tive of -h**6/200 + h**5/25 - h**4/40 - 3*h**3/5 - 213*h**2. Factor c(r).
-3*(r - 3)*(r - 2)*(r + 1)/5
Let r(k) = k**2 + 21*k - 306. Let i be r(10). What is a in -4/3 - i*a - 3*a**2 = 0?
-2/3
Let m(p) be the first derivative of -1/12*p**3 + 17 - 1/32*p**4 + 1/20*p**5 + 0*p + 1/48*p**6 + 0*p**2. Let m(i) = 0. Calculate i.
-2, -1, 0, 1
Let u(f) be the third derivative of -34*f**2 - 1/4*f**5 - 1/3*f**6 + 5/12*f**4 + 0 - 1/14*f**7 + 0*f**3 + 0*f. Let u(l) = 0. What is l?
-2, -1, 0, 1/3
Let q(d) be the third derivative of d**6/600 + 59*d**5/150 + 3481*d**4/120 + 26*d**2 + 8. Find u, given that q(u) = 0.
-59, 0
Let b(q) = -q**2 - 9*q - 5. Let o be b(-8). Let c(x) be the first derivative of 5 - 1/4*x**o - 9/8*x**2 - 3/2*x. Determine y so that c(y) = 0.
-2, -1
Determine s so that 6/17*s**2 - 538/17*s + 356/17 = 0.
2/3, 89
Let r = 22739 + -22737. Solve 2/3*q - 1 + 1/3*q**r = 0.
-3, 1
Let x(f) = -f**3 - 21*f**2 - 27*f + 12. Let s be x(-20). Let n = 154 - s. Determine t so that -2/7*t**3 + 0 + 0*t**n + 4/7*t**5 + 0*t + 2/7*t**4 = 0.
-1, 0, 1/2
Let i(s) = -19*s**3 + 68*s**2 - 114*s + 17. Let j(h) = -18*h**3 + 69*h**2 - 114*h + 18. Let g(n) = 6*i(n) - 7*j(n). Suppose g(u) = 0. Calculate u.
1/4, 2, 4
Let h(n) = n**2 - 6*n - 7. Let k be h(8). Suppose -k*d + 27 + 9 = 0. Find v such that 0 - 8/9*v**d + 0*v - 2/9*v**2 - 10/9*v**3 = 0.
-1, -1/4, 0
Let v = 12587/8 + -1573. Factor 3/8*l**3 + 3/8*l**2 - 3/8*l - v.
3*(l - 1)*(l + 1)**2/8
Let k be ((0 - -12) + 0)/1. Let s = 14 - k. Let 2/3*v**s + 0*v - 2/3*v**3 + 0 = 0. Calculate v.
0, 1
Let n(g) be the first derivative of 4*g**3/3 + 20*g**2 + 82. Solve n(l) = 0.
-10, 0
Let l(t) be the second derivative of -2*t**6/15 + 19*t**5/5 - 42*t**4 + 216*t**3 - 432*t**2 + 14*t + 2. Factor l(a).
-4*(a - 6)**3*(a - 1)
Let b(w) = 257*w - 254. Let f be b(1). Determine r, given that -2 - 14/5*r**2 + 22/5*r + 2/5*r**f = 0.
1, 5
Let p(l) be the third derivative of 0*l**3 - 1/90*l**7 - 1/336*l**8 + 1/60*l**5 - 1/120*l**6 - 5*l**2 + 1/36*l**4 + 0*l + 0. Factor p(q).
-q*(q + 1)**3*(3*q - 2)/3
Let j(y) = y + 25. Let t be j(-22). Let h(w) be the third derivative of 0*w**t - 1/180*w**5 + 5*w**2 + 0 + 1/72*w**4 + 0*w. Suppose h(b) = 0. What is b?
0, 1
Factor 47/8*q**2 + 0 - 7/8*q**4 + 9/4*q - 29/4*q**3.
-q*(q - 1)*(q + 9)*(7*q + 2)/8
Let d be 0/((-2)/(-12) - ((-885)/90 - -9)). What is g in 0*g**2 + 0 + 8/3*g + d*g**4 + 2/3*g**5 - 10/3*g**3 = 0?
-2, -1, 0, 1, 2
What is g in -7*g**2 + 25*g - 107*g + 20 + 42 - 38 = 0?
-12, 2/7
Let r(f) = -3*f**3 - 13*f**2 - 19*f - 7. Suppose 9*p - 8 = -35. Let j(n) = 3*n**3 + 12*n**2 + 18*n + 6. Let v(a) = p*r(a) - 2*j(a). Factor v(q).
3*(q + 1)**2*(q + 3)
Let c(x) be the first derivative of 2*x**4/15 + 56*x**3/15 - 29*x**2/5 + 44*x/15 + 102. Factor c(f).
