4 - p*w**2.
-3*(5*w + 1)**2/4
Let z(g) = g**2 - 2*g - 1. Let b be z(3). Suppose -5*k = -5*s + 15, 5*k = b*s - 11 + 2. Factor -40*w - 17 + 4*w**2 - 42*w**s + 5*w**3 + 25*w**3 + 9.
2*(w - 2)*(3*w + 1)*(5*w + 2)
Let n(p) be the first derivative of -p**6/15 + 8*p**5/25 + 3*p**4/5 - 8*p**3/15 - p**2 - 205. Solve n(b) = 0.
-1, 0, 1, 5
Let y = -456 + 264. Let b = 1346/7 + y. Factor b*a**2 - 6/7*a**3 + 4/7*a + 0.
-2*a*(a - 1)*(3*a + 2)/7
Factor -4*o + o**4 + 5*o**2 + 54*o**3 - 53*o**3 - 9*o**2.
o*(o - 2)*(o + 1)*(o + 2)
Let x(r) be the first derivative of 2*r**4 - 10 + 64*r + 80*r**2 + 68/3*r**3. Factor x(t).
4*(t + 4)**2*(2*t + 1)
Let v(g) be the second derivative of g**5/4 - 15*g**4/4 + 25*g**3/2 + 125*g**2/2 + 5*g + 1. Let v(c) = 0. Calculate c.
-1, 5
Suppose -x = -0*x - 59. Suppose 57 = -f + x. Solve -1/3*u**4 - 2/3*u + 1/3*u**f + 2/3*u**3 + 0 = 0.
-1, 0, 1, 2
Let y(x) be the first derivative of -3*x**4/8 - 72*x**3 - 5184*x**2 - 165888*x - 24. Determine c so that y(c) = 0.
-48
Find g, given that 180*g + 3/7*g**2 + 18900 = 0.
-210
Let w(u) = 10*u**2 - 3185*u + 55125. Let k(s) = s**2 - 354*s + 6125. Let f(t) = -35*k(t) + 4*w(t). Let f(y) = 0. What is y?
35
Let a(d) = 3*d**3 + 9*d**2 - 6*d + 3. Suppose -42 - 13 = -5*j. Let l(m) = 10*m - 2 - j*m + 2. Let k(i) = a(i) - 15*l(i). Factor k(f).
3*(f + 1)**3
Suppose 3*v - 6*v = -15. Let p = 7 - v. Factor -p*h - 4*h + 6*h + 3*h**4.
3*h**4
Factor 3/4*g**2 - 345/2*g + 39675/4.
3*(g - 115)**2/4
Let f(b) be the third derivative of 2209*b**7/70 + 2773*b**6/40 + 30*b**5 + 9*b**4/2 + 43*b**2 - 11. Determine h so that f(h) = 0.
-1, -6/47, 0
Let y be ((-44)/(-560) - 2/8) + 0. Let x = -4/105 - y. Factor 0 - x*t**2 + 0*t.
-2*t**2/15
Let f(x) be the first derivative of 2*x - 1/3*x**3 + 1 - 1/2*x**2. Find k such that f(k) = 0.
-2, 1
Let r be (-6)/(-4) + 5/10. Factor 5*b - 95*b**2 + 101*b**2 - r*b.
3*b*(2*b + 1)
Let m(v) be the first derivative of -v**6/180 + v**5/45 + v**4/12 + 25*v**2 - 42. Let x(q) be the second derivative of m(q). Factor x(r).
-2*r*(r - 3)*(r + 1)/3
Let v be 6*(41/35 - (10 + (-1188)/126)). Find y, given that -3/5*y + 3/5*y**2 - v = 0.
-2, 3
Let h(b) be the first derivative of 0*b**4 + 1/120*b**6 - 1/20*b**5 + 2/3*b**3 - 2 - 5*b**2 + 0*b. Let i(l) be the second derivative of h(l). Factor i(t).
(t - 2)**2*(t + 1)
Let t be (-2 + 0)/(6/21). Let o be (-7)/14*t/(42/8). Factor 14/15*u**3 + o*u**2 - 4/15*u + 0.
2*u*(u + 1)*(7*u - 2)/15
Let p(m) be the third derivative of 1/210*m**7 - 1/60*m**5 + 0*m + 0*m**3 + 0 - m**2 + 1/40*m**6 - 1/12*m**4 - 1/336*m**8. Factor p(y).
-y*(y - 2)*(y - 1)*(y + 1)**2
Let u = 103 + -102. Let f(n) be the first derivative of -3*n + u - 3*n**3 + 3/4*n**4 + 9/2*n**2. Let f(x) = 0. What is x?
