*(u + 5)/5
Suppose -7*a + 12*a = 3*k + 36, -k = 7. Let w(h) be the first derivative of -6*h**2 - 4/5*h**5 - 4/3*h**a + 3*h**4 + 1 + 8*h. What is g in w(g) = 0?
-1, 1, 2
Let g(w) be the first derivative of 1/6*w**3 - 100 + 0*w + 21/4*w**2. Suppose g(d) = 0. Calculate d.
-21, 0
Let u(z) be the first derivative of z**7/336 - z**6/40 + 3*z**5/40 - 5*z**4/48 + z**3/16 - 21*z + 50. Let n(y) be the first derivative of u(y). Factor n(j).
j*(j - 3)*(j - 1)**3/8
Let p(t) = 11114*t**2 + 13*t - 3. Let y(i) = 122254*i**2 + 140*i - 32. Let f(q) = 32*p(q) - 3*y(q). Factor f(u).
-2*u*(5557*u + 2)
Let f(g) be the first derivative of -g**8/2184 + 16*g**7/1365 - 23*g**6/260 + 3*g**5/13 + 151*g**2 - 44. Let l(j) be the second derivative of f(j). Factor l(n).
-2*n**2*(n - 10)*(n - 3)**2/13
Find d such that 55*d + 0 - 190*d**2 - 35/4*d**3 = 0.
-22, 0, 2/7
Let f = -838 - -1063. Let b = 227 - f. Factor 0 + 3*i**3 + 48/7*i**b + 12/7*i.
3*i*(i + 2)*(7*i + 2)/7
Let f(h) be the first derivative of 6*h**2 + 11*h - 37 + 1/3*h**3. Factor f(w).
(w + 1)*(w + 11)
Let m be (-3 + -15)*(-2)/4. Suppose 20*x - 491 - 109 = 0. Factor -2 - 8 - 12*k - m + x*k**2 - 5 - 9*k**3.
-3*(k - 2)**2*(3*k + 2)
Suppose 0 = 181*s - 119*s - 8494. Suppose 0 = 3*f - 160 - 5. Find h such that f*h**2 + 16*h**3 - s*h**2 + 22*h**2 - 96*h - 20 = 0.
-1, -1/4, 5
Suppose -6*s + 34 = -5*h, 0*s = 3*s + 2*h - 8. Let k(i) be the first derivative of -3/20*i**s + 39 + 0*i - 1/25*i**5 + 0*i**2 - 2/15*i**3. Solve k(c) = 0 for c.
-2, -1, 0
Let r be (-228)/(-240) - (2/3 - (-32)/384). Factor -14/5 + r*k**2 + k.
(k - 2)*(k + 7)/5
Let z(r) be the third derivative of 0*r + 1/8*r**4 + 3 - 1/48*r**6 + 0*r**3 + 13/120*r**5 - 3*r**2. Find h, given that z(h) = 0.
-2/5, 0, 3
Let x(n) be the first derivative of -3*n + 64 - 9/5*n**2 - 1/5*n**3. Determine c so that x(c) = 0.
-5, -1
Let u(f) = 19*f**3 + 105*f**2 + 104*f - 208. Let x(j) = 4*j**3 + 2*j - 1. Let w(l) = u(l) - 4*x(l). Find r, given that w(r) = 0.
-34, -2, 1
Let k be (-79074)/(-19665) + 4/(-190). Factor 4/5*f - 12/5*f**2 - 9/5*f**3 + 0 + 7/5*f**k.
f*(f - 2)*(f + 1)*(7*f - 2)/5
Let -1/5*g**5 + 3/5*g**4 + 0*g + 0 - 3*g**2 + 13/5*g**3 = 0. Calculate g.
-3, 0, 1, 5
What is h in 1/6*h**4 + 332*h + 443/6*h**2 + 6*h**3 + 264 = 0?
-12, -11, -1
Find c such that 752/7*c**2 + 528/7*c - 32/7*c**4 + 0 + 28*c**3 - 4/7*c**5 = 0.
-11, -2, -1, 0, 6
Let q(g) be the second derivative of -1/2*g**2 + 38*g + 23/24*g**4 - 9/20*g**5 - 1/4*g**3 - 2. Factor q(p).
-(p - 1)*(2*p - 1)*(9*p + 2)/2
Suppose -15*x - u + 241 = -10*x, 204 = 4*x - 2*u. Suppose x = 17*i - 19. Factor 0 + 0*t**2 + 0*t + 4/3*t**i - 8/3*t**3.
4*t**3*(t - 2)/3
Suppose -1344/5*g**5 + 54/5 - 396/5*g**3 + 357*g**2 - 579/5*g - 3408/5*g**4 = 0. What is g?
