t(h) = 0. What is h?
-4, 0, 1/2
Let o be 3/10 + (-1484)/8480. Solve o*v**2 + 0 + 1/8*v = 0 for v.
-1, 0
Let r(u) = u**2 - 3*u + 4. Let s be r(3). Factor 0*v**2 - s*v**3 - 2*v**2 + 6*v**4 - 8*v**4.
-2*v**2*(v + 1)**2
Suppose w + 3 = t - 21, 3*t - 5*w - 80 = 0. Let o be 37/4*t/5. Factor 9*g**2 - o*g**3 - 9*g**5 - 29*g**2 - 19*g**4 - 4*g - 16*g**4 + 5*g**4.
-g*(g + 1)**2*(3*g + 2)**2
Let g(v) be the second derivative of -v**5/50 - v**4/6 + 13*v**3/15 - 7*v**2/5 + 182*v. Factor g(a).
-2*(a - 1)**2*(a + 7)/5
Let p(h) be the second derivative of -h**8/6720 - h**7/1260 + h**6/720 + h**5/60 + 3*h**4/4 - 9*h. Let n(a) be the third derivative of p(a). Factor n(j).
-(j - 1)*(j + 1)*(j + 2)
Let s(m) = 144*m**4 + 96*m**3 - 350*m**2 + 100*m + 1. Let j(y) = -36*y**4 - 24*y**3 + 87*y**2 - 25*y. Let b(u) = -9*j(u) - 2*s(u). Let b(n) = 0. What is n?
-2, 1/6, 1
Find t, given that 2/3*t**3 - 2*t + 0 - 4/3*t**2 = 0.
-1, 0, 3
Let a be (-21)/28 - 30/(-8). Suppose -20 = -s - a*s. Factor 14*i**s - 3*i + 6*i**3 + 0*i**3 - 17*i**5.
-3*i*(i - 1)**2*(i + 1)**2
Let i(c) be the first derivative of 11 + c**4 - 4 + c**2 - 9*c**2. Factor i(g).
4*g*(g - 2)*(g + 2)
Let k(h) be the third derivative of h**5/180 + h**4/12 + 4*h**3/9 - h**2 - 372. Solve k(m) = 0.
-4, -2
Let t(a) = -a**2 + 2*a + 1. Let p(u) = 6*u**2 - 4*u - 31. Let w(q) = -3*p(q) - 21*t(q). Let w(b) = 0. What is b?
4, 6
Let u = 6 + -6. Suppose 2 = a - u. Determine y so that -13*y + 50 + 5*y**2 - 2 - 11*y - a*y**2 = 0.
4
Let c(n) be the first derivative of -n**6/30 + 5*n**4/12 - 2*n**2 - n - 16. Let u(g) be the first derivative of c(g). What is f in u(f) = 0?
-2, -1, 1, 2
Let w(g) be the second derivative of g**5/5 + 7*g**4/3 + 8*g**3/3 - 24*g**2 + 4*g. Factor w(u).
4*(u - 1)*(u + 2)*(u + 6)
Let n(u) be the third derivative of u**7/105 + 13*u**6/15 + 169*u**5/5 + 2197*u**4/3 + 28561*u**3/3 - 3*u**2 - 24*u. Let n(m) = 0. What is m?
-13
Let c be -1*(-27 + 13 - -9). Determine d, given that 0*d - 3/4*d**3 - 1/4*d**c + 0 + 1/4*d**2 + 3/4*d**4 = 0.
0, 1
Let l(f) = -20*f**2 + 7*f - 3*f - 9 + 9*f**3 + 12 - f**3. Let m(g) = -4*g**3 + 10*g**2 - 2*g - 2. Let w(x) = 2*l(x) + 5*m(x). Factor w(i).
-2*(i - 2)*(i - 1)*(2*i + 1)
Let y(d) be the third derivative of d**4/24 + 11*d**3/6 - 5*d**2. Let b be y(-8). Factor 4*l**2 - 2 - 22*l + 14*l**4 + 15*l**b + l**3 + 4*l**5 + 18*l.
2*(l + 1)**4*(2*l - 1)
Factor 0 - 4/15*v**2 - 2/15*v**4 - 2/5*v**3 + 0*v.
-2*v**2*(v + 1)*(v + 2)/15
Let m(x) = -8*x**2 + 18*x - 17. Let z(d) = d**2 - 2*d + 2. Let g(h) = 2*m(h) + 14*z(h). Suppose g(b) = 0. Calculate b.
1, 3
Suppose 16*y + 57 = 89. Factor -18/5*d**3 - 36/5*d + 3/5*d**4 + 12/5 + 39/5*d**y.
3*(d - 2)**2*(d - 1)**2/5
Let o = 62 - 179/3. Suppose a - 4*a + 6 = 0. Let u**a - 2 - o*u = 0. Calculate u.