1
Suppose -74815*r + 74801*r = 0. Find n, given that -2/15*n**3 + 0 + r*n**2 + 2/15*n**4 + 0*n = 0.
0, 1
Suppose -56*i = 2*b - 53*i - 7, i - 3 = -b. Find f, given that 2/3*f - 4/3 + 2/3*f**b = 0.
-2, 1
Let d(k) be the first derivative of -k**4/48 - 5*k**3/36 - k**2/3 - k/3 + 76. Solve d(s) = 0.
-2, -1
Let m(t) be the second derivative of 0 + 1/70*t**5 + 25*t + 5/7*t**3 - t**2 - 3/14*t**4. Solve m(x) = 0 for x.
1, 7
Let r be 1 - -2 - (1 + 0). Let w be (4 + (-344)/80)/(-5*(-42)/(-175)). Factor w*b**r - 3/4 + 1/2*b.
(b - 1)*(b + 3)/4
Let g(t) be the third derivative of -t**6/450 + t**4/30 + 2*t**3/3 + 10*t**2. Let z(p) be the first derivative of g(p). Factor z(f).
-4*(f - 1)*(f + 1)/5
Let d be (-9 + (-869)/(-99))*-2. Let f = 2137/198 + -169/22. Factor -d - 2/9*w**5 - 32/9*w**2 - f*w**3 - 4/3*w**4 - 2*w.
-2*(w + 1)**4*(w + 2)/9
Let z(b) be the first derivative of -25*b**3/3 - 385*b**2/2 - 150*b + 669. Factor z(r).
-5*(r + 15)*(5*r + 2)
Let a = 2405693/10524228 + 8/18399. Let z = a - -7/52. Factor z*c + 2/11*c**2 + 2/11.
2*(c + 1)**2/11
Let x(l) = -l + 4. Let o be x(2). Factor 6*q - 1 + 1 + 3*q**o - 3*q**3 + 0.
-3*q*(q - 2)*(q + 1)
Factor -6/7*h**3 - 6/7 + 22/7*h - 10/7*h**2.
-2*(h - 1)*(h + 3)*(3*h - 1)/7
Let v(d) = 6*d**3 + 18*d**2 - d - 6. Let k(w) = -w**3 - 3*w**2 + w + 2. Let m(i) = -21*k(i) - 3*v(i). Determine n so that m(n) = 0.
-4, -1, 2
Suppose -m - 34 = -2*p - 3*m, 0 = 3*m - 6. Factor -n**5 + 7*n**5 - n**5 - 6*n**3 + 5*n**4 - 19*n**3 + p*n**2.
5*n**2*(n - 1)**2*(n + 3)
Let v(d) be the second derivative of 4*d**7/63 + 7*d**6/30 + d**5/4 - d**4/36 - d**3/6 - 31*d. Determine z so that v(z) = 0.
-1, 0, 3/8
Let a be (2 - 3)*-1 + 65/13. Let x(r) = r. Let y(p) = 2*p**2 + 8*p. Let g(h) = a*x(h) - y(h). Find n such that g(n) = 0.
-1, 0
Let r(v) be the second derivative of -v**6/10 + 6*v**5 - 150*v**4 + 2000*v**3 - 15000*v**2 - 173*v. Factor r(a).
-3*(a - 10)**4
Let d(g) be the second derivative of 8978*g**7/21 - 30887*g**6/15 + 11599*g**5/10 + 388*g**4/3 + 4*g**3 + 115*g. Suppose d(c) = 0. Calculate c.
-2/67, 0, 1/2, 3
Let k(n) be the second derivative of 0 + 0*n**3 + 1/20*n**5 - 1/8*n**4 + 2*n + 2*n**2. Let j(h) be the first derivative of k(h). Suppose j(f) = 0. What is f?
0, 1
Let 3/8*c**4 + 129/8*c - 93/8*c**2 + 15/8*c**3 - 27/4 = 0. Calculate c.
-9, 1, 2
Let j(g) = 16*g**4 + 15*g**3 + 284*g**2 + 534*g + 207. Let f(m) = -2*m**4 + 2*m**3 - m**2 + m. Let n(t) = -36*f(t) - 4*j(t). Determine c so that n(c) = 0.
-3, -1/2, 23
Let q be 61/(-8)*1 + 0 + 8. Suppose -1/4 + 1/8*k**3 - 5/8*k - q*k**2 + 1/8*k**4 = 0. Calculate k.
-1, 2
Let o(d) be the third derivative of d**7/1260 + d**6/120 + d**2 - d. Factor o(q).
q**3*(q + 6)/6
Let x be (3/(-10))/(255/(-2805) + 12/(-110)). Solve -6*q**3 + x*q**4 - 6 + 9/2*q**2 + 6*q = 0 for q.