-2, -9/7, 1/4
Let x(p) = -15*p**2 - 20*p - 84. Let f(h) = h. Let l(c) = 7*c**2 + 14*c + 42. Let v(q) = 3*f(q) - l(q). Let z(b) = 13*v(b) - 6*x(b). Solve z(a) = 0 for a.
-21, -2
Let v be 3 + 1/(7*(-7)/(-245)) + -4. Let m(z) be the second derivative of 1/48*z**v + 0*z**2 + 0*z**3 - 20*z + 0. Factor m(g).
g**2/4
Factor -384/7 + 28*f - 2/7*f**2.
-2*(f - 96)*(f - 2)/7
Let 10*y**3 + 19/2*y**4 - 1/4*y**5 + 0 - 39/4*y - 19/2*y**2 = 0. Calculate y.
-1, 0, 1, 39
Let u be (-90)/198*276/(-345). Factor 0*q**3 + u*q + 6/11*q**2 + 0 - 2/11*q**4.
-2*q*(q - 2)*(q + 1)**2/11
Suppose -t = 22*t + 10*t. Let u = -2738 - -2738. Factor 2/5*w**4 - 2/5*w**2 + t - 2/5*w**3 + u*w + 2/5*w**5.
2*w**2*(w - 1)*(w + 1)**2/5
Let i(d) be the first derivative of d**6/420 - 2*d**5/105 - 11*d**4/84 - 2*d**3/7 + 15*d**2/2 - d - 65. Let l(a) be the second derivative of i(a). Factor l(n).
2*(n - 6)*(n + 1)**2/7
Let -84*g**3 - 5*g**4 - 42*g + 234*g + 21 + 9 + 50 + 13*g**4 + 20*g**2 = 0. What is g?
-1, -1/2, 2, 10
Let o(s) be the first derivative of 2*s**3/39 - 6676*s**2/13 + 22284488*s/13 - 6435. Find d such that o(d) = 0.
3338
Let u be (5425/63)/31 - 9/9. Solve 2/9*h**2 + 4/3*h + u = 0.
-4, -2
Let q(y) be the second derivative of 11/144*y**4 + 20*y - 1/240*y**5 + 0*y**3 + 0*y**2 + 3. Determine d, given that q(d) = 0.
0, 11
Let d(p) be the second derivative of -1/2*p**4 - 75*p - 61/2*p**3 + 0 + 93/2*p**2. Suppose d(v) = 0. Calculate v.
-31, 1/2
Let h = 4898918/12495 + -6654/17. Let k = h + 2/245. Determine v so that 2*v - k*v**2 - 4/3 = 0.
1, 2
Let y(j) be the second derivative of j**7/168 - j**5/8 + 5*j**4/12 - j**3/3 - 23*j**2/2 + 44*j. Let v(p) be the second derivative of y(p). Factor v(x).
5*(x - 1)**2*(x + 2)
Suppose -3*j = -2*j - 2. Let f be (2*(-1)/11)/((-13580)/21340). Solve 10/7*x + f*x**j + 12/7 = 0.
-3, -2
Let t(v) be the first derivative of -14*v**2 - 2/3*v**3 + 64*v - 110. Factor t(j).
-2*(j - 2)*(j + 16)
Let a = 17007/46 + -8492/23. Suppose -1/2*s**2 - a*s + 3 = 0. Calculate s.
-3, 2
Let l = -63 + 92. Let v(u) = -8*u + 4 - 14*u - 2*u - l - 6*u**2. Let h(q) = -2*q**2 - 8*q - 8. Let c(n) = 7*h(n) - 2*v(n). Factor c(k).
-2*(k + 1)*(k + 3)
Let t = 205795 - 205792. Factor 0 + 4*d**2 + 18/5*d + 2/5*d**t.
2*d*(d + 1)*(d + 9)/5
Let y(q) be the third derivative of q**5/60 + 52*q**4/3 - 418*q**3/3 - 25*q**2 - 34. Solve y(x) = 0 for x.
-418, 2
Let y = 142 - 142. Suppose -u - 9*u - 7*u = y. Find n, given that u + 3/2*n - 4*n**2 + 5/2*n**3 = 0.
0, 3/5, 1
Let h(t) be the third derivative of -t**6/30 - 17*t**5/3 + 59*t**4/2 + 174*t**3 - t**2 - 7*t - 97. What is m in h(m) = 0?
-87, -1, 3
Let b(y) be the third derivative of y**5/20 + 87*y**4/4 - 175*y**3/2 + 87*y**2 + 9. Factor b(x).
3*(x - 1)*(x + 175)
Let b = -2183 - -2224. Let l(v) be the first derivative of -20*v**4 - 360*v**2 + 472/3*v**3 - b + 4/5*v**5 + 324*v. Factor l(p).
