 -18 = z - 5*c. Solve 16*d**z - 4*d**2 - 14*d**2 + 6*d = 0 for d.
0, 3
Let s = -285/1294 - -7583/647. Factor 72 - s*o**2 - 60*o - 1/2*o**3.
-(o - 1)*(o + 12)**2/2
Let k = 99275 - 99273. Suppose -236/7*b**k - 162/7 - 2/7*b**4 - 360/7*b - 40/7*b**3 = 0. What is b?
-9, -1
Let h(m) = -5*m**3 + 7*m**2 + 92*m - 91. Let v(j) = 15*j**3 - 20*j**2 - 275*j + 270. Let t(n) = -10*h(n) - 3*v(n). Suppose t(k) = 0. Calculate k.
-4, 1, 5
Let q(b) be the second derivative of 0*b**2 - 1/63*b**7 - 1/3*b**4 + b**3 + 12*b + 2/15*b**6 - 4/15*b**5 - 4. Solve q(t) = 0.
-1, 0, 1, 3
Suppose -86*i = -87*i + 84. Find o, given that -16*o + 28*o**2 - 43*o**3 + i*o**3 - 45*o**3 - 48 = 0.
-1, 2, 6
Let t(o) = 34047*o + 2. Let q be t(0). Factor -3/2*i + 0 - 1/4*i**q + 1/4*i**3.
i*(i - 3)*(i + 2)/4
Let r = -230879 + 4386731/19. Let 14/19*z**3 + 36/19*z**2 + 8/19 + r*z = 0. Calculate z.
-1, -4/7
Let a = -19245 + 19248. Let s(d) be the first derivative of -26 + 1/2*d + 3/4*d**2 + 1/3*d**a. Let s(j) = 0. Calculate j.
-1, -1/2
Let p = -91000 - -361057/4. Let r = -735 - p. Factor -r*h**2 + 9/2*h - 6.
-3*(h - 4)*(h - 2)/4
Let h be -1*1*(-2 + (-4 - 1)). Factor 4*z**5 - 8*z**5 + h*z**5 + 5*z**4 - 11*z**4.
3*z**4*(z - 2)
Let k = -251625 + 2264632/9. What is n in 5/9*n**3 + 0 + 1/9*n**4 + k*n**2 + 1/3*n = 0?
-3, -1, 0
Let m(q) be the first derivative of 4/3*q**2 - 2/3*q**3 + 8*q - 1 - 1/6*q**4. Factor m(b).
-2*(b - 2)*(b + 2)*(b + 3)/3
Let n be ((-12)/(-14))/(23/1288). Suppose n = -4*j + 7*j. Factor -w**5 - w + 17*w**3 + w - w**4 - j*w**3 + w**2.
-w**2*(w - 1)*(w + 1)**2
Let j(g) be the third derivative of -g**7/420 + g**6/60 + 9*g**5/40 + 19*g**4/24 + 4*g**3/3 + 88*g**2. Factor j(m).
-(m - 8)*(m + 1)**2*(m + 2)/2
Factor -227*a**2 + 530*a - 136 - 389 + 222*a**2.
-5*(a - 105)*(a - 1)
Let y(f) be the second derivative of 5*f**4/12 + 95*f**3/2 + 1575*f**2 + 2526*f. Factor y(z).
5*(z + 15)*(z + 42)
Let i(j) be the second derivative of -128*j**7/21 - 32*j**6/5 + 11*j**5 + 16*j**4 + 6*j**3 + 883*j. Determine c, given that i(c) = 0.
-1, -3/8, 0, 1
Let x = 18565 + -18563. Factor -1/5*d**4 + 0*d + 32/5*d**x + 0*d**3 - 256/5.
-(d - 4)**2*(d + 4)**2/5
Let n be -4 - (-4 - 3) - 796*-1. Solve -798*l + 1607*l + 5*l**2 - n*l = 0 for l.
-2, 0
Let -7/4*a**3 - 3/4*a**2 + 0 + 0*a = 0. Calculate a.
-3/7, 0
Suppose -284*p - 4 + 4898*p**3 - 9455*p**3 + 4841*p**3 + 4*p**2 = 0. Calculate p.
-1, -1/71, 1
Let l(p) be the third derivative of -p**7/1575 - 13*p**6/450 - 32*p**5/75 - 8*p**4/5 - 869*p**2. Let l(h) = 0. What is h?
-12, -2, 0
Let c(o) be the first derivative of 7*o**3/6 - 3*o**2/4 - 2*o + 4535. Factor c(b).
(b - 1)*(7*b + 4)/2
Let b(q) be the second derivative of 39/35*q**7 - 2/5*q**3 - 189/100*q**5 - 5*q + 0*q**2 - 5 - 1/2*q**6 + 9/5*q**4. Solve b(u) = 0 for u.
