2*i*(5*i - 1)
Factor 21/2*x**2 + 15/2*x**4 + 0 - 3*x - 3/2*x**5 - 27/2*x**3.
-3*x*(x - 2)*(x - 1)**3/2
Let z(i) be the second derivative of 3/110*i**5 - 4/33*i**3 - 14/33*i**6 + 0 - 28*i + 10/33*i**4 - 7/33*i**7 + 0*i**2. Suppose z(r) = 0. What is r?
-1, 0, 2/7
Suppose 2*a + 4*x - 28 = 0, 49 = a + x - 6*x. Factor 98/5*p**3 + 252/5*p**2 + a*p + 16/5.
2*(p + 2)*(7*p + 2)**2/5
Let h(k) be the first derivative of -1/4*k**2 - 1/60*k**6 - 1/3*k**3 - 1/4*k**4 - 1/10*k**5 - 9 - k. Let z(b) be the first derivative of h(b). Factor z(o).
-(o + 1)**4/2
Suppose 24/13*f**4 - 4*f**3 - 1000/13 + 1350/13*f - 320/13*f**2 - 2/13*f**5 = 0. Calculate f.
-4, 1, 5
Let v(r) be the first derivative of -r**6/12 - 9*r**5/5 - 93*r**4/8 - 68*r**3/3 - 15*r**2 - 745. Determine w so that v(w) = 0.
-10, -6, -1, 0
Let m(j) be the first derivative of -j**5/15 + 13*j**4/12 - 19*j**3/3 + 95*j**2/6 - 50*j/3 - 31. Factor m(v).
-(v - 5)**2*(v - 2)*(v - 1)/3
Factor -150*g + 12*g**2 - 163 + 70*g**3 + 15*g**4 + 8*g**2 + 208.
5*(g - 1)*(g + 3)**2*(3*g - 1)
Let k(a) be the third derivative of -a**2 + 1/100*a**5 + 0*a**3 + 1/40*a**4 + 0 + 0*a. Factor k(q).
3*q*(q + 1)/5
Let n(z) = 5*z**2 - 17*z - 91. Let g(t) = 14*t**2 - 50*t - 272. Let p(d) = 3*g(d) - 8*n(d). Let p(m) = 0. Calculate m.
-4, 11
Let l be 6/(-9) + (-68)/(-12). Suppose 0*h = -l*h + 15. Let -3*k**2 + 3/2 - 3/2*k + 3*k**h + 3/2*k**4 - 3/2*k**5 = 0. What is k?
-1, 1
Let j(p) be the second derivative of 3*p**6/20 + p**5/40 - p**4/16 - 13*p**2 + 21*p. Let f(z) be the first derivative of j(z). What is v in f(v) = 0?
-1/3, 0, 1/4
Let a(u) be the second derivative of -u**8/13440 + u**7/3360 - u**5/480 + u**4/6 - 2*u. Let m(t) be the third derivative of a(t). Let m(l) = 0. Calculate l.
-1/2, 1
Suppose 4*f = 53 + 59. Suppose 18*d = 4*d + f. Factor 0 - 3/2*i**4 - 3/2*i**d + 0*i + 3*i**3.
-3*i**2*(i - 1)**2/2
Factor 45*u**2 - 30*u - 30*u**3 + 9*u**4 - 15*u**2 - 4*u**4 + 25*u**2.
5*u*(u - 3)*(u - 2)*(u - 1)
Let s(f) = f**2 + f + 2. Let c(r) = -16*r**2 - 8*r - 16. Let q(o) = c(o) + 12*s(o). Find x such that q(x) = 0.
-1, 2
Let t be 8/(-5)*2/(192/(-120)). Factor 3/5*b**t + 3/5 + 6/5*b.
3*(b + 1)**2/5
Let t be (-1 + -2)*(-1 + (-3)/9). Let m(d) be the third derivative of 0*d + 0 - 6*d**2 - 1/3*d**3 + 1/24*d**t + 1/60*d**5. Factor m(b).
(b - 1)*(b + 2)
Let k(b) be the third derivative of 0 + 5/336*b**8 + 0*b**3 + 0*b + 1/24*b**6 - 16*b**2 + 0*b**4 - 1/21*b**7 + 0*b**5. Factor k(n).
5*n**3*(n - 1)**2
Let t = 8/5335 - -42608/48015. Let -10/9*z - 4/9 - 2/9*z**3 - t*z**2 = 0. What is z?
-2, -1
Let g(u) be the third derivative of u**8/546 + u**7/91 + u**6/195 - 3*u**5/65 - 2*u**4/39 + u**3/13 - u**2 + 145*u. Suppose g(y) = 0. What is y?
