 17*u - 14*u**3 + 4*u**2 + 4 - c*u = 0. What is u?
-2, -1, 1
Let u(h) be the second derivative of -h**4/42 + 32*h**3/21 - 256*h**2/7 + 114*h. What is j in u(j) = 0?
16
Let i be (152/(-24) - -7)*(-3)/(-30). Let a(v) be the first derivative of 1/10*v**2 - 2/5*v + 2 + i*v**3. Determine r so that a(r) = 0.
-2, 1
Let m be (23*(-3 + 0))/(2 + -3). What is c in 3*c**5 + 45*c**4 - 375 + m*c**3 + 163*c**3 - 10*c**3 - 225*c + 330*c**2 = 0?
-5, -1, 1
Let o = -21539 + 107699/5. Solve -2*y - o + 8/5*y**3 - 4/5*y**2 + 2/5*y**5 + 8/5*y**4 = 0 for y.
-2, -1, 1
Let v(u) be the second derivative of 0*u**3 - 4/15*u**5 + 3*u + 0 + 0*u**2 - 1/9*u**4. Factor v(a).
-4*a**2*(4*a + 1)/3
Let f be 34/2 + 249/(-15). Factor 0*t - 1/5*t**3 - f*t**4 + 2/5*t**2 + 0 + 1/5*t**5.
t**2*(t - 2)*(t - 1)*(t + 1)/5
Let f(i) = -i + 13. Let n(l) = -l + 21. Let t be n(11). Let y be f(t). What is a in 2*a - 8*a**3 + 8*a**5 - 6*a**3 + 4*a**y + 0*a + 6*a**4 - 6*a**2 = 0?
-1, 0, 1/4, 1
Let n(g) = -g. Let z(m) = 2*m**2 - 62*m + 578. Let j(o) = 6*n(o) + z(o). Factor j(d).
2*(d - 17)**2
Let k be ((-64)/(-40))/(8/10). Factor 0*q**4 - 1/3*q**5 + 2/3 - 2/3*q**k + 4/3*q**3 - q.
-(q - 1)**3*(q + 1)*(q + 2)/3
Let a(k) be the third derivative of k**8/560 - 8*k**7/525 + 7*k**6/200 + k**5/75 - k**4/10 - k**2 - 185*k. Suppose a(v) = 0. What is v?
-2/3, 0, 1, 2, 3
Factor 8*m**3 - 1963*m**4 - 76*m**2 - 1970*m**4 + 3937*m**4 - 80*m.
4*m*(m - 4)*(m + 1)*(m + 5)
Let g(r) be the third derivative of -5*r**4/24 + 9*r**3/2 + 70*r**2. Let a be g(5). Factor 5*d - 1/2*d**a - 25/2.
-(d - 5)**2/2
Suppose -6 = -l - z, 183*l + 3*z = 186*l. Let y(m) be the second derivative of -3/4*m**2 + 0 - 12*m - 1/8*m**l + 1/16*m**4. Factor y(v).
3*(v - 2)*(v + 1)/4
Suppose 0 = 5*q - h - 80, 3*h + 64 = q + 3*q. Factor o**2 + o**2 - q*o - 32 - 4*o**2.
-2*(o + 4)**2
Factor -m**2 - 7*m + 32*m - 332 + 332.
-m*(m - 25)
Let k(a) be the third derivative of -a**7/840 + a**6/120 + a**5/120 - a**4/8 - 3*a**3/8 + 419*a**2. Factor k(r).
-(r - 3)**2*(r + 1)**2/4
Let q(o) = -3*o**2 + 5*o. Let p be ((-3)/3 - 0) + 3. Let w(j) = j + 3*j**2 - j**2 - j**p. Let f(i) = q(i) - w(i). Factor f(k).
-4*k*(k - 1)
Let f(i) be the second derivative of i**4/4 + 16*i**3 + 384*i**2 - i - 4. Let f(o) = 0. Calculate o.
-16
Let n(b) be the third derivative of -b**6/60 + b**5/5 - 47*b**2 - 3*b. Solve n(c) = 0 for c.
0, 6
Suppose 13 = -3*z + 37. Let w(m) = -23*m**3 - 38*m**2 - 7*m. Let u(v) = 15*v**3 + 25*v**2 + 5*v. Let y(h) = z*u(h) + 5*w(h). Find a such that y(a) = 0.
-1, 0
Let v be (-3024)/1680*(-10)/6. Factor 3/8*g**4 - 3/4*g**v + 9/8 + 3/4*g - 3/2*g**2.
3*(g - 3)*(g - 1)*(g + 1)**2/8
Let k(r) be the second derivative of 3*r**5/20 + 11*r**4/4 - 6*r**3 + 23*r. What is f in k(f) = 0?
