7*r**5 - 1/7*r**4 - 16/7*r = 0.
-4, -1, 1, 4
Let q = 8004 + -8004. Determine b so that -4/3*b + 2/3*b**2 + q = 0.
0, 2
Suppose -2*n + n - 35 = -5*k, -25 = -5*n. Let t = 10 - k. Suppose 9*r**2 + t*r - 2*r - 7*r**2 + r**3 = 0. Calculate r.
-2, 0
Factor -15*i - 1/2*i**3 + 31/2*i**2 + 0.
-i*(i - 30)*(i - 1)/2
Suppose -36/5 + 4/5*j**3 + 12*j - 28/5*j**2 = 0. Calculate j.
1, 3
Let m(k) be the first derivative of 6*k**5/65 + 2*k**4/13 - 10*k**3/39 - 2*k**2/13 - 77. Determine d, given that m(d) = 0.
-2, -1/3, 0, 1
Let s(d) be the third derivative of -d**6/120 + d**5/3 - 19*d**4/24 - 125*d**2 - 2. Suppose s(a) = 0. What is a?
0, 1, 19
Let n = 903 + -902. Let r(y) be the first derivative of -25/7*y**3 - 12/7*y - n - 30/7*y**2. Solve r(p) = 0.
-2/5
Let c(h) be the third derivative of -h**7/840 - h**6/360 + h**5/24 - h**4/8 + h**3 + 24*h**2. Let a(s) be the first derivative of c(s). Factor a(q).
-(q - 1)**2*(q + 3)
Let t(q) be the first derivative of 0*q + 0*q**3 - 1/4*q**4 - 1/5*q**5 + 0*q**2 + 13. Let t(f) = 0. Calculate f.
-1, 0
Let s(o) be the second derivative of 3*o**2 - 2*o - 1/180*o**6 + 0 + 1/36*o**4 + 1/90*o**5 - 1/9*o**3. Let r(d) be the first derivative of s(d). Solve r(q) = 0.
-1, 1
Let z = 39109/9 + -4345. Suppose -5/3*w**3 + 2/9*w**4 + 4/9*w + 5/9*w**5 + z*w**2 + 0 = 0. What is w?
-2, -2/5, 0, 1
Let u be 3*(-3)/(-9)*1. Let a(r) = -3*r**2 - 5*r + 3*r**2 - r**4 + 4*r. Let m(v) = 2*v**4 + 9*v**2 - v. Let d(f) = u*m(f) + 5*a(f). Factor d(w).
-3*w*(w - 1)**2*(w + 2)
Let t(k) = k**2 - 7*k - 4. Let s be t(7). Let o be (-26)/(-8) + 1/s. What is f in 3*f + f + 5*f**2 - o*f**2 = 0?
-2, 0
Suppose -2944*u + 2984*u - 120 = 0. Factor 0*z + 4/3*z**4 - 16/3*z**u + 0 + 4*z**2.
4*z**2*(z - 3)*(z - 1)/3
Let b = -40 - -40. Let o(f) be the first derivative of 1/5*f**5 - 1/18*f**6 - 1/12*f**4 + 1/3*f**2 - 1/3*f**3 + b*f + 2. Let o(i) = 0. What is i?
-1, 0, 1, 2
Let w(s) be the first derivative of -s**6/15 - 2*s**5/5 - s**4/2 + 4*s**3/3 + 4*s**2 - 19*s + 26. Let m(h) be the first derivative of w(h). Factor m(z).
-2*(z - 1)*(z + 1)*(z + 2)**2
Let t(q) = -6*q**2 - 99*q + 78. Let c(d) = -12*d**2 - 207*d + 156. Let y(n) = -6*c(n) + 11*t(n). Factor y(g).
3*(g + 26)*(2*g - 1)
Let d = -13630 + 13632. Factor 480/11*v + 6/11*v**3 - 102/11*v**d - 384/11.
6*(v - 8)**2*(v - 1)/11
Let g(b) be the second derivative of b**7/840 - b**5/80 + b**4/48 - 7*b**2/2 + 14*b. Let h(q) be the first derivative of g(q). Suppose h(p) = 0. What is p?
-2, 0, 1
Let i(j) be the third derivative of -j**7/735 - j**6/35 + 2*j**5/15 - 8*j**2. Factor i(t).
-2*t**2*(t - 2)*(t + 14)/7
Let m(p) be the second derivative of -3/5*p**5 - 5/4*p**4 + 0 + p**3 + 15*p + 0*p**2 + 3/10*p**6. Factor m(r).
3*r*(r - 2)*(r + 1)*(3*r - 1)
Let m(f) be the second derivative of -f**8/56 + f**7/15 - f**6/30 + 5*f**2/2 + 16*f. Let b(t) be the first derivative of m(t). Determine p so that b(p) = 0.
