r**3 + 0 = 0.
-1, 0
Let l be 8/(-2*(3 - 4)). Solve -122 - 4*p**3 + 16*p**l + 122 = 0 for p.
0, 1/4
Let o be (-116)/(-50) - 8*2/8. Let r = o - -22/25. Factor 0*h - r*h**4 + 8/5*h**2 + 0 + 0*h**3 + 2/5*h**5.
2*h**2*(h - 2)**2*(h + 1)/5
Suppose q - 4*r - 2 = 6, 103 = 5*q + r. Let b = q - 18. Let 2/7 - 3/7*x - 3/7*x**b + 2/7*x**3 = 0. Calculate x.
-1, 1/2, 2
Suppose 106*r - 13*r**4 - 68*r**2 + 12 + r**4 + 24 - 18*r**3 + 3*r**5 + 116*r**2 - 19*r = 0. Calculate r.
-1, 3, 4
Let g = 10729/180 - 536/9. Let j(b) be the second derivative of 0 - 1/6*b**3 + b + b**2 + g*b**5 - 1/6*b**4. Find f, given that j(f) = 0.
-1, 1, 2
Suppose -4*g = -4*u - 12, 4*g - u + 4*u - 19 = 0. Determine t, given that t**4 - 5*t**g - 2*t**2 + 4*t**4 + 2*t**4 + 2*t**5 - 2*t**3 = 0.
-1, 0, 1
Solve 1/3*t**2 - 3 + 0*t = 0.
-3, 3
Let j = -835/39 - -92/13. Let v = j - -15. Suppose 4/3*r**2 - 2/3*r**3 - v*r + 0 = 0. What is r?
0, 1
Let c(m) be the second derivative of -5*m**7/42 + 2*m**6 - 21*m**5/4 - 245*m**4/6 + 54*m. Determine o, given that c(o) = 0.
-2, 0, 7
Let c(m) be the second derivative of m**7/126 + 13*m**6/90 + 9*m**5/10 + 23*m**4/9 + 28*m**3/9 - 5*m + 27. Factor c(n).
n*(n + 2)**3*(n + 7)/3
Suppose -14*y + 13*y - 30 = 0. Let d be (-9)/y + (14/(-4))/(-7). Factor d - u + 1/5*u**2.
(u - 4)*(u - 1)/5
Let u(f) be the second derivative of -f**9/18144 + f**8/10080 + 7*f**3/6 + 12*f. Let r(s) be the second derivative of u(s). Solve r(x) = 0.
0, 1
Suppose 80*m + 38*m - 585 = -113. Suppose -2/9*n**5 - 2/3*n**m + 2/3*n**2 + 0 + 0*n + 2/9*n**3 = 0. Calculate n.
-3, -1, 0, 1
Let d(w) be the second derivative of -w**4/8 + 133*w**3/2 - 53067*w**2/4 + 127*w - 3. Solve d(r) = 0.
133
Let z(k) be the first derivative of 5*k**4/4 - 5*k**3/3 + 16*k - 17. Let t(r) be the first derivative of z(r). Factor t(g).
5*g*(3*g - 2)
Let g = -205 - -193. Let q be 8/g - 76/(-51). Let -16/17*n + 2/17 + q*n**2 = 0. Calculate n.
1/7, 1
Determine n so that 1/4*n**2 + 0 - 1/8*n**3 + 3/8*n = 0.
-1, 0, 3
Let w be ((-18)/4)/(6/(-192)). Find x such that -3*x**2 + 0*x**2 - w - 48*x - x**2 = 0.
-6
Let v(s) be the second derivative of -s**5/90 - 8*s**4/27 - s - 22. Factor v(n).
-2*n**2*(n + 16)/9
Let h(d) be the second derivative of d**6/60 - d**5/12 - d**4/3 - d**3/6 + 5*d**2/12 - 9*d + 2. Factor h(p).
(p - 5)*(p + 1)**2*(3*p - 1)/6
Let g(v) be the first derivative of 4*v**5/35 + 13*v**4/14 - 16*v**3/21 - v**2 + 336. Solve g(u) = 0.
-7, -1/2, 0, 1
Let v = -77/4 - -79/4. Let z(x) be the second derivative of 5/3*x**3 - 4/15*x**6 + v*x**4 + x + 0 + x**2 - 1/2*x**5. What is y in z(y) = 0?
-1, -1/4, 1
Let w(j) = j**5 + 6*j**4 - 16*j**3 + 12*j**2. Let s(l) = -l**4 + l**3 + 3*l**2. Let o(q) = s(q) - w(q). Factor o(g).
-g**2*(g - 1)**2*(g + 9)
Suppose -60*f + 64 = 51*f - 95*f. Factor -12/7*x**3 - 6/7*x + 16/7*x**2 + 0*x**f + 0 + 2/7*x**5.