2*(f + 22)*(2*f - 1)**2/15
Let n(w) be the first derivative of w**6/1440 + w**5/48 + 25*w**4/96 - 13*w**3/3 - 10. Let h(j) be the third derivative of n(j). Factor h(r).
(r + 5)**2/4
Let g(c) be the second derivative of 16*c - 1/8*c**3 + 1/48*c**4 + 0 + 1/4*c**2. Factor g(z).
(z - 2)*(z - 1)/4
Suppose -27*n = -25*n. Suppose h + 3 - 7 = n. Suppose -7/3*j**3 + j**5 - 4/3 + 3*j**2 - 5/3*j**h + 4/3*j = 0. What is j?
-1, 2/3, 1, 2
Let w be 26/56 + (-1055)/(-844). Let 69/7*r**4 + 0 + 60/7*r**2 - 18*r**3 + 24/7*r - w*r**5 = 0. Calculate r.
-1/4, 0, 2
Let p(q) be the first derivative of -q**3/9 - 7*q**2/6 - 10*q/3 - 150. Let p(k) = 0. Calculate k.
-5, -2
Solve 68/5*y + 0 - 4/5*y**2 = 0.
0, 17
Suppose 5*a + t + 3 - 7 = 0, 5*a + 3*t - 2 = 0. Let h(d) be the first derivative of 1/12*d**3 + a + 0*d - 3/8*d**2. Factor h(o).
o*(o - 3)/4
Let m(p) be the first derivative of -2*p**5/65 - 5*p**4/26 - 2*p**3/39 + 21*p**2/13 + 36*p/13 + 46. Let m(k) = 0. What is k?
-3, -1, 2
Let z(g) be the second derivative of g**6/120 - 7*g**5/40 + 11*g**4/16 + 14*g**3/3 + 8*g**2 + 9*g - 5. Suppose z(k) = 0. What is k?
-1, 8
What is z in -16 - 2*z**5 + 3*z**5 - 13*z**3 + 29*z**4 + 0*z**5 - 48*z - 47*z**2 - 53*z**4 + 27*z**4 = 0?
-4, -1, 4
Let a(f) be the third derivative of -f**6/80 - f**5/5 + 11*f**4/4 - 12*f**3 - 71*f**2 - 1. Factor a(l).
-3*(l - 2)**2*(l + 12)/2
Let y = 89 - 91. Let q be (-10)/y*(1 + -9)/(-80). Let g - q*g**2 + 3/2 = 0. What is g?
-1, 3
Let z(h) be the second derivative of -2*h**7/147 - 2*h**6/15 - 3*h**5/35 + 19*h**4/21 + 8*h**3/21 - 24*h**2/7 + 2*h - 28. Solve z(r) = 0 for r.
-6, -2, -1, 1
Let r be 786/30 - (-3)/(-15). Factor -40*h + h**4 + h**3 + 13*h - 3*h**2 + 2 + r*h.
(h - 1)**2*(h + 1)*(h + 2)
Let i(d) = 11*d + 1. Let b be i(2). Factor b*o**2 - 12*o**2 - 6*o**2 - 3*o**2.
2*o**2
Let m be (3 - 4)*(1 - 24). Factor 8*o**2 - 2*o**2 - m*o + 10*o**2 - 4*o**3 + 7*o.
-4*o*(o - 2)**2
Let x(l) be the third derivative of l**5/10 - 10*l**4/3 + 16*l**3 - 336*l**2. Factor x(a).
2*(a - 12)*(3*a - 4)
Factor 1/3*p**3 - 27 + 17/3*p**2 + 21*p.
(p - 1)*(p + 9)**2/3
Let t be (-7 + (-180)/(-27))*-30*6/8. What is j in 7/4*j**4 + 43/4*j**2 + 6*j + t*j**3 + 1 = 0?
-2, -1, -2/7
Solve 4/5*c**2 + 9/5*c + 2/5 = 0 for c.
-2, -1/4
Let s be (-41)/(-13) - 14/91. Let k be (2/(-7))/(s/(-42)). Factor 0*m - 2*m**2 + 4*m**k + m + 2*m**5 - 3*m - 2*m**2.
2*m*(m - 1)*(m + 1)**3
Let q(c) be the first derivative of c**9/3024 - c**8/1680 - c**7/280 + c**6/360 + c**5/60 - 13*c**3 + 17. Let r(k) be the third derivative of q(k). Factor r(t).
t*(t - 2)*(t - 1)*(t + 1)**2
Factor 0*z**2 + 0 + 5/4*z**4 - 75/2*z**3 + 0*z.
