h + 2)*(7*h - 2)/5
Find l, given that 1/7*l**3 - 185/7 + 33/7*l**2 - 153/7*l = 0.
-37, -1, 5
Let r(x) be the first derivative of x**6/14 - 6*x**5/35 - 12*x**4/7 + 2*x**3 + 27*x**2/2 + 108*x/7 + 5460. Suppose r(n) = 0. Calculate n.
-3, -1, 3, 4
Suppose 316/7 - 314/7*x - 2/7*x**2 = 0. What is x?
-158, 1
Let 2*z**3 + 264/13*z + 0 - 6/13*z**4 + 32*z**2 = 0. What is z?
-6, -2/3, 0, 11
Let u(l) = -12*l + 5. Let y be u(-6). Let f = y + -62. Find p such that 7*p**3 - 2*p**2 + 11*p - 2*p**3 + 7*p**4 - 3 - 2 - p**5 - f*p**3 = 0.
-1, 1, 5
Suppose 0 = j - 3*j + 10. Let w = -7176 + 7176. Factor -3*s**2 - 15/7*s**4 + w + 3/7*s**j + 6/7*s + 27/7*s**3.
3*s*(s - 2)*(s - 1)**3/7
Let j(p) be the first derivative of 28/3*p**3 - 1/2*p**4 - 26 + 12*p - 4/5*p**5 + 19*p**2. Let j(i) = 0. What is i?
-2, -1, -1/2, 3
Suppose 97*v - 253*v + 45240 = 0. Suppose 9 = -0*l + l. Factor 3*o**3 + 6*o - v*o**2 + l*o + 272*o**2.
3*o*(o - 5)*(o - 1)
What is j in -14/3*j**2 - 182/9 - 2/9*j**3 - 74/3*j = 0?
-13, -7, -1
Let w(n) be the first derivative of 2/3*n**3 + 2*n**2 + 0*n + 7. Suppose w(t) = 0. What is t?
-2, 0
Let j = 46641 + -46639. Factor -81/2*z - 87/2*z**j + 3.
-3*(z + 1)*(29*z - 2)/2
Let c(d) be the first derivative of -d**5/40 - 5*d**4/16 + 89*d**3/6 + 1965*d**2/8 - 4275*d/8 - 4971. What is g in c(g) = 0?
-15, 1, 19
Let k(m) = 322*m - 28. Let c be k(1). Let o be 104/273*c/18. Factor -16/9*p**4 - 16/9 - 50/9*p**3 - o*p - 76/9*p**2 - 2/9*p**5.
-2*(p + 1)**2*(p + 2)**3/9
Let a(c) = -4*c**3 + 7*c**2 + 272*c - 275. Let k be a(1). Suppose -8/9*b**4 + 0*b**2 + 2/3*b**3 + 0*b + k + 2/9*b**5 = 0. What is b?
0, 1, 3
Let i(j) be the first derivative of j**8/1680 - j**7/168 + j**6/45 - j**5/30 - 45*j**3 - 220. Let h(a) be the third derivative of i(a). Factor h(c).
c*(c - 2)**2*(c - 1)
Let w(g) = -15*g**2 - 11849*g + 2630. Let n(x) = -46*x**2 - 35550*x + 7892. Let t(p) = 3*n(p) - 8*w(p). Determine c so that t(c) = 0.
-659, 2/9
Let p(c) = 6*c**2 - 745*c + 91. Let v(a) = 3*a**2 - 441*a + 45. Let k(g) = 3*p(g) - 5*v(g). Factor k(w).
3*(w - 8)*(w - 2)
Let s(k) be the third derivative of k**5/50 - 29*k**4/30 - 7*k**3 + 371*k**2 + 2*k + 2. What is c in s(c) = 0?
-5/3, 21
Let g = -4521 + 4523. Let f be 2/12 + (-4)/24. Solve 1/6*n**g - 2/3 + f*n = 0 for n.
-2, 2
Let j(o) be the third derivative of o**6/120 - 3*o**5/20 - 11*o**4/4 - 28*o**3/3 - 119*o**2 + 8. Solve j(v) = 0.
-4, -1, 14
Let f = -749370 + 749372. Find o such that 8/7*o + 0 - 2/7*o**3 + 0*o**f = 0.
-2, 0, 2
Let h(l) be the first derivative of l**5 - 95*l**3/3 - 75*l**2 + 3494. Determine d, given that h(d) = 0.
-3, -2, 0, 5
Let x(w) be the third derivative of -w**7/15120 + w**6/4320 + w**5/60 - 13*w**4/12 - 46*w**2. Let m(n) be the second derivative of x(n). Factor m(r).
