 4/3*h + t.
2*h*(11*h + 2)/3
Let d(m) be the third derivative of -m**7/210 - 3*m**6/40 - 3*m**5/20 + 85*m**4/24 + 25*m**3 + 2*m**2 - 10*m + 18. Determine v, given that d(v) = 0.
-5, -2, 3
Let k(r) = 249*r**2 + 72*r + 5. Let l(x) be the first derivative of -2990*x**3/3 - 865*x**2/2 - 60*x + 41. Let n(v) = 25*k(v) + 2*l(v). Solve n(m) = 0 for m.
-1/7
Determine f, given that -128*f + 384*f**2 - 78*f**3 - 765*f**5 - 761*f**5 + 84*f**4 - 218*f**3 + 1518*f**5 = 0.
0, 1/2, 2, 4
Let p be (6/40)/((-1992)/(-53120)). Determine v, given that -2/11*v**p + 4/11*v**3 + 4/11*v**2 - 2/11*v**5 - 2/11*v - 2/11 = 0.
-1, 1
Let q(c) be the third derivative of 0 + 0*c**3 - 7/114*c**4 - 1/570*c**5 - 33*c**2 + c. Find z, given that q(z) = 0.
-14, 0
Let g be (-2576)/(-168)*3/(-2) + 14 + 112/6. Factor -10*i**2 - 19/6 - 1/6*i**4 - 11/3*i**3 - g*i.
-(i + 1)**3*(i + 19)/6
Let u be (-4)/6 + (-1*13 - 22066/(-708)). Factor -u*h - 1/4*h**2 - 1225/4.
-(h + 35)**2/4
Let z(g) be the first derivative of -g**5/100 + g**4/60 + 61*g - 53. Let s(f) be the first derivative of z(f). Factor s(c).
-c**2*(c - 1)/5
Suppose 4*p = 4*p - 6*p. Let u(c) be the first derivative of 2/33*c**3 - 8 - 1/11*c**4 + 2/55*c**5 + p*c + 0*c**2. Let u(j) = 0. What is j?
0, 1
Let h(w) be the third derivative of -13/330*w**5 + 173*w**2 - 12/11*w**3 + 0 + 0*w + 1/660*w**6 + 4/11*w**4. Solve h(q) = 0 for q.
1, 6
Suppose 28485*y**4 + 1184*y**3 - 4*y**5 - 13996*y**4 - 14209*y**4 = 0. Calculate y.
-4, 0, 74
Let u(h) be the second derivative of h**6/1440 - h**5/48 + h**4/4 - 94*h**3/3 + 240*h. Let g(j) be the second derivative of u(j). Let g(q) = 0. Calculate q.
4, 6
What is q in -35/2*q**2 - 1/2*q**4 + 6*q - 6*q**3 + 18 = 0?
-6, -1, 1
Let n(x) be the third derivative of x**7/525 - x**6/200 - 2*x**5/75 + x**4/10 + 11890*x**2. Determine u so that n(u) = 0.
-2, 0, 3/2, 2
Let p(d) be the first derivative of -35*d**6/3 - 1028*d**5/5 - 305*d**4/2 + 916*d**3/3 + 340*d**2 + 112*d + 1256. Solve p(n) = 0.
-14, -1, -2/5, -2/7, 1
Let a(i) be the second derivative of 0 + 25*i - 70/3*i**3 - 65/12*i**4 - 10*i**2. Factor a(c).
-5*(c + 2)*(13*c + 2)
Determine u, given that 479/2*u - 241/2*u**2 - 239/2 + 1/2*u**3 = 0.
1, 239
Let h(u) be the first derivative of u**6/9 + 4*u**5/15 - u**4 - 8*u**3/9 + 13*u**2/3 - 4*u - 1222. Let h(a) = 0. Calculate a.
-3, -2, 1
Let f = 271 + -276. Let u be (-10)/(-25) + (f - -5). Factor 22/5*a**3 - 24/5*a - 4/5*a**2 + u*a**5 - 12/5*a**4 + 16/5.
2*(a - 2)**3*(a - 1)*(a + 1)/5
Factor 360/7*o - 864/7 + 2/7*o**3 - 48/7*o**2.
2*(o - 12)*(o - 6)**2/7
Solve 456 - 93*x**3 - 14*x**3 - 52*x - 80*x**2 + 103*x**3 = 0 for x.
-19, -3, 2
Let i be (2/(-3))/((-98)/21)*77/66. Let q(o) be the third derivative of 0*o + 1/120*o**6 + 0 - 6*o**2 + 1/30*o**5 - i*o**4 - 4/3*o**3. Let q(x) = 0. What is x?