-2/3, 3
Let z(g) = -g**2 + 1. Let x(o) = 2*o**3 - o**2 - 2*o + 1. Let a = 10 + -12. Let s(q) = a*z(q) + 2*x(q). Find k, given that s(k) = 0.
-1, 0, 1
Let k = -13 + -24. Let v = k - -41. Factor -2/7*l**2 - 2/7*l**v + 0 + 4/7*l**3 + 0*l.
-2*l**2*(l - 1)**2/7
Let i = 64 + -56. Let j(p) be the first derivative of 4/3*p**3 + 0*p**2 + i - 4*p. Factor j(m).
4*(m - 1)*(m + 1)
Let m(d) = d**2 - d + 1. Let s be (4 + (3 - 10))*8/(-6). Let r(j) = 2*j**2 + 4*j + 5. Let i(g) = s*r(g) - 4*m(g). Factor i(k).
4*(k + 1)*(k + 4)
Let w be ((-986)/34)/((-1076)/1067 + 1). Let x = w - 3415. Solve -332/9*p**3 - 424/9*p**2 - x*p - 32/9 - 28/3*p**4 = 0 for p.
-2, -1, -2/3, -2/7
Solve -5*o**2 + 89*o - 46*o + 18 - 38*o - 58 - 35*o = 0 for o.
-4, -2
Let b be 8/(-44) + 1165/55. Let r = b - 19. Factor 0 - 8/5*z**3 + 0*z + 4/5*z**r + 4/5*z**4.
4*z**2*(z - 1)**2/5
Suppose -2 = -4*d - 2*i, -36 = -4*d + 2*i - 14. Suppose 188 = 2*x + 182. Solve 3*w**5 - 6*w**4 + 6*w**2 - d*w**3 + x*w**3 - 3*w**3 = 0 for w.
-1, 0, 1, 2
Let b be 275/121 + (-27)/99. Factor -3/4*p**3 + 9/2*p**b - 27/4*p + 3.
-3*(p - 4)*(p - 1)**2/4
Let a(i) be the third derivative of 0 - 1/32*i**6 + 1/70*i**7 + 15*i**2 - 1/448*i**8 + 0*i**4 + 0*i + 0*i**3 + 1/40*i**5. Determine b, given that a(b) = 0.
0, 1, 2
Let j(v) be the first derivative of -11*v**3/4 - 9*v**2/2 - 3*v/4 + 47. Solve j(i) = 0.
-1, -1/11
Factor 0 + 4/7*w**2 - 2/7*w**3 + 6/7*w.
-2*w*(w - 3)*(w + 1)/7
Determine c so that 48/7 + 20/7*c - 2/7*c**2 = 0.
-2, 12
Let u = -23 - -31. Factor 76*v**2 + 28*v - 32*v**2 + 24*v + u.
4*(v + 1)*(11*v + 2)
Let g(i) be the third derivative of i**5/40 - 3*i**4/2 - 25*i**3/4 + 4*i**2 + 57*i. Factor g(m).
3*(m - 25)*(m + 1)/2
Let y(z) be the second derivative of 9/40*z**5 - 7/8*z**3 + 9/8*z**2 + 0 - 32*z + 1/56*z**7 - 1/8*z**6 + 1/8*z**4. What is l in y(l) = 0?
-1, 1, 3
Let 0*l**3 + 8*l + 7*l**3 + 13*l**4 + 32 - 9*l**4 + 0*l**3 - 15*l**3 - 36*l**2 = 0. Calculate l.
-2, -1, 1, 4
Let c(z) be the third derivative of -z**5/15 + 29*z**4/6 - 52*z**3 + 398*z**2. Factor c(l).
-4*(l - 26)*(l - 3)
Suppose -3*z = -2*i + 6, 0 + 3 = -4*z + i. Solve -4/5*l**2 + l**4 + z + 4/5*l**3 - 3/5*l**5 + 0*l = 0 for l.
-1, 0, 2/3, 2
Let w(u) be the second derivative of u**4/24 - 7*u**3/12 + 2*u + 17. Factor w(o).
o*(o - 7)/2
Suppose -o + 3 = 0, 5*g + 25*o - 27*o - 4 = 0. Let h(q) be the first derivative of -1/12*q**3 - 1/16*q**4 + 10 + 0*q**g + 0*q. Factor h(n).
-n**2*(n + 1)/4
Let p(q) be the third derivative of -q**5/15 - 16*q**4/3 + 22*q**3 + 9*q**2 - 12*q. Factor p(h).
-4*(h - 1)*(h + 33)
Let u(y) be the first derivative of -y**5/140 + y**4/84 + y**3/42 - y**2/14 + 3*y - 3. Let w(c) be the first derivative of u(c). Suppose w(a) = 0. What is a?