-(r - 4)*(r + 3)/6
Let v(t) be the second derivative of 23*t**4/20 + 29*t**3/10 - 51*t**2/5 + 3420*t. Factor v(m).
3*(m + 2)*(23*m - 17)/5
Let g(b) be the first derivative of b**6/13 + 194*b**5/65 + 541*b**4/13 + 9148*b**3/39 + 4675*b**2/13 + 2178*b/13 + 1345. Find v such that g(v) = 0.
-11, -9, -1, -1/3
Let o(b) = 19*b - 154. Let y be o(50). Let p = 796 - y. Find m such that -22/7*m**4 + 0 + 4/7*m**3 + 0*m**2 + p*m = 0.
0, 2/11
Let h(r) be the third derivative of -r**5/210 - 5*r**4/42 + 8*r**3/7 + 3734*r**2. Determine l so that h(l) = 0.
-12, 2
Let -409/2*o + 1/2*o**2 - 205 = 0. Calculate o.
-1, 410
Let d(t) = -t**2 + 10*t - 3. Let q be d(6). Let y = q - 18. Factor y*l**3 - l**4 + 9*l**5 - l**3 - 10*l**5.
-l**3*(l - 1)*(l + 2)
Let c(y) be the first derivative of -y**6/120 + y**5/80 - 70*y - 7. Let g(n) be the first derivative of c(n). Let g(v) = 0. What is v?
0, 1
Let t = 249 - 330. Let l = 417/5 + t. Factor 3/5*w**2 + 9/5*w - l.
3*(w - 1)*(w + 4)/5
Let p be (62 - 1224/34) + -23. Factor 4/3*g**p - 32/3*g - 16 + 20/3*g**2.
4*(g - 2)*(g + 1)*(g + 6)/3
Find q such that -720 + 225/4*q**5 + 11064*q + 15286*q**3 - 44489*q**2 - 6585/4*q**4 = 0.
2/15, 5, 12
Let q(g) = g**3 + 8*g**2 - 4*g - 2. Suppose 11 - 35 = 4*h. Let f(t) = t**2 + 1 - 102*t + 66*t + 36*t. Let m(y) = h*f(y) + q(y). Factor m(d).
(d - 2)*(d + 2)**2
Let b(w) = 1013*w - 966 + 26955 + w**2 + 9*w**2. Let q(c) = 5*c**2 + 507*c + 12996. Let a(f) = 3*b(f) - 7*q(f). Factor a(s).
-5*(s + 51)**2
Let c(n) be the third derivative of n**8/2016 + n**7/140 + n**6/90 + 1556*n**2. Solve c(y) = 0 for y.
-8, -1, 0
Suppose 32/3 + 1273*l**2 - 671/3*l - 100/3*l**4 - 3080/3*l**3 = 0. What is l?
-32, 1/10, 1
Let i(g) = 35 + 161*g**2 - 160*g**2 - 34. Let h(t) = -30. Let k(q) = -h(q) - 3*i(q). What is y in k(y) = 0?
-3, 3
Suppose -336 = 394*o - 402*o. Suppose 7*k + 28 - o = 0. Factor 24/7*j**3 + 0 - 18/7*j**k - 10/7*j**4 + 4/7*j.
-2*j*(j - 1)**2*(5*j - 2)/7
Let v(j) be the third derivative of -j**8/10080 + j**7/2520 + j**6/60 + 27*j**5/20 + 4*j**2. Let h(t) be the third derivative of v(t). Factor h(b).
-2*(b - 3)*(b + 2)
Suppose -154*y = -147*y. Let i(f) be the third derivative of -6*f**2 + 5/6*f**4 + 0 - 1/4*f**5 - 1/24*f**6 + y*f + 2/105*f**7 - 2/3*f**3. Solve i(t) = 0.
-2, 1/4, 1, 2
Let -70 + 37 - 8*z**3 - 63 - 2*z + 12*z**3 + 12*z**2 - 38*z = 0. What is z?
-4, -2, 3
Let v = 30 - -261. Let g = 293 - v. Suppose 4/3 + 8/3*z**g - 4*z = 0. What is z?
1/2, 1
Let w(q) be the second derivative of 0*q**6 - 2/3*q**3 + 0*q**4 + 0 + 2/5*q**5 + 0*q**2 - 12*q - 2/21*q**7. Suppose w(s) = 0. Calculate s.
-1, 0, 1
Let w(v) = 0*v**4 + 12*v**3 + 5 + 379*v**2 - 2*v**3 - 374*v**2 - 3*v**4. Let k(x) = 6*x**4 - 21*x**3 - 9*x**2 - 9. Let h(p) = 5*k(p) + 9*w(p). Factor h(y).