2*x*(x - 1)**3*(x + 3)/7
Let v be 528/(-7480)*136/(-12). Let 6/5 + 1/5*k**3 + v*k**2 - 11/5*k = 0. Calculate k.
-6, 1
Let q(g) be the first derivative of g**5/12 - 25*g**4/24 + 10*g**3/3 + 23*g**2/2 + 18. Let o(i) be the second derivative of q(i). Let o(z) = 0. What is z?
1, 4
What is b in -56/11 - 54/11*b + 2/11*b**2 = 0?
-1, 28
Factor -28/3 + 10/3*q + 2/3*q**2.
2*(q - 2)*(q + 7)/3
Let x(c) be the third derivative of 11*c**2 + 0*c + 1/180*c**5 + 0 + 0*c**3 - 1/18*c**4. Factor x(m).
m*(m - 4)/3
Let r(m) = 10*m**2 + 6*m - 4. Let k(p) = -2*p + p - 36*p**2 + 35*p**2. Let f(l) = 6*k(l) + r(l). What is u in f(u) = 0?
-1, 1
Let t(g) = 116*g**2 + 8*g + 6. Let q be t(-3). Factor 1026 - 8*p**3 - 24*p**2 - 18*p - q.
-2*p*(2*p + 3)**2
Let u be (63/(-15))/((-3)/5). Let b(v) = 2*v - 7. Let i be b(6). Factor i*f**3 + 5 - 13 - 25*f**2 - u + 35*f.
5*(f - 3)*(f - 1)**2
Let y(d) be the second derivative of -1/20*d**4 + 1/150*d**5 + 2/15*d**3 + 7*d - 5/2*d**2 + 0. Let t(o) be the first derivative of y(o). Factor t(w).
2*(w - 2)*(w - 1)/5
Solve 26*k - 18 - 6 - 5*k**2 + 4*k**2 - 1 = 0.
1, 25
Let a = 31 + -28. Let f = 34 + 14. Determine m so that 96 + 6*m**4 + 24*m**a - m**5 - 7*m**5 - f*m**2 - 48*m + 5*m**5 = 0.
-2, 2
Let h(u) = u**2 - 90*u + 69. Let t(q) = 5*q**2 - 355*q + 275. Let x(d) = 15*h(d) - 4*t(d). Factor x(z).
-5*(z - 13)*(z - 1)
Solve -5/3*h**2 + 5/3 + 0*h = 0.
-1, 1
Let g(c) be the third derivative of c**8/840 - 9*c**6/100 + 9*c**5/25 + 47*c**2 - 8*c. Suppose g(z) = 0. What is z?
-6, 0, 3
Suppose 4*k + 56 = 4*i + 292, 4*k = 2*i + 246. Let s be 2/(-5) - k/(-10). Let 5 + s*y + 2*y**2 - 2 + y**2 = 0. Calculate y.
-1
Let t(b) = -5*b - 35. Let r be t(-7). Let v(m) be the third derivative of 0*m**3 + 1/120*m**6 + 1/24*m**4 + 0*m - 1/30*m**5 + 5*m**2 + r. Factor v(y).
y*(y - 1)**2
Let j be -1*3 + 504/160 + 0. Let a(h) be the second derivative of -1/4*h**4 + 0 + 0*h**2 + j*h**5 + 0*h**3 - 2*h. Find q, given that a(q) = 0.
0, 1
Let u be (47 + -43)/(6*3 + 2). Let 3/5*w - 1/5 - 3/5*w**2 + u*w**3 = 0. What is w?
1
Suppose v + 3 = 11. Let z = v + -3. Factor l**2 + l**3 + 0*l**3 + 3*l**4 - l**z - 4*l**3.
-l**2*(l - 1)**3
Let y(u) be the first derivative of -u**8/14280 + u**7/3570 - u**6/3060 - u**3/3 - 2. Let f(a) be the third derivative of y(a). Factor f(z).
-2*z**2*(z - 1)**2/17
Let z(q) be the third derivative of -25/144*q**4 - 4*q**2 + 0*q - 11/720*q**6 - 1/1260*q**7 + 3 - 7/72*q**5 + 0*q**3. What is w in z(w) = 0?
-5, -1, 0
Let t(d) be the third derivative of 20*d**2 + 1/21*d**4 - 1/420*d**6 + 0*d**5 + 0*d**3 + 0*d + 0. Find q, given that t(q) = 0.
-2, 0, 2
Let r be (-134)/(-280) + (-114)/21 + 5. Let k(u) be the third derivative of -u**2 + 0*u**4 + 0*u + 1/20*u**6 + 0 - r*u**5 + 0*u**3 - 1/70*u**7. Factor k(i).