5*z**3*(z - 30)/4
Factor -12/5*n + 0 - 9*n**3 + 13/5*n**4 + 44/5*n**2.
n*(n - 2)*(n - 1)*(13*n - 6)/5
Let h(s) be the third derivative of -s**7/1470 - s**6/840 + s**5/210 + 23*s**2 - 2*s. Suppose h(i) = 0. Calculate i.
-2, 0, 1
Let a(v) = 475*v - 3321. Let q be a(7). Factor -5/3*i**2 + 5/6*i**q + 0*i - 5/6*i**3 + 0.
5*i**2*(i - 2)*(i + 1)/6
Let f(x) be the second derivative of -x**5/240 + x**4/16 - 5*x**3/24 - 41*x**2/2 - 7*x. Let z(o) be the first derivative of f(o). Factor z(v).
-(v - 5)*(v - 1)/4
Let u(y) be the second derivative of -y**4/6 + 116*y**3/3 - 3364*y**2 + 2*y - 131. What is c in u(c) = 0?
58
Suppose -362 = -6*n + 106. Let k be 12/n - 6/39. Factor 3/2*c**2 + k + 0*c + 0*c**3 - 3/2*c**4.
-3*c**2*(c - 1)*(c + 1)/2
Let t(k) = 5*k - 22. Let o be t(18). Let 3*g**5 - 18 - 42*g**2 - 11*g - o*g**4 - 40*g + 80*g**4 = 0. Calculate g.
-3, -1, 2
Let x be 2/(-12) + 13/(936/48). Factor -5/4*p**3 - x*p + 7/4*p**2 + 0.
-p*(p - 1)*(5*p - 2)/4
Factor 2/13*c**2 - 12/13 - 10/13*c.
2*(c - 6)*(c + 1)/13
Let y(b) = -10*b - 125. Let h be y(-13). Let f(j) be the first derivative of -11 - 1/9*j**4 + 2/9*j - 2/45*j**h + 2/9*j**2 + 0*j**3. Factor f(i).
-2*(i - 1)*(i + 1)**3/9
Let b(f) be the third derivative of -f**6/540 + 2*f**5/135 + 140*f**2. Find n such that b(n) = 0.
0, 4
Let v(u) be the third derivative of -1/84*u**7 + 0*u + 0*u**3 - 1/12*u**5 - 5/96*u**6 + 0 + 36*u**2 - 5/96*u**4. Find z such that v(z) = 0.
-1, -1/2, 0
Let n be 9/(-15)*(143/78 - (-10)/(-4)). Factor -24/5*p**4 - 268/5*p**2 - 144/5 + 312/5*p + 114/5*p**3 + n*p**5.
2*(p - 3)**2*(p - 2)**3/5
Let h(o) be the first derivative of 12*o**2 + 16*o + 1/4*o**4 + 23 + 3*o**3. Determine g, given that h(g) = 0.
-4, -1
Let q(l) be the third derivative of -l**8/112 - 3*l**7/7 - 157*l**6/40 + 51*l**5 - 289*l**4/2 - 584*l**2. Factor q(g).
-3*g*(g - 2)**2*(g + 17)**2
Let f(u) be the third derivative of -9*u**7/140 + 3*u**6/2 - 179*u**5/20 - 35*u**4/2 - 49*u**3/4 - 108*u**2 + 2*u. Find o such that f(o) = 0.
-1/3, 7
Let o = -11488 + 103394/9. Factor -o*r**3 + 16/9*r**2 + 4/3 - 26/9*r.
-2*(r - 6)*(r - 1)**2/9
Let -7*v - v - 2*v**2 - 90 + 3*v + 5*v**3 + 92*v**2 = 0. Calculate v.
-18, -1, 1
Let p be -2 + 2 - 5*(-84)/119. Factor 22/17*i**2 - 8/17 - p*i**3 - 50/17*i**4 + 24/17*i.
-2*(i + 1)**2*(5*i - 2)**2/17
Let v = -34/461 + 3363/1844. Solve v*p - 3/2 + 3/4*p**2 = 0 for p.
-3, 2/3
Suppose 2 = -3*x + 8. Determine m, given that 8 + 28 - 13*m**x - 24*m + 10*m**2 + 7*m**2 = 0.
3
Let c(a) be the first derivative of -a**4/6 + 14*a**3/9 - 345. Determine g, given that c(g) = 0.
0, 7
Let g(c) be the third derivative of 0*c**4 - 1/30*c**5 + 0 + 2*c**2 + 0*c + 1/3*c**3. Factor g(w).
-2*(w - 1)*(w + 1)
Let z = 34 + -33. Let i be (z + -2)/(17/(-68)). Suppose -4*d + 2*d**i - d**5 + 4*d = 0. What is d?
0, 2
Let s(c) = c**3 + c**2 - 74*c - 15. Let x be s(-9). Solve 1/2*o**2 + 3