3*y**3*(y - 5)
Let w be 1*(1 + 10) + 104 + -105. Suppose -w*j**2 + 5*j**2 - 7*j - 5*j + 2*j**2 = 0. Calculate j.
-4, 0
Let h be 4 + (-70)/(-55)*(18 + (-1660)/80). Let p be 0 - ((-1)/2)/1. Factor -h*n**2 - 5/3*n - p.
-(n + 3)*(3*n + 1)/6
Suppose -12*h = -11*h - 126. Factor h*j**3 - 24 + 66*j**2 - 112*j**3 + 12*j + 52*j.
2*(j + 2)*(j + 3)*(7*j - 2)
Suppose 526*o - 112 = 534*o. Let m be ((-112)/6)/o + 7. Find a, given that -11/3*a**3 + 35/3*a**2 - m*a + 1/3*a**4 + 0 = 0.
0, 1, 5
Factor 1/6*i**4 + 5/6*i**3 + 0 - 11/3*i**2 + 8/3*i.
i*(i - 2)*(i - 1)*(i + 8)/6
Let y(p) be the first derivative of p**7/84 + p**6/15 + p**5/8 + p**4/12 - 134*p + 53. Let q(a) be the first derivative of y(a). Factor q(r).
r**2*(r + 1)**2*(r + 2)/2
What is d in -56/5 + 1/5*d**2 - 1/5*d = 0?
-7, 8
Suppose -45*b = -47*b - 10. Let d be (-3)/b + 10/(-25). Solve 1/5*u**3 + 1/5 - 1/5*u**2 - d*u = 0.
-1, 1
Suppose -235*o = -483 - 222. Let h(r) be the first derivative of 0*r**2 + 0*r - 17 - 1/15*r**6 - 4/15*r**o - 8/25*r**5 - 1/2*r**4. Let h(f) = 0. Calculate f.
-2, -1, 0
Let n(k) be the second derivative of -2*k - 31 + 0*k**3 + 2/3*k**2 - 1/12*k**4 - 1/60*k**5. Factor n(l).
-(l - 1)*(l + 2)**2/3
Let o be 1 + ((-7)/((-14)/8))/2. Factor -98*c + 58*c + 7*c**3 - 4*c**3 + 32 + 13*c**o - 12*c**2 + 4*c**4.
4*(c - 1)**2*(c + 2)*(c + 4)
Let f(g) be the third derivative of -g**8/1680 + 169*g**7/1050 - 6883*g**6/600 - 21673*g**5/300 - 2752*g**4/15 - 3698*g**3/15 + 68*g**2 - 9*g. Factor f(w).
-(w - 86)**2*(w + 1)**3/5
Let c be (-630136)/18980 - (-50 - 0). Find h such that -c - 2/5*h**2 + 46/5*h = 0.
2, 21
What is o in -1886*o**2 - 4384/3 - 643/3*o**3 - 13120/3*o + 5/3*o**4 = 0?
-4, -2/5, 137
Find z such that 7843 - z**2 + 183*z - 8136 - 477*z + 0*z**2 = 0.
-293, -1
Let m be (7 + -2 + 3)/(-55)*5975/(-478). Solve -m*x + 2 - 2/11*x**2 = 0 for x.
-11, 1
Suppose m = -4*q + 64, 4*m + 32 = 2*q + m. Suppose 4 + q = 5*h. Factor 13*a**4 + 4*a**2 - 11*a**4 + 2*a**h + 8*a**3.
4*a**2*(a + 1)**2
Let z(m) be the third derivative of 0*m**3 + 0*m**6 + 1 + 0*m - 2/105*m**5 + 2*m**2 + 1/42*m**4 - 1/588*m**8 + 4/735*m**7. Factor z(q).
-4*q*(q - 1)**3*(q + 1)/7
Let s(m) = -69*m - 132. Let n(i) = -i**2 - 137*i - 260. Let h(r) = 3*n(r) - 5*s(r). Factor h(j).
-3*(j + 2)*(j + 20)
Let b(h) be the first derivative of h**4/20 + 52*h**3/15 + 49*h**2/10 - 102*h/5 - 535. Let b(f) = 0. What is f?
-51, -2, 1
Let w be 4/3 - 15*(-16)/(-72) - -22. Let y(z) = -6*z + 2. Let p be y(-5). Suppose 42 + 4*o**2 - 25*o + 6*o**2 + 20*o**3 + 5*o**5 - w*o**4 - p = 0. Calculate o.
-1, 1, 2
Let n(j) be the third derivative of j**8/840 - 11*j**7/630 + j**6/45 + j**5/6 - 6*j**4 + 39*j**2. Let d(s) be the second derivative of n(s). Factor d(r).
4*(r - 5)*(r - 1)*(2*r + 1)
Let