-2, 2
Let n(v) = -v**2 + 2*v + 28. Let p be n(0). Let i be (-1)/2 - p/(-8). Let 6*q**2 + 2*q**2 - 2*q + 2*q**4 - 6*q**i - 2*q**2 = 0. Calculate q.
0, 1
Let k(u) = 6*u - 31. Let z be k(6). Suppose z*w = 10*w - 20. Suppose -3*j**2 - 2*j**2 - 20*j**3 - 5*j + 15*j + 15*j**w = 0. What is j?
-2/3, 0, 1
Let m(h) be the first derivative of 8 - 2/15*h**2 + 14/45*h**3 + 0*h - 1/15*h**4 - 2/25*h**5. Find d such that m(d) = 0.
-2, 0, 1/3, 1
Let m(w) be the second derivative of -1/195*w**6 - 86*w - 2/13*w**3 + 0*w**2 + 1/65*w**5 + 5/78*w**4 + 0. Find b, given that m(b) = 0.
-2, 0, 1, 3
Let d(s) = -s**2 - 117*s - 1614. Let w be d(-101). Factor 16/3*z**w - 2*z + 0*z**4 - 4*z**3 + 2/3*z**5 + 0.
2*z*(z - 1)**3*(z + 3)/3
Solve 56/15*z**4 + 152/15*z**2 + 92/5*z**3 - 18*z - 2/5*z**5 - 208/15 = 0.
-8/3, -1, 1, 13
Let m(a) be the second derivative of a**4/42 + 8*a**3/3 - 305*a**2/7 - 620*a. Solve m(i) = 0.
-61, 5
Suppose 5*x = 5*y + 60, -9*y = 214*x - 209*x - 60. Factor y - 3/5*j**2 + 9/5*j.
-3*j*(j - 3)/5
Let p(d) = -d**2 - 2149*d - 2166. Let g(b) = 3*b. Let c(r) = -6*g(r) + p(r). Determine k so that c(k) = 0.
-2166, -1
Let r(p) = p**3 + 2*p**2 - p + 1. Let b(k) = 415*k**3 + 840*k**2 + 429*k + 13. Let f(m) = b(m) - 3*r(m). Factor f(q).
2*(q + 1)**2*(206*q + 5)
Let v(g) be the first derivative of 1/6*g**6 + 3 + 0*g + 0*g**4 - 2/5*g**5 + 0*g**2 + 0*g**3. Factor v(h).
h**4*(h - 2)
Let b(h) = -h**3 + h**2 + h + 2. Let u be b(0). Let n be (u/(-3))/((-18)/54). Factor 1 - 22*p**n + 16*p**2 + p**3 - 5 + 9*p.
(p - 4)*(p - 1)**2
Suppose 0 = 53*d + 348*d - 1203. Let w(p) be the first derivative of -1/5*p**d - 23 - 1/5*p - 1/20*p**4 - 3/10*p**2. Factor w(u).
-(u + 1)**3/5
Let y(i) = -68*i**3 - 120*i**2 + 944*i - 776. Suppose 241 = 10*l + 41. Let j(n) = 10*n**3 + 17*n**2 - 135*n + 111. Let m(v) = l*j(v) + 3*y(v). Factor m(d).
-4*(d - 3)*(d - 1)*(d + 9)
Let w(d) = -d**2 - 15*d - 33. Let g be w(-12). Solve 6123*r**3 - r**5 + g*r**5 - 6*r**4 + 54*r**2 - 6137*r**3 - 36*r = 0.
-3, 0, 1, 2, 3
Let z(n) = 26*n + 15 - 11*n**4 - 22*n**2 + 6*n**2 + 3*n**3 - 29*n**3. Let j(m) = m**4 + m**3 + m**2 - m. Let k(x) = 6*j(x) + z(x). Let k(g) = 0. What is g?
-3, -1, 1
Let k = -4032 - -2698. Let g = k - -5337/4. Factor g*f**3 - 5/4*f + 1/4*f**2 + 3/4.
(f - 1)**2*(f + 3)/4
Factor 0 + 832/7*y + 52/7*y**3 - 740/7*y**2.
4*y*(y - 13)*(13*y - 16)/7
Suppose 325 - 265 = 10*v. Let q(o) be the first derivative of 0*o**2 - 6 + 3/20*o**5 - 1/8*o**v + 0*o + 3/16*o**4 - 1/4*o**3. Let q(m) = 0. Calculate m.
-1, 0, 1
Let p be 64/36 + -2 + (-40)/(-18). What is f in 45*f**p - 27*f**2 - 16*f**2 + 24*f = 0?
-12, 0
Let b(q) be the first derivative of -2*q**3/3 - 28*q**2 - 822. Suppose b(c) = 0. What is c?
