 - u + 1. Let c(j) = v*w(j) - 12*f(j). Factor c(k).
3*k*(k + 2)**2
Let b(y) be the first derivative of -7*y**4/4 - 86*y**3/9 - 109*y**2/6 - 44*y/3 - 4587. Suppose b(f) = 0. Calculate f.
-44/21, -1
Let x be 155/465*(-5)/(-2)*6/10. Factor 35*h - 1225/2 - x*h**2.
-(h - 35)**2/2
Let p(k) be the first derivative of 9*k**5 - 201*k**4/16 - 115*k**3/4 + 6*k**2 + 3*k - 1777. Solve p(m) = 0 for m.
-1, -2/15, 1/4, 2
Factor 142/7*d**2 + 12/7 + 430/7*d.
2*(d + 3)*(71*d + 2)/7
Let w = 40 - 38. Suppose -w*z + 73 = 19. Factor z + 3*l**2 + 23*l + 0 - 5*l.
3*(l + 3)**2
Let c = 40694 - 40692. Find r, given that -3 - 3/4*r**c + 15/4*r = 0.
1, 4
Let m be ((-2)/(-4))/(1/10). Suppose -17 + 30 + 41 = 18*k. Factor -k*l**4 - l**m + 10*l - 10*l - 2*l**5.
-3*l**4*(l + 1)
Suppose -l - 13 = -4*q, 4*l = -4*q + l + 9. Factor 29*x**2 + 10*x**3 - 46*x**2 + 20*x**2 - 7*x**q - 6*x.
3*x*(x - 1)*(x + 2)
Factor -16*j**3 + 1359*j**2 + 7406387 + 9*j**3 + 64464*j + 10*j**3 + 140745*j + 2922466.
3*(j + 151)**3
Let m = 8280471/20 + -2070099/5. Factor -m*d + 1/4*d**2 - 17/2.
(d - 17)*(d + 2)/4
Let o be (-2)/(((-48)/360)/(1/5)). Solve r - 5*r + 258*r**2 - 252*r**2 - 5 + 4*r**o - r**4 = 0.
-1, 1, 5
Suppose 701*a - 84 = 694*a. Let t be (a*1/(-1))/((-14)/4). Factor -40/7*z + 48/7*z**2 - t*z**3 + 12/7 + 4/7*z**4.
4*(z - 3)*(z - 1)**3/7
Let i(d) = d**3 + 44*d**2 - 2*d - 85. Let x be i(-44). Let c(h) be the first derivative of -1/8*h**2 - 1/12*h**x + 1/4*h + 1/16*h**4 - 8. Factor c(j).
(j - 1)**2*(j + 1)/4
Let b be (-1722)/(-1230) + (-6)/(-10). Let u(q) be the second derivative of 2/11*q**3 + 0 - 15*q + 1/66*q**4 + 9/11*q**b. Find p such that u(p) = 0.
-3
Let c(i) be the first derivative of -1/2*i**3 - 15/4*i**2 - 9*i + 116. Determine j, given that c(j) = 0.
-3, -2
Let m(v) be the first derivative of 3*v**4/4 - 4*v**3 - 117*v**2/2 - 162*v - 1247. Determine h, given that m(h) = 0.
-3, -2, 9
Let z(i) be the first derivative of -1/15*i**2 + 0*i - 54 - 2/15*i**3. Factor z(c).
-2*c*(3*c + 1)/15
Factor -8459*t**3 + 4*t**2 - 20*t**2 + 8457*t**3.
-2*t**2*(t + 8)
Let y(x) be the first derivative of x**7/21 - x**6/30 - x**5/6 + x**4/6 - x**2 - 3*x - 101. Let t(d) be the second derivative of y(d). Factor t(z).
2*z*(z - 1)*(z + 1)*(5*z - 2)
Let s(i) be the first derivative of -12*i**5/5 + 891*i**4/4 + 837*i**3 + 2301*i**2/2 + 693*i - 4756. Solve s(f) = 0 for f.
-1, -3/4, 77
Let f be (-5)/(-550)*(-15 + 1)*(-13 - -3). Suppose 12/11*i**3 + 4/11*i**2 - 10/11*i**4 - f*i + 2/11*i**5 + 6/11 = 0. What is i?
-1, 1, 3
Let h(o) be the third derivative of o**7/945 + o**6/45 + 26*o**5/135 + 8*o**4/9 + 64*o**3/27 + 865*o**2. Suppose h(s) = 0. Calculate s.
-4, -2
Suppose 3*q = -m - 10, 6 = 4*m + m + q. What is c in -44*c**3 + 12*c**m + 85*c**3 - 40*c**3 + 20*c = 0?
