x.
5*(x + 5)*(3*x + 2)/3
Let d(a) be the third derivative of a**5/15 + 47*a**4/6 + 276*a**2. Solve d(s) = 0.
-47, 0
Let g(w) be the third derivative of w**6/80 - 13*w**5/20 - 27*w**4/16 - 26*w**2 - 6. Suppose g(v) = 0. What is v?
-1, 0, 27
Let g be -3*((-4)/6 + 2/(-6)). Find f such that 0*f - 3*f - 4*f**2 + 2*f**3 + 8*f - g*f = 0.
0, 1
Let m(b) be the first derivative of b**4/12 + 5*b**3/3 + 25*b**2/2 + 3*b - 7. Let r(n) be the first derivative of m(n). Factor r(d).
(d + 5)**2
Let t be (3/(-5))/(783/(-1740)). Factor -4/3 - t*h - 1/3*h**2.
-(h + 2)**2/3
Suppose -y = -5 + 3. Factor -2*o**4 + 5*o**2 - 4*o**y - 2*o + o**2 + 2*o**3 + 0*o**3.
-2*o*(o - 1)**2*(o + 1)
Factor 4/9*p + 0 + 22/9*p**2 + 10/9*p**3.
2*p*(p + 2)*(5*p + 1)/9
Let c(i) = i**3 + 2*i**2 - i - 5. Let t be c(4). Let j = t - 87. What is s in j - 1/5*s**2 + 0*s - 1/5*s**3 = 0?
-1, 0
Suppose -1 - 4/3*b - 1/3*b**2 = 0. What is b?
-3, -1
Let z be ((-16)/(-14))/(714/(-98) + 8). Let 16/5*r**3 + 0 + 4*r**2 + 4/5*r**4 + z*r = 0. Calculate r.
-2, -1, 0
Let n(v) be the second derivative of 0*v**4 + 1/5*v**5 + 0 - 14/3*v**3 + 3*v - 12*v**2. Determine s, given that n(s) = 0.
-2, -1, 3
Let p = -26/45 - -4/5. Let p*l**5 + 0 + 2/9*l + 0*l**2 + 0*l**4 - 4/9*l**3 = 0. What is l?
-1, 0, 1
Let u(s) be the first derivative of s**4/22 + 4*s**3/11 - 15*s**2/11 + 16*s/11 - 512. Factor u(k).
2*(k - 1)**2*(k + 8)/11
Let b(k) be the first derivative of 3*k**4/20 + 46*k**3/5 - 3*k**2/10 - 138*k/5 - 50. Factor b(y).
3*(y - 1)*(y + 1)*(y + 46)/5
Factor 9*i + 18*i**2 + 10/3*i**4 + 0 + 1/3*i**5 + 12*i**3.
i*(i + 1)*(i + 3)**3/3
Let u(o) be the third derivative of o**8/504 + 2*o**7/315 - o**6/60 - 2*o**5/45 + o**4/9 + 60*o**2. Factor u(t).
2*t*(t - 1)**2*(t + 2)**2/3
Let g = -11654 + 58272/5. Find q such that 24/5 + 14/5*q**2 - 32/5*q - g*q**3 = 0.
2, 3
Let v(w) be the third derivative of -11/30*w**5 + 3*w**3 + 0 + 0*w - 1/30*w**6 - w**2 - w**4. Solve v(f) = 0.
-3, 1/2
Let w(z) be the second derivative of z**6/20 - 4*z**5/15 - z**4/3 - 7*z**3/2 + 38*z. Let k(i) be the second derivative of w(i). Determine d so that k(d) = 0.
-2/9, 2
Let n(s) = 2*s**2 - 1. Let q(m) = -m**3 - 13*m**2 - 16*m - 9. Let o(b) = 3*n(b) + q(b). Suppose o(c) = 0. What is c?
-3, -2
Let r be -7 - (5/(-1) + 4). Let h be (-1 - r)/(4/4). Factor -4*j**3 + 6*j + 10*j - 5*j + h*j.
-4*j*(j - 2)*(j + 2)
Suppose 19*b + 4*b = 7*b. Let q(g) be the third derivative of -8/15*g**5 + b*g + 0 - 7*g**2 + 6*g**3 - 5/4*g**4 - 1/20*g**6. Suppose q(c) = 0. Calculate c.
-3, 2/3
Let h = -14 + 13. Let d(p) = -4*p**3 - 2*p**2 + 1. Let u be d(h). Solve 6 + u*l**3 + 4*l**2 + 15*l + 8*l**2 + 0*l**3 = 0.
-2, -1
Let k be (92/100 - 1) + 318/225. Determine s, given that -1/6*s**3 - k*s - 5/6*s**2 - 2/3 = 0.
-2, -1
What is q in 45/4 + 3/4*q**2 + 6*q = 0?
