2 - 94*j + 175. Let a(t) = 0. Calculate t.
-47, -1, 1/4
Suppose 5*c - 4*g - 1820 = -290, -3*c - 5*g = -881. Solve 4*a**4 + c*a**2 - 294*a**2 - 22*a**3 + 10*a**3 = 0 for a.
0, 1, 2
Let u be (63/9)/637*(-123)/(-5). Let b = 1/65 + u. Suppose -b*d**3 + 12/7*d**4 - 2*d**2 + 2/7*d + 2/7 = 0. What is d?
-1, -1/3, 1/2, 1
Let p(m) be the third derivative of m**8/1680 - m**7/525 - m**6/200 + 2*m**5/75 - m**4/30 + 3*m**2 - 4*m. Factor p(q).
q*(q - 2)*(q - 1)**2*(q + 2)/5
Let k be -1 + -3 + 15/3. Suppose 1 + 13*d**2 - 16*d - 9*d**2 - k = 0. What is d?
0, 4
Suppose 0 = 2*k + k - 9. Determine l, given that -8*l**3 + 55*l**3 - 275*l - 520*l**2 - 35 + 33*l**k = 0.
-1/4, 7
Let y = -13/18 - -34/45. Let d(g) be the second derivative of -1/5*g**5 + 0*g**2 - 5/12*g**4 - y*g**6 - 1/3*g**3 + 0 - 7*g. Factor d(l).
-l*(l + 1)**2*(l + 2)
Let c(s) be the first derivative of s**4/4 + 14*s**3/3 + 2*s**2 + 56*s + 68. Let v be c(-14). Factor 8/5*j**3 + 4/5*j**4 + 0 + v*j**2 + 0*j.
4*j**3*(j + 2)/5
Let k(p) be the first derivative of p**6/720 - p**5/240 - p**4/24 + 10*p**3/3 - 12. Let i(h) be the third derivative of k(h). Find s such that i(s) = 0.
-1, 2
Suppose -6*t = -t - 20. Let k be 14/28 + 6/t. Suppose 4*c**5 - 70 - 16*c**4 + 70 - 4*c**2 - 16*c + 12*c**3 + 20*c**k = 0. What is c?
-1, 0, 1, 2
Suppose -3*w - 20 = -7*w. Suppose -w*g**5 - 14*g**2 - 5*g + 10*g**3 + 22*g**2 - 8*g**2 = 0. Calculate g.
-1, 0, 1
Let v = 33/7 - 144/35. Solve -363/5*o**2 + 66/5*o - v = 0 for o.
1/11
Let x = 399/8 - 1193/24. Let j(d) be the first derivative of -x*d**4 - 10/9*d**3 - 6 - 8/3*d**2 - 8/3*d. Factor j(l).
-2*(l + 1)*(l + 2)**2/3
Factor -10/11*p - 12/11 + 2/11*p**3 + 4/11*p**2.
2*(p - 2)*(p + 1)*(p + 3)/11
Let y(c) be the second derivative of -14/3*c**3 + 0 - 49*c**2 - 1/6*c**4 - 25*c. Solve y(o) = 0 for o.
-7
Let s be (48/72 - 20/21)*(2 + -12). Factor -s*w + 8/7*w**2 + 8/7.
4*(w - 2)*(2*w - 1)/7
Let c(t) = 7*t**3 + 15*t**2 - 16. Let v(o) = -6*o**3 - 14*o**2 - o + 16. Let r(z) = 5*c(z) + 6*v(z). Factor r(h).
-(h - 1)*(h + 2)*(h + 8)
Let j(l) be the first derivative of 19 + 2/3*l**3 + 0*l + l**2. Factor j(h).
2*h*(h + 1)
Let s(r) be the third derivative of 0*r + 0 - 1/3*r**4 - 4*r**2 + 4/3*r**3 - 1/30*r**5 + 1/60*r**6. What is m in s(m) = 0?
-2, 1, 2
Suppose -c - 110*c**3 + 4 + 112*c**3 + 11*c + 8*c**2 = 0. What is c?
-2, -1
Let k be ((-146)/2555)/(120/(-14)). Let z(r) be the third derivative of -k*r**5 + 0*r - 1/60*r**4 + 0*r**3 + 0 - 4*r**2. Factor z(i).
-2*i*(i + 1)/5
Let s be (23 + 27 + -70)*2*3/(-21). Factor -200/7 + s*i - 2/7*i**2.
-2*(i - 10)**2/7
Let y(i) be the first derivative of i**3/12 + 35*i**2/8 - 483. Factor y(u).
u*(u + 35)/4
Let b(d) be the second derivative of -1/60*d**5 - 9/2*d**2 - 1/24*d**4 + 0*d**3 + 0 - 4*d. Let n(y) be the first derivative of b(y). Factor n(r).