-10, -2, 0
Suppose -85 = 2*r + f, -r - 4*f + 60 = -3*r. Let g = -37 - r. Find z, given that 99 - 4*z**4 - 28*z**g - 99 - 60*z**2 - 36*z = 0.
-3, -1, 0
Let z be 8/(56/333) - (-6)/14. Let y be (-1 - -2)/(66/z). Factor 2/11*b**2 + 10/11*b + y.
2*(b + 1)*(b + 4)/11
Let z(g) = 6*g**3 + g + 1. Let d be z(-1). Let q be ((11 + d)/15)/(1/18). Suppose -33/5*m - 3/5*m**2 - q = 0. What is m?
-10, -1
Let s = -697053/46 + 30307/2. Factor 0 + 0*g**2 + s*g**4 + 0*g**3 + 0*g - 2/23*g**5.
-2*g**4*(g - 2)/23
Let p(a) be the second derivative of 2/5*a**5 + 220*a + 0 - 1089/4*a**2 - 1/60*a**6 + 1/12*a**4 - 44*a**3. Factor p(n).
-(n - 11)**2*(n + 3)**2/2
Factor 2*v**2 + 508 - 14998 - 780*v + 90540.
2*(v - 195)**2
Let m be (-24)/(-36) - (-4)/21. Let s be (4/(-12))/((-4041)/(-216) - 19). Let s*i**4 + 2/7*i**5 - 8/7*i + 0 - 8/7*i**2 + m*i**3 = 0. What is i?
-2, -1, 0, 1
Let q be ((-960)/8)/(-10) + (-1 - -3). Let i be 2*50*(-2)/(-8). Determine x, given that q*x - 15*x - 2*x**2 + i*x - 72 = 0.
6
Let k(m) be the second derivative of 13*m**6/15 + 93*m**5/10 + 59*m**4/3 - 64*m**3 - 32*m**2 + 1198*m. Find j, given that k(j) = 0.
-4, -2/13, 1
Let r be (-60)/(-900) - (0 - 1813/105). Solve 1/3*g**2 + 676/3 - r*g = 0.
26
Factor 2/11*g**4 + 0 + 16/11*g**2 + 10/11*g**3 + 8/11*g.
2*g*(g + 1)*(g + 2)**2/11
Let l(g) be the second derivative of -8/3*g**2 - 1/3*g**4 - 173*g + 1/90*g**6 + 2 + 1/60*g**5 - 14/9*g**3. Factor l(f).
(f - 4)*(f + 1)*(f + 2)**2/3
Let b = 152 + -152. Suppose b = -29*l + l. Factor -12/5*k + 3/5*k**2 + l.
3*k*(k - 4)/5
Let l be ((-3*(-24)/18)/135)/((-18)/(-27)). Let o(v) be the first derivative of 0*v + 0*v**2 + l*v**3 - 3. Factor o(b).
2*b**2/15
Suppose -5*j + 13*l = 12*l - 13, 3*j + 16 = 4*l. Let 13/3*f**3 + 0*f + 0 + 5*f**j - 2/3*f**2 = 0. Calculate f.
-1, 0, 2/15
Determine c so that 3200*c + 1/3*c**4 + 2080/3*c**2 + 0 + 86/3*c**3 = 0.
-40, -6, 0
Find f such that -13*f**2 - 9*f**4 - 192 + 64*f + f**4 - 6*f**3 + 49*f**2 + 3*f**4 + 3*f**4 = 0.
-4, 2, 3
Let r = -606 + 610. Let n(h) be the second derivative of 1/16*h**r + 1/10*h**5 - 26*h - 1/12*h**3 + 0*h**2 + 0 + 1/40*h**6. Let n(d) = 0. Calculate d.
-2, -1, 0, 1/3
Let m(c) be the second derivative of -1/3*c**4 + 0 - 308*c + 0*c**2 + 56/3*c**3. Find h such that m(h) = 0.
0, 28
Factor -14 + 6 + 15*r + 6 - 3*r**4 - 6*r**2 + 5*r**3 - 23*r**3 + 11 + 3*r**5.
3*(r - 3)*(r - 1)*(r + 1)**3
Let r(g) be the second derivative of -1/63*g**7 + 36*g + 0*g**2 + 1/6*g**5 + 0*g**4 - 2 + 0*g**3 - 4/45*g**6. Suppose r(k) = 0. Calculate k.
-5, 0, 1
Let y(f) be the second derivative of 9*f**5/40 - 8*f**4/3 - 145*f**3/12 - 18*f**2 + 2732*f. Factor y(n).