-5, -3
Factor 8/11*q + 4/11*q**3 - 14/11*q**2 + 0 + 2/11*q**4.
2*q*(q - 1)**2*(q + 4)/11
Suppose 51 = -3*o - 2*m + 141, -35 = -o + m. Suppose -4*b + 40 - o = 0. Factor 6/5*k**b + 0 - 2/5*k**3 - 4/5*k.
-2*k*(k - 2)*(k - 1)/5
Let q(f) be the first derivative of -f**6/15 - 8*f**5/25 + 4*f**3/3 + f**2/5 - 12*f/5 + 72. Determine x, given that q(x) = 0.
-3, -2, -1, 1
Find w such that -342*w**3 + 111*w + 86*w - 17*w + 150*w**2 + 40 + 377*w**3 = 0.
-2, -2/7
Suppose -15*r = 384 - 444. Let p be (-2 - (1 + 2))*-1. Factor 0 - 12/5*f**r + 0*f**2 - 9/5*f**p + 12/5*f**3 + 0*f.
-3*f**3*(f + 2)*(3*f - 2)/5
Determine b so that -4 - 1/3*b**2 + 8/3*b = 0.
2, 6
Let s(v) be the second derivative of v**4/12 - 98*v**3/3 + 4802*v**2 - 340*v + 2. Find n such that s(n) = 0.
98
Let n(h) be the first derivative of -h**3/12 + 13*h**2/4 - 69*h/4 - 34. Factor n(f).
-(f - 23)*(f - 3)/4
Let k(w) be the first derivative of 3/19*w**2 - 23 - 2/57*w**3 - 4/19*w. Let k(t) = 0. What is t?
1, 2
Let i(x) = -x**2 - 4*x + 4. Let d be i(-4). Suppose -12 = -d*m - f + 2*f, 8 = -2*f. Suppose 1/5*h**3 + 0 - 2/5*h**m + 1/5*h = 0. What is h?
0, 1
Let a(m) be the third derivative of -m**7/140 + 13*m**6/80 - 3*m**5/10 + m**2 - 797*m. Factor a(g).
-3*g**2*(g - 12)*(g - 1)/2
Let u(j) be the second derivative of -j**7/315 + 2*j**6/225 + 83*j**5/150 - 274*j**4/45 + 1168*j**3/45 - 704*j**2/15 - 2*j + 8. Let u(z) = 0. Calculate z.
-11, 1, 4
Factor 1/6*c**2 - 1/2*c + 1/3.
(c - 2)*(c - 1)/6
Let k(u) be the third derivative of -8*u**2 + 0*u + 0*u**6 + 1/210*u**7 + 0*u**5 + 0 + 0*u**4 + 0*u**3 + 5/672*u**8. Factor k(z).
z**4*(5*z + 2)/2
Let l be (6/15 - 0)*20/48. Let a(h) be the second derivative of -l*h**4 + 0*h**2 - 2/3*h**3 + h + 0. Factor a(b).
-2*b*(b + 2)
Let q(y) = -3*y**2 + 16*y - 5. Let p(f) = 15*f - 9 - 3*f**2 - 18 - 9 + 30. Let r(u) = 4*p(u) - 3*q(u). Factor r(x).
-3*(x - 3)*(x - 1)
Let c be 1/4 + (-30)/(-40). Let t(n) = n**3 - n. Let w(q) = -9*q**3 + 5*q**2 + 4*q. Let l(k) = c*w(k) + 4*t(k). Let l(u) = 0. What is u?
0, 1
Suppose 0 = t - 30 + 25. Let b(p) be the first derivative of 0*p - 1/3*p**3 + t - 1/4*p**4 + p**2. Factor b(a).
-a*(a - 1)*(a + 2)
Let i(p) be the second derivative of -p**4/90 + 2*p**3/45 + 114*p. Factor i(l).
-2*l*(l - 2)/15
Let k(c) = -4 + 9*c**2 + c**3 - 3*c**2 - c - 8*c**2. Let s be k(3). Factor 18*y + 2/3*y**3 + 18 + 6*y**s.
2*(y + 3)**3/3
Let g = 7085/9 - 787. Let h(u) be the first derivative of -2/3*u**2 + 6 + 0*u - g*u**3 + 1/6*u**4. Factor h(k).
2*k*(k - 2)*(k + 1)/3
Let n(t) be the third derivative of -1/240*t**5 - 12*t**2 + 0 + 0*t - 1/32*t**4 + 0*t**3. Factor n(f).
-f*(f + 3)/4
Let v(g) = 17*g**3 - 272*g**2 + 756*g + 317. Let p(q) = -6*q**3 + 91*q**2 - 252*q - 106. Let y(m) = 21*p(m) + 6*v(m). Suppose y(j) = 0. What is j?