-1, 0, 2/13, 1/2, 2/3
Let n(d) be the third derivative of -69*d + 2*d**2 + 0 - 2/3*d**4 - 1/60*d**6 - 1/6*d**5 - 4/3*d**3. Factor n(x).
-2*(x + 1)*(x + 2)**2
Let g(w) = w**3 + 6*w**2 + 52*w + 416. Let x be g(-7). Let j(n) be the first derivative of -5/9*n**2 + 2/27*n**x + 8/9*n + 4. Factor j(q).
2*(q - 4)*(q - 1)/9
Let d(o) be the first derivative of 4*o**5/15 - 2*o**4/3 - 64*o**3/3 + 448*o**2/3 - 1024*o/3 + 3270. Solve d(r) = 0 for r.
-8, 2, 4
Let s(a) be the first derivative of -a**4/20 + 73*a**3/15 - 71*a**2/5 - 362. Determine u so that s(u) = 0.
0, 2, 71
Let b(d) = -6*d**3 + 1005*d**2 - 507*d - 6. Let y(s) = -4*s**3 + 1002*s**2 - 505*s - 5. Let m(t) = -5*b(t) + 6*y(t). Solve m(r) = 0 for r.
-165, 0, 1/2
Let b be 28 + (-3051)/81 - 1*-15. Factor 8/3*l**3 - 2/3*l**5 - b*l**2 + 0*l + 0 + 4/3*l**4.
-2*l**2*(l - 2)**2*(l + 2)/3
Let y(p) = -p. Let n(x) = -x**2 + 14*x. Suppose i = 6*i + q - 17, i + 4*q = 11. Suppose 3*u + 4*w = 88, 4 = 2*w - 4. Let m(f) = i*n(f) + u*y(f). Factor m(j).
-3*j*(j - 6)
Let a(r) be the second derivative of r**4/66 + 29*r**3/33 - 846*r**2/11 - 3354*r. Factor a(v).
2*(v - 18)*(v + 47)/11
Suppose -2*s = -2*m - 444, 10*s - 5*s = m + 1094. Determine l so that -189*l - 24 - 28 - 76*l**2 + s*l + 359*l + 12 = 0.
2/19, 5
Let c be (73/((-2920)/80))/(16/(-6) + 2). Find h, given that 2/3*h**2 + 1/3*h**5 - 1/3*h + 0 - 2/3*h**4 + 0*h**c = 0.
-1, 0, 1
Let x be 3 + 5/(-10)*-1*0. Factor 12*v - v**2 + 5 + 8*v - 4*v + v**4 + 8*v**x + 19*v**2.
(v + 1)**3*(v + 5)
Let o be ((-371)/21 - 10) + 28. Factor s**2 + s + o + 1/3*s**3.
(s + 1)**3/3
Let l(m) be the third derivative of m**7/420 - m**6/12 + 13*m**5/120 + 169*m**4/8 + 23*m**2 + 42. Find s, given that l(s) = 0.
-6, 0, 13
Suppose q + 5*b - 2 = 0, 42 - 32 = 5*q - 3*b. Let p(a) be the first derivative of -1/21*a**3 - 7 + 0*a - 1/7*a**q. Determine z, given that p(z) = 0.
-2, 0
Let z = -5/869 - -4375/5214. Let i(a) be the second derivative of z*a**3 + 1/24*a**4 + 25/4*a**2 + 5*a + 0. Suppose i(f) = 0. What is f?
-5
Find m such that -59*m**2 + 2247*m**3 - 91*m - 2 - 2246*m**3 + 15*m**2 - 44 = 0.
-1, 46
Suppose -4*w + 17*w = 169. Factor w*s - 10*s**2 - 12*s**2 - 12*s**2 + 39*s**2 + 32*s.
5*s*(s + 9)
Let d be 7213 - 4/6*(-450)/100. Let j be d/1230 + 4/30. Factor -j*n + 3/2*n**2 + 9/2.
3*(n - 3)*(n - 1)/2
Let t(m) = m**2 + 6*m - 1. Suppose -27 = 8*j - 17*j. Let x(y) = -1 + y**2 - y - 4*y**2 + 2*y**2. Let f(k) = j*x(k) - t(k). Solve f(w) = 0.
-2, -1/4
Let z(c) = 178*c**3 + 242*c**2 - 3158*c. Let a(d) = -14*d**3 - 19*d**2 + 243*d. Let j(o) = -38*a(o) - 3*z(o). Factor j(s).
-2*s*(s - 10)*(s + 12)
Suppose -11*g = 3*g - 7*g - 3*g. Let o(q) be the second derivative of -169/114*q**4 - 29*q - 4/19*q**2 + 52/57*q**3 + g. Let o(w) = 0. Calculate w.