(n - 9)*(n + 1)*(9*n + 8)/2
Let o(t) be the third derivative of -t**6/120 - 747*t**5/20 - 558009*t**4/8 - 138944241*t**3/2 + 1844*t**2. Factor o(h).
-(h + 747)**3
Suppose 291*z - 1940*z + 4947 = 0. Factor -1/8*g**z + 1/2*g + 1/2 - 1/8*g**2.
-(g - 2)*(g + 1)*(g + 2)/8
Let k be (-119682)/(-23058) - (-1 - 7/(-3)). Factor -30/7 + k*n + 3/7*n**2.
3*(n - 1)*(n + 10)/7
Factor 333/4*s**2 + 0 - 3/4*s**3 + 84*s.
-3*s*(s - 112)*(s + 1)/4
Find i such that -202/9*i**3 + 2560/3*i**2 - 24358/3*i + 1444/9 = 0.
2/101, 19
Let z(d) = -d**2 + 43*d - 339. Let r be z(33). Let l be (414/(-276))/(r/8). Let -l - 4/3*u + 8/3*u**2 = 0. What is u?
-1/2, 1
Let f = -42844 - -214269/5. Factor f*i**3 + 168/5*i**2 - 108/5*i + 16/5.
(i + 4)*(7*i - 2)**2/5
Let g(s) be the second derivative of -s**5/5 - 307*s**4/3 + 616*s**3/3 - 4*s - 351. Suppose g(d) = 0. What is d?
-308, 0, 1
Let x(k) be the first derivative of -1/720*k**6 + 0*k**2 - 1/30*k**5 + 2*k**3 + 0*k - 1/3*k**4 + 13. Let a(q) be the third derivative of x(q). Solve a(o) = 0.
-4
Solve 4223*v**3 - 280 - 32*v**2 - 8461*v**3 + 4234*v**3 + 316*v = 0 for v.
-14, 1, 5
Let p be 9/((-5)/(-12 + 17)). Let j(g) = -4*g**2 - 38*g - 16. Let d be j(p). Factor -1024/21 - 16/7*u**d - 128/7*u - 2/21*u**3.
-2*(u + 8)**3/21
Let k = 33076/4659 - 672/1553. Factor 5/6*b**4 - 10/3 + 5/6*b**5 - 25/6*b**3 + k*b - 5/6*b**2.
5*(b - 1)**3*(b + 2)**2/6
Let k be (14 - 3)*(-7735)/(-4862). Suppose -1/2*v**5 - k*v**3 + 0 - 13/2*v**4 + 0*v + 49/2*v**2 = 0. Calculate v.
-7, 0, 1
Let r(w) = -10968*w - 537429. Let l be r(-49). Solve -4/3*g**2 - g**l + 4/3*g**4 + 7/6*g - 1/6*g**5 + 0 = 0 for g.
-1, 0, 1, 7
Let n(a) be the second derivative of 0*a**2 - 1/126*a**7 + 1/10*a**5 - 1/90*a**6 + 1/9*a**4 + 317*a - 4/9*a**3 + 0. What is w in n(w) = 0?
-2, 0, 1, 2
Let c be ((-270135)/116)/69 - -34. Factor 0 - c*x**2 - 1/4*x.
-x*(x + 1)/4
Let z be (-7)/(2 - 9) + (521 - 1). Suppose 60 = z*l - 516*l. Determine n so that -l*n**3 - 4/7*n**4 - 196*n + 0 - 84*n**2 = 0.
-7, 0
Suppose 16 = 2*g - 0. Factor -15 - 3*n**2 + g*n**2 - 2*n**2 + 12*n.
3*(n - 1)*(n + 5)
Let h(q) be the first derivative of 5*q**2 - 55/6*q**3 + 13*q + 15/4*q**4 - 10. Let c(t) be the first derivative of h(t). Factor c(g).
5*(g - 1)*(9*g - 2)
Let m(f) be the third derivative of f**5/100 + 49*f**4/40 + 24*f**3/5 + 1158*f**2. Solve m(a) = 0.
-48, -1
Let v = -717 - -721. Solve -379*p**v + 654*p**4 + 324*p**2 + 24*p + 1170*p**3 + 232*p**4 = 0 for p.
-2, -2/13, 0
Suppose 73*z**3 - 373*z**3 + 0*z**4 - 5*z**4 + 3041*z + 17439*z - 3840*z**2 = 0. What is z?
-32, 0, 4
Let t(s) be the second derivative of 8*s**7/21 + 11*s**6/5 + 14