-3/8, 6
Let y be (0 - 1)/(2/(-212)*2). Find j such that 4*j**4 + 8*j**3 - 53*j + 4*j**2 + y*j = 0.
-1, 0
Let n(k) be the third derivative of 2*k**7/315 - k**6/45 - 4*k**5/45 + k**4/9 + 2*k**3/3 + 255*k**2. Determine q so that n(q) = 0.
-1, 1, 3
Suppose i + 4*b - 3 + 0 = 0, -5*i + 4*b = -15. Let v be 7/(-42)*(-7 - (i + -2)). Factor v*j**2 + 2/3*j + 0 + 2/3*j**3.
2*j*(j + 1)**2/3
Determine a so that -506*a + 251*a + 6*a**2 - 4*a**3 - 2*a**4 + 255*a = 0.
-3, 0, 1
Let m be -8 + 8 + -2 + 5. Factor -2*r**3 - 8*r**2 + 0*r**2 + m*r**2 + 4 + 2*r + r**2.
-2*(r - 1)*(r + 1)*(r + 2)
Let t(w) = 3*w**2 - 2*w**2 + 0*w**2. Let k(c) be the first derivative of 4*c**3/3 + c**2/2 + 2*c - 28. Let d(h) = -k(h) + 5*t(h). Factor d(j).
(j - 2)*(j + 1)
Factor 5*w**2 - 63*w**3 - 67*w**3 - 66*w**3 + 0*w**4 + 186*w**3 + 5*w**4.
5*w**2*(w - 1)**2
Factor 528*a**5 + 3 - 527*a**5 + 5*a - a**4 - 3*a**2 + a**2 - 6*a**3.
(a - 3)*(a - 1)*(a + 1)**3
Let 2/7*m**3 - 352/7 - 344/7*m - 80/7*m**2 = 0. What is m?
-2, 44
Let h(s) be the first derivative of 5*s**6/6 + 3*s**5 - 45*s**4/4 - 115*s**3/3 - 30*s**2 - 612. Factor h(j).
5*j*(j - 3)*(j + 1)**2*(j + 4)
Suppose -53*y = -57*y. Let l(z) be the third derivative of -1/12*z**4 + 9*z**2 - 1/15*z**5 + y*z + 0 + 1/3*z**3. Factor l(w).
-2*(w + 1)*(2*w - 1)
Let d be (-1)/(-3*(-3)/(-31437)). Let g be 6/(840/d) + (-1)/(-4). Factor -96/5 - 3*f**5 - 624/5*f**2 - g*f**4 - 408/5*f**3 - 432/5*f.
-3*(f + 2)**4*(5*f + 2)/5
Determine j, given that -23*j**3 - 8*j**4 + 43*j**4 - 582*j**3 + 170*j**2 = 0.
0, 2/7, 17
Let c be ((-6)/(-9))/(-2)*-9. Suppose -4 = m - 2*d, m + 2*d = c*m + 2. Factor 3/5 - 9/5*h + 9/5*h**m - 3/5*h**3.
-3*(h - 1)**3/5
Let o be -3 + (-156)/(-51) + 4/(-68). Factor 2/5*d**5 + 0 + 1/5*d**3 + o*d**2 + 0*d + 3/5*d**4.
d**3*(d + 1)*(2*d + 1)/5
Let h = 18 + -11. Let i be -2*(h/(-2) - -2). Factor -12*w**3 + 1 + i*w**4 + 12*w**2 + 4 - 5.
3*w**2*(w - 2)**2
Suppose -2/11*a**3 + 106/11 - 106/11*a**2 + 2/11*a = 0. What is a?
-53, -1, 1
Let k(b) be the first derivative of b**6/180 - b**5/45 + b**4/36 - 15*b**2/2 + 3. Let s(a) be the second derivative of k(a). Factor s(w).
2*w*(w - 1)**2/3
Let d(i) = -2*i**3 - 35*i**2 - 229*i - 384. Let b(g) = 3*g**3 + 53*g**2 + 343*g + 576. Let x(q) = -5*b(q) - 7*d(q). Factor x(r).
-(r + 4)**2*(r + 12)
Let i(u) = 3*u**3 + 19*u**2 + 173*u + 295. Let n(s) = -3*s**3 - 2*s**2 - s + 1. Let h(m) = -i(m) - 2*n(m). Suppose h(q) = 0. What is q?
-3, 11
Let x = -1602 + 1604. Suppose -w + 0 + 3/2*w**x = 0. Calculate w.
0, 2/3
Let h(k) be the first derivative of 0*k + 2*k**2 - 14 + 0*k**5 + 2/3*k**6 - 2*k**4 + 0*k**3. Factor h(j).
4*j*(j - 1)**2*(j + 1)**2
Let a(u) = 14*u**2 - u + 9. Let k be a(3). Let b be