-3, -1, 1/4, 1
Factor 31328/3*z**2 - 15488/3*z + 0 - 706/3*z**3 + 4/3*z**4.
2*z*(z - 88)**2*(2*z - 1)/3
Let v(j) be the first derivative of j**4/32 + 19*j**3/24 - 5*j**2/4 + 40. What is a in v(a) = 0?
-20, 0, 1
Let g(p) be the second derivative of 3*p + 1/9*p**2 + 1/6*p**4 + 0 - 2/9*p**3. Suppose g(f) = 0. Calculate f.
1/3
Solve 1277/5*g**3 + 68/5*g - 756/5*g**4 - 49/5*g**5 - 108*g**2 + 0 = 0 for g.
-17, 0, 2/7, 1
Let o(t) = -6*t**2 + 14*t**2 - 7*t**2 - 2 + 5*t - 2*t**2. Let q be o(1). Let -3*c - 9/2*c**q - 1/2 = 0. What is c?
-1/3
Suppose 6*x**3 - 20*x**3 + 11*x**3 + 7*x**3 + 400*x - 127*x**2 - 81*x**2 = 0. Calculate x.
0, 2, 50
Let v be 2 - -2 - 340/85. What is y in -7/2*y**3 + v - 3/4*y**2 + 1/2*y = 0?
-1/2, 0, 2/7
Let u = 9089 + -9087. Factor u*z + 2/3*z**2 - 8/3.
2*(z - 1)*(z + 4)/3
Let m(g) be the third derivative of g**5/120 - 5*g**4/24 + 25*g**3/12 - 132*g**2. Determine i so that m(i) = 0.
5
Let m(x) be the first derivative of -5/4*x**4 + 2*x + 16 - 8/3*x**3 - 1/2*x**2. Factor m(q).
-(q + 1)**2*(5*q - 2)
Let h be (18 + -71)/(0 - 1). Let a = h - 369/7. Suppose -4/7*l**5 - 4/7 + 2/7*l**3 + a*l + 2*l**2 - 10/7*l**4 = 0. Calculate l.
-2, -1, 1/2, 1
Let d(p) be the first derivative of -5 + 1/12*p**3 - 1/8*p**2 - 1/4*p + 1/16*p**4. Factor d(z).
(z - 1)*(z + 1)**2/4
Let u(q) be the first derivative of q**6/3420 + q**5/570 - 17*q**3/3 + 12. Let s(l) be the third derivative of u(l). Factor s(t).
2*t*(t + 2)/19
Suppose 0 = -3*p - 4*y - 10, -2*y - 18 = -7*p + 2*p. Determine c, given that 20*c**3 - 2 + 34 + 16*c + 64*c + p*c**4 + 66*c**2 = 0.
-4, -1
Let c(i) be the first derivative of i**3/12 + 19*i**2/8 - 21*i/2 - 299. Determine b so that c(b) = 0.
-21, 2
Let b be ((-76)/(-19))/(4/5) - 5. Let d(j) be the third derivative of b*j + 11*j**2 + 1/15*j**5 + 1/2*j**4 + 0*j**3 + 0. Solve d(y) = 0 for y.
-3, 0
Let k be ((10/(-3))/(-5))/(3/18). Suppose 5*i - 10 = 0, -4*r - 9 + 1 = -k*i. Determine a so that r - 2/5*a**2 - 2/5*a = 0.
-1, 0
Let u(q) be the third derivative of 1/6*q**3 + 1/300*q**5 + 0 + 1/20*q**4 - 10*q**2 + 0*q. Find w, given that u(w) = 0.
-5, -1
Let l(h) be the first derivative of -40*h**2 + 5*h - 5 + 320/3*h**3. Find f, given that l(f) = 0.
1/8
Let d(l) be the third derivative of 1/4*l**5 + 0*l - 10*l**2 + 5/6*l**3 + 1/24*l**6 + 0 + 5/8*l**4. Factor d(o).
5*(o + 1)**3
Let m(y) be the first derivative of -2*y**6/15 + 2*y**5/5 - 4*y**3/3 + 2*y**2 + 9*y + 24. Let b(t) be the first derivative of m(t). Factor b(c).
-4*(c - 1)**3*(c + 1)
Let j(b) be the third derivative of 0*b**7 - 1/6*b**4 + 0 - 26*b**2 + 0*b + 0*b**5 + 0*b**3 - 1/84*b**8 + 1/15*b**6. Suppose j(x) = 0. Calculate x.
-1, 0, 1
Find h such that -2/5*h**3 + 23/5*h**2 + 13/5*h - 12/5 = 0.
-1, 1/2, 12
Let k(x) be the first derivative of 14*x**3/33 + 87*x**2/11 + 72*x/11 + 22. Factor k(f).