2/13
Let j(a) = a**5 - 21*a**4 + 2*a**3 - 6*a - 6. Let n(w) = w**5 - w**4 + 2*w**3 - w - 1. Let b(p) = -j(p) + 6*n(p). Factor b(o).
5*o**3*(o + 1)*(o + 2)
Solve 0 + 5/4*m**5 + 815/2*m**4 + 33210*m**3 - 815/2*m**2 - 132845/4*m = 0.
-163, -1, 0, 1
Let i = 84/5 - 15. Suppose -x + 3*x = 2*m - 8, 0 = 3*m + 8*x + 32. Factor m - 12/5*a + i*a**2 + 3/5*a**3.
3*a*(a - 1)*(a + 4)/5
Let w(s) be the third derivative of 3*s**2 - 13*s - 1/30*s**5 + 0*s**3 + 1/180*s**6 - 1/9*s**4 + 0. Solve w(b) = 0.
-1, 0, 4
Let f(v) = 3*v**2 + v - 1. Let h(o) = 4*o**3 + 246*o**2 - 26*o - 1094. Let i(l) = -10*f(l) - h(l). Suppose i(m) = 0. Calculate m.
-69, -2, 2
Let c(u) be the third derivative of u**5/40 - 43*u**4/16 - 11*u**3 - 409*u**2. Let c(h) = 0. What is h?
-1, 44
Let a(w) be the second derivative of w**4/3 + 10*w**3/3 - 48*w**2 - 8*w + 81. Factor a(r).
4*(r - 3)*(r + 8)
Let n(r) be the third derivative of -r**5/240 - 11*r**4/24 - 43*r**3/24 - 15*r**2 - 14*r. Factor n(t).
-(t + 1)*(t + 43)/4
Let f(k) be the first derivative of k**5/360 + k**4/72 - 2*k**3/9 - 39*k**2 - 45. Let u(b) be the second derivative of f(b). Determine w so that u(w) = 0.
-4, 2
Let w = -20 + 24. Suppose -10 = -5*l - h, 2*l + h - 4 = -3*h. Factor -f**4 + 5*f**l - 5*f**3 - 6*f**w + 5*f + 2*f**4.
-5*f*(f - 1)*(f + 1)**2
Factor 22 + 148 - 81*d**2 - 23*d**4 - 6*d**3 + 168*d + 26*d**4 + 70.
3*(d - 4)**2*(d + 1)*(d + 5)
Let m(a) = 43*a**2 + 20*a - 43. Let t(o) = -26*o**2 - 10*o + 21. Let g(s) = -6*m(s) - 10*t(s). Factor g(i).
2*(i - 6)*(i - 4)
Suppose 2*s = -4*x + 3*s + 62, -s - 14 = -x. Factor 3690 + x*c**2 - 46*c**2 + 60*c - 3678 - 39*c**2 + 18*c**3.
3*(c - 2)**2*(6*c + 1)
Let p = 160 - 110. Suppose -33*o + p*o = 51. Find r such that 1/3*r - 1/3*r**o - 1/6*r**2 + 1/6 = 0.
-1, -1/2, 1
Let c(u) be the second derivative of 4*u**7/105 + 9*u**6/25 - 19*u**5/50 - 73*u**4/30 + 5*u**3 - 14*u**2/5 + u + 56. Determine f, given that c(f) = 0.
-7, -2, 1/4, 1
Let l be -5*(2/16)/(450/(-270)). Factor 0*z**2 + 9/8*z + 3/4 - l*z**3.
-3*(z - 2)*(z + 1)**2/8
Let v(p) = -10*p + 375. Let n = 659 - 622. Let t be v(n). Let -1/5*x**3 + 1/5*x**2 + 0*x + 1/5*x**t - 1/5*x**4 + 0 = 0. What is x?
-1, 0, 1
Suppose k - 4*q - 26 - 1 = 0, -k + 33 = -5*q. Let t(x) be the first derivative of 0*x - 1/3*x**k + 3/2*x**2 - 1. Factor t(v).
-v*(v - 3)
Let q(l) be the third derivative of 11/96*l**4 + 0 + 7/480*l**6 - 1/15*l**5 + 0*l + 117*l**2 - 1/12*l**3. Factor q(a).
(a - 1)**2*(7*a - 2)/4
Let d(c) = c**3 + c**2 - 3*c + 25. Let f be d(-5). Let m be -13*5/(-9)*f/(-50). Solve -m*u**2 - 50/3*u + 2/3*u**3 + 2/3*u**4 - 8 = 0 for u.
-3, -1, 4
Suppose 0 = -3740*m + 2964*m. Factor m + 0*v + 2/11*v**4 + 8/11*v**2 - 10/11*v**3.
2*v**2*(v - 4)*(v - 1)/11
Suppose 0 = 3*