-1, 1, 2
Let k(q) be the second derivative of q**7/840 + q**6/40 + 3*q**5/20 - 27*q**2/2 + 16*q. Let l(o) be the first derivative of k(o). Determine f so that l(f) = 0.
-6, 0
Let -1/6*d**3 - 1/2*d**2 + 1/2*d**4 - 1/6*d**5 + 1/3*d + 0 = 0. Calculate d.
-1, 0, 1, 2
Let t(r) = r**2 + 7*r - 62. Let x be t(-13). Let z be (2/(-5))/(x/(-80)). Factor 10/7*v + 2/7*v**z + 12/7.
2*(v + 2)*(v + 3)/7
Let y(m) be the first derivative of -2*m - 2*m**3 + 11 + 1/4*m**4 + 0*m**2. Let h(v) be the first derivative of y(v). Let h(o) = 0. What is o?
0, 4
Suppose 10*j - j**3 - 4 - j**3 + 4 + 8*j**2 = 0. What is j?
-1, 0, 5
Let d(s) be the third derivative of -s**7/1575 - 7*s**6/900 + s**5/10 + 95*s**4/36 + 200*s**3/9 - 368*s**2. Factor d(h).
-2*(h - 8)*(h + 5)**3/15
Let x = -15205 - -106447/7. Determine s so that 4/7*s**5 + 0*s + 12/7*s**3 + 4/7*s**2 + 0 + x*s**4 = 0.
-1, 0
Let o(h) = -h**2 - 58*h - 47. Let p(q) = -6*q**2 - 408*q - 327. Let c(m) = -15*o(m) + 2*p(m). Determine n, given that c(n) = 0.
-17, -1
Let n(h) be the first derivative of -3*h**5/25 + 51*h**4/20 - 93*h**3/5 + 105*h**2/2 - 294*h/5 - 427. Solve n(y) = 0 for y.
1, 2, 7
Let l be (-16)/(-14)*(-202)/(-404). Let o(d) = -d**2 + d. Let k be o(1). Factor k + 2/7*j**2 - l*j.
2*j*(j - 2)/7
Let i(p) = -6*p + 14. Let o(q) = 3*q - 7. Let y(h) = 2*i(h) + 5*o(h). Let s be y(3). Let 14/5*c + 2*c**3 + 2/5*c**4 + 18/5*c**s + 4/5 = 0. Calculate c.
-2, -1
Let m = 639/23960 + -1/599. Let t(z) be the second derivative of -m*z**5 + 1/60*z**6 + 0*z**4 + 0*z**2 - z + 0*z**3 + 0. Solve t(a) = 0 for a.
0, 1
Let n(l) be the third derivative of l**7/14 + 23*l**6/24 - 5*l**5/6 - 10*l**4/3 - 369*l**2. Factor n(d).
5*d*(d - 1)*(d + 8)*(3*d + 2)
Let i(s) be the second derivative of s**7/8820 - s**6/1260 - s**5/140 - s**4 - 7*s. Let j(o) be the third derivative of i(o). Suppose j(q) = 0. Calculate q.
-1, 3
Suppose -30*y - 6 = -y - 64. Let 0 - 2/9*s**4 + 0*s - 4/9*s**3 + 2/3*s**y = 0. What is s?
-3, 0, 1
What is q in 1/4*q - 1/2*q**4 - 1/2 + 1/4*q**5 - 1/2*q**3 + q**2 = 0?
-1, 1, 2
Let n be 1*-2*10/4. Let u = n - -8. Factor -3*z**u + z - 6*z**2 + z**3 - 5*z + 0*z.
-2*z*(z + 1)*(z + 2)
Let t(j) be the first derivative of -j**4/22 - 4*j**3/11 - 5*j**2/11 + 110. Solve t(a) = 0.
-5, -1, 0
Let o(q) = -36*q**5 - 594*q**4 - 1170*q**3 - 552*q**2 + 15. Let h(f) = -5*f**5 - 85*f**4 - 167*f**3 - 79*f**2 + 2. Let y(w) = 15*h(w) - 2*o(w). Solve y(d) = 0.
-27, -1, 0
Let o(l) = l**3 - 16*l**2 + 8. Let t be o(16). Factor 0*u**2 - 33*u + t - 28 + 11 + 12*u**2.
3*(u - 3)*(4*u + 1)
Let d(x) be the third derivative of -3*x**5/20 + 289*x**4/8 + 97*x**3 + 4*x**2 + 19. Find l, given that d(l) = 0.
-2/3, 97
Let y = 24/17 + -69/85. Let d = -2534/5 + 2537/5. Let -y*i**2 - d + 6/5*i = 0. What i