-r*(r + 1)
Let q(a) be the third derivative of -a**8/4032 + a**7/504 - a**5/12 + 33*a**2. Let b(z) be the third derivative of q(z). Find t, given that b(t) = 0.
0, 2
Suppose 19*f = 22*f - 6. Factor 0*k**3 + 4*k**f + 20*k + 4 - 4*k**3 + 3 + 5.
-4*(k - 3)*(k + 1)**2
Let o(z) = z**3 + 6*z**2 - 10*z - 9. Let y be o(-7). Let r be -1 - 7/((-28)/y). Let -6 + 4 + 4 + 2*l**r + 0 + 4*l = 0. What is l?
-1
Suppose -448 - 1579 - 1098 - 795 - 5*a**2 + 280*a = 0. Calculate a.
28
Let n(x) = -21*x - 61. Let l be n(-3). Let k be (-4)/18 + 292/18. Solve -3*t + 18*t**3 + 11*t - 8*t**2 - k*t**l = 0.
0, 2/3
Let m be 176/(-96) + (-91)/(-39). Factor -1/2*k - 1/4*k**4 + 0*k**2 + 1/4 + m*k**3.
-(k - 1)**3*(k + 1)/4
Let a(l) be the third derivative of 0*l + 0 + 1/6*l**6 + 0*l**3 + 0*l**4 - 1/15*l**5 - 6*l**2 + 23/210*l**7 + 1/56*l**8. Factor a(d).
d**2*(d + 2)**2*(6*d - 1)
Let m be (-5 - -7)*2*12. Suppose 0 = -c - 3*c + m. Factor 4*o**2 - c*o + 11*o**2 - 6*o**2 + 4.
(3*o - 2)**2
Let -3*v**2 - 1/4*v**4 - 13/4*v**3 + 0 + 0*v = 0. Calculate v.
-12, -1, 0
Let c(p) be the second derivative of -p**7/2520 + p**6/540 - p**5/360 + 3*p**3 - 23*p. Let x(s) be the second derivative of c(s). Factor x(b).
-b*(b - 1)**2/3
Let p(h) be the second derivative of -27*h**5/10 - h**4/2 + 56*h**3/9 - 16*h**2/3 - 22*h + 4. Suppose p(w) = 0. Calculate w.
-1, 4/9
Let h be -182 + 162 - 328/(-16). Suppose i - 5*i = 0. Suppose 0*y**2 + h*y + i - 1/2*y**3 = 0. What is y?
-1, 0, 1
Suppose 2*j - 2 = 8*b - 10*b, -j = -b + 5. Factor -9/4*p**2 + 3/4*p**b + 9/4*p - 3/4.
3*(p - 1)**3/4
Factor -180*v - 288 - 13/3*v**3 - 42*v**2 - 1/6*v**4.
-(v + 6)**3*(v + 8)/6
Let z(t) be the third derivative of -16/21*t**3 + 0 + 0*t - 1/210*t**6 - 2/21*t**5 + 12*t**2 - 17/42*t**4. Factor z(k).
-4*(k + 1)**2*(k + 8)/7
Let s(n) be the first derivative of 8*n - 2/3*n**3 + 28 + 0*n**2. Suppose s(t) = 0. Calculate t.
-2, 2
Let y(c) be the second derivative of -2*c + 1/6*c**4 - 1/10*c**5 + 1/3*c**3 + 0 - c**2. Factor y(l).
-2*(l - 1)**2*(l + 1)
Let a be (1 - (-9)/(-4))/(18/(-288)). Factor -5*p**2 - 5073*p + a + 5073*p.
-5*(p - 2)*(p + 2)
Let s(q) be the third derivative of q**8/5880 + q**7/2940 - q**6/1260 - q**5/420 - 2*q**3/3 - 7*q**2. Let p(a) be the first derivative of s(a). Factor p(y).
2*y*(y - 1)*(y + 1)**2/7
Let o be 44/28 + -2 - (-225)/35. Suppose 4*d - 2*r = -4, 3*d + 7*r - o = 4*r. Suppose -4/13*i**3 + 0*i + 6/13*i**5 + 0 + d*i**2 - 2/13*i**4 = 0. Calculate i.
-2/3, 0, 1
Let g(f) be the second derivative of f**6/90 - 2*f**5/15 + 7*f**4/12 - f**3 - f + 3. Find z such that g(z) = 0.
0, 2, 3
Let i(g) = -g**2 - 349*g + 7401. Let n(q) = 174*q - 3700. Let c(j) = 4*i(j) + 10*n(j). Factor c(d).