2*(f + 12)*(7*f + 3)/11
Let i(f) be the third derivative of -f**8/8400 - f**7/4200 + f**6/900 + 11*f**3/6 + 14*f**2. Let w(v) be the first derivative of i(v). Solve w(g) = 0 for g.
-2, 0, 1
Suppose -720*g - 340 = -805*g. Let 36*m**3 + 27/2*m**2 + 0*m + 0 + 24*m**g = 0. Calculate m.
-3/4, 0
Let s(h) be the first derivative of 5*h**4/4 - 55*h**3 + 720*h**2 - 1280*h - 146. Factor s(y).
5*(y - 16)**2*(y - 1)
Suppose -33 + 6 = -9*b. Let d be b + (-3 - 5/(-10)). Solve 7/4*t + d - 5/4*t**4 + 3/4*t**2 - 7/4*t**3 = 0.
-1, -2/5, 1
Let p be -2 + -6 + (-4 - (6 + -22)). Let c(f) be the third derivative of 0 + 2*f**2 - 2*f**3 + 3/20*f**5 + 1/40*f**6 + 0*f**p + 0*f. Let c(z) = 0. What is z?
-2, 1
Suppose 64 = -11*i + 13*i. What is y in 3 + 1 - i*y + y**2 + 28*y = 0?
2
Let o be 16 + -5 + (-360)/33. Factor 6/11*j - 6/11*j**3 - 8/11*j**2 + 9/11 - o*j**4.
-(j - 1)*(j + 1)*(j + 3)**2/11
Let b(u) be the third derivative of u**9/90720 - u**8/10080 + u**7/3780 + u**5/5 + 6*u**2. Let n(t) be the third derivative of b(t). Factor n(o).
2*o*(o - 2)*(o - 1)/3
Let r(s) = -5*s**2 + 534*s + 19062. Let x(t) = -2*t**2 + 268*t + 9530. Let a(l) = -4*r(l) + 9*x(l). Suppose a(p) = 0. What is p?
-69
Let c be 164/820*(-20)/(-22). Factor -6/11*p + 0 + c*p**2.
2*p*(p - 3)/11
Suppose -5*u - y + 197 = 0, -2*u + 5*u - 132 = 4*y. Determine r, given that u*r**2 + 2*r**4 - 8*r + 6*r**3 - 40*r**2 = 0.
-2, 0, 1
Let o(l) = -2*l**2 + 3*l - 1. Let v(u) = -4*u + 4. Let s(m) = 7*m - 7. Let y(q) = -3*s(q) - 5*v(q). Let j(c) = 2*o(c) + 2*y(c). Solve j(r) = 0.
0, 1
Solve 0*o + 5/2*o**3 - 45/2*o**2 + 5/2*o**4 - 1/2*o**5 + 54 = 0 for o.
-2, 3
Let y be (6/(-15))/((-16)/80). Find p such that -2/3*p - 1/3*p**y + 8/3 = 0.
-4, 2
Let v(j) be the third derivative of j**5/45 - j**4/6 - 3*j**2. What is y in v(y) = 0?
0, 3
Let b be ((6/1)/(-6))/(1/(-3)). Suppose b*u - 37 + 25 = 0. Suppose 2/13*l**u + 0 - 2/13*l**2 - 2/13*l**5 + 0*l + 2/13*l**3 = 0. Calculate l.
-1, 0, 1
Let o(w) be the second derivative of 3*w**5/20 + w**4 - 3*w**3/2 - 27*w**2 - 2*w - 2. Factor o(c).
3*(c - 2)*(c + 3)**2
Factor 8*y + 18*y + 15*y - 51*y - 15*y**2.
-5*y*(3*y + 2)
Let j(f) = f**2 - 7*f - 6. Let g(b) = -2*b**2 + 15*b + 13. Let n be 16 + -5 - 4/(-2). Suppose -k = -1 - 5. Let l(i) = k*g(i) + n*j(i). Let l(v) = 0. What is v?
0, 1
Let x(c) = 4*c**4 + 6*c**3 - 6*c**2 - 2*c + 8. Let d(s) = -5*s**4 - 7*s**3 + 5*s**2 + s - 9. Let a(y) = -2*d(y) - 3*x(y). Let a(h) = 0. Calculate h.
-3, -1, 1
Let i(w) be the second derivative of w**3/6 + 22*w. Let n(c) = -2*c**3 + 4*c. Let d(l) = -4*i(l) - n(l). Determine z, given that d(z) = 0.
-2, 0, 2
Suppose -5*j + 20 = -35. Suppose -26 + 100*v**2 - 88*v**4 + j + 60*v**3 + 3 - 28*v - 32*v**5 = 0. Calculate v.
-3, -1, -1/4, 1/2,