-28, 0
Suppose 0 = -9*v - 1523 + 1577. Let t(c) = -c**2 + 4*c + 15. Let o be t(v). Factor 4/5*x - 1/5*x**4 + 4/5*x**o - 1/5 - 6/5*x**2.
-(x - 1)**4/5
Determine n so that 704*n + 20461*n**4 + 24*n**2 - 128 - 10221*n**4 - 10218*n**4 - 136*n**3 = 0.
-2, 2/11, 4
Let o be 2*(-2 - 0) + 10. Let b be -3 + o/(30/125). Let 2*r + 3*r**3 + 22*r**4 - r + r**3 - b*r**2 - 5*r = 0. Calculate r.
-1, -2/11, 0, 1
Let k(z) = -40*z**2 + 329*z + 327. Let o(d) = -107*d**2 + 987*d + 982. Let x(f) = 8*k(f) - 3*o(f). Factor x(n).
(n - 330)*(n + 1)
Let l(s) be the second derivative of 12*s**2 + 0*s**3 + 41*s + 1/4*s**4 - 1/30*s**5 + 0. Let c(v) be the first derivative of l(v). Factor c(k).
-2*k*(k - 3)
Suppose 9*w + 1145 = 4*w - 4*m, 660 = -3*w + 3*m. Let o be 15*(-15)/w + 9/(-11). Factor 4/11 - 2/11*t**4 + 10/11*t - o*t**3 + 6/11*t**2.
-2*(t - 2)*(t + 1)**3/11
Suppose 7*w - 4*w = 2*q + 18, 5*q - 2*w = -12. Let j(t) be the third derivative of 1/40*t**5 + 16*t**2 + q*t + 0*t**4 + 0 - 1/4*t**3. Factor j(g).
3*(g - 1)*(g + 1)/2
Let q(b) = -9*b**2 - 174*b - 1449. Let x = -77 - -102. Let f(y) = 55*y**2 + 1045*y + 8695. Let w(g) = x*q(g) + 4*f(g). Solve w(i) = 0 for i.
-17
Let q(m) be the first derivative of m**3/2 - 579*m**2/4 - 291*m + 14810. Factor q(g).
3*(g - 194)*(g + 1)/2
Let u(i) be the first derivative of 2*i**5/55 - 14*i**4/11 - 2*i**3/11 + 82*i**2/11 + 112*i/11 + 2663. Solve u(z) = 0.
-1, 2, 28
Suppose -270*k = -3329 + 2789. Suppose -10/11*z**3 + 0*z - 12/11*z**k + 0 - 2/11*z**4 = 0. What is z?
-3, -2, 0
Let l(g) be the first derivative of -1/1800*g**6 + 0*g**2 - 28 + 0*g + 1/75*g**5 - 16/3*g**3 + 0*g**4. Let t(z) be the third derivative of l(z). Factor t(w).
-w*(w - 8)/5
Let w be (12/10)/((-6)/(-440)). Let r be 1*w/2 - 2. Find v, given that -67*v**3 - 30*v + 70*v**2 + 51*v**2 - 47*v**2 + r*v**4 + 4 - 15*v**3 - 8*v**5 = 0.
1/4, 1, 2
Let b(q) be the second derivative of -5*q**4/12 + 25*q**3/2 + 85*q**2 - 217*q. Factor b(p).
-5*(p - 17)*(p + 2)
Suppose 17*h - 291 - 729 = 0. Let o be ((-2)/h)/(-7 + 744/108). Factor -o*m + 1/10*m**2 - 2/5.
(m - 4)*(m + 1)/10
Let m(t) be the third derivative of -t**6/40 + t**5/20 + 5*t**4/4 + 4*t**3 + 1895*t**2. Factor m(r).
-3*(r - 4)*(r + 1)*(r + 2)
Find l, given that -11/6*l + 1/6*l**2 + 4 = 0.
3, 8
Let w = 672/1375 - 27/125. Let r(q) be the second derivative of w*q**2 + q - 4/33*q**3 + 1/66*q**4 + 0. Factor r(i).
2*(i - 3)*(i - 1)/11
Let s(v) = 113*v**2 - 1241*v + 42. Let p(y) = 97*y**2 - 1240*y + 42. Let f(g) = -4*p(g) + 5*s(g). Find x, given that f(x) = 0.
2/59, 7
Let s = -1179 - -11803/10. Let r(a) be the second derivative of -s*a**3 + 11/10*a**4 + 7/50*a**6 - 1/70*a**7 + 0 - 27/50*a**5 + 9*a + 9/10*a**2. Factor r(y).
-3*(y - 3)*(y - 1)**4/5
Suppose -4*n = 4*n - 16. Suppose -3*o +