-12, 0, 1
Suppose -3*f + 4*n = -23, 8*n - 3*n + 10 = 0. Let p(i) be the first derivative of 3/2*i**2 - 5 - f*i**3 + 3*i**4 + 0*i. Factor p(r).
3*r*(r - 1)*(4*r - 1)
Let m = -4949/18 + 275. Let b(c) be the first derivative of 0*c**2 + 0*c + 4/27*c**3 + 2 - 2/45*c**5 + m*c**4. What is s in b(s) = 0?
-1, 0, 2
Let r(k) be the third derivative of k**7/1260 - 17*k**6/240 + 11*k**5/40 - 49*k**4/144 + 225*k**2. Factor r(a).
a*(a - 49)*(a - 1)**2/6
Let v(u) be the third derivative of -u**8/288 + u**7/42 - 43*u**6/720 + u**5/15 - u**4/36 - 55*u**2 + 2*u. Let v(i) = 0. What is i?
0, 2/7, 1, 2
Determine f so that -20306*f**2 + 2*f + 20311*f**2 + f = 0.
-3/5, 0
Let y = 371/176 - 25/16. Suppose 4/11 - y*f + 2/11*f**2 = 0. What is f?
1, 2
Let l be (1/(-6))/((33/(-54))/((-70)/(-105))). Find b such that 0*b - 2/11*b**4 - l*b**2 + 4/11*b**3 + 0 = 0.
0, 1
Let f(p) = -p**3 + 6*p**2 - 20*p. Let r(k) = -15*k**3 + 85*k**2 - 280*k. Let j(c) = -85*f(c) + 6*r(c). Factor j(t).
-5*t*(t - 2)*(t + 2)
Let a = -9051 + 45263/5. What is o in -a*o**3 - 24/5*o**2 - 4/5 - 18/5*o = 0?
-2, -1/2
Let b be ((-18896)/14)/(-1) + (-2)/(-7). Let 40*s**2 + 42*s**2 + 8*s**2 + 2*s**3 + 2835 + 3915 + b*s = 0. Calculate s.
-15
Factor 5/4*j + 1/4*j**2 + 0.
j*(j + 5)/4
Let a = -47/9 + 253/45. Determine b, given that -4/5 + 2*b**3 - a*b**2 - 2*b + 6/5*b**4 = 0.
-1, -2/3, 1
Suppose 0*x - 12 = -4*x. Factor -3*b**5 + 8*b**5 - 10*b**4 + 3*b**5 + 5*b**3 - x*b**5.
5*b**3*(b - 1)**2
Factor 0*l**2 - 7*l**3 + 8*l**2 + 12*l**4 - 11*l**3 + 3234*l**5 - 3236*l**5.
-2*l**2*(l - 4)*(l - 1)**2
Find t, given that -10*t**3 + 11*t**4 - 9*t**5 - 12*t**2 + 18*t**3 - 9*t**4 + 4*t**3 + 13*t**4 = 0.
-1, 0, 2/3, 2
Let f(z) be the second derivative of 5*z**6/6 - 19*z**5/2 + 245*z**4/12 - 10*z**3/3 - 30*z**2 + 8*z + 3. Determine b, given that f(b) = 0.
-2/5, 1, 6
Suppose -2*s = 10, -2*s - 2*s - 4 = 4*i. Factor 5*l**2 - i*l - 4*l**2 + 8 - 3*l**2 + 0 + l**3.
(l - 2)**2*(l + 2)
Factor 1005*m**2 + 289*m**4 + 254*m - 582*m**4 + 576*m**3 + 286*m**4 - 168.
-(m - 84)*(m + 1)**2*(7*m - 2)
Let r(c) be the third derivative of c**6/660 + c**5/66 - 2*c**4/33 - 4*c**3/11 + 18*c**2 - 7. Factor r(w).
2*(w - 2)*(w + 1)*(w + 6)/11
Suppose -160*q**3 - 30*q - 98*q**2 + 179*q**3 - 15*q**4 + 13*q**2 - 94*q**3 + 5*q**5 = 0. What is q?
-1, 0, 6
Factor -22*b**3 - 1192*b + 53*b**2 + 72*b**3 + 120 + 120 + 1407*b**2.
2*(b + 30)*(5*b - 2)**2
Let p be 11/20 + 1*217/(-28) + 8. Factor -18/5*n - p*n**2 - 8/5.
-2*(n + 4)*(2*n + 1)/5
Determine m, given that -2/3*m**2 - 716/3*m - 64082/3 = 0.
-179
Suppose 3*f = f - 17*f + 76. Factor -24/7 + 20/7*m**3 + f*m + 72/7*m**2.
4*(m + 1)*(m + 3)*(5*m - 2)/7
Let l = -104 + 106. Solve l*o**5 + 0*o**2 - 4*o**2 - 2*o**4 + 2*o**4 + 4*o**4 - 2*o = 0 for o.