4*(p - 9)**2*(p - 1)**2
Let c(d) = 15*d**3 + 29*d**2 - 28*d - 50. Let n be c(-2). Let o(h) be the first derivative of -6/19*h - 48 + 2/57*h**3 - 2/19*h**n. Factor o(y).
2*(y - 3)*(y + 1)/19
Let z = 354 + -336. Let u be ((-76)/(-108))/(3/z). Factor -u*s - 56/9*s**2 - 2/3.
-2*(4*s + 1)*(7*s + 3)/9
Factor -252*p**2 + 434 + 245*p**2 - 218 + 5*p**3 - p**4 + 3*p - 216.
-p*(p - 3)*(p - 1)**2
Let m(l) be the third derivative of l**6/210 - 19*l**5/210 + 37*l**4/84 - 2*l**3/3 - 1065*l**2. Factor m(x).
2*(x - 7)*(x - 2)*(2*x - 1)/7
Suppose 539*v - 937 = 1219. Factor 0 - 1/2*a + 1/4*a**3 + 3/4*a**v - 3/4*a**2 + 1/4*a**5.
a*(a - 1)*(a + 1)**2*(a + 2)/4
Let k(q) be the first derivative of -93/4*q**2 + 2*q**3 + 102 - 12*q. What is n in k(n) = 0?
-1/4, 8
Suppose -23*k = 21*k + 2*k - 92. Let i be (-1*3)/(-1) - 1. Factor -120*u**k + 57*u**i + u + 62*u**2.
-u*(u - 1)
Let r(h) be the first derivative of 4*h**5/5 + 28*h**4 + 308*h**3/3 + 100*h**2 - 3460. Factor r(m).
4*m*(m + 1)*(m + 2)*(m + 25)
Let k be 110/(-45) + (-10528)/(-3384). Suppose 0 + 0*j - k*j**5 + 10*j**3 - 12*j**2 + 8/3*j**4 = 0. What is j?
-3, 0, 1, 6
Let i be (-198)/(-20) + -9 - ((-43)/5 - -9). Factor -21/2*r + 10 + i*r**2.
(r - 20)*(r - 1)/2
Let m be 1*(80/24 + (-12)/9). Let z(y) be the third derivative of 1/24*y**7 - m*y**2 - 1/24*y**6 + 0*y**3 - 5 + 0*y - 1/16*y**5 + 0*y**4. Factor z(t).
5*t**2*(t - 1)*(7*t + 3)/4
Let k be (-27)/5 + (-7)/(-252)*-9*-24. Factor -k*b**2 - 12/5 - 12/5*b.
-3*(b + 2)**2/5
Let j(v) be the second derivative of -84*v**2 - 1/4*v**4 - 57/2*v**3 + 26 - 2*v. Factor j(n).
-3*(n + 1)*(n + 56)
Let w(m) = 64*m**5 - 60*m**4 + 120*m**3 + 20*m**2 - 40. Let i(h) = 3*h**5 - h**4 + h**3 + h**2 - 2. Let o(n) = -20*i(n) + w(n). Factor o(a).
4*a**3*(a - 5)**2
Let j be 78/455*(204/10 + (-96)/240). Factor -j + 3*q + 3/7*q**2.
3*(q - 1)*(q + 8)/7
Let c(q) be the third derivative of 59*q**6/40 + 6*q**5 - 173*q**4/8 - 3*q**3 + 234*q**2 - q + 8. Factor c(m).
3*(m - 1)*(m + 3)*(59*m + 2)
Let b be 5/50 + (-21)/210. Let d(a) be the third derivative of -12*a**2 - 5/42*a**7 + 0*a**4 + b*a - 1/12*a**5 + 0*a**3 + 0 - 1/4*a**6. Solve d(n) = 0 for n.
-1, -1/5, 0
Factor 525*s - 10*s**3 - 1030 + 510*s**2 - 15*s**3 + 20*s**3.
-5*(s - 103)*(s - 1)*(s + 2)
Let x = -35 + 997. Let d = -959 + x. Find y such that -2/9*y + 2/9*y**2 + 2/9*y**d - 2/9 = 0.
-1, 1
Factor 182/3*j + 68/9*j**2 + 0 + 2/9*j**3.
2*j*(j + 13)*(j + 21)/9
Let n = 255 + -274. Let v be (-6)/27*(n + 18). Factor -28/9*b - 26/9*b**2 - v.
-2*(b + 1)*(13*b + 1)/9
Let g(j) = 7*j**3 - 23*j**2 - 44*j - 4. Let u(x) = -x**3 + x**2 + 8. Let k(w) = -3*g(w) - 24*u(w). Factor k(d).
3*(d - 1)*(d + 6)*(d + 10)
Le