0, 1/3, 2
Factor -930882 - 1595074 - 3*t**3 + 747844 + 286*t**2 - 63504*t - 1042*t**2.
-3*(t + 84)**3
Let h(m) be the first derivative of m**4 + 28*m**3 + 240*m**2 + 400*m - 7. Let h(x) = 0. Calculate x.
-10, -1
Suppose 146 = -32*k + 1010. Let h be 5/1 - 111/k. Factor h*t - 8/9 - 2/9*t**2.
-2*(t - 2)**2/9
Let v(g) = g**5 - g**4 + g**3 - g**2 - g + 1. Let i(d) = -6*d**3 - 34*d**2 + 3 - 4*d + 20*d**5 + 2*d**5 + 9 + 26*d**4. Let o(q) = -i(q) + 4*v(q). Factor o(l).
-2*(l + 1)**3*(3*l - 2)**2
Let d be 35/5*18/42. Let r(t) be the third derivative of 0 - d*t**2 - 1/8*t**4 - 1/20*t**5 + 0*t + t**3. Factor r(s).
-3*(s - 1)*(s + 2)
Let n(w) = 2*w**4 - 6*w**3 + 2*w**2 + 6*w - 5. Let v(i) = i**4 - i**3 - i**2 + i - 1. Let f(b) = n(b) - v(b). Suppose f(y) = 0. Calculate y.
-1, 1, 4
Suppose 15*u - 105 = -20*u. Let f(w) be the second derivative of -1/4*w**4 + 0*w**5 + 0*w**2 + 1/30*w**6 - 1/3*w**3 + u*w + 0. Find s such that f(s) = 0.
-1, 0, 2
Let q(h) be the second derivative of h**6/255 - 9*h**5/170 + 7*h**4/102 + 3*h**3/17 - 8*h**2/17 - 3*h + 1. Suppose q(t) = 0. What is t?
-1, 1, 8
Let w = -20325 + 101626/5. Determine q so that -8/5 + 4/5*q + 6/5*q**2 - 1/5*q**3 - w*q**4 = 0.
-2, 1, 2
Let c(t) be the first derivative of -5*t**4/48 - t**3/8 + t**2/4 + 25*t + 7. Let x(s) be the first derivative of c(s). Factor x(v).
-(v + 1)*(5*v - 2)/4
Let o be (((-42)/49)/(6/(-28)))/1. Let q(i) be the first derivative of 1/3*i**o - 16/9*i**3 + 0*i + 7 + 8/3*i**2. Factor q(l).
4*l*(l - 2)**2/3
Factor 3/7*f**4 - 9/7*f**3 + 12/7 + 9/7*f - 15/7*f**2.
3*(f - 4)*(f - 1)*(f + 1)**2/7
Let u = 37 - 35. Find h such that u*h**2 - 10*h**3 - 11*h**3 + 3*h**2 + 21*h + h**2 - 6 = 0.
-1, 2/7, 1
Let d(m) be the second derivative of m**7/14 + 21*m**6/10 + 18*m**5 + 25*m**4 - 25*m + 1. Determine i, given that d(i) = 0.
-10, -1, 0
Let w(v) = -2*v + 7. Let n(a) = a**2 - 16*a + 45. Let z(t) = -n(t) + 6*w(t). Factor z(k).
-(k - 3)*(k - 1)
Let g(m) be the first derivative of -4*m**3/3 - 8*m**2 - 16*m + 79. Factor g(j).
-4*(j + 2)**2
Let g = 96/5 + -19. Let t be -1*4/(-10)*(-2 - -4). Factor t*m + g*m**3 + 0 - 4/5*m**2.
m*(m - 2)**2/5
Let r be (-1)/3*2*(-9)/6. Suppose -4 + 4*n**3 + 8*n**2 - 2*n**4 - r - 2 - 4*n + 1 = 0. What is n?
-1, 1, 3
Suppose -5*t = 3*z + 17, -5*z + 0*z = t - 1. Suppose -4*u + 13 = z. Solve -2 + 3*x**u + 12*x**2 + 14 + 24*x + 3*x**2 = 0.
-2, -1
Factor 84*g**2 - 3*g**5 + 3*g + 3*g**4 - 9*g**4 - 78*g**2.
-3*g*(g - 1)*(g + 1)**3
Let k be 26/169 + 2/(-13). Let z = 87/2 - 42. Factor z*c**3 + c**2 + k*c + 0.
c**2*(3*c + 2)/2
Let c be (1/(-3))/((-25)/10575). Let d = -702/5 + c. Let -d*l + 0 + 3/5*l**2 = 0. What is l?