-1, 0, 1
Let h(i) be the first derivative of i**3/9 + 4*i**2/3 + 4*i + 137. Solve h(b) = 0.
-6, -2
Find y, given that 2/15*y**2 - 8/15*y - 64/15 = 0.
-4, 8
What is x in -3*x**2 + 153*x - 543 + 961 - 568 = 0?
1, 50
Let l(h) be the first derivative of h**6/30 - h**4/6 + h**2/2 + 6*h + 6. Let z(a) be the first derivative of l(a). What is p in z(p) = 0?
-1, 1
Suppose -3*g + 48 = 30. Let j be 5*g*8/18. Let 8/3*n - j*n**3 + 22/3*n**2 - 8/3 - 4/3*n**5 + 22/3*n**4 = 0. Calculate n.
-1/2, 1, 2
Let d(g) be the third derivative of 2/105*g**7 + 2/15*g**6 + 0*g**3 + 20*g**2 + 0*g**4 + 1/5*g**5 + 0 + 0*g. Factor d(w).
4*w**2*(w + 1)*(w + 3)
Suppose -5 = -15*u + 25. Let z(r) be the first derivative of -3/10*r**5 + 3/8*r**4 + 0*r + 1/2*r**3 - 3/4*r**u - 3. Find l such that z(l) = 0.
-1, 0, 1
Suppose -5*f = -2*f - 45. Let h**2 + 21 - 6 - f + 3*h = 0. What is h?
-3, 0
Let a(j) = -5*j**2 + 7*j. Let l(u) = -5*u**2 + 6*u**2 - u + 0*u**2. Suppose -3*w - w + 10 = d, 3*d - 3*w = -30. Let o(c) = d*l(c) - a(c). Factor o(g).
-g*(g + 1)
Let s(o) be the second derivative of -2/27*o**4 + 4*o + 0 - 2/9*o**2 - 5/27*o**3 - 1/90*o**5. Factor s(t).
-2*(t + 1)**2*(t + 2)/9
Let b = -43 - 22. Let j be ((-4)/5)/(26/b). What is s in -2/9*s**3 + 2/3 + 10/9*s + 2/9*s**j = 0?
-1, 3
Let m(f) = -2*f**2 - 3*f - 1. Let t(h) = -2*h + 0*h + 3*h + h**2. Let n = -384 + 383. Let r(i) = n*m(i) - 3*t(i). Factor r(u).
-(u - 1)*(u + 1)
Let x(u) be the third derivative of u**4/6 - 14*u**3/3 - 17*u**2. Let s be x(7). What is j in 0 - 1/2*j**3 - 1/2*j**5 + s*j + 0*j**2 - j**4 = 0?
-1, 0
Let i(l) = -l. Let f be i(8). Let u(v) = -v - 6. Let j be u(f). Suppose 11*g**j - 6*g**2 - 2*g - 3*g**2 = 0. What is g?
0, 1
Let i be (6 + -6)*3/9. Suppose i = -7*m + m + 30. Factor -1/4*l + 1/4 - 1/2*l**2 + 1/2*l**3 - 1/4*l**m + 1/4*l**4.
-(l - 1)**3*(l + 1)**2/4
Let m(d) be the third derivative of d**5/240 - 209*d**4/48 + 43681*d**3/24 + 575*d**2. Factor m(z).
(z - 209)**2/4
Let c be (-2)/(-176)*-526 - (1 - 4). Let s = -30/11 - c. Find d, given that 0 + 0*d**2 + 1/4*d**3 - s*d = 0.
-1, 0, 1
Let l(c) be the second derivative of -c**5/35 - 13*c**4/21 + 4*c**3/3 + 294*c. Factor l(u).
-4*u*(u - 1)*(u + 14)/7
Suppose 0 = 4*k - 12 + 4. Suppose 4*f - 7 = -j, f - 4*f - 4*j = -2. Find z such that -4 + 3*z**2 + 12*z + f*z**k + 8 = 0.
-2, -2/5
Let j = -21127/4 + 5282. Suppose -1/2*s**5 + 0*s + j*s**4 + 1/2*s**2 + 0 + 5/4*s**3 = 0. What is s?
-1, -1/2, 0, 2
Suppose 1 = -o + 2*a - 2, 2*a = 6. Let k be (-18)/12 + ((-49)/(-14))/1. Factor 39/4*l + 105/4*l**k + 3/4 - 147/4*l**o.
-3*(l - 1)*(7*l + 1)**2/4
Let a(p) = -5*p - 188. Let c be a(-38). Let l(u) be the third derivative of 1/168*u**4 + 0 - 1/420*u**5 + 0*u + 3*u**c + 0*u**3. Factor l(b).
-b*(b - 1)/7
Let z(a) be the third derivative of -a**8/5