-1, 1
Let h(q) = -q**3 + 4*q**2 + 6*q - 2. Let r be h(5). Let -7*b**4 + 5*b**2 - 7*b**3 + 8*b - 15*b**r + 67*b**4 + 50*b**5 - 29*b**2 = 0. Calculate b.
-1, 0, 2/5
Let l = -2437/9 + 271. Let q(d) be the first derivative of 1 + 0*d + 1/3*d**2 - l*d**3. Find o such that q(o) = 0.
0, 1
Suppose 4*l - 15 = 1. Let v(o) be the first derivative of -l + 1/9*o**3 + 0*o - 1/12*o**4 + 0*o**2. Factor v(c).
-c**2*(c - 1)/3
Let h = 0 + 7. Let r be 18*(-3 + h/2). Factor -r - 2*m**5 - 2*m + 9 + 4*m**3.
-2*m*(m - 1)**2*(m + 1)**2
Let l(p) be the first derivative of 7*p**5/15 - 4*p**4/3 + 54. Factor l(t).
t**3*(7*t - 16)/3
Let t(o) = -2*o**2 + 9*o - 2. Let h be t(4). Let d be 1/h*1/(3/3). Find z such that d*z**4 - z**3 + 0*z + 0 + 1/2*z**2 = 0.
0, 1
Let a(v) be the second derivative of v**5/20 - v**4 - 9*v**3/2 - 7*v**2 - v - 12. Factor a(h).
(h - 14)*(h + 1)**2
Solve -52/7 - 2/7*o**3 + 30/7*o + 24/7*o**2 = 0 for o.
-2, 1, 13
Let g(q) = 2*q**2 + 5*q - 5. Let z be g(1). Let j be (5/(-5))/((-1)/8). Factor m**3 - 3*m - z*m**2 + j*m**2 - 4*m**2.
m*(m - 1)*(m + 3)
Let z(i) be the third derivative of i**7/840 + 13*i**6/480 - 7*i**5/120 + i**2 - 89. Solve z(k) = 0.
-14, 0, 1
Let s be 0/4 + 2 + 3. Let k be 17/s - (-4)/(-10). Suppose -92*i**3 - k*i + 2*i**4 - 30*i**4 - 80*i**2 - 13*i = 0. Calculate i.
-2, -1, -2/7, 0
Let h(s) be the second derivative of -5*s**4/12 - 85*s**3/6 + 150*s**2 - 114*s. Factor h(b).
-5*(b - 3)*(b + 20)
Let m be 936/(-720)*(-16)/26. Factor 38/5*p - 18/5 - m*p**2.
-2*(p - 9)*(2*p - 1)/5
Let -16/7*q**2 + 4/7*q**4 + 0 + 8/7*q**3 - 2/7*q**5 + 0*q = 0. What is q?
-2, 0, 2
Let k(m) be the third derivative of 0 + 0*m - 11*m**2 - 1/12*m**5 - 5/6*m**3 - 5/12*m**4. Factor k(p).
-5*(p + 1)**2
Find y such that -134/3*y**3 + 322/3*y**2 - 2/3*y**5 - 34/3*y**4 - 2744/3 + 1568/3*y = 0.
-7, 2
Let p(d) be the second derivative of -2/21*d**7 + 0 + 44*d + 4/5*d**5 - 4/3*d**4 + 0*d**3 + 0*d**2 + 2/15*d**6. Solve p(w) = 0 for w.
-2, 0, 1, 2
Let u(j) be the first derivative of 2*j**5/5 + j**4/2 - 2*j**3 - j**2 + 4*j + 247. Factor u(c).
2*(c - 1)**2*(c + 1)*(c + 2)
Factor -74*q**3 - 544/3*q**2 - 289/3*q + 0 - 1/3*q**5 + 32/3*q**4.
-q*(q - 17)**2*(q + 1)**2/3
Let x(a) be the first derivative of -a**3 - 45*a**2/2 + 48*a - 177. Let x(u) = 0. What is u?
-16, 1
Let i(m) be the first derivative of 1/7*m**3 - 9/14*m**2 + 20 + 0*m. Find a such that i(a) = 0.
0, 3
Let w be 278/45 - 26/(-117) - 6. Factor 8/5 + w*u**2 + 8/5*u.
2*(u + 2)**2/5
Let y(a) be the first derivative of 3*a**4/16 + 2*a**3 - 57*a**2/8 + 15*a/2 - 81. Factor y(u).
3*(u - 1)**2*(u + 10)/4
Let b be -8 + 1/3*(-3 - (-39 + 3)). Determine s, given that 5/4*s**2 - 5/4 + 5/4*s - 5/4*s**b = 0.
-1, 1
Let y(r) = -r**2 - 5*r + 1. Let o(c) = 2 + 0*c - 1 - 7*c + 2*c. Let v(i) = 5*o(i) - 4*y