0, 1
Let v be (-2)/3 - (-16)/6. Let b(q) = -q**3 - 37*q**2 - 166*q + 120. Let c be b(-6). Determine h, given that 0 + c*h - 3/4*h**v = 0.
0
Let r(i) be the second derivative of i**5/100 - i**4/60 - 13*i**3/15 - 12*i**2/5 + 15*i. Suppose r(j) = 0. What is j?
-4, -1, 6
Let v(l) be the third derivative of -1/8*l**4 - 6*l**2 - 1/3*l**3 - 1/60*l**5 + 0 + 0*l. Factor v(a).
-(a + 1)*(a + 2)
Let x(a) be the first derivative of 2*a**3/45 - 8*a**2/15 + 14*a/15 + 576. Factor x(d).
2*(d - 7)*(d - 1)/15
Let l(w) be the second derivative of w**5/4 - 25*w**4/3 + 265*w**3/6 - 85*w**2 + 223*w. Factor l(a).
5*(a - 17)*(a - 2)*(a - 1)
Suppose 0 = 9*t - 1621 - 305. Let w = -419/2 + t. Factor -3*k**2 - w*k**3 + 9/2*k + 3.
-3*(k - 1)*(k + 1)*(3*k + 2)/2
Factor -4214/3*x - 178/3*x**2 - 2/3*x**3 - 3698.
-2*(x + 3)*(x + 43)**2/3
Let j(p) be the first derivative of 1/10*p**5 + 0*p**2 - 4/3*p**3 - 36 + 8*p + 0*p**4. Factor j(f).
(f - 2)**2*(f + 2)**2/2
Let d(w) be the first derivative of 2*w**5/5 + w**4/3 - 18. Factor d(k).
2*k**3*(3*k + 2)/3
Let l(z) be the third derivative of -z**8/112 + z**7/30 + 3*z**6/40 - 7*z**5/60 - z**4/4 + z**2 - 8. Solve l(g) = 0.
-1, -2/3, 0, 1, 3
Suppose 3*u - 5 = 2*u. Suppose -14 = -u*s + 1. Factor 3*p**3 + 2*p**3 - 5*p**3 - s*p**3 + 3*p.
-3*p*(p - 1)*(p + 1)
Let d(p) be the second derivative of p**6/20 + 6*p**5/5 - 29*p. Factor d(l).
3*l**3*(l + 16)/2
Let u be 130/(-234)*(-18)/15. Factor 7/3*p + u - 49/3*p**2.
-(7*p - 2)*(7*p + 1)/3
Let y(l) be the first derivative of -10 - 1/3*l**6 + 0*l - 1/8*l**4 + 0*l**3 + 1/2*l**5 + 0*l**2. Factor y(h).
-h**3*(h - 1)*(4*h - 1)/2
Let x = -5967 + 29847/5. Factor 3/5*z**4 + 0*z + 0 - 12/5*z**3 + x*z**2.
3*z**2*(z - 2)**2/5
Let j(c) be the first derivative of c**4/2 - 16*c**3/3 + 7*c**2 + 444. Factor j(k).
2*k*(k - 7)*(k - 1)
Suppose 7*l = 4*l + 6. Let 2*x**3 - l + 9 + 3*x**2 - 8*x - 1 - 2 - x**4 = 0. What is x?
-2, 1, 2
Let j(w) be the second derivative of 2/5*w**2 + 0 - 11*w + 1/60*w**4 - 2/15*w**3. Factor j(y).
(y - 2)**2/5
Let z = -16679/120 + 139. Let m(w) be the third derivative of 0 + 0*w**3 + z*w**5 + 0*w**4 + 0*w - 4*w**2 + 1/240*w**6. Factor m(k).
k**2*(k + 1)/2
Suppose 0 = 22*r - 8 + 8. Let s(b) be the first derivative of -1/20*b**5 - 1/16*b**4 + 1/8*b**2 + 1/12*b**3 + r*b - 1. Factor s(q).
-q*(q - 1)*(q + 1)**2/4
Suppose 2*n = 2*g + 38, -6 + 32 = 2*n - 5*g. Factor 4*m**2 + n*m**4 - 3*m**3 + m**3 - 19*m**4 - 6*m**3.
4*m**2*(m - 1)**2
Let q(m) be the second derivative of -m**7/315 + m**6/75 - m**5/75 - 176*m. Let q(u) = 0. What is u?
0, 1, 2
Determine l so that 33*l**4 + 108 - 113*l**2 - 28*l**2 + 10*l**3 - 61*l**3 - 18*l**3 + 72*l - 3*l**5 = 0.
-1, 1, 6
Suppose 4*u - 6*u = -8. Suppose -8 = u*j - 8*j. 