-3*i**2*(i - 1)**2
Let k be (-105)/(-6)*(-180)/(-945). Let -2/3*o**4 + 0 - 8/3*o**3 - k*o**2 - 4/3*o = 0. What is o?
-2, -1, 0
Determine f so that 2/9*f**5 + 14/9*f**4 + 4*f**3 + 16/9*f + 40/9*f**2 + 0 = 0.
-2, -1, 0
Let y(d) = 2*d**3 - 13*d**2 - 10*d - 3. Let f(o) = -15*o**3 + 105*o**2 + 85*o + 25. Let l(n) = 3*f(n) + 25*y(n). Determine r, given that l(r) = 0.
0, 1
Let c be (8/(-10))/(((-24)/60)/1). Factor 2/7*a - 1/7*a**c - 1/7.
-(a - 1)**2/7
Let u(l) = -4*l**2 - 95*l - 3. Let x(a) = -a - 1. Let t(w) = u(w) - 3*x(w). Factor t(p).
-4*p*(p + 23)
Let z = 215/12 - 69/4. Determine h so that -1/6 - h**2 - 1/6*h**4 + 2/3*h**3 + z*h = 0.
1
Let h = -733/3 + 247. Let k be (-1)/(-4)*12/9. Factor 16/3*u**5 + 0*u**2 - h*u**4 + 0 + k*u**3 + 0*u.
u**3*(4*u - 1)**2/3
Let a be (-3 - -2)/(-10 + (-145)/(-15)). Solve 0*l**2 - 1/9*l**4 + 1/9 - 2/9*l + 2/9*l**a = 0.
-1, 1
Let s(x) be the first derivative of -x**2 + 2*x - 2. Let n(d) = d**4 + d**3 - d**2 + 8*d - 9. Let l(o) = -4*n(o) - 18*s(o). Suppose l(t) = 0. What is t?
-1, 0, 1
Let x(h) be the third derivative of -h**5/180 + 133*h**4/36 - 408*h**2. Factor x(l).
-l*(l - 266)/3
Let y(c) be the first derivative of 3*c**6/10 - 42*c**5/25 + 3*c**4 - 8*c**3/5 - 152. Factor y(k).
3*k**2*(k - 2)**2*(3*k - 2)/5
Let s be (-14)/(-8) + 6/24. Let h be (-3 + 11/s)/((-1)/(-2)). Let -14/11*q**2 + 4/11*q - 10/11*q**4 + 18/11*q**3 + 2/11*q**h + 0 = 0. What is q?
0, 1, 2
Factor -4/7*a**2 + 0*a - 10/7*a**4 + 0 - 2*a**3.
-2*a**2*(a + 1)*(5*a + 2)/7
Let g(t) = t**3 + 55*t**2 + 42*t - 6. Let k(b) = -2*b**3 - 111*b**2 - 83*b + 13. Let v(d) = 13*g(d) + 6*k(d). Factor v(n).
n*(n + 1)*(n + 48)
Let u(h) be the second derivative of h**7/2520 + h**6/60 + 3*h**5/10 + 5*h**4/6 - 13*h. Let j(o) be the third derivative of u(o). Solve j(n) = 0.
-6
Let m(b) be the first derivative of -3/2*b**4 - 9/2*b + 3/10*b**5 + 3*b**2 + b**3 + 2. Solve m(i) = 0 for i.
-1, 1, 3
Let k = -243 + 218. Let g be 10/k*(-1)/((-16)/(-10)). Factor 0*u + 0 + g*u**3 - 1/4*u**2.
u**2*(u - 1)/4
Let n(a) = a - 23. Let r(f) = -f + 11. Let s(u) = -3*n(u) - 5*r(u). Let v be s(-7). Determine m, given that 0 + v*m**2 - 2/5*m**3 + 2/5*m = 0.
-1, 0, 1
Let p be (-2182)/(-12) - 5/10. Let z = 182 - p. Factor -z*f**4 + 0*f**2 + 4/3*f + 2/3 - 4/3*f**3.
-2*(f - 1)*(f + 1)**3/3
Let h(c) = 30 - 15 - 2*c + 2*c + c. Let w be h(-12). Solve 10/3*i**2 - i**3 - w*i + 2/3 = 0 for i.
1/3, 1, 2
Let k be 34/(-136) + 2679/60. Let -48/5 + 129/5*o**3 - k*o**4 - 84/5*o + 9*o**5 + 36*o**2 = 0. What is o?
-2/3, -2/5, 1, 4
Let k(x) be the third derivative of x**8/1344 + x**7/504 - 5*x**6/144 + x**5/8 + 7*x**4/24 - 19*x**2. Let w(o) be the second derivative o