-4*(d - 43)**2
Let j(m) = -5*m - 4. Let d be j(-6). Let b be 4/d + 606/117. Determine l, given that b*l**2 + 2*l**3 + 4/3 + 14/3*l = 0.
-1, -2/3
Let v(p) be the third derivative of 5*p**8/336 + 5*p**7/42 - p**6/24 - 5*p**5/12 - 117*p**2. Let v(g) = 0. What is g?
-5, -1, 0, 1
Let d(b) be the first derivative of 2/9*b**2 + 6 + 0*b - 2/27*b**3 - 1/18*b**4. Suppose d(a) = 0. Calculate a.
-2, 0, 1
Let j(s) be the third derivative of 0 + 1/15*s**6 + 25*s**2 + 0*s**4 + 0*s**3 - 1/15*s**5 + 0*s - 2/105*s**7. Factor j(n).
-4*n**2*(n - 1)**2
Let u(h) = -4*h**3 + 2*h**2 - 3*h - 3. Let z(x) = 4*x**3 - 3*x**2 + 4*x + 4. Let r be 10/(15/3) + 2. Let l(g) = r*u(g) + 3*z(g). Factor l(a).
-a**2*(4*a + 1)
Let b(k) be the third derivative of k**6/30 - k**5/3 - 16*k**4/3 - 24*k**3 - 3*k**2 - 4*k. Factor b(n).
4*(n - 9)*(n + 2)**2
Let y = 93 + -53. Let o be (2/9)/((y/15)/8). Factor -1/3*t**2 - o - t.
-(t + 1)*(t + 2)/3
Let m(b) be the third derivative of -2/75*b**6 + 3*b**2 + 0 + 0*b - 1/840*b**8 + 1/105*b**7 + 2/75*b**5 + 0*b**3 + 0*b**4. Factor m(y).
-2*y**2*(y - 2)**2*(y - 1)/5
Let w(l) = -l**2 + 9*l - 5. Let p be w(4). Suppose -15*s**2 + 6*s - 1125*s**5 + p*s**4 + 1120*s**5 + 4*s - 5*s**3 = 0. What is s?
-1, 0, 1, 2
Let d(b) be the first derivative of b**6/3 - 52*b**5/5 + 84*b**4 + 52*b**3/3 - 169*b**2 + 838. Let d(u) = 0. What is u?
-1, 0, 1, 13
Let h = 1664/3 + -3313/6. Factor -1/2*t**5 - 2*t**4 + 0*t + 0 - h*t**3 - t**2.
-t**2*(t + 1)**2*(t + 2)/2
Let j = 155/2 + -232/3. Factor 1/2*v**2 - 1/2*v - j*v**3 + 1/6.
-(v - 1)**3/6
Let d(c) be the second derivative of 8*c**2 - 16/3*c**3 + 2/5*c**5 - 2/15*c**6 - 3*c + c**4 + 0. Determine k so that d(k) = 0.
-2, 1, 2
Suppose -7*f + 5*f = -4. Suppose 32*h + 15*h**2 - 8 - f - 5*h**3 - 27*h - 5*h**4 = 0. What is h?
-2, -1, 1
Factor 8/3 - 4/3*k**3 + 2/9*k**4 - 2/3*k**2 + 32/9*k.
2*(k - 6)*(k - 2)*(k + 1)**2/9
Suppose -8 = 4*z, 4*n + 4*z + 33 = 9*n. Let o(i) be the second derivative of 3/80*i**n + 0*i**2 + 1/8*i**3 - 1/8*i**4 + 0 + 9*i. Factor o(h).
3*h*(h - 1)**2/4
Let l(w) be the first derivative of -5*w**3 - 155*w**2/2 - 50*w + 83. Factor l(q).
-5*(q + 10)*(3*q + 1)
Let k(u) be the third derivative of u**6/280 - u**4/14 + 97*u**2. Determine r so that k(r) = 0.
-2, 0, 2
Let r(a) be the second derivative of a**7/231 - a**5/55 + a**3/33 + 2*a + 28. Suppose r(k) = 0. Calculate k.
-1, 0, 1
Let p = 142 + -708/5. Let y(h) = -9*h**2 - 31*h - 7. Let a be y(-3). What is t in 0*t**4 + 2/5*t**a + 0*t**2 + p*t + 0 - 4/5*t**3 = 0?
-1, 0, 1
Solve -p - 4/3 - 1/6*p**2 = 0 for p.
-4, -2
Let g(l) be the first derivative of 0*l**3 + 0*l**2 + 0*l - 1/16*l**6 - 3/16*l**4 - 9/40*l**5 - 13. Factor g(c).
-3*c**3*(c + 1)*(c + 2)/8
Find x such that 8*x - 92*x - 476*x + 68*x - 4 